diff --git "a/data/dm_maths/full_data_2/10706_11255.jsonl" "b/data/dm_maths/full_data_2/10706_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10706_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -392 divided by -341?\nAnswer: 392\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 92\/(-9)) + 10\/(-45). Suppose 5*x + 3*y - 43 = 5*y, -f = 3*y. Solve 3*u + 4 = x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 1*(sqrt(3) + -2))**2*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 3*a**2 + 2*a - 9. Calculate the remainder when z(4) is divided by (16\/10)\/((-2)\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2. Let k(x) = -373*x**2. Give k(l(s)).\nAnswer: -1492*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = w + 2*w + 66, 0 = -2*n - 3*w - 36. Let f be (-2)\/(-3)*n\/6. Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(495)\/sqrt(9)*4)\/(5*((sqrt(720)*-1 - sqrt(720)) + sqrt(720))*-3).\nAnswer: -2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -b1?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12012 and 1386.\nAnswer: 36036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k = 3. Let f = k + -5. Let l(g) = -90 - g + 81 + 14. Let t(c) = -1. Give f*t(n) - l(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4 + 154. Let y be (30\/(-25))\/(i\/100). Let m(g) = -g**2 - 4*g - 8. Calculate m(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/54*(-3)\/1. Let f = 53.8 - 51.33. Let i = -2.57 + f. Put -2, -8\/3, s, i in decreasing order.\nAnswer: s, i, -2, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l = -15, 0 = 4*o + 4*l - 196. Calculate the greatest common divisor of 135 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y + 36 = 0. Let p = -9 + y. Suppose -2 - 3 = 4*h + 3*l, 2*h + 7 = -3*l. Put 5, p, h in increasing order.\nAnswer: h, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -18. Let p = b + 46. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -31*v. Let j(q) = q**2 + 2*q - 33866. What is j(k(u))?\nAnswer: 961*u**2 - 62*u - 33866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(16)\/(6*sqrt(32)\/sqrt(4)) + -5 + sqrt(2)*-2 + sqrt(2) + sqrt(2) + -2.\nAnswer: -11 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*g = 51*g + 2940 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**3*z - x**2*z + 14*x*y*z + x*y - y*z + 4*y + 8*z wrt x?\nAnswer: -3*x**2*z - 2*x*z + 14*y*z + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1112 - 0.1112. Which is the nearest to r? (a) 0.4 (b) 0.2 (c) -1 (d) -9\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35412 (base 7) to base 2.\nAnswer: -10001110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z + 9. Let b be n(3). Let s be (-3)\/b - 220\/(-36). Suppose 9*x - 357 = s*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -210, -257, -354, -519, -770, -1125?\nAnswer: -1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4033 + 4030.82. What is h rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 65 + 26 - 89 = 0. Solve -4*b - o*y = -12*y - 16, 4*y - 16 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = x + 146, x + 74 + 36 = 3*v. Let s = -22 + v. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.111 times 95\nAnswer: -10.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/6)\/(1\/(3171\/(-14)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/249 - -253\/498. Which is the nearest to g? (a) -2 (b) 0 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:32 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - -0.3. Let t = k - -11. Let r = -10 + t. Which is the second biggest value? (a) 0.2 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3072 and 41\/352.\nAnswer: 33792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79303, -317192, -713675, -1268752, -1982423, -2854688?\nAnswer: -3885547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.83 - -0.58. What is t rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(11)*1*6)*-1)\/((sqrt(300)*1*-6 - sqrt(300))*-2).\nAnswer: -sqrt(7)\/840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19261440 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 - 94*w\/3 - 196.\nAnswer: 2*(w - 147)*(w + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (2 - (-2 + 0 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5591 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -4 + -12)\/(1\/(-1)). What is the derivative of -12 - 12 + 23 + c*a**2 wrt a?\nAnswer: 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b368 (base 13) in base 11?\nAnswer: -1438a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*d**2 - 95*d**2 + 36*d**2 + 6 + 12*d + 26*d**2 to the form z*d**2 + l*d + u and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 105\/10*-1*8\/(-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 98*d**3 - 5*d**2 + 59*d - 5. Let t(j) = 47*j**3 - 3*j**2 + 32*j - 3. Calculate -3*f(p) + 5*t(p).\nAnswer: -59*p**3 - 17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 6:59 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 31 = -3*l, 5*k - 3*k - 5*l - 20 = 0. Suppose -u - 2*z + 6 = -6*z, -9 = -k*u - z. Let s = u + 1. Calculate the least common multiple of s and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a second in milliseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + 3. Let y(u) = -2 + 0 + 7*u - 1 - 4. Determine -4*y(p) - 10*z(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*31613.7.\nAnswer: -47420.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 696813880 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 56*q + 85. Let z be d(-29). Differentiate 14*f - z*f - 25*f - 31*f + 20 with respect to f.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 97058, 776938, 2622350, 6216068, 12140866, 20979518?\n\"Answer: 97129*y**3 - 8*y**2 + y - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkwk when four letters picked without replacement from wwwkwkwwww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -45. Suppose 5*t + 3*w - f = 0, w = -4*t + 3*w + 46. Solve -3*y = -h + t, -5*y - 4*h - 19 = 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = c + 19, -5*c - 13 = -2*j + 25. Let p = 29 - j. Let y = 17 + 11. What is the remainder when y is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767138 to the power of 1\/2, to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/89376 and 67\/16416.\nAnswer: 804384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50608 - 35588. Find the third derivative of -2*k**6 + v*k - 15020*k + 94*k**2 - k**4 wrt k.\nAnswer: -240*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 6*m**2 + 7*m + 3. Let t be l(-7). Suppose -4*p - 5*u + 8*u = 543, -t*p - 3*u = 381. List the prime factors of p\/11*14\/(-4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.32, -10, -3?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.2 - 2.068.\nAnswer: -23.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3646211 (base 7) to base 6.\nAnswer: -13551205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.85 + 0.05. Let z = q + -3.2. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*d - 2323, -4*d + f = -0*f - 4679. Suppose -161 + d = 3*u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 17*u**4\/3 - 15*u - 17. Let a(w) = 34*w**2. What is a(h(i))?\nAnswer: 157216*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(30\/5))\/(11\/55)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 - 74 = 63*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33.3? (a) 1\/8 (b) -715\/12 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 32) + 30 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*718.4\nAnswer: -359.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -34. Suppose -4*n = 8*n + 96. Let m = -33 + 32. Put n, s, m in decreasing order.\nAnswer: m, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*24\/15*1995\/114.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104544173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-9)*(-1)\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -35, -4\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:37 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 13.\nAnswer: -23\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 32. Solve 5*f = 2*l - 20, -2*l - 2*f - 20 = h*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l + 26 - 26. Which is the nearest to l? (a) -3 (b) -3\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4381027 + 4?\nAnswer: 4381032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -110111010?\nAnswer: -110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 692.4 + -1289. Let q = r - -597. Which is the nearest to -1? (a) 0.9 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 45. Let j(u) = -5*u**2 + 2*u + 1. Determine j(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 12. Let x = -21 - -32. What is the units digit of g(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 2*y - 484, -4*f - 5*y + 995 = 0. Let x = -2207\/9 + f. Let i(u) = u - 4. Let q be i(2). Which is the nearest to -1? (a) -0.1 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 90 = 112. Let t = 268 + v. Calculate the smallest common multiple of t and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + g + 20 - 13 = 0, -2*r + g + 3 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 3. Let y = -86056 + 1204093\/14. Let x = y + 99\/2. Which is the closest to k? (a) 0.1 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**7\/21 - w**3 + 30*w**2. Differentiate l(p) wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*h - 37, 41 = 4*h + 7*t - 2*t. Suppose h*v = 13*v + 2. Suppose -3 = -3*o, 3*d = -v*d + 4*o + 15811. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 158. What is the remainder when m is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 7\/24*y**4 + 1\/30*y**5 + 0*y + 8\/3*y**3 - 15*y**2 + 0. What is the units digit of z(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-70)\/(-147))\/(9\/(-252))?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536346736 to the nearest integer?\nAnswer: 23159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 137*i**6\/60 + i**5\/30 + 167*i**4\/2 + 784*i**2. Find the second derivative of c(o) wrt o.\nAnswer: 1644*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 3*r - 70. Suppose -r*w = -48*w - 27. What is the greatest common divisor of w and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2025, -2011, -1991, -1965, -1933?\n\"Answer: 3*y**2 + 5*y - 2033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 169*s**3 + 5*s**2 - 6*s**2 - 282*s**3 + 1382*s**3.\nAnswer: 1269*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-42))\/((-1)\/(-14)). Suppose 4*z = -k*d + 13056, -2*z - 6508 = d - 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/18)\/(2\/(-48)). Suppose -15 = 5*a, 3*i + 52 = -2*a - 20. Let u = d + i. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -4*p - 17596 + 17668, -3*w - 8 = 4*p for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (42 - (51 + -43))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -6 + 5 + (-8 - -15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 239, 2 in descending order.\nAnswer: 239, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 6093047580132.\nAnswer: 6093047580132.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -0.4 (c) 141 (d) 1\/8 (e) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 12, -0.2, -0.1, -2\/11, 160034?\nAnswer: 160034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f**3*o**2 - f**3*o + 3*f**3*q - 19*f**3 - 303*f**2*o**2*q + 4*f*o with respect to q.\nAnswer: 3*f**3 - 303*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 18553821*q**2 + 15 + 18553823*q**2 + 0*q - 56.\nAnswer: 2*q**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/10 + x**4\/24 + 2*x**3\/3 + 46*x**2 - 10*x + 2. Let b(z) = z**2 - 1. Calculate b(k) + i(k).\nAnswer: -5*k**2 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-230)\/(-80) + (-1)\/(-8). Solve -h*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 35*i + 2*i + 23*i.\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-90) - (-4)\/9. Find o such that -1\/2*o + m*o**3 - 1\/2*o**4 + 0 + 1\/2*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243233145 (base 6) to base 8\nAnswer: 21544571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -5. Let h be 38\/9 - l\/63. Suppose -5*r + 2*y = h*y - 106, 98 = 4*r - 5*y. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-189) - (-136)\/(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 1. Let z be m(-2). Suppose -h = -6*h + 575. Suppose -z*x = 4*s - 120, -h = -5*s - 0*x + 5*x. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440247383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34820576 divided by 656992.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13826 is divided by 4502?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/43, 2, 0.3 in decreasing order.\nAnswer: 2, 0.3, 0.1, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3692526 (base 11) to base 6.\nAnswer: 345303541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 22*s + 5. Let l be x(-3). Let h = 82 + l. What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.3, 838, 0, -1, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 1. Let w(t) = 6*t**2 + 4*t - 15. Let z(q) = 5*u(q) + w(q). Let y be z(-6). Suppose s + y*s - 54 = 0. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82*s**3 + 4*s**2.\nAnswer: -2*s**2*(41*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 9*m + 4. Let y be v(-9). Calculate the highest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4177 by 44.\nAnswer: 4177\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 9cb32?\nAnswer: 9cb2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - l + 15 + 18, -5*j = -2*l - 25. Put j, 4, -3 in ascending order.\nAnswer: -3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*m**(1\/3))\/(m**(-3\/8)*m*m*m**(-2\/3)) assuming m is positive.\nAnswer: m**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5)\/(15\/(-108))*(-5)\/(-10) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -206 + 370. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4315068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4715 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -448, -35, 37.1, 7 in descending order.\nAnswer: 37.1, 7, -35, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 19 - 8 = 0. Let j = -6 - s. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0816 + -0.063. What is k rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 361*v**3 + 63*v**3 + 3*v - 12*v + 74*v**3 + 3 - 3 + v**3 + (3*v - 2*v - 2*v)*(-2 - 2*v**2 + 2) + 3*v**3 - 5*v**3 + v**3.\nAnswer: 500*v**3 - 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1ee3d?\nAnswer: 1ee39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -231?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27206 + -2?\nAnswer: -27208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9155 divided by -4442\nAnswer: -9155\/4442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, 3, 8, -2, 0 in ascending order.\nAnswer: -2, 0, 3, 8, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 7*d**2 + 8*d - 1. Let y be i(6). Let g = y + -14. What is the units digit of 85 + g*(-3)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o - 90 + 118 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19059290*a*x**4 + a*x - 97065*a - 13*x**2 wrt x?\nAnswer: 457422960*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-352)\/(-55))\/(-11 + 285\/25).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -81172.\nAnswer: -81169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 2, l: 1, b: 2, j: 1, n: 1}. What is prob of sequence rbe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {u: 3, l: 6, x: 4, h: 2, a: 4, b: 1}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105744.98 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22181262 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -443, 2, -6, 4, -3, 0 in descending order.\nAnswer: 4, 2, 0, -3, -6, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -646044 (base 10) in base 6?\nAnswer: -21502540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 (base 5) in base 6?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72072.3 kilograms to milligrams.\nAnswer: 72072300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*q + 41. Find the second derivative of -q*x + 5*x - x**5 + 2*x - 21*x**5 wrt x.\nAnswer: -440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1461984233 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuyu when four letters picked without replacement from yyuyuyyyyyuyyyyuyyu.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12748554?\nAnswer: 2, 3, 7, 13, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3180?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d - 2*h + 11, -2*d = -2*h + 6. Let u be (-2)\/((6 + -2)*-2). What is the nearest to 1 in 3, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22521 (base 7) to base 4.\nAnswer: 1121310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(6\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2.5, -38, 0.0623 in ascending order.\nAnswer: -38, -2.5, 0.0623, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292797483900 minus 4?\nAnswer: 1292797483896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {q: 1, u: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32397416 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 496 - 229. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3506575837 - -12457?\nAnswer: -3506563380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*b - 21, 4*b = 3*r - r + 10. Suppose 0 = b*p - 12*p + 24. Suppose 3*m = w + 65, 2*w + p*w + 65 = 2*m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.16529 weeks to seconds.\nAnswer: 3123967.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39253\/3 or -13085?\nAnswer: -13085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223937657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 6)*(0*f**3 + 3*f**3 - f**3) + 2*f**3 + 0*f + 0*f)*(28*f - 28*f - 3*f**2 + (0 + f + 0)*(-7*f + 2*f - 11*f)).\nAnswer: 38*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -986*t - 2. Let o be ((-6)\/4)\/((-87)\/(-116)). Let c be y(o). Suppose h + h = c. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v - 9 - 56*v + 115*v + 9 - 40*v - 28*v**3.\nAnswer: -28*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*o**2 + 81 + 44135*o - 81 - 44100*o to the form j*o**2 + m*o + u and give j.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 6. Let j(n) = -13*n + 26. What is -2*j(y) + 9*u(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 85*0.04486\nAnswer: 3.8131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*o + 59 - 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -8.3.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(-34)\/(-170)*60\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11765415853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -53*o**2 + 71*o + 70. Let s be k(-1). Which is greater: -381\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 656433?\nAnswer: -656432.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168169266 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 67. Calculate the least common multiple of 50 and x.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 3*s**2 - s + 1. Is y(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x + 17. Let w be t(-4). What are the prime factors of (0 - w\/(-6)*-8) + 712?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -3, -1, -1\/6, -0.8, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1))\/(-1) + 1. Suppose a*x - 400 = -3*q, -x - 5*q - 950 = -6*x. Calculate the remainder when 2\/(-8) + x\/8 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94598 is divided by 457.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmcc when four letters picked without replacement from ccmccccqlclmccmcllcl.\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - f)*(10 - 10 - 12*f) + 170*f - 170*f + 13*f**2.\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1935, 3924, 5925, 7938, 9963, 12000, 14049?\n\"Answer: 6*z**2 + 1971*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*w*y**3 - w*y**2 + 70*w*y - 154*w wrt y?\nAnswer: 24*w*y**2 - 2*w*y + 70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.044 and 1?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -15*x - 244. Which is the fifth smallest value? (a) -0.4 (b) 5 (c) -5\/22 (d) -2 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 2*w**3 + 6 - 45*w - 5 + 47*w - 14*w**4 + 0*w**3 as t*w + l*w**3 + q*w**2 + h*w**4 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28176.\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + -3.7071378013?\nAnswer: -3.6371378013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -473*a + 948. Let i be c(2). Let h(j) = -16*j - 2. Let l be h(-4). Suppose -i*z + l = -378. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -591, -2314, -5171, -9162, -14287?\n\"Answer: -567*b**2 - 22*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 214560*h. Let j(c) = 64*c. Determine j(i(o)).\nAnswer: 13731840*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*q + 4 - 65, 0 = -4*q - 7*x + 272 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5838228 divided by 6?\nAnswer: -973038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 5, -57, 8\/21, 0.28 in increasing order.\nAnswer: -57, -4, 0.28, 8\/21, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 1210*u**6\/3 + 1170*u**3 + 1602. What is the third derivative of l(n) wrt n?\nAnswer: 145200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 + 104700*c**2 - 92171625*c + 20733553750 = 0. Calculate c.\nAnswer: 455, 20030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 34\/45*m**5 + 0*m + 4\/27*m**6 + 4\/3*m**4 + 26\/27*m**3 - 64 + 2\/9*m**2. Suppose k(d) = 0. What is d?\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -1, 1.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91.7 + -11.7. Let o = -67 + c. Let a = -12.99758 + o. Round a to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/((-91)\/(-14)) + 12 + -7. Let g(j) = 2*j**3 + j**2 - 2*j + 2. Calculate g(i).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1617 + 1620. Sort -1, 1, 14, l, -5 in increasing order.\nAnswer: -5, -1, 1, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3768649 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**2 - 5*r - 4. Let h(n) = 8*n**2 - 4*n - 3. Let j(u) = 6*h(u) - 5*z(u). What is the units digit of j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 709674 = 3*c, -u - 31*c + 28*c + 177441 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 12*f - 7*f - 7*f**3)*(4142*f - 4358*f - 2378*f) as j*f**3 + t*f**2 + m*f**4 + v*f + y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 2*k**2 + 2*k + 52. What are the prime factors of f(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**2 + 8*q - 23 + 20 + q)*(-3*q**2 + 4*q**2 - 4*q**2) to the form a*q**2 + k + c*q + v*q**4 + x*q**3 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204078 and 10729446?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose 0 = n*q - r - 171229 - 668775, 0 = 4*q + 5*r - 1119980. What is q rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 962 divided by -51\nAnswer: -962\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -13612489\nAnswer: 29\/13612489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 697\/22 - 63\/2. Let y be ((-1)\/11 - (-2523)\/(-3828))\/((-9)\/(-8)). What is the nearest to -0.1 in -1\/4, y, n, -6\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 51 = -3*z + 29, 5*b = -4*z - 4 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpn when three letters picked without replacement from bhnpkkkkwwwwpkwwp.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-7) + -2 - 880\/(-7). Solve 3*l - b = -141 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/24*(((-496)\/(-112) - 11) + (4 - -4)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 770, 1153, 1534, 1913, 2290, 2665?\nAnswer: 3038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = -5*c, c = -z - c + 4. Let i be 5 + 4\/(-8)*z. Let x be -8 + 12\/i + 64. What is the greatest common divisor of x and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 19*z**2 + 17*z + 3. Let j be q(-18). Solve 2*w + 5*w = j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y - 5*j = 43*y + 4676, -3*y = -4*j - 14050. List the prime factors of y.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 12) in base 9?\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 31*d = -14963. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 4, t: 16}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - i = -12 - 28, 5*i = 3*n - 24. Suppose -s + 768 = n*o - 13*o, 723 = s + 4*o. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -832*t**6 - t**3 - 10193*t**2 wrt t.\nAnswer: -99840*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -626.7633 to the nearest integer.\nAnswer: -627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/1)\/(21\/(-14)). Suppose -4*o = 20, c*b - 5*b - 3*o = -60. Let p(t) = -17*t + 37. Let q be p(-14). Calculate the greatest common factor of b and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 8*a + 11. Calculate l(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*i + 996*i = 207 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 + 24)*(-7 - 7*s + 7)*(-1 + 1 - 4*s) as t*s + h + y*s**2 and give y.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4756?\nAnswer: 3\/4756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2304 and 14.\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -296*n**3 - 131*n**3 - 20*n**3 - 335*n**3 - 3*n + 3*n + 2*n**3 + (2*n - 3*n + 0*n)*(-2*n**2 - 1 + 1).\nAnswer: -778*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*l = -128, 5*k - 2*l - 640 = -6*l. Solve 0 = 3*i + 116 - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2740, -2750, -2760, -2770, -2780?\nAnswer: -2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -543.16828 to zero decimal places.\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -183, -1, 0.3, 1, -1\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1.8. Let d = b - 2.6. What is the smallest value in 5, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 0 - (0 + -3). Let s(f) = -2*f + 2 + 3 - n + 0*f. What is s(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 56. Suppose 4*s - 10 = -i + q, s = 5. What is the lowest common multiple of 11 and i*(-2)\/((-8)\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 26*f**2. Let w(r) be the second derivative of -r**4\/6 + 416*r. Determine w(j(l)).\nAnswer: -1352*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2*g**3 + 2*g**3)*(2*g - 2*g + g)*(22 + 50*g - 126*g + 74*g).\nAnswer: -2*g**5 + 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 52766844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-63)\/168. Which is the smallest value? (a) -4 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 9) in base 15?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5))**(-1\/25))**30\/(((s*s*s**0\/s)\/s*s*s**(-2\/15))\/(s**(-5)*s*s**(1\/3))) assuming s is positive.\nAnswer: s**(-304\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-9)\/7 - (-1596)\/(-588). Let d(u) = -3*u**2 + 19*u - 38. Let m(t) = 5*t**2 - 19*t + 36. Let f(r) = v*d(r) - 2*m(r). What is w in f(w) = 0?\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + (-10)\/(-4). Suppose -n - 5 = -m*n, -4*b - 3*n = -23. Factor -y + y + y**b.\nAnswer: y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 62?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 10*a - 13. Suppose -2*z = 3*b - 28, -z - 14 - 27 = -4*b. Give d(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*d**3*g**2 - 24*b*d**3 + 3*d**3*g**2 - 11*d*g**2 - 2 wrt b.\nAnswer: -d**3*g**2 - 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9188*h**2 + h + 23*h**3 - h - 9188*h**2.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-10)*(0 - 0). Suppose 4 = -r*l + l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, e: 9, d: 6}. Give prob of picking 2 d, 1 e, and 1 v.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1651416439 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -106*y + 351. Let s be z(3). Suppose g = -10*g + s. Let o = -8\/5 - -19\/15. Which is the nearest to 1\/3? (a) -1\/9 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404051 is divided by 871?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4*v - v + (1 - 1 + v)*(0 + 2 - 4) - 7*v + 5*v - 12*v + 3*v - 2*v + 0*v + (1 - 3 + 0)*(2*v + 2*v - 3*v))*(0 - 6*v + 0).\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31297567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**4 + 4*p**3 - 4*p**2 + 5. Let l(g) = -14*g**4 + 11*g**3 - 11*g**2 + 16. Let v(w) = 4*l(w) - 11*s(w). What is the derivative of v(x) wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (6 + (-12 - -5) + 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51720972 divided by 12930243\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 10*u**2 + 12*u - 19. Let b be h(9). Suppose b*a - 12*a = -20. Solve 2*k = -x + k - 6, -a*k = -3*x + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -31 - 33 + 14*y**2 - 69*y + 72 + y**3. Is 15 a factor of v(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13*(c**(-1\/6)*c*c)\/c)**29\/((c*c*c*c**(-1\/3)\/c)**(-28\/5)*(c**(-1\/2))**(12\/7)) assuming c is positive.\nAnswer: c**(5759\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-189) - (710\/(-21))\/2. Let y be (7 + -3)\/((-4)\/10). Let l = y - -10. Is o >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8*d)\/d*d**(3\/5))\/(d**2)**(-41)*(d*d**(-3\/13)\/d*d**(2\/13))**38 assuming d is positive.\nAnswer: d**(5699\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s*s)**(-35)\/(s**2*s\/(s**1\/s)) assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192322034 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c + 0*c)*(-3 - 1 + 5)*(-2 + 3 + 1 + (-3 + 3 - 1)*(1 - 3 + 3)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - 61 - -10) + (27 - 1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-822)\/976 - 3\/(-6). Let q = -2\/61 + k. Which is the nearest to 1? (a) q (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 5*r**2 + 3*r - 6. Let g be i(5). Suppose 6*a + 171 = g*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 549*r**2 - 2167*r + 6940. Determine f(-545).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117))**2 + 1 - sqrt(39)\/sqrt(48)) + (1 + -2*-1*sqrt(13) + sqrt(13))**2.\nAnswer: 23*sqrt(13)\/4 + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -5*d + 4*j + 20, 4 = d - 2*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -1.6. Let n = -0.7 - i. Let a = n - 0.4. Which is smaller: -4\/3 or a?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/(-2340)*-36 + (6\/10 - -1). Solve 5*k + o = -16, h*o = -2*k + 27 - 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(288) + sqrt(288))\/(sqrt(36)\/sqrt(216)).\nAnswer: 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.311 and -243.\nAnswer: -4935.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h - 2. Let x be 6\/9*6\/4. Let a = x - h. Solve -2*y = a*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6657, 317 in decreasing order.\nAnswer: 317, 2, -6657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y**3 + 1. Let j = 14 + -15. Calculate a(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 3*k**2 + 4*k - 1\/6*k**3 - 1\/20*k**5 + 7\/12*k**4 + 0. Let i be p(7). Which is smaller: i or 2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113244, 226489, 339734?\nAnswer: 452979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -40, -0.05, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-18585)\/9 + -10)*18\/(-30) is divided by 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Two letters picked without replacement from mmqiqeeimaixeiiqqie. Give prob of picking 1 e and 1 x.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 14 = -4*m, 4*m - 2 = -c + 1. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001443 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 + 40*r**2 + 91*r. What is the tens digit of d(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667447 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1337004332 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*g + 29*g**2 - 127*g + (2 + g - 2)*(2*g - 3*g + 0*g) as x*g + p + t*g**2 and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6.25 + 0.461\nAnswer: -5.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.241177 to 1 dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(7\/5)*j*j**(-10)\/j assuming j is positive.\nAnswer: j**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732055 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1855902 (base 13) to base 15\nAnswer: a71446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(n - 1 + 1) - 3*n - 25 + 25 + (1 + 4 - 4)*(-1 + 3 + 0 - 2*n).\nAnswer: -6*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -12. Let n(u) = -34. Let x(g) = 15. Let t(f) = 4*n(f) + 9*x(f). Let b(r) = -7*r**2 - 6. Let q(j) = a*t(j) + b(j). Let w(o) = o**2. What is w(q(m))?\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90162 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000070361 rounded to seven decimal places?\nAnswer: -0.0000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 17 = 5*o, 3*o = 5*k - k + 31 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p - 4. Determine u(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037275 minus 0.6?\nAnswer: -0.637275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 12125123?\nAnswer: 12125111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/8)\/p)\/p)\/p*p*((p\/(p**(-6\/17)*p)*p)\/p)\/p assuming p is positive.\nAnswer: p**(-309\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13653551 + 346?\nAnswer: 13654230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*h**2 + 29*h - 43*h**2 - 29*h.\nAnswer: -237*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -t - 1845. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*(sqrt(228)*-3 + sqrt(228)) + sqrt(228))*-2)\/((-3*sqrt(192) - (1*sqrt(12)*-2 + sqrt(12)))*2).\nAnswer: -25*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a = -148 + 204. Solve 0 = j + 5, 2*s - j = a + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168627 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let l(i) = 36*i + 7. Let r(p) = 12*p + 2. Let h(n) = -4*l(n) + 14*r(n). Calculate j(h(z)).\nAnswer: -576*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:01 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*a + 4095 = 0, -7*o + 3*a - 817 = -8*o. Let n = 2043 + o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 - -239. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1869423 + 128323. What is i rounded to the nearest ten thousand?\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -166, -350, -548, -766, -1010, -1286?\n\"Answer: -s**3 - s**2 - 174*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162792 = -21474*s + 6800*s - 2114434 for s.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 0*v - v - 6976*v**3 - 2 + 6312*v**3 to the form g*v + c*v**3 + n + x*v**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42675200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2*c**3 + 3*c**2\/2 - 3*c - 29. Let d(v) = 5*v**2 - 2*v + 2. Calculate 3*d(t) + 2*z(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57636\/3 - (-182)\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 1. Suppose -3*q - 23 = 22. Let z = a - q. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 96.25. Let c = -0.15 - u. Let y = -6.1 + c. Are y and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/106417252 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 987195 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 m when three letters picked without replacement from wmmmwwmmwmwwmmmw?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*v = 11, -16*r = -13*r + v - 81. Suppose -r*l - 22*l = -95136. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10727979.\nAnswer: 3, 3575993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 52*b**3 + 2*b - 1. Is q(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.56 rounded to one decimal place?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -22*w - 569. Let u(r) = 5 + 4*r + 4 - 8. Calculate the remainder when u(4) is divided by x(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((3\/207)\/(-2 - -3)). Suppose 27 - v = -2*z. Suppose 20*m - z = 19*m. Calculate the remainder when 57 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7a28b (base 13) in base 2?\nAnswer: -10000011011011010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1185*c + 1180*c - h + 14 = 0, -2*h = -2*c + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64, 258, 582, 1036, 1620, 2334, 3178?\n\"Answer: 65*i**2 - i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1725661 is divided by 575036.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 - -137. Suppose 5 - 18 = p - 3*n, -2*p = j*n + 66. Let i(c) = -c**3 - 29*c**2 - 32*c + 12. Does 14 divide i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2\/8 - 11013966*b = 0.\nAnswer: -29370576, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/144*4)\/(2\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 4)*(235\/50 - 5) + (-532)\/(-315)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m. Let v(y) be the second derivative of y**2 + 5*y. Let j(z) = -z - 4. Let f(c) = -3*j(c) - 6*v(c). Give f(p(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmm when three letters picked without replacement from {m: 4, q: 3, j: 2, l: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2120\/(-14))\/10 - (-7)\/(98\/(-12)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 56 = -24. Suppose -10*a + a + 45 = 0. Suppose a*m - 6 = 3*m. Sort u, 0, 5, m in ascending order.\nAnswer: u, 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 677310 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/11)*c**(-7\/3))\/(c**(1\/10)\/c**4)*(c**(-1\/5)*c)**(2\/89)*(c**(-2)\/c*c*c*c)**(-6\/13) assuming c is positive.\nAnswer: c**(43871\/29370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1482217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -3 - 9) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * 2299.5\nAnswer: -321.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5)**(-17) assuming w is positive.\nAnswer: w**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0*j + 0*j)*(-4*j - 7*j + 3*j) in the form q*j**2 + m*j + g and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 8*d + 9. Let j be f(-6). Let r(o) = 16 + o - 10 - 7 - 2*o. What is the units digit of r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/166011 and -107\/1992132.\nAnswer: 1992132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110110 (base 2) to base 4.\nAnswer: -11312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8941090 and -2\/20564507?\nAnswer: 205645070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264934, -264935, -264936?\nAnswer: -264937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46840 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*v + 15*v = 594 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 196*x - 1125. Give n(-19).\nAnswer: 3321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2407 is divided by 796.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2*(-2)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {w: 8, m: 1, i: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4))\/((-5)\/(-140)). Let m be t\/2 + (-93)\/31. Put m, 0.2, -2.6 in decreasing order.\nAnswer: m, 0.2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfxx. What is prob of sequence xff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1d7d?\nAnswer: -1d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -113*x**6\/60 - 27*x**4\/2 + 59*x**2 - x. What is the second derivative of f(o) wrt o?\nAnswer: -1356*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2. Let p(x) = 5*x + 39. Let w be p(-7). Let g(i) = w*i + i - 6*i - 2*i. Give u(g(v)).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 3*z + 308. Calculate the remainder when 250 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92354 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 30. Let r be 8\/((-96)\/x)*-252. Calculate the greatest common factor of 45 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 264.1 + -248.1. Put l, 2\/5, -3\/7, 0.5, 3 in descending order.\nAnswer: l, 3, 0.5, 2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -29. Let f be d\/10*2\/(-6). Let l = -0.0188 + -0.1812. What is the third smallest value in -2, l, -0.3, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from dkddwdododdddoo?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4156, 7365, 10570, 13765, 16944, 20101, 23230, 26325?\n\"Answer: -f**3 + 4*f**2 + 3204*f + 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -195*s + 178*s. Let u(m) = -m**3 + 7*m**2 - 14*m + 19. Give u(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.3, 929, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-27) - 22\/(-18). Suppose l + h = 4. Does 17 divide 34\/l*54\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a**2 + 2804*a - 800 = 0. Calculate a.\nAnswer: 2\/7, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let w(c) be the second derivative of c**3\/3 - 8*c**2 - 335*c. Give t(w(u)).\nAnswer: -2*u + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*y = 18, 34*y - 30*y = 2*a + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 10, -5, -9, -105 in increasing order.\nAnswer: -105, -9, -5, -3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/119*(1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**4\/24 + w**3\/6 + 2*w**2. Let p be (-6)\/(-8) - (11\/4 - 3). Let o(l) = l - 4. What is p*o(i) + 3*b(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - n**3 - 2*n**2)*(401 + 615 + 899) as j*n**3 + t + q*n**2 + g*n and give j.\nAnswer: -1915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 26*f**2 + 1 - 8*f**2.\nAnswer: 18*f**2 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37790 by 2.\nAnswer: 18895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + 4. Suppose m = -4*j + 9. What are the prime factors of 2 + (6\/j)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*f**3*h**3*w - 343104*f**3*w**3 + 6*f**2*h**3*w**2 - 3*f*h**3*w**2 - 61861*h**2 + 3*w**3 wrt f.\nAnswer: 102*h**3*w - 2058624*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12090 and 20046?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.39*153\nAnswer: -59.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032 (base 4) to base 12.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in -1.9, -3, -1\/7, 39, -10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 268 = -3*p + 308, 5*p + 5*l - 970 = 0. List the prime factors of p.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 82 - 230 = 0. Calculate the greatest common divisor of d and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*u**4 + 298*u**2.\nAnswer: -2424*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 692760671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.09 - -2.86. Let o = w - 9. Which is the smallest value? (a) 1 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 317\/2 (b) 1\/5 (c) -5 (d) 2.1241 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -25.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.239 - 0.339. Let d be (1\/4 + 0)*-2. Which is the smallest value? (a) d (b) -1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10959076649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 14*u**2 + 33*u - 11. Let v(x) = -x**3 - 8*x**2 + 156*x - 11. Let h be v(9). Calculate d(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03721321472 - 16753.25749821472. Let u = y + 16753. Let o = 0.22 + u. Round o to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*o**2 - 342 - 92*o**2 - 83*o**2 - 94*o**2 - 93*o**2.\nAnswer: -14*o**2 - 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p + i - 1, 2 = -p + 2*i. Suppose p*h = h. Let x(c) be the second derivative of c**5\/20 + c**4\/12 - c**3\/6 - 11*c**2\/2 + 255*c. What is x(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 72 = -3*y. Calculate the remainder when y is divided by 18\/(-27)*39\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0395991 minus -811178592?\nAnswer: 811178592.0395991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 581, 4525, 15255, 36173, 70681, 122181?\n\"Answer: 567*j**3 - 9*j**2 + 2*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/8)\/((-1)\/4) - (-21554)\/(-4974)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 15*m - 2 - 45*m**2 + 145*m**2 + 18 - 116*m**4 - 36*m**5 + 81*m - 60*m**3 = 0.\nAnswer: -2, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 40*f + 59. Calculate the remainder when b(-41) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2. Let o(k) = k**2 - k - 1. Let d(n) = -28*n**2 + 21*n + 21. Let h(z) = -2*d(z) - 42*o(z). Determine s(h(g)).\nAnswer: -196*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*c**4 + 0*c**4 - 4*c**4)*(-31 - 245 + 35) as g*c**2 + a*c + m*c**3 + n*c**4 + p and give n.\nAnswer: 2892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 + 12*c**2 + 8*c - 5. Let n(j) = 11*j**3 + 25*j**2 + 16*j - 9. Let z(w) = 4*n(w) - 9*y(w). What is the tens digit of z(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20752\/3 or 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 + 12*x**2 - 256*x + 240 = 0. What is x?\nAnswer: -10, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*((-2*sqrt(156) - sqrt(156))*-5)\/sqrt(12))**2.\nAnswer: 26328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 7274?\nAnswer: 7288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25 + (-2 - -3) + -4. Suppose 0 = -13*t + 17 + n. Solve -5*f - 5*j = 15, t*f + 0*j + 11 = -j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 15 = 3*g, 0 = -0*g + 4*g - q - 2097347 + 2097362 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 2110.\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.852 - 11. Let k = a + 35.948. Let z = 35.8149 - k. What is z rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5500) + sqrt(495)\/sqrt(36))\/((sqrt(3645) + -2*sqrt(3645) + sqrt(3645) - sqrt(3645))*6).\nAnswer: -7*sqrt(11)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:38 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -160, 24, 4, -0.34?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -20*p**2 + 16*p - 13. Calculate h(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2095 or 0?\nAnswer: -1\/2095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o - 18697 = -6660 - 8635 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(-2\/21)\/q)\/q)\/(q*(q*q*q**(-1\/3)*q*q)\/q*q)*q**(1\/3)*q**(-5)*((q**1*q*q)\/q)**(-13)*(q**1)**(-1\/2) assuming q is positive.\nAnswer: q**(-517\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = 5*t + 1, -2*m = -9*t - 2. Factor t*p + 0*p**2 + 0 - 1\/5*p**4 - p**3.\nAnswer: -p**3*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-252)\/(-35)*1240\/12 and 21?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2. Let k(q) = q**2 - 2. Let c(t) = 4*t**2 - 18*t**2 - 126 + 162. Let s(z) = 2*c(z) + 36*k(z). What is g(s(l))?\nAnswer: 256*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from mopomoompppmmpooomm.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 3:21 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:19 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*o + 59*o - 555 - 531 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3 = 4*a - 3*a, 5*h - 6 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/143 + 280\/429. Factor 0 - 4\/3*f**2 + 2\/3*f**3 + 0*f + v*f**4.\nAnswer: 2*f**2*(f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:19 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7267, -7271, -7277, -7285, -7295, -7307, -7321?\n\"Answer: -m**2 - m - 7265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3990)\/(-150) + (-4)\/(-10). Calculate the highest common divisor of 63 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 12. Let j be (17\/(-4))\/(o\/(-32)). Which is smaller: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 26289?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 67513 times -494\nAnswer: -33351422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33673?\nAnswer: 151, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - -16. Suppose 0 = -2*c - 3*s - 125, -3*s - 19 = c + 48. Let r = c + 82. What is the remainder when n is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b. Suppose 15 = 3*g, -3*u + g - 2 = -3. Give q(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3761 or 267016\/71?\nAnswer: 3761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/17)*m*m**17*m*m*m**(3\/2)*m*m\/(m\/m**(6\/5)*m) assuming m is positive.\nAnswer: m**(3849\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174347565*a**2*f**3 - 169623804*a*f**3 wrt a.\nAnswer: -348695130*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4\/3 - 911*z**3\/6 + 7141*z**2\/2 - 65582*z\/3 + 30170\/3 = 0?\nAnswer: 1\/2, 10, 14, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -6. Let t(i) = -3*i**2 + 2*i + 1. Let l be t(2). Let u = l + m. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 43836003\/2 - (38\/(-4) + 11). What is f rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {o: 3, s: 4, a: 1, c: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/7, 0.2, 0.9.\nAnswer: 0, 0.2, 3\/7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*y**2 + 7 - 7 + 12*y**2 + 9*y**2 + 0.\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 1 - x**3 + 0 + 8*x**3 - 62*x**2 + 62*x**2 + 3*x**3 + x**3 - 2*x**3 + x**3 + 3*x**3 - 6*x**3 + (4 - 2 - 4)*(x**2 + x**3 - x**2).\nAnswer: 5*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 966\/(-138)*(-3)\/(-42).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337764.5 millennia in centuries?\nAnswer: 3377645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*h - 67*h = -3, 0 = 2*n + 3*h + 3 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389, 1551, 3489, 6203, 9693, 13959?\nAnswer: 19001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 + 2*m + 1. Let u be l(-1). Let f be (6 - u)\/((-3)\/(-5)). Suppose 0 = 2*v - 6*v + 20. Solve 6*x - f = v*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47882 is divided by 59.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/20 + (-5)\/4. Let c(s) = s**2 - 9*s + 7. Let a be c(8). Let v(o) = 2*o**2 + 2*o + 1. Let i be v(a). Sort 2, i, t.\nAnswer: t, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**4 + 7*h**3 + 79*h - 5. Let y(g) = 3*g**3 + 39*g - 2. Let a(q) = 2*j(q) - 5*y(q). What is the second derivative of a(d) wrt d?\nAnswer: -24*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 82814355?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30890 is divided by 5080?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 37*i + 34*i + 4 - 12*i - 2*i**2 + 5*i. Let g be n(32). Let c(t) = -t**2 + 4*t + 3. Give c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/8*(9 - (13 - 656\/160)). Let n = 0.06 - 0.56. Which is the closest to 1? (a) n (b) s (c) -5 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 31*u**2 - 2.\nAnswer: -31*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. What is the second derivative of -2*g**2 + 2*g**s - 2*g**5 + 5*g**5 + 3*g wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 * 13.74\nAnswer: 1511.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31004661 from -0.78.\nAnswer: 31004660.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 3*d**2 - d + 3. Suppose -4*r = -6 - 6. Let x be g(r). Differentiate -16 - 2*m**2 + 12 + x*m**2 + 4*m**2 with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 2399833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**2\/2 - g + 247. Let h(k) = 4*k - 3. Calculate 2*h(y) - 6*q(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/32 and -149\/56808.\nAnswer: 227232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2*8\/(896\/40)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 22. Let l(k) = -k**3 - 5*k**2 - 6*k + 4. Let v be l(-3). Suppose -14 = -f + v*n, -2*n + 50 = 2*f - y. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 414 - 417. Let m(v) be the second derivative of -3*v**4\/4 - v**3\/2 - 5*v**2\/2 - 3*v. Let c(l) = -4*l**2 - l - 2. Give p*m(s) + 7*c(s).\nAnswer: -s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19 - (0 + 2) - 0. Let t(y) = -51 + 3*y + 8 + 15 + z. What are the prime factors of t(13)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-2828)\/(-140))\/(12\/140)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 494 and 4?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1229, -2458, -3687?\nAnswer: -4916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51.9 + 48. Let g = -1.9 - t. Let j(c) = -c**3 + 4*c**2 - 3*c + 3. Let w be j(3). What is the nearest to g in -0.5, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 25*n**2 - 10*n + 20. Let p be l(4). Calculate the greatest common divisor of p and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/55, -4, 1\/3, -5\/3 in decreasing order.\nAnswer: 1\/3, 1\/55, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -393*q - 1859. Is 13 a factor of f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128 - -125.08. Let l = n - -3.6. Round l to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/4 of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000249727 to 7 dps.\nAnswer: 0.0002497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/5, 2\/9, 4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 3*r**2 - 2*r - 5. Let k be t(4). Let i(a) = -2*a. Let w be i(-1). What is the nearest to 2 in k, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44397 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-1\/7)*b)\/(b*b*b\/(b*b**6)))\/((b*(b\/(b\/(b\/(b*b*b\/(b*b**(-2))))))\/b)\/((b\/(b\/b**(5\/4))*b)\/b)) assuming b is positive.\nAnswer: b**(311\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*y = -4*j - 2, -5*j - 3*y = 5. Let i be j\/(-3) - (-246)\/99 - 2. Which is the closest to -1? (a) 1\/7 (b) 0.02 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.8424 and 12?\nAnswer: -58.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b0a (base 15) to base 5.\nAnswer: -400420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/6 - (-2)\/4. Let h be 6\/(-3)*c\/8. Which is smaller: 1\/13 or h?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(1872) + -5 + sqrt(1872) + -2))**2.\nAnswer: -3456*sqrt(13) + 67968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1441 + -1018. Let f = -108 - x. Let b = -308 - f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3930629890.\nAnswer: 2, 5, 11, 661, 54059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21841 - 18489 = -2380*r + 26729 + 35281 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p**2 - 319*p - 1912. Calculate the remainder when f(-6) is divided by 178.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6252 and 5210.\nAnswer: 31260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (38\/665)\/(2 - (5 - (-11)\/(-5))). Which is the third smallest value? (a) -0.1 (b) p (c) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppzpoopopozoppppo. Give prob of picking 2 p and 1 o.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -65163?\nAnswer: 65156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42384 - 47706 = -63*z. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/436 or -1?\nAnswer: -1\/436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d - 3\/2*d**2 + 0*d**3 + 4\/5*d**5 + 0*d**4 + 3. Find the second derivative of w(k) wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 4*i**2 - 13*i - 2. Let q be j(-6). Solve g + 15 = -q*z, z - 9 = -5*g + 2*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alaaaaalllaaaa. Give prob of picking 2 a.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 469, 664?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*10\/480*30.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 13) in base 11?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*l = 0, -3*l = 2 + 13. Let k be 1 + ((-2)\/(-4) - 0). Let i = -3.1 + 3. Sort i, z, k in increasing order.\nAnswer: i, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -1316 in descending order.\nAnswer: 9, -4, -1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47930.47km to centimeters.\nAnswer: 4793047000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 14*u**2 - 18*u + 64. Let h be p(13). Sort h, 5, -32 in descending order.\nAnswer: 5, h, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 7. Suppose -6 = -2*b + l, -2 = 2*b - 3*l - 0. Let v be a(b). Let o = 26 - v. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6 = -10*n + 6*n + 3 + 51, 51*k + 2*n = -176 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 793415822 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - ((-12 - -94) + -82)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89 - 32 + 2038*v**4 - 437*v**2 + 124 wrt v?\nAnswer: 48912*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/25 and -55\/3?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*s + 192. Let p = 78 + s. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + 1111332?\nAnswer: 1111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -492 + 826. Suppose 2*w - b = -318. Calculate the least common multiple of 26 and w.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nunsjjuujjjjjjusjujj. Give prob of sequence nusn.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/10 - (-2)\/(-5). Suppose -1244*t = -1249*t + 15. Suppose -4*q - u*s + 486 = -s, 6 = -t*s. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6623 + 6623 - 4*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 8847*a + 176536. Give c(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89190?\nAnswer: 2, 3, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**4)\/f)**(8\/3))**(-1\/22) assuming f is positive.\nAnswer: f**(-16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -740267\/64 + 11566. What is the common denominator of 73\/520 and g?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3*v**2 - 2*q**3*v + 3*q*v**3 - 129892*q*v + 16305*v**3 - 4*v**2 - 5*v - 8 wrt v.\nAnswer: 4*q**3 + 18*q*v + 97830*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -1\/6*u**2 + 1\/30*u**6 + 2*u + 1\/30*u**5 + 0 - 1\/18*u**4 - 1\/6*u**3 + 1\/126*u**7. Factor k(o).\nAnswer: (o - 1)*(o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*s + s = -14, 0 = -2*s - 8. Let j be -3*((-13)\/(-6))\/(x\/(-20)). Find the third derivative of j - 10 - 9*i**2 - 3 - 28*i**6 wrt i.\nAnswer: -3360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/9*((-98)\/112)\/((-63)\/684).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*x**3 - 100*x**3 - 75*x**3 + 13*x**3 + 24 wrt x.\nAnswer: -684*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -305*k**4 + 115*k**3\/3 - 9*k**2\/2 - 2*k - 223. What is the second derivative of v(g) wrt g?\nAnswer: -7320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29746330 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 28b9?\nAnswer: -28b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 6*v**2 + 8*v + 6*v**3 + 3 - 5*v + 2*v**2. Let z be h(7). Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 12*q. Let h(d) = 3*d**2 + 7*d. Let j(z) = -z**3 + 8*z**2 - 3*z + 10. Let u be j(8). Let m(r) = r**2 + 2*r. Let n(i) = u*m(i) + 4*h(i). Give n(l(w)).\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**3 + 74*u**2*v - u*v + 4*u + 26 wrt u.\nAnswer: 18*u + 148*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u**2 + 399*u - 447. Determine m(-34).\nAnswer: 4483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3*j - 8, 2*j + 0 = -3*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044503033 to 3 dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 4, 3*o = 4*t - 26. Let y(k) = k + 11. Let j be y(o). Suppose -j*i = -4*i. Solve -p = -i*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 356. Let r be 2\/42 - (-40)\/m. What is the nearest to 1 in r, 2\/11, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02393723 rounded to four decimal places?\nAnswer: -0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2602734541 = -27*g - 178805459. What is g rounded to the nearest one million?\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*g**2 - 4*a**3 + 2*a**2*g**3 - 3*a*g**3 + 6*a*g wrt g.\nAnswer: -4*a**3 + 12*a**2*g - 18*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = -8. Let b = j - 7. What is the biggest value in 8, 1\/3, b?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0)\/(51 - (-81680)\/(-1600))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126 a factor of 81532648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -206*u**3 - u. Let c be t(1). Let h = 8 - c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 + 109080*o + 436240 = 0 for o.\nAnswer: -21812, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24040439.\nAnswer: 107, 224677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44, -92, -140, -188?\n\"Answer: -48*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*o + 517*o + 583*o + 575*o.\nAnswer: 1505*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j + 775 = -2595 + 6685 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y. Let u(o) = -10*o**2 + 8*o + o**3 + 0*o**2 + 2*o**2 - 5. Let v be u(7). Let z(d) = -2*d**2 - 5*d**2 + 2*d**2 + v*d**2. Determine q(z(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/3, 1\/8, -0.4, 8\/75?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j. Let w(z) = 23*z + 30. Let v(t) = -48*t - 50. Let k(o) = 3*v(o) + 5*w(o). Calculate k(x(d)).\nAnswer: -319*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645159 is divided by 2499?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24916 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 10:37 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1113 - 10310?\nAnswer: -11423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**5 + 0*z**5 + 0*z**5)*(-22 + 10 - 15).\nAnswer: 27*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/20*(-3 - 1). Suppose 10 = -x + d. Is x bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2871 - 998 - 2*n**2 - 898 + 0*n**2 - 975.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20486 + 20531. Suppose 3*d - 3*a = -0*d + 4170, -3*a = -d + 1380. What is the greatest common factor of d and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.1818 - 0.0318. Let f = 14 - x. Let l = f + 0.15. Which is the closest to 0.1? (a) -0.2 (b) l (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14856 take away -91.4783?\nAnswer: -14764.5217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1)*q))**(-31)*(q**(-3\/2)*q)\/q**(4\/5))\/((q\/(q**1\/q))**(-11)\/(q**2*q\/(q**(-4)*q))) assuming q is positive.\nAnswer: q**(-153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 not equal to -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 2*x + 2. Give c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.02, 1\/2, -2\/9 in descending order.\nAnswer: 4, 1\/2, -0.02, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l**2 + 119 - 242 + l + 121 in the form u*l + d + h*l**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4 - 12. Let j = h + 5. Let u be (1 - 1)*j\/6. Solve 4*c + u*c = 0, -5*x + c - 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -595*y - 6081. What is x(-10)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 14*r**2 - 2*r + 32. Let x be o(14). Suppose 5*f - 3*f = x*h + 472, 3*h - 9 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**3 - 29*k**2 - 17930*k + 89619. What is d(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:36 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 20*q - 44*q + 0.\nAnswer: -64*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r + 42*r + 34*r - 3*a = 71, -r + 896 = -39*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w, 4*i - i + 5*w = 190. Let a = i - 7. Calculate the remainder when a is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1136 in -2, 8.8, 0.21, -4?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.8 * -1370.\nAnswer: 7946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((12508\/(-16218))\/59).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 70 + 6. Let g be 117\/6 - (-15)\/(-30). Calculate the highest common factor of z and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -t - 4*t. Suppose 0 = 26*f - 27*f + 8. Put 3, t, f in increasing order.\nAnswer: 3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -672 or -2018\/3?\nAnswer: -672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from sbxitiiisssiibiiiix.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnknkynkkkykkk. What is prob of sequence yy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 711, 1423, 2135?\n\"Answer: 712*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + -3 - (1 - 5) - 9. Calculate the remainder when 178 is divided by (-32)\/i*(-45)\/(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25811 not equal to 31558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3 = 45. Suppose -3*w + l = -w. Suppose -w*z + 65 = -395. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*o - 7 = -2, d + 5*o = 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1738, 1708, 1660, 1588, 1486, 1348, 1168?\n\"Answer: -v**3 - 3*v**2 - 14*v + 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22025 - -22022. Sort -2, 3, 33, b, -4 in descending order.\nAnswer: 33, 3, -2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 7\/16361 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k - 87. Let m be t(-19). Solve m*w = 9 - 33 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080\/8568*((-12)\/(-10))\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - (-1250)\/(-15). Calculate the remainder when 55 is divided by (18\/(-54))\/(2\/r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19)*3 + 4 + 2) + 0 + ((sqrt(304))**2 + 4)*3.\nAnswer: 9*sqrt(19) + 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-66)*(-13)\/((-52)\/(-24)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27987503 is divided by 2862.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -49\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d. Suppose 4*w + v = 22, -2*w + 5*w - v - 20 = d. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11077386 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c + 4. Let z be j(-8). Suppose z = 4*s - 16. Calculate the greatest common factor of s and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4050 and 20250.\nAnswer: 20250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 43, -76 in descending order.\nAnswer: 43, 18, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.069 (b) -2\/7669 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62, -186, -310, -434, -558, -682?\n\"Answer: -124*m + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/2133 - 4271\/10665. What is the fifth biggest value in 2\/19, l, 2, 0.02, -2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**2)**(-26)\/(w\/(w**8\/w))**(-4\/3))**(12\/11) assuming w is positive.\nAnswer: w**(-1656\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -11. Let p be 2\/h + 312\/54. What is the greatest common divisor of p and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3081 = 520*h - 2639. Solve -2*b = 12*l - 9*l + h, -l = 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let p(z) = -3*z + 9. Let t(k) = -4*i(k) + p(k). What are the prime factors of t(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (105 - (21 + 40)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20848, 41686, 62524, 83362?\n\"Answer: 20838*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2353167 is divided by 34603?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let t = 132 + -124. Let m be t\/(-6) - (-4 + 2). What is the second smallest value in 3, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 2*d**2 + 4*d**2)*(-48 + 48 - 34*d**3) + (-d**3 + d**3 + 2*d**3)*(d**2 + d**2 - 3*d**2).\nAnswer: 32*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 11 - 21*k + 23 + 48*k in the form w*k + a and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -318.311, 1, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6)*z*z)\/(z\/(z*z**(-6\/7)))*z**(-1\/10)*z\/(z**6*z) assuming z is positive.\nAnswer: z**(143\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -1)*56\/42. Which is the third biggest value? (a) 0 (b) p (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 30. Suppose -k + 0*s = -2*s - n, 20 = -2*k - 4*s. Suppose -g + 4*g - 84 = k. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 300 = 7*d. Let o be 57\/6 + d\/10. Suppose 0*x = x - 88. Calculate the greatest common factor of x and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18968*y**6 - 30*y**5 + 2*y**3 - 2552369*y**2 + 2*y wrt y.\nAnswer: 2276160*y**3 - 1800*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 177\/60 - (122\/56 + (-57)\/133).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, -5, -22, -47, -80, -121?\n\"Answer: -4*z**2 + 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/13 - -45\/26. Let y = -374843\/4 - -93711. What is the nearest to y in 13, 0.3, t, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**2\/2 - 5*o - 1. Suppose -3*i + 3*f = -51, 46 = 3*i - 3*f + f. Calculate the least common multiple of l(9) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let g(p) = -3*p. Let d(z) be the first derivative of -8*z**2 - 70. Suppose -5*h + 10 = -0*h. Let a(f) = h*d(f) - 11*g(f). What is r(a(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-9)\/(t\/(t*t**19*t)) assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*n = -256*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1806 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9))**(-2)*((m**(2\/5)*m)\/m*m*m)**(-1\/6))**(-13) assuming m is positive.\nAnswer: m**(-26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*s + 104 + 1342 = -578. Solve -s*x + 28 - 12 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - 26 - -51 - 2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/6)*r)\/(r**(-1\/15)*r))\/((r\/(r**6\/r))\/(r*r**(1\/16))) assuming r is positive.\nAnswer: r**(1271\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 21*u**2 + 0*u**2 + 1.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from zzorojrobrrrjbjrox.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 5105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20072 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 0, 502 in descending order.\nAnswer: 502, 7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*a**6 + 1633*a**3 + 2049846*a**2.\nAnswer: 4560*a**3 + 9798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3927099 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 2)*(-3*l**2 + 2*l**2 - 3*l**2 + (-3 - 2*l + 3)*(5 - l - 5)) + 13*l**2 + 35*l**2 + 31*l**2 as s*l + a*l**2 + i and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -794*h + 38934. Calculate k(49).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9006, -8046, -7086, -6126?\n\"Answer: 960*t - 9966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(24\/(-204)))\/((-3)\/6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -37*u. Let m(b) = 35*b - 1. What is -4*m(s) - 5*r(s)?\nAnswer: 45*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e (base 16) to base 15.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2103 and 17562.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -112. Does 45 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6432 and 9916?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 25*b**4 - 9*b**3 - 9*b**2 - 9*b + 1. Let c(g) = 12*g**4 - 4*g**3 - 4*g**2 - 4*g + 1. Let h(t) = -9*c(t) + 4*d(t). Differentiate h(s) wrt s.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1.6, 1\/2, -2\/17, 839 in ascending order.\nAnswer: -1.6, -2\/17, 0.1, 1\/2, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 2}. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 5\/(-25))*-10. Let f be m\/3 - (-3)\/9. Solve 2*c + f - 9 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**6*m*m**3)\/(((m*m*m*m**(-1\/2)*m)\/m)\/(m**(-1)\/m)) assuming m is positive.\nAnswer: m**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1063045.24 minus 0.4?\nAnswer: -1063045.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 193 = -281 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 2*q - 2*q + 0 + 21.\nAnswer: 2*q + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118 and 13159344?\nAnswer: 776401296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180 - -155) + 2 + (1 - 4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -242970 and -242870 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 352*i + 1415. Let c be q(-4). Solve c*h = 46*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 22. Solve u = 3*c + 6, 3*o - 5*c - 1 = 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/270 and 143\/94290?\nAnswer: 848610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1383 or 657?\nAnswer: 1383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 6*n - 3. Let v be o(5). Let u = -21 - -23. Suppose -v*b + 288 = u*j - 26, 4*j - 145 = -b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllggdldg. Give prob of picking 1 g and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1851*h**4 + 2702*h**4 - 3376*h**4)*(-2 - 2 + 3 + (2 - 3 + 3)*(-2 - 2 + 6)).\nAnswer: 3531*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -16.9. Let i = 21 - m. Which is the third biggest value? (a) -1\/4 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7781*b - 350079. Calculate m(-45).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -12.6. Let w = -0.1 - -0.1. Let q = w + l. Round q to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13243*i + 4416*i + 4441*i + 4405*i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 7*y + 0*y)*(9 - 2*y**3 - 9) + 3*y**4 - 4*y**4 + 3*y**4.\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 74?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 20*d. Let f(t) be the first derivative of t**3\/3 - 13. Determine w(f(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 128. List the prime factors of (2\/(-4))\/(1\/x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, 1, -15, -5, 50, 2 in decreasing order.\nAnswer: 173, 50, 2, 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 3*m - 2*m)*(1 + 1 - 3) + 2*m - 3*m + 2*m)*(-4*m**3 + 5*m**2 - 5*m**2).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2001 (base 3) to base 13\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(684) + 1 - (-4 + sqrt(133)\/(sqrt(14)\/sqrt(2)) + (2*sqrt(190))\/sqrt(10)))*6)**2.\nAnswer: 2376*sqrt(19) + 10512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080 and 106169400.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2254947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1420*y + 13264 = 3324 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2 = -4*o + 6, 5*w - 3*o = -16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - p - 1. Let r(i) = -13*i**2 - 2*i - 3. Let c(t) = 6*t**2 + 2*t + 2. Let l(z) = -2*c(z) - r(z). Give -2*d(u) + l(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2081*b - 25 = -2*o + 2080*b, -2*b + 765 = 59*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 12. Suppose 4*d - 2*i - 114 = 0, -d + b = 2*i - 5. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122 - 0?\nAnswer: -12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 5\/4, -2868, -3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*c**2 - 2 - 2*c**3 - 2*c in the form v + k*c**3 + t*c**2 + l*c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1)*q*(q*q\/q**(-2\/15))\/q*(q*q**(2\/5))**(5\/6)*((q*q**(2\/7))**(-22))**(2\/7) assuming q is positive.\nAnswer: q**(-2833\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:28 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289\/160 - -10973\/480. Factor 25*g - k - 1\/3*g**2.\nAnswer: -(g - 74)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.282 + -0.478. Let h = 16600.2583 - 16601. Let b = h - n. What is b rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81448 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:18 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 24 + 0*z - 1\/3*z**3 + 1\/2*z**4 + 1\/5*z**5 - z**2. Factor n(g).\nAnswer: g*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*y - 2231, -3*t + 0*y - 3*y = 1677. Let o = -395 - t. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(2400) + sqrt(2400)*-2 + (sqrt(72)*-2)\/sqrt(3) + sqrt(24))\/((-2*sqrt(360))\/sqrt(5)))**2.\nAnswer: -44*sqrt(3) + 229\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28447 - 28433. Let w(t) be the first derivative of -x*t**2 + 1\/2*t**4 + 0*t**3 + 37*t + 35. What is the derivative of w(s) wrt s?\nAnswer: 6*s**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imkpc. What is prob of picking 1 k and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21912 or -21921?\nAnswer: -21912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 278*x + 7243. Calculate w(302).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-14)*(-135)\/36*(-3801)\/(-905).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -5 (c) 0.2 (d) 3\/5 (e) 2\/507 (f) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 51 = 141. Let u be (-4)\/h + (-11025004)\/(-18). Let z be (12 + 4)\/((-2)\/u). Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3204778 = 368*y + 3225754 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1031 - 12.940022.\nAnswer: -12.836922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 489\/221?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 491140 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 23?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2961*h**2 + 2*h + 67. Let q be v(9). Let o = 392756 + q. Round o to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2089, -8469, -19145, -34117, -53385, -76949?\n\"Answer: -2148*b**2 + 64*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 826583 + 16?\nAnswer: 826599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/15 - 6514*x**4\/15 + 5274494*x**3\/15 + 48314042*x**2\/15 - 256341808*x\/15 + 277335656\/15 = 0?\nAnswer: -13, 2, 1633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9 and 2598798.\nAnswer: 2598797.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**3)**3 assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.08 + 3.78. Which is the second smallest value? (a) -0.4 (b) m (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1\/8 (c) -1.2 (d) 3\/4 (e) 22 (f) 1\/19 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 9. Let x = -16 - k. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*q - 146*q = -45. Let n = q + -45. Solve 5*k + 2*i = i + 21, 3*k + 4*i - 16 = n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2333462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1216)\/24)\/((-228)\/(-117) - 2). Let d = w - 687. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccdi when four letters picked without replacement from {d: 1, c: 7, i: 5}.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -455.35 and -6?\nAnswer: 2732.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 85c07 (base 13) to base 2\nAnswer: 111010111101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s + 2*s + 5 + 3 - s. What is i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1 (b) -3 (c) 0.1 (d) 176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959744625?\nAnswer: 5, 15677957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {i: 6, b: 1, j: 1, c: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y + 2. Let s be h(7). Suppose 0*f + 4*f - s = 0. Suppose 4*c + 26*c - 9*c = 0. What is the nearest to c in -1\/3, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713325 is divided by 107.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 841.961 to the nearest integer.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.121, 5, -0.4, -1\/2 in ascending order.\nAnswer: -1\/2, -0.4, -0.121, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:31 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*b + 2 - 28, 5*b - 19 = 4*x. Calculate the least common multiple of 42\/30*(-5)\/3*x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -409 - -409. What is the nearest to -1 in 3, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/2, -0.36, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 13 + 7*b - 7*b + 8*b - 4*b + (-1 - 1 + 0)*(1 + b - 1) + 0 + b + 0 to m*b + s and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j - 1\/6*j**4 + 1\/360*j**6 + 4*j**3 + 7 + 1\/24*j**5 + 0*j**2. Let r(t) be the third derivative of f(t). Give r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v\/(v\/((v\/(v\/(v\/v**(2\/11)))*v)\/v)*v)))\/v)**(-6)\/(v\/(v\/(v**(-13)\/v))*v*v\/(v*v**8)) assuming v is positive.\nAnswer: v**(351\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -22*i**2 + 73*i + 14. Let w(x) = 7*x**2 - 24*x - 4. Let o(v) = -2*n(v) - 7*w(v). Let m(f) = f. Determine m(o(h)).\nAnswer: -5*h**2 + 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 - 133433956*b**2 + 48236*b + 1016.\nAnswer: -24*b**2 - 266867912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 80. Let r be o(-18). Calculate the least common multiple of 66 and (1\/(-2))\/((14\/r)\/7).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6683\/6 + 1121. Suppose 3 = 3*a - 6*a. Find the common denominator of r and a\/3 - (-602)\/(-147).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 31, -2\/11, -3\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40265694*c*n*w - 5*c*w + 12871260*w wrt n?\nAnswer: -40265694*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbbztzhbtbhwzz. What is prob of sequence tbhw?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122 + (-2 + -64 - -13).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2\/15*v**3 + 98\/5*v - 14\/5*v**2 - 3. Factor m(l).\nAnswer: 2*(l - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + y - 10. Let u be -1 - (-3 - (-2 - y)). Sort u, 0, 5 in descending order.\nAnswer: 5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2.5. Let k = -3 - t. Let f = k + 0. Which is the biggest value? (a) -1 (b) -3\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 10.7 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.7644072 milliseconds?\nAnswer: 0.000001879002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, -2\/9, 6, 3928?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24926 - 24929. Which is the nearest to -0.1? (a) -2\/157 (b) i (c) -0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p**5 - 23212*p**4 - 1380236*p**3 - 1648312*p**2 + 2376160*p + 675584 = 0. Calculate p.\nAnswer: -56, -2, -1\/4, 1, 1508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 10*t - 12. Determine n(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {a: 1, p: 2, l: 6, w: 4, m: 1, x: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 37\/5 (b) -0.039 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 less than or equal to -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 20. Let x be ((-8)\/(-30))\/(4\/j). Which is the closest to 1? (a) 3\/5 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a. Let x = 88 + -92. What is the lowest common multiple of (4\/(-5))\/(2\/(-50)) and b(x)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 507507462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1262*w + 5237 + 21655 + 16016 = 0 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-43 - -35) - -13) + (-35 - 0)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -1\/8*w**3 + w + 0 - 1\/8*w**2 - 1\/48*w**4 + 3\/80*w**5 + 1\/60*w**6. Factor k(g).\nAnswer: (g - 1)*(g + 1)**2*(2*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*i + 1340 - 1340)*(-i + 6*i - 3*i).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 10. Let u be ((-1)\/2 + w)*(-11 - -5). Suppose v + 24 = -u*v - 3*a, -2*a - 6 = v. Which is smaller: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 953999882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) - 4*(sqrt(77) + -4*sqrt(77))))\/((sqrt(343)*4 - sqrt(343))*1) + 1.\nAnswer: 1 + 26*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*r**3\/2 + 1259*r**2\/2 + 282*r - 342.\nAnswer: (r + 1)*(r + 114)*(11*r - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/6 + 5*t**4\/3 + 2*t**3 - 71*t**2\/3 - 445*t\/6 - 50 = 0.\nAnswer: -5, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 43*i**2 - 11*i - 17. Let p(n) = 85*n**2 - 21*n - 31. Determine 6*p(s) - 11*u(s).\nAnswer: 37*s**2 - 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0123 - -0.5143. Let u = q - 0.002. Which is the second biggest value? (a) -20\/13 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/7)*j)**45\/(j**2)**(-2\/5) assuming j is positive.\nAnswer: j**(4078\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 50 = -16*s. Solve -a + s*a - 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -1917?\nAnswer: -1920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53705471549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 150 - 13*r - 150 + (-1 - 3*r + 1)*(8 - 1 - 4).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o - 30. Let s be (o\/(-117))\/(11\/33). Put s, 3\/8, 0.3, 0.4 in descending order.\nAnswer: 0.4, 3\/8, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + ((4*(2 + sqrt(325)))**2 - (-1 + (-1*sqrt(325))**2)) + -5).\nAnswer: 960*sqrt(13) + 14790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -461, -24, 2\/5, -2\/7, 4 in decreasing order.\nAnswer: 4, 2\/5, -2\/7, -24, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 - 57*h**2 + 23*h + 441. Calculate s(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(175) + -1)**2*-2 + (0 + (sqrt(175) - (1 + sqrt(175))*-2))**2 + -3.\nAnswer: 20*sqrt(7) + 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 2. Let a(l) = 2*l - 5. Let w(x) = 6*a(x) - 15*j(x). Let f(t) = -2*t - 3. Let b(o) = -4*o - 5. Let c(k) = -3*b(k) + 5*f(k). Calculate c(w(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220101 (base 3) to base 11.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 6\/13, 3, -0.3148, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-5118198.\nAnswer: -25590990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/6)*t)\/t**(-2\/9))**(2\/27)*(t**1)**4*(t\/(t\/t**(-1)*t))**(4\/19) assuming t is positive.\nAnswer: t**(16999\/4617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40)*(-192)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 3\/5 (c) -36 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82945393 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5023.08 months?\nAnswer: 418.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - 35. Let z = o - -37. Put -1, z, -3\/2 in increasing order.\nAnswer: z, -3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828 and 400552728?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 26.\nAnswer: 1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -487*b**2 - 163*b**2 + 25*b**2 + 1 to the form i + w*b + m*b**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10 - (-82)\/(-4). Let d be 12\/u + (-27)\/5. Let s be (-584)\/(-14) - d\/21. What is the greatest common divisor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 11. Let w be c(11). Let z = w + 27. What is the tens digit of ((-355)\/z + 3)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008 is divided by 331.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 661319 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 864 = -0*k. What is the units digit of (k\/(-15))\/3*20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08256822 + -0.08252. Round b to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*b - 2*f + 6 = -248*b, 5*f = 4*b + 9. Let r = 4038 - 52578\/13. Is r at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4496 and 108786902.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10251 and 2520607.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 10. Suppose -144 = -n*u - 39. What is the highest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.359188782 rounded to three dps?\nAnswer: -0.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {g: 1, l: 2, f: 2, w: 3, p: 9, e: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2908875.499958 + 2908880. Let n = -11 - -6.5. Let t = n + x. What is t rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 109, -270, -903, -1790, -2931, -4326?\n\"Answer: -127*t**2 + 2*t + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -17*j**2 + 2*j + 2. Let b(i) = -798*i**2 + 95*i + 95. Calculate -2*b(m) + 95*q(m).\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891154861 is divided by 2249?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*n + 31 = 0, 0*b + 3*n = 3*b - 27. Let q = 22 - b. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131.9 - -573.\nAnswer: 704.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 6. Let j be (2*1)\/((-2)\/n). Let b(v) = -3*v - 1. Let f(a) = -a. Let p(x) = -3*b(x) + 8*f(x). What is p(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13931003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 188?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**2 - 169*f + 55. What is the remainder when j(-22) is divided by 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429*3.\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*a = -n - 1, -69 = -5*n - 4*a. Let h = 22 - n. Solve -h*p + 0 - 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 333, -1 in ascending order.\nAnswer: -23, -1, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z + 227. What is u(-30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01611007559 to four dps.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 20. Let a be k(0). Let n be (-22)\/(-28) + (-10)\/a. Is n less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47775216 by -15888.\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 145989439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 614.56 to the nearest 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 1664?\nAnswer: 24960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x + 2*s, 4*x = -s + 3*s + 26. Suppose 0 = -4*r + 2*b + 6, 2*b + 2*b - 4 = 0. Find the third derivative of -2 - 2*p**r - 4*p**x + p**2 + 2 wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70974681 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080402807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p + 14 - 213 - 273 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 a, and 1 k when four letters picked without replacement from {z: 2, k: 2, r: 1, a: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 17 - 7 - (-6 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -236288*c - 66059?\nAnswer: -236288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133042 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66.2 + 66.199998693. Round r to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 9*t - 2. Suppose 5*s + 43 - 3 = 0. What are the prime factors of i(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 - c**2 + 7016*c - 6 - 3505*c - 49*c**4 - 3508*c + c**3 to the form p*c**3 + d*c**2 + t*c + h + j*c**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 26. Suppose n = 5*a + 4*b - 162, a - 70 = -a + b. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1817 = -578. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*w = -6, 0*y = 3*y + 3*w - 6. Suppose y*v - 14800 = -v. What is v rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 54 = 5*l. Let j = 7 - l. Is 1*(j - (-3 + 1)) - -320 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008795 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -13*n**4\/4 + n**3\/3 + n**2 + 2*n + 7. Let u = 14 + -8. What is the smallest common multiple of y(-1) and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i - 5*q = 76*i - 15, 3*i + 17 = q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16754 in -1\/5, 3\/2, 3, 0.2, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y**3 - 3*y**2 - 6*y - 6. Suppose 4*f = -6*l + 3*l - 14, 0 = -5*f + 4*l - 2. Let b be h(f). Let j = -121 - b. Solve 2*z = -j - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212113031\/159 - 1334049. Let r = -6\/53 - s. Factor 49\/3 - r*o + 1\/3*o**2.\nAnswer: (o - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003663687347 rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 8\/((-6)\/(-3)). Suppose 4 = p, -d*l + p - 3668 = -6*l. Let u = l - 593. Is u a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 339 or 341?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55693?\nAnswer: 11, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-3) + -2 + 12\/4. Suppose -2*b - 138 = b. Let v be b\/(-14) - 2\/7. Solve -v*c + r = -1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4970, 15035, 31804, 55271, 85430?\nAnswer: 122275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let t(i) be the second derivative of i**5\/20 - 3*i**4\/4 - 3*i**3\/2 - 11*i**2\/2 - 5*i. Let o be t(10). Is o at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 57*n + 30. Let z be c(-28). Let m(x) = x - 2. Let s(j) = -j. Give z*s(i) + m(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 14*c**2 - 5*c + 14. Let g be v(-15). Put -1, 5, g in decreasing order.\nAnswer: g, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 68273*l**2 - 34139*l**2 - 34141*l**2. Let c(q) = -170*q**2. Give n(c(h)).\nAnswer: -202300*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -k + 6*k. Sort 1, -4, k in decreasing order.\nAnswer: 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/3 - 7*j**3\/3 + 63*j**2. Let h be y(-2). Solve -h*l + 5*r - 4 = 0, -3*l - 3 - 3 = -3*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/20565 and 42\/230785.\nAnswer: 2077065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12031 - 1?\nAnswer: -12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4389*f*x**3 - 26*f*x + 6*x**3 + 9*x**2 + 2*x + 483 wrt f?\nAnswer: -4389*x**3 - 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15215975\/539 + -28230. Let s = -32899\/2156 + m. Calculate the common denominator of (15\/20)\/((-9)\/(-122)) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*y + 52 - 13*y - 49)*(3 - y - 1 + 41*y**2 - 40*y**2).\nAnswer: -70*y**3 + 73*y**2 - 143*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 7*t + 7. Let x be f(-8). Let w be x - -2 - (-2 + 2). Suppose 4 = i + w. Solve -18 = 3*q + j, 0 = 4*q - j + i*j + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by 4\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5*16\/120)\/2)\/((-4)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 67 - (1233 + -1201)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28364 divided by 14.\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1880*a**2 - 66487*a + 66487*a - 103.\nAnswer: -1880*a**2 - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 17*f**2 + 17*f - 19. Let d be r(-18). Let p be (-4)\/d + (6 - 1). Suppose p*y = 10*y - 39. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*w**3*z - 3*w**3 - w**2 - 7*w*z + 5*z wrt w?\nAnswer: 48*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = -10. Let p = s - -11. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*t**2*w**2 - 2*t**2 - 3*w**2 - 33*w + 3 wrt w?\nAnswer: -38*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((57 - 0) + 32 - (-2 - 10)) + 9 + -6.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 17550036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8926842 or -8926843?\nAnswer: -8926843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18286458947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 - 53 = 0. Let i be 18\/45*(-3 - 86\/(-2)). Suppose i*v = s*v. Solve 6*b - 3*b = v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 29. Let h = 2283 - 2246. Put 1\/3, h, k in descending order.\nAnswer: h, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 + 281.2. Sort -17, -2\/11, 2\/7, f in descending order.\nAnswer: 2\/7, f, -2\/11, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**38)**2\/(a**(4\/35)*((a**(-41)*a)\/a)\/a) assuming a is positive.\nAnswer: a**(4126\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -1\/3 (b) 1 (c) -1\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5763 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3\/4, -2\/15, -0.17, -8 in decreasing order.\nAnswer: 1\/6, -2\/15, -0.17, -3\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**6\/45 - 913*z**5\/30 - z**4\/6 + 2737*z**3\/9 + 1826*z**2\/3 + 6637*z. Find y, given that a(y) = 0.\nAnswer: -1, 2, 913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -2*u**2 + 0*u**3 - 1\/12*u**4 + 0 + 0*u. Let k(t) = t. Determine o(k(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41201, -164816, -370841, -659276, -1030121, -1483376?\n\"Answer: -41205*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -52066 (c) 35\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-90)*5*897\/(-1). Suppose z = 7*t - 177. What is the greatest common divisor of 102 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4\/7 - 4*j**3\/7 + 88*j**2\/7 + 160*j\/7.\nAnswer: -4*j*(j - 5)*(j + 2)*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 231 = -64*d. Let h(i) be the second derivative of 0*i**2 + 0 - 11*i + 2\/3*i**d + 0*i**4 + 1\/20*i**5. Find the second derivative of h(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*l**3*n**2*t**2 + 2*l**3*n**2*t - l**3*n*t + 2*l*n - 3*n*t**2 + 1 wrt n.\nAnswer: 406*l**3*t**2 + 4*l**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -173, -4, -815.\nAnswer: -815, -173, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5814 and 204408?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/3 - 22*a**4\/3 + 28*a**3 - 36*a**2 - 18*a + 54.\nAnswer: 2*(a - 3)**4*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 5 + 6)*(-1 + 0 - 1)*(-12 + 12 + c) in the form d*c + t and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 5*w - 180 = 0. Let z = -933 - -938. Which is the nearest to w? (a) -1\/3 (b) z (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 3 + 3*o)*(66 - 66 - 32*o**4) - 4*o**5 + 2*o**5 + o**5.\nAnswer: -97*o**5 - 96*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from lkkkkkklkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.108, 3\/8, 3\/4 in increasing order.\nAnswer: -0.108, 0.2, 3\/8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 4. Let j = 19 + s. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96376 + -18022373\/187. Let h = -4\/17 - x. Which is the third smallest value? (a) 3\/4 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2124.7 - 2125. What is the closest to -1 in j, -0.07, -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12719114249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 3*l**2 + 0*l + 0*l**3 + 0 + 1\/4*l**4. Let v(b) = 2*b. Determine u(v(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 5\/(15\/(-9)). Let q be z\/(-3) - (-6)\/(-9). Let d be -6*q\/(-2)*-2. Is d > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2418 and 6755086?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let y = 5 - 3. Let t(p) = 3*p + y*p + 0*p - 6*p. What is m(t(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -161 + 157?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + (3070 - -9) - 12 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -254*v + 22757 + 239879. What is the least common multiple of v and 2538?\nAnswer: 27918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:29 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 6323915 - 3*s + 3*s + 6323907 - 12647820.\nAnswer: 9*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - 4) + (-1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-51)\/(-18)*(0 + 6). Suppose 432 = f*o - 1081. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 2*t + 87788 = 12*k, 4*k - 175572 = 2*t. What are the prime factors of k?\nAnswer: 2, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39188 and 203.\nAnswer: 7955164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 24*t**2 + 4. Determine j(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 74. Let v = -33 + l. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209 divided by -4\nAnswer: -209\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -53, -63?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 114*q**2 - 95*q - 1962. Let r be o(113). Let k be 28\/3 - (-1)\/(-3). What is the greatest common divisor of r and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -480669\/104 - -4622. Find the common denominator of h and -75\/4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3085\/20 - 3\/(12 + 0). Suppose -f - 6*f + l = 0. Calculate the smallest common multiple of 20 and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + (-1 - (8 + -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1330830 and 909162?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4 - 56*h**3 - 62*h**2 + 288*h - 171 = 0.\nAnswer: -3, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -229. Suppose 10*w - 268 = 222. Let x = w + -36. What is the highest common factor of y and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 17.885?\nAnswer: 17.885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15150, -181 in decreasing order.\nAnswer: 15150, -1, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/9, -81\/7 in increasing order.\nAnswer: -81\/7, -2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2310*w = -2315*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -98.4049338?\nAnswer: -98.4049338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43121330 a multiple of 985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 6*y + 48 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 601924 divided by -150481?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 50\/5 - -9. Let j be (8\/(-60)*-5)\/(4\/1014). Let r = j + 0. Calculate the greatest common factor of r and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-28))\/((-1)\/12). Is (-1 + j - 1) + 256 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 57, -3, -5, -6 in descending order.\nAnswer: 57, -3, -5, -6, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 - 4*b**2 - 5*b - 4. Let p(q) = -4*q**3 - 5*q**2 - 6*q - 4. Let r(m) = -58*m + 1272. Let o be r(22). Give o*p(c) + 5*j(c).\nAnswer: -4*c**3 - c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9314, -18646, -27978?\n\"Answer: -9332*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 539 - -8?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -11. Suppose 2*s = 12*a - 13*a - 5, 5*a = 4*s - 25. What is the closest to s in -0.3, u, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-2 + (-24)\/(-18)). What is the remainder when 103 is divided by -21*1*(-30)\/j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1221, 4, -68 in descending order.\nAnswer: 5, 4, -3, -68, -1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -90, -287, -584, -981?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, 2\/9, 0.3, 6.7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 1. Let v be x(2). Let o(j) = 1. Let f(d) = d**2 + 1. Suppose -5*y + 7 = 17. Determine v*f(p) + y*o(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 342194, 342255, 342316, 342377, 342438, 342499?\n\"Answer: 61*f + 342133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1509935126 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6360925.776 - 6257708.5. Let f = 103221.27599945 - t. Let z = 4 - f. What is z rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0, 1\/2, -1919?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/190 and 47\/890?\nAnswer: 16910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - ((-86 - -68) + (0 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*w*z**4 + 34867102*l*w*z**3 - 29*l*z**2 + 8*l*z + 817*l - 2*w*z**2 - 3*w + 2*z**2 - 2*z wrt z?\nAnswer: -24*l*w*z + 209202612*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*k - 2*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1080559*l**4 - 794*l**2 + l - 686 wrt l.\nAnswer: -25933416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.4 <= -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4166 + -4149. Solve 4*r - x = -c, 13 - 3 = -5*r + 5*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1232\/220 + 6\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1635 + 540 + 544 + 18310*a + 545.\nAnswer: 18310*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - o - 1. Let s be w(-1). Let u = -42909 - -42906. Which is the second biggest value? (a) u (b) 0.2 (c) s (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11171?\nAnswer: 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-136)\/(-12))\/(2\/6). Let u = a - 19. Is (10\/u)\/((-4)\/(-1338)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13993, 14662, 16233, 19156, 23881, 30858, 40537?\n\"Answer: 75*j**3 + j**2 + 141*j + 13776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 169623 divided by 141?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k + 5 = 64*k + u, -3*k - 2*u = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 6*d + 10 = 4*r, 2*r = 4*d + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k = -88 + 448 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 less than 316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -33, 1 in ascending order.\nAnswer: -33, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -8 (b) -7 (c) -1\/3 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 9. Let i = o + 4.99999925. Round i to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*g + 1888 = 23*g. Solve g*y - 16 = 12*a - 8*a, y = 2*a + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 4 + 6)*(-1 + 5 + 12) + 0 + 0 - 1)*(0*q**2 - 2*q**2 + 0*q**2 + (-2*q**2 + 2*q - 2*q)*(8 - 4 - 2)) as z*q + j + f*q**2 and give f.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 184*t - 5 = -5. Which is the nearest to 0? (a) 3\/11 (b) t (c) 2 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*l = -6, -4*b + 22 = l - 6*l. Suppose -245 = -5*k - 5*s + 20, b*k - 167 = s. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - 3*k**2 + 4*k**2 + (4 - 3 + 0)*(k + 2*k**2 - k) + 4*k - 4*k + 2*k**2 - 3*k + 3*k + k**2 + (k - 3*k + 0*k)*(2*k + 0*k - k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2264, -9009, -20234, -35939, -56124, -80789?\nAnswer: -109934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/2355 and 17\/912013.\nAnswer: 13680195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*x = -641*x - 3950 - 3550 for x.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -219 + 222. Sort 25, -3, p, 5 in descending order.\nAnswer: 25, 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28906 bigger than 28907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = 8. Calculate the common denominator of 3 + w\/(-3) - 376\/264 and -133\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, v: 2}. Give prob of picking 1 v and 2 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -17\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(33) + (sqrt(1617) - sqrt(1617)*1 - sqrt(1617)))\/sqrt(11))**2.\nAnswer: -60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2922 by 6.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 123616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -307*v**4 - 57*v**3 + 70*v**3 - 2*v**2 + 13*v + 305*v**4 in the form n*v**2 + w*v + t + m*v**3 + q*v**4 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 374585000 to the nearest 1000000.\nAnswer: 375000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5601 and 294.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(637) + 0 + 4 - (2 + sqrt(637) + 0) - ((sqrt(325)*1 - sqrt(325) - sqrt(325))*-6 + (3*(sqrt(325) + 0) - sqrt(325))))**2.\nAnswer: -160*sqrt(13) + 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70.7896 - -0.0896. Let t = a + 71. What is the fourth biggest value in -0.2, 1\/2, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3962088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 13. Let s = r + -10.964. What is s rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 50224 = 50*p - 47*p, -2*p = -4*r - 33484. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**6\/120 + r**5\/60 - r**2 - r. Let j(c) be the first derivative of x(c). Find the third derivative of j(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*8\/(-36)*6\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 351\/182 - (-6)\/84. Solve -k = -3*a + 5*a, 7 = -f - 5*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 2, o: 7, q: 1, a: 1, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 209473 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 317.4883 meters?\nAnswer: 0.3174883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/7)\/x)\/(x*x**(11\/2)\/x*x))**35*(x\/(x*x*x\/(x*x**7))*x)\/(x**5\/x)*x**(-4)\/x*x*x*x**(-1\/2)*x assuming x is positive.\nAnswer: x**(-247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 35 = -3*q, -q + 97 = -3*n - 0*q. Let y = n + 36. Suppose -y*j + 56 - 8 = 0. Solve 0*v - 3*v - j = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -28*x**2 + 11*x**2 - 11*x**2 - 5*x**2 + 1. Let r(c) = 2*c**2 + 7*c - 7. Let g(v) = v**2 + 3*v - 3. Let b(n) = -7*g(n) + 3*r(n). Give b(m(f)).\nAnswer: -1089*f**4 + 66*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 + 141*s**2\/4 + 487*s - 10488.\nAnswer: -(s - 152)*(s - 12)*(s + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -30?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:52 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/7, 89, -3\/13, 1\/7.\nAnswer: -3\/13, 1\/7, 2\/7, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**3 + 0 + 0)*(-3 + 5 - 4) - 4*s + 4*s - s**3)*(2 - 2 - 5*s).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -78*z**7\/7 + 145*z**4\/12 - 4*z + 4. Find the third derivative of m(t) wrt t.\nAnswer: -28080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + 2 - (17 + -13 - 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 41. Let t = -2 + q. Calculate the remainder when 26 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37ba (base 16) to base 7.\nAnswer: 56410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**7\/21 + 12*g**6 + 810*g**5 + 2*g - 29. Find d such that p(d) = 0.\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:21 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 51*s**3 - 19. Let u(t) = -26*t**3 + 9. What is 6*j(f) + 13*u(f)?\nAnswer: -32*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -4\/5, 16, 0.33, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 686 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5201975 is divided by 2313.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.68 and 0.5?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 1.1661.\nAnswer: -3.8339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25559 + 25439 = -8*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 23 = -3. Let l(d) = d**2 - 3*d + 4. Let g be l(s). Solve 3*t + 3*u - u = g, 0 = 3*u - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25141 = 18134*g + 405955 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1073*n**2 + n + 3196*n**2 - 1097*n**2 - 1060*n**2.\nAnswer: -34*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38319 + -32339. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12595655 divided by -3\nAnswer: -12595655\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 700, -15, -0.04?\nAnswer: 700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 0, -6*u + 4*b + 13 = -8*u - 3 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.2. Suppose 9*c = -4*c. What is the third biggest value in c, 1\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1247 + 1751. Calculate the remainder when u is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/8)*g)\/(g\/(g**(6\/7)*g)*g))\/(g**(-2)\/g*(g**(-1\/8)\/g)\/g)*((((g\/g**1*g)\/g)\/g)**(-2\/9))**(-8) assuming g is positive.\nAnswer: g**(577\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -15\/2*z**2 + 6*z + 6 - 7*z**3. Factor r(m).\nAnswer: -3*(m + 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-793 + 794)*(-8)\/26.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*s - 15*a - 27*s + 3 wrt a.\nAnswer: s - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/120 - v**5\/60 + v**4\/24 - 2*v**2. Suppose -t + 0 = -1. Let u be (-2)\/(1 + (-2)\/t). Determine y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {g: 3, l: 1, s: 2, f: 4, p: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 31587355\/91 and 347115 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1467 and 265157968.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.076 - -0.076. Let f = -18 + 18.2. Let t = f - 0.1. Which is the closest to t? (a) n (b) 0.2 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l**2 + 3*l**2 + 2*l**2)*(6 - 2 - 3) - 154*l**2 + 79*l**2 - 41*l**2)*(-4 + 3 - 1).\nAnswer: 228*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4671261, 9342531, 14013801, 18685071, 23356341, 28027611?\nAnswer: 32698881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 9:58 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in 1\/4, -2\/35, 2\/15, 0.1?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 0*v + v - 7)*(5*v - 5*v - 2*v)*((-3 + 3 - 4)*(0*v + v + 0*v) + 0 - v + 0) - 2*v**3 - 2*v**3 + 5*v**3.\nAnswer: 11*v**3 + 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 55008*t - 770111. What is b(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 53*p**2 + 185*p + 1016. What is m(-56)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.55 + -0.15. Let w = y + -0.1. Let q = 1.2 + w. Sort 2, -2\/5, q.\nAnswer: -2\/5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:21 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 16 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8562268 nanograms in kilograms?\nAnswer: 0.0000000000008562268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*236\/3717*(-315)\/(-200)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -7 - (4 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38 - 21 + 73 + 10*z**4 wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 7*m**2 - 5*m + 3. Let g be j(6). Let n be (-24)\/(-18)*g\/6. Solve 2 = n*z - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + -1 + (-5953 - -5909)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 34 + 34. Let s be (3 + 0 - r)*(-37)\/(-999). Determine z so that 1\/9*z**2 - s*z + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12649 or -12504?\nAnswer: -12504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -116, -253, -448, -695, -988, -1321, -1688?\n\"Answer: c**3 - 35*c**2 - 39*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/5, 0, -4\/9, 2, -5 in increasing order.\nAnswer: -5, -4\/9, 0, 2, 16\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2472*w - 9894. Calculate k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -94, -83, -72, -61, -50, -39?\n\"Answer: 11*q - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26286 at most as big as -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14546 or 72731\/5?\nAnswer: 72731\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117110677 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4060\/(-3))\/((-80)\/360).\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 4*l = 4*g + 4, -2 = l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 2369.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*d, 9*a - 3*d = 8*a - 4 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 726189 and 1020?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.28 (b) -1 (c) -275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -607 + 607. Let i(y) be the second derivative of -2*y + 0*y**3 + l*y**2 - 1\/3*y**4 + 0. Let m(n) = -2*n. Calculate i(m(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 a when four letters picked without replacement from {a: 2, b: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 3, i: 1, j: 1, z: 6, y: 2}. What is prob of picking 1 w and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.175801 to two dps.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 3160 and -0.08353780609.\nAnswer: 3159.91646219391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**2. Let j(a) = -3*a + 6 - 3*a**2 - 2*a**2 + 14*a**2 + a**3. Let h be j(-9). Let t(f) = -17 - 4*f - 16 + h. Give p(t(z)).\nAnswer: 112*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 43 - 18, 0 = -5*c + 3*m - 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4701, -9462, -14207, -18930, -23625, -28286, -32907?\n\"Answer: u**3 + 2*u**2 - 4774*u + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4111.79838 - 4112. Let q = -46 - -46.2. Let x = f + q. Round x to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/24990299 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 2*r + 3. Let f(a) = 2*a**2 - 5*a - 7. Calculate -6*f(x) - 14*n(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 2. Let z(v) = -6*v + 9. Let s(k) = -11*c(k) + 2*z(k). Let j be s(-6). Find the second derivative of 4*u**4 + j*u - 2*u + 4*u wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10684071720 to the nearest 1000000.\nAnswer: -10684000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 81160\nAnswer: 324640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 - 2*k**2 - 2*k. Let o(h) = 6*h**2 - 156*h + 6. Let v be o(26). Let i(w) = 41*w**3 - 17*w**2 - 17*w. Give v*i(d) - 51*b(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 8*n - 128. Let y = 72 - n. Suppose 5*l - y = 25. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.4 - -0.6. Let h = 384 + -379. Which is the fourth biggest value? (a) -1\/4 (b) -1 (c) z (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 56.02853 micrometers?\nAnswer: 0.00005602853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14350\/28*(0 - (-12)\/10). Calculate the greatest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1590059 and -10629504?\nAnswer: 9039445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/4*-3*(-2)\/66\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((66\/(-77))\/(4\/(-7)))\/12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2299535684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48572.568ns in hours?\nAnswer: 0.00000001349238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b - 5. Let l(x) = 13*x + 8. Suppose -38*p + 56 = -36*p. Let v(n) = -n**3 + 26*n**2 + 58*n - 51. Let o be v(p). Give o*l(g) + 8*t(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2615 - 733 = 12*t. Let v = 7 - t. What are the prime factors of v?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 2, 5.\nAnswer: -34, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2)*i)**(3\/5)*i\/(i*i\/(i**2*i))*i**4 assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1256 and 14?\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 10*j - 6. Let i be 12 + -3 + 0 + 0. Let s be x(i). Suppose 46 = s*c + 5*q, -5*c + 2*q + 146 - 28 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2 + (-176)\/(-272). Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let j be (5\/(-45))\/(5\/45). Let u(o) be the third derivative of -o**4\/24 - 2*o**2. What is j*d(q) + 4*u(q)?\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = 5*k - 13, 0 = 4*f - 2*k - 26. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1099015065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -33. Calculate the lowest common multiple of 8 and (2 + -1)*(-30)\/(a\/2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 3*j + 2*j + 3. Let i be q(3). Let v(a) = -a**2 + 5*a. Let f be v(5). Solve 2*c + 5*x = 3*c + 25, 3*c - 3*x + i = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 10422.\nAnswer: -10421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(48\/(-8))\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83.9 + -78.9. Let l = -0.12 + -0.38. Let z be (-2)\/8 + 38\/(-40). Put 4, n, z, l in descending order.\nAnswer: n, 4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 6. Let u be h(-6). Let i be ((u - 0)*-1)\/(-3). What is the remainder when i - -3*56\/6 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815248.\nAnswer: 2, 7, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 2*w**2 + 9*w - 6. Suppose 4*h = -12, 6*d = 2*d + 3*h + 61. Let l = d - 9. Let j be s(l). Is j at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -3 + 1\/40*n**4 - 3\/100*n**5 + 3*n**2 - 1\/50*n**6 + 0*n + 0*n**3. Let a(u) be the second derivative of x(u). Factor a(w).\nAnswer: -3*w*(w + 1)*(4*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 2:15 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 555*f + 6*f + 65912*f**3 - 770*f**2 - 65913*f**3 + 106*f wrt f.\nAnswer: -6*f - 1540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 1.02, 1\/3.\nAnswer: 0.07, 1\/3, 1.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:50 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3347268)\/528516*6\/(-8)*(1 + (-5)\/1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*k**3 - 85 + 12*k**2 + 85 + 10*k**3 wrt k?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10310*n - 20626*n + 10317*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-29*q - 14*q - q).\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -21. Suppose -4*s = -3*w + 27, -4*w = -0*w + s - 36. Let p = w - -3. Calculate the remainder when y is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.3537871 and -921006.\nAnswer: -921010.3537871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = 12. Is 2\/(-4) + 174\/t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-10)\/315*-9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 7, 1 in ascending order.\nAnswer: 1, 7, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488053*v - 488058*v - 2*b = -140, 3*v - b - 95 = 0 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 37*t + 109. Calculate m(8).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t + 10557 = 10727. Which is the third biggest value? (a) 0.4 (b) -10 (c) 2 (d) -4 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 2 + 0 - 7*p**2 + 5*p**3.\nAnswer: 5*p**3 - 9*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 5.6. Suppose 3 + 1 = -4*z. Is k >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835782?\nAnswer: 2, 3, 139297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 25, -1, -1\/4, -3, -6\/47, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11198 or 11202?\nAnswer: 11202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 1 - (22 + (21 - 24)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3130837 and 1244.\nAnswer: 12523348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/8*(-916)\/3435.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4507075445?\nAnswer: 5, 17, 53024417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 23. Let y be h(-11). What is the hundreds digit of y\/((-3)\/(-15)*(-10)\/(-222))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37046 and -19.\nAnswer: 703874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a factor of 147634493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207819501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.17 from 0.32028.\nAnswer: 0.49028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -125455 and -0.4.\nAnswer: -125455.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 - -7 - 8\/(-2). Suppose -q*t + 18*t = -2471. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1545 + -16993\/11. What is the nearest to 0 in -0.2, k, -30, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*d + 24 = 0, 0*l + 3*l - d = -6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/3 - (-16)\/(-12). Solve -y + 2 = -2*y + m*f, 4*f + 2 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589.4739 nanoseconds to hours.\nAnswer: 0.00000000016374275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*j + 576 - 129, 3*l = -3*j + 447. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = 4*z, -2*z + 0*z + 3*h - 1 = 0. Let c = -441\/16 + 5123\/176. What is the common denominator of c and (-1)\/(48\/(-27) + z)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010100101111001111010 (base 2) in base 11?\nAnswer: 3a31465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140190.5 milliseconds in minutes?\nAnswer: 19.003175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -100296*u**3 - 9*u**2 + 24*u - 44. Let m be h(2). What is m rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15622223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 r when four letters picked without replacement from rbbrrbbbrrbb.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1371, -1368, -1365?\nAnswer: -1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10251762, 20503518, 30755274, 41007030, 51258786?\n\"Answer: 10251756*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udu when three letters picked without replacement from {d: 2, e: 3, z: 1, u: 2, s: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137\/2 - -70. Let s = 0.03 - -14.97. Let t = s + -15. Put b, 3, t in increasing order.\nAnswer: t, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49476920 divided by -9080.\nAnswer: 5449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**7\/840 + f**6\/60 - f**5\/60 + f**4\/8 + 23*f**3\/6 - 15*f**2. Let x(y) be the first derivative of v(y). Determine x(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - v + 231, v - 5 = 2*v. Let d be (-2)\/(2*(-3)\/2775). Let y = d - s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20612228 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 389 and 0.161.\nAnswer: 62.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11688\/16*(7 - 7\/3).\nAnswer: 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 1. Let h = v - 5.96. Let j = h - -0.06. Which is the smallest value? (a) -0.2 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*r + 51. Let v be (-33)\/(-7) + 6\/r. Suppose v*s + 2*q - 243 = 0, 0*s + 43 = s - q. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 47*u - 312. Calculate the least common multiple of o(-6) and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83176501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -461772713, -923545422, -1385318131?\n\"Answer: -461772709*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 923, 965, 1001, 1031, 1055?\n\"Answer: -3*q**2 + 51*q + 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309087\/32 - -9659. Which is the nearest to 0.5? (a) r (b) 0 (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(((-296)\/(-16) - 7) + -12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -32, -65, -120, -203, -320, -477, -680?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -28800.42?\nAnswer: 57600.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57972?\nAnswer: 2, 3, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {j: 5, t: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -3 - (-18)\/(-22) - 16936\/(-22) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 4) to base 5\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1155652 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-12)*-4)\/((-12)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 + 14*y - 3*y**3 - 16*y + 4*y**2 + 1 in the form s*y**3 + u + h*y**2 + o*y and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 80. Suppose -3*l + o*p = -620, -816 = -3*l - l + 4*p. Calculate the greatest common divisor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 3312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33882*v**2*w**3 - 1589*v**2*w**2 - 4*v*w**2 - 2*w**2 wrt w?\nAnswer: 203292*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -a, -a + 0 = 2. Suppose 5*p = -n*d + 590, d = p + 4*d - 112. What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7301.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54630470 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4596914 litres?\nAnswer: 459.6914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 13) to base 2.\nAnswer: 101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 4)*2\/(-3). Let w be -1 + 3 - (-2 - -1). Let r(m) = 4*m**3 + 6*m - 4*m + 0 - m**2 - 1 - 3*m**w. Give r(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126633184*h**3 + 33656611.\nAnswer: -379899552*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**2 + 31*r - 19. What is p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 9*o**2 + 5\/64*o**4 - 1 + 3\/80*o**5 + 0*o**3 + 0*o + 1\/320*o**6. Factor f(m).\nAnswer: 3*m*(m + 1)*(m + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19.5, -11.322, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -16, -40*o - 523 = -45*o + 2*z. Solve -25 = -32*a + o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 6, 174, 245 in decreasing order.\nAnswer: 245, 174, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*(-2 - 7\/(-3)). Suppose 8*i - c*i - 25 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42)\/sqrt(2) - sqrt(21))*-4)\/sqrt(3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(128) - sqrt(128)*2)*2.\nAnswer: -16*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2932*h + 3743 wrt h.\nAnswer: 2932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002944352 rounded to 6 dps?\nAnswer: 0.000294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000361 rounded to five decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2887 - -0.288. What is v rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j - 6 = 0. Let x(v) = v**3 + 6*v**2 - 4*v - 14. Let s = -1 - -4. What is the lowest common multiple of s and x(j)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 5*c + v, 6*c - 5*v - 180 = -59 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r + 9 = 0. Let u = 2591 - 2587. Sort 0.01, r, u in increasing order.\nAnswer: r, 0.01, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 38 - 38 = 0. What is the second smallest value in i, 3, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236845000 rounded to the nearest one hundred thousand?\nAnswer: 236800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4\/9 - 160*v**3\/9 - 308*v**2\/9 - 152*v\/9.\nAnswer: -4*v*(v + 1)**2*(v + 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m. What is the units digit of (14910\/7)\/2 + m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1269, 5, 201, -5 in descending order.\nAnswer: 1269, 201, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 8*m**2 - 14*m**3 + 5*m**2.\nAnswer: -14*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350582 is divided by 15580.\nAnswer: 7822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at least -3199060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*x + 4*x - 20, 3*r - 5*x = -25. Is 23\/118 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -1861604.\nAnswer: -33508872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 517892313 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/(-858)*(1 - 16\/18)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48*(-270)\/(-864) - (5 + 492\/42)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193085 + 27*x**2 + 386163 - 193075 + 16*x**2.\nAnswer: 43*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 1336 in decreasing order.\nAnswer: 1336, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50 + -77ddc?\nAnswer: -77d8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7730?\nAnswer: 2, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 24*w = -40 + 760. Let n = -15 - -24. What is the remainder when w is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28256\/5 - 28254\/5. Factor -2\/5*n**4 - 4\/5*n**3 - 2\/5 + m*n + 2\/5*n**5 + 4\/5*n**2.\nAnswer: 2*(n - 1)**3*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*i - 6, 2*i - 5*g = -840 + 825 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 34*p + 70. Let q be a(-35). Solve -4*t - 3*t = -q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 11 = -2*h - 3, 4*d - 4 = -h. Do d and -2\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:13 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -12. Let p(r) = 4*r + 3. Let q(u) = 17*u + 13. Let d(y) = m*q(y) + 26*p(y). Let v(z) = -z. Give v(d(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48190425 divided by 642539?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = y + y. Let v be 1\/(-5) + y\/30. Suppose -v*r + 28 = -3*r. Solve 4*l + 36 = -2*a + r*a, -4*a - l + 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20900 = -4*s, 2*s + 24*p = 27*p + 10466. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1011211 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbb when three letters picked without replacement from lfbfbfb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v + 51 + 63 - 4*v**2 + 53 - 83 - 84.\nAnswer: -4*v**2 - 34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 25, -6*s = -5*v - 4*s - 85. Let x be (v\/20)\/((-15)\/80). Let f be -1 + x + -3 + 2. Solve r + 9 = -f*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399635041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w - 4 + 2*w)*(126 + 66 + 25).\nAnswer: -434*w - 868","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12205 + 113?\nAnswer: -12072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 3\/14 (c) -0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 - -84. Let g = 3.17 + -0.17. Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 75 = -5*v, 0 = -6*t + 8*t. Suppose 7*f - 116000 = v*f. What is f rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -381220.\nAnswer: 12199040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 564*x + 2357. Let b(r) = 281*r + 1184. Let a(g) = -11*b(g) + 6*k(g). Differentiate a(j) wrt j.\nAnswer: 293","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 486523 to the nearest 1000.\nAnswer: 487000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 12947*w**2 - 41912675*w + 41899729.\nAnswer: -(w - 6473)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -12.09. Let a = -0.09 + q. Sort -2, -8, a.\nAnswer: -8, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k + k. Let o be 10\/15*-6 + 41792\/9554. Let r = o + -6\/281. Is r at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - 1221\/(-44).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 2*y**2 + 2*y + 16. Suppose -43*b = -39*b - 68. Let j(p) = 3*p**3 - 6*p**2 + 5*p + 46. Let s(u) = b*i(u) - 6*j(u). Calculate s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121432581 or -728595491\/6?\nAnswer: -728595491\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 732, -3, 1 in decreasing order.\nAnswer: 732, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 3:50 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4743ba (base 15) in base 2?\nAnswer: 1100111111100110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -182\/9*l + 2\/9*l**2 + 0.\nAnswer: 2*l*(l - 91)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let o = 7 - 9. Let b(f) = -5*f + 7. Let y(p) = o*b(p) - 14*a(p). Let z(t) = 2*t**2 - 2*t**2 + 2*t**2 - 3*t**2. Calculate z(y(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*y + 169 - 32 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 364 - 90 = 5*v, r - 5*v = 56. Suppose -q = q - r. Let c = q + -2. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102021120 (base 3) to base 16.\nAnswer: -201f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48846?\nAnswer: 2, 3, 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -3 + 0 + sqrt(104)\/(sqrt(8)*-3).\nAnswer: -3 + 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 65*b + 67.\nAnswer: 65*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 + 1\/2*t**4 + 0*t**2 + 159*t + 0*t**3. Let m(r) = 17*r. What is a(m(f))?\nAnswer: 1734*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2882*z + 1 + 1396*z - 3272*z + 2705*z - 1.\nAnswer: 3711*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 o when four letters picked without replacement from gnroobgrog?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -8*u + 45. Let f be 0 - -2 - 750\/u. Let p = 80 + f. Which is the second biggest value? (a) p (b) -1\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3057.997953 - -3058. Round d to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*h - 2, 2*h - 3*u + 5 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - d + 1 = -3, 0 = -x + 3*d - 16. What is the closest to -2\/7 in x, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 9. What is the remainder when 13 is divided by 66\/g - 6\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.2, 67, 8 in descending order.\nAnswer: 67, 8, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 43, -1, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 3*t**2 - 17*t + 15. Let y be o(6). Let s = 14 + -9. Let u be (0 - 1\/(-2))*4. Solve 0 = s*a - 4*z + y, 0 = -2*a + 3*z - u*z - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 7*d**2 + 7*d - 6. Let c be x(6). Suppose 73*a - 8*a + 76 = 271. Differentiate a - 15 + 3 + 13*p + c with respect to p.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7293 = -2*b - 4*v - 1159, 4*v + 6094 = 2*b. List the prime factors of b.\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1440303 + -3141?\nAnswer: 1432112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3\/6 - 17*b + 20. Let o(x) be the first derivative of g(x). Suppose -63 = 4*w - 7. Let c(t) = -6*t. Give w*o(y) + 2*c(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 18. Let l(j) = 31*j. Let u be l(m). Suppose a - 155 = -4*w - w, 0 = -w - 2*a + u. Calculate the remainder when 87 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16799 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - l + 3*l**2)*(2*l**2 - 2*l + l**2 - l**2) + (-307*l**4 + 196*l**4 - 416*l**4)*(3 - 2 + 0) as k*l + q*l**3 + y*l**2 + n + d*l**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - -5*(sqrt(17) + sqrt(153)) - (sqrt(34)\/sqrt(2) - sqrt(17))*-3)**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1339210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {g: 1, s: 1, v: 1, q: 2, b: 2, h: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27 + 0.03. Sort n, 1, 1\/3.\nAnswer: n, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 23. Let t(s) be the first derivative of s**2 - 12*s - 33. Let n be t(0). What is the units digit of i(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 12197*p + 48801. Give a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nddpvddknepepde. Give prob of sequence kd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 8*r + 4. Let w(d) = -2*d**2 - 15*d + 7. Let j(c) = -5*l(c) + 3*w(c). Let o(h) = 2*h + 3*h - 4*h + 1. Let z be o(-5). Determine j(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 92 = 4*h, -3*h = -2*r - 24*h + 16*h - 55 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(10\/(-6)) - (-12 + -87). Let c = -101 + q. Sort 4, 38, c in descending order.\nAnswer: 38, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*2)\/(sqrt(125)*-4) + (3 + (sqrt(272) - ((sqrt(272) - (sqrt(272) + 2)) + sqrt(272)))**2 - ((sqrt(272) - (sqrt(272) + -2))**2 - sqrt(272))*6).\nAnswer: -17 + 119*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -111100011110111?\nAnswer: 111100011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/2 + 2)\/(119\/(-485520)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/265045 and -107\/315.\nAnswer: 16697835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 43.3662.\nAnswer: -43.7662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((((b*b**(-2\/3))\/b*b)\/b*b)\/b))**46\/(((b*(b\/(((((((b*b**32*b)\/b)\/b)\/b)\/b)\/b)\/b)*b)\/b*b*b*b)\/b*b)\/b**(1\/6)))**(-8\/3) assuming b is positive.\nAnswer: b**(-2396\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 22.41344kg?\nAnswer: 0.02241344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 58*y + 1005. List the prime factors of g(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/25 + -117 + 116?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2046112 divided by 344.\nAnswer: 5948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -9200.\nAnswer: -9\/9200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -31*l. Let i(c) = 17*c - 53*c + 18*c + 18*c + 2*c**2. Determine i(v(o)).\nAnswer: 1922*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -849 + 201. What is the greatest common divisor of n and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2880155.\nAnswer: -288015.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71076 or 71087?\nAnswer: 71087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 58 = -80. Let p(m) = 2*m - 2 + 4*m - 2 - m**2. Calculate p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvqp when four letters picked without replacement from {q: 1, p: 1, y: 1, u: 1, v: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a factor of 64190388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-148)\/(-28) + 8\/(-28). Suppose -o = r - 7. Let z be 40\/(-2)*((-125)\/20 - -6). Solve -r*q + z = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78616761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 15) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2607 or -2608?\nAnswer: -2607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*n + 1387 = 0, 4*z - z = n + 1043. Suppose 11*r + 84 = z. Solve -2*o - 4*b + r = 0, 2*b - 20 = -5*o + 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-3 - -1) + 11. Calculate the greatest common divisor of r and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 420329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 20. Let k = 0.3 - -2.7. What is the smallest value in 2, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/9 + 1\/3. Let q = 1.1 - 0.9. Which is the closest to 1? (a) y (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11119816 is divided by 25504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 105053853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265085739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 3*n, 3*b - 5 = 2803*n - 2799*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9839*l. Let z(y) = -y + 22413. Determine z(u(h)).\nAnswer: -9839*h + 22413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3\/3 - 14718808*b**2\/3 = 0. What is b?\nAnswer: 0, 3679702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 8*f - 3. Let r be v(19). Round r to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppkkpkppppppp. What is prob of sequence kkkp?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -939, -1978, -3113, -4362, -5743?\n\"Answer: -3*g**3 - 30*g**2 - 928*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 - 86. Let b(d) = 2*d**2. Give b(f(h)).\nAnswer: 50*h**4 + 1720*h**2 + 14792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10531 + 22225. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1185, 2372, 3559, 4746?\nAnswer: 5933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-14)\/28*-1*(-344)\/(-1) and 16?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-66)*3*98\/(-7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 5*b**4\/12 - b**3\/3 + b. Let y = -16 - -18. Let x(w) = -2*w**2 + 4*w**2 - w**2 - w. What is y*x(h) - t(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 5, z: 3}. What is prob of picking 3 t?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 81, 130, 185, 246?\n\"Answer: 3*c**2 + 34*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 22, 24, 24, 22, 18?\n\"Answer: -c**2 + 7*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.69 + -277.69. Let w = -280 - c. What is the nearest to -1\/3 in 0, w, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -297*k + 296*k + 58. Let x = k - 53. Solve 32 = -5*y + 4*v, x*v - 24 = 3*y + v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, -4, 3, -2, -1 in decreasing order.\nAnswer: 3, -1, -2, -4, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -9, -5, 22, 5, 87 in descending order.\nAnswer: 87, 22, 5, 4, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-17)\/l))**41*(l**(-2\/9))**(7\/8))**(2\/73) assuming l is positive.\nAnswer: l**(28037\/1314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 305397.4126 rounded to the nearest 100?\nAnswer: 305400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 973 + -374. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 1057854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(130))\/((sqrt(160) - sqrt(10))*3).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 16) in base 8?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*((-2*v + v + 5*v)*(-3 + 3 - v) - 2*v**2 - 6 + 6).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(((g*g**(1\/4)\/g)\/g)\/g)\/g*g*g*g)\/g)\/g)**(-42)\/(g*g**(2\/3))**(-4\/7) assuming g is positive.\nAnswer: g**(1363\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 84. Does -1\/9 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*h + 323978 = -1650879. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*s, 467394 = -5*v - 7*s + 5*s. Round v to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-563*r + 52 - 19 - 32)*(4*r - 2*r - r).\nAnswer: -563*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 8*q + 14. Let g be y(-6). Suppose -3*j + 9 = 2*a, g*j = j + 5. Suppose 4 - 9 = -5*c + 5*p, 0 = -c + 5*p + 13. Put -5, a, c in ascending order.\nAnswer: -5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/10 + 5)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**4\/4 + 2*g**3\/3 + 2*g - 1. What is the remainder when 52 is divided by m(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38970452 divided by 37909\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 4*v = -8*g - 204, 2*g = 4*v + 384. Let f = -194 + g. Solve 10 = -2*l - f*n, -5*n + 6*n - 5 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 71 + 13. Let v be 2 - ((-4)\/z - -2). Which is the closest to v? (a) -5 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 94\/7, -4, -0.4, 4, -1\/4 in increasing order.\nAnswer: -4, -0.4, -1\/4, 4, 94\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l**2 + 4*l + 2. Let a(x) = -x - 8. Let d be a(-5). Let s be j(d). Suppose -k - s = -3*k. What is the remainder when k is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12412, -12543, -12768, -13093, -13524, -14067, -14728, -15513?\n\"Answer: -h**3 - 41*h**2 - h - 12369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1562309, 1562303, 1562297, 1562291, 1562285?\n\"Answer: -6*q + 1562315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 114635 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.31, 0.3?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254079.\nAnswer: 3, 7, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 119218 - 118698 = 0 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/36618 and -139\/151470.\nAnswer: 54377730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 70*m**2 + 5*m - 135. Suppose 97 = 3*l + 4*v, l = -l - 4*v + 62. What is the smallest common multiple of b(35) and l?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 - 4*p. Let n(m) = m + 15. Let g be n(-11). Let z(x) = x**3 - 4*x**2 - 4. Let a be z(g). Let o be v(a). Solve o = u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1650, 632, -420, -1524, -2698, -3960, -5328?\n\"Answer: -3*q**3 + q**2 - 1000*q + 2652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.49817us in milliseconds?\nAnswer: 0.04349817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 90*b**2 - 53*b - 29. Calculate h(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 371*s + 141. List the prime factors of g(9).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*-2*-1 + sqrt(2299) + sqrt(2299) + (1 + sqrt(2299))*-6)*5)**2.\nAnswer: 6600*sqrt(19) + 230800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325 and 76206455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*j + 14, z - 16 = 2*j + 3*j. Let k be 195 - ((-6)\/(-2) - 0). Let t be (k\/120)\/((-2)\/(-5)). Put -4, z, t in decreasing order.\nAnswer: t, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -48. Suppose -4*s - 4*v - 3 = -3*s, -5*s + x = 4*v. Suppose 2*a - 5*u - s = 0, u = -3*a + a + 3. Solve -2*g + 0*g = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.52 + 4.51. Let k = -0.03 + y. Let p = 15708 + -15708.5. Which is the smallest value? (a) p (b) k (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - -2*(-2)\/4. Suppose -3*x - 51 = -v*x + r, 0 = -5*r + 25. Solve 5*z + x - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1437*g**2 + 2895*g**2 - 1 - 1405*g**2 - 2.\nAnswer: 53*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.52 and -301.\nAnswer: -156.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3598\/70 - 15\/(-25))*36\/(-72)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmm when three letters picked without replacement from {l: 5, m: 5, h: 4}?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 5*w**2 - 82*w + 167. Determine b(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 72690 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*i**5 - 910805*i**4 + 843559520*i**3 + 5464169480*i**2 - 3328883600*i + 485386160 = 0. Calculate i.\nAnswer: -7, 2\/7, 1862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/168 and 137\/768.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210101212202 (base 3) to base 9.\nAnswer: -2711782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 8*k**2 + 7*k - 1. Let a be c(-6). Let m be (5 - 7) + 12\/1 + -1. Solve m*p - 2 + a = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12a6 - 0?\nAnswer: -12a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, -1.2, 0.1, 99.8, 0?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/18 + 4092\/(-54). Calculate the common denominator of v\/(-6) + -1 + 1 and 17\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - g - g + 29*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**3\/3 - 53*q**2\/2 + 23*q - 24. Is z(-17) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3456 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 458.6 + -982. Round a to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 27*p**2 + 108*p - 248. What is t(30)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.1. Let u = -86 - -20. Let q = u + 67. Sort q, m, -2.\nAnswer: -2, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 k when four letters picked without replacement from ckcckkcc?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217 + 1 - 53)*(3 - 1 + 0)*(-3 - 4 + 3)*(2*q - 2*q - 2*q**2 + 8*q + (1 + 2 - 5)*(-5 + 5 + q**2) + q**2 + 3 - 3 + 0*q**2 - 2*q**2 + 4*q**2).\nAnswer: 1320*q**2 - 10560*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -61. Find the third derivative of 2*f**4 + 4*f**2 - 2*f**2 + f**6 - 62 + p - 3*f**4 wrt f.\nAnswer: 120*f**3 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 4. Let t(o) = -o**3 + 3*o**2 + 7*o + 11. Let c be t(5). What is a(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 19*r**2 - 19*r - 13. Let t be j(-18). Suppose 2*z + 4 = -5*o - 18, t*o + 25 = -5*z. What is the units digit of 1\/(-1) - 6\/o*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 148762 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*u = -4*h + 151, -4*u = 8. Let i = -133 - h. Sort i, 3, 6 in ascending order.\nAnswer: 3, 6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l - 23*l - 1 - 1. What is the units digit of x(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4374))\/((2*sqrt(16))\/sqrt(8) - sqrt(2)))\/((sqrt(81)*-2 + sqrt(81) + sqrt(9) + sqrt(9) - sqrt(54)\/(sqrt(18)\/sqrt(3)))*-6) + 5.\nAnswer: -3*sqrt(3)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1791.\nAnswer: -7\/1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -10 + (22 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135210 (base 6) to base 8.\nAnswer: 31026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 b, and 1 o when four letters picked without replacement from {v: 13, b: 3, o: 3}?\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3771328 and 64.\nAnswer: 3771328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*p + 195*p - 181*p - 10 + 27.\nAnswer: 149*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7790, 3 in descending order.\nAnswer: 7790, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 156113.14 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -23.47 and -15923 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x**2 - 22*x + 34. Let p(o) = 6*o**2 + 23*o - 43. Give -4*p(b) - 5*w(b).\nAnswer: 6*b**2 + 18*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/26 + (-28 - 715\/(-26))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 3363625.\nAnswer: 16818125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 17. Let x be f(8). Let u be 1\/(2 + x\/(-5)). Solve 4*a = -u - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*q*u - 1974*l + 16*q + 21*u with respect to l.\nAnswer: -2*q*u - 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/24 - 2*o**3\/3 - 2*o**2. Let t be d(0). Sort t, -3, 4 in ascending order.\nAnswer: t, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -97.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39487947 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 167 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2) - (3 + -6). Let s be ((-9)\/5)\/((9\/5)\/(-3)). What is the third derivative of -6*d**a + 102 + 11*d**s - 102 wrt d?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8 + 2*o**3 + 109*o**2 - 11*o**4 - 7 + 12*o**4 + 2*o to the form r*o**3 + z*o + q + c*o**4 + d*o**2 and give d.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - 49 - ((-8 - 0) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -6*o**5\/11 + 125322*o**4\/11 + 5271468*o**3\/11 + 55252812*o**2\/11 - 5271462*o\/11 - 55378134\/11 = 0.\nAnswer: -21, -1, 1, 20929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 546\/98 + (-3)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4514 - 4514.09884. Round n to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41 and -2116.\nAnswer: -2157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7622 + 11706. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -5\/17*b**3 + 0*b + 11\/510*b**5 - 3 - 1\/255*b**6 + 2\/51*b**4 - 39*b**2. Solve w(d) = 0.\nAnswer: -5\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5065 = 3*t - 5059, 5*d - 3*t + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4185 and 61101.\nAnswer: 305505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50800*i = -50717*i + 1494 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 67?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35595 divided by 3?\nAnswer: -11865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = 2*o, -h - 7*o + 8 = -5*o. Let j = -10 + 14. Suppose -i - 13 = -2*k, 8*k - j*k = h*i + 20. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -566, -847, -1128, -1409, -1690?\nAnswer: -1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 829737?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08263 rounded to 3 dps?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804 is divided by 212?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15297, -30237, -45177, -60117, -75057?\nAnswer: -89997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 + 0*o**2 + 2*o**2)*(o - 4*o + 4*o) + 5062620*o - 5062620*o - 1 + 734*o**3 - o**2 as k + r*o**2 + z*o + x*o**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/28 - -47\/84. Suppose -4*b - 17 = -17. Factor b*c + 2\/3*c**4 - 2\/3*c**2 + p*c**5 + 0 - 2\/3*c**3.\nAnswer: 2*c**2*(c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 94664 = -3*d + 70076, -2*q - 2*d + 65892 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249489943.\nAnswer: 17, 863287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 1, -5\/6, -35, 0.5, -4, 0.1455?\nAnswer: 0.1455","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.027 - 4.027. Which is the nearest to 3\/7? (a) t (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-7) + 8\/28. Suppose g*h - 5 = i, -i - 3 = -0. Which is the closest to h? (a) 0.5 (b) -5 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose -2*d - b*u = -u - 1, 4*u + 20 = 0. Put -3, d, 4 in descending order.\nAnswer: 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32648 and 166526.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*o - 11 = 3*a, 26 = 2*a - 4*o. Let v = -197 - -199. Solve v*y - f = 4*f - 15, 0 = a*y - 5*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) 3 (c) 1 (d) -4228 (e) -2 (f) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 3*f - 2. Let s(j) = 6*j**2 - 15*j + 11. Let y(o) = 11*g(o) + 2*s(o). Let k be y(-5). Suppose -8*b = -k*b + 1486. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 23 = a, 259*a = 257*a - 4*l + 2 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23930 divided by -5.\nAnswer: 4786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 6. Solve 6*p = v*o + 3*p + 6, 0 = 3*o + 3*p - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5468 and 37\/9604542?\nAnswer: 19209084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 0 - 22\/13*b**3 + 4\/13*b + 18\/13*b**2 = 0.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 53*p - 954. Give j(39).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7*i**2 - 6)*(4 - 4 - 2).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17)*4 + 2 + ((sqrt(833) - 2*sqrt(833))*-4)**2 - ((2 + (sqrt(1700)*-2 - sqrt(1700)) - (-2 + -2*sqrt(1700))) + 1)**2.\nAnswer: 92*sqrt(17) + 11605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 356, 355, 352, 347, 340, 331?\n\"Answer: -n**2 + 2*n + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 34*o = -2820. Solve -o*v = -35*v - 413 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n. Let u be (-8)\/3*(-24)\/4. Suppose c = -4*r + u, -3*c = -5*r - c + 33. Let i(l) = -6*l. Let v(f) = r*i(f) + 4*z(f). Let h(j) = 3*j. Give v(h(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2211 - -1003?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/169, 15\/2, 52\/21, 9\/11?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1176 and 144?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 68. Determine x(25).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a - 1. Let d be a\/(0 + 3\/(-15)). Suppose -d*x - 15 = -0. Let h(s) = 2*s - 1. Determine h(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/((-8)\/4))\/(131\/393).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8176 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170364635.\nAnswer: 5, 7, 41, 227, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (133\/(-21) - -7)*(-170490)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3*s - 183266*h*x**3 + s*x + 90417*s + 3*x**3 wrt h.\nAnswer: 9*h**2*s - 183266*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 1. Let k(t) = -t - 3. Let r(d) = 2*k(d) + 2*m(d). List the prime factors of r(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 3:19 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5898 - 2710 + f**2 - 2561 to y*f**2 + z*f + m and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b**3 - 5*b**3 - 9*b**3 - 2*b**3 + 4*b**2. Let w(a) = -15*a**3 + 15*a**2. What is 22*m(i) - 6*w(i)?\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -7 in decreasing order.\nAnswer: 5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k. Let x(l) = -2*l**2. Let f(h) = 3*h**2. Let t = -29 + 57. Let c = 23 - t. Let v(a) = c*x(a) - 3*f(a). Give p(v(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 160448690 divided by 3\nAnswer: 160448690\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -53, -119, -241, -437?\n\"Answer: -3*a**3 - a**2 - 4*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06406 - 0.56406. What is the closest to 0.1 in -1\/5, -4, g, 9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -b + 5*b. Find the second derivative of 19*y - 6*y**5 - b*y**5 + 19*y**5 wrt y.\nAnswer: 200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddgggdgdddgdd.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5 - 11. Let a be b\/20 + (-4)\/(-10). What are the prime factors of 1\/(3\/39 - a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/4515 (b) 1 (c) 0 (d) 3 (e) -2 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = o - 123. Suppose 82*n - 780 - 1704 = -125*n. Suppose n = 5*z - o. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9420 and 2198?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3311771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0267 minus 101.40493779?\nAnswer: -101.37823779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 11*o - 7 = t, 0 = 3*t + 8 + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32154 to 2 dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 98*l**2 - 3*l - 76*l**2.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.944384 to 1 dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522 divided by -2?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(-5)*b*b)*b)\/b*b*(b*b**(1\/8))\/b)**(3\/49)*(b**(-6\/11)\/(b**(-3\/4)*b))**(1\/4) assuming b is positive.\nAnswer: b**(991\/8624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.521467 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 8 - 8)*(-119 - 144 + 48)*(2*h - h**2 - 2*h + (-h**2 + 0*h**2 + 2*h**2)*(4 - 6 + 0)) to t*h**4 + f*h**3 + o + n*h + p*h**2 and give t.\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/19 or -1.56?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1560 and 300.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 1. Let k be b(-1). Let h = 6 - k. Is (39\/(-4))\/(h\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93672, -187338, -281004?\nAnswer: -374670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -38.\nAnswer: -27\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c - 1 + 14*c - 3 + 11*c. Let k be z(2). Let m be 24\/(-156) - 132\/(-13). Calculate the highest common factor of k and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/(-9)*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 33.052. Let q = -0.08 + i. Round q to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - (-801)\/45) + 1*-2. Let p = -74 - -220\/3. What is the closest to -1\/4 in 2, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(243) + 2)**2 - (5*((sqrt(243) - 3*sqrt(243)) + sqrt(243)))**2 - ((sqrt(243) + -3)*-1 - -1*(2 + sqrt(243)))**2.\nAnswer: -5832 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*h**2 - 2\/3*h**3 + 14\/3*h + 8\/3.\nAnswer: -2*(h - 4)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248378194.\nAnswer: 2, 17, 7305241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 12*c**7\/7 + 11*c**3\/3 + 12. What is the third derivative of k(h) wrt h?\nAnswer: 1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5336 less than -5114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**3\/6 + 72*i. Let v(q) = 67*q. What is v(o(b))?\nAnswer: -67*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 - 10*r**2 - 11*r**2 + 23*r**2 + 9*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/20 and 81\/100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, -107 in descending order.\nAnswer: 15, 3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/4 + 5*p**3\/6 + 384*p**2. Let h(n) = 23*n**2 + 8. Suppose -4*j + 38 - 6 = 0. Calculate j*d(x) - 5*h(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 371 - 104. Let p = 416 - k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 0*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.897799ml in litres?\nAnswer: 0.008897799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033313 (base 5) to base 9.\nAnswer: -51054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 1. Let y(d) = 24*d + 4. What is -10*h(q) - y(q)?\nAnswer: -4*q - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 - -142. Suppose 0 = -3*s - 3, -1 = -3*d + 4*s + 3. Suppose t*j - 22*j + 201 = d. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = 31*i - 285. Which is the smallest value? (a) 1\/25 (b) 4\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.2, 1, -0.01, -0.13, -3.06?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -3, 4, 2, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*p - 2*p = -4, -2*q + p + 2 = 0. Let u(n) = q*n - 3*n + n. Let x(c) = 44*c + 133. Let y be x(-3). Determine u(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/4))**(1\/5)*p*p**(-8)*p*p*p*p*p**(-10) assuming p is positive.\nAnswer: p**(-257\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -i - 5*f - 15, 3*f + 30 = 5*i. Solve 0*p = i*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 7 - 7 + (-2 - 1 + 1)*(243070 + 1052*y - 243070) to x*y + i and give x.\nAnswer: -2107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243753 + 269375 = -10209*h + 627953 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 32400402?\nAnswer: -32400402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2 = -c. Find the third derivative of 46 - 46 - d**2 + c*d**3 wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -693*(-15)\/(23 - 158)*13\/(-13).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 905 = 1320. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 65, -0.5, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12045 + 4 + (-144)\/9 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 79.64434 centimeters?\nAnswer: 796443400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 4 = -5*b - 5*h, 4*b - 5*h + 2 = 0. Sort -3, 5, -4, b.\nAnswer: -4, -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 9) to base 3\nAnswer: -21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 346 = 3*k, -346 = -2*z + 3*k - 7*k. Suppose 5*x + z = 3*y + 794, y = x - 125. Calculate the remainder when x is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 1116*w**2\/7 - 634*w + 3324\/7.\nAnswer: -2*(w - 554)*(w - 3)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + -9 + -5 + 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4036 - 7176 = -27*r - 3626 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 22638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*h - 69*h + 70 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/14*28\/(-8). Let r(l) = l - 14. Determine r(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19681655*f**5 + 101250*f**2 wrt f?\nAnswer: 1180899300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 1}. Give prob of sequence jb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 5. Let o be ((-9)\/21)\/((-6)\/(-4)). Let d = 0.2 - 0.3. Put d, l, o in descending order.\nAnswer: d, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -49. Let z(r) = -r**3 + 3*r**2 - r - 1. Let j be z(x). Is 97\/((-12)\/j*-1 + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*y + 5*s, 5*y + 0*s - 3 = -s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121212 + 110?\nAnswer: -121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let m(u) = 870*u**2 - 318*u**2 - 3989*u**2. Determine m(j(c)).\nAnswer: -3437*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 946579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -738, -783, -866, -993, -1170, -1403?\nAnswer: -1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51788 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 982 + -991 - (-10 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:05 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.4 - -14.07. Let p = 74.33 + g. Let b = 75 - p. What is the second biggest value in -4, 5\/11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 l when four letters picked without replacement from vvvvvvvlvvlvvvvvvvvv?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 25*j + 27. Let v be (-1783 - -1786)*((-7)\/12 + (-2)\/(-8)). Give l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10225983 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 4476 (c) -3 (d) 0.1 (e) -1\/3 (f) 291\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118 + -107.3. Let f = z - 11.2. What is the nearest to -31 in 1\/4, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.7 + 8.7. Which is the nearest to z? (a) 2\/11 (b) 2\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.2 - 8. Let w = -100 + -49. Let g = w - -146. What is the nearest to y in g, -1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 1. Let j(z) = z - 2. Let w(d) = 3*j(d) - 4*y(d). Give w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 9. Let q be (-1)\/(1*3\/9). Let y = q - r. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8 and 101\/426?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:35 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4, 4*g + 3*o = -o + 92. Suppose -21 = -3*v - 3*t, 4*v = 3*t - 0*t. Calculate the highest common divisor of v and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -308 + 409 - (-7 - -165).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 13143?\nAnswer: 13202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.1. Let z = f - 2.1. Which is the second biggest value? (a) 0 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-924)\/(-18))*(-2 - 2\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 + 346. Is 39 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 292.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 - c + 10. Let p be u(0). Suppose -3*n = -2*n - 4, -3*d = n + 98. Let s = d - -36. What is the highest common factor of s and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {v: 1, p: 1, x: 1, g: 4, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15)\/10*2\/(-7) + (-2435)\/(-35) is divided by 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1445 in 191, -4, -5?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3925, -5, 2 in increasing order.\nAnswer: -3925, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-158\nAnswer: -158.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 - 1.056.\nAnswer: 24.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a100 - 32?\nAnswer: a0bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13ac5 + -35?\nAnswer: -13b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4825 + -4824. Put -1, -3, -22, k in descending order.\nAnswer: k, -1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 50*i**2 - 7349*i - 169. Determine h(147).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4\/4 + 20*k**3\/3 + 33*k**2\/2 - 37*k - 278. Let i be r(-18). Calculate the greatest common factor of 629 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = 4*d + 2*j, 0 = 4*j + 63 - 79. Is d at most -416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16353, 16402, 16451, 16500, 16549?\n\"Answer: 49*r + 16304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 3 (c) -109\/6 (d) -0.3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2. Let r(l) = -l**2 - 5*l - 6. Let g = -3 - 1. Let p be r(g). Let k be (-4 + -1)*p\/(-5). Determine d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 - (35 + -61). Let c(i) = -4*i**3 - 2*i**2 + 3. Let s(r) = -17*r**3 - 9*r**2 + 13. Calculate j*c(k) - 6*s(k).\nAnswer: -2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -424, -426, -428?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 10010?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/650 (b) 1\/3 (c) 18\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0 - 4. Let j = -5984 + 5988. Solve j = -l, r*l + l = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -116. Suppose 0 = 4*b + 2*j - p, -4 = -b - 5*j - 0*j. What is the highest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000082389018 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*z**2 - 107*z**2 + 40*z**2 - 343*z**3 - 193*z**3.\nAnswer: -536*z**3 - 176*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s**2 + s**2)*(-2 + 2 + s**2) + (2 - s - 2)*(-3*s**3 + 2*s**3 - 9*s**3).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098674205 plus 194675?\nAnswer: 194674.901325795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35522 and 19264.76.\nAnswer: 54786.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 21. Let g be w(-10). Let c(o) = -o**2 - 11*o. Let f be c(g). Suppose f = -z + 1 + 1. Solve z*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 109877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 0.5, 30, -0.07, -196, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48476 is divided by 245.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.19122 * 13.8\nAnswer: 2.638836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 39. Suppose 0 = -6*x + q + 3. Let s(c) = -2*c**2 - 13*c + 24. Let j be s(-8). Sort x, 5, j.\nAnswer: j, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 7\/2 (c) 0 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-468234)\/5096) + 8\/116.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1170 - 883. Does 41 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.3, 48, 4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.001 + -0.831. What is i rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((-1140)\/(-608)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/6 - 850\/(-12).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.161259 + -0.162. Let w = j - -0.00306. Round w to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4421 - -10191. Does h = 5770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/6, -4973?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)*r)\/r*r**2\/r*(r**2)**(13\/4))**(-6\/23) assuming r is positive.\nAnswer: r**(-9\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -0.9417.\nAnswer: -8.4753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1880*w**3 - 28*w**2 + w - 45243.\nAnswer: 5640*w**2 - 56*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**3 + 14*z**3 - 18*z**3 + 12*z**3 - 80941*z + 80923*z.\nAnswer: -4*z**3 - 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*n - 236 = -0*n, 392 = -3*b - 5*n. Let k = -9 - b. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + 5*a**3 - 3*a**3 + (32*a - 73 + 73)*(-2*a**2 + a - a) to l + v*a + x*a**2 + p*a**3 and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 12. Determine u(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42463 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2135\/70)\/(-61) + 2\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*w - 0*o + 2753, -3*o - 5491 = -10*w. What are the prime factors of w?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 10:53 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - l**2 - l - 1. Let f(d) = -6*d**3 - 19*d**2 + 4*d + 4. Determine f(k) + 4*q(k).\nAnswer: -2*k**3 - 23*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**7\/21 + 79*x**6\/30 - 53*x**3\/3 - 153*x. What is the second derivative of d(p) wrt p?\nAnswer: 40*p**3 + 948*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 1795*t - 1993860.\nAnswer: 5*(t - 836)*(t + 477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = -4*y, 3*c - 24 = -0*c + 3*y. Is c + 0 + 2 + -1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 1862*a - 74*a - 21 + 704*a in the form u + g*a and give g.\nAnswer: 2492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87, 168, 239, 294, 327, 332, 303?\n\"Answer: -v**3 + v**2 + 85*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 243480263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116526877.\nAnswer: 6863, 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(5) - sqrt(7))*-3 + sqrt(7) + (sqrt(343)\/sqrt(7))\/sqrt(7))*-4.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(0 - 5 + 4)*(-2*l + 4 - 4) as o + n*l and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 3*k, -3*k + 2*k - 5 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182776625 by 25.\nAnswer: 7311065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2474965?\nAnswer: -3\/2474965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 1281*a**2 + 128040*a - 1887600.\nAnswer: 3*(a - 13)*(a + 220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2 = -4*q, -3*q = -44*k + 40*k - 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -324, -323, -322?\n\"Answer: u - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 5?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-5))\/((-2)\/(-10)). Solve 0 + 8 - 15*o**2 + 22*o - 41*o - 10*o**3 - 6*o**3 + 25*o - d*o**4 = 0 for o.\nAnswer: -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/(m*m*m\/(m**(-2)\/m)))\/m)**(-36)\/(m*m*m*m\/m**(-8)*m**5\/m) assuming m is positive.\nAnswer: m**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5614 = f, 4*o = -2*f - 2*f + 22440. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3855342?\nAnswer: 2, 3, 642557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-1)*(1 - 0). Let y be 2\/(-4)*l\/(-2). Suppose -d + 6 - y = 0. Is 2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = 5*z + 2*c - 344, 3*z - 17*c = 178 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2092 times -0.042?\nAnswer: -0.1347864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94802 is divided by 15780?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106 and 3351?\nAnswer: 355206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6668*t - 6699*t = 155. Put 5, 3, 1, t, -100 in decreasing order.\nAnswer: 5, 3, 1, t, -100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - 5. Let r = 34.1 + v. Which is the nearest to r? (a) -1 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:54 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 766 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42477 and 2946.\nAnswer: 125137242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3010, -3025, -3062, -3133, -3250, -3425, -3670?\n\"Answer: -2*a**3 + a**2 - 4*a - 3005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = -5*a + 776. Suppose -4*q = -a*t - 1483 - 707, 3*q + 2*t = 1634. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 20. Let m be p\/(-4) - (-12)\/8. Which is smaller: m or -0.9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3174 and -0.074.\nAnswer: -234.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = -20, 5*y - 27 = 3*m. Suppose -y*n - 8 = -209. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a8706 + -a8?\nAnswer: 2a861a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 5*m = 34*m - 64*m + 1665 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m. Let t(u) = -16*u**2 + 3. Determine t(j(c)).\nAnswer: -256*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8905 is divided by 337?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/q**(-3\/5))\/q)**(4\/15)*(q**(-8)\/q)\/((q*q\/(q**(13\/2)\/q)*q*q)\/q) assuming q is positive.\nAnswer: q**(-871\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-12) + (-58)\/8. Let q = -2396 + 9561\/4. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78149\/4263 + 2\/1421. Let l = 20 - h. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 10. Solve -2*u - 17 = -r*g + u, u + 9 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let o(p) = -p**2 - 3*p. Let t(w) = -6*c(w) - 2*o(w). Let n(j) = 58*j**2 - 26*j**2 - 36*j**2. Determine t(n(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 16016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5190 is divided by 344?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:33 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.53 + -0.03. Sort -5, 2\/7, 4\/7, v.\nAnswer: -5, 2\/7, v, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(76) + (-5*(sqrt(76) + 0 + sqrt(76)) - sqrt(76))**2.\nAnswer: -4*sqrt(19) + 9194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d = -27*d + 60. Let b = d - 13. Put -2, -4, -1, b in descending order.\nAnswer: b, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-20\/3)\/((b*b**(-4)\/b)\/(b**2\/b)))\/(b**(2\/7)*b**(2\/5)*((b\/b**(1\/2))\/b)**17) assuming b is positive.\nAnswer: b**(1291\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 12*n**2 + 20*n + 96.\nAnswer: (n - 8)*(n - 6)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 34.979. Round i to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 1?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3926 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**6\/120 + x**5\/10 - x**4\/6 - x**3\/2 + 37*x**2\/2 + 42. Let u(p) be the second derivative of f(p). What is u(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 4. Let d be o(4). Let m be (-163)\/(-4) + (-6)\/d. Let b = 64 - m. Solve -4*n + b = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, 4, 23, 58, 115, 200, 319?\n\"Answer: j**3 - j**2 + 5*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 + -1809a9?\nAnswer: -180966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -1\/630*v**7 + 0*v + 0 - 1\/120*v**6 - 6*v**2 + 1\/24*v**4 + 1\/9*v**3 - 1\/180*v**5. Factor j(o).\nAnswer: -(o - 1)*(o + 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191312 divided by 4.\nAnswer: -47828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 18 = -3*b, -2*v - 4*b - 6 = -0*b. Suppose -v*x - 6 = -0*x. What is the units digit of 0 + (2 + -2 - x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664184341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (6020 - (6 + -6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -1. Let p = 5 + k. Let g = 11 + -7. Solve 5*i = b + 9, -2*b + 9 = g*i - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205141 (base 8) in base 7?\nAnswer: 5015231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 7. Suppose 3200 = n + 9*n. Suppose n = 33*j + 47*j. Solve -j*b - 3*t + 13 = 38, 0 = b - 4*t - a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/8*-78*200\/(-9750). Let c = 2\/5639 + 293214\/39473. Is d less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919528159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1209 - 1209 + 91*g)*(-4 + 4 - 3 + (-3 + 3 + 1)*(0 + 4 - 3)) to l*g + d and give l.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -446, -457, -468, -479?\n\"Answer: -11*d - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 259503*d + 259503*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*r - w - 8, 4 = 2*r - 2*w. Solve 2*i = r - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4975*a - 41280. Calculate u(8).\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*s + 86 + 476, -4*d - 448 = 4*s. Let t be s\/(-4) + (-2)\/4. Let g = t - 15. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.53486 millilitres in litres?\nAnswer: 0.08153486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-9 - -1)\/2. Let v(i) be the first derivative of 9*i**2\/2 - 1. What is the units digit of v(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Find the third derivative of -8*v**5 - 2*v**a + 9*v**2 + 0*v**2 wrt v.\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/61768 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oonhghc. Give prob of picking 1 n, 1 h, and 2 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14283500 rounded to the nearest one hundred thousand?\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(6\/3))\/(-3*3\/18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87088627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -23. Let w = -4.9 - -0.9. Which is the nearest to -2\/3? (a) f (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558435?\nAnswer: 5, 11, 181, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000348082 to seven decimal places.\nAnswer: -0.0000348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1433 + -1432.6708. Let k = x + -0.0292. Put k, 24, -5 in decreasing order.\nAnswer: 24, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531952 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1) - (0 + -236). Suppose 3*y - f = -66. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/18 + 68\/102)*36?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2718368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3947 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -41*l + 396. Let z be r(0). Calculate the greatest common divisor of z and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 111*k**3 + 1. Let t(h) = 3*h**3. What is -2*a(d) + 18*t(d)?\nAnswer: -168*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:58 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173938404 to the nearest integer?\nAnswer: 13189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 1. Let j(s) be the first derivative of -7*s**2\/2 + 7*s + 41. Calculate j(x) + 5*o(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 12, -2, 2, -1 in descending order.\nAnswer: 12, 2, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 20929*v**2\/4 + 27379056*v - 27373824.\nAnswer: (v - 10464)**2*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from uuquqqqqjqqju?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 15*y + 23. Is n(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 + 114. Let j(f) = 3*f - 13. Let u be j(5). Let b be (-1)\/(-1*u\/10). Solve g*y = -b*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776950 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 7. Suppose -u + o = 2*u. Which is the closest to -0.3? (a) 3 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1700) - ((sqrt(1700)*-3)**2 + -2)).\nAnswer: -10*sqrt(17) + 15298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/4 + 5*l**3\/3 + 4*l**2 + 4*l + 30. Let m be u(6). Suppose 5*j + c = 35, 2*j - 5*c - 17 = 3*j. Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -146.748467.\nAnswer: 58.6993868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 363, 361, 359, 357, 355?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93\/178 + -2\/89. What is the closest to 0.1 in -5\/2, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -593*t + 617*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 - x + 3. Let j(i) be the second derivative of -11*i**4\/12 - i**3\/3 + 9*i**2\/2 - i - 27. Determine -3*j(t) + 8*u(t).\nAnswer: t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = -5*d + 14, 19*m + 2 = 20*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + -6 - (6 + 0)) + (7 - 13) + 124?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359008099 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 133, -0.5, -5, -3, -33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -861, -4, 0, -1 in decreasing order.\nAnswer: 5, 0, -0.5, -1, -4, -861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 609\/15 - 15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3)*k\/(k\/k**(2\/21)*k))\/((((k*k**(9\/5))\/k)\/k)\/(k*k\/(k**(-7)*k)*k)) assuming k is positive.\nAnswer: k**(232\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfr when three letters picked without replacement from {a: 3, d: 1, r: 1, m: 7, f: 1}?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*k**3*n*r**2 + 331*k**2*n*r**3 - 9*k*n*r - 6861*k*r**3 + k*r**2 + 2*n*r wrt k?\nAnswer: 288*k*n*r**2 + 662*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y + 19. Let l(n) = -11912*n - 35734. What is the remainder when y is divided by l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a week in hours?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-9) + 10\/18. Let t = -9 - 11. Which is greater: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 24234420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(162)*5 - (sqrt(162) - (sqrt(162) + -1*sqrt(162) + -3)))**2.\nAnswer: -216*sqrt(2) + 2602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4865 + -4864.99. What is the second biggest value in s, 2\/27, -4\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 = -12*i - 48*i. Calculate the remainder when 82 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-3)*z*z\/((z*z**(1\/13)*z)\/z)*z*(z*((z*z**(2\/17))\/z)\/z)\/(z*z\/(z\/z**(-12)*z)) assuming z is positive.\nAnswer: z**(2661\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - d + 11, 86*b + 2*d - 34 = 90*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-4 + 0 + 1 - 3 + 0 + 0 - 3 + 1 + 3 + (-1 - 3 + 6)*(1 + 3 - 5) + 2 - 2 + 2)*(-2*y + 3*y - 2*y) - y - y + 4*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 5:12 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -241 - -358. Suppose 13*g - 4*g - f = 0. What is the remainder when g is divided by ((-3)\/6)\/((-2)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((2 - -2) + (-5 - -5) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 15*f + 53. Let k be y(5). Suppose 3*p + 1143 = k*i, 3*i - 354 = 4*p + 794. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -2 (c) 7\/40 (d) 3 (e) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 12. Let l = 6 + -2. Let b = -6 + 11. What is the biggest value in l, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(0 - 2\/7). Let v be 1\/(-3) + (-28)\/(-36). Let w = v - -19\/18. What is the nearest to y in -2, 2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 174357, 350140, 525923, 701706, 877489?\n\"Answer: 175783*z - 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 2*c**2 - c - 4. Let i be m(3). Let q(p) be the first derivative of -4 + 0*p + 0*p**i + 2\/3*p**3. Let v(h) = 11*h**2. What is q(v(y))?\nAnswer: 242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 2*c**2 - 6. Suppose -2*q - 11 = -3*i, -3*i - 4*q = -0*q - 5. Let m be h(i). Is 1\/m + 8600\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -q + 23, -41*r + 2*q = -45*r + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 238637 and 238637 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**2 - 24*n + 27*n**2 + 107*n.\nAnswer: 5*n**2 + 83*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*z - 2\/5*z**2 + 0.\nAnswer: -2*z*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/413 (c) -3\/8 (d) -202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*i - 5540 = -5*i, -4 = 4*i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 15.590463.\nAnswer: -0.62361852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30*(-15)\/(900\/(-40)). Solve -3*v - 3*u = 27, 0 = -u + 5*u + k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + 78.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98226.\nAnswer: 2, 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k + 1. Calculate r(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284 - -193. Let a = h - -87. What is the closest to -8.7 in -0.3, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -10*y + 8*y, -u - 1 = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 - 54*i**3 + 324*i**2 - 714*i + 441 = 0. What is i?\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 665945*g**3*h - 3*h + 106473 wrt g?\nAnswer: 1997835*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4005081 is divided by 206?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z + 0*z - 1 + 6*z - z**2. Let t(o) = 81*o - 239. Let b be t(3). What is j(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*g - 2, 9090*d + 14 = 9086*d - 2*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**27)\/x)\/x**(-7) assuming x is positive.\nAnswer: x**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 39 = -3*b, -2*b - 24 = -2*i. Suppose 2*m + 4*x - 4019 = -905, -5*x - i = 0. Suppose 5*l + 0*l - m = 2*j, j = -3*l + 929. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 865*i**3 - i**2\/2 + 923*i + 1358. What is the second derivative of s(k) wrt k?\nAnswer: 5190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 1 - 48*m**2 + 49*m**2 + m. Let k be (-12)\/(-30) - (-54)\/(-10). Let n be h(k). Calculate the highest common divisor of n and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 2. Is 20 a factor of 25\/(d\/12*-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 17 (c) -77 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366, -722, -1078, -1434?\nAnswer: -1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 + -6.88. Let n(w) = -157*w + 159. Let f be n(1). Which is the second biggest value? (a) f (b) -5 (c) p (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 14*f - 231 + 605 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27828578.5 - 473.\nAnswer: -27829051.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -284 + 360 - (21 - -49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aann when four letters picked without replacement from naataapnqppaaapan.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 2*x**2 - 4*x - 5. Let l be p(4). Let v = 201551 + -201542. Solve -4*a - 27 = 5*d, -a = 7*d - l*d - v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 12 + (15 - 24) + 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40502724 (base 8) in base 3?\nAnswer: 121002120210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-250)\/6)\/((-2)\/6). Let g = r - 189. What is the common denominator of ((-58)\/3)\/(g\/18) and -115\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717283231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6 - 0)*-18. Let f = 299 + 297. Is (f\/(-12))\/((-2)\/t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + o)*(o + o + 6*o)*(0 + 0 - 5)*(-4 - 7 + 3).\nAnswer: 320*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r, -13 = 3*x - 5*r - 50. Determine k so that x*k**3 - 2*k + 3*k - 5*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 790 and 117710?\nAnswer: 117710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 7*w + 16. What is q(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*h**4 + 3*h + h**2 - 2*h - 113*h**4 - 165*h**4 to p*h + j*h**4 + w*h**2 + k + m*h**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, -1, 9, -25, 53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16183?\nAnswer: 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66231542.\nAnswer: 2, 13, 191, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 150*t + 7072\/3.\nAnswer: 2*(t + 17)*(t + 208)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133823\/40370 - 6\/1835. Let u = l - -7\/2. Which is the second smallest value? (a) u (b) 1\/35 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116 times 987283?\nAnswer: 114524.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60248260 is divided by 202856.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1791070.991 to the nearest one thousand.\nAnswer: 1791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573602 is divided by 1486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6786 + 6783. Which is the biggest value? (a) r (b) 1\/6 (c) -37 (d) 0.5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbpbcpp. Give prob of picking 2 b and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*x = -204*x - 7*x - 5312 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f - 32. Let o be n(4). What is the derivative of -q - q - 8*q - o*q - 13 wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 3, 2.75 in decreasing order.\nAnswer: 3, 2.75, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 + x + 6. Let q be y(5). Let k = 4\/955 - -69667\/11460. Calculate the common denominator of 0 + (q\/(-20))\/(-1) and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) -12.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqqqqqqqqpqqp. Give prob of picking 3 q.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521 - 521.5. Which is the closest to 1? (a) -5\/2 (b) i (c) -2\/5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 5c8?\nAnswer: 5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213.11 + 211. Let d = z + 1.11. Let q = 3.1 + -3. What is the nearest to q in d, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1658*g - 431 + 211 + 222 in the form c*g + r and give c.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z**3 + 5*z - 7. Let m(k) = -8*k**3 + 2*k - 3. Calculate -3*f(y) + 7*m(y).\nAnswer: -8*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 24687, 5?\nAnswer: 24687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 7*t**2 - 4*t + 8. Let o be h(-6). Let w be o + 2 + 2 + 13. Let n = -6 + w. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k - 4. Is ((-2)\/(-2) - -234) + 3 + k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -76 + 39 - (-7 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n - 1 + 0 - n)*(2*n + 1 - 1).\nAnswer: 28*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - g + 4*g - 15, -4*g = 2*a - 14. Let d be -7*40\/(-56)*a\/15. Solve 0 = -d*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y + 172*y + 5428 = 0 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8447.43 millimeters?\nAnswer: 8.44743","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c**2 - c**2 - 1)*(-5 - c**3 + 5)*(-9 - 3 - 1)*(69 - 8 - 22).\nAnswer: 507*c**5 - 1014*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-3))\/((-40)\/(-16))*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322 + -331. Sort -2, r, -65.\nAnswer: -65, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201066011 or -201066009?\nAnswer: -201066009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d - 11. Suppose 19 = -5*i - 6, d*s + i - 451 = 0. Suppose -2*h - s = -14. What is the common denominator of 71\/8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1128\/30 + 6\/15. Let a = 40 - s. Solve 2*o = l - a*o - 20, -l + o + 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 13 + 39 = 2*n, 11 = n + 2*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s. Suppose 2*h - 4 = -3*y - 2*h, s = 3*h + 6. Suppose 5*x - 19 - 414 = 4*j, -4*x - y*j = -332. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30424 (base 7) to base 10.\nAnswer: -7417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21634314*l**2 - 5785099 wrt l.\nAnswer: 43268628*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00684 and -1.92.\nAnswer: -0.0131328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1203 divided by -272541\nAnswer: -401\/90847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 - -1) + 0)\/(-13 - -14). Determine y so that 1\/2*y + g - 1\/2*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(405) - (sqrt(405) + -1 + sqrt(405))**2) - sqrt(405))*-6.\nAnswer: -486*sqrt(5) + 19447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2)*1 + sqrt(50) + -2*sqrt(50) - (sqrt(14) + 1*(sqrt(84)\/sqrt(6) + sqrt(14)))\/sqrt(7))**2.\nAnswer: 28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -1\/2*c**6 + 0*c**4 + 0*c**5 + 0*c - 8 + 0*c**2 + 5\/3*c**3. Find the third derivative of l(b) wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7985098 divided by 166?\nAnswer: -48103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19104 is divided by 303?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 28*f - 57 = 0. Sort f, 1\/7, -1\/11.\nAnswer: -1\/11, 1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22 + -17 - 18\/4. Determine o so that -1\/2*o + 3\/2*o**3 - k*o**4 - o**5 + 0 + 1\/2*o**2 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*z + 10. Let h = z + -5. Let o = 1 - -7. Calculate the smallest common multiple of h and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 16*a**2 + 16*a + 20. Let r be l(-12). List the prime factors of (-15)\/(-2)*r\/(-6).\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/479 and -3\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 2*k + 2. Let v be t(-3). Let w = -53626 + 53630. Solve -37 = 4*r - r + v*u, 1 = -w*r + 3*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980577 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/34*1\/(-21)*1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 596 = -0*g - 4*r, -20 = 5*r. Suppose -4*o + 12 + g = 0. Calculate the remainder when o is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 0*o**3 + 0*o - 3*o**3 + (-4*o - 4 + 4)*(0*o + 0*o - 2*o**2) to x*o + u*o**3 + y + q*o**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.565 bigger than -1\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6825)\/(-375))\/(1113\/1590).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10754 and 6?\nAnswer: 32262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 15, -2*i + i - 23 = 5*p. Let r = -14 - -5. Let q = r + 7. What is the closest to 2\/3 in p, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-5)\/(-2))*(-1 + 1). Suppose j = 3*a, 3*g - 2*a - 3447 = a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 + 7*j + 35. Is i(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0742736 to 4 dps.\nAnswer: -0.0743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -124, -593, -1404, -2581, -4148, -6129?\n\"Answer: -4*i**3 - 147*i**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, c: 4, u: 5}. Give prob of sequence yyy.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1303562?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 67065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {w: 2, f: 18}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2160 = -5*d + 5*g, 1987 - 257 = 4*d - 3*g. What are the prime factors of (-14)\/((-7)\/(d\/4))?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55724\/77 - 7728\/11. Is q <= 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4\/2 - 165*u**3\/2 - 80*u**2.\nAnswer: -5*u**2*(u + 1)*(u + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 6*p - 34 + 25\/4*p**4 + 0*p**2 + 0*p**3. Differentiate a(b) wrt b.\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 721962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2079)\/(-252)*72\/(-66)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17a85e62 - 1?\nAnswer: 17a85e61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - s + 3*s = 6, 2*s = -2. Suppose 5*l - 16 = v, n*v + 2*l = 4*v. Suppose -f - 17 = -v*u, -5*f - 2*u - u + 30 = 0. Is f less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -68.0291.\nAnswer: -65.0291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 14. Let d = -1 - 0. Sort m, 4, d.\nAnswer: m, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20132767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egp when three letters picked without replacement from gngyyelep?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 0, -4*t + 0*t - 4*f = -724. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 56*b**2 + 52*b + 45. Determine a(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6083 times 26530\nAnswer: -161381990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6830 and 5?\nAnswer: 6830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*y + 10 + 14*y + 12*y in the form k + o*y and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = 0. Suppose -3*k + 2*d - 31 = b, -4*k - 2*d - 12 = 48. Let w = k - -30. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 2*f + 16, -4*w + 3 = -5*f - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 4*b - 3*b)*(15*b**3 - 54*b**3 + 11*b**3) + 25 - 109*b**4 - 25 - 516*b**4 as y + i*b**4 + f*b**2 + h*b**3 + m*b and give i.\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 57624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**3 - 8*p**2 + 4*p + 12. Suppose x + 11 - 2 = 0. Let o be h(x). Is (-2)\/(-13) + o\/13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108663 <= -108664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 11. Let a(u) = -1. Let j(z) = 40*a(z) + 5*b(z). Calculate j(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/3, -4.198, 0.3, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {d: 1, r: 1, j: 1, v: 2, g: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 89670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 e when four letters picked without replacement from {f: 3, h: 4, e: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -22, -5, 12, 29?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(1300))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 24*f - 18*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 8*f + 14. Is 350\/(-15)*-630 - f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:07 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -21, -9, -8 in ascending order.\nAnswer: -21, -9, -8, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4*n**2 - n - 6. Let p be w(5). Let v = p + -5. Let y(c) = -c**2 + 10*c + 9. List the prime factors of y(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 841, 869, 915, 973, 1037?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224140999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 533 - 533. Solve -4*d = -a - 3, 0 = 5*d - 2*a - r*a - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5626751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374566?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 3. Let u be v(-3). Suppose u*z = 13 + 59. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 17170 = -17079 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 + 7812*d**3 - 217410*d**2 + 938752*d - 1070328 = 0. Calculate d.\nAnswer: 2, 3, 23, 3878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 55905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 + 5. Let d(r) = r**3 - r + 3. Determine 2*d(s) - p(s).\nAnswer: 2*s**3 - 7*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1654*(2 + (-42)\/12). Let x = 4295 - a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/32 and -8 + 4 - 5\/66*3.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 5*o**3 + 1017. Let a(i) = i**2 + 4*i**2 - 4*i**2. Give a(y(p)).\nAnswer: 225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(1\/38). Let s = -3 + -8. Let b = s + o. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 11, u: 9}. Give prob of sequence uvvv.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -2*o**6\/15 + 11*o**4\/24 + 2*o**2. What is the second derivative of c(z) wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16915905?\nAnswer: 3, 5, 125303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*z + 181983 = 31*z - 142173. Is 108 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10044996.80667 minus -0.2?\nAnswer: -10044996.60667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**3\/2 - 2*c. Let m(y) = -2*y. What is k(m(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321385405*f**2 + 117321*f + 97 wrt f.\nAnswer: -642770810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by -136711?\nAnswer: 125\/136711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -15*d - 5. Let g be k(-3). Let i be 38\/10 - (-2)\/g*4. Suppose 5*p + 10 - 187 = -i*s, -4*p = -3*s + 94. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58397\/3 - -19467. Find the common denominator of -35\/3396 and q.\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4591494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76213.48 millilitres?\nAnswer: 76.21348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11601819*g**2 - 109*g - 309431 wrt g.\nAnswer: 23203638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3513, 7028, 10543?\n\"Answer: 3515*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*z**3 + 3864 wrt z.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.05 - 0.05. Let a = -6 + w. Is -0.1 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -9. Let b = 14 - l. Suppose k - 6 = b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:43 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-116))\/(107*(-102)\/158253).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -843, -1698, -2553, -3408?\nAnswer: -4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -723036 (base 9) to base 8.\nAnswer: -1505215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopapopppoppaoo. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172054661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 3072. Let i(f) be the first derivative of -3*f**2\/2 - 3812. What is i(u(g))?\nAnswer: 3*g**2 - 9216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710103311 to the nearest integer?\nAnswer: 26648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**42\/c)\/(c\/(((c\/c**(-1\/3))\/c*c*c)\/c)) assuming c is positive.\nAnswer: c**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 8 - (2 + 1)) + -1. Let d(l) = -l**2 + 6*l + 6. Let q be d(6). Let s = -1 + q. Sort w, s, -3.\nAnswer: w, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 13 = 5*y, -6*q = 2*y - 5*q + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1476*b**2 + 1088*b**2 - 201*b**2.\nAnswer: 2363*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7043 + 7265. What is the remainder when c is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168976 is divided by 584.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -26*-7648\nAnswer: 198848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -15951 in descending order.\nAnswer: -1, -3, -15951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20782 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509001276.\nAnswer: 2, 14683, 25693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -39, -45, -51, -57?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*b + 22 - 22 + 102*b in the form s + d*b and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 592.7 + -593. Let m = -6.01 + 6. Put b, 0.1, m in descending order.\nAnswer: 0.1, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - -2 - -2) - (-9 + 15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 8. Sort -6, w, 1 in decreasing order.\nAnswer: w, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -4) + ((-98)\/21)\/7. What is the second biggest value in -0.08, 4, -1\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (4 + (-3 - (0 + 1))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(95) + sqrt(95) + sqrt(95))\/(sqrt(80)*2) - (sqrt(76)*1*-4)\/(sqrt(72)\/sqrt(2)))**2*6.\nAnswer: 475\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 181253978?\nAnswer: 181253974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 - -1109. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 2*k - 1. Let t(s) = -2*s**2 - 3*s + 1. What is 5*o(p) + 4*t(p)?\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7023333?\nAnswer: 3, 2341111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 + 0)*(1 - 2 + 0)*(-2 + 3 + 4) + 5 - 6 - 7)*(-2*i**2 + 3*i**2 - 4*i**2) in the form w*i**2 + k + p*i and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7936 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t - 5 = 0. Let o = -217 + 221. Suppose -13 = -o*p + 31. Calculate the smallest common multiple of t and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t**3 - t**2 + 22*t + 9. Let g(o) = -4*o**3 + 12*o + 5. Let a(c) = -3*f(c) + 5*g(c). What is the second derivative of a(p) wrt p?\nAnswer: 24*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-102)*-42*2\/10?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -105.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*x**2 + 1259*x**2 - 81*x**2 + 2056*x**2.\nAnswer: 3743*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -244982450 and -244982453 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y - 7*y)*(4 + 0 - 3 - 1 + 2 + 0 + (-1 - 1 + 4)*(-4 + 2 + 1) + 0 + 2 + 0)*(-3 + 3 + 3).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynyyynyyyyyynyynyyyy. What is prob of sequence nnyn?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 162. Let s = 118 - u. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31278*p**3 - p**2 + 0*p**2 - 7 + 31279*p**3 - 2*p**4 + 3 - 3*p to i*p**2 + c + s*p**3 + m*p**4 + u*p and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 8*f**2 + 8*f + 1. Let s be i(9). Let g = -8 - s. Are 0 and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 196*y**5 - 3654308*y**4 + 5220140*y**3 - 1864300*y**2 = 0?\nAnswer: 0, 5\/7, 18643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -48*m + 2954. Let i be w(61). Which is greater: i or -16?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + u - 43 = 0, -5*w - 5*u + 5 = -30. Put 2, -3, w, -2 in increasing order.\nAnswer: -3, -2, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/9 - (-4)\/(-18). Let s be (-2*(-3)\/24)\/(69\/(-184)). Which is the closest to 2? (a) -1\/4 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1076?\nAnswer: 1\/1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 9*a + 575 + 3*a**2 + 4*a - 571 + a - 5*a**3 to p + o*a**2 + j*a + c*a**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**3 - 2*b + 272?\nAnswer: -12*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 60. Find the second derivative of x*q**2 - 6*q**2 + 10*q + 6*q**2 wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/4)*m\/m**(-3\/5))**12\/((m\/(m*(m**0\/m)\/m*m)*m)**(-13))**(-1\/14) assuming m is positive.\nAnswer: m**(1132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -276669*g + 5. Let n(d) = 1383346*d - 26. Let m(h) = -11*a(h) - 2*n(h). Let x be m(9). Suppose 8*b - 5*b = -x. Round b to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 14. Let l(t) = 3*t - 15. Let o(s) = 3*l(s) + 4*x(s). Let k be o(5). Let d be k + (-44)\/16*-1. What is the nearest to 1 in -3, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10085.47 + 10085. What is the fourth smallest value in 5, -5, o, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12298281.\nAnswer: 3, 157, 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (79 - 86)\/(1*-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = 2*i + 52, -4*i = -2*c - 108 + 116 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1488*g + 172001. Determine q(115).\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000123936 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*l = -196*l + 162*l + 3432 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhjh when four letters picked without replacement from {j: 1, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3825*r + 3774*r + 592722. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (-12 + 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27315, 27314, 27313, 27312, 27311?\n\"Answer: -c + 27316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -5 (b) 1 (c) 8.2 (d) -10004 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36639253.\nAnswer: 7, 23, 89, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1923, 1844, 1765, 1686, 1607?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.5 (b) -1 (c) -1\/7 (d) 164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:11 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 24*f + 172. Let m be s(-7). Solve -m*x + 0*x - 6 = 2*c, 23 = 3*x - 4*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*j = c - 6, 0 = -c - 3*j + 8. Let g(n) = n**3 + 5*n**2 - 6*n - 4. Let u be g(-5). Suppose 0*o = -c*o + u. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1788739 = 1065*q - 1713124 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = 0, -5*u - 3*j = -5*j - 3819. Calculate the greatest common factor of 2703 and u.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 34 - 20 - 76*i + 36 + 74*i in the form p*i + d + t*i**3 + u*i**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 702*a**2*x**4 + 2*a**2*x**2 + 10*a**2 + 175*a*x**4 + 90*a*x**2 + 70*a + x**4 wrt x?\nAnswer: 16848*a**2*x + 4200*a*x + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 8*x**2 + 8*x - 4. Give b(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4388791, -17555146, -39499071, -70220566, -109719631, -157996266?\nAnswer: -215050471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*q + 99*q = 252. Let k(v) = -15*v - 131. Let m be k(q). Sort -2, 7, m, 5 in descending order.\nAnswer: 7, 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 3*l + 5. Let h be r(2). Let z(x) be the third derivative of x**4\/24 + 7*x**3\/6 + 6*x**2. Let b be z(-7). Put b, h, 1 in decreasing order.\nAnswer: 1, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) 8 (c) -7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/((sqrt(96) + sqrt(96)*2 + sqrt(96))\/sqrt(8)))\/(-4*(sqrt(5) + sqrt(125) + sqrt(5) + sqrt(5))*-2).\nAnswer: sqrt(7)\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061004 a multiple of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 8 = 4*o, 5*g - 6*g + 2*o - 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -70405 (base 8) in base 9?\nAnswer: -43617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -2 (b) 4 (c) -62 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932.1141 centimeters to meters.\nAnswer: 9.321141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/(((-10)\/(-28))\/5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81 times 0.1052?\nAnswer: -0.085212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + b + 3*b**2)*(27 - 39 + 28) in the form h*b**2 + u + y*b and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -26689 bigger than 2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -20019?\nAnswer: 1\/6673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5006*-1 - 24\/(6 - 0). What is r rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -24*z**3 - 2*z**2 + 3. Let l = -29992 + 29990. Calculate v(l).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -d + 7 - 1, -k - 6 = -d. Suppose 15 = -d*u - 15. Let m = 191 + u. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 9*p + 2. Let z be d(-9). Suppose -z*o = -24 + 8. Suppose -o - 3 = -m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**7\/42 - z**6\/4 - 3*z**5\/4 + 5*z**2. Determine l, given that u(l) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 + 0*f**2)*(0*f + f + f)*(f - 2*f + 3*f)*(-5 + 5 + f).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58768 + 156209. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-210))\/(16\/(-40)). Which is the nearest to u? (a) 1\/3 (b) -5 (c) 4 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -59. Let i = 3.93 - -0.07. Let j = i - 4.3. Put 0.3, j, s in ascending order.\nAnswer: s, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827103 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 20 = -23*p + 19*p, -5*k + 5*p = -75 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 3, f: 1, w: 4, u: 1}. What is prob of picking 1 u and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243506077.\nAnswer: 7, 2027, 228593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 27, -66, 0.3.\nAnswer: -66, -0.6, 0.3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 11*q + 1. Let h(i) = -6*i**2 - 57*i - 5. Let k(b) = -2*h(b) - 11*s(b). What is the remainder when 40 is divided by k(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 16*m - 212. Determine g(-11).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5\/4))**(1\/56)\/(d**2*d**7) assuming d is positive.\nAnswer: d**(-2017\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, 3727 in descending order.\nAnswer: 3727, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9668.128 micrometers in millimeters?\nAnswer: 9.668128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10941 and 18022953.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -38. Let j be 4\/(10\/12*(-6)\/2). Are g and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24647192*k**2 - 93221304?\nAnswer: -49294384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1, -377801, 2, -0.4, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2128, 42\/23, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 26\/8 - (-57)\/76. Solve -4*o + 7*o = 0, f*o = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -108, -361, -614, -867?\n\"Answer: -253*u + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-78 - -1 - 2) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*z, -2*o - 3*z - 2*z + 37 = 0. Suppose -o*w = -196 - 32. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/71686 and -97\/3796?\nAnswer: 1863836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2382 (b) 37 (c) 3 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 + 5. Let k(u) = -u**2 - 1. Let r(i) = -5*k(i) - n(i). Let x(g) = -g. Calculate r(x(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1554 = -21*o + 70*o + 210*o. Let z(y) = 7*y**3 - 6*y**2 - 4*y. Let k(i) = 6*i**3 - 5*i**2 - 3*i + 1. Calculate o*k(s) - 5*z(s).\nAnswer: s**3 + 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2754 + -1585. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -10 (b) -0.5 (c) -0.3 (d) -2\/13 (e) 2\/915\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*25*(-5)\/10. Is d at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5*x + 2480172*d**4*x + 108693*d**2*x + d*x + 6 wrt d?\nAnswer: -60*d**2*x + 59524128*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00110950424 to seven dps.\nAnswer: 0.0011095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -14, -0.3, -2903 in ascending order.\nAnswer: -2903, -14, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 689279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -0.02861\nAnswer: -0.17166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168530\/51 + -3305. Find the common denominator of 18\/21*(-435)\/(-945)*-7 and m.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -491.255\nAnswer: -54.03805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 5*m = -20. Solve -5*o = -m*l, 0 = -0*l + 4*l + 4*o - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715991?\nAnswer: 715991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -1 + 2)*71\/1. What is the greatest common divisor of 142 and i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k + 2*v + 3, 2*v = -4*k - 18. Suppose -4*t - 2*a = 8, 3*t + 2*a - 6*a + 6 = 0. Sort t, k, 4 in descending order.\nAnswer: 4, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 + (4854 - (-4 - -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 98. Suppose k = 2*k + 5*v - m, -v - 10 = -2*k. Suppose k*q - 51 = 4*q. Calculate the highest common divisor of q and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31067253253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7764)\/(-96) - (-2)\/16. Let o = a + -80. Calculate the common denominator of -93\/14 and (-1)\/(-3) - o\/((-90)\/(-245)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aha when three letters picked without replacement from hhaha.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 150193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 4. Suppose -2*l = -3*n + 427, -357 = 2*l + 3*n + 76. Let y = l - -220. Determine m(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*y - 4. Let h = y - 29. Determine s so that 0*s - 2\/3*s**3 + h + 4\/3*s**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200000112322 (base 4) to base 14.\nAnswer: 1185870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-18))\/((-5)\/15). Which is the closest to 0.2? (a) r (b) 0.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + s - 3169 + 3143 = 0, -g = 3*s - 6 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*l**5*t + 634969*l**5 + 384*l*t + 4895*t - 1 wrt l.\nAnswer: 740*l**3*t + 12699380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 4*y**3\/3 - 7*y**2\/2 + 3*y + 140. What is the remainder when 222 is divided by a(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 + 14*t - 17. Let s be n(5). Suppose s*w - 2*w + 4 = 0, w = l - 54. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68)\/sqrt(4)*3 + 2*sqrt(1700) + -5)**2.\nAnswer: -138*sqrt(17) + 9002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 11 - 7 - 6*t - t**3 - 2*t**3 in the form f + m*t**3 + u*t**2 + h*t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 581, 578, 565, 536, 485, 406, 293?\n\"Answer: -a**3 + a**2 + a + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2145 and 9399170.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + -5 + -14 + 18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 3. Let q(i) = 2*i - 104081. Calculate q(n(u)).\nAnswer: 10*u**2 - 104087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 2, z: 1, p: 3, g: 4, t: 2}. What is prob of picking 1 b, 1 z, 1 o, and 1 g?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/97*(5 + -4)). Let w = f + 102. Put 0, 9, w, 4 in increasing order.\nAnswer: 0, 4, w, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:27 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3980 and -25\/4378?\nAnswer: 43780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54626*b - 54629*b - 22 - 5 = 3*x, 5*x = -16*b - 48 - 41 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4 + 4*u**2 - 2*u**3 - 3*u**2 + 8*u**3 - 2*u. Is q(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.4 (b) 0.2 (c) 1\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + (-1)\/4*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1107360 divided by 5\nAnswer: 221472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 91*l**2 + l. Let j be a(-1). Calculate the greatest common divisor of 36 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*r**4 - 29*r**4 - 85*r**4)*(3*r - 2*r + 8*r) + (2 - 2 - 2*r**4)*(-r + 3 - 3) - 2*r**5 + 0*r**5 + 3*r**5.\nAnswer: -1734*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15745 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-425)\/68*28\/70*3\/(-5)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59049681, -59049686, -59049693, -59049702, -59049713, -59049726, -59049741?\n\"Answer: -l**2 - 2*l - 59049678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3463 or 214767\/62?\nAnswer: 214767\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-8))\/(12\/64). Suppose -34 = -4*n - 3*l - 12, -n = -2*l. Let i(o) = -3*o**3 + 2*o**2 - 1. Let z be i(-1). Solve -n*c = q + z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111110111 + 1111100?\nAnswer: -11111101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3 - 1 - 6*b + 9*b. Calculate w(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/560 and 79\/442932?\nAnswer: 8858640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257276878?\nAnswer: 2, 17, 71, 197, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 10 + 26. Let w be -4*4\/(-8)*p. Solve z = -4*u + 5, 7*z = 3*u + w*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8411 is divided by 255?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -303 + 160. Let a = -143.000083 - d. Round a to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 18*z - 12*z. Let y be 371\/35 - z\/5. Solve 0*q = -2*q + y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 8 - 6)*(0 + 3*q + 0) - 3*q + 9*q - 4*q)*(-2*q**2 - q**4 + 2*q**2).\nAnswer: 52*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:15 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -46. Suppose 6*f = -x + 27. Suppose -4*i + 209 = f*v - 63, 2*v + 77 = i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 14. Let o be (2 - h) + -2 - -156. Suppose 0 = -2*j - 3*l + o + 147, l = -5*j + 746. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -898.69083 - -870.6908474. Let p = -28 - o. Round p to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*k**5 + 18*k**5 - 16*k**5 - 2*k**3 + k**5 + 2*k**4 - 2*k**4 + (2*k**4 + 2*k - 2*k)*(0*k + 3*k - 2*k).\nAnswer: 25*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22 + 25)*((-154)\/(-12))\/7 and -37\/950?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1353 - 53 = 13*k. Calculate the remainder when k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 0 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.235\nAnswer: 1.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -35*k. Let l(h) = -18010*h**2 + 9*h - 5. What is l(s(p))?\nAnswer: -22062250*p**2 - 315*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -17 + 65 + 48*w**3 - 17*w**2 - 7*w**2 - 48*w + 3*w**5 - 2*w**4 - 19*w**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -464*m + 472. Let n be v(1). Suppose 2*h + 5*o = 8 + 12, 0 = 2*h + 3*o - 16. Solve 0 = -3*w + w + n, -s - h*w = -20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1046, 4705, 10790, 19301, 30238?\nAnswer: 43601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40020 = -105*d + 197*d. What is the greatest common factor of d and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799387820.\nAnswer: 2, 5, 7, 11, 519083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 12*j - 530. Let o be s(-30). Put o, 3, -5 in decreasing order.\nAnswer: o, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6, 5*q - 5*b + 25 + 25 = 0. Let f be (-6 - q) + -4 + (-1943)\/1. List the prime factors of (-3)\/(-7) - 2*f\/70.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1540)\/12)\/((-14)\/42). Is 13 a factor of o + 5\/(-2)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -241*n**6\/120 + n**5\/12 + n**4\/3 + 4*n**3\/3 + 9*n**2. Let t be q(8). What is t rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 + 4*w - 1. Let u be o(4). Let d = u - 9. Find the third derivative of -3 + 2*c**d + 3 + c**2 wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -92*((-3)\/(-12) + 25\/4). Let m = t + 622. What is the lowest common multiple of 15 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 2*o = -290, 3*y + 29888*o = -2*y + 29890*o + 190 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 12. Let b be f(4). Let q be (-16)\/(-6) + -2*1. What is the third biggest value in b, q, 1\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 772964905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6504 - 6499. Solve 4*q - p*i = -15, -4*q + 11*i + 3 = 12*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4172786 and -89\/310?\nAnswer: 20863930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5 - 3*c + 32 - 2. Let g be z(7). Solve 3*w = w - g*p, -3 = -3*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 53*a**2 + 498*a + 48. Calculate the lowest common multiple of j(-10) and 168.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h - 200*h**2 - 207*h**2 + 607*h**2 - 199*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 9. Let d be o(9). Suppose 4 = m - d*m. Suppose 5*y = -4*p + 70, y - 4 = m*p + 10. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 = -14. Suppose 3 - 27 = -2*c. What is the remainder when 8\/6*54\/c is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/5, -0.5, 4\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 11019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130392073 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/84 and (-7)\/(1134\/1158) - (-18)\/3.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*sqrt(147)*3.\nAnswer: 105*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5*k**2 + 361*f**2*k**2 + 2*f*k**2 - 7*f + 156*k wrt f.\nAnswer: -20*f**3*k**2 + 722*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-16)\/(-20)*(-20)\/(-24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146\/2663451 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 434048188 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49182*h + 57*h**2 - 16*h**2 + 49190*h.\nAnswer: 41*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 23*k. Let c(v) = 11*v**2 + 7*v + 7. Let b(y) = 6*y**2 + 4*y + 4. Let o(g) = -7*b(g) + 4*c(g). Determine o(j(r)).\nAnswer: 1058*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 245 - 3614?\nAnswer: -3347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/3)\/(-1)*(-108)\/(-144).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = f - 1224. Find the second derivative of 155*v**3 - 21*v**4 + 49*v + 21*v - f*v**3 wrt v.\nAnswer: -252*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s\/s**1*s*s)\/s)))**(-49) assuming s is positive.\nAnswer: s**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 15*a**2 - 6*a + 61. Let s be k(-13). Suppose 36578 + s = 12*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(g**4 - g**4 - 3*g**4) + (512 + 576 - 849)*(3*g**4 + 2*g**4 - 3*g**4) + (6 - 6*g - 6)*(-g**3 + 2*g**3 - 3*g**3).\nAnswer: 493*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -7 + -14 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1712008 from 24.\nAnswer: -1711984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.18443nm to meters.\nAnswer: 0.00000005018443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 5*m - 3*i + 272, 4*i + 16 = 0. Let y = 36 + m. Solve 5*n - 2*n - 6 = y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52249120 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3219)\/(-4) + 14\/56. Suppose 4*d - n - 35 = 0. Round d to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 7. Let k be u(6). Let x be (-1)\/((0 + 1)*k). Let t = 6667\/8 + -833. Is t smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + ((-39)\/(-3))\/(-1). Let f = -19 - m. Let q(p) = 9*p**2 + 17*p. Let v = -1264 + 1247. Let y(h) = -3*h**2 - 6*h. Determine f*q(i) + v*y(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o**3 - 60*o**3 + 9*o**3.\nAnswer: -96*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2)*3\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*d + 2*d. Let g(j) = j - 14. Let y be (-6)\/(-21) + (-110)\/(-7). Let q be g(y). What is the greatest common factor of d and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1539607874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0679736889 and 8.\nAnswer: 7.9320263111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 254 (b) 2\/7 (c) 1\/2 (d) 1\/13 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1754503 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 60846*h**2 - 486576*h.\nAnswer: -3*h*(h + 8)*(h + 20274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1957581 greater than or equal to -1957575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 10*d - 26. What is q(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**(1\/8)*m**(1\/7)*m*(m\/m**(-3)*m)\/m*m assuming m is positive.\nAnswer: m**(1369\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/10 - -47\/20. Let d = -4233\/55 - -851\/11. What is the nearest to 3 in d, -2, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2392 and 208840.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 50, 98, 154, 212?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/11 + 106462340*n**2\/11 + 1416778623322104*n\/11 - 2833557672493584\/11.\nAnswer: 2*(n - 2)*(n + 26615586)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 1, 0.2, -53, -2, -949 in descending order.\nAnswer: 5\/3, 1, 0.2, -2, -53, -949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let y(o) = -188463*o. What is k(y(p))?\nAnswer: 188463*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = w - 3*c + 3, -5 = -c. Let j = -258 - -506. Suppose -4*m + 5*v + j = 73, 3*m - 137 = -2*v. Calculate the remainder when m is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -35*n**2 + 2*n - 4. Let y be x(2). Let a = 249 + y. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 26*n**2 - 16*n - 39. Let c(b) = b**3 - 13*b**2 + 8*b + 19. Let k(z) = 13*c(z) + 6*x(z). What is the hundreds digit of k(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9828 divided by 12\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k + 0 - 91*k**2 - 2 + 94*k**2. Let x be y(-1). Suppose -2*r + 45 = 2*r - 5*f, -x*r + 3*f = -33. Calculate the common denominator of r and 7\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-10\/9)*g\/(g\/g**(-17)*g))\/(g**(3\/5))**(-10) assuming g is positive.\nAnswer: g**(-109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 672560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**3 + 2*a**2 + 4*a**3 + 0*a**2)*(-6*a + 13 - 13).\nAnswer: 12*a**4 - 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5348 - 5343. Let h(d) be the second derivative of 1\/10*d**4 + 2\/5*d**2 + 1\/100*d**i + 0 + 3\/10*d**3 + 11*d. Factor h(x).\nAnswer: (x + 1)**2*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4791, -9967, -15145, -20325, -25507?\n\"Answer: -h**2 - 5173*h + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4622.971 litres to millilitres.\nAnswer: 4622971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 2*i)*(-2*i**4 + 3*i**4 + 5*i**4) - 2*i**5 - i**4 + i**4 - 2*i**5 + 2*i - 2*i.\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -895 - -922. Is 109\/4 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 15*t**2 + 72*t + 1075. Let i be l(-15). Let u(a) = -a - 1. Let d(k) = 74*k - 5. Calculate i*u(s) + d(s).\nAnswer: 79*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-1512273)\/186*1\/(14\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6)*k)\/k**(-3\/7)*(k**(7\/3)\/k)\/k**(2\/3) assuming k is positive.\nAnswer: k**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 10*f**2 + 14*f - 12. Let c be d(-6). Solve c*a = 31*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, p: 4}. Give prob of picking 3 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-14 + (-4540)\/(-1064)) - (864\/(-171) + 5)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6736080 and 20400?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -141623?\nAnswer: -141625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.784945ml?\nAnswer: 0.004784945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Let p be -1*(-4 - 34 - a). Suppose 45*q - p*q = 44. Solve 0 = 5*b + 3*y - q, -8 = -7*b + 2*b - 4*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 47 = 16*v. Suppose 3*k = 5*k - 10, -v*c - 4*k + 542 = 0. Is c a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g**2 - 12*g - 6. Let u(f) = -f**2 - f. Let d(c) = b(c) - 12*u(c). Find the first derivative of d(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14567624 and -73018187?\nAnswer: 58450563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2908 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*216951.2.\nAnswer: 108475.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236738*a + 217956 with respect to a.\nAnswer: -236738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehee when four letters picked without replacement from {e: 8, h: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tenntentetn. What is prob of picking 4 t?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133212 (base 4) to base 3.\nAnswer: 2202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88154660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*f**2 - 201*a*f**2 - 11*a*f + f**2 - 2*f + 327 wrt a?\nAnswer: -4*a*f**2 - 201*f**2 - 11*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26477299 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-6)*(-136)\/(-238))\/(-14*2\/48)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 8. Let i be t(6). Suppose 8*r - i*r = 48. Let m(y) = y - 7. Let k be m(15). What is the greatest common divisor of k and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -m - m. Suppose -929*d = -923*d - 9582. Suppose -541 + d = 44*y. Calculate the highest common factor of y and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 845, 3383, 7611, 13529, 21137, 30435?\n\"Answer: 845*x**2 + 3*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-25 + 8 + 3 - -11 - -85)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78429 less than 1000.1731?\nAnswer: -77428.8269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110.00000177 - -110. Round k to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18029 * 15788.\nAnswer: 284641852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 20 - 20 as q*u + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0 + 0)*(3*u - u + u) - 7*u**2 + 2*u**2 + 4*u**2 + (-2*u - 3 + 3)*(0*u + 0*u - 2*u) - 3*u**2 - u**2 + 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*z + 28*z - 10. Suppose 0 = -2*l + z*l - 328. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.4 in -0.2, -1, 14\/3, 0.046?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 412.3278.\nAnswer: -1236.9834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2*sqrt(704))*6)**2*4 + (sqrt(704)*2)**2*-4 + sqrt(704) + (sqrt(704) - (-6*1*sqrt(704))**2).\nAnswer: 13840*sqrt(11) + 370192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 139\/9 (b) 4.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588 and 15413412?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75128468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + 31. Suppose f = -3*u - 2*f + 180, u = -4*f + a. What is the highest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -594285 + 12479987\/21. Find l such that -6\/7*l**2 - r*l**4 - 2\/3*l + 20\/21 + 2\/3*l**3 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccee when four letters picked without replacement from {e: 3, c: 12, t: 1}.\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-1054)\/3)\/(-62))\/(4*(-3)\/(-72))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/25 - 8\/(-20) - -478 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*n - 56, -n = -12*z + 13*z - 56. Let j = z - 58. Put 0, j, -5 in ascending order.\nAnswer: -5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)*1 + 3*sqrt(65)*2 + sqrt(65))\/(4*(2*3*sqrt(720) - sqrt(720))).\nAnswer: sqrt(13)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*i = 0, -2*o + 42 = i + 14. Let d be ((-27)\/o)\/(1\/(-4)). Suppose 75 = d*s - 4*s. Solve q + s = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1942, -3887, -5834, -7783?\n\"Answer: -o**2 - 1942*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*x + 13*x**3 - 13*x**3 - x**3)*(x + 0 + 0 + (2*x + 0*x + 0*x)*(5 - 2 - 7) + 5 + 2*x - 5).\nAnswer: 5*x**4 + 365*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5387670, -5387671, -5387672?\n\"Answer: -r - 5387669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 797370 and 3570?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1657 + 1777. What is the greatest common divisor of z and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3646351\/54 - -67523. What is the common denominator of a and 36\/11?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11120306 is divided by 7292.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 2*j**2 - 9*j - 4. Let d(x) = x**3 - x**2 - 5*x - 2. Let c be (-12)\/78 - (-50)\/(-13). Let s(p) = c*a(p) + 7*d(p). Calculate s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1692 (b) -1\/7 (c) -2.649\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 13 = -5*k + 10, 0 = -3*h - 4*k + 13. Let q be h\/3 + 7\/3. Let i be 1 + -1 - q\/(-3). Which is the third biggest value? (a) 4 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n - 9. What is x(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or 351?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 39. Suppose -324*p - 2310 = -434*p. What is the remainder when x is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91303\/12 + 7609. Which is the second smallest value? (a) t (b) 3 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (4 - (-7 + 439)). What is s rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 59. What is the remainder when 33 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13\/((-3)\/(-18)*(-5 + 7)) is divided by (-5)\/((3\/(-2))\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27743625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27\/17 (b) -0.5 (c) 15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*o - 103 + 7, 5*o = -4*h + 151. What is the highest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*q - 3*q + 3, 4*q - 3*j - 4 = 0. Let g be (-9 + q - 0) + 2. Let x(k) = k**3 + 8*k**2 + 10*k + 8. Is 5 a factor of x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-5))\/8*-1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -631*g**5\/10 + 845*g**4\/12 + 1605*g**2 + 1. Find the second derivative of a(k) wrt k.\nAnswer: -7572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k**(-3\/2))\/((k**(-3)*k)\/(k\/(k*k**(1\/5)\/k)*k)))**11 assuming k is positive.\nAnswer: k**(253\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 7*q**4\/2 + 216*q**3 - 2959*q**2 - 5544*q - 4745\/2 = 0?\nAnswer: -73, -1, -5\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = j + 16. Let p(a) = -2*a**3 - 7*a**2 - 4*a + 3. What is the remainder when j is divided by p(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 289921403 and 23.2?\nAnswer: 289921379.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*z**3 - 2 + 7*z - z**4 - 4*z + 4 - 52*z**3 - 3*z**2 to the form a*z**4 + m*z + u + y*z**2 + k*z**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-455)\/210))\/111.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -585\/76 smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-241 - 184 + 212)*(1 + 3*z - 2 + 0).\nAnswer: -639*z + 213","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i = -56*i + 4*i. Let p(h) = 2*h**2 + 2*h + 6. Determine p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-54))\/(((-4)\/36)\/1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - b - 6, a + 3*a - 5*b = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 56 = 54. Let c(x) = x**3 - 2*x**2 - x + 4. Suppose 3*i + 0*m = m + 10, 5*i = 5*m + 20. Let b be c(i). Solve o*w = b, -5*a + 10 = 2*w - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6a4 (base 12) to base 6.\nAnswer: -500324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 458, 491, 548, 629, 734, 863, 1016?\n\"Answer: 12*w**2 - 3*w + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 4*d. Suppose -4*z - 4 + d = 0. Is (0 - 1)\/(z\/149) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 999.2085t?\nAnswer: 999208500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from rrwniwwiwwiwwnr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -2\/11 (c) -216 (d) -1\/5 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 29*s - 205. Let h be (6 + -5)*-30*(-3)\/(-6). Let z be b(h). Which is bigger: 8 or z?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/13 (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*m = 3*t + 24, 0 = -2*t + 4*m + 8. What is the common denominator of (2\/(-18))\/((-4)\/(-498)) and 6\/45*-213*1\/t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 + -744. What is a rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*g - 32, -7*g - 26 = -3*n - 5*g. Let c = 7 - n. Let x = -6 + 4. Put -3, x, c in ascending order.\nAnswer: -3, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(17) + 3 - sqrt(17)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242\/3 + 46\/3*t**2 + 286\/3*t + 2\/3*t**3.\nAnswer: 2*(t + 1)*(t + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 46*i + 4. Let n be r(0). Sort -37, n, 0, -4 in decreasing order.\nAnswer: n, 0, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-225)\/6 + (-2)\/4. Let v be (10\/25)\/(t\/(-10)). Which is the nearest to 1? (a) -2 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5238 - -80?\nAnswer: 79.4762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5945, -3713, 9, 5221, 11923, 20115?\nAnswer: 29797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.082015 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/4530 and 181\/90?\nAnswer: 13590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143367 - 671?\nAnswer: 142476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4 + 1662*c**3 + 3442*c**2 - 91518*c - 93296 = 0.\nAnswer: -8, -1, 7, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784 is divided by 581?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1756567*s**3 - 317348*s**2.\nAnswer: 10539402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Suppose -1 - 5 = z. Let l be ((-3)\/2)\/((-3)\/48*z). Let u(f) = -2*f**3 + 4*f**2 - 2. Give l*v(j) - u(j).\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -239 + 270. Let s be (-11)\/110 + i*1\/10. Let r(m) = 3*m**3 - m**2 - m - 1. Let v be r(-1). Sort s, v, -2, 4 in decreasing order.\nAnswer: 4, s, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h - 20591*h**3 - 10 + 8 + 20597*h**3 - h**2 in the form v + g*h**3 + c*h**2 + m*h and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44413604 is divided by 1282?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 8:42 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n. Let x(f) = -5*f + 0*f + 3*f. Determine x(r(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i + 70*i + 240 = 0. Is i bigger than 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 11. Let a be m(-4). Suppose -5*t - 6 = 3*s + 7, 5*s - 35 = a*t. Which is smaller: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -25, 15, 93, 221, 411, 675, 1025?\n\"Answer: 2*h**3 + h**2 - 3*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + 4. Suppose -4*q + 23 = -3*n - 0*n, -2*q = -3*n - a. Find the second derivative of 2*k**2 + k - 6*k + 0*k**2 - q*k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35, 56, 65, 56, 23, -40, -139, -280?\n\"Answer: -x**3 + 28*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6079, -6094, -6119, -6154, -6199, -6254, -6319?\n\"Answer: -5*v**2 - 6074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.079 (b) 146 (c) 2\/5 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1, 13922, 0, 3 in decreasing order.\nAnswer: 13922, 5, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 6:15 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 1289, 5\/4, 0.014?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -22*w - 35*w - 14*w. Let r be g(5). Let z be r\/(-90) - 0 - 4. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-309)\/9 - -16)*(-13)\/((-975)\/(-135))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234658.\nAnswer: 2, 117329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 7*s. Let v(t) = t**2 + 2*t - 8. Let b be v(-5). Let q be x(b). Solve q = -3*w - 5 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.4 + 16.3. What is the nearest to w in -2\/5, -2, -3, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-27)*(-11)\/(-44)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 128*f**2 + 1882*f - 45. What is k(-17)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129962.\nAnswer: 2, 7, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/2 + (756\/(-42))\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3\/2 - 196855*f**2\/2 + 968748060*f + 968846490 = 0. What is f?\nAnswer: -1, 19686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29549 - 17934. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 + 3*h**4 - 7*h**4 + 4 + h**4 - 1 + 1 + (-2 + 0 + 1)*(-2*h**4 + h**4 - 2*h**4).\nAnswer: 3*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -146. Let u = 63 + g. Let l = 5.6 + -6. Put -4, u, l in ascending order.\nAnswer: u, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(153) + sqrt(153)))\/(sqrt(108)\/(sqrt(84)\/sqrt(7) + sqrt(12))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 24*m - 3. Let l(b) = -20*b - 4. Determine 6*l(f) - 5*o(f).\nAnswer: -5*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -537, -444, -355, -270, -189?\n\"Answer: -2*k**2 + 99*k - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2145\/7504 + -1\/7504. Suppose -5 = -2*g - 3*g. Which is the nearest to w? (a) g (b) 1\/3 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(-5)))\/((p**(1\/7)*p)\/p)*p**(1\/2)\/(p*p**(-2\/7))*((p*p**(2\/7))**(1\/49))**24 assuming p is positive.\nAnswer: p**(2931\/686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4270603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.304 take away 294213?\nAnswer: -294215.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/17 and -49\/11255.\nAnswer: 191335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 89999401128.99.\nAnswer: 89999401129.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025493 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.60880414 and 350529.\nAnswer: 350528.39119586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 38*w**2 - 30*w + 3743. What is v(35)?\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3913, 4443, 4973, 5503, 6033?\n\"Answer: 530*w + 3383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q - 6. Let c(d) = -d + 1. Let k(p) = -6*c(p) - s(p). Let y be k(3). Let v = -2933\/36 - -333\/4. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - 3*b + 5*b - 4*b + (9*b**2 + b**2 - 12*b**2 - 34*b**3)*(3 - 1 + 1).\nAnswer: -98*b**3 - 6*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 296 + 4 = 0. Let s = -85 - y. Is -10 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 1:30 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**0\/b)**(2\/11)\/((b\/(b*b\/(b\/b**0)))\/(b**(-2\/33)*b))*(b\/b**(-3))\/((b**(2\/7)\/b)\/b*b)*(b\/((b*b**9\/b)\/b))\/b**(-3) assuming b is positive.\nAnswer: b**(424\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/960 - q**5\/40 + 9*q**4\/64 + 81*q**3\/8 - 899*q**2 - 1. Determine i, given that x(i) = 0.\nAnswer: -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68902462 rounded to the nearest one million?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39812, 39077, 38342?\nAnswer: 37607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 62*r + 566. Calculate d(54).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 24980.\nAnswer: 24980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1085*b**3 - 47*b**4 - 1085*b**3 + (-b**2 + 0*b**2 + 2*b**2)*(b**2 - 4*b**2 + 4*b**2) + (-b + 0*b - b)*(-5 + 5*b**3 + 5)*(-4 - 2 + 1).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2764535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3746324.5 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.534864 * -5.\nAnswer: 7.67432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j = -925*j + 33796 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-3))\/((21\/(-10))\/7). Find the third derivative of 11 + x*d**5 - 8*d**5 - 11 - 8*d**2 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -0.02, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.2 and -0.1?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {j: 14, b: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.01\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) 0.018 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191 + -3995.\nAnswer: -3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 - 3)*(-2 + 2 - k)*(15*k**2 - 14*k**2 + 15*k**2 + (0*k + k + 0*k)*(6*k + 3*k - 5*k)) to m*k + c*k**2 + d + j*k**3 and give j.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*o - 573 = 0, 3*r = -0*o + 4*o - 323. Let g = r + 1357\/12. Let s = g + 1\/4. Is s smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 372 = -5*p. Let w = p - 178. Let y be (1 + -3)*-1 - w. What is the greatest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22247465 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -7.1.\nAnswer: -0.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23250308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*27\/(648\/192).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*k - 185*k + 510 = -80*k for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320205.2 months to centuries.\nAnswer: 1100.171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (8 - 2 - 2) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**3 + p**2. Let i be v(-1). Solve -2*f + 4 = -i*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 3671941, -10 in decreasing order.\nAnswer: 3671941, 3, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = -2*t - 3, 2*t - 2 = 0. Suppose 10*r - 3*r - 14 = z. Suppose 2*b = 4*x + 8, 5*x = b + r + 9. Calculate the highest common divisor of 224 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/((1872\/(-13))\/16)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -224 - -224. Solve a*q + q = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 1, b: 2, n: 1, c: 4}. What is prob of sequence nmpb?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 79365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.78, 3, 18\/35, -2\/127, 0.04 in increasing order.\nAnswer: -1.78, -2\/127, 0.04, 18\/35, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5)*10\/(-4). Let l = -523 + 518. Suppose -o - 5*m = 32, 3*m + 14 = -4*o - 12. Sort o, y, l, -1 in increasing order.\nAnswer: l, o, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 8*h**2 - 5*h - 10. Let o be c(6). Suppose 3 = 33*q - o*q. Solve 3*s + q + 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16360 and 7362.\nAnswer: 147240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/4*2760\/13110*(81\/(-30))\/(-1)?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 1. Let d(p) = 7*p + 3. Calculate 6*d(z) + 11*n(z).\nAnswer: -2*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 9)\/(-5) - -47. Let g = b + 1. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1179 + 1063.3. Let u = g - -111. Round u to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1067075 to 4 dps.\nAnswer: 0.1067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(228)\/((sqrt(12) + sqrt(48))*1))**2 + 0.\nAnswer: 55\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let b = 1.368 - -0.332. Let v = b + -1.9. What is the second biggest value in -0.4, v, i, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 10:41 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4102 + -10?\nAnswer: 4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*c + 39 = 0, -25 = 4*m - m + 4*c. Let p = 208 - 142. Let l = m + p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/7, 0.1, 99.4 in decreasing order.\nAnswer: 99.4, 0.1, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i + 15*i - 8*i. Let d(q) = 0*q - 43298 + 2*q + 43298. Calculate d(w(o)).\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.15 + -4.1. Let j = -0.05 + k. What is the second biggest value in j, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1040 and 25666498?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/6 - 2\/(-3). Solve 0 = -l - 3*l + 3*g + b, -2*g = l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - y - 0*y + 14, -5*p + 4*y = -52. Let b = 7 - p. Let m = -4.138 - -0.138. Put 4, b, m in increasing order.\nAnswer: b, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) -4 (c) 11\/530 (d) 0.3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -35.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 101*h - 103. Let i be n(1). Let t = -6 - -9. Suppose t*k = 2*b - 2*k + 30, 3*b = 4*k - 31. Is b less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 + -44 - -4) + -26?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*k + 23. Let l = -20 - k. Let z = -20 - l. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 g when three letters picked without replacement from {o: 4, g: 5, e: 8}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 3*r + 5*r - 2*r. Let z(f) = 93*f**2 - 48*f**2 - 47*f**2. Give z(x(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/(-21) - (-4 + 0). Let b = -6 + 4. Which is greater: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4359024.\nAnswer: 2, 3, 30271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.783*4.\nAnswer: 79.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6605323861.56 and 3.2.\nAnswer: 6605323864.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137\/2 + 70. Let j = 0.8 + -5.8. Let a = -4 - j. What is the closest to a in 2, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -417\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*(1*sqrt(22) + sqrt(22)))\/(2*sqrt(288)))*2.\nAnswer: -2 - sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -153. Let n = 1396\/15 + k. Let w be (-1 + 3 - 3)*0. Is w smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -184640 and -72.\nAnswer: 13294080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - c - 5 = 0, -7 - 3 = 2*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-200)*-5*-3*25\/435?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108900926?\nAnswer: 2, 3, 7, 8800801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -f897 (base 16) to base 14\nAnswer: -19299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2104 > -2107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8982 + 5239 = 34*z - 68139. Calculate the remainder when z is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2945)\/50)\/(-19))\/(2\/4*(-20)\/(-50))\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 - 95. Calculate the remainder when 20 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 361, 5, 3, 127, -2, -3 in descending order.\nAnswer: 361, 127, 5, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18)*-5*(-237)\/1185?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 1. Let n be z(2). Suppose n*k + 2*d + 9 = -d, 3*d = -k - 1. What is the units digit of (-10)\/k*2\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/120 + z**5\/12 - 7*z**4\/24 - 3*z**3\/2 - 6*z**2. Calculate u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4711*g + 298944 = 2887*g - 3634*g - 6998*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9035 - 8763. What is the greatest common divisor of 6086 and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-28)\/4 + 7 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 36*u**3 + 7*u**2 - 7*u - 8. Let p(t) = -20*t**3 - 4*t**2 + 4*t + 5. Let q(i) = 4*j(i) + 7*p(i). Let f(b) = -3*b**3 - 2. Calculate -6*f(r) - 4*q(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**3 - 2*a**2 + 5*a - 2. Let s(l) = -l**3 + l. Let g(r) = -3*s(r) + t(r). Determine g(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6381 is divided by 2086.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31.0058 times 1.5\nAnswer: 46.5087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 8:17 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 22*s**2 + 46*s + 49. Determine l(-20).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28258537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 + -59. Let c = 115 - u. Sort c, 0, 48 in descending order.\nAnswer: 48, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 797, 3249, 7357, 13127, 20565, 29677, 40469, 52947?\nAnswer: 67117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -459\/5 - -92. Suppose 3*n - 5 = -2*n. Let j be ((-2)\/(-6))\/(n\/6). What is the third smallest value in v, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23899823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1306185, 2612440, 3918693, 5224944, 6531193, 7837440?\n\"Answer: -h**2 + 1306258*h - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. What is the second biggest value in w, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 768923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 36. Give m(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -4 + (0 + sqrt(720) - sqrt(720)) - ((sqrt(720) + sqrt(720) + 2 - sqrt(720)) + 2)) + -3*(sqrt(720) + 1 + 5 + (6*(sqrt(720) + 0))**2).\nAnswer: -77786 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9)\/((a**4*a)\/a)*a*a*a**(-1\/10)*a**(-11) assuming a is positive.\nAnswer: a**(-221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 11 - (246 - 248)) + (0 - 29).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(119) - (sqrt(119) + sqrt(119)*1)) - ((sqrt(119)*2 - sqrt(119)) + sqrt(119))*-6)\/(((sqrt(77) - sqrt(77)*-2)*2 - sqrt(77))\/sqrt(11)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffvuvfdgfvvf. Give prob of sequence ff.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let g(n) = 1708820*n - 14706. Let p(m) = 8854*m - 76. Let r(c) = 2*g(c) - 387*p(c). Give r(i(v)).\nAnswer: -8858*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - 5*o**3 + 4*o**3)*(2*o**2 - 9*o**2 - 156*o - 153*o + 300*o).\nAnswer: 7*o**5 + 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1005282980.99999905 - -1005283028. Let m = 47 - c. Round m to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3 + 240*j**2 - 6954*j - 14884 = 0.\nAnswer: -2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 4. Let d = 3 - -1. Let v be h(d). Let c = 9 + -5. What is the nearest to v in c, -3\/2, 5\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*i - 527 = 0, 2*f - 2*i = 3*i + 241. Suppose -4*r = 3*l - f, -4*r + 26 = 5*l - 94. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 798763\/48 + -16642. What is the common denominator of z and -7\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 71 = -3*s - 5, -4*s + 74 = -2*w. Let a be 47\/s + 6\/(-8). Let 4\/5 - x**2 - a*x = 0. What is x?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 15*x**3 - 2*x - 1. Let q be y(-1). Let w = 16 + q. Suppose -1 - 71 = -w*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -32\/19 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -204 greater than or equal to -203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express y - y - 2*y + (1 - 5 + 2)*(2*y - 3*y + 3*y) + y + 2*y - y - 3 + y + 3 - 119*y - 113*y + 50*y - 190*y in the form x*y + z and give x.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1347 + -1347. Solve -3*b - 5 = 4*c, b = -4*c - g*b + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**4 + 61*r**3\/5 - 32*r**2\/5 + r\/5.\nAnswer: -r*(r - 1)**2*(30*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8411611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - -0.04. Let a = 13 + -20. Let u = 12 + a. What is the biggest value in t, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980662361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 5. Let v(k) = 5*k - 4. Let g be (-38)\/(-8) - 1\/(-4). Suppose -g = -4*s - 33. Calculate s*v(y) - 6*n(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -6. Suppose 0 = 2*x - j - 3, 3 = x - 0*x - j. Solve x = -5*h - m - t, -h + 0*m = -5*m - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)\/c)\/c*c**1\/c)\/(c**5*c**(-3\/8)\/c) assuming c is positive.\nAnswer: c**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**2 - 71*l + 39. Let a(s) = 30*s**2 - 212*s + 116. What is -3*a(c) + 8*t(c)?\nAnswer: -2*c**2 + 68*c - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 10. Let p(o) = -59*o - 44. Let r(t) = -60*t - 44. Let g(i) = u*r(i) + 6*p(i). Let f be g(-26). Round f to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v. Let l(g) be the first derivative of 7*g**3 - 74. Determine l(f(u)).\nAnswer: 525*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1662 divided by 124\nAnswer: -831\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4738416.00547 + 4738039. Let h = 377 + x. Round h to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 34 - -78 - -46?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 2*x**2)*(-2*x + 2*x + 2*x) - 607*x**3 + 2 - 3 + 642*x**3.\nAnswer: 33*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854891550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 25375*o - 2. Let n(m) = -14*m**2. Determine p(n(u)).\nAnswer: -588*u**4 + 355250*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 5*d - 15. Calculate x(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m**2 + 2*m + 1. Let q(g) = -46*g**3 - 10*g**2 - 12*g - 11. Give q(z) + 6*x(z).\nAnswer: -40*z**3 - 4*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3682 to 2 dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhnhhxxhn. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.4 (c) 0.2 (d) -19 (e) -2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + ((sqrt(304)*-1 - sqrt(304)) + sqrt(304) - (sqrt(19) - (sqrt(475) + 0)))))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1587148950.41 from 27.\nAnswer: -1587148923.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(192))*-6*-5 - (4 + sqrt(3) + 1*sqrt(12)\/sqrt(4) + 3)*-4)**2.\nAnswer: 26784*sqrt(3) + 187428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -51733 (base 8) to base 5\nAnswer: -1141332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l**2)*((7 + 0 + 5)*(-3*l - 2*l + 6*l) + 4 - 4 - 2*l).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8047 + 4?\nAnswer: -8043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-104)\/5*(-15)\/2. Suppose -u - 27 = -3*m. Suppose -3*y + m = 19. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 43 + 14. Suppose 0 = -d - 2*d. Let l be (-56 + d + -1)*-1. What is the greatest common divisor of l and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103507700.9 + 0.2\nAnswer: -103507700.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-603)\/13266*(-4)\/5?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.18680792 - 10014.95219208. Let x = 10001.138894 + c. Let b = x + 14. What is b rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - l = -3*l - 6, -3*i = 4*l - 8. Suppose -i*u - 2 + 42 = 0. What is the units digit of (-2)\/(-10) - (-88)\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8 + 21 - 4*q + 14*q + 20 - 6. Determine t(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2. Let u(r) = -r**2 - 4*r - 4. Let x = 14 - 10. Suppose 5*s + 24 - x = 0. Let n(p) = -3*p - 3. Let i(a) = s*n(a) + 3*u(a). Calculate b(i(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -2)*4.\nAnswer: -8 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + 0.3. Let f = v - -3. Let q = f + 1. Sort -0.4, q, 1\/7.\nAnswer: -0.4, 1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000997996526 to seven decimal places.\nAnswer: 0.0000998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 11*k + 8. Give o(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -114 * 0.18458\nAnswer: -21.04212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (8379 - -1) - -1. Let s = -89903159\/10740 - 81\/1790. Let z = f + s. Calculate the common denominator of -69\/10 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -1) + 2\/(-2). Suppose 10*o = -82 + 222. Calculate the remainder when o is divided by (-22)\/a - (-1)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1904 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0\/o)**(-5))**(-5\/6))**(2\/7) assuming o is positive.\nAnswer: o**(-25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10878 and 800828.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 183.23535 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (-4 + (-1 - (-7 + 5))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 6*x**2 - 6*x - 2. Let m be b(-5). Let w be -1*0*(-3)\/(-9). Find the third derivative of w*z**2 + z**2 - z**m - z**2 + z**2 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 2*j**7\/21 + 14*j**6\/15 + 12*j**5\/5 + 31*j + 1. Factor h(x).\nAnswer: 4*x**3*(x + 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25777 and 447?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 55. Solve 3*z - s = -9*l + 4*l, -l - 5*z = -30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37432 is divided by 749.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 285 - -2*(-6)\/(-3). Let f = q + -203. Suppose 9*o = 7*o + f. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*m + 320 = 294, 5*m = -4*z. Solve h = -2*l + 2 - 5, -5*h = -z*l - 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 - 4*k + 4. Let g(y) = 9*y**2 - 9*y + 9. Let b be -3 + 1 - (1 - 4 - 3). Give b*g(w) - 9*z(w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, 5, 2\/15, -0.3, 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 406923.\nAnswer: -1\/135641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*m + 25. Suppose -7 = -2*h + 3*c, 4*h - 3*c = 2 + 21. What is the remainder when m is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(75\/100 + (-10)\/24). Is n < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 89*a**4\/6 + 3*a**3 + 57*a**2\/2 - 76*a + 2. Is j(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2913139.\nAnswer: 5826278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - k - 4. Let h(d) = -4*d**2 + d + 2. Determine -3*h(q) - 2*x(q).\nAnswer: 4*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rahfmamf. Give prob of sequence fa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/27 and (-27)\/9*166\/108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -52?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*o**3 + 2*i*o**2 + 7594*i*o - 1230*o**3 + o**2 wrt i.\nAnswer: -2*o**3 + 2*o**2 + 7594*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 v, and 1 k when four letters picked without replacement from {o: 2, k: 5, v: 2, f: 9, z: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-324)*-162 + 16\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 2, t: 1, d: 2, g: 1, w: 1}. What is prob of picking 1 t, 1 g, and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11898537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 16*p + 32 = 0. Let m(w) = -w**2 - 21*w - 9. Calculate the remainder when m(p) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4717*q + 195291 + 48927 = -1545*q for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - -38. Is 93 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 - -11a2?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -148070, -296149, -444230, -592313, -740398, -888485?\n\"Answer: -i**2 - 148076*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 9879423949 and -27.003.\nAnswer: 9879423921.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6136150 minus -14?\nAnswer: -6136136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-36)\/(-30))*(-20)\/6. Suppose -s - 5 = 0, 3*i + k*s - 833 - 1748 = 0. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25 + (-3)\/(-3)*-1. Suppose 2*i - a = -2*i. Let l(f) = -f**2 + 8*f + 1. Is 6 a factor of l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4864.06375 to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - 62. Let u = 138.6 + q. Round u to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.831997738 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(((-15)\/10)\/(-1)). Solve 10 + 6 = a*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 + 48*k**2 + 8 + 4 - 17*k**2 - 14*k**2 - 11*k**2.\nAnswer: -2*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:58 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 95.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -u. Let d = u + 1. Suppose k + d*k = 2*j, 5*k = j + 6. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49789693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and 0.2.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k - 12, 57 = 5*b - 4*k. Suppose 0 = -2*c + b + 27. Let t = -4 + 7. Solve 3*z - 5*n - c = 0, t*z - 2*n + 3 = -4*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 5 + 0*k + k)*(5 - 7 + 14) as z*k + l and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 343*j**2 + 277*j.\nAnswer: 686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 2046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89466430 is divided by 3313571?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*d**4 + 100200*d**3 - 210*d**2 + 2*d - 6451 wrt d?\nAnswer: -288*d + 601200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*o**3*u**2 + 2*h*o**3 + h*o*u**2 - 2*h*o*u - 4*h*u**2 + 50*h*u wrt u?\nAnswer: 4*h*o**3 + 2*h*o - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from dpmppmmmpmpmd?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -107729712, -107729713, -107729714?\n\"Answer: -l - 107729711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5179 - 5137. Sort 0, 1\/3, k in increasing order.\nAnswer: 0, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14145884 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*724.821\nAnswer: -724.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -1\/2, 37 in descending order.\nAnswer: 37, 5, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 d when four letters picked without replacement from {x: 1, y: 2, k: 4, w: 3, d: 7}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 193, -2, 0, -0.1, -17.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 4*s**2 + 4. Let t(q) = -q - 4. Let l be t(0). Let x be z(l). Suppose -5*r = -2*r - 4*h - 641, x*h = 16. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - b. Suppose -3*g + 13 = -c, -3*c + 31 = -b*c + 5*g. Let d(l) = -2*l + 3 - 4*l**c + 2 - 3. What is d(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 7. Determine b(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.842365 and -3?\nAnswer: -5.527095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 5. Let n be h(-4). Let o = n - 11. Put 5, 0.3, o in ascending order.\nAnswer: 0.3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 381.\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156009 = -506*f + 1643*f + 827*f + 59773 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565 - 287 - 278 + 60*m.\nAnswer: 60*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 252\/24 + (-3)\/(-2). Suppose 0 = 5*i - 2*i - 2*w - 93, 4*w = -b. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*y + 501 - 491, -44*j = -2*y - 492 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 21*i + 2*i**2 - 4*i - i + 21 + 22*i - i. What is t(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4599 and 516537.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 8. Find the second derivative of 16*w + 4*w**4 - 3*w**4 - g*w wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4137100 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 33. Let h(a) = -6*a**3 + 4*a**2 - 3. Let k(v) be the first derivative of 17*v**4\/4 - 11*v**3\/3 + 8*v + 1. What is f*k(z) - 11*h(z)?\nAnswer: -2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -7\/2*f**2 + 11 + 0*f**3 + 0*f**4 + 0*f - 13\/5*f**5. Find the second derivative of c(u) wrt u.\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.1. Which is the closest to 4\/11? (a) -4 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-15))\/(7\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 3, j: 5}. Give prob of picking 4 j.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12114145.\nAnswer: 4\/12114145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(7) + -2)*1*1)**2 + 3.\nAnswer: -4*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496 divided by -5?\nAnswer: 1496\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 334536 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-184)\/(-6)))\/(3\/2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-4421.\nAnswer: 83999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -249724 (b) -4 (c) -2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q = 20*q - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 9, 19, 33, 51, 73?\n\"Answer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*t**4 - 3266*t**3 - 820*t**2.\nAnswer: 2*t**2*(4*t + 1)*(7*t - 410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133436?\nAnswer: 2, 33359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)*(((s\/(s**2\/s)*s)\/s)\/s)\/s*s assuming s is positive.\nAnswer: s**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3450 - 1949 = 85*p - 3089 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*t - 2*u + 13, 6 = 2*t - 3*u. Let n be ((-15820)\/84)\/(1\/(-3)). Is t\/8 + n\/20 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58\/1 + 10\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2\/5)))**0)**(8\/13) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -69*m + 6. Let c(j) = 2*j**3 - 4*j**2 - j + 1. Let l be c(-1). Does 44 divide q(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:07 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 39989.\nAnswer: -1, 2, 39989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 3. Suppose 0*c + 8 = s + c, s = 2*c - 1. Suppose -17 = -4*p + a, 5*a + 15 = s*p + 5. What is the tens digit of m(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - d + 5529 = -6*d, 3*p - 5556 = -4*d. Calculate the smallest common multiple of 6 and p.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -18 + 10. Suppose -g*v + 10 = -22. Solve -3*c - 18 = 5*a - 5, -v*c - a - 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*c + 8860 - 30356, -42986 = -4*v - 2*c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/4 - 55*p**4\/4 + 783*p**3\/4 - 1229*p**2\/4 - 2275*p + 2400 = 0.\nAnswer: -3, 1, 5, 20, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiuucuubbuuccuuu. Give prob of picking 3 c and 1 b.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525812*q - 309*q**2 + 1051581*q - 525769*q.\nAnswer: -309*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 85, 138, 213, 316, 453?\n\"Answer: b**3 + 5*b**2 + 31*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**5*f)\/(f\/(f**(-3\/8)*f*f)))\/(((f*f*((f**(3\/4)\/f)\/f)\/f*f*f*f)\/f)\/f**5))**(-47))**(-6\/17) assuming f is positive.\nAnswer: f**(12267\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - 2*q**2 + 2*q**2 + (9*q - 3*q - 20*q)*(-1 + 5 + 2*q - 2) as g*q**2 + t*q + f and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -178*d + 4787. Give m(27).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 40 = -10*j. Solve 2*k = -8, -8 = j*h - 5*k - 48 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (196 - 196 + 26*z)*(-z**2 - z**2 + 0*z**2 + (-2*z**2 + 3 - 3)*(2 + 2 - 2) + 3*z - 3*z - z**2 + z - 2*z**2 - z) - 4*z**3 - 3 + 3.\nAnswer: -238*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 64*f + 455. Give x(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 990\/(-50) + 5376\/320\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*j = 128, 2*w - 91 = j + 52. What is the greatest common factor of w and 2485?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43080 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 1 + 69 + 33 + -77?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h)**(9\/4)*h**8\/h**(-7) assuming h is positive.\nAnswer: h**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*p - 29 - 19 = 0, 0 = 29*o - 57*o + 23*o + 2*p + 96 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/96 and -85\/4.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -1\/32*x**4 - 7\/16*x**3 + 0 + 1\/32*x**5 + 110*x**2 + 0*x. Factor b(r).\nAnswer: 3*(r + 1)*(5*r - 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.224 - -25.7. Round w to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 791*x**3 + 1714*x**3 + 3 - 14.\nAnswer: 2505*x**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - c**2 + 6*c + 25. Let t be y(-5). Let x = 95 - t. What is the nearest to 2 in x, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {f: 1, c: 3, w: 1, e: 2, h: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 8:07 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10) + -1 + (-8 - -14 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 1360 + 552. Let s = n - 336. List the prime factors of s.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 30*j - 44 = 0. Let u = 278 + -281. Sort j, u, 6.\nAnswer: j, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 2*c**2 - 2 - 4*c**2 + c + 2*c**2 to the form b*c + n*c**2 + t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, n: 1, b: 1, h: 1}. Give prob of picking 1 h and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314461?\nAnswer: 7, 167, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -54 + (18 - 14) + 0 + -14?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/6)\/((275\/(-1980))\/(375\/200)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-56)*294\/28.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 19 = 5*u. Let k(g) = -g**3 + 5*g**2 + 2*g + 7. Is k(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 464*i**2 - 2050*i - 737025. Give f(-465).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*w**6 + 275*w**6 - 8*w**6 - 3*w**2 - w + 10*w wrt w?\nAnswer: 28080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = x, -3*s = 8*x - 3*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -965*-0.11.\nAnswer: 106.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28378 - -97208. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469148?\nAnswer: 2, 19, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510 a factor of 391663350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/12*367983\/(-4158)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/54*3\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*6 + 33. Solve -2*r + x = -2*x + 4, -4*r = 5*x + d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(3*(5 + sqrt(128)*-1) + -2 + -3 + 1 + sqrt(128)))**2.\nAnswer: -79125 + 44000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/5)*x**(-4\/3)*x\/x**(8\/5)*x**(-3\/5) assuming x is positive.\nAnswer: x**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(208)*2)**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89226 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2378, 9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034609847 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 17, o: 1}. What is prob of picking 2 n?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -43*w - 167. Let m = 11364 + -11368. Give v(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1584435 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*p - 10, -5*z - 19 = p - 21. Solve -23*y + 27*y - 26 = p*l, 5*l = -5*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 650 - 427. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/11, -1\/5, -0.8, 2\/3.\nAnswer: -0.8, -1\/5, -0.1, 2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5826 and 1452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055106.\nAnswer: 2, 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(2 + t - 2)*(-2 + 0 + 3)*(7*t**4 - 37 + 37 + (0 + 0 + t**3)*(t - 3*t + 0*t)) + t**5 + t**3 - t**3.\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506907 is divided by 674?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*6\/(-242). Let u = 608\/363 + s. Suppose c = -3*c + 8. What is the nearest to 0 in 2\/3, c, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 9 + -7 + 14 + (-10 - -6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -29. Suppose c*k + 24 = 6*k. Solve -k*h = -2*q - 4, 0 = -5*h - 4*q + 22 + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -64. Let k = 3 - 1. Which is the smallest value? (a) y (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 12 + 58. Let b(o) = o + 20. What is the remainder when b(7) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(176)*6 + 3 - sqrt(176)))**2*-4 + ((0 + sqrt(176) + -2 - sqrt(176))**2 + -5)*-5.\nAnswer: -634891 - 17280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 - 4. Let b be u(5). Let z = 269 - b. Determine k so that -1206*k**2 - 185 - 826*k**4 - z*k**5 + 1296*k - 2150*k**3 - 88 + 57 = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/4699?\nAnswer: -4\/4699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/7 + 3\/7*f**2 - 6\/7*f.\nAnswer: 3*(f - 3)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-20) + 1098\/(-15). Let n = 79 + r. Suppose -15*x + 2277 = -n*x. What are the prime factors of x?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90795946*t + 90795946*t + 52*t**2.\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 31 + 5*v**3 + 31.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*10405170.\nAnswer: 1040517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -23. Let o = -7 + i. Let k = 49 - o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, -266, 5, 2, 3 in increasing order.\nAnswer: -266, -11, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4155 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 31 + 9)*(-6*j - 10*j + 4*j) in the form a*j + w and give a.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 8*f - 88. Suppose o = i + 5*o + f, -5*o - 10 = 4*i. Solve 3*k + 0*k = i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + (-292)\/4368. Let p = 4\/39 + v. Let m be 2\/2 + -2 + 1. Which is the closest to 0.2? (a) 5 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (7 - 3) - 23.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8109 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -n - t, -n + 142*t + 154*t = 295*t + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -866.9 + 866.6. What is the fifth smallest value in -2, l, -1, 56, 3?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.4 minus 15859595?\nAnswer: -15859499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.205 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*62685\/1194\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - -5.9. Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -18, 0, 3 in ascending order.\nAnswer: -18, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01980908527 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/4 + -7\/4. Let s = -7.811 - -7.8. Let d = s + -0.189. What is the closest to m in 0.1, 1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (37 + -33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 3, -319, -5\/3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**8\/1680 - m**7\/630 - 2*m**4\/3 + 10*m**2. Let n(v) be the second derivative of p(v). Determine g so that n(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 332.8315 minutes?\nAnswer: 19969.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2001, 2002, 2003?\n\"Answer: z + 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9141*g + 2255*g + 2249*g + 2175*g + 2209*g.\nAnswer: -253*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 487839.9 millennia in months?\nAnswer: 5854078800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/60 + 86*m**2. Let a(k) = 34*k**2. Give q(a(f)).\nAnswer: -1156*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 1.013, 2?\nAnswer: 1.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 6*m - 159. Let r = 95 - m. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3038 and -6003.\nAnswer: 18237114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 - 8*l + 17. Let v be r(6). Let n(w) = v*w - 20*w + 13*w. Let f(g) = -2*g + 1. Give 3*f(p) - 4*n(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (-10)\/(-5)) + 0. Let w(s) = -69 - c*s + s + 31*s**2 + 68 + 4*s. Is w(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 10) to base 12\nAnswer: -85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 - 830*u\/3 - 172225\/3.\nAnswer: -(u + 415)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3348)\/72)\/31*520\/140*(-7)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 5. Suppose -5*r - q*l + 25 = 0, 1 = -2*r + 4*l - 1. Suppose 0 = -0*k + r*k - 135. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 105*i**3 + 735*i**2 - 1715*i.\nAnswer: 5*i*(i - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6449641?\nAnswer: 11, 457, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 2*d**5\/15 + 3*d**2. Let r(n) be the third derivative of -13*n**4\/24 + 7249*n**2 + 2*n. What is a(r(g))?\nAnswer: 1352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (400\/24)\/(1\/3*-2). Let a be (60\/j)\/(4\/(-20)). Suppose -59 = 5*o + 2*p - 141, 12 = -3*p. What is the highest common factor of o and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -135, 0, -2, 1, 253, 3 in ascending order.\nAnswer: -135, -2, 0, 1, 2, 3, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -3*c + 15, 4*a + 5 = 2*c + 5*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22028078 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2290 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(1614\/(-270) + 6). What is z rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 88 = -78, 4*g = -4*f + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 343 = -4*u + 2*u + 35, 0 = 4*u. What is the remainder when k is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 + x**3\/6 - x**2\/2 - 7*x. Let l(m) = -10*m**3 + 24*m**2 - 30*m - 6. Let f(b) = l(b) - 6*y(b). Factor f(r).\nAnswer: -4*r*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857551 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q - 3. Let b(p) = -1534*p - 20. Give b(h) - 6*d(h).\nAnswer: -1516*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 820471.4 tonnes in grams?\nAnswer: 820471400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + -2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20002378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 323?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4673 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/10 - 4\/10. Let u(d) = -2*d + 2. Let n be u(j). Solve 5*c + 8 = -0*p + 2*p, -3*c = -2*p + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8669 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/60 - (-15)\/(-18). Let o(j) = 11*j - 75*j - 41*j - 4. List the prime factors of o(w).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/9)\/((z\/z**5)\/z)*(z*z*z\/(z\/(z**(-1\/7)*z*z*z)))\/((z*z**(2\/7))\/z)*((z*z\/z**7)\/z*z)\/z*z**(-6\/11)\/z*z**0*z*z**6 assuming z is positive.\nAnswer: z**(6101\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.27 (c) 1280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 5*d - 126. Suppose 0 = 4*p - 19 - 69. What is the lowest common multiple of p and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1912*h**4 - 3*h**3 + 2630*h**2 wrt h?\nAnswer: 45888*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2, 0.3, 1.9, -6\/31?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 37725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 206*u + 17*u + 5*n + 745, -4*u + 5*n = -8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 2. Suppose c - 4*c = 12. Let t be y(c). Find the first derivative of 2 + 2*g**t + 4*g - 4*g wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1702\/14277 - 402588299\/85662. Let o = j - -4701. Calculate the common denominator of -91\/2 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q. Let j(r) = 21584186*r. What is j(n(d))?\nAnswer: 151089302*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2524 - 2510. Let j(k) be the first derivative of k**4\/4 - 13*k**3\/3 - 7*k**2 - 5*k + 40. Calculate j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5077039, 5077040, 5077043, 5077048, 5077055?\n\"Answer: a**2 - 2*a + 5077040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 0.4 (c) -4\/5 (d) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 324.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 86184?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9780 and 9780?\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kknp when four letters picked without replacement from knkopkn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300 (base 6) to base 15.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 s when four letters picked without replacement from tssssotossssssosssoo?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*z**2 - z - 14 + 2 + 9)*(z**2 + 3*z**2 - 3*z**2) to the form x + l*z**4 + o*z**3 + r*z + v*z**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)*s**(5\/9)\/s*s*s assuming s is positive.\nAnswer: s**(172\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {r: 9, h: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 6*y - 8. Let h be o(-8). Let j(i) = i**2 + 11*i - 9. Is j(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from gvbwwwv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 + 8*z + 4. Let k be (2 + 0)\/(-14) - 451\/77. Determine m(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-3)\/(-9))\/((34\/(-30))\/(120\/(-50))).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62\/3 + -431\/21. Suppose 0 = 5*l + 5*k + 10, l + k + 3*k = -17. Suppose -16*s = l*s + 57. Which is the third smallest value? (a) -5 (b) s (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**0)**(-42))**(1\/10))**(-3\/20) assuming q is positive.\nAnswer: q**(63\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -1, -4, 20 in increasing order.\nAnswer: -7, -4, -1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b + 49800 = 80*b. What is the remainder when 341 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 1 + (-2 + 0 + 4)*(6 + 3 - 4))*(0*l**2 + 0*l**2 - 2*l**2) as b*l**2 + a + n*l and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*g - 240 = 47*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*p = 56*p + 66. Solve -p*b + 7*b - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Suppose 5*k = -4*q + 31, -241*k + 238*k + 5*q - 11 = 0. Let x be k + n\/(-2) + (-39)\/45. Which is the smallest value? (a) 0.4 (b) 0.02 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233459436.6 + -0.05\nAnswer: -233459436.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d**2 - 1 - 8*d**4 + 18*d**4 - 7*d**4 + d**3 to the form r*d + a*d**3 + x*d**4 + j*d**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 37\/6, 0.2, 945, 24, -3\/5 in ascending order.\nAnswer: -2, -3\/5, 0.2, 37\/6, 24, 945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2588435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f**2 + 28*f - 9. Let v be d(2). Solve 12*r = v*r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 1\/1 - (-1 - 6). Suppose 0 = -4*h + 3*j - 11561, -518 = 3*h - w*j + 8158. What is the tens digit of 4\/22 + h\/(-88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 971*k - 1931. Give r(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -10*c + 229. Suppose -3*h - 1 = c. Suppose g + 22 = 3*g. What is the second biggest value in h, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1182*g + 4201. Determine k(3).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 294930239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z + 24*z**2 - 41*z + 15*z**2 + 9*z.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 66*v - 2. Let c be l(1). Suppose -44 = -5*f + 4*n + 36, 3*n = 4*f - c. Let g be 11\/88 - (-638)\/f. Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 108 = -3*i. What is the common denominator of -43\/16 and (-42)\/(-4)*(-14)\/i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxtxtxxxxx. What is prob of sequence txx?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1638 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 4671.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwdwdwdwlfdowkld. Give prob of sequence wkfd.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**0\/r)*r)\/r**(-5\/3))**(-27) assuming r is positive.\nAnswer: r**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -60. Solve 0*l + 20 = o*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5486422 plus -3?\nAnswer: -5486425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31426 + 31821.975. Let l = x + -392. Let k = l + 0.025. Which is the third smallest value? (a) -0.2 (b) k (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 + 3*s. Let f(q) = 3*q**2 - 2*q. Suppose 0 = -4*a + 2 + 18. Calculate a*b(t) + 8*f(t).\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -25. Is f <= -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 105681, 211361, 317041, 422721, 528401?\n\"Answer: 105680*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 115\/20 - 44\/(35200\/680)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -88*d + 1 - 752*d - 1 - 31*d. Let o(x) = 2*x. Give y(o(k)).\nAnswer: -1742*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1888*d + 589894 = -6048*d + 4286050 + 3525604. Factor 147*m**3 + 508\/3*m - d*m**2 - 8.\nAnswer: (m - 6)*(21*m - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let k(p) = 655*p**2 - 21*p + 4. Give q(k(j)).\nAnswer: -655*j**2 + 21*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w**3 - w**2 + 11*w. Let n(h) = -2*h + 6. Let p be n(6). Let z = 1 - p. Let j(g) = 3*g**3 - 3*g + z*g - 2*g. Determine 2*i(d) - 11*j(d).\nAnswer: -d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 126 + 8*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.21 * 0.7\nAnswer: -0.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 - 1147 = -92*d + 21*d. Solve 9*o + 63 = -d*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 12033912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p. Let w(a) = 3648009*a**2. What is w(z(y))?\nAnswer: 91200225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = 3*v. Let k be (-222)\/(-24) + 1\/v. Suppose -4*y = -a + k, 4*y - 1 = -2*a + 5. Put 0.1, 3, a in increasing order.\nAnswer: 0.1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1596 divide 72713760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342571 is divided by 3986.\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 - 4. Let u = 18017\/10015 + 2\/2003. What is the fourth smallest value in 0.2, -3, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 + 10*g - 1. Let a(y) = -2*y**2 - 3*y. Determine 11*a(t) + 4*s(t).\nAnswer: 2*t**2 + 7*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-385)\/49 - -5)\/(4\/(-14)). Suppose -3*t + t + 4 = 0. Let r = 3 + t. Solve -3*d + 4*d = 3*j - 16, -3*j + b = r*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2360*y**2 + 19*y**3 + 19*y**3 - 65*y**3 + 29*y**3 as n*y + r + o*y**2 + x*y**3 and give o.\nAnswer: 2360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 2055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**3 - 30*m**2 - 2029*m - 10192. What is w(-5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-496)\/(-93))\/((-336)\/(-882))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 456675 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6759577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 - -369129\nAnswer: 369128.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s + 5 = 18*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 32*w**2 - 191*w - 294. Determine c(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*s = -105, 2*s - 7*s - 49 = -2*q. Suppose x + 4*m = 33 + 1, 0 = -x - 2*m + q. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from xiivfhhifafhxfv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 24*s**2 + 102*s - 13. Determine d(-5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(3\/3 + 0). Let d = 0.1 - -0.1. Let v = 0.4 - d. Which is the second smallest value? (a) u (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -16. Let s = -4 - -2. Let r be s\/h + (-14)\/18. Which is smaller: r or -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2. Let c(k) = -k - 9. Let r be c(-9). Let l(f) = 6 - 6 + 2*f + r*f. Give l(a(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42624932*o**3 - o**2 + 2*o + 762995 wrt o?\nAnswer: -255749592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 2*c + 25 - 4 - 2 as a*c + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12853 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 4*r - 5. Suppose z - 1 + 5 = 0. Does 9 divide i(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/6 + 2*k**3\/3 + 5*k**2. What is d(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 143049504*c**2 - 286098999*c + 143049498.\nAnswer: -3*(c - 47683166)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.5. Let q = 5 - 4.7. Let c = q - s. Which is smaller: 1\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = y - 237 - 38, 0 = 2*y - k - 606. Solve 0 = 47*a + y + 77 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 49*c**6\/360 + c**5\/120 + 5*c**3\/3 - 7. Let d(n) be the third derivative of f(n). What are the prime factors of d(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 43134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 0 - 20 = -4*i, 0 = 5*s + 5*i + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/436 and 3\/83821?\nAnswer: 335284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 116 - 4 = 0. Suppose -s = 3*p - 43. Suppose 0 = 4*l - 16, -2*w - 2 = p*l - 8. Is -10 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 3*k**3 + 3*k + 2 - k**2 + 4*k**3 - 5*k**3 in the form d*k**3 + j*k + z + t*k**2 + p*k**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 h, and 1 v when four letters picked without replacement from {l: 2, h: 1, o: 1, v: 1, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 7}. Give prob of picking 1 o and 2 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16807, -16806, -16805?\n\"Answer: l - 16808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 3*t - 3. Let v be m(-5). Let y be (-2 - -1) + v - -3. Calculate the remainder when 65 is divided by 153\/6*6\/y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + v + 2. Let f(d) = d. Determine -f(i) + y(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4315 is divided by 223.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and 43 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.4. Let m be (64\/40)\/((-1)\/5). Let x be 34\/(-9) + m\/36. Which is the biggest value? (a) x (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136155705 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1282.7 - 1283. Let m = 0.4 - -1.6. Let w = -3 + m. What is the second smallest value in 0, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -236, -501, -920, -1523?\nAnswer: -2340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, n: 1, l: 2, g: 12}. What is prob of sequence lln?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350469 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1, -5 in decreasing order.\nAnswer: 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.95 + -34.06. What is g rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.046 times -0.126\nAnswer: 0.005796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17561 - -6278?\nAnswer: 23839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 375330051 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 26*g. Let p be o(-6). Suppose 0 = 4*f + 83 + 321. Let b = f - p. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.435 and -308293580277.\nAnswer: -308293580274.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 640\/11. Put 5, -0.3, k in ascending order.\nAnswer: -0.3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 2}. Give prob of sequence pzpz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 168 = 4*x. Let w = -16 - x. Which is the second smallest value? (a) w (b) 96 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/(-273))\/((-3)\/7). Which is the closest to -0.1? (a) 5 (b) 2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464710 is divided by 3802?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 27642.12464 to zero decimal places.\nAnswer: 27642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 2. Let f be o(3). Let r(l) = -l**2 + 32*l + 1007. Let j be r(40). Suppose f*y = j - 2687. Round y to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4383*o - 57115. What is a(-13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(200) + sqrt(200)))**2 - ((sqrt(200) - sqrt(200)*-2) + sqrt(200) + -4) - ((1*sqrt(200) + 1)**2 + -1).\nAnswer: -1060*sqrt(2) + 19829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30777708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 8 = 3*r. Suppose -r*k + 9 - 3 = 0. Let 0*p - 2*p**2 + 2\/3*p**k + 8\/3 = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4331 and 11644?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*s - 0 - 2, -4*d = -4*s - 24. Let n(k) = -8*k - 4 + 9*k - 2*k + 16. Let y be n(5). Solve 0 = -y*q + d*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27131*s**4 - 6*s - 1083 wrt s?\nAnswer: -325572*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 14, -5\/6, -1\/4 in decreasing order.\nAnswer: 14, 2\/7, -1\/4, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210 and 54890?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 0*r - 5*r - 7 - r. Let j be f(7). Suppose -c + 3*c - 28 = j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - b - 2774 + 2666 = 3*b, -b = -3*l - 85 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u. What is the tens digit of -1 + u + (-9 - -40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 251 + -b0?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -255, -253, -249, -243, -235, -225?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -432, -1, -161 in descending order.\nAnswer: 0, -1, -161, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 275230 - 272845 - 5*y**3 in the form s*y**2 + a + n*y + d*y**3 and give a.\nAnswer: 2385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5589\/(1 + 26\/(-6)). Let j = -8433\/5 - y. Find the common denominator of j and 10\/(181344\/(-3984) + 46).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1568*q**4 - 8*q**3 + 22737*q**2 wrt q.\nAnswer: -37632*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u\/((u*u**0)\/u)*u)\/u))\/u)\/u**0)**(-8\/15) assuming u is positive.\nAnswer: u**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 19.525?\nAnswer: -19.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*h + 18 = 5*k, 0 = 5*k - 3*h - 17. Let g = k + -21. Let l = -1 - g. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 2*i - 3*i + 2*i - i + i + 2*i - 3*i - i + (-2*i + i + 3*i)*(-4 + 4 - 1) - 3 - i + 3 + 2*i + 2 - 2)*(-473 - 63 - 257 - 288).\nAnswer: -1081*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1485606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**6\/6 + 7*f**4\/4 - 5*f**2\/2 + 5*f - 231. Find the second derivative of c(d) wrt d.\nAnswer: 20*d**3 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2 - n**2 - 4*n + 0 - 2*n**2 + n**3. Let l be c(-3). List the prime factors of (l\/6)\/(6\/(-9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40851798*c**2 + 46259301.\nAnswer: 81703596*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*(-42 + 23)\/57*6\/430.\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45205073, -45205038, -45205003, -45204968?\n\"Answer: 35*v - 45205108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1656)\/1104)\/(2\/40).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 17*x - 53. Let y be f(-11). Suppose 3*b + 310 = 5*l, -2*l - y + 123 = -4*b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25303.58 - -24052. Let t = 1288.58 + -26.58. Let h = t + v. What is h rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 146464*q - 2928895. Calculate c(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -434*o**5\/5 + o**4\/2 - 2*o**3\/3 + 26*o**2 + 189. Find the third derivative of r(a) wrt a.\nAnswer: -10416*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20073980 and 0.1?\nAnswer: 20073979.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21309\/698 + 10\/349. Let c = 1\/239 + 24603\/3346. Calculate the common denominator of h and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (2 - (0 - -36)). Let u be (z\/(-4))\/((-4)\/176). Let p = -201 - u. Calculate the greatest common divisor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8578, -6468, -4358, -2248, -138, 1972?\nAnswer: 4082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/(-2))\/(1\/(-2)). Suppose 0 = -2*a - 1 + 7. Suppose 373 = 4*o - a*w, o = w + 132 - 38. Calculate the greatest common factor of b and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88833650*f**5 - 127*f**2 - 130400 wrt f?\nAnswer: -5330019000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 2*x. Suppose 21*q = 16*q - 85. Let g(k) = k**2 + 19*k + 26. Let z be g(q). Let v(t) = 6*t**2 + 6*t. Calculate z*h(j) + 3*v(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 75 and 31\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*o = 12288 + 10072. Calculate the highest common factor of o and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 - 22*a + 693. Give t(-17).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z + 150 = -5*p, -5*p - 195 = 4*z. Let o be (-3)\/1 + 63\/(-9) + 13. Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = 2*a + 33, -2*n - 5*a + 62 = 0. Suppose 9 + 6 = -3*x, -3*x = -3*p + 21. What are the prime factors of n\/4 - (-2)\/p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -19*r**2 + 942*r - 182. Determine t(49).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 9. Suppose -o*y - 2*y = 5*f + 20, 5*f = y - 2. Let t(b) = b - 4. Let v be t(7). Put v, y, 4 in descending order.\nAnswer: 4, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2109305028 and 22?\nAnswer: 23202355308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 141. Suppose l*v = 4*m - 44, -v + 0*v = 5*m - 13. What is the third smallest value in 2\/13, v, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (158 - 85) + -91?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42577607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7377737km to nanometers.\nAnswer: 737773700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44058613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(2 + -4 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263853 and 836.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 37 - 17. Which is the biggest value? (a) -3 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*k**3 + 45*k**2 + 1 - 84*k**2 - 36*k**3 to the form l*k**2 + n + w*k + g*k**3 and give g.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 116.075. Let k = 0.0262 - l. What is k rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1332 = -5*z, 8*b - 3*b = 5*z + 1710. Let n = -199 + b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 + 4 - q**2 - 2 - 6*q + q**3. Let b be x(-6). Let o(t) = 3*t - 3. Let y be o(b). Solve y*v + v = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p = 77*p - 36. Let d(j) = -13*j**2 + 4*j**2 - j - j**3 - 4 - 5. Let f be d(p). Is f less than 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21*y - 12*y + y. Let d be b(-3). Let t = d + 60. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-1490 + 1577)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6266443 at most as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 38. What is the greatest common divisor of d and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 8. Let w be 9\/r - (-4)\/(-10). Find c such that 0 + 1\/2*c + w*c**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30\/7 in 4, -13, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 - ((-8 - -5 - 0) + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -107048184*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 724280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 375 and 378957?\nAnswer: 47369625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5\/2, -0.4, 274 in descending order.\nAnswer: 274, 5\/2, 2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6990152.\nAnswer: 2, 13, 67213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 - -7924932\nAnswer: 7924931.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 3*c + 2. Let w be p(3). Suppose -5*r + w = -g, -4*r + 0*r = 4*g - 28. Suppose r + 7 = q. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b - 19*b + 2 - 16*b + 2 - 11.\nAnswer: -3*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 75 + -7 + -49\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 13. Let h = -21 - p. Suppose a - 2 = 3*w, 0 = 3*a - 5*a + 3*w + h. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 103 + 53 = -2*u, 2*k = -2*u + 136. Suppose -39 = -8*n + k. Calculate the greatest common divisor of 42 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from {y: 8, u: 4, b: 1, j: 1, g: 1}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 21 = 4*l, -2*l - 2*l + 27 = -3*g. What is the smallest common multiple of l and 408?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlt. What is prob of picking 1 t and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.15063762 rounded to 3 dps?\nAnswer: -1.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0797845 - -0.058074\nAnswer: -0.0217105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 1. Let h be a(1). Suppose -3*t + h = -21. Suppose -10*n = -45 - 15. What is the least common multiple of n and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 63968.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 19\/(-95))*-3*(-20)\/(-456).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 5 + 5)*(3*q + 8 - 28 + 14).\nAnswer: -84*q + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/11)\/d)\/d**12)\/(d**(-13)\/d**(5\/7)))**(-34) assuming d is positive.\nAnswer: d**(-1394\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 7*q**2 + 3*q + 3. Suppose f - 3*g = -41, 0 = -5*f - 2*g - 45 - 245. Let a = f + 63. Give w(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(243) - (-1 + sqrt(243)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 13. Let g = 2 - -9. Let j be o(g). Let l = -14 - j. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2307 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(5) + sqrt(15)\/(-1*sqrt(3)).\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2700 and 7992?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {a: 2, l: 6, v: 3, z: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2\/(-2) + -1. Let o(d) = 14*d**2 - 17*d - 11. Let j(g) = 5*g**2 - 6*g - 4. Let q(h) = 17*j(h) - 6*o(h). Let m be q(t). Solve -m*s = -3*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -1\/6*d**3 + 0 + 3*d + 1\/2*d**2 + 1\/48*d**4. Suppose f(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 4, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 328235 = -5*m - 328363, 5*m = -7*f - 112 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 5*s**2 - 5*s + 3. Let w be b(4). Let i be w\/(-4) - 30\/(-8). Suppose f - 2*p = -f + 26, -37 = -3*f + i*p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 3. Let t = z + -2. Let q = t - -9. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 5*c**6\/24 + 11*c**4\/12 - 2*c**3\/3 + 141*c**2 - 1. Find the second derivative of k(u) wrt u.\nAnswer: 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 100. Let l(v) = -v**3 - 7*v**2 + 7*v - 3. Let x be l(t). Suppose -2*w = -8 - 2. Solve -x*j = -4*j + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62083\/20 + 3101. Find the common denominator of 23\/2*(-4 + (-3)\/(-72)*102) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, -537, 3, 760 in descending order.\nAnswer: 760, 3, 0, -13, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-14) - 2\/4. Let o(c) = -2*c. Let r be o(-1). Suppose -4\/7*k + 2\/7*k**r + i = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*w**2 - 714*w**2 - 632*w**2 + 69*w + 268*w**2.\nAnswer: -1432*w**2 + 69*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 + 16*a - 16 - 17*a + (-2*a - 3*a + 6*a)*(1 - 2 + 0) + 2*a + 4 - 4 + (4 - 4 + 2)*(1 - 2*a - 1) - 1 + 2*a + 1 + 6*a - a - 4*a + 0*a + a + a.\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1901.5*54\nAnswer: 102681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/((6\/(-146))\/((-33)\/22)) is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 12215021?\nAnswer: -12215012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**2 - 2 + 1\/3*i**3 + i + 1\/4*i**4. Let n(t) = -t + 5. Let a be n(6). Give d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767285837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - n = 6, -434304*x + 5*n = -434301*x - 28 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 805.84?\nAnswer: -40.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 3*v**4\/4 + v**3 - 3*v**2\/2 - 3*v + 3. Factor x(a).\nAnswer: 3*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 324 + -657. Let i = -333.000000193 - m. Round i to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48 - 6099\/107 - 70\/(-6). Factor o*x + 4*x**2 - 10\/3*x**3 - 16\/3 + 2\/3*x**4.\nAnswer: 2*(x - 2)**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 9 + n**2 + 7 to p + k*n**2 + r*n and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116.9 - -66. Let m = r - -51. Let x = 167 - 1167\/7. Put m, 1\/6, x in increasing order.\nAnswer: m, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(3\/2 + 1). Let m be (-35)\/(-28) + 6\/8. Suppose r = m*t + 4 - 8, r = 0. Put 3, b, t in ascending order.\nAnswer: b, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-1014)\/114 + 9 - (-13158980)\/380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Let m(n) = -n**3 + 4*n**2 + 6*n - 5. Let q be m(5). Let i(g) = -g + q*g + 8*g - 3*g. Calculate i(t(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41\/2 of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.027 and -2.00063?\nAnswer: -0.05401701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 25615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338971674 rounded to the nearest 10000?\nAnswer: 1338970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -173*1\/((-3)\/3). Is 173 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t**2 + 2. Let g be s(-2). Solve g*d = -d - 4*c - 17, d + 5*c = -13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35958, 72025, 108100, 144183, 180274?\n\"Answer: 4*g**2 + 36055*g - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -27. Let y = -0.24 + -13.76. Let k = y + l. What is the third biggest value in 3\/7, k, 1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/13 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h**4 - 180*h - 6*h**3 + 180*h)*(-3*h + 9*h - 20*h).\nAnswer: 140*h**5 + 84*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**7\/420 + 1117*v**6\/240 + 34689*v**5\/10 + 1081125*v**4 + 4289904*v**3 + v**2 - 3992. Let i(m) = 0. Calculate m.\nAnswer: -372, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(63))*-6.\nAnswer: -18*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -292, -4, -0.5, 0, 3, -0.15 in decreasing order.\nAnswer: 3, 0, -0.15, -0.5, -4, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48cb2a (base 13) to base 15\nAnswer: 2461ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*36\/3. Calculate the common denominator of (-208)\/54 - g\/(-3) and -2 + (-2124)\/(-351) + -2.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + 48*k - 25. Let y be p(12). Calculate the remainder when 141 is divided by (-72)\/14*(y - -18).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2758386 nanograms in milligrams?\nAnswer: 0.0000002758386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(128) + 6*((sqrt(128) - (sqrt(128) + sqrt(128) + 2*sqrt(128))) + sqrt(128)))**2.\nAnswer: -528*sqrt(2) + 15497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*p = -46, 9321*p - 9320*p + 13 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 12*v + 27)*(5*v - v**2 - 5*v)*(-12*v - v - v).\nAnswer: 168*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*d + 33 = g, 4*g - 5*d = -118. Let l = g - -72. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**3 + 9*b**2 - 2*b - 34. Let r(s) = 19*s**3 + 25*s**2 - 5*s - 104. Give -11*q(m) + 4*r(m).\nAnswer: -m**3 + m**2 + 2*m - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-20)*d**(-5\/2))\/(d**(2\/15)*d*d*d*d*(d\/(d\/d**(5\/6)))\/d) assuming d is positive.\nAnswer: d**(-367\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(156)*-4 + sqrt(156) + -3*-2*sqrt(156) + sqrt(156))\/(sqrt(108)\/(sqrt(9) - (sqrt(144) - (sqrt(144) + sqrt(144)*1 - sqrt(144))))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249694?\nAnswer: 2, 124847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.96466l in millilitres?\nAnswer: 13964.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 - 2*v**2 - 7*v - 10. Let y be d(6). Suppose -17 = -3*z + 1. Solve -3*p = -2*q - 13, -9 = -y*p + z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33116591 to the power of 1\/2, to the nearest integer?\nAnswer: 5755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 285615*i**3\/8 - 23799*i**2 - 3*i\/2.\nAnswer: 3*i*(3*i - 2)*(31735*i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 75 + 68 + 184 - 328. Let q(d) = 17*d + 8. Let p(a) = 8*a + 4. Let w(o) = 13*p(o) - 6*q(o). What is 4*m(h) + w(h)?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - z**2)*(24*z - 669*z**2 + 668*z**2 + 2 + 0).\nAnswer: z**4 - 24*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -247*f**6\/3 + 94*f**3 + f**2\/2 + 547*f - 2. Find the second derivative of j(o) wrt o.\nAnswer: -29640*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.9 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 20*g - 57. Let n be k(17). Let o be ((-420)\/80)\/(n\/(-32)). Sort 4, o, -5, -3 in descending order.\nAnswer: 4, -3, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253 - 248. Suppose 5*z = -n + 10 + 8, -5*n + 12 = -z. Let r be -2 + z + -2 + 6. Calculate the greatest common factor of q and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -18*f - 20. What are the prime factors of j(-5)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17052 at most as big as -454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 32*r - 14. Let z = 86 + -80. What is the units digit of p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208543 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*(9276 + 93*f**2 - 9276) - 39*f + 39*f - 16*f**2 as v + h*f + s*f**2 and give s.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2833, 2842, 2871, 2932, 3037?\n\"Answer: 2*z**3 - 2*z**2 + z + 2832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*j - 238 = 156*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 226, 232, 242, 256, 274, 296?\n\"Answer: 2*x**2 + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2740 + 24 = 4*u + 5*c, 2*u + 2*c - 1382 = 0. Let a = u - 471. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*q - 1121*q + 576*q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020210211 (base 3) in base 11?\nAnswer: -3033a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = 0. Put d, -1, -4 in increasing order.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 18*j**2 - 19*j + 3. Let t be z(19). Let y be 0 + 2\/(-10) + 0. What is the biggest value in -2\/7, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9346746 centuries to years.\nAnswer: 93.46746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5613, 11267, 16923, 22581?\n\"Answer: c**2 + 5651*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*s + s**4 - 4*s**2 + 112*s + 2*s**4 + 1 in the form b*s**3 + j*s**4 + x + h*s + y*s**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 91*a**2 - 2*a + 48. Let y(m) = 90*m**2 - 2*m + 49. Let q(p) = 6*r(p) - 5*y(p). What is the second derivative of q(n) wrt n?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -34*x**2 + 7*x + 1. Let d(t) = 30*t**2 - 6*t - 1. Give 5*d(c) + 4*h(c).\nAnswer: 14*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2829178 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/(2\/(-4)). Let h be -1 - (-7)\/u*1. Let c = h + 11. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/9? (a) 1 (b) -4 (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzwztwtwwwwwwwwwz. Give prob of sequence tzt.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 + 75447*v - 603768 = 0. Calculate v.\nAnswer: -25157, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m**(-47)*m)\/m))\/m**1)\/(m**(-4\/11)*m*m**(6\/11)\/m) assuming m is positive.\nAnswer: m**(526\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 2. Let n(j) = 3*j + 3. Let w(d) = -3*g(d) - 4*n(d). Let l(c) = 13*c - 3. Let p(v) = 8*v - 2. Let x(a) = -5*l(a) + 8*p(a). Give -w(r) + 6*x(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5)*w**(-33\/4))**5 assuming w is positive.\nAnswer: w**(-177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10 = -3*q, 3*p - 9 = -3*q - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 = -s + 3*d, -4*s = 3*d - 7. Suppose 5*a = -2*r + 1370 + 7808, 13790 = 3*r - s*a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -810 + 1620 - 810 + 2162*i in the form b*i + d and give b.\nAnswer: 2162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466*n - 374*n + 2024 = 0 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 68*s + 1581. Does 3 divide u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*r**3 - 328*r**3 + 221*r**3.\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188203517?\nAnswer: 79, 2382323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1150942364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + i + 1. Let n(r) = -2*r**4 - 4*r**3 + 2*r**2 + 4*r - 12. Let k = -17 - -8. Let b be -1*12\/k*-3. Let o(u) = b*d(u) - n(u). Factor o(z).\nAnswer: 2*(z - 1)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4487 is divided by 155.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - l**2 + l)*(0 - 1 + 0) - 13*l**2 - 10*l**2 + 14*l**2 - 26 - 14 - 8*l**2 + 24 to y*l + g*l**2 + q and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 473314805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54001, -107908, -161817, -215728, -269641, -323556?\n\"Answer: -s**2 - 53904*s - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(75) + sqrt(3)))\/((sqrt(3) - 6*-1*sqrt(3)) + (sqrt(12) - (sqrt(12) - (sqrt(12) - -1*sqrt(12)) - sqrt(12)))\/sqrt(4)).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8652 = -9*x - 8685, x = d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r**3 + 616*r**3 - 231*r**3 + 1240*r**3.\nAnswer: 1601*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74336246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b + 8. Let i(l) = 26*l - 23. Let n(c) = 6*i(c) + 17*m(c). Let k = 17 - 19. Give n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - i = 10, 247*i = 3*n + 126*i + 125*i + 35 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28813509 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 5*b**2 - b**2)*(-1 - 1 + 0) + 55113*b**2 - 27525*b**2 - 26926*b**2 + (-2*b + 0*b + 3*b)*(5*b - 2*b - 5*b).\nAnswer: 656*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600 divided by 22?\nAnswer: -800\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 7*m + 2*g - 1, 2*g = 4*m + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 660?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047 equal to 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001938 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -99*j + 24181. Calculate q(244).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -0.1764\nAnswer: 2.8236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -14. Let y = a + 5. List the prime factors of (y + -8)*(-7)\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1) - -1*0\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h + 1. Let o(y) = 155*y**3 + 2*y**2 - 5*y - 5. Calculate 5*j(x) + o(x).\nAnswer: 160*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 191*y**2 - 7*y - 24. Is 44 a factor of r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 0*h - 4*h + 0*h - 4 + h**3 as u*h**2 + q*h**3 + w + s*h and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 101100111000?\nAnswer: -101100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1897)\/(-147) + -8.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26460 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 10 + 10)*(-5 + 1 + 1 + (-1 - 1 + 4)*(2 + 4 - 5) + 5 - 1 - 3 - 1 - 4 + 4 - 2 - 2 + 3) in the form k*d**2 + b + s*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-7*70\/(-1621116)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -478\/5 + 96. Sort -2, w, 1 in increasing order.\nAnswer: -2, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 3:12 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 1, -2, -1\/5, -2\/15, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2069932 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 2689673*p - 7234340846929\/2.\nAnswer: -(p + 2689673)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2755692124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -1\/540*k**5 + 8\/27*k**3 + 0*k + 50*k**2 - 1\/36*k**4 + 0. Find v, given that b(v) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 11. Let a(o) = o**3 - o**2 - o. Let y(r) = -r**3 - r**2 - r - 1. Let u(x) = -3*x**3 + x**2 - 1. Let n(d) = u(d) - 2*y(d). What is q*n(c) - 2*a(c)?\nAnswer: -c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 359*r**2 - 264*r + 33665. What is l(-358)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 352062 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -528706210 to the nearest ten thousand.\nAnswer: -528710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*(3 + -5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 - (-37 - (26 - -38) - -27).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-10)*-1)\/(1842\/6140)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 54 = 291. What are the prime factors of v?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(180)\/sqrt(3))\/(6*sqrt(108)).\nAnswer: 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1145*b**3 - 757*b**3 + 212*b**3.\nAnswer: -1690*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 32\/(-12))*5205\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n. Let a(p) = -12055*p. Determine a(l(c)).\nAnswer: -48220*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:04 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 573*h - 1187. List the prime factors of y(8).\nAnswer: 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 885*u + 442*u - u**2 + 37*u**3 + 442*u - 2 to the form f*u**2 + p*u + c + y*u**3 and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790423 minus 33?\nAnswer: 1790390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 96. Let w = -4.67 - r. Let x = 1.67 + w. What is the closest to 1\/2 in 0.3, x, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1730 - 590 = -114*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 5*p + 76, -4*p - 124 = -4*z. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 6 + 21 = 0. Let o(k) = 2*k**3 - k**2 - 2*k + 6. Let n(b) = -b**3 - 1. Let v(x) = z*n(x) + o(x). Does 10 divide v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqqqlxyeqqqlqyx. Give prob of picking 2 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6368 = 15236. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84466 - 422324\/5. Factor -9\/5*u - 6\/5*u**2 + a*u**3 + 9\/5*u**4 + 3\/5*u**5 - 3\/5.\nAnswer: 3*(u - 1)*(u + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-16) - (-2)\/8. Suppose n = -b + 19 + 5. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92999950 - 92999950 - 32*c.\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 2\/7, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -39, 2, -200, 6 in ascending order.\nAnswer: -200, -39, -5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by ((-36)\/7)\/(72\/(-756)*1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 (base 12) in base 3?\nAnswer: -222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(sqrt(112) + (sqrt(112)*2 + 4)**2 - (sqrt(112) - (-4 + 1*sqrt(112))**2)).\nAnswer: -594 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + p - 3, j - p + 209 = 210 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60.8 + -38. Let r = z + -23.87. What is r rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 110 + 204)*(0 - 1 + 0)*(9 - 9 - 24*f).\nAnswer: 7512*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -86161 times 0.42?\nAnswer: -36187.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*f**2*x**3 - 2*f**2*x**2 - 23*f**2*x - 3668*f**2 - f*x**3 - 2*f*x**2 + 28569*x**3 - x + 14 wrt x?\nAnswer: 204*f**2 - 6*f + 171414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 22 + 1 = 0, -6*r + 4*r + 11 = -3*b - 5*r - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -366251\/35 + 52323\/5. Factor 2\/7*p**2 - k*p**3 + 0 + 24\/7*p.\nAnswer: -2*p*(p - 4)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 2*o**2 - 6. Let i be v(-3). Let u be 9\/i*4\/6. Which is the closest to 0? (a) u (b) 2\/7 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/1 - 2) + 0. Let b be 1*(-3 + 2)*o. What are the prime factors of 5 - (b + (-6)\/2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280544, 282218, 283892, 285566, 287240, 288914?\nAnswer: 290588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 18.4, -1\/5, 8.8, 2 in decreasing order.\nAnswer: 18.4, 8.8, 6, 2, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 + 30. Let x = w - -115. Suppose 0 = x*f + 3*q - 76, -2*f - 5*q = -13 - 25. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 34*o + 67. List the prime factors of p(15).\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 172*j**2 - 9*j - 1548.\nAnswer: (j - 3)*(j + 3)*(j + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 4. Let v be o(-6). Let z = v + 16. Let f = 50 - 50.5. Which is the second biggest value? (a) z (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 14) to base 13\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 230\/(-378) + 4\/(-42) + (-176)\/(-264)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 + 505*z**2 + 152*z - 291. What are the prime factors of w(-99)?\nAnswer: 3, 17, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let o(n) = 11*n - 2. Let a(m) = 17*m - 3. Let y(r) = -5*a(r) + 8*o(r). Determine y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*(-4 + 2*sqrt(468)) + -4))**2 + -2.\nAnswer: -2880*sqrt(13) + 67790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8049*v + 8049*v - 5*v**2)*(-1 + 4 - 2).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669982335?\nAnswer: 3, 5, 11, 1249, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 651\nAnswer: -1\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*g**2*j*x**2 - 57792*g**2*x + 216*g*x**3 - 365622*j*x**3 wrt j?\nAnswer: -39*g**2*x**2 - 365622*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37981, -75961, -113941, -151921, -189901, -227881?\nAnswer: -265861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31339 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*k + 9 - 9 + 0)*(-3*k + 2*k + 0*k).\nAnswer: 46*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*h = -8, 6 = l - 4*l - 4*h. Let w(j) = -5*j**2 + 13*j + 18 + 7 + 2*j**l + 4*j**2. Let r be w(-11). Solve i - 18 = -4*a, 2*i + r*a = i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**3)*(2 - 2*o**2 - 2) + 2*o**5 + 4*o**5 - 4*o**5 - 443*o**5 + 843*o**5 - 2181*o**4 - 398*o**5.\nAnswer: 8*o**5 - 2181*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000049251 to 7 dps.\nAnswer: -0.0000493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -7. Suppose 6*k - 4*k = a. What is the first derivative of -q - 4 - 4*q + k*q + 0*q wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1317159 and 68\/423?\nAnswer: 61906473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 2\/7, 7.8 in descending order.\nAnswer: 53, 7.8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, f: 11}. What is prob of sequence fk?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*l + l - 54, 0 = -3*i - l + 67. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1439*n**3*w - 15*n**3 + 12267*n**2 + 2*n - 193*w wrt w?\nAnswer: -1439*n**3 - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -134143 and -34.196437.\nAnswer: -134177.196437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 + 104*d - 2 - 2 + 2 in the form b + c*d and give c.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90417.\nAnswer: 3, 30139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.1. Let d = k + -0.7. Let w = -0.8 + -1.2. Which is the closest to w? (a) 0.5 (b) -1\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f)**(-40)\/(f**(-1))**25 assuming f is positive.\nAnswer: f**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + y - 7*y + 2*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93947.01 litres?\nAnswer: 93947010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 884970.9 months?\nAnswer: 73.747575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142418 + -142416. Factor 400\/3 + 80\/3*w + 4\/3*w**g.\nAnswer: 4*(w + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 5742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from deewzff?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**2 - 75451464*l = 0.\nAnswer: -18862866, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -14. Let q = c + 11. Suppose -4*a + q = -10. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*g + 10 = 7*j, -5*j + 5*g = -10. Calculate the highest common factor of 69 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 9*b - 10*b + 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/231 - ((-6696)\/182 + (-32)\/(-416)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 1, i: 2, b: 6, l: 3}. Give prob of picking 1 e and 1 a.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290207 and 1462.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43884018, 43884014, 43884010, 43884006, 43884002?\nAnswer: 43883998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/14)\/(30\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -d01 (base 14) to base 10\nAnswer: -2549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*x - 198*x - 198*x - 201*x + 803*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162644.2 milligrams to nanograms.\nAnswer: 162644200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -6631?\nAnswer: -6632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8160, 3, 10, -2, -4, 0.\nAnswer: -4, -2, 0, 3, 5, 10, 8160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**3 + 5*h**2 - h - 5. Let l(c) = 3*c**3 - 3*c**2 + c + 3. Suppose -5*o + 14 + 6 = -4*y, 4*o + 15 = -3*y. What is y*l(z) - 3*a(z)?\nAnswer: 3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 3 (c) 12 (d) 1\/3 (e) 48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-4)*((-2)\/6)\/(-1). Suppose h = 8*z - 156 + 92. Solve -2*w - 4*r = 22, 4*w + r + z = 2*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20\/41 - 1\/82. Which is the closest to -2\/3? (a) -6 (b) s (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1604972.9 and -56355?\nAnswer: 1548617.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 - 451 = -42*s + 126 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1025, -444, -1911, -3376, -4839?\nAnswer: -6300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -955711 by -5.\nAnswer: 955711\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 + -262. Let i(y) = 13*y + 14. Let g be i(-5). Let b = g - w. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456) - (1*sqrt(456) + sqrt(456))*2)\/(5*2*sqrt(12)))\/(-1*((sqrt(32)\/sqrt(2))\/sqrt(8) - (sqrt(50)*-2 + sqrt(50))))*6.\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -85406720\nAnswer: -42703360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.85 - 0.15. Let y(u) = u**2 - 14*u + 16. Let q be y(13). Which is the nearest to x? (a) q (b) 2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 68, -84\/11, -1\/3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 14*u - 25. Give z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 9*z**2 - 9*z + 6. Suppose 4*i = 3*s - 87, 34 = -3*s + 5*i + 124. What is the remainder when s is divided by p(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**44\/j**5 assuming j is positive.\nAnswer: j**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 18*g**2 + 36*g + 12. Is v(16) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/432 and -1\/33.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 + 45*r - 51. Calculate m(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r. Suppose 818*k - 758*k = 180. Give a(k).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - v - 97, 0 = 3*k + v - 148 + 47. Find the second derivative of 9*u - k*u + 17*u**2 + 12*u wrt u.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/2358605?\nAnswer: -6\/2358605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56100\/(-72) + (-1)\/(-6). Let k = m + 1876. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/13 - 8*t**4\/13 - 12*t**3\/13 - 8*t**2\/13 - 2*t\/13 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 13 + 6 + 6)*(1 + 3 - 2)*(-2 + 1 + 2)*(17*c + 9*c + 4*c).\nAnswer: 1380*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 471*i**4\/4 - i**2\/2 - 3087*i + 4119. Differentiate h(x) with respect to x.\nAnswer: 1413*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5965479 - -33557946. Let c = 39523442.0000011 - j. Let v = 17 - c. Round v to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)**(11\/4)\/(i*i**0*i)**(-1\/4) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from iknuwnkwnknukunk.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 10*k**4 + 2*k**3 - 3*k**2 - 76 - 3*k - k**2 + 3*k**2 + 134 as f + c*k**2 + v*k**4 + b*k + i*k**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001110 + -1011100?\nAnswer: -1001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -2 - (1 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) -1\/7 (b) 1\/5 (c) 348 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.4856 - -7.485504. Let l = w + 8. What is l rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2620*y - 2623*y = -27. Solve -3*a - 12 = 3*h, 6*h - y*h + 3*a = -18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/15, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26957798, 26957796, 26957794, 26957792, 26957790, 26957788?\nAnswer: 26957786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 3*u**3 + 2*u**3)*(-9 - 4 - 58)*(u + 0*u + 0*u).\nAnswer: -142*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 0*z**3 - 2*z**2 - 5*z**3 + 2*z**2.\nAnswer: -5*z**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9075218713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l*y**3 - 34*l*y + 23868*y**3 wrt l.\nAnswer: 4*y**3 - 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5)*(-7 + 6). Put -2, -13, c in decreasing order.\nAnswer: c, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*q + 1, h - 2*q - 3 = -q. Let r be (-1 + 1 + -3)*h. Let g be 12*1\/(r\/(-50)). What is the highest common divisor of g and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/74956 and -52\/52395?\nAnswer: 561045660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1299, -1442, -1687, -2040, -2507, -3094, -3807, -4652?\n\"Answer: -t**3 - 45*t**2 - t - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61251.995 rounded to the nearest 10?\nAnswer: -61250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/503, -2, -11, 5.\nAnswer: -11, -2, -16\/503, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5794 + -5794. Put w, 0.07, 5, 19, 1 in descending order.\nAnswer: 19, 5, 1, 0.07, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p - 2*r - 1522 = 0, 5*r = 5*p - 1915. Let l(a) = 5*a + 82. Let t be l(-8). What is the greatest common divisor of p and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1603 * -3\nAnswer: -4809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.54 + -0.53999814. What is x rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 183, 208, 213, 192, 139?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 177234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/2)*v**(-4)\/v)\/(v**(-1)\/v*v**(2\/7)))\/(v**(1\/2)\/v*v*(((v*v*v**0)\/v)\/v)\/v*(v**0)**(2\/5)) assuming v is positive.\nAnswer: v**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11905 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*k + 2960 = -45*k + 35*k for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*o - 1)*(11*o - 7*o + 33*o)*(-1 - 1 + 4) in the form g*o**2 + j + p*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -37. Suppose 2*q + s = 5*b, 5*q + 7 = 2*b + 6*q. Suppose b*t = 4*t - 67. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 115 - 12\/48*-20. Calculate the highest common divisor of 2790 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74428?\nAnswer: 2, 23, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1357 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose 27 + 37 = n*h. Suppose 3*f - 12 = -2*d, -5*f - 3 = d - h. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 5*f + 96 = 0. Suppose p - 4*x = 35 + 15, -p + 5*x + f = 0. Suppose 0 = z + z - p. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = r - 1, 3*w = 3*r + 3 - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*k + 5770*p - 5774*p, -3*k - 2*p + 72 = 0. What is the greatest common factor of 7514 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + 1*sqrt(3) - (-1*sqrt(3))**2*2).\nAnswer: -12 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19076 divided by -9538?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 343636635 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 348649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966955 is divided by 9193?\nAnswer: 8846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 - 3.81. Let r = -3.71 - -3.06. Let g = -1.65 - r. Which is the nearest to h? (a) g (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = 0, -2*n = o + 7 - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9023?\nAnswer: 7, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -6. Suppose 4 = 4*g - 3*l, -g = -q*l + 3*l - 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 111\/(-12) - (2 - -3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2\/487, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.19999977 - -20.2. Round c to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1051\/13 - -81. Let m(b) = b**2 + 7*b + 10. Let q be m(-5). Suppose q*p = -3*p. Is t at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/152 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 1376079001157 and -3.\nAnswer: 1376079001154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/15829960 and -13\/255?\nAnswer: 807327960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, 624, 938, 1254, 1572, 1892?\nAnswer: 2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 523 (base 9) to base 3\nAnswer: 120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27950*o**4*z**3 - 8*o**4*z**2 - 20*o**2*z - 2882*o*z**3 wrt o?\nAnswer: 670800*o*z**3 - 192*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 4. Suppose -4*b = -4*d + 12, b = -2*d + z + 2. Let v(k) = k + 0*k - b*k. Let w(y) = -2*y**2. Determine w(v(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490645.\nAnswer: 5, 98129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 11 + 2*t**2 + 5 - 3*t**4 - 2*t to the form q*t**3 + w*t**2 + f*t + a + b*t**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21573 and 3431?\nAnswer: 1574829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2939.92966 + 0.07034. Let b = d + -2821.7. What is b rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -4. Let f be 210*v*14\/4. Is (-7)\/(14\/(-8)) - f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2 - -3 - ((-42)\/(-38) + 3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 15*l + 103. Let v be a(20). Suppose -2*t + 2*g = -14, 11*g - 12*g - 29 = -v*t. Solve 3*h + 3 = 0, 4*p - p = -4*h + t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(2*-32))\/(2\/12*-3)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 20*l - 24080. Suppose 4*t + 7*m - 3*m - l = 0, -t = -2*m - 442. What is the lowest common multiple of t and 12?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 + 11887*i\/5 - 8279992\/5.\nAnswer: -(i - 11144)*(i - 743)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 + 14.09. Let t = -13.5 + g. Put -0.5, -5, t in decreasing order.\nAnswer: t, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517202.05 rounded to the nearest one hundred?\nAnswer: -517200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1211 divide 1664411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 411863508 and 4914?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let l = 78 + -13. Let h = l - 68. Which is the third smallest value? (a) h (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85560 = 147*v - 23*v. What is the greatest common factor of 92 and v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**5 + 39516345*t**4 - 234231538*t wrt t.\nAnswer: 20*t**3 + 474196140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 50. Let t = 2.42 + 0.08. Let d = 0.5 - t. Sort w, 5, d in decreasing order.\nAnswer: 5, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 5:53 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1330204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14924 < 14925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71375585 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/13)*g)\/(g\/(g**(-9)*g)))\/(g\/(g**1*g)*g)**(-25))**(-15) assuming g is positive.\nAnswer: g**(1530\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*y, -3*l = -l - 3*y - 963. Calculate the greatest common divisor of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-7\/6)*h*h**(-27) assuming h is positive.\nAnswer: h**(-157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6024)\/(-60) + -27 - (-11)\/(330\/(-12)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*p**3 - 656281*p**2 + 10071637*p.\nAnswer: -84*p - 1312562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -95*h**3\/3 + 85*h**2 + 4*h - 9. Differentiate k(b) with respect to b.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015254476 rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*9\/(-225)*2\/(-1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Let r be (-26)\/(-8) - 1\/s. Suppose 2*z - r = -1. What is the second smallest value in z, 3\/2, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -230539344936.22939996 + 230539377902. Let f = j - 32954.7706. Let d = f + -11. What is d rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0 + 10\/3*q**2 + 2\/3*q**3 = 0. What is q?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 38 = -6*j. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1356, -1708, -2170, -2736, -3400, -4156?\n\"Answer: p**3 - 61*p**2 - 176*p - 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13790 * 0.4.\nAnswer: 5516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 2*j + 11. Let f(n) = 4*n**2 - 3*n + 13. Let u(s) = -4*f(s) + 5*w(s). Let q be (-7)\/4 + (-2)\/8. Determine u(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + -1*sqrt(180)*-2) + (4*(4 + (sqrt(320) - 1*sqrt(320) - sqrt(320))*4))**2.\nAnswer: -4060*sqrt(5) + 82185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114040 is divided by 479.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 88*x = -11*x - 1180. Solve -x*f = -0*f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/35*(-10)\/8\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11\/21, -0.2, -5, -1, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 112620 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.52 and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050598423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8874 and 26831032.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12217 - -12241. Which is the fifth biggest value? (a) 4\/7 (b) 0.16 (c) 0.2 (d) w (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1823112 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 128 = -56. Suppose 2*m = 4*s + c, 0 = -m - 0*s - 5*s + 23. Solve -2*b = 4*u + 28, -m = 5*b - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*k - 345464 + 131887. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -76*g + 560. Let r be o(7). Which is smaller: r or 303\/11?\nAnswer: 303\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 - 15*h**2 - 4*h + 180. Calculate the remainder when p(-9) is divided by 315.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12053, 24123, 36199, 48281, 60369, 72463, 84563?\nAnswer: 96669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 minus -435?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*u = 181*u - 91*u + 96 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from allul. Give prob of sequence al.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 2\/9, -14\/477?\nAnswer: -14\/477","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 3. Let v be s(-5). Let t = -3 - v. Suppose 0*z = -t*z - 3*a + 73, 2*a + 12 = z. Calculate the greatest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12*k**2 - k + 4. Let r be u(-3). Let z be 2\/2*-2 - r. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 1:04 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 5*f = 2*q - 15, -15 = 2*q + 5*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p - 5. Let n(r) = 5922*r + 90. Calculate -18*g(q) - n(q).\nAnswer: -5796*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -4. Let m = -7 - -7. Put -5, l, m in decreasing order.\nAnswer: m, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 + 6*t**2 + 2. Let r(g) = 4*g**3 + 12*g**2 - 5*g - 2. Let f(w) = -4*w**3 - 13*w**2 + 6*w + 3. Let i(l) = 5*f(l) + 6*r(l). Give 5*d(m) - 4*i(m).\nAnswer: -m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:37 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from xvvvfxxxx?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 11 = 8*v. Suppose 0 = 6*i - v*i + 5. Solve 3*y - 2 = o + 2, y + i = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 78*k**3 - 5211*k**2 + 5130*k.\nAnswer: 3*k*(k - 30)*(k - 1)*(k + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 60*k. Let j(d) = 13*d + 5. Let o(q) = -3*q - 1. Let w(s) = -j(s) - 5*o(s). Give w(i(h)).\nAnswer: 120*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18374920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaajajaaajajaa. What is prob of sequence aaa?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(-3 + -1 + sqrt(800)))**2.\nAnswer: -640*sqrt(2) + 3262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35293 + -23114. Is 261 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 658 - 153 + 1566 to y*g**2 + t + l*g and give t.\nAnswer: 2071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 6*l - 4*l**2 + 0 - 5\/12*l**4 + 0*l**3. What is the first derivative of a(q) wrt q?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-2 + 4)*-2 + 0). Solve 2 = r, u*r - 8 = -5*m - r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -239, 36.6 in ascending order.\nAnswer: -239, 3, 36.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17869400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f + 9. Let g be a(-9). Let w = -19 + g. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*i - 8*i + 3*i - 2*i + 2*i - 2*i + (-3*i + 2*i + 2*i)*(0 + 1 - 3) in the form t*i + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(24) - sqrt(6)) - (-1*sqrt(152) + sqrt(38)))\/((sqrt(288) + 1*sqrt(288) + sqrt(288) + sqrt(288) + sqrt(288))*2) + 4.\nAnswer: sqrt(19)\/60 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3 - 1. Suppose 8 = 2*h + a. Let u = 3 - 7. Sort h, u, -2 in decreasing order.\nAnswer: h, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 2901650144*s - 526223347385951296.\nAnswer: -4*(s + 362706268)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*m + 9, -r + 2 = -2*m - 1. Suppose -r*b + 4*t - 38 = 0, -2*b - 5*t - 74 = -18. Does 23 divide b\/6*(-46)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/(6\/16). Suppose 5*y - 3 = -h + 3*y, -p*h + 3 = -y. Let n = -1.1 + 1. Which is greater: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b - 5. Let r be x(2). Is r greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9970*v - 49875. Give b(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3\/2*a + 2*a**2 + 1\/2*a**3 + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 9309.\nAnswer: 10\/9309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*o = -15, -2*y - 8*o = -4*o + 24. What is the closest to -1\/2 in y, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/42 and 107\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/203 - (-34)\/(-112)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*g + 2*q - 29 = -90*g, -16 = -3*g - q. Solve -y + h = -8, g*y - 74*h + 79*h = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 3\/4, -5.8, -0.2 in ascending order.\nAnswer: -5.8, -2, -0.2, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 5*c - 12*c - 11, -118*c + 2 = 3*j - 5*j - 122*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 18 = 7*l + 4*r, 2*l - r = 8. Suppose 0 = 5*p + l*s - 904, 0 = -5*p + 4*s - s + 894. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*n**4 + 6*n**3 + n**2 + 111?\nAnswer: -456*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21020 (base 3) to base 5.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.034 in 0.01, -191, 0, -2, -0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 s, and 1 f when four letters picked without replacement from {n: 2, w: 1, o: 1, s: 6, f: 5, j: 2}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h. What is the remainder when 4 - (-4 + -1 + h) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:42 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 6*n**2 + 1. Let b be i(-6). Solve y + b = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 740084 = -2*l, 4*i - 4*l = 1056080 - 316008. Let u = i + 54980. What is u rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 + -444\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -24. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 12 = -2*n, 15*n - 14*n = 4*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 26 = -26. Solve 2*s - 18 = 7*s + 2*d, 5*s - 2*d + 2 = l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookqxkooxk. Give prob of sequence xkq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 4)*7*1. Let o(b) = -b**3 - 9*b**2 + 3*b + 12. Let q be o(-9). Let c = n - q. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 35 = -5*f. Let v(m) = -m - 1. Let l be v(-3). Solve -l = -4*t + f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 782 and 32402.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.343 - 0.657. Is p less than 6618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, v: 5}. Give prob of sequence lvlv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 0)*(5 - 4 + 30*h - 2*h + (-3 + 3 - 1)*(h - 4*h + 2*h)) as t + y*h and give y.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29401327.\nAnswer: 3359, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o - 16. Let y be m(-19). What is the highest common divisor of 33 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.4 (b) -2\/3 (c) 0.36 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1615, 3247, 4887, 6541, 8215?\n\"Answer: s**3 - 2*s**2 + 1631*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -70268 divided by -10?\nAnswer: 35134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/117)\/((-15)\/(-405)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 0.1, -5\/4, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44249 is divided by 175?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 111.99*3\nAnswer: 335.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q*q**(-1\/2))**28\/((q**0*q)**(-2)\/(q**1)**46) assuming q is positive.\nAnswer: q**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 277377869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*d**2 - 15*d**3 + 169*d**2 + 13*d**3 to v*d**2 + y + p*d + h*d**3 and give v.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 8*u - 7. Let v be k(-6). Let t be (-1 - (-5)\/3)*v\/2. Sort t, 2, -5, 1\/4.\nAnswer: -5, 1\/4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55869, 55871, 55873, 55875?\n\"Answer: 2*t + 55867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8244*p**3 - 8239*p**3 + 16478*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + w + 82. Let i be z(7). Let x = 0.3322 + -0.0322. What is the third biggest value in x, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23079206 is divided by 7693058?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -6, 5, 61, 0.84, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2111 + 0*h**2 + 3*h**2 - 1007 + 200.\nAnswer: 3*h**2 - 2918","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36146820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 44180*y\/3 - 29456.\nAnswer: 2*(y - 2)*(y + 22092)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 287680\nAnswer: -7\/287680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1648 divided by -31?\nAnswer: 1648\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2 and 41\/2818988.\nAnswer: 2818988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.237 - 22.237. Which is the nearest to x? (a) 4 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149 * 84467\nAnswer: 12585583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3007952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -28. Suppose -5 = -3*y + s, 9 = -b + 5*y. What is the remainder when 0 - (-2 + b - 1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-118)\/4 - (-32)\/8 and 32\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 23. Let h = 21 + a. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 453025, 906056, 1359091, 1812130, 2265173, 2718220, 3171271?\n\"Answer: 2*h**2 + 453025*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, t: 10}. What is prob of picking 3 e?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((0 + -5)\/(-5)). Let p(r) = 21*r - r + o*r. Let l(c) be the first derivative of -c**2\/2 + 1. What is p(l(h))?\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 58\/5 (b) -2 (c) -1 (d) -227 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 - 141. Let t = 0.14 + 0.26. Let f = 47\/20 - 7\/4. What is the closest to a in t, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 21. Let u = d - 8. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 24*j**2 + 51*j - 30.\nAnswer: 3*(j - 5)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbh when three letters picked without replacement from {h: 1, b: 6, k: 2, m: 1, g: 3, n: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1289*p + 34250. Determine x(27).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294*q - 70*q - 64*q + (-7 + 3 + 2)*(0 + 0 - 2*q) to the form j + w*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 + o**4 + 0 - o**3 - 4*o**4 + o + 1 as n + w*o**4 + i*o**3 + z*o**2 + s*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-90)\/(-36) - (-2)\/4. Let m(l) = -l**y + 7*l**2 + 14 + 2*l + 0 - 5. Calculate m(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13979*c**3 + 11063*c**2?\nAnswer: 83874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -295423*f**2. Let b(k) = 11*k. Calculate y(b(l)).\nAnswer: -35746183*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*p + 7, -4*p - 20 = -f - 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 30?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09128 - -0.39128. Which is the third smallest value? (a) 0.19 (b) s (c) 1 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 + 20*p**2 + 9*p - 29. Let g be u(12). Let d = -2790 - g. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71238150.\nAnswer: 2, 3, 5, 52769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 104. Let d = -63 + r. Let g = d + 90. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 12*j**2 - 5*j + 24. Let n be x(-5). Let u(l) be the first derivative of 3*l**2 + 1. Determine u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203409713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 + 46065*q\/2 + 707328075\/4.\nAnswer: 3*(q + 15355)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33341 (base 6) to base 3.\nAnswer: -20101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {a: 1, l: 2, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8)*b)\/b)\/b**22*b\/(b*b*b\/b**(-9))*(b*b**(-22)*b*b)\/b assuming b is positive.\nAnswer: b**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 991.6875 grams?\nAnswer: 0.0009916875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1045, 1063, 1077, 1087, 1093, 1095, 1093?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -8 + -20 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 333?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 23*h**2 - 16*h - 133. Let s be j(22). Is s greater than or equal to -51.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 11*a**2 - 10*a + 2. Let d be n(-10). Solve -q - q + i + 5 = 0, -d*q + 5*i + 1 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -27 + (-7 - 1 - (0 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -433998614 - 0.0884?\nAnswer: -433998614.0884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-4 + 2) + 2. Suppose 0*j - 5*w = -2*j + 23, 5*j + 4*w = i. Solve -d = -j*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -290.3205 to one decimal place.\nAnswer: -290.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -920, -2\/3, -1?\nAnswer: -920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {w: 2, y: 1, s: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292446)\/129976*248\/(-18).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = 3*b - 65 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12 - 3*t - 2 - t**2 - 1 + 0*t**2. Let r be o(-4). Suppose 459 = r*f + 34. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -23 (c) 0.9 (d) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -1\/6*j**3 + 1\/60*j**5 + 1\/4*j**4 + 0 + 9*j**2 + 0*j. Let z be v(-6). Is 2\/13 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372\/(-1674) + (-4)\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**5*k)\/k)*(k\/(k**(3\/4)\/k*k))\/k)**(-12\/11)*k\/(k\/(k**(-4)\/k*k))*k*k*k**(-2)\/k*(k**0*k*k)\/(k**(-2\/21)*k) assuming k is positive.\nAnswer: k**(547\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15)*5 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/40 - 3*g**3\/2 + 6*g. Let l(r) be the second derivative of q(r). Does 2 divide l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-4)\/((-28)\/(-35)))*8800\/160.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122 + 194944\/1600)*(-25)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooddo. Give prob of picking 4 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34760 divided by -55?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003087494 - 1.5?\nAnswer: -1.496912506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 4*s**2 - 1. Suppose -5*h - 13 = -5*z + 12, 4*z = 5*h + 21. Determine x(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2) + -1)*-2 + 3 + 2)**2.\nAnswer: -285 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 6. Let h(f) = 3*f**3 + f**2 + 6*f - 8. Let b be h(6). Suppose -b*v + 35 = -707*v. What is o(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -74*n + 21. What are the prime factors of j(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1055 divided by -5.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -84, -16, -0.4, -4\/5.\nAnswer: -84, -16, -4\/5, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1133 + 1138. What is the third smallest value in 11, 0.3, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*o*s + 16695867*d*o + 4*d*s + 5*o*s - 3*o + 342805 wrt d?\nAnswer: 2*o*s + 16695867*o + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 542328 and 1416?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 27 + 35 = 0. Let l(r) = 3*r**3 + 2*r**2 - 2*r + 1. Give l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**15)\/q)\/q*q)**28*(q*q\/q**5)**(33\/5) assuming q is positive.\nAnswer: q**(2001\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = -4*c - 5*a, c - a = 2*a - 110. Let j = 119 + c. Solve q - 2*q = 5*v - 20, -3*v + j = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 4886776*y - 2985072459272.\nAnswer: -2*(y - 1221694)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*a + 127 = -240*a - 17. Calculate the remainder when 4150 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - k + 3*k)*(2*k - 13*k - 17*k)*(-2 - 3 + 4) in the form p*k**2 + c*k + v and give p.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d. Let a(p) = -p. Determine -12*a(u) + 2*h(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) - 76989\/12. Let a = 3316 + m. Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14034426\/24 - 18\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 12 (b) 5 (c) 4 (d) -0.2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1584)*-3*6)\/(5*sqrt(256) - -5*sqrt(324)).\nAnswer: 648*sqrt(11)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoooh. Give prob of sequence ohho.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 718 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*m + 598*m + 42*m = 49257 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461738, 923485, 1385236, 1846991, 2308750, 2770513, 3232280?\nAnswer: 3694051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**3 + 574*i**2 + 133*i + 791. Determine x(72).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 1:37 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*s**2 - 433*s**2 + 924*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -59, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 5*o - 3. Let u be a(3). Suppose -3*c - 9 = 4*j, 5*j - 2*c + 19 + 21 = 0. Let k = j - u. Solve -4*i + 4 = 0, k = 2*d - 5*i + 3 - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92358 and 4167.\nAnswer: 42761754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 3, -116, -360 in increasing order.\nAnswer: -360, -116, -2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 - 4*p**3 + 23*p**2 - 41*p**2.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 285761*v + 2286072.\nAnswer: (v + 8)*(v + 1143036)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -603 times 3\nAnswer: -1809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 + 1483. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2619.5 + -2620. Put w, -1\/9, 3\/20 in descending order.\nAnswer: 3\/20, -1\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23104, -27766, -32430, -37096, -41764, -46434?\nAnswer: -51106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcwynhu. Give prob of sequence uhy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -199.\nAnswer: 1\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9460*h - 56754. Calculate g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 9:01 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 15392*n**2 - 752197*n + 5983770.\nAnswer: -(n - 15343)*(n - 39)*(n - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 25, 28, 31?\n\"Answer: 3*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11) - (-2*sqrt(275) + sqrt(275))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26191010 is divided by 2391.\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-24)\/90*2*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -26. Let v = -1.9 - -2. Is v <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54715?\nAnswer: 5, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-six fifths of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**7*(l*l**(-3\/8))\/l)\/(l**(-1\/9)*l\/(l\/(l\/(((l*l**3)\/l)\/l))*l)) assuming l is positive.\nAnswer: l**(701\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/110519 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 4*y - 1. Let l be b(3). Suppose -l*s = 3*t + 213, 4*s + 5*t + 242 = 82. Let p be (s\/2)\/9*-2. Solve 5*r + 0 = -p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/(c**(-1\/4)*c))*c)\/(c\/c**(-11)))\/((c\/(c**3*c*c))\/c*c)**(-7\/5))**8 assuming c is positive.\nAnswer: c**(-594\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 7*w + 4. Is w greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 - 472. What are the prime factors of (-1)\/24*g - (-68270)\/60?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -2, 34423, 1\/8, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-1)\/(-3)*(27504\/26740)\/(2\/(-28)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84149, 170031, 255917, 341807, 427701, 513599?\nAnswer: 599501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4 - -9) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*m - 132 = 190*m - 398*m for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + m - 1. Let u(z) = -z**2. Give c(h) - 3*u(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 11:57 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:02 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from zjwjk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*a - 8 = 0, -2*j = -2*a - 2*a - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.22 (b) -18\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13384 + 13381. What is the smallest value in -2\/13, -20, j, -2\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56401.\nAnswer: 56401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/187 + 487\/9350. Let f(l) be the third derivative of -3\/200*l**6 + 1\/560*l**8 + 5*l**2 + 0*l**7 - j*l**5 + 0*l**3 + 0 + 0*l + 0*l**4. Factor f(g).\nAnswer: 3*g**2*(g - 2)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(33) - sqrt(396)\/sqrt(108)) - (sqrt(825)*-6 - sqrt(33) - sqrt(33)))\/(sqrt(15)\/(sqrt(5)*-1) - 2*sqrt(363)).\nAnswer: -101*sqrt(11)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 237 - 303 = 0. Let l be (-90)\/n + (-1)\/2. Let b be (-12*(5 + -3))\/(l\/(-2)). Calculate the greatest common factor of 72 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z = 23 + 27. Sort 3, z, -17, -3 in decreasing order.\nAnswer: 3, z, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/178*(-2)\/(-8)*-4?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 345747, 691476, 1037205, 1382934, 1728663, 2074392?\n\"Answer: 345729*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012405622 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let r(q) = 6*q - 8. Let z(x) = r(x) + 3*s(x). What is the tens digit of z(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3030548740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*k*s**2 - 1700528*k + 4619140*s**2 with respect to k.\nAnswer: -37*s**2 - 1700528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.00183 - -0.0002. Round r to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74998, -299595, -673924, -1197985, -1871778?\nAnswer: -2695303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 - 170 = -4*a. Suppose -4*z + 0 = -4. Sort -4, z, a.\nAnswer: -4, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3235, 675, -3565, -9479, -17061, -26305?\nAnswer: -37205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2373 divided by 1124\nAnswer: -2373\/1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-10))\/m)\/((m*m*m**(-2\/15))\/m)*m**(-18)*m\/(((m*(m*((m\/m**(-21))\/m)\/m)\/m)\/m)\/m))**(-1\/55) assuming m is positive.\nAnswer: m**(703\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/4 + 17420389*n\/4 + 4355097 = 0 for n.\nAnswer: -17420388, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7218.7 * -82.7.\nAnswer: 596986.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmybryyybyy. What is prob of picking 2 b and 2 y?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1208 and 11?\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 49. Suppose -4*z = p - 1729, g*z + 164 = -p + 2324. Suppose z + 145 = 8*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: Calculate the common denominator of -41\/44697 and -71\/21.\nAnswer: 312879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -96*l - 222. Is 67 a factor of s(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29186 or -29193?\nAnswer: -29186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 14*b**2 - 26*b + 461. Calculate the remainder when d(14) is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34210286.8 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33472*v**2 - 6*v**3 - 33472*v**2.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)*y**11)**(-8)\/((y**(5\/2)\/y**7)\/((y\/y**3*y*y)\/y**(1\/4))) assuming y is positive.\nAnswer: y**(-1547\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22112013121 (base 4) in base 10?\nAnswer: 2712025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -5)*(2810\/4)\/5. Let g = -142 + d. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 379143*g**2 + 530615.\nAnswer: 758286*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/58180991 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, -2, 0.\nAnswer: -21, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-2)*(-8)\/6. Let x = k + 14. Let f be 1 + 7 + (-4 - x). Solve 0 = 3*v - 3*w + f, -2*w + 0*w - 5 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i. Let t(d) = d**2 + 5*d. Suppose 2*v - 12 = 2*j, v + 6 = 4*v + 3*j. Determine v*t(u) + 10*s(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 + 0 + 1 + 75 + (-131 - -68 - 27)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707086731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3529922316?\nAnswer: 2, 3, 294160193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14269 (base 13) to base 7\nAnswer: 215062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 37. Suppose x + 22 + 10 = 3*j, x = -4*j + 52. Let s = 12 - j. Is w(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 q, and 1 g when four letters picked without replacement from quuuuyqqyuuuguqmuy.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 537411269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - -44. Let r be (1 - y)*(-9)\/18 + 1. Suppose 2*h - 6*h = -r. Calculate the greatest common divisor of 20 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-22)*(10\/50)\/((-2)\/(-85)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180 - 2342\/13. What is the nearest to c in 1\/5, 4, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11605\/9495)\/(2\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 8*z + 2. Let k be -1*(2 - (2 + -8)). Let c be x(k). Let m(a) = 0*a**2 - c*a**2 + 4*a - 4*a. Let f(j) = 2*j. Calculate f(m(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 7. Suppose 6 = 5*i - 11*i. Let j(v) = -5*v**3 - 2*v**2 + 1. Let p be j(i). Suppose p*s + 5 = 37. Calculate u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 - 44417744*x - 493233995512384 = 0. Calculate x.\nAnswer: -22208872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**6\/120 + 3*k**5\/20 + 3*k**4\/4 - k**3\/3 + 209*k**2 + 2. Calculate f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 >= 888\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 20 (c) 0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = -6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/40 - q**5\/2 + 3*q**4 - 239*q**2. Let g(l) = 0. Calculate l.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*((sqrt(1152) - 3*sqrt(1152)) + -2) - (-1*sqrt(1152)*-2 + (sqrt(1152) - (sqrt(1152) - (3 + sqrt(1152)))*-2 - sqrt(1152))))**2.\nAnswer: 14784*sqrt(2) + 226276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3, -11.7, 32, -5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 1707*f = 1709*f + 105, 10*x + 25*f = -1470 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.1 + -17.014. Let o = p - 0.126. Which is bigger: -1\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-374)\/3128)\/((-605)\/220)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**2\/3 + 23465*c\/3 - 23470\/3 = 0.\nAnswer: -4694, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.44 + -0.06. Let d(o) = -o**2 - o - 1. Let x be d(-1). Which is the closest to x? (a) 1\/3 (b) g (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -496677?\nAnswer: -496677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 561 + 530 + 16*h - 1144 - 7*h.\nAnswer: 11*h - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssst when four letters picked without replacement from tttssssttsts?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 183*h**2 + 30*h + 491. What are the prime factors of t(-12)?\nAnswer: 71, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/206264 and -13\/38.\nAnswer: 206264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + y = 499, 17*y + 16 = 21*y. Calculate the highest common factor of 132 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 0.0607, -280, -2 in ascending order.\nAnswer: -280, -2, -0.5, 0.0607, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**2. Suppose 0 = -3*z + 5*f - f + 7, -2*f = -4. Let b(g) = g**2 + 2*g**2 - z*g**2. Determine b(i(t)).\nAnswer: -162*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -596048 and 120.\nAnswer: -595928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5122674971.\nAnswer: 157, 557, 58579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 2544*i - 539328.\nAnswer: -3*(i + 424)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -101516004?\nAnswer: -101516006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - 0.92. Suppose -4*u = -2*y - 18, 16 = -6*y + 2*y + 4*u. What is the third biggest value in y, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.2. Let v = 727 - 726.541. Let q = v + -0.759. Which is the closest to 2? (a) f (b) -2\/15 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-8) + (-5)\/(-178 - -179)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 1, a: 7, e: 3, c: 2, w: 1, u: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:54 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y - 4*y - 8*y - y. Let i(v) be the second derivative of -2*v**3\/3 + v. Give h(i(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*j**3 - 5*j**2 - 3 wrt j.\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-5)\/2) + 6\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -28*s**3 - 195*s**2 - 5*s + 26. Let h be q(-7). What is the greatest common divisor of 1550 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 162913.89 nanoseconds in minutes?\nAnswer: 0.0000027152315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:47 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*y - 2 + 6, 4*y = -5*g - 41. Let x = g + 5. Suppose -19 = -5*n - 4. Solve x = 3*k - 4*k - 3*a + 6, -2*a + 11 = n*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1514\/11 + 30599\/220. Let o = 1\/20 + z. Factor o*y**3 - 1 - 13\/4*y**2 - 1\/4*y**4 + 3*y.\nAnswer: -(y - 2)**2*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 2)*(-8*m + 17*m + 16*m) + 2 + 4*m - 2 + m - 5*m + m as d*m + j and give d.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26306949 and 4.1.\nAnswer: -107858490.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8317252 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-18))**(-4\/13))**(10\/11))**(1\/2) assuming y is positive.\nAnswer: y**(-380\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p = -36*p + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43613232 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3+39316005\nAnswer: 39316008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 2*m**2 + 4*m + 7. Let y(z) = -z**2 - z - 1. Calculate q(o) + 2*y(o).\nAnswer: -o**3 + 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3410331 + 3031?\nAnswer: 3413412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72964*f + 163736 wrt f.\nAnswer: 72964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1367 and 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 74, -2 in descending order.\nAnswer: 74, 27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n - 4*n - 4*n + 4*n. Let u(x) be the second derivative of -x**5\/20 + 23*x**2 - 28*x. Let a(s) be the first derivative of u(s). What is b(a(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 30 (b) 12 (c) -3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - 10*r - 11. Is n(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3175 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8397 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*t**5*z**2 + 51332*t**5*z + 6*t*z**2 + 4*t*z + 398*t - 6*z**2 - 4*z + 11 wrt t.\nAnswer: 620*t**3*z**2 + 1026640*t**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.15444*939\nAnswer: -145.01916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 0.1. Let c = -0.041 - 0.459. What is the second biggest value in r, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 1:05 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(19))*-1 + sqrt(19) + sqrt(76)\/sqrt(4) + -2)**2*-3.\nAnswer: -105 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 1:32 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -13. Suppose -15 = w*f - 4*d, 0 = -3*f + f - 2*d + 12. Let r = 3 + 8. Solve 5*t = -r + f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 7*p - 193 - 220 + 613.\nAnswer: 7*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 46*u - 222. Calculate f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510513 (base 12) to base 10.\nAnswer: 1265631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.938387532 to four decimal places.\nAnswer: 0.9384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 18.31.\nAnswer: 1.0986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 10. Let z be (h\/21)\/((-9)\/21). What is the closest to -1 in 1, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)\/((((w*w**(4\/5)\/w)\/w)\/w)\/w))\/(w**1)**(1\/53))\/((w\/w**(3\/8)*w**6)\/(w**(1\/4))**(-4)) assuming w is positive.\nAnswer: w**(-15781\/2120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21312 divided by -333.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 1241541548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 3*z = 6. Suppose -m = -3*m - 5*h - 2, 0 = m + h - 2. Suppose 5*r - 4*d = -20, m*d = 5*r + 6*d - 10. Put z, r, -4, -3 in ascending order.\nAnswer: -4, -3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.56 (b) -181\/6 (c) -0.3 (d) 414\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, 11, 881 in descending order.\nAnswer: 881, 11, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1.5. Let c = 2 + f. Let u = c - 4. What is the nearest to 1\/3 in -1\/4, u, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - 5*z**2 + 3*z + 3. Let x be f(-2). Let n(g) = 0 - x + 0 - 7*g + 0. Suppose 13*s - 3*s = -10. Give n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1570)\/(-157)*(-9)\/15 + -19?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and 252447.\nAnswer: 252447.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*x**2 - 417*x**6 - 78*x**2 + 168*x**6 - 72 + 70 wrt x.\nAnswer: -29880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -29*g + 56*g - 29*g. Suppose 3*k + 0*k - 6 = 0. Let c(x) = -2*x**2 + 3*x**k + 2*x**2. Determine c(q(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 66, 584, 1970, 4650, 9050, 15596, 24714, 36830?\n\"Answer: 71*t**3 + 8*t**2 - 3*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6277 and 3725.\nAnswer: 23381825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558945717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-10 - -15) + -14 - 13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-218)\/(-16) + 1 + 9 + -21. Let s be (-7)\/(-3) - 2\/(-3). Is s greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -41 + (6 - -3) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/134 and -19\/134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1128407991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4165)\/(-1275)*25\/7?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*-1 - 2)\/1. Let y = 1995 + -1994. Which is the closest to 0? (a) y (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 3 - -8) + -2 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*v + 30 = -v, -v - 14 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 + 121*i + 24. Let n be l(-20). Solve 2*b + n = 2*x, 2*b - x + 1 = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 45*v**2 - 30*v - 12350. Determine t(27).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4*w)\/w**(-2))**23)**(-22\/7) assuming w is positive.\nAnswer: w**(-506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -63*k + 60*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3666*k + 73320. Let s be n(-20). Determine g so that 4\/9*g**2 + s + 20\/9*g = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*12\/120*415\/(-2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1\/7, 4, 2\/5 in descending order.\nAnswer: 4, 2\/5, -1\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j)**(-1\/4) assuming j is positive.\nAnswer: j**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 896 + 824 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = a + 4*i, 5*a + 4*i - 63 - 124 = 0. Let q be (-1)\/(-1) + -1 + a. Suppose -10 = -v + 16. What is the highest common divisor of v and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y + 2. Let k be s(-2). Suppose u + u = k. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzg. Give prob of sequence gz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 77*o = 82*o + 144, -70*o - 38 = -4*k for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 12) to base 6\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pphppppppphfpp. What is prob of picking 4 p?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/3*(-54)\/(-15). Suppose 6*k + y = 8*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*d + 2 = -4*v, -3*v - 135*d + 138*d + 3 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21*o - 20. Let a(b) = -11*b + 9. Give 5*a(z) + 3*x(z).\nAnswer: 8*z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*30\/24 - 621. Let t be 5 + -8 - w - -3. Let p = t - 237. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -28. Let y be 5\/(-3)*p\/(-1). Solve 2*s - y = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*k - 19, -4*y - k = -0*k - 31. Let l = 11 + y. Calculate the smallest common multiple of 12 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7623 and 502326?\nAnswer: 38679102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, d: 6}. Give prob of picking 3 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-5*1 - -2*-1*sqrt(500))*4)**2.\nAnswer: 288000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20771 is divided by 20732?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 3*x. Let m be f(-2). Suppose 3*q + 4*n = -m*q + 29, 3*n + 7 = 2*q. Calculate the remainder when 9 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 12 = -5*n, 14 = 2*n + 3*n - 2*f. Suppose 3*l - 22 = -2*a, 3*a - n*l - 33 = -0*a. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4827 is divided by 179?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-77) - 18\/(-7). Factor -2*d**2 + 2 - 7*d**r - 2 - d + 6*d**3.\nAnswer: -d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1028, 4127, 9290, 16517, 25808, 37163?\n\"Answer: 1032*y**2 + 3*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 465 * 8.25.\nAnswer: 3836.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 1, o: 4, b: 2, t: 3, j: 2}. What is prob of sequence tnto?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 1410.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1.1 (b) 0.387 (c) -2\/17 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -249*w**2. Let g = 111 - 112. Let b be m(g). What is the hundreds digit of 1 - (1 - -4) - b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8039393 days to microseconds.\nAnswer: 69460355520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*d - 5*p - 17, 5 = 5*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 7*k**2\/2 - 40*k - 84. Let h be y(6). Solve 0*g - v = 3*g - 11, h*g - v = 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*14082*-1*(-5)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 6*k - 6. Let d(v) = -2*v**2 - 5*v - 5. Let t(w) = -6*d(w) + 5*u(w). Let o(c) = c**2 + c - c. Calculate t(o(i)).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Let t be -1 - -4 - 2 - -2. Suppose -t*l + 3*r - 27 = 0, 4 = -5*l - r - 17. Sort 0, l, i.\nAnswer: l, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:36 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -18*p + 56. Let n(t) = 8*t. Let g(l) = 2*n(l) + y(l). Let j(c) be the second derivative of 0*c**2 - 5*c + 0 + 1\/6*c**3. Determine j(g(w)).\nAnswer: -2*w + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.2716 + -7.\nAnswer: -36.2716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-12))\/(((-10)\/8)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 63.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2700)\/(-1800))\/(((-1)\/260)\/(1\/6))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13867\/180 + -1157\/15. What is the common denominator of -49\/90 and o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/9)*t)\/(t*t*t**(-1))*t\/(t\/(t*t*t*t**(-23)\/t*t*t))*t**(-7\/6)*t assuming t is positive.\nAnswer: t**(-343\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 25. Let f be i(8). Calculate the remainder when 195 is divided by 7*(-1)\/((f\/(-22))\/(-1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*n**2*x**3 - 9*n**2*x + 21*x**5 + 14*x**2 + 2 wrt x.\nAnswer: -144*n**2 + 1260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 12 (b) 78 (c) -1\/3 (d) -377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, -165, -340, -515?\n\"Answer: -175*h + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -23. Let k = 6 + v. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12.16638 millimeters?\nAnswer: 1.216638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 + -109. Sort 10, 1, -4\/7, z in increasing order.\nAnswer: -4\/7, 1, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*p + 5*p - 5*t, 0 = -5*p + 2*t + 15. Calculate the greatest common factor of 125 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -11 + 3. Suppose -4*y + 2*y = d. Let u be (-6)\/(-4)*(-2)\/y. Solve u = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 323 - 326 - 2*x**2 + 9*x**3 - 2*x**3 + 0*x**3. Let t(i) = -13*i**3 + 3*i**2 + 5. Determine 5*s(k) + 3*t(k).\nAnswer: -4*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5 = -t, -25*t + f = -24*t - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*3\/45*83. Let n = 17 + t. Which is the closest to 5? (a) 1 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 970781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -465, -701, -937, -1173, -1409, -1645?\n\"Answer: -236*b - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/301 (b) 4.45 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - p**2 - 4*p - 10. Suppose -14 = 20*d - 22*d. Let b be a(d). Find the common denominator of 97\/2 and b\/60 - (-2 + 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76050966.\nAnswer: 2, 3, 12675161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -18606?\nAnswer: -18602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (0 + 2 - 0). Let d be 1\/(-2)*(q + -5). Suppose d*c + c = -79000. Round c to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f + 84. What is the least common multiple of n(-4) and 417?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 5*c - 2. Suppose -164*z = -161*z - 3. Let g be x(z). Solve m + g = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a**3 + 5*a**2. Let x(z) = -z**3 - 2*z**2 - z + 1. Let g(d) = -4*d**3 - 9*d**2 - 5*d + 5. Let h(t) = -g(t) + 5*x(t). Calculate -5*h(u) - v(u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4593 is divided by 664?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/4 + 2*o**3\/3 + 4*o**2 - 2*o - 1865. Let d(s) = s**3 + 5*s**2 + 17*s - 5. Give 2*d(h) - 5*j(h).\nAnswer: -3*h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(748 + 16 + 19)*(3 - 2*v - 3)*(-2 + 7 - 3) - v + 1 - 1 to the form j*v + q and give j.\nAnswer: -3133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -18*f - 148. Let p be g(-9). Let a(u) = -u + 2. Calculate a(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*h + 86*h = -39 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15)*(-10)\/(-22). Let y(r) = -r - 7. Let f be (4\/(-5))\/(4\/40). Let c be y(f). Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 43.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 3 + 7 + 4 + 1 - 13*r**2 - 6*r.\nAnswer: -13*r**2 - 6*r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3523, -3562, -3599, -3634, -3667, -3698?\nAnswer: -3727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12175 - 36527\/3. Which is smaller: c or 4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - 6*y + 3. Let g be m(-3). Let i(s) = 4*s**2 + 5*s - 12. List the prime factors of i(g).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 7. What is c(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-37*y - 57 + 57).\nAnswer: -74*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205928580 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.38. Let c = 0.22 - f. Let g = -1.8 + -0.2. What is the second smallest value in c, g, -2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.78 + -0.68. What is the closest to 0.1 in -5, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21.960921s?\nAnswer: 0.36601535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 88, 147, 208, 271, 336, 403?\n\"Answer: g**2 + 56*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 756081\nAnswer: -2268243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:33 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - -14. Suppose -i = 5*m + 112, 4*i + 327 = m + 341. Let d = m + q. Solve 0 = -2*l - 3*v - 5, 4*l - 4*v = -3*v + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1512)\/24)\/7)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*l + 20 = 0, 4*x + x + 16 = 4*l. Let s be 0 + x - (-4)\/14. Let o = 3\/4 - 1\/4. Which is the third smallest value? (a) s (b) o (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1342*c**3*f**3 + 22*c**3*f + c**2 + 7*f**2 - f wrt f?\nAnswer: -8052*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17433954*f**2 + 98*f + 9792?\nAnswer: 34867908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05646 in 0.1, 0.1111, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -733 = -5*g - w, 7*g - 4*g - 2*w = 445. What is the greatest common divisor of g and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(25\/(-6)))\/(-174*1\/(-9280))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 2861.\nAnswer: 10\/2861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24169 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 + 3*h + 1. Let g be o(-2). Let j be (-82)\/(-7) + (-6)\/g. Is j less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j)**(-25) assuming j is positive.\nAnswer: j**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or -11608?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k. Let t(p) = 3677*p. What is t(c(x))?\nAnswer: -7354*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 19*l**3 - 2*l**3 + 3 + 49*l wrt l?\nAnswer: 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 - (3 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*c - 786*c + 23457*c**4 - 24788*c**4 wrt c?\nAnswer: -15972*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/4 or -14788?\nAnswer: -14788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 0, 8 = 4*a - 2*t. What is the greatest common factor of 14 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38850 * -3.\nAnswer: -116550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i = 557 + 556 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjfj when four letters picked without replacement from jefsjfsrsrrjjjrsjfe?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 g when four letters picked without replacement from {g: 5, h: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 1:43 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610736534 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -993210?\nAnswer: 1\/993210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhxxwgd. Give prob of sequence xh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111020210 - -11?\nAnswer: 10111020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2368, -7, -2\/5 in descending order.\nAnswer: 2368, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + -5.6. Let a = -5.5 - h. Let q = 0.50006 - a. What is q rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7472, 29892, 67258, 119570, 186828, 269032?\nAnswer: 366182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 15*c + 13. Let u be f(16). Let k = -13 + 11. Let p(b) = b**3 - 2*b**2. Let z(t) = -2*t**3 + 3*t**2. Give k*z(x) + u*p(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.15, 5, 2, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/7, -5, 26, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 60 = 2*p, -2*v = -3*v. Suppose -12*r + 4*w = -17*r + 21, -2*r + 4*w = -14. What is the highest common factor of r and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -23. Let i be (54\/(-120))\/((-474)\/790). Which is the smallest value? (a) 2 (b) o (c) i (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(4) - sqrt(16))*4)\/(sqrt(108)\/sqrt(3)*6).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -269*q + 524. Give k(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, p: 3, j: 1, e: 1}. Give prob of picking 1 e, 1 j, and 2 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 3*y. Let x(d) = 5*d**3 + 40*d**2 - 100*d + 45. Let r(w) = 6*h(w) + x(w). List the prime factors of r(36).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4085083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 5415726*w**3 + 16247160*w**2 + 16247154*w + 5415717.\nAnswer: 3*(w + 1)**3*(w + 1805239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28148 - -27890.01. Round j to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**3 - 4*l**3 - l**3 + l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - (-20 + 22) - 14)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f - 18. Calculate w(-11).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131202.6 rounded to the nearest one thousand?\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/4270 and -67\/10136.\nAnswer: 3091480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*z - 184*z**2 + 2 - 289*z**2 - 47*z**2 to o*z**2 + f + s*z and give o.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -151190, -150956, -150722, -150488, -150254?\n\"Answer: 234*y - 151424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**3 + 5*j**2 - 4*j - 5. Let s be u(3). Is s at least 759\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, y: 4, g: 2, m: 5}. What is prob of picking 1 l, 1 y, and 1 m?\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -2\/3 (c) 2\/17 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76111641?\nAnswer: 3, 8456849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*q + 44 = 0, 5*q = -2*y - 11 + 55. Suppose -4*a + 58 = y. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16 = 1. Let g(p) = -p**2 + 1. Let r be g(f). What is the units digit of 8\/6*r\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/54482400 and 29\/7783200?\nAnswer: 54482400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 424927651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 15 = 7*t. Is ((-93816)\/(-45))\/t + 2\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -801*d - 25. Let f be h(1). Let p = -789 - f. Solve -p*z = -32*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1896 + 1900. Which is the nearest to 0? (a) k (b) 3 (c) 2 (d) 13\/54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -683, -682, -681?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/45 - 5775\/1755) + 4\/(-26). Let s be 2\/4 - 44\/8. Let l(j) = 9*j - 3. Let t(m) = -5*m + 2. Determine s*t(i) + w*l(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1 - j**2 + 1. Let i(h) be the third derivative of h**5\/30 - 2*h**2. Calculate i(w(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17755\/6 + 2952. Find the common denominator of q and 48\/65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7672*x + 6126 - 7739 - 84510 = 13613 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -12*w + 3*j + 39, 5*w - 3*j - 59 = 0. Solve 12 = -2*h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2329*s - 775. List the prime factors of o(-3).\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ootututtuouuuutou. Give prob of picking 2 t.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 13, -7, -35?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -57, -2\/5, -3\/7, -1.712.\nAnswer: -57, -1.712, -3\/7, -2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 0.3 (c) -28 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 0*f**3 + 0*f + 5\/4*f**5 + 0*f**2 + 0 - 3\/4*f**4 = 0.\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 2 k when four letters picked without replacement from {l: 1, c: 1, k: 2, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4926 + -4925.77. Which is the smallest value? (a) 2 (b) w (c) 4 (d) -3 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2608 + 3102.8. Let c = -497 + r. Sort 0.5, c, 0.3, -2.\nAnswer: c, -2, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 11*x + 7. Calculate s(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -6\/10049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6810000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 2\/3*w**3 + 2*w**2 + 0 - 3*w - 1\/3*w**4 + 1\/15*w**5. Let a(q) be the first derivative of m(q). What is b in a(b) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 (base 12) in base 10?\nAnswer: -809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 8:56 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -456, 3 in ascending order.\nAnswer: -456, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 559874 and 294.\nAnswer: 1679622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 379888 - -32.96\nAnswer: 379920.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5, -n - 3*h + h + 18 = 0. What is the first derivative of n - 29 + 11 - 20*j wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 8) to base 6\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 7. Let x(w) = -7*w + 13. Suppose -3*p - 2*p - 3*r = 532, p - r + 108 = 0. Let f = -118 - p. Give f*o(y) - 6*x(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 30. Calculate g(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055513?\nAnswer: 17, 29, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 833.\nAnswer: -1\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/351, 0, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22905610.1 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -872246 - 20?\nAnswer: -872266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.014 - 3311.014. Let l = b - -3303.95947. Let y = 0.04 + l. What is y rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 23*c + c - 5 - 25*c**2 + 6*c + 15*c**3. Let p(k) = 7*k**3 - 13*k**2 + 15*k - 3. Let x(z) = 2*n(z) - 5*p(z). Suppose x(y) = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 19\/4, -4\/13, 0.06, -11, 3, -30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + sqrt(35)\/(sqrt(5)*2 + sqrt(5)))**2 - 3*(sqrt(448) - 3*sqrt(448)).\nAnswer: 112\/3 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329533746?\nAnswer: 2, 664766873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 9. Let u = -6 + h. Let v = 23 - u. Calculate the smallest common multiple of 10 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2636375 or 2636376?\nAnswer: 2636376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 1413 = -2*m. Is 39 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*a - 59*a + 112*a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 3 + 2)*(3 - 3 + 2*c).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 0, -5*w + 286 - 67 = 2*i. Let d = w - 68. What is the remainder when 10 is divided by (-1)\/5*d - (-15)\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -682 - -2048\/3. Is y equal to -1\/387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.188 - 26.1876. Let l = u - 16. Round l to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4 + 30*u**3 - 100*u**2 = 0.\nAnswer: 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**3\/3 + 4*y**2 + 2*y - 2. What is the units digit of m(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g**3 + 6*g**2 - 5*g - 2 = 0 for g.\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001001 + -101?\nAnswer: 1001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1120 and 14336.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*b = -2*x - 4, -b + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + g - 33 = 0, -2*b - 28 - 10 = -2*g. Let o be b\/14 - (2 - 21). Solve -2*c + 14 = o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2440, -4952, -7468, -9988, -12512?\n\"Answer: -2*u**2 - 2506*u + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + -1 + -1 + -3 + (sqrt(833) + (sqrt(833) + -2*sqrt(833) - sqrt(833)))**2.\nAnswer: 7*sqrt(17) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxxl when four letters picked without replacement from {k: 1, f: 1, p: 1, i: 1, l: 1, x: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3091802 and 27042.\nAnswer: 9275406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from ztzozktiztk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 391*l + 99. Let o be j(17). Suppose 0 = -10*q - 1036 + o. List the prime factors of q.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.315 + 0.515. Which is the nearest to 1\/2? (a) s (b) 8 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + u - 1652 = 0, -u - 4130 = 5*d. Let g be ((-21)\/63)\/(d\/(-414) - 2). Put 2\/9, 1\/2, g in decreasing order.\nAnswer: g, 1\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -1\/12*m**4 + 0*m + 25 + 1\/6*m**3 - m**2. Let k = 4 - 3. What is u(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -683 (base 15) to base 9\nAnswer: -2016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109129 is divided by 18180.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 783*f - 785*f = 2*x + 58, 0 = -4*x - 37*f + 28*f - 286 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - 8.19. Let d = a + 7. Put 1\/3, d, 5\/4 in increasing order.\nAnswer: d, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 11. Let t be z(10). Let y = -230 + 467. What is the units digit of (56\/84)\/(t\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 557034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 4. Let n(a) be the first derivative of 6*a**2 - 24*a + 2. Let r(b) = -34*m(b) + 6*n(b). Differentiate r(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7178, 14296, 21418, 28544?\n\"Answer: 2*o**2 + 7112*o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35\/3 + -90 + 79\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = -10*q. Suppose 0 = 3*a - q*m + 31 - 95, -5*m + 49 = 2*a. Calculate the remainder when 64 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 + 51)\/(-4) + 18209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2) + (7 - 3) + (3 - 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (121\/33)\/(-6*5\/(-90))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/12 + 7*w**3\/6 - 3*w + 3. Let n(x) = -5*x + x + 2*x. Calculate n(b(t)).\nAnswer: -2*t**2 - 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2, 0*a - 5*x = a - 1405. Suppose 4*m = -11*m + a. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2448)*1 - (sqrt(2448)*-2*6 + sqrt(2448)))**2 + ((sqrt(2448) - (sqrt(2448) + 2*sqrt(2448) + -2)**2) + sqrt(2448))*-3 + 4.\nAnswer: -1656*sqrt(17) + 418640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1950090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 - 121. Suppose -4*p - 8 = 3*z, -p - 7 = t*p + 3*z. Which is the nearest to p? (a) 18 (b) -1\/7 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 4. What is the remainder when 15 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188864\/(-2270)*(-600)\/390?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -2\/119, -3, -5, 8, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66719414.\nAnswer: 2, 47, 601, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -n - 8*r + 7*r, 0 = -n + 4*r + 18. Solve -9*j - 14 + n = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81.58 and -0.5?\nAnswer: 40.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.203247553 to three dps.\nAnswer: -1.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/12 (b) 0 (c) -1\/4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 139 - (121 + -107 + 9)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24421 + -24416. Which is the second smallest value? (a) 0 (b) -2\/9 (c) -3 (d) -0.8 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*b + 130, 3*t = 6*b - 4*b - 60. Suppose -272789 - 188848 = -b*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*p + 4, -41*y + 131*p = -18*y - 19*y + 121*p + 36 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, m: 8}. Give prob of sequence mjmm.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) -17 (c) -3 (d) -121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -2, 15, 44, 57.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let t = -1.6 + 3.6. What is the nearest to m in -3, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 11*u - 9. Let z be (5 + -1)*(-11)\/(-4). Let m = -20 + z. What is the remainder when 25 is divided by a(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 2*t + t**3 - 4*t**3 - 3*t to the form v*t + j*t**2 + b*t**3 + o and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 604 + 1074 + v - 587.\nAnswer: v + 1091","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4452452982?\nAnswer: 2, 3, 859, 95987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 + 152. Let y(o) = -o**2 - o - 3. Determine y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-15 - -7) - 23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.433058 millennia?\nAnswer: 24.33058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 36. Suppose 2*r + 4*d + 56 = 4*r, n*d = -4*r + 73. Calculate the remainder when 42 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 97354.\nAnswer: 1\/97354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -25*r - 1. Let u(d) = 6*d + 16. Let o be u(-3). Let g be (-24 + 25)*o\/((-4)\/6). Let b be g*(14\/6 + -2). Give h(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -13*x**3 + 21*x**2 - 76*x - 4. Let i(d) = 3*d**3 + 2*d + 1. Let h(p) = -4*i(p) - w(p). Give h(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqrrhqy. Give prob of picking 2 q and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2314444824?\nAnswer: 2, 3, 163, 199, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + i - 2742947 = 6127057, 5*m - 8870012 = -3*i. What is m rounded to the nearest ten thousand?\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - r + 0*r = 575331, c = -r + 287673. Suppose 0 = y - 4*y + 2*p - 287633, 0 = 3*y + 5*p + c. Let o = y + 197881. Round o to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/40 (b) 37\/21 (c) -1\/7 (d) 3 (e) 379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 431*t**2 - 16*t**4 - 431*t**2 + (-2*t**3 - 4*t**3 + 5*t**3)*(-1 - t + 1) to the form z*t**2 + a*t**3 + g + r*t**4 + p*t and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41500*z + 0 = -41502*z - 2*g - 18, 5*z = g - 39 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221 + -224. What is the biggest value in t, 11\/2, 3?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (0 - (2 - 4)). Suppose h = 4*n + x - 8, 5*n = -4*x + 8 + 13. Differentiate 5*d**2 - n - 2*d**2 - 4*d + 4*d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j + 66127 = 1209*j + 465*j + 2709 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28+-471080\nAnswer: -471052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 6:06 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-2)\/(-13))\/(2\/26).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1891 and 15748?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.010082g?\nAnswer: 3010082000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 104115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/17, 944?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + t)*(-3 + 0 + 2) + 40 - 41 + 33 - 7*t + (3 - 5 + 3)*(3*t - 3*t + 2*t) + 2*t - 3*t + 0*t + (1 - 2 - 1)*(1 - 1 - 3*t) - t - 1 + 1.\nAnswer: -3*t + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 - 2)*(-3*f + 5 - 5 + (-2 - f + 2)*(0 - 1 + 2)).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 4) to base 8\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001465123788 to seven decimal places.\nAnswer: 0.0001465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12552 and 18?\nAnswer: 37656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1423111.713 + -107226\nAnswer: 1315885.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -63. Suppose 5*w + 7 + y = 0. Put 2, w, 7 in increasing order.\nAnswer: w, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 19240*f\/3 - 1954050.\nAnswer: -2*(f - 9305)*(f - 315)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 33 = 88. Let n(q) = 17*q - 25. Let c be n(k). Suppose -c = -6*i + 48. What is the remainder when 67 is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 72, 0.1, 2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346870.\nAnswer: 2, 5, 7, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12481340, 49925378, 112332112, 199701542?\nAnswer: 312033668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evwwn. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdd when three letters picked without replacement from xxdzxxxxdxxrxx.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + l + 41 = 0, -7*o = -12*o + l + 189. Suppose 2*t = -m + 3*m + 372, m + 735 = 4*t. Calculate the remainder when t is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2. Let k(m) = 4*m**2 - 48*m + 11. Let q(n) = -2*n**2 + 23*n - 6. Let a(c) = 6*k(c) + 11*q(c). Give a(v(l)).\nAnswer: 2*l**4 + 35*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 414050*c**2 - 43931435*c + 1164555220.\nAnswer: 5*(c - 53)**2*(c + 82916)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13573748?\nAnswer: 2, 3393437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -658, -1194, -2060, -3232, -4686, -6398, -8344?\n\"Answer: 4*u**3 - 189*u**2 + 3*u - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 4*x**2 + 9*x - 14. Let v = -2888 + 2882. Calculate y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 - 153.786. Let i = -0.1911 + x. What is i rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148744 + 2*u**2 + 148744.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let t(q) = -24168*q. Determine t(w(j)).\nAnswer: 24168*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 11*d**4\/12 + d**3\/2 + 60*d**2. Let x(p) = -p + 10. Let q be x(11). Let h be y(q). Is h at least as big as -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - -1)\/(5 - 3). Suppose -j*a = -a + 12. What is the tens digit of (a\/(-9))\/((-6)\/(-99))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220590 - 220590 - 16*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 3. Let z(l) = 2*l + 9. Let o be z(-7). Calculate the remainder when (6\/o)\/(t\/(-45)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-12 + 1) - (-123 - -136).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u - u)*(-2292 - 1939*u + 637*u + 639*u + 665*u).\nAnswer: -2*u**2 + 2292*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 1358 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/5 - 4316988*f**2\/5 + 12950951*f\/5 + 3453588 = 0. What is f?\nAnswer: -1, 4, 4316985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, -126, -630, -1134, -1638, -2142?\nAnswer: -2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3891038?\nAnswer: 2, 1945519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-686)\/((-57624)\/36))\/(1*(-2)\/154)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**7\/84 + a**6\/12 + 3*a**5\/40 - 17*a**4\/24 - 7*a**3\/3 - 3*a**2 + 3*a - 4. What is j in m(j) = 0?\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/4*(2\/10)\/((-265)\/(-1060))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -11. Solve -y + b = 1, -3*y + 4*y + 3*b = n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244*l - 1254*l + 4*v + 58 = -2503*l + 18, 0 = 4*l + 5*v + 41 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83047997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.72 + 0.22. What is the second smallest value in h, 1, 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = 28 - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -29. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -256\/84705?\nAnswer: -256\/84705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -10857656 and -10857710 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 4430 + 7108 = 0. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/176572 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-66)\/1155 + (-1672)\/140 - -24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 6, 1, -6932327?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 49 = 2*i - 16*o, -6*o + 5*o + 15 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 2*j**2 + 4*j**2 - j - j**3 + 1. Let b be u(1). Let f be (-21 - -24)\/(3\/(-2)). Is f greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 5:39 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iitiiiiii. What is prob of picking 1 t and 3 i?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6703*j**5 - 2*j**4 + 177*j**2 + 492423*j - 11.\nAnswer: -134060*j**3 - 24*j**2 + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9541.221t?\nAnswer: 9541221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6551153 + -1.655. Round r to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3734\/12 + (-19)\/114. Find the second derivative of -322*x**2 + 2 + 505*x**2 - i*x**2 - x wrt x.\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*r + 16, -r + l = -4*r + 12. Let i be (1 - r)*(-4)\/12. Differentiate 5 - 3*j**4 - i + 1 with respect to j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2595 + 2607. Calculate the highest common divisor of y and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 906, 905, 902, 897, 890?\n\"Answer: -n**2 + 2*n + 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285 + 285 + 4*j)*(0*j**4 + 0*j**4 + 2*j**4).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-14) - 216\/378?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(-2\/3))))**10\/(o**(1\/6)*o**(-4)\/o) assuming o is positive.\nAnswer: o**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 69*q**3 + 180*q**2 - 12*q - 240.\nAnswer: 3*(q - 1)*(q + 2)**2*(q + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1273 - 1242. Let b = -0.101 - -31.301. Let p = b - o. What is the closest to p in -4, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 611*z + 3616. Determine s(6).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 11. Let f be c(-5). Find the common denominator of (-1)\/2 + (-137)\/f and ((-67)\/20 - -2)*8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 24*q = -218456 - 71828. Which is bigger: -1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 2*l - 1. Let q(p) = -p**3 + 6*p**2 - 12*p - 143. Give q(s) - 6*u(s).\nAnswer: -s**3 - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 less than or equal to 1466188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6795, -6844, -6891, -6936, -6979?\nAnswer: -7020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(3*(-15)\/(-360))*-3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -245 (c) -1\/5 (d) 3084\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 1 + sqrt(288) + 4)**2.\nAnswer: 240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**4\/24 + 2*i**3\/3 - 2*i**2. Let y be r(2). Suppose -y*n = -3*n + 15. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222.106 times -0.3?\nAnswer: 366.6318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 42. Let i be (-2)\/(-5)*(-10)\/46. Let w = -1627\/7 + 233. Which is the nearest to -1\/3? (a) p (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 2:29 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and -0.04.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.983 nanograms in grams?\nAnswer: 0.000000800983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 27 = -5*p - 22, 4*k = 3*p + 41. Let j(o) = 3*o + 27. Let x be j(p). Let s(u) = u + 7. What is s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6\/o)\/o**15)\/(o\/(o**(2\/15)*o)*o\/o**1) assuming o is positive.\nAnswer: o**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -20*y + 16 + 38*y - 17*y + 1. Let t be s(-13). Solve -1 + 9 = t*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w**(-4\/5))\/((w\/w**(1\/5))\/(w*w*w**(-2\/5))) assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 + -154. Let v be (-1)\/(2\/60*2). Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 15. Let k(s) = -2*s + 10. Is k(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(1*(9 - 7) - 7). Let o(c) be the second derivative of -38*c + 0*c**3 - 1\/6*c**4 + 0*c**2 + l. Let u(v) = v**2. Determine o(u(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, w: 4, t: 1, u: 3, o: 3, c: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/12 + 3*n**3\/2 - 17*n**2\/2 - 165*n. Determine u(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 14*d + 7. Suppose -q - 2*v - 10 = 12, 3*q + 86 = -2*v. Let f = q - -25. List the prime factors of g(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.516 - 0.016. Which is the third smallest value? (a) n (b) 1\/8 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/5 + 10362*w**3\/5 + 624576*w**2\/5 + 12432006*w\/5 + 16154073 = 0. Calculate w.\nAnswer: -3393, -23, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 7*m. Suppose m = 5*f - 5*z - 35, -z = -f + 2*z + 11. Find the third derivative of -3*i**2 + 2*i**2 + 5*i**5 + 0*i**f - 2*i**5 wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/120*-15*(-1)\/((-3)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2739077*z + 6764507 wrt z.\nAnswer: -2739077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 28006730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11804411894682 take away -0.6?\nAnswer: 11804411894682.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 - 40*p + 144 = 0. Calculate p.\nAnswer: 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 5698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c12 + 42?\nAnswer: -11bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, v: 1}. What is prob of picking 2 k?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65, 50, 29, 8, -7?\n\"Answer: t**3 - 9*t**2 + 5*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-5)\/g)\/g*(g*g**(-1\/12)\/g)\/g)\/(g**(2\/23)*(g\/(g\/(g\/g**3))*g)\/g))**(-2\/35) assuming g is positive.\nAnswer: g**(1703\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -67 + -2 + 5253 + -5273\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose 18 = 2*c - 5*d, -x*c - 24 = -3*c - 5*d. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/14 - 26\/91. Let y(h) = h**2 + 8*h - 1. Give y(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331 (base 5) in base 6?\nAnswer: -2054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110001101110111100001 (base 2) to base 5.\nAnswer: 2442331334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1712\/799 - 109\/47. Put -4, u, 7\/6, 0.4, 3 in decreasing order.\nAnswer: 3, 7\/6, 0.4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:16 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*h + 108*h - 450 = 0. Calculate the remainder when h is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x + 2. Let k(q) = -q. Calculate 10*k(a) + w(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m**5 - 246*m**4 + 552*m**3 + 1398*m**2 + 585*m = 0.\nAnswer: -1, -3\/5, 0, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -482 - 887*v**4 - 118*v**4 + 93*v**4 - 75*v**4 wrt v?\nAnswer: -3948*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -37*p + 40. What is the third smallest value in -3, p, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/58 or 1264?\nAnswer: 1264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36938 + -36938. Let o = 42 + -15. Solve -z + 30 - o = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/826914 and -41\/397243?\nAnswer: 40518786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*w + 39*w + 12660 = 214*w for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2076*c**2. Let y(a) = 3*a. Give z(y(k)).\nAnswer: -18684*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -24 (b) 3 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*w**3*x - 14*b*w**2*x - 242*b*x + 3*b + 2*w**3 + 2*w**2 - w wrt w?\nAnswer: -12*b*w*x - 28*b*x + 12*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -332997 and 160.258.\nAnswer: -332836.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by ((-135)\/4)\/(-3) + 6\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1235 = 9*d. Suppose 91*a + 152800 = d*a. What is a rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 3*s - 1. Let n(p) = 2*p**2 - 3*p - 2. Calculate -3*h(a) + 4*n(a).\nAnswer: -a**2 - 3*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2207\/6648 - -3\/2216. What is the closest to -1 in 0.3, 0, -20, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17136036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235147 is divided by 403?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = -2*c + 377, 0 = 3*z + c + 374. Let o = -98 - z. Calculate the highest common factor of 54 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455*k**3 + 35108*k**2*t**2 + 178870359*k*t - t**2 wrt k?\nAnswer: -2730*k + 70216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44603\/15 + 9097\/3. Let i = -59 + t. Which is the third smallest value? (a) -4 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 198247, 396501, 594755?\n\"Answer: 198254*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 + 0*p**2 - 2*p**2 + (p + 2*p - 6*p)*(3 - 3 - p) + (2*p - 3*p + 0*p)*(0 - 2*p + 0).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 + 17*s**2 - 2*s + 6. Let w(a) = -a**3 - a**2. Give k(c) + 6*w(c).\nAnswer: -c**3 + 11*c**2 - 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-248 - 432 + 493)*(0 - 3 + 2)*(-2 - 139*j - 131*j + 274*j) to a*j + w and give a.\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 4*h**2 - 10*h - 6 + 5 - 4 - 8. Let z be r(-5). Suppose v + 2*m + z = 3*v, -8 = 4*m. Solve 3*o - v = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.46 - 0.46. Let o = j + 0. What is the closest to 10 in 1\/8, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 5*z - 7*z**2 + 0*z + 18*z**2 + 4549 - 4552. Let f(k) be the second derivative of -k**4\/3 + k**3\/2 + k**2\/2 + k. Determine -3*b(v) - 8*f(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + m - 2*m - 3. Let i be w(8). What is the nearest to -1\/5 in -3\/5, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192708 by 3.\nAnswer: -64236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/227 (c) 2\/9 (d) -2\/17 (e) 0.2 (f) 0.5 (g) 0.06\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*x - 12*x - 5*x**3)*((-1 - 3 + 6)*(-3 + 4 + 0) + 5 - 4 + 0 - 2 - 2 + 6 + (-5 + 3 - 1)*(63 + 205 + 2)) as a*x**3 + q + v*x**2 + w*x and give a.\nAnswer: 4025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = -5*h - 4, 3*y + h + 9 = 0. Is (y + 4)\/(1\/10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 54.087. Let g = -0.013 + j. Which is greater: -50 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**3\/3 - i. Let c(m) be the third derivative of 0*m + 5\/24*m**4 + 0 + 0*m**3 + 8*m**2. Determine b(c(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 16*d + 77. Suppose 5*p - 16 = 24. What is the remainder when d is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + -3. Suppose 0 = -4*b - 20, 3*p - 5*b - 7 = 6. Suppose 4*r + 3*x + 1 = -9, r - 3*x - 5 = 0. What is the nearest to 2 in p, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12915532 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 5*l**2 - l + 2. Let p be q(-2). Suppose 3*w = h + w, 3*w = p. Solve 5*a = 4*t + 2, -5*a - 16 = 2*t - h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 25 - 35*y + 25\/2*y**2. Differentiate z(g) wrt g.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 50. Let v be (-3)\/6 - (-5)\/(-2). Let o be (-13)\/v - (-2)\/(-6). Solve -s*f - 5 - 1 = -4*z, -1 = 3*z + o*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j + 5. What is the tens digit of c(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + (-12 - -4 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -4. Let j = u - 10. Suppose 0 = 2*f + 2*a - 50, j*f + a = -4*f + 103. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o + 2 = 0. Let x be (3\/o)\/(4 + -1). Which is the closest to 0? (a) -0.4 (b) -4\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 40003 = r + 6332, -3*s - 33683 = -r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17629 at least 35257\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 951903452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/130, -3\/4, 0.8 in decreasing order.\nAnswer: 0.8, 0.1, -1\/130, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -65, 6, 4, 1 in increasing order.\nAnswer: -65, 0, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-45)*2\/(-14))\/(10740\/(-7518)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1241752\/689865 + 1\/137973. Factor 0 + 2\/5*h + 4\/5*h**3 + w*h**2.\nAnswer: h*(h + 2)*(4*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 212 and 159.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 526 - 1196. Is a\/(-18) - (-48)\/(-216) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1733833.81 to the nearest 100.\nAnswer: -1733800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6878 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 + 156*x**2 + 507*x - 660 = 0. Calculate x.\nAnswer: -4, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1961 + -69?\nAnswer: -70.1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(115*o - 26*o - 421*o).\nAnswer: -332*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 1)\/((-1)\/(-2)). Let o = -6 + g. Solve 3*w - u - 1 = o, 0*u = -w + 4*u + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 171 = 27*v - 3*v. What is the greatest common divisor of 24301 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 5*d. Let g(n) = -n. Let l be ((-2)\/4)\/(1\/2). Let c(v) = l*o(v) - 2*g(v). Calculate c(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(18\/9) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**2 - 21404 + 10701 + 369*t + 10702.\nAnswer: 25*t**2 + 369*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243344744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.5, -3, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 21 = -3*a. Suppose 4*g = -5*m + a, g + 5*m - 8 = m. Solve 19 = -5*u - 2*f, -g*f = 2*u + 13 + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -5*(sqrt(208) - (0 + sqrt(208)*-1 + sqrt(208))) + 2 + -2)*4*-5)**2.\nAnswer: 48000*sqrt(13) + 2083600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2763255, 5526485, 8289689, 11052867, 13816019?\n\"Answer: -13*d**2 + 2763269*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869697.\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 - o - 1. Suppose -4*p = 6 + 2. What is the units digit of b(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, i: 1, n: 8}. What is prob of sequence nn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -25) + (11 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 873571663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 - (-10 - 1) - 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -75*d - 787. What is p(-3)?\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 19 - 37. Solve -3 = -5*s + 2*m, 3*m = 3*s + c*m + 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19665401, 19665402, 19665403, 19665404, 19665405?\nAnswer: 19665406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 2 - (-2 + 17 + -6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4143005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(891) - 2*sqrt(891)) - sqrt(891))**2 - sqrt(891)) + sqrt(891) + sqrt(891) - ((sqrt(11) + -1)**2 + -4 + 5).\nAnswer: 11*sqrt(11) + 3551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (4 - -3) - ((6 - 12) + 8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167726988 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2368 and -83\/204832.\nAnswer: 409664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of -6*(-7)\/(-21) + 4614\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10824 divided by -24\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439745 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -16*v - 8. Determine d(7).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 26. Suppose 5*h - 5*y + q = 0, -3*h - 25 = h + 3*y. What are the prime factors of (-2772)\/(-70) + (-4)\/h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + 30. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwccqwwcwqwwq. What is prob of picking 1 w and 2 c?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*h + 17 = 0, -5*h + 28 = -0*w - 3*w. Which is the biggest value? (a) w (b) 4\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8784140 a multiple of 1172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4136*v**4 + 9*v**3 - 3843. Let z(s) = -20681*s**4 - 42*s**3 + 19217. Let k(u) = -14*i(u) - 3*z(u). Find the first derivative of k(n) wrt n.\nAnswer: 16556*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**21\/(m\/(m**(11\/5)\/m*m)))\/((m*m*m**15)\/(m\/(m**(-10)\/m))) assuming m is positive.\nAnswer: m**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 12*h**3 - h**2 - 1 - 3 + 10*h**3 as j*h**2 + c*h**3 + u + d*h and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**7\/315 - 2*q**6\/45 + 16*q**5\/75 - 19*q**4\/45 + q**3\/3 + 444*q. Determine k, given that m(k) = 0.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*c - 69916 = -67*c + 929*c for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -4 - -7) + 5 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -79. Suppose 0*k = -2*k + 6, -2*k = -4*o - 6. Suppose -2*n + 2*u + 22 = o, 2 = 2*n - 5*u - h. What is the least common multiple of n and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6. Suppose g = -11*h + 1318989 - 204689. Round h to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -5b?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 9. Let v be o(14). Solve 0 = 3*f + 2*f - v*k + 10, -k = -2*f - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587680, -587678, -587676, -587674, -587672, -587670?\nAnswer: -587668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/598 and 89\/6.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -74. Suppose -2 = -j*v + 12*v. Is v >= -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -28 (b) -1\/6 (c) -2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10203023 + -2?\nAnswer: 10203021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l. Let z(m) = -6*m. Let r(c) = 6*f(c) + 14*z(c). Let b be (-1)\/(2*(-1)\/(-2)). What is r(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -21, 1 in descending order.\nAnswer: 1, -21, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -598 - -601. Put 9, 13, -1, f in increasing order.\nAnswer: -1, f, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njcjnnnwjjn. Give prob of sequence jn.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 + 1490*k + 58275 = 0. Calculate k.\nAnswer: -35, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*2\/((-36)\/27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1554)\/(-105) - 4*1\/(-20). Sort 5, i, -2 in decreasing order.\nAnswer: i, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -m + 11, 3*m + 7*o - 8 = 8*o. Let a = 0.2 - 0.18. What is the second smallest value in -3\/7, a, -4, m?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -27.2809.\nAnswer: -27.5809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*o = -1180, -2355*w - 281 = -2356*w - o. Calculate the least common multiple of 80 and w.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -37 (b) 5 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -444900 by 60.\nAnswer: -7415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1308320 divided by -261664.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14 + (-76 - (78 + -146)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-25)*3\/((-12)\/10). List the prime factors of 918 + (4 + r)\/5.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19608, -19541, -19436, -19293?\nAnswer: -19112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 40, 3, -10 in descending order.\nAnswer: 40, 3, -10, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 1\/6*l**3 - 11\/2*l**2 + 3*l + 0. Let p be i(6). Sort p, 0, 0.2 in ascending order.\nAnswer: p, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32024?\nAnswer: 2, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*h + 59*h - 836. What is the remainder when h is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**2 - 2287*x**3 + 2289*x**3 + 32*x**2 - 64*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-26 - -9) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.2 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/1941 - -23402\/106755. What is the closest to 0.1 in c, 2, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-26)\/((p\/(((p*p**(37\/4)\/p)\/p)\/p))\/p) assuming p is positive.\nAnswer: p**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9136 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1237464 and 648?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10619\/40 or 266?\nAnswer: 10619\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 73*t - 912. Let o be f(57). Solve -67*d + 64*d + 18 = o for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 20 - 1. Suppose -3 = -11*s - y. Suppose 10*z - 5 - 15 = s. Solve -2*w + 10 = 0, z*n + 2*w - 21 = -w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350 and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4780 is divided by 2526.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2340 and 71\/23928255.\nAnswer: 95713020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9 + 9 + 9 - 5*q - 22. Let j be m(-4). Let b be 68\/(45\/j + (-3)\/(-15)). Calculate the greatest common factor of 34 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*v - 560*v = -3*n - 63, 9 + 9 = -v - 3*n + 3 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 869?\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 7*h**2 - h. Let i be m(-7). Suppose i*z + 5 = 12*z. Solve 2*s = o + 13, -2*o = s + z - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33889*a**2 - 33883*a**2 - 5*a + 5*a + 67775*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.55 + -32.55. Which is the third biggest value? (a) 0.4 (b) -1 (c) g (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (220\/(-66))\/((-1068)\/(-1602)*(-65)\/8)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -p + 227, 20*p - 44*p + 23*p + 3*i = -116 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkowfwkfokofofwkkkwo. Give prob of picking 2 k.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/23 (b) -4354 (c) 1.3 (d) 5 (e) 1\/7 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-32)\/20) + 2\/5. Solve -3*r - 4 = -v + 2*v, -8 = -m*r + 2*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -26, -41?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-3 - 0 - -5) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 32233144?\nAnswer: -32233122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 492, 1084, 1660, 2214, 2740, 3232, 3684, 4090?\n\"Answer: -v**3 - 2*v**2 + 605*v - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 4*w**2 + 185*w + 1039. Give y(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45788 is divided by 509?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 - 4*t + 4. Let g be x(3). Let v = 29 - g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 30 and 28.1?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**2 - 288*i - 560 = 0.\nAnswer: -70, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2 (c) 1\/6 (d) 2\/7 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 27*x**2 - 20*x - 101. What is j(26)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*l = -16, -2*o - 2*l - 2*l = 2. Suppose o = h + 19. Is 7 a factor of h\/3*(-4 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.293?\nAnswer: 0.1172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*t + 107*t - 1772*t.\nAnswer: -1941*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/2 - 2*q**2 - q. Suppose 3*i = 4*z + 24, 0*z = 3*i - z - 15. Calculate the smallest common multiple of 8 and u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13016610 to the power of 1\/2, to the nearest integer?\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 1052, 2297, 4074, 6419, 9368, 12957?\nAnswer: 17222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 146a02759 - 3?\nAnswer: 146a02756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2 = -5*j - 13, -5*d + 4 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1117 - 210.\nAnswer: -210.1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 13*i**5\/20 - 29*i**3\/6 + 16*i**2 + 16. Let n(f) be the second derivative of m(f). Differentiate n(t) wrt t.\nAnswer: 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*z + 391*z = 51*z - 2136 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/5)*f**2*f**(-1\/3)*f*f**(-2\/27)\/f*(f**(-4\/5)\/f**1)**(-2\/19) assuming f is positive.\nAnswer: f**(6623\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:56 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/11 - 3406256*a\/11 - 13625056\/11 = 0.\nAnswer: -4, 1703132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/10 and -51\/875.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z - 96. Let x = 36 + z. Suppose 4*v - 3*v - 3*h = 26, 2*h - x = 0. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -197*n**2 - 5252*n + 1818. Determine f(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -255574.\nAnswer: 3\/127787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/77, -310, 2\/27, 5, 4 in increasing order.\nAnswer: -310, -5\/77, 2\/27, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47514155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 579\/5 + 16\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 284*i - 6840.\nAnswer: 4*(i - 19)*(i + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-2) - 1)*4\/(-8). Let s be (2 - g\/1)\/((-9)\/(-6)). What is the first derivative of 1127 - 12*x**2 + 2*x - 1134 - s*x wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2107417, 2107422, 2107413, 2107384, 2107329, 2107242?\n\"Answer: -c**3 - c**2 + 15*c + 2107404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17557552 a multiple of 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 5*a**2\/4.\nAnswer: a**2*(a + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 4:03 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -115*s**2 - 5513*s - 90. Give x(-48).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-28))\/(21 + (-410)\/20). What is the second smallest value in i, -1, 0.19, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {l: 6, z: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(2\/9))*d)\/d*d\/d**3)\/(d**(-2\/5)\/d)**(-5\/12) assuming d is positive.\nAnswer: d**(-101\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) -0.18 (c) 1.18 (d) 1\/2 (e) 2 (f) 2\/1101 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34667921711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.95 - -0.05. Let n = d - 1.0000064. What is n rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4296455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 102334?\nAnswer: 307002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56160 and 1008.\nAnswer: 393120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + 2*d**2 - 2376 + 12*d + 2354. Let l be g(9). Let q = -71 - l. Solve q*t - 2*x = 25, 5*x - 6 = -2*t + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1119.\nAnswer: -1\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 4. Let i be l(0). Suppose -3*b - 2*b + 40 = 5*k, -b - i*k = -23. Solve -2*y - 2*u + 2 = 12, 2*u - 15 = b*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(208)\/(sqrt(4)*-1).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/2*(8 + 0 + 1506)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 478 + -522.1. Let s = k + 44. What is the third biggest value in -1, 0, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b**(2\/5)\/b))))**(1\/27))**(1\/4) assuming b is positive.\nAnswer: b**(2\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 25*y**2 - 26*y - 13. Let s be n(-24). Let v = 774 - 319. Calculate the greatest common factor of s and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(114) - -4*sqrt(114)*1)*3)\/(-5*sqrt(72)\/sqrt(3)))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**(2\/37)*c*c*c\/(c\/c**(-1\/6))*(c\/(((c**(-2\/9)*c)\/c)\/c))**(2\/13) assuming c is positive.\nAnswer: c**(35681\/8658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1810 divided by 6\nAnswer: 905\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16692 and 312?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -1\/4, -2.\nAnswer: -2, -1\/4, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*f - 32*f. Suppose f*a + 10 = -5*a. Let s be (-25)\/(-2) + 6\/4. Put s, -1, 0, a in descending order.\nAnswer: s, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -129, -131, -133?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6682355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 16 = h, 13*g - 12*g = h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16476 (base 10) to base 5\nAnswer: -1011401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/(h\/h**(-8)))\/h*h*h**(2\/3) assuming h is positive.\nAnswer: h**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**3 - 49*l**2 + 7*l - 7. Let x(b) = 2*b**3 + 24*b**2 - 3*b + 3. Determine 3*n(m) + 7*x(m).\nAnswer: -m**3 + 21*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 24. Suppose -15*b - y = -16*b. Solve 0 = 3*p - 15, 5*m - 4*p = b*m - 22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) + -2*sqrt(288)*-1) - (sqrt(288) + -2*sqrt(288))*-4) + (2*sqrt(288) + 1 - (sqrt(288) - (sqrt(288) - -2*sqrt(288)))*-5)**2 + 3.\nAnswer: -264*sqrt(2) + 18436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70352 minus 1384.5?\nAnswer: -71736.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d - 1. Let m be p(2). Let y be m*(-2)\/6 - 3. Let n = 1.3 - 0.3. Put y, n, 1\/2 in decreasing order.\nAnswer: n, y, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5215*x**3*y**2 + 3*x**3 + y**2 + 8514 wrt x.\nAnswer: -15645*x**2*y**2 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -17 + 5 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9303 + -9232. Suppose 5*l = -d - 3*d + 371, 0 = -4*d + 16. Calculate the greatest common factor of l and y.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*j + 27*j - 37 - 368 - 123 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*i = 75054 + 97774 + 11987. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 674? (a) 1\/21 (b) -0.3 (c) -0.04 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39081425 + -20166025999\/516. Let a = 2\/129 - v. Let t = 3827 - 61315\/16. Calculate the common denominator of a and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31.8, -1, 0.4, 0.3, -2\/9 in decreasing order.\nAnswer: 0.4, 0.3, -2\/9, -1, -31.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 29 - (3 + -2 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3864933 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 16. Let d = -5 + 3. Let w = d - z. Which is the smallest value? (a) w (b) -2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from {k: 3, b: 15}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -268*j. Let l(b) = -b. Determine v(l(q)).\nAnswer: 268*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5241*f + 5431*f - 6)*(3*f - 6*f + 2*f).\nAnswer: -190*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**5\/100 - 19*v**4\/30 + 66*v**3\/5 - 324*v**2\/5 + 223*v. Determine j so that n(j) = 0.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 1291557?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537669 <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091417817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 826.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 19*i - 101787. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 139.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(171)\/(sqrt(63)\/sqrt(7)) + 0)*1.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*w, -6*w = -5*w - 5. Let r = 0 - 5. Let b be r\/(-15) + (-2)\/(-3). Solve 2*p + 1 = -b, 2*p = -y*n - 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61598 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.328204 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-12) + (-1)\/(-2). Let l = p - 1. Suppose 4*w = x - 16 + 42, l = -5*w - 5*x + 20. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/875)\/((-15)\/2*(-1102)\/(-13775)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*v + 4 = 0, -7 = b + 3*v - 0*v. Let d(p) = 8 + p**2 + b*p - 6 - 1. Let w be d(-3). Solve 4 + 4 = -w*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16825, -21, -4 in ascending order.\nAnswer: -21, -4, 16825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + (-15)\/(-6). Let x = 7 + -4. What is the third derivative of b**4 - b**4 + x*b**a - 2*b**5 wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175853591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -430, -723, -1016?\nAnswer: -1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -531\/21800 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = -0*n, -a = 4*n + 8. Let v be 1050\/(a*4\/(-5440)). Suppose v = 5*f - 2*f. Round f to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d + 9*d + 8*d - 40*d + 11*d + 5*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18357563 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3075 and 72.\nAnswer: 73800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -57. Suppose -1 = -v + x. Suppose v*o - 29*o = -44. Do o and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200134125 - -1?\nAnswer: -200134124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 465996.099796 - 465997. Let p = v + 0.9. Round p to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19542700 rounded to the nearest one hundred thousand?\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 0*h + 9*h + 9*h in the form c*h + j and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23982 is divided by 11988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*j - 453 + 449, 4*x - 89 = -3*j. Let d(f) = -f**2 + 15*f - 10. Determine d(x).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 6676*s**2 + 40019*s + 10. Calculate k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-i**3 + i**3 + 2*i**5) + 2*i - 6*i - 3*i**5 + 3*i.\nAnswer: -9*i**5 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2665025 is divided by 141.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:26 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 24*u + 2*u. Let h be (((-4)\/204)\/u)\/((-1)\/6). Sort h, 39, 0.2 in descending order.\nAnswer: 39, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/30 + 2*v**4\/3 + 20*v**2. What is the second derivative of j(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.1. Let b = 31 + -28. Suppose 0 = b*t + 1 - 10. Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3208701 and 1305723?\nAnswer: 4119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 37b5?\nAnswer: -37ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 + 0 - -15 - (-104 - -129))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + (-16)\/(-7). Solve -p*d + 7*d = -20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4 + 3 + 279*o + 31*o. Let t be w(-1). Let j = t - -690. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 9. Suppose -2*j = -6*j. Suppose 2*o + c*o - 144 = j. What is the greatest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 - 3\/2. Let p(d) = -d**2 - d + 76. What is the remainder when p(m) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 1:00 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -328*d*v**2*z**2 - 2*d*v**2 + 14*d*z**2 + 44*d*z + 2*v*z wrt v?\nAnswer: -656*d*z**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121*60\/19800 + 0 + 2\/12?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/11 - 24*i**2\/11 - 34*i\/11 + 180\/11.\nAnswer: -2*(i - 2)*(i + 5)*(i + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 13, 917, -3, 10 in decreasing order.\nAnswer: 917, 13, 10, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-200) - (38\/(-5))\/((-64)\/60)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/13*1*3. Suppose 3*d - 3*b = 96, d - 14 = 2*b + g. Solve 3*l - 11 + d = -3*k, -4*k - 8 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 8*n**2 + 12*n - 17. What is r(-7)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 0\/4)\/1. Solve -3*z + r*h - 12 = 0, -2 = z - 0*z + h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 8*n. Let v be j(8). Let q be 2 + v\/(-3) + 0. Let z(c) = c + 3. Let d be z(5). Solve -q*i = -4*i - d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/3, -3.\nAnswer: -3, -2\/3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6944459 + -5?\nAnswer: 6944454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 622898911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/1)\/(((-168)\/(-36))\/(-14)). Sort -5, f, 306 in decreasing order.\nAnswer: 306, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 6:02 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(5*h**2 - 15 + 15 + (3*h**2 - 3*h**2 - 2*h**2)*(-4 + 1 + 4) + 2*h**2 + h**2 + 0*h**2)*(-2*h + 3 - 3)*(0*h + 4*h - 2*h).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyddyyyyyyydyyy. What is prob of picking 1 d and 2 y?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6892 is divided by 215?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38571 and 60?\nAnswer: 771420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044472476 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175635.9378 - -37.9378. Let w = 175598.93073 + k. Let a = w + -0.93. Round a to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106013954?\nAnswer: 2, 37, 1432621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 12599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42928\/527 - -1410\/17. Let t = -621\/62 - f. Let j = t + 12. Is -0.2 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 37*z**2 + 68*z + 156. Give u(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**3 - 5*j**2 - 4*j - 1. Let t be r(-1). Suppose 91 = t*o - 9. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3, -6.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5522 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 670, 975, 1264, 1543, 1818?\nAnswer: 2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 45. Suppose 164 = -2*r + 3*l, -k*r = -r - 2*l + 241. Let c = r - -222. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.872 - 16.9153. What is the smallest value in 2\/3, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3094 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2078 - -2076. Sort h, 7, 40 in decreasing order.\nAnswer: 40, 7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-3) + (-154)\/(-231))*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) -4 (c) -6 (d) -8\/7 (e) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/48 - (-4)\/6*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 5. Let c be o(-4). Let l(w) = -1. Let j(q) = 40*q + 31. Let i(x) = c*l(x) - j(x). Find the first derivative of i(p) wrt p.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + (-2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684147 a multiple of 2292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 318 + -316. Solve 0*f + w = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w**3 + w + 4*w)*(-5*w - 4 + 4) - w**4 + 4*w - 4*w + (-w**4 + 3*w**4 + w**4)*(5 - 1 - 2).\nAnswer: -5*w**4 - 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 37, 19, -17, -77, -167, -293, -461?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 - 4*h**2 + (-h + h - 2*h)*(2*h - 5*h + h))*(0 + 2 - 3).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 222949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**3 - 674*n**2 + 815*n - 74. Calculate the remainder when 196 is divided by h(-136).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437192319 to the power of 1\/3, to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121.362 * 0.4.\nAnswer: -48.5448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 1. Let t = 18 + o. Let k(x) = -8*x**2 - 2*x + 4. Let y(r) = -17*r**2 - 5*r + 9. Let q(b) = t*k(b) - 6*y(b). Solve q(g) = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -8963500.\nAnswer: -1\/8963500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2604279 - -4?\nAnswer: -2604275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -g - 10*z + 8*z, 3*g - z = 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**2 - 3*i + 21. Let x be (2*-3)\/2 - (-43 + 49). Let v be w(x). Round v to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 32 = -3*k, 31 = 3*t - 0*t - 4*k. Let d(z) = -5*z**2 + 3*z**2 - 2*z + 7 - 3*z**2 + 4 + z**3. Let q be d(t). Is q at least 2\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0 - 8, -13 = -3*w + 2*b. Let s be -1*(2 - (-1 + w)). Suppose s = 2*a + 3*a - 185. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5097*p**3 + 1840*p**3 - 1742*p**3.\nAnswer: -4999*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47798268 divided by -11949567.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/85 and 94\/20475?\nAnswer: 348075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5*q = -0*q - 53, -2*l = -q + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -106030 (base 8) in base 12?\nAnswer: -18908","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 23*f + 49. Suppose 0*q + 30 = -5*q - 4*z, 3*z + 9 = 3*q. Let l be r(q). Solve 0 = -3*x - l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59016.02 millilitres to litres.\nAnswer: 59.01602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9*u = -v + 1511199995, -755600025 = -2*u + 5*v. Round u to the nearest 1000000.\nAnswer: 378000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 32 = 4*d, 302*y + 98 = 67*d + 298*y - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34481 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 305*b - 4805. Determine x(14).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60739202*b**3*h**2 + 2*b**2*h + 6539536*b*h**2 wrt b?\nAnswer: -364435212*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0 - 216\/13*h**2 - 2\/13*h**4 - 432\/13*h - 36\/13*h**3 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-2)\/1)\/((-2)\/11) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (0 + 15 - 3) - (11 + -32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 41*z - 5*z. What is the remainder when 34 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -32434?\nAnswer: -32434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let i be -1*(12\/(-4) + 1). Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 3*c**2 + 3*c**2)*(4*c - 5*c + 9*c) + (4*c - 2*c + 0*c)*(-c - c**2 + c) + 3*c**3 + 3*c**3 - 4*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 34 + 110. Let z(c) = -c**3 + 7*c**2 - 2*c - 3. Let s be z(5). Let u = s - d. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/3 - (38\/6 + -6). Let k = 2 + y. Let q(g) = 2*g + 43. Let h be q(k). What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-3)\/((-15)\/(-10)). Suppose -2*w + 1249 = 5*h, 0 = -2*h - 5*w - r*w + 487. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37806 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (400\/15)\/(-5)*15\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20374 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-2) + 784\/(-70)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s + 24. Let y(z) = 7*z - 66. Let c be y(10). What is the lowest common multiple of 10 and o(c)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, h: 2, x: 3, o: 1, v: 2}. Give prob of picking 2 x, 1 o, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 7*z + 2695. Suppose -b + 164 = b. Suppose -b = r - z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 1, -8517 in decreasing order.\nAnswer: 2, 1, -3, -8517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1*-30 - (34 - (-1369)\/(-37)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(218*p**2 - 206*p + 206*p + (0*p + p + 0*p)*(3*p + p - 6*p) + 0*p**2 + 2*p**2 - 4*p**2).\nAnswer: -428*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 0.02. Let z = -1.88 - j. Which is the smallest value? (a) z (b) 1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292129 by -61.\nAnswer: 4789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154716 is divided by 1582?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88963384 and 2324.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/12))\/(s*s**(-4))*s**(-16)*s*s**(-19)*s)**16 assuming s is positive.\nAnswer: s**(-1396\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1433, -2880, -5303, -8708, -13101, -18488?\n\"Answer: -h**3 - 482*h**2 + 6*h - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1834 and -79\/8.\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 486, 481, 472, 459, 442, 421, 396?\n\"Answer: -2*h**2 + h + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*6.56895.\nAnswer: -1.31379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*i**3 - 46347*d*i - 2349*d wrt i.\nAnswer: -6*d*i**2 - 46347*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 12*d**2 + 11*d + 5. Let l be h(-3). Let r = l + 102. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaasajjsfss. Give prob of sequence ja.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*f - 1503 + 1251 = 0. Factor 0*v**4 + 0 + 4\/3*v**f + 1\/6*v**5 - v**3 - 1\/2*v.\nAnswer: v*(v - 1)**3*(v + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + 8. Let o = d + -25. Calculate the highest common divisor of 153 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.281998 kilograms to tonnes.\nAnswer: 0.003281998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(3888))**2 + (4*(sqrt(243) + (sqrt(243) - (-2 + sqrt(243)*2))))**2.\nAnswer: 72*sqrt(3) + 3953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(-3 + sqrt(13) + (sqrt(39)\/sqrt(3) + sqrt(13) - sqrt(13))**2 + 5 + ((sqrt(325) - sqrt(325)*-1) + sqrt(325))**2*-3).\nAnswer: -17525 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 27 = -3*n, -3*r = n - 0*n - 71. Let b = -41 + r. Let v = b + 40. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m - 3. Let s be (10\/(-6))\/(-1)*(0 - m). Solve s*z - 1 + 21 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.5748 - -6485661.5748. Let s = i + -6485572.999978. Let a = s + -39. Round a to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/61 - -148\/427. Let i = -3 + -1. Let r = 2.2 + -7.2. Which is the closest to 0.2? (a) i (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-36) + (-2)\/3)*2. Let t = 124 + -124. What is the closest to 1\/2 in t, z, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*m - 3 = 0, -3*n - 2*m + 18 = -7*n. Let v = 464.4 - 464.5. Which is the second smallest value? (a) 0.03 (b) 2 (c) v (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/5 + 9*x**2\/5 + 9*x\/5 + 3\/5.\nAnswer: 3*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-3)*-5*(-11)\/110.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.11382 times -4\nAnswer: -0.45528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*v + 23, 4*s - 3*v = 2*v + 21. Sort -3, 3, s, 4.\nAnswer: -3, s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48204 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827 - 1549 + 206 = -310*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 132 = -43*m. Solve 2*p + m*t = 0, 18 = -6*p + 2*p + t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**7\/42 + v**3\/6 - 5*v**2. What is the derivative of f(j) wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22226927 - 0.1.\nAnswer: -22226927.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 277 + 397 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d14 - -2?\nAnswer: -d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-6\/17)\/u)\/u*u**(2\/47)*u)\/((u*u*u\/(u*u*u**3\/u*u*u*u*u)*u)\/u**11))**(-41) assuming u is positive.\nAnswer: u**(-448458\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 18104?\nAnswer: -18105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9855924 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-32))\/((-1)\/4)*14. Suppose -1883 + 623 = -l*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6)*10\/(10\/417). Let s = n - -326. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 1b?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/3)\/(7\/(-21)). Solve 0 = -2*u + l*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**35*q*q*q*q*q**(-30)*q)\/(q**28)**(4\/31))**39 assuming q is positive.\nAnswer: q**(8931\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -141. Let c = 91 + j. Let o be c\/((-340)\/(-115) - 3). Calculate the highest common divisor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 9:56 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 725*u - 13768. Give y(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147126378385\/15376 + -9568573. Find the common denominator of q and -53\/12.\nAnswer: 46128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.6 - 32.4. Let m = -15 - -11. What is the biggest value in 1\/2, i, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -2*q - 170. Let g = -134 - q. What are the prime factors of g?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -733, 128379?\nAnswer: 128379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -f + 4, 4*f = k - 4*k - 3. Suppose 5*b = -f*b. Solve b = -s - 3*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5309, 10624, 15939, 21254, 26569, 31884?\n\"Answer: 5315*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189195\/16 - 11820. Let d = -21229\/4 - -22396543\/4220. Let b = d + -108483\/14770. What is the common denominator of b and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2508, -5019, -7530, -10041?\n\"Answer: -2511*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 9. Let v be a(5). Suppose 118*d + 155 = -789. Sort d, v, 2, -2 in decreasing order.\nAnswer: 2, v, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 0*c + 14 = -n, n - 2 = 3*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 311\/15150?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -160.98283*0.2\nAnswer: -32.196566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649769 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -1 + 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1620 - 6*l**2 + 25*l**2 + 6*l**2 + 5*l**4 + 2*l**2 + 855*l - 55*l**3 - 12*l**2.\nAnswer: 5*(l - 9)*(l - 3)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -173*q - 178*q + 350*q. Let k(u) = 208*u**2. What is i(k(y))?\nAnswer: -208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.000008. What is j rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - (2 - 4)) + 0. Let z(a) = -a + 9. Let i be z(4). Let q be i*(k\/15)\/4. Are 1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -12. Let y(t) = -717*t + 4. Let s(z) = -718*z + 7. Let m(p) = 6*s(p) - 5*y(p). Is m(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 equal to 10651\/243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128 a factor of 179786784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 100*t - 119. Let g be j(32). What is the highest common divisor of 273 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**2 + 4*w - 7. Let k(q) = 21*q**2 + 7*q - 15. Let j(o) = -7*h(o) + 3*k(o). Let m be j(-8). Let a = 645 + m. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5055 - -5076. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*x - 57 = 0, 18*m - 21*m - 3*x + 9 = 0. Solve 0 = -k - 3*q + 11, 3*k + 7 + m = 3*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47714, 47788, 47862, 47936, 48010?\nAnswer: 48084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5826383729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -21*a + 44. Let d(h) = -20*h + 44. Let w(k) = 4*d(k) - 5*z(k). What is the first derivative of w(i) wrt i?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2. Let h(g) = -9*g + 4. What is h(u(x))?\nAnswer: -9*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-2)\/6 - 2\/(-6). Sort -0.3, h, 0 in descending order.\nAnswer: 0, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 + 11*j**3.\nAnswer: j**3*(j + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 65. Let i be 2 + (1 - (11 + -4)). What is the biggest value in i, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.9 + -66. Let y = d + 8.1. Let f = y + -5.6. Which is the smallest value? (a) f (b) 0.3 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5873 and 60631174.\nAnswer: 424418218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2, 16259, -4 in descending order.\nAnswer: 16259, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*g + 4*k, 11389*g - 11386*g + 10*k - 35 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**4\/9 - 292*c**3\/9 + 416*c**2 + 448*c = 0.\nAnswer: -84, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-6)\/48*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181143 - -181257. Let u(t) = t + 30. Calculate the remainder when o is divided by u(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 719 + -329. What are the prime factors of k?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.65 - -4. Let z = -0.1155 - -0.5655. Let b = k - z. What is the nearest to b in 0, -9\/4, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214 divided by -5?\nAnswer: 1214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 982018948188 and 0.3?\nAnswer: 982018948187.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/2)\/1)\/(147\/(-168)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135863\/16318 + -346\/41. Are k and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0774 times 0.2?\nAnswer: -0.01548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 1 - 1)*(1 + 1 - 1) + 6*l + 3*l - l - 2*l + l + 2*l as p*l + x and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 80409122?\nAnswer: 3\/80409122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2647.92425 to one decimal place.\nAnswer: 2647.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 946641.1us in nanoseconds?\nAnswer: 946641100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405.4631 years to millennia.\nAnswer: 0.4054631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50294084 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 20 = -3*n. Let x = n + 9. Let i(b) = -3*b - 3. Suppose -3*w + 49*u = 53*u - 13, 4*u = 4. Let m(v) = 2*v + 2. Determine w*i(d) + x*m(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1774124? (a) 0 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-395)\/474)\/(9*90\/162).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09583 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -25*i + 3. Let w(o) be the third derivative of o**5\/15 + 1988*o**2. Determine w(r(n)).\nAnswer: 2500*n**2 - 600*n + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1737*q = 1755*q - 684 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -683, -1, 1 in decreasing order.\nAnswer: 11, 1, -1, -683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -9 - (13 + 3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**4 - 19324*x**3 + 96712*x**2 - 38720*x - 154752 = 0.\nAnswer: -4836, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + -8 + (1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -96 + -19?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 34*v + 63*v = -85 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4384, 2.2, -0.5, 3, -6 in descending order.\nAnswer: 4384, 3, 2.2, 2\/3, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 116 = -4. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2)*j**2)\/((j\/j**2)\/j**(-1)) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 153196281 and -0.5.\nAnswer: 153196280.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000182914 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 847387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 58. Give o(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.07, 1, 11, -541\/3?\nAnswer: -541\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1541030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (252\/(-15))\/(5\/(-1)). Let d = j - -6\/25. What is s in 4\/5 + 24\/5*s**2 - d*s - 2*s**3 = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -25 (b) 1\/7 (c) 0.1 (d) 11\/490\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*t = 0, 0*t = 5*u - 4*t + 6. Let m(n) = 3*n**2 + 39*n - 10. Let x be m(-5). What is the hundreds digit of 5 + u - (-2 + x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - -2)*-7 - 2. Calculate the remainder when h\/4*20\/(-10) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7616.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + o = 3*v - 22, 4*v - 2*o - 14 = 0. Let k = -11 - -8. What is the units digit of (-2)\/2 + k + v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2, -1\/3, 29?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1054*h. Let p(x) = 25*x**2 + 187*x. What is p(l(o))?\nAnswer: 27772900*o**2 - 197098*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1248 = u, 7*c - 4*u - 242 = 6*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2. Let k(n) = -2156*n. What is k(t(p))?\nAnswer: 4312*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/9 - 2386*n**4\/3 + 333502*n**3\/9 + 2386*n**2\/3 - 333500*n\/9 = 0. Calculate n.\nAnswer: -3625, -1, 0, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 11*u - 10. Let l be d(-8). Let s be 259\/l - (-2)\/(-4). Suppose -5 + s = z. What is the highest common factor of z and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282a2 (base 16) to base 15\nAnswer: -33b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524633 is divided by 262241.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11228 and 4433055.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241819582?\nAnswer: 2, 120909791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - 2*z**2)*(2 - 5 + 4) + 2*z + 30*z**2 + 360 - 360.\nAnswer: 28*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 515\/224 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 19*p = -48 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c - 63*c + c**2 + 33*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/280*-10*3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/4)\/((-1)\/32). Let j be (4\/(-20 + 4))\/(3\/(-132)). Calculate the greatest common divisor of j and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) 4 (c) 6\/253 (d) -4 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 24 = -44*l - 6*u, 5*l = -5*u + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 25, -2*n - 1004 = -4*v - n - 893 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwkk when four letters picked without replacement from kkkkkkkkkkwkkkkkkkkw?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -3. Suppose -c = c + 3*s - o, -12 = -4*s. Suppose -4*d = c*r - 24, 2*d - 2*r - 24 = 3*r. Solve -d - 2 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 3. Let c(p) = 6*p + 5*p**3 + 42*p**2 + 1 - 47*p**2 - 7*p - 3*p**3 + 5*p. Let n be c(2). Give k(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768707.\nAnswer: 31, 137, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 93 - 421 = 0. Suppose f*z + 3834 = 39*z. What is the units digit of (5\/(-15))\/(3\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - 5 - 6*f**3 + 0*f**3 + 5*f**3 in the form z + m*f**2 + v*f**3 + y*f and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*y + 4*y = -160, -118 = 2*l - 3*y. Let i = l + 102. Let x = i - 25. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 275 + 1115 = 0. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5854.9 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-2) + 1070\/(-200). Let y = 1\/10 + a. Put 2\/13, -5, y in descending order.\nAnswer: 2\/13, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 6*d**2 - 3*d - 4. What is j(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 10. Let u be d(-6). Find the second derivative of 0*r - 11*r**2 + 6*r - u*r + 8*r wrt r.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 2 - 2 - y**2 - 5*y**2 + 5*y**2 + 4 - 4 + 4*y**2 + (2*y**2 + 3*y - 3*y)*(-44 - 67 + 96).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:01 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 96. What is the nearest to 1 in h, 0, -0.36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, -3, 57, -1 in increasing order.\nAnswer: -3, -1, 0, 15, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 1.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - 2*(sqrt(77) + (1*sqrt(77) - sqrt(77) - sqrt(77)))) + -3*-2*sqrt(77))*5)\/(2*sqrt(28) + -3*sqrt(567)).\nAnswer: -40*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17*l - 33. Give g(3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 140221\/5 and 28045 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 = 2. Let v(j) = -j**2 - 6*j + 7. Let p be 81\/(-12) + (-1)\/4. Let c be v(p). Is c at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*v - 9, 3*v + n + 10 + 1 = 0. Let s(p) = -p**3 - 5*p**2 - 6*p - 6. Let m be s(v). Suppose -2*g + 3*g = 0. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-356)\/(-3)*16\/(240\/81). Let m be (-66)\/231 - ((-48)\/70 - 2). Find o such that m*o**5 + 416*o + 80 + 356*o**3 + t*o**2 + 268\/5*o**4 = 0.\nAnswer: -10, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-46)\/69*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6)**(8\/7) assuming b is positive.\nAnswer: b**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*q + 117, -3*q = -8*q. Suppose 0 = -3*b - 5*m + 103, -5*b - 2*m = m - 145. Calculate the highest common divisor of b and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -16*c - 63. Which is bigger: -5 or c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/(-234) + ((-1411)\/6)\/(-17)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -19. Suppose 0 = -5*j - o*j + 73000. What is j rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - -63 - (11 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*24\/(-64)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 30\/877, -1 in decreasing order.\nAnswer: 30\/877, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 5*f - 6. What is the lowest common multiple of h(-3) and 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:52 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-44))\/((1*-2)\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 15 + 41)*(3 - 4 - 4*k + 3).\nAnswer: -20*k + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80562*n**2 - 73997*n wrt n.\nAnswer: 161124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541565, -541564, -541563, -541562, -541561, -541560?\nAnswer: -541559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + b = -144, 497*b = 4*v + 492*b - 581. Calculate the remainder when 963 is divided by v.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105818473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 3*k)*(16*k**2 - 95 + 95) + (k**2 - 4*k**2 + 2*k**2)*(2*k + 2*k - 2*k) as o*k**3 + u*k**2 + q*k + h and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638.262 centuries in decades?\nAnswer: 16382.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + 18\/(-4). Let j be (-1 + 2)\/((-2)\/r). Suppose j*p + 2*p - 160 = 0. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1111 - -31?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6514 - -6518. Let s(w) = 5*w - 4. Let f be s(3). Solve -5 - f = -n*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q + 14. Let s(t) = -4*t - 8. Let i(g) = 4*g + 5. Let r(x) = -5*i(x) - 4*s(x). Calculate -3*j(v) + 5*r(v).\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 - 4*o**2)*(0 + 1 - 2) + 3*o**2 + o**2 - 6*o**2 + (3*o - o - o)*(2 - 2 - o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3 - 4 + 141*w - 4 - 11*w**2 - 158*w + 3*w**2. Let v(o) be the third derivative of o**5\/30 + o**4\/6 + o**3\/6 - 3*o**2. Calculate -2*l(k) - 9*v(k).\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 0.0156337?\nAnswer: -0.002188718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1644\/75 - 6776\/308?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2738788.5 (b) -0.5 (c) -2 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 6:33 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/21 + (-4)\/(-14). Let u = 94 - 91. Let k be (u - 1)*(-4)\/2 + 7. Solve -4*a + 5 + k = z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = -17*i + 37*i - 2*k, -5*i = 2*k - 8 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-294)\/(-56)*(-280)\/3. Let u be 8\/37*(8 - d\/(-60)). Does 1\/3 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 101?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 15.5 (b) -3\/4 (c) -123 (d) 0.018 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -30*g + 104 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124963 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 25*d**3 - 8*d - 5. Let i(h) = h**3 + h + 1. What is -b(n) - 5*i(n)?\nAnswer: -30*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (10 + -24 + (0 - 8)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3373 - 929. Is x a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 13*k**2 - 10*k + 29. Let g be z(-7). Let o be -1 + (-1547)\/8 - 1. Let s = g - o. Which is the biggest value? (a) -3 (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 51. What is the highest common factor of p and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 10 = 17*b. What is the first derivative of -60 - 16*u**3 + 58 - b*u**3 wrt u?\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3721 is divided by 221?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**3 - 4*s**2 - 7*s - 2. What is y(-4)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10554 and 18?\nAnswer: 31662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/2 + 2 - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132482 is divided by 813?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-315)*(-17)\/((-238)\/(-21)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*1\/2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 102, 196, 280, 354?\n\"Answer: -5*l**2 + 109*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 y when four letters picked without replacement from {y: 4, s: 4, j: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3289803?\nAnswer: 1644901.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1 (c) 62 (d) -5\/2 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002918183 rounded to seven decimal places?\nAnswer: -0.0002918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*d + 74 = -368*d + 3*m, 4*m - 9 = 5*d + 85 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 1980*z**2 + 88641*z + 943. What is q(943)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 - -171. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r. Suppose -2*d = -n, 5*n = 4*d + 11 + 1. Let k be t(n). Suppose 3*l = k*l - 145. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185584220*s**2 - 24157224*s + 1 wrt s?\nAnswer: -371168440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1230 and 620166.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 + 16*u + 32)*(1 + 2 - 6)*(2*u - 5*u + u) to the form i*u**2 + f + l*u and give i.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 287627327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22155.\nAnswer: 3, 5, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2431 + 4816*c - 2084 - 4815*c to i + r*c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*6*28\/126?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 161220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1449*k**3*q**3*v**2 - 22*k**3*v**2 + k**2*q**3*v**2 + 2*k**2*q**3*v - 3128*v**2 wrt k.\nAnswer: 8694*q**3*v**2 - 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 + -88. Suppose 42*r = 868 + 6 + 974. What is the greatest common divisor of r and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -117475*p. Let r(m) = -32*m + 1. What is r(c(s))?\nAnswer: 3759200*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*5\/(-10)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) -1 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + d - 2. Let g be w(2). Let z = -9 + g. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = g - 4*x, 1696 = 4*g - 3*x + 61. What is the highest common factor of g and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o - 453. Let r be (-3)\/(6\/(-470)) - 1. Let f = r + o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 z, and 1 d when four letters picked without replacement from fffwuzfzfzdfduwuzzzw.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 19 = 4*n. Let h = n - 11. Let m = h + -8. Solve -2*j - m = 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 + 3 = -2*r, -9 = -3*r + 2*b. Suppose i - x - r = 0, -7 = -3*i + x + 16. What are the prime factors of (248\/(-6))\/((-6)\/i)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-123)\/(-6)*(-141 - -1). Let l = -17261\/6 - a. Find the common denominator of l and -17\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 57*p - 3192. Determine z(56).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*m - 13 = -2*v, 24 = -5*v - 4*m. Find the common denominator of 41 and v + (-397)\/(-130) + (-2)\/13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*g**3 + 14*g**3 - 5*g - 4*g**3 + 3*g**3 + 5*g**3 - 6*g**3 + (-95 - 5*g**2 + 95)*(0*g + 0*g + 7*g).\nAnswer: -35*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (-5*sqrt(304)*-2 - (sqrt(304)*1*-3)**2)).\nAnswer: -13705 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/9 - 6) + 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193875 divided by 7755?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-4) - 1016\/192 and (39\/(-45) + 1)\/((-16)\/(-664))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.6255 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58112 and 65136.\nAnswer: 236573952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 8*i + 14344 = 0. Suppose -8*l + 3255 = -i. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 566*g + 210. Calculate b(-1).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -26 + (-42 - -38) + (0 - 3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 8*i**2 - 55*i - 369. What is y(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(-4 + (sqrt(28) + (sqrt(28) - sqrt(112)))**2 + (sqrt(7) + (sqrt(7) - (sqrt(35) + -2*sqrt(35))\/sqrt(5)) + sqrt(7))**2 + -4).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208524493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/3 - 11*j**2\/2 - 7*j. Find the first derivative of g(r) wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -79*q**3 - 2*q**2 - 2. Let z(r) = 80*r**3 + 2*r**2 + 1. Give 3*k(l) + 4*z(l).\nAnswer: 83*l**3 + 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 2*r**3 + r**3)*(r - r - 2*r + (2*r - 3*r - r)*(-2 + 2 + 1)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 263763200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-10)\/(-2) + -1. Let l be (f\/10)\/((-1)\/(-5)). Suppose -7*s + 15 = -l*s, -5*c + 263 = s. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 1. Let q(o) = -o**2 - 3*o - 2. Let t(n) = 2*p(n) - q(n). Let u(h) = -h**2 - 4*h + 5. Let a = -21 - -17. Let g be u(a). Determine t(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 93. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031 + -10204430?\nAnswer: -10211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 15. Suppose s = 6*r - r - 20. Suppose 3*g - 67 = -3*b + g, r*b - g - 82 = 0. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810 > 2829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 6, 22, 56, 114, 202, 326?\n\"Answer: y**3 - 3*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25746, 51492, 77238, 102984?\n\"Answer: 25746*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10}. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322497834 and 2406?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -292821.9 to the nearest 1000.\nAnswer: -293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -5*v**2\/2 + 2*v - 18. Let q(u) = -4*u + 2. Give 6*q(j) - 5*x(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47413002 is divided by 4555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = 36*x - 29*x. What is the common denominator of 131\/18 and x\/(-1450)*50\/(-40)?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34219?\nAnswer: 19, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4\/75 (c) 0.31 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 348*k + 34. Calculate the lowest common multiple of v(3) and 4.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {q: 2, i: 4, d: 1, h: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3887 or 4505?\nAnswer: 4505","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-144)*-21*(-6)\/(-14)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 952875 and 5775.\nAnswer: 952875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 598671 and 376941?\nAnswer: 10177407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 142443?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*l = -233*l - 16735 - 636 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 4 + 5*w - 7*w)*((0*w + 0*w + w)*(0 + 1 - 6) - 1 - 2*w + 1 + 33*w + w - 10*w) in the form o*w + c*w**2 + l and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -49260+0.022\nAnswer: -49259.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 5*j + 14. Let k be s(-7). Which is smaller: 32 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13. Let s(n) be the first derivative of 1\/2*n**4 + g*n + 1 + 0*n**2 - 1\/3*n**3. Factor s(c).\nAnswer: c**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:30 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10}. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4))**31*(l**(-1\/5)\/l)\/(l**(-2\/15)*l))\/((l\/(l\/((l\/(l**1*l))\/l)*l*l))**(-8\/9)*(l\/l**(2\/7))**46) assuming l is positive.\nAnswer: l**(-38719\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1142, 1079, 1016, 953, 890, 827?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3274834*l. Let m(d) = -24*d. Calculate q(m(g)).\nAnswer: 78596016*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 65, 104, 147?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1932)\/(-490))\/(4\/(-7))*(-184)\/138.\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5719.53771 to the nearest ten.\nAnswer: -5720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (-36)\/(-8))*0. Suppose 2*y - 370 = -s*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 44333034?\nAnswer: -44333031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 5*c + 8 = -c, -5*k + 2*c = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1489, 1441, 1405, 1387, 1393, 1429, 1501, 1615?\nAnswer: 1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/40)\/(8\/(-32)))\/((-3)\/(-40))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*h = 0, -45*h = 5*k - 49*h - 2. Solve -10 = 4*y + k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317029 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175522817 rounded to three decimal places?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104960?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479, 482, 485?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -5. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1864208 and 592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42985973 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 10776 + 255. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlxwoxdoduxl. Give prob of sequence udox.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2 - 440*v - 24200 = 0. Calculate v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*a - 30, q = -2*q - a + 28. Let f = q + -7. Let u(z) = 18*z. Let h be u(2). What is the greatest common factor of f and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + l**2 + 0*l**2 + 0*l**2 as t*l**2 + y + j*l and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-1 - 0\/(-21)). Let f(g) be the third derivative of 0*g**4 - 1\/210*g**b + 0 + 0*g**3 + 0*g**5 - 8*g**2 + 0*g - 1\/336*g**8 + 0*g**6. Factor f(d).\nAnswer: -d**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -0.05. Let t = -0.05 - z. What is the third smallest value in t, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8275258?\nAnswer: 2, 4137629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 2017 = -n - 6*q, -4*n + 8101 = -5*q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*5\/(-15) - (0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 636935?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Let x = 7.76 - -0.04. Let o = x + -8. What is the nearest to 1 in 3, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147275 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s + 14. Let p(z) = 5*z - 7. Determine -13*p(w) - 6*v(w).\nAnswer: -5*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534761.\nAnswer: 37, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8359*h - 10126 + 16707*h - 8350*h + h - 3*h + h + (0 + 0 + 2)*(5*h - 4*h - 2*h) in the form n + s*h and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -3. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5\/3)*y*y\/(y\/(y**(2\/7)*y*y)*y*y))**(-24)*y\/(y\/y**7)*y**0*y**(-2)\/y*y**(-7) assuming y is positive.\nAnswer: y**(-685\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6355314 divided by 53406\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.742 + -0.042. Let j = v + -1.7. What is the third biggest value in j, -1\/2, 41\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.4 (b) -195 (c) 5 (d) 1\/3 (e) 4 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - (-172)\/(-602). Suppose o = -3*x - 4*m + 20, 2*x - 9*m = -7*m + 32. Let x + 1\/3*g**2 + 4*g = 0. What is g?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5))**(2\/37)*s**1*s**(-2\/9))**(-14) assuming s is positive.\nAnswer: s**(-18634\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 152309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-500)\/85) + (-33)\/153\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2754 is divided by 315.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/9, 2.1, 0.255, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19005 is divided by 292?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-2 + sqrt(50))\/sqrt(10).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -9*n + 3. Let t be ((-4)\/90)\/(1\/(-10)). Which is bigger: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1636 + 2628*l**2 - 3484 + 1848.\nAnswer: 2628*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1572823 = 8*a - 6*a, -5*t - 15 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**2 - o**2 + 3*o**2 - o**2 + 3*o - 2*o**2 - 3*o + (0*o + o - 3*o)*(4 - 4 + o) + o**2 - 3*o**2 + o**2)*(-52 + 24 - 22).\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 y when four letters picked without replacement from {p: 5, y: 9}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 74, 102, 148, 212?\n\"Answer: 9*s**2 + s + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12201 - 12201.3. What is the closest to -4 in v, 0.5, 712?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933711.\nAnswer: 3, 311237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**17*w*w)*w**(-15\/4)*w**(-1\/34)\/(w*w*(w\/(w\/(w*w**(24\/7))))\/w))**(-5\/9) assuming w is positive.\nAnswer: w**(7195\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -71. Calculate the remainder when ((-22)\/(-11))\/(1\/38) is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = x - 597, 3*q + x = 513 - 156. Suppose -16 = g - 5*r + 14, 0 = 4*g - 3*r + q. Let s(d) = 19*d + 47. Let h be s(-4). Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-6)*k**2)\/(k\/(k*(k\/k**(-1\/4))\/k)*k\/(k**(2\/21)*k)) assuming k is positive.\nAnswer: k**(869\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(-49 + 14965\/328)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1604?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 + 1. Let h be x(-1). Solve 0*w - 15 = -h*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*p - 4*s + 44 = -687*p, 0 = -2*s + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*v = -10, 14 = -54*x + 59*x - 3*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-2 + 6\/(-6)). Let v be 38 + 3 + (-4)\/(d\/1). What is the highest common divisor of v and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 43400*p - 5121171. What is j(118)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - (sqrt(110)*-3 - sqrt(110)))*6)\/sqrt(11))\/((sqrt(24) - (sqrt(24) - sqrt(120)\/(sqrt(30)\/sqrt(6))))\/sqrt(12)).\nAnswer: -29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 86112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 3. Let q be i(3). Suppose p + 34 = q*p. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0.18 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 428490, 856980, 1285470?\n\"Answer: 428490*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91304 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16595*c**2 + 122*c - 2. Is 13 a factor of s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*m = 24, 0*m = 2*i + 4*m + 4. Let d be (-56)\/(-12) - 4\/i. Suppose -6*w = -d*w - 24. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let i be (2\/4)\/(6\/(-4)). Let p = 3.95 - -0.05. Which is the closest to 1? (a) w (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + ((2*sqrt(5) - sqrt(5)) + 0)**2 - sqrt(45)\/(sqrt(9)*2).\nAnswer: sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 16973152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*l**3 - 2*j**2 - 2*j*l**4 - 3*j*l wrt l?\nAnswer: -30*j**2*l - 24*j*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -63*j - 166. Calculate the remainder when 135 is divided by i(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*u - 4*f, 3*f + 3 = u + 9. Let b(q) = 16*q**3 - 6*q**2 + 3*q + 2. Let w be b(u). List the prime factors of 5\/15 + w*(-1)\/(-3).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-63)\/(-39) - 14964\/1118?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 27*x**2 + x - 2*x as l*x + g*x**2 + a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1045404 and 147240?\nAnswer: 10454040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7.119. Let m = 250.291 - 251. Let p = z + m. Round p to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9855702 litres in millilitres?\nAnswer: 985.5702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y - 2 + 26*y - 17*y - y**4 + (-2*y**2 + 5*y**2 - 2*y**2)*(-5*y**2 + 2*y**2 + 2*y**2).\nAnswer: -2*y**4 - y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223797969 + -25.3934.\nAnswer: -223797994.3934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d603 (base 14) in base 7?\nAnswer: -1422303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*n + n + 4 = 0, 0 = j - 5*n - 8. Let p be (-1 + -3)\/(j\/(-3)). Let b = p + 12. Solve 3*o + q = 14, -5*q = -b - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 18 = 63. Let d be (-6)\/o - (-544)\/18. Let a = d + -19. Calculate the smallest common multiple of 7 and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g**2. Let z = -168 - -167. Calculate q(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8499 is divided by 328.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 2, q: 1, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80, 177, 272, 365, 456, 545?\n\"Answer: -s**2 + 100*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(1\/(-10)). Let g be 2\/t - 193\/(-5). Let p = -35 - -61. Calculate the greatest common factor of p and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 1235, -13, 2\/259, 2?\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.791005g in milligrams?\nAnswer: 6791.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 998538 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5889483*l + 4 - 4 + 5884886*l + (-1 + 1 - 1)*(-l + 0 + 0) to the form p + a*l and give a.\nAnswer: -4596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225 - -232. Let w(p) = -p**2 + 10*p - 13. Give w(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/((-20)\/(-5)))\/(2\/186). Let u = -79 - o. What is the lowest common multiple of 10 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10424 - 0.6.\nAnswer: -10424.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.08 (b) -2472 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529272673?\nAnswer: 1529272673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239550 and -0.082.\nAnswer: -19643.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:58 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w**5\/11 + 146*w**4\/11 + 130*w**3\/11 - 170*w**2\/11 - 160*w\/11 + 24\/11 = 0. What is w?\nAnswer: -3, -2, -1, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1, 5, -48, 107, 2\/5 in ascending order.\nAnswer: -48, -2, 2\/5, 1, 3, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.6. Let x be 4\/(-16) - 10\/(-24). Let h = -1\/226 + 463\/2486. Which is the nearest to -1? (a) r (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -32. Let r = 141 + -100. Suppose a = r - 37. Put v, a, -1 in descending order.\nAnswer: a, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-2)*(o**(-5\/6)\/o)\/o*(o**(-2\/3)\/o*o*o)**(-7) assuming o is positive.\nAnswer: o**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 7) + (-5 - (-11 + 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 91 = 99 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1721 and -1978176.62.\nAnswer: -1979897.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2107952 divided by -36344?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 3 + (-2)\/2. Let d(t) be the first derivative of t**3\/3 - 7*t - 17. Let i(w) = w**2 - 10. What is m*d(r) - 5*i(r)?\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**6\/120 + 3*w**4\/8 - 9*w**2\/2 + 5. Let h(l) be the second derivative of m(l). What is the second derivative of h(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*2)\/(-1) - (-355 + 348). Let f = 21 - 10. Calculate the highest common divisor of f and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 11) to base 10.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/5 - 19\/15. What is the nearest to v in 1, 3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*(-2)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136942 and 52670.\nAnswer: 684710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2874 - -2878. Solve y*b = 4, -5 = 3*x - b - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 5, -23, -281, 0 in descending order.\nAnswer: 5, 3, 1, 0, -1, -23, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/76 and (2193\/34 - 23)*(2 - (-379)\/(-190)).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88504 and 11132.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*w + b, 10*b - 780 = -290 - 257 - 283 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:14 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -19*t**2 + 5*t - 1. Suppose a - 3 + 1 = 0. Let g be c(a). Let i = 69 - g. 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: Add 0.058 and 5913.\nAnswer: 5913.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104)*1 + sqrt(104))*5 - sqrt(104)*-2*-4)\/((sqrt(72) + 1*sqrt(72) + sqrt(72))\/(4*sqrt(18)\/sqrt(2))))**2.\nAnswer: 832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -217 + 204 - (-10 - (-6 + 6) - (-1 + -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 24 = -1. Let r = -46.8 - -47. Which is the nearest to r? (a) m (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 279*i**3 - 3051*i**2 - 11085*i - 12150.\nAnswer: -3*(i + 2)*(i + 5)**2*(i + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6809, -6716, -6597, -6452?\nAnswer: -6281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - -2596786.\nAnswer: 2596744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268133 by 4.\nAnswer: -268133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1434, -2961, -4478, -5985, -7482?\n\"Answer: 5*k**2 - 1542*k + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (((sqrt(121)*-3 - sqrt(121))*6 - sqrt(121))*-4)\/(4*(sqrt(22)\/sqrt(2) + sqrt(11))*-2))**2.\nAnswer: 375*sqrt(11)\/2 + 21825\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**6\/120 - p**5\/10 - p**4\/6 - 5*p**3\/2 + 133*p**2\/2 - 113. Let r(o) be the second derivative of a(o). Calculate r(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwcw when four letters picked without replacement from {f: 3, c: 2, q: 3, w: 7}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Suppose b*q + 669 = 4*y + 274, 4*q + 297 = 3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 128. Give p(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776aa9 (base 11) to base 13.\nAnswer: 34503c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/3)\/((-1)\/3). Sort 5, 42, c in descending order.\nAnswer: 42, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18239.3916 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 18. Let b(m) be the third derivative of -m**6\/120 + m**5\/12 + m**4\/12 + m**3\/3 - m**2. What is the units digit of b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 165*n - 81*n - 5*x = -335, 0 = 5*x for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -109265537.7 and 0.52.\nAnswer: -109265537.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53, 84, 113, 140, 165?\n\"Answer: -k**2 + 34*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z. Let l(m) = -23*m**2. Give l(q(j)).\nAnswer: -2783*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/360*-8*(-1)\/2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 3*g**2 + 3*g**2)*(3 + 2 - 3 - 2 + 3 + 0 + (-3 - 3 + 5)*(3 - 5 + 0) + 5 - 4 + 1 - 2 - 3 + 3 + 1 - 9 + 1 + 2 + 1 - 5)*(-2*g - 1 + 1).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35970000 rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49277 is divided by 24549?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 96 = -3*j, 2*y - 160 = -3*y + j. Suppose 0 = -4*x + 4*n + 72, 2*n + 13 = -x + 31. Calculate the remainder when y is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04912636445 to 5 decimal places.\nAnswer: 0.04913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 3. Does 16 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 - 7*r + 7. Let k(l) = l**2 + l - 1. Calculate -21*k(c) - 3*n(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 47330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1302 divided by -12563.\nAnswer: -1302\/12563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -986.8 + 987. What is the third biggest value in d, -0.5, -2, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*x - 13 + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 528 = -0*z. Suppose 0*t - z = -2*t. Calculate the highest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q. Let u = -55 - -77. Let i(l) = 21 - 19*l**2 - 16*l**2 - u. Determine i(a(m)).\nAnswer: -315*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 726838.4 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q + 6. Let d = 11 - q. Let u = d + 2. Solve 5*n + 8 = 4*c, -u*n - 4*c - c + 10 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 c when four letters picked without replacement from {d: 4, x: 1, q: 2, c: 4, o: 3}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 13 (c) 19 (d) -1\/3 (e) 11\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/378 and 49\/297.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, b: 15}. Give prob of picking 2 k and 1 b.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -72*c**3 + 17376*c**2 - 1056986*c + 1039682 = 0.\nAnswer: 1, 721\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2012\/7 + 2010\/7. Let d = -4.8 + 5. Let p = d + -0.2. What is the nearest to 5 in 2\/5, j, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 9*y**2 - 15*y + 17. What is n(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-56)\/(-6))*-4. Suppose -30*j + 5*c + 499 = -26*j, -t*j = -3*c - 378. Calculate the remainder when j is divided by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726416 (base 12) to base 8.\nAnswer: 6660322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14807443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 13. What is the remainder when b(11) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 24. Solve k*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8616, -16204, -23792?\nAnswer: -31380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50703.7439 + 50735. Let y = u - 31.586142. Let x = 0.33 + y. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-8)\/10) - (-38 + 19 + 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -20*g**3 + g. Suppose -10 = 4*t - 6. Is v(t) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2936 - 951 = -95*m - 4095 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174 and 3282.\nAnswer: 95178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 1\/70*w**7 + 16*w**2 + 2401\/2*w**3 - 343\/2*w**4 - 7\/10*w**6 + 0*w + 147\/10*w**5 + 0. Factor f(a).\nAnswer: 3*(a - 7)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v - 21. Let p be n(6). Let c(j) = -2*j + 1. Give c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/22 and -71\/9024.\nAnswer: 99264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/24 - 13*f**5\/12 + 115*f**4\/24 - 55*f**3\/6 + 3*f**2 - 401*f. Let m(b) = 0. What is b?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -220 (c) 131\/146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 2*b**2 - 2*b**2 + (98*b + 123 - 123)*(3*b + 1 - 1))*(b - 2 + 2).\nAnswer: 295*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -73. What is the common denominator of -31\/10 and (-90)\/75 + 2*s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:44 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831623337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-55)\/25 - -2 - (-76)\/5. Calculate the greatest common divisor of 165 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 498 = -3978. List the prime factors of m.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3032341 - 32?\nAnswer: 3032304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4717\/8162*-11)\/(6\/84).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 10*c - 48. Solve -w + 2 - c = 4*g, 4 = 2*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2108, 7628, 16824, 29696?\n\"Answer: 1838*i**2 + 6*i + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2*a**4 + a**3\/3 + 8*a**2 - 7381*a + 1400. What is the derivative of j(o) wrt o?\nAnswer: 24*o**2 + 2*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 373.5 (b) 332 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 7*k - 5*k - k - 2*k**3 - 1 to the form y*k + x + z*k**3 + g*k**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5486111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1914 + 1905. Put -0.2, -0.3, p in decreasing order.\nAnswer: -0.2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 - 16358*y + 36160180 = 0. What is y?\nAnswer: -9989, 1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8423000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 40.2. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdaadlxauaad. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + sqrt(637) + -1 + sqrt(637) + -5 + -1*sqrt(637))**2 + -3*(-2 + (3*(sqrt(637) + -1 + sqrt(637)))**2).\nAnswer: -68098 + 630*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100123 and 52607?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12966.58 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 9 - 5574*i + 650*i - 1.\nAnswer: -4924*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/30)\/(52\/39)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 23, 34, 47?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 663 + -609. Let z(d) = -d**3 + 20*d**2 + 49*d + 47. What is the remainder when z(22) is divided by o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -18724.84?\nAnswer: -299597.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*x + 22, -3 = 5*x + 7. Solve -4*m + 3 = -5*v - 16, 0 = -v + 3*m - n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*14\/147*(-5)\/10.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + p - 8. Let n be s(-6). Let l be -3 - (2 + 2 + -6). Let z be l - (-1 - (-4)\/n). Is 0 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -11. Solve 6 = -i + 4*r, -r - 1 + b = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*p**2 - 1885 - 606 - 835 + 14*p**2 - 16*p wrt p?\nAnswer: 52*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 7) to base 9\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 208795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -23. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -448\/15 + 1342\/45. What is the common denominator of 47\/150 and t?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + 1.7.\nAnswer: -78.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 47962a93?\nAnswer: -47962a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:03 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + 2\/5. Let d(w) be the second derivative of 0*w**2 + 1\/24*w**4 + 0 + 1\/40*w**5 - 1\/60*w**6 + w - 1\/84*w**7 + t*w**3. Let d(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-287*l + 131*l + 137*l)*(-1 + 3 + 0)*(2 - 2 - l).\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 - n + 8. Let i be c(6). Suppose -4*x + 14 = w, -4*x = -i*w + 8 + 56. Solve 4*r = 5*q - 3*q + w, -2*r + 25 = -5*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -538, -1252, -2432, -4072, -6166, -8708, -11692, -15112?\n\"Answer: l**3 - 239*l**2 - 4*l - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-250)\/(-70) - 3) + (-6289)\/(-7). Suppose 3*k - 616 = k + 4*u, 3*k = u + p. What are the prime factors of k?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263165398 to the power of 1\/2, to the nearest integer?\nAnswer: 16222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 66*l**2 + 62*l - 26. Calculate the remainder when 54 is divided by c(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -2*h**3\/3 + h**2\/2 + h - 4. Suppose 5 = 2*q + 1. Calculate t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101001221 + -10?\nAnswer: 101001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 36380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*w = -48*w + 23*w - 1440 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Let t = 161 + -153. Solve -5*y + n = 4*f + 19, 5*y + 2*f + t = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, e: 4}. Give prob of sequence ee.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2244*d*z**2 + 1105*d - 2*z wrt z?\nAnswer: -4488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -15\/53, -2\/9, 3\/3955, 0.2?\nAnswer: -15\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -1. Let n = -4.00000055 - p. Round n to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 + 20. Let h(j) be the third derivative of 3*j**4\/2 - 200*j**2 - 5. Determine w(h(g)).\nAnswer: -3888*g**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -166 + 66 - -30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -5*q**3\/3 - 130*q**2 + 540*q - 92. Factor j(w).\nAnswer: -5*(w - 2)*(w + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12082796651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 + 6*q + 10. Let r be i(-1). Let w = -6 + 11. Suppose 2*s + 8 = r, 2*h + w*s = 3*h - 32. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 347 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202831 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54326.91 - 54066. What is y rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -5*y - 2*j, -2*y + 2*j + 204 = 36. What is the remainder when 185 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n**3 - n**2 - n + 1. Let s be (23 - 25)*(-2)\/4. Let k be y(s). Let p be -6*(-1)\/(8\/k). Is -8 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 87.082. Let r = a + -0.08. Round r to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -647 in increasing order.\nAnswer: -647, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1971 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 5551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*3 - 0) + 3. Let l be 2\/(-2)*-3 + n. Suppose -2*r + l*r + 8 = 2*v, 4*v = -3*r + 9. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 5*o**2 - 3*o - 2. Let n be 1452\/(-2)*(64\/(-24))\/(-4). Calculate the smallest common multiple of r(3) and (3\/12)\/((-11)\/n).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -4)\/28*-8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 438, 434, 428, 420, 410, 398?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671654.43 rounded to the nearest 100?\nAnswer: 1671700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*p + 468 + 24 = 0, 20 = 5*p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**3 - 205*g**2 - 1385*g - 1175 = 0.\nAnswer: -5, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 17*o - 12. Give w(8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10)*o\/(o*o*o*o\/(o*o*o\/o**5*o)*o*o)*(o*o**(-2\/7)*o)\/o*o**(-2\/5)\/o**(-3)*o**31 assuming o is positive.\nAnswer: o**(641\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 2316215969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 + a**2 - a. Let q be m(2). Let r = q - -14. What is the closest to r in 3\/4, 0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let r = u + 2.9. Let f = 1.6071 - 1.6071. What is the fourth biggest value in f, r, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h = 35*h. Suppose h = -42*i + 45*i - 3021. List the prime factors of i.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3229 in descending order.\nAnswer: 3229, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10683966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykysysyqppyqyqqs. Give prob of picking 1 q and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g. Let q be b(3). Is q\/(-4)*70\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 3}. Give prob of sequence awa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**7\/840 - a**6\/360 - a**5\/120 + 3*a**4\/8 - 11*a**3\/6 + 12*a. Let c(h) be the second derivative of f(h). Give c(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Let k(y) be the second derivative of y**8\/6720 - y**7\/630 + y**5\/120 + y**4\/12 + 4*y. Let h(n) be the third derivative of k(n). Determine h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (((sqrt(19) + 0 - sqrt(19))*5)**2 + sqrt(19) + sqrt(19) + -4*(sqrt(76)\/sqrt(4))**2)*-4 + -4.\nAnswer: -8*sqrt(19) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a**2 + 2*a - 3. Let x be y(2). Let c = 6 + x. Let m(l) be the third derivative of l**4\/12 - l**3\/6 - 3*l**2 + 3*l. What is m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 924922.9 days?\nAnswer: 79913338560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 z when three letters picked without replacement from {o: 1, s: 1, z: 5, y: 3, h: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -83\/31?\nAnswer: -83\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -2*i. Let q(l) = 11 - l - l + i*l. Let c(y) = -7*y + 51. Let r be c(8). What is q(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let a(v) be the second derivative of -v**5\/20 + 5*v**3\/6 - v. Let i(y) = -4*a(y) - 9*t(y). Find the second derivative of i(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*s - 48091 - 18213. Is 112 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-4 + 1 - (13 + -24)) + -7.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 316*c**2 - 63*c**3 + 9252 - 9234 - 334*c**2 - 18*c. Let d(x) = 4*x**3 - 5 + 5*x + 14*x**3 + 3*x**2 + 2*x**2. Calculate 18*d(o) + 5*t(o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3268*x + x**2 - 95 - 109 + 3268*x - 3*x**3 + 0*x**2 to w*x**2 + n*x + q*x**3 + l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31143632309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1937*g - 158. Let z be (40\/12)\/(0 - 2\/3). Is l(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 108?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -179? (a) 1\/5 (b) 2 (c) 3 (d) -36 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2000 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n*z**3 + 122*n - 1102*z**3 wrt n?\nAnswer: z**3 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*d - 444, 0 = 5*d - 4*a + 482 + 73. Let z(x) = 3*x**2 - 7*x + 1. Let u be z(5). Let l = u - d. Calculate the highest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 51 = -2*b + n, 0 = n + 3. Suppose -i + 0 = -b. What is the common denominator of (-6)\/i + 59\/60 and 85\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(91)*-1 + sqrt(91))*-4)\/(2*(sqrt(700) - ((-1*sqrt(700) - sqrt(700)) + sqrt(700))) - sqrt(700) - sqrt(700)).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -308*u**4 - 214*u**4 + 650*u**4 + 13*u**3 + (2*u**2 + 3*u**2 - 6*u**2)*(3*u**2 + 2*u**2 - 4*u**2).\nAnswer: 127*u**4 + 13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49784793 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - k**2 - 9*k. Let z be ((-6)\/(-4))\/((-9)\/(-162)). Suppose 4*u - 15 = -z. Let c(y) = y**3 + 5*y. Determine u*f(i) - 5*c(i).\nAnswer: -2*i**3 + 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 15?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 13889.\nAnswer: 41667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 8*s**2 - 19*s - 10.\nAnswer: (s - 10)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**4 + 5*d**3 + 5*d**2 - 5*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 577536?\nAnswer: -577534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/(2\/(-20)). Suppose 153 = -2*u - 59. Is 6\/m*u\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/17, -0.3, 3, 38\/13, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:17 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-4 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 9. Suppose -5*r = s - 5, -1 = -d*s - 3*r + 2. Round s to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138843457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 84 (b) -0.15 (c) -2 (d) -43 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 825057002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzaaazhzaaatzahzztzt. What is prob of sequence zh?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*w + w - 5*t, 5*t = -2*w - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/12*3\/5\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11736282.\nAnswer: 2, 3, 1956047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2238 or -2244?\nAnswer: -2244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 1. Suppose 0 = 2*p - 3*y - 1, -4*y + 7 = -0*p - p. Let r = x + p. Solve 0 = -4*i, 0 = -5*l - r*i - 3*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1752.366 millilitres to litres.\nAnswer: 1.752366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3772 = -6*l - 3664 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2610520 to the nearest ten thousand.\nAnswer: -2610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23673088 and 942?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 115 - 105 - 13*a**4 - 29*a**4 - 25*a**4 - a - 2*a**3 in the form r*a**3 + w*a**2 + b*a**4 + i*a + u and give b.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -585790, -585791, -585792?\nAnswer: -585793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 323002, 65 in descending order.\nAnswer: 323002, 65, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700807748 to the nearest integer?\nAnswer: 26473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25793 (base 13) in base 6?\nAnswer: 1253202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544871409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3818556 - -114890444. What is h rounded to the nearest one million?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert db6 (base 14) to base 11.\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**4\/4 - 4*p**3 - 13*p**2\/2 - p + 238. Let x(c) = -c**3 + 5*c**2 - c + 1. Let z be x(4). Let a be y(z). Is a equal to -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = a, -4*a + 4*z + 39 = -25. Find the second derivative of -3*r - 6*r**4 + 3*r**4 - 3*r**4 - a + 25 wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01036682335 rounded to five dps?\nAnswer: 0.01037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-165)\/(-8)*(-118)\/(-177).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - (sqrt(612) + 2) - sqrt(612))*-6 - 2*((sqrt(612) - (sqrt(612) + 1)) + sqrt(612)) - 3*(sqrt(612)*2*3 + sqrt(612))) + 5)**2.\nAnswer: -3876*sqrt(17) + 177229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 29432*g**2 + 19. Let x(i) = 28*i. Give t(x(k)).\nAnswer: 23074688*k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/40*-3 - (5 - 1). Put 20\/17, i, 3 in decreasing order.\nAnswer: 3, 20\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/240 - c**5\/20 + 5*c**2. Let s(o) be the third derivative of q(o). Let h(p) = p + 6. What is 3*h(t) - 6*s(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 15. Let t be y(8). Let q = t + 5. What is the remainder when 36 is divided by 1*q - 105\/(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 9700*l**2 + 68216*l + 291840.\nAnswer: -4*(l - 10)*(l + 3)*(l + 2432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*k**2 - 421*k**2 - 244*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.3 - 274.7. Let t = 339896 + -339597.131. Let f = t + r. What is f rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160011*j**2 - 151430 wrt j.\nAnswer: -320022*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 781 by 71.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*18\/30*5. Suppose 0 = -5*p + y + 4055, -4*p + 3245 = -b*y + 8*y. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 6*s - 15. Let k(l) = 2*l**2 + 13*l + 29. Let c(m) = -3*k(m) - 5*p(m). Let v be c(-8). Is v greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 18*y**2 + 357972*y - 357969*y + 5*y**3 - 2*y**2 = 0.\nAnswer: -3, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2674 and 771274.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 17*l = 5*r - 5, 0 = 2*l - 5*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 + 54 = 2*w. What is the greatest common factor of w and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34823 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10935 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3\/3 - 3*l**2 - 2*l - 5. Let r be -2 + 1 + -4 + -1. Let n be -1 - (r\/(-4) + -1)*-14. What is y(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/48 + 58\/(-12). Let d = 29 + z. Is 19 a factor of (d + 0)\/((-3)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b + 25*b**2 - b**3 - 803 + 746 + b. What are the prime factors of q(24)?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x. Let s(y) be the third derivative of y**4\/24 - 2*y**2. Calculate m(s(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3522800, 3522801, 3522800, 3522797, 3522792, 3522785, 3522776?\n\"Answer: -b**2 + 4*b + 3522797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 30 = 2*t, 2*t = 4*b - 12194. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.35.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2649861933.\nAnswer: 3, 173, 5105707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018463782 to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-17)\/(-306))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*18*2\/(-6). Suppose 0 = l*y - 5*y - 4. Suppose -b = b - y. What is the greatest common divisor of b and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27136\/(-5376) + 4\/(-14))*(-6)\/(-8). What is the nearest to 353 in 2, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 - 45340*r**4 + 5*r**3 + 45340*r**2 = 0. What is r?\nAnswer: -9068, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:18 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/49 and -55\/5607.\nAnswer: 39249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(135))\/(sqrt(5) - (sqrt(405) - sqrt(405)*2)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**3 + 49 - 37 + 24*x**3 - 36*x**3.\nAnswer: 4*x**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, u: 1, d: 3, i: 7, r: 5}. What is prob of sequence udrt?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-60)\/(-110) - 406\/220). Sort -3, 5, -0.05, r.\nAnswer: -3, -0.05, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 17. Let t(c) = -c**3 - 9*c**2 + 9*c + 9. Let d be t(w). Let q be d\/(-26) + -4 - 2. Which is bigger: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*-3 + 2. Suppose -2*g - 3*b + 1 = -h, 4*b = -4. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 115. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 2*w**2 + 2*w + 1. Let d be i(-1). Suppose -4*m + 100 - 100 = d. Suppose m = s - 5*o - 7, -2*o + o - 7 = -3*s. Solve 5*n - s*n = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**4 + 39*f**3 + 74*f**3 - 23*f**3)*(5*f - 3*f - f).\nAnswer: 10*f**5 + 90*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363327*s**5 - 50*s**2 - 12*s - 11 wrt s.\nAnswer: -21799620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6869, -10, 22 in decreasing order.\nAnswer: 22, -10, -6869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 7*g + w + 12, w + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.791 take away -0.0062?\nAnswer: -12.7848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/4620*11 - 932\/(-30). Solve d*c - 29*c - 11 = f, f = -5*c + 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 24*p**2 - 38*p**2 + p + 26*p**2 - 5*p to the form r*p + o + w*p**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let f(l) be the first derivative of -7*l**5\/15 + l**2 - 13*l - 104. Let h(c) be the second derivative of f(c). What is q(h(n))?\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1065, 2402, 4025, 5934, 8129?\n\"Answer: 143*x**2 + 908*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + (-8 - 9) + 7 + (43 - 10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124324533 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:49 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*w + 14. Let g = -4 - w. Let n = 29 - 24. Which is the closest to g? (a) 0.2 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949838*o - 1293*o**2 + 949838*o.\nAnswer: -1293*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + (6 - 3) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 - 3683*r**4 + 3589509*r**3 - 359592237*r**2 - 406348110*r + 4358755800 = 0. Calculate r.\nAnswer: -4, 3, 114, 1785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.26 + -1.26. What is the second smallest value in p, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -37*f - 5. Let q(w) = -62430*w. Calculate u(q(b)).\nAnswer: 2309910*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -686, -1374, -2070, -2774, -3486, -4206, -4934?\n\"Answer: -4*x**2 - 676*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000217091 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from jjmmujummmjjummjmjm.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*k - 68*k + 15. Is 54 a factor of (519\/9)\/((-1)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116\/1776197 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1688\/3 or -9?\nAnswer: 1688\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrnn when four letters picked without replacement from nnnnrnnr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 3:29 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (1 - (3 - 2)). Let s = c - -6. Let j(f) = f**2 - 3*f - 5. Let y be j(4). Let u(x) = -6*x. Let p(b) = -b. What is s*p(z) + y*u(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 559, 1278, 2291, 3598?\nAnswer: 5199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**9\/126 + n**8\/12 + n**5\/60 - 101*n**4\/12 + 31*n**2. What is the third derivative of l(j) wrt j?\nAnswer: -480*j**3 + 1680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75500751.957409 + -75500658. Let i = l + -171.957503. Let r = 78 + i. Round r to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73777.41 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 2*k + 0*k)*(5 - 4 - 8)*(18*k**3 - 103*k**3 - 21*k**3) to n*k**4 + j + r*k**2 + w*k + z*k**3 and give n.\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 3. Let p = y - -5. What is the remainder when 35\/2 - p\/14 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-1\/7)*o)*o*(o*o**(-1\/6)*o*o)\/o*o**(-2\/3)*(o\/o**(1\/2))\/o)\/((o**0)**(31\/4)\/(o**1)**(-1\/42)) assuming o is positive.\nAnswer: o**(39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 6*m + 3. Let v = -723 + 735. What is the smallest common multiple of z(-3) and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 36*h + 60. Let i(s) be the first derivative of -2*s**2 - 7*s + 41. Let m(p) = -52*i(p) - 6*r(p). Let d(j) = 17*j - 9. Give -3*d(g) - 7*m(g).\nAnswer: 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44\/5 - 42\/5. Let g = 4 + -4.2. Let s = 0 - -1. Which is the smallest value? (a) s (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from cqqckyqqcy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose 0 = 3*k + 5*f - 37, 4*k - 36 = -4*f - 0. Let n(a) = -a + v*a - k*a. Let x(j) = 2*j. Determine n(x(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-334)\/8)\/((-4)\/24)*10. Suppose 0 = 4*o + o + r. Let b = -339 - o. Calculate the greatest common divisor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + ((-4)\/(-4))\/1. Let g be (y\/(-12))\/(1\/6). Let w(b) = -7*b - 1. Determine w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 - 50*z**2 + 125*z + 55. What is q(-14)?\nAnswer: -3263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - 750?\nAnswer: -76f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1419 + 1421. Solve -2*b = -i + 11 - 0, -p*i = -b - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-182)\/(-35) + 0)*(-21 + 1). Let g(o) = o + 1. Let v be g(-3). Let s be (d + 4)\/(v\/8). Round s to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) + 8\/(-6). Let a be 4 + 18 - 3\/1. Let c = a - r. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/168 and 23\/16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, y: 2}. Give prob of sequence uuy.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 32*j**2 + 408*j**2 + 342*j**2 + 3*j - 2.\nAnswer: 718*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**3 - p**2 + 1050 - 1883 + 974*p + 2544*p - 2600 + 1115*p wrt p?\nAnswer: 3*p**2 - 2*p + 4633","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36290688 and 2688?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -305 and 11341.\nAnswer: 11036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 5. Let m be a(5). Are -2\/37 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101001 - 110?\nAnswer: -100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*n - 6*h, -4*n + 3*n = -2*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 95*p**2 + 534*p + 2. Let t be s(6). Sort -7, -1, 4, t.\nAnswer: -7, -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 42*d**3 - 35*d + 35. Let y(r) = -6*r**2 - 76*r + 175. Let h be y(-15). Let s(v) = -v**3 + v - 1. Determine h*s(q) - f(q).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -269 (b) 3\/13 (c) 312 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18667848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 16\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 6, w: 7}. What is prob of picking 1 b, 1 q, and 1 w?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 10) + 5510\/475. Let q = 53\/2 - 26. Let f = q + -1\/4. What is the nearest to 0.1 in f, 1\/2, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10788790589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + 1 + -3)\/1. Suppose n*r - 883 = -148. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 66. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 + 2*s - 2. Let d(j) = j**2 + j - 1. Let h(q) = -2*d(q) + i(q). Let o be h(1). Which is the biggest value? (a) -1\/4 (b) o (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/3)\/(204\/1836)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*c - 12. Let j = -3 + 3.4. Let d be (2*4\/(-40))\/((-12)\/75). What is the smallest value in j, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 124000*c**2 - 5*c - 50. Let x be 132\/(-14) - (-20)\/(-35). Let n be q(x). Round n to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/47532 and 19\/156.\nAnswer: 617916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.5 (b) 2\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 312 = 113. Let p(r) = 6*r + 6. Let s(z) = 18*z + 17. What is j*p(y) - 6*s(y)?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q - 1 + 3*q)*(-19*q**4 - 4*q**4 + 40*q**4) - 2*q**5 + q**5 - q**5.\nAnswer: -19*q**5 - 17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**4 + 7*y**4 + 6*y**4)*(-1 - 1 + 3)*(-36 - 61 + 10*y + 62).\nAnswer: 60*y**5 - 210*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Suppose g*o - o = 1. What is the units digit of 17 + -3 + o\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + -40. Let y be -10*(1 + -2)*(-32)\/c. Solve -11 = -2*i - j, 0*j - y*j + 5 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g - 129*g + 409981. Calculate the highest common divisor of 61 and g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1147, 5 in increasing order.\nAnswer: -1147, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3372.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111389011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -36 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -107, -4.\nAnswer: -107, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23*w**2 + 2*w - 2. Let j be q(2). Suppose -2*f = -j - 18. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 10 = -v, 5*w - 10 = -5*v - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i, 5*y - 86 + 66 = 11*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123466 and 525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4 + 7. What is o in o**3 + 2*o**4 + 18*o**2 - 18*o**m + 4 + 7*o**3 - 14*o = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -5*m + 45, 5*p + 782 = -2*m + 772 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = w + 3*i, 4*w = -i + 793 - 31. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16135 is divided by 4127.\nAnswer: 3754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/3 + 21994*l\/3 = 0 for l.\nAnswer: -10997, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 238*r + 3. What is the hundreds digit of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, g: 11}. What is prob of sequence gr?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 2090532.\nAnswer: 2090532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4 + 36. Let v be (-2)\/9 - z\/(-9). Let d = 0 + v. Solve 7 = -d*x - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p**2 - 4*p - 4. What is x(-2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*y - 11872, 271*b - 276*b + 29688 = -3*y. Is 60 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = -8 + 86. Let k(n) = 3*n**2 + 8*n - 7. Let w(z) = z**2 + 10*z + 39. Calculate the remainder when k(p) is divided by w(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 + 5 - 1. Let q(f) = 8*f - 35. Let x be q(5). Suppose -x*b + 13 = -k. Solve b*n - 4*n = 2*z + 10, 0 = -3*z + 4*n + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8162*g**3*o**2*s**2 - 42*g**3*o**2*s - 2*g**3*s**2 + g**2*o**2 - g**2*o*s + 4*g*o**2*s wrt s?\nAnswer: -16324*g**3*o**2 - 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.4, -6\/30821, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4051651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/15 - (-2 + (-36)\/(-15)). Let x = 0.9 - -10.1. Sort x, 1, i.\nAnswer: i, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 29?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let d be 1*3\/12*0. Suppose d = 3*v + 3*y - 27, -4*y = -v + 3*v - 28. Give t(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 10*l**3\/39 + 97*l**2\/13 + 76*l\/13 + 184. Factor s(a).\nAnswer: 2*(a + 19)*(5*a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 1 + 2 - 3*g**2 - 3*g. Suppose -4*q + 100 = -0*q. Suppose 5 = 4*k + q. Give f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18856800 to the nearest 100000.\nAnswer: 18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 74*b**2 + 82*b - 561. Determine s(75).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-13)\/(-13)*1\/(-38)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:24 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) 6 (c) -2\/13 (d) 4 (e) -0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309760235.\nAnswer: 5, 61952047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*(-62 - (-1 + -1)). Is 9012\/c + -1 + (-26)\/(-30) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 499\/((-35)\/(-40) + -1). Let d = 514924\/129 + p. Calculate the common denominator of d and -91\/12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 89*r**2\/2 - 1867*r\/2 - 21 = 0. Calculate r.\nAnswer: -2\/89, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.78 - -8.88. What is b rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13768*p - 6941*p - 7081*p + (-2 + 0 + 1)*(-3*p - 5*p + 6*p))*(0 + 0 + p) + 5*p - 5*p - 2*p**2.\nAnswer: -254*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 11:46 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 11. Let v be u(-5). Let l = v - -219. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = 4. Suppose 0 = 2*a + 4*h - 4, -6 = -4*h - 2. Let c be (a\/(-2))\/(0 + 1). Is c > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 + 5*l**2 - l - 5. Let p(c) = -11*c**3 + 14*c**2 - 2*c - 14. Calculate -6*p(v) + 17*s(v).\nAnswer: -2*v**3 + v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r**2. Let w(j) = -6*j. Let y(x) = -3*x - 1. Let f be y(2). Let h(p) = -13*p. Let d(l) = f*w(l) + 3*h(l). Determine o(d(i)).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18106 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4677237 or -17\/2?\nAnswer: -4677237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 231, -0.02, 4\/15?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*u**4 + u**3 - 2*u**2 - 22*u**4 - 4*u + 3*u**3 in the form y + x*u + f*u**3 + l*u**2 + a*u**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -784, -774, -752, -712, -648?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/38447 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 6. Let u be d(0). Let g(m) = 31*m - m**2 - 37*m + 5 + 4. Is 4 a factor of g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, -1, -2\/5, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268*d**3*q**3 + 2*d**3*q**2*v - d**2*q**3*v - 219*d**2*q**2 wrt d.\nAnswer: -1608*q**3 + 12*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 7*z + 6*z + 4, t + 5*z - 20 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(147) + (-4*(sqrt(147) - sqrt(147)*-2) - sqrt(147)) - ((sqrt(147) - (sqrt(147) + 1 + sqrt(147)) - sqrt(147)) + sqrt(147))*-6))**2.\nAnswer: 2520*sqrt(3) + 47728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031698 to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67038 and 28357074.\nAnswer: 28357074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3666?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 295*w**2 + w + 9 + 26533*w**3 - 7 - 26534*w**3 in the form x*w**3 + l + u*w + j*w**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 61152574 - 156*x**2 - 61152574.\nAnswer: -156*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/10? (a) 1\/2 (b) 5 (c) -2 (d) -4 (e) 9\/76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 - 37 = -2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 6*y**2 + 7*y + 4. Let p be r(-5). Let h(g) be the second derivative of 2*g**3\/3 + 9*g**2\/2 + 4*g - 6. Calculate h(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((13 + -12)*2\/(-2)). Suppose 6805 = -p*z + z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 - 27*k**2 - 154*k - 1006. What is o(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 548 - 529. What is the remainder when 45 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10573 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864151719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1218 by -1218.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5345.\nAnswer: 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 6*x**2 - 7*x + 3. Let o be s(7). Let b(v) = -v**2 - 2*v + 2. Let g(r) = -r. Let a(y) = o*g(y) - b(y). Factor a(w).\nAnswer: (w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11113 + -144475\/13. Let b = -1.5 - 0.5. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435 and 2400?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-132)*(-88)\/(-88)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -61*w - 41. Let m be r(-5). What is the highest common factor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -47)\/(0 + -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2900000 = -7*n + 6*n. What is n rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 29*j**2 + 20*j + 77. What is s(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j + 134. Let c be q(-8). Solve 4*l - 3*n = -5*n + c, -3*n = 4*l - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/6 - 5*z**2\/2 - z. Let m be u(3). Let c(k) = 3*k + 3. Calculate c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 197 + 189 = -3*s, -4*s - 494 = -5*m. Let a = s + 346. Let z = -7258\/33 + a. Which is smaller: -2\/5 or z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:26 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2889*j - 158763. Give g(55).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -677428.99994 - -677423. Let t = c + 6. What is t rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**3 + 4152*y**2 - 4124*y - 24888 = 0.\nAnswer: -2, 3, 1037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -179, -787, -1767, -3119, -4843, -6939, -9407?\n\"Answer: -186*l**2 - 50*l + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.919 + 55. Let a = -30.719 - o. What is a rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.8 - 6. Let x = 0.83 - g. Round x to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 7*q - 11. Let a be u(-5). Let m = -16 - -11. What is the nearest to a in 1, 2, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -354 + 235. Let k = -117 - l. Solve -3*y = -k*c + 5, -2*y + 0*c - 3*c = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889980 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11422*f**2 - f + 784 wrt f.\nAnswer: -22844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*x = -22, -10 = 4*r - 3*x - 33 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1861 = -601. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + j)*((-2 + j + 2)*(5 - 5 + j) - 1419*j**2 + 11643 - 11643).\nAnswer: -1418*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:59 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-12)*-2)\/((-4)\/40*(-65)\/(-39)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrfp when four letters picked without replacement from ccccpbfffcrrcfccffff.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(288) - (sqrt(18) + sqrt(90)\/sqrt(5) + sqrt(18))**2) + sqrt(18)*-5 + -3 + -1).\nAnswer: 6*sqrt(2) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*d = -0*x + 20, -2*x + 8 = 4*d. Let y = 10 + -2. Let j be (y\/6)\/(x\/12). Solve -3*k = -m - j*k - 1, -k + 7 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.99 * -3\nAnswer: 74.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rlgglpprlppgrg?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h - 8. Let y be q(-7). Suppose -18*c = -y*c - 70. Find the common denominator of 85\/4 and ((-2)\/(-12))\/(c\/18).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 17, n: 3}. Give prob of sequence cnc.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9))\/((-4)\/(-42)). Suppose -2*d - v = g - 43, 4*d = -3*g + 68. Suppose -138*i + 148*i = 100. Calculate the highest common factor of d and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/2385780 and 7\/374240.\nAnswer: 19086240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1010120022000121?\nAnswer: -1010120022000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 453.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 380082581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c = 29925 + 193371. Calculate the remainder when c is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/11 + 267\/22. Suppose -3*u - 13 - 17 = 0. What is the common denominator of f and u\/(-28)*70\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/140940 and 71\/360.\nAnswer: 281880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xexm when four letters picked without replacement from {m: 2, e: 1, x: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (-175 - -176 - (-13 - -1) - 7) + -3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 41*d + 113. Let w be ((-6)\/12)\/(2\/148). Is x(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/18 - (-7)\/((-693)\/(-176)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/(-12)*-2*(-97)\/15 and 73\/94.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 529837.1ng?\nAnswer: 529.8371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d + 10 = 43*d. Suppose 2*b - 3*b = -d*c - 17, 2*b - 25 = c. What is the remainder when 69 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 69*h + 686. Calculate t(57).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1236477235 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1377693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 k, and 1 o when three letters picked without replacement from {x: 5, k: 1, n: 2, o: 1, v: 3, w: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000322093 to six decimal places.\nAnswer: 0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18184 and 776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*((-10166)\/69)\/(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3288260?\nAnswer: 2, 5, 164413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r - 7*z - 92 = 23*r - 3*z - 546, 0 = -3*z + 42 - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-15)*q*q**(3\/7)*(q**(3\/4))**(-1\/35) assuming q is positive.\nAnswer: q**(-1903\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tdttdddtdttttttdttt?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (15 + -23 + 9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:03 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 - 60 = -63*h - 530 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14816420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -182908, -182902, -182896, -182890?\n\"Answer: 6*w - 182914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 961*b**5\/5 + 105524*b**4\/5 + 390857*b**3\/5 + 328846*b**2\/5 - 75012*b\/5 + 3816\/5 = 0. What is b?\nAnswer: -106, -2, 3\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 870 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5716 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 224068549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/2 - 6470039*p**2\/2 - 8626723*p\/2 - 2156681\/2 = 0. Calculate p.\nAnswer: -1, -1\/3, 2156681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (91 - 19 + 12)*(7*w + 41*w - 205*w**3 + 204*w**3) to the form a*w**2 + s + t*w**3 + b*w and give t.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -253355 divided by -4\nAnswer: 253355\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)*i)\/i**8)\/(i*i**(-1)*i*i*i*i\/i**(2\/11)) assuming i is positive.\nAnswer: i**(-185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*i + 2*v, 9*v + 25 = 2*i + 4*v. What is a in 0 + 2\/7*a**5 + i*a + 2\/7*a**4 + 0*a**2 + 0*a**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-18) - 8\/36. Solve 4*v + v = a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 89243, 2\/5, -2\/7, 10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-89 + 91)\/(64\/(-62)) and 93\/188.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72419998.\nAnswer: 2, 7, 43, 120299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/7 + 10\/(-35). Let y be 1 + (-21)\/14*f*-1. Let m be 24\/(-40) - (-13)\/5. Solve 0 = -m*j + y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 32. Does 7 divide 2\/8 + f\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(72\/1248*(-559)\/(-9030))\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 12.5. What is the closest to -1\/3 in u, -2\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q - 3*q)*(0 + 0 + q**3).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 58, 180, 350, 568, 834?\nAnswer: 1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1816 and 61290.\nAnswer: 245160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 + 28 + -46 - 32) + -24.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by -1.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*g + 73*g + 65*g + 75*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19956 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + b**2. Suppose -5*r - 4 = -r. Let q be n(r). Is 18 a factor of (-1)\/q*(0 + -141)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32818, -32843, -32886, -32947, -33026, -33123?\n\"Answer: -9*v**2 + 2*v - 32811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-4) - (-68)\/51. Let s(l) be the second derivative of 11\/60*l**6 - 1\/4*l**2 + 1\/4*l**4 + 1\/28*l**7 - x*l**3 + 7\/20*l**5 + 0 + l. Factor s(p).\nAnswer: (p + 1)**4*(3*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2482*v = 2517*v + 420 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/42*98\/(-140)*(-20)\/42.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/3 + 7*s. Let r(h) = 2*h**2. Give r(m(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 - 13*s**2\/3 - 22*s\/3 - 8\/3.\nAnswer: -(s + 2)*(s + 4)*(2*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.43 + 0.25. Let n = -0.08 + a. Which is bigger: n or -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*c**2*p + 2502158*c**2*z - c**2 - 1532*c*p*z - 2*p*z - 7*p wrt p.\nAnswer: -47*c**2 - 1532*c*z - 2*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 19*d**6\/120 - d**4 - d**2 - 15*d. Let u(o) be the first derivative of x(o). What is the second derivative of u(a) wrt a?\nAnswer: 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 289085 and 2506.\nAnswer: 4047190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.2 - 1.2. Let f = -239\/10 + 49\/2. Which is the nearest to 1? (a) x (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*o - 4. Solve -4*v + 3*q + 14 = o, 0 = q + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 + -135. Factor 6*o**f + 4*o**2 - 560*o + 21093 - 1493 - 2*o**2 - 4*o**2.\nAnswer: 4*(o - 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -307?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495801 by 3.\nAnswer: -165267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {s: 1, f: 1, g: 4, x: 6, w: 6}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2466, 5475, 8486, 11499?\nAnswer: 14514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 1334.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 754549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.089 + 11.83955. Let b = -2.24 - p. What is b rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.582884 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let k(j) = -v*j - 1 - 2 - 3. Let u(r) = -17*r**2 + 771*r + 784. Let w be u(-1). Calculate k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 386*b + 1357*b - 701*b - 1750*b**2 wrt b.\nAnswer: -3500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157735*t**2*v**4 - t**2 + 2*t*v**2 - 1890727*t + 20*v**4 wrt v.\nAnswer: 3785640*t**2*v + 480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -29*j + 400. Determine g(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3740 is divided by 59.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 5 in ascending order.\nAnswer: -10, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61233 and 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 7*u + 4*u + (0*u + 4*u + 3*u)*(-2 - 1 + 0))*(-2*u + u**3 + 2*u).\nAnswer: -29*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/1579 and (9*16\/1188)\/(12\/81).\nAnswer: 17369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 12\/((-5166)\/5164 + 1)*(-988)\/1976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4\/5)*z*z**0\/z)\/((z*z**0*z)\/z)**(-42)*(z\/((z\/(z\/(z*z**(-3))*z))\/z)*z*z*z**(-1\/9))**(-20) assuming z is positive.\nAnswer: z**(-4301\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 + 6065*v**2 - 1396680*v = 0?\nAnswer: 0, 309, 904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/11 + 564*s**2\/11 + 37350*s\/11 + 666900\/11 = 0 for s.\nAnswer: -195, -57, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times 0.2\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -5*i**3\/6 + 17*i**2\/2 - 6*i + 163. Give x(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 14*z = -35. Let a be 2 - ((-29)\/z + -2). Put 1\/9, 0.5, a in descending order.\nAnswer: 0.5, 1\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1566 and 151\/7830.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -545 - 448. Let n = c + -227. Let q = n + -59. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-19))**(-50) assuming r is positive.\nAnswer: r**900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -1\/3, -654, 5 in ascending order.\nAnswer: -654, -1\/3, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20680)\/3465 + (-2668)\/(-522).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.95*-3.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14881.3 rounded to the nearest 10?\nAnswer: -14880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = 5*m, -2*m + l + 4 = -1. Suppose 4*y + 2 - 57 = i, 0 = 3*i - 3*y + 192. Let w = 69 + i. Solve -3*f - f + 3*z + 6 = 0, -w*f = m*z - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 - 13*f**2 - 6*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + f, f - 7 = -2*z + 4. Suppose -u = 4*u + z*i + 1, 8 = 4*u + i. Suppose 4*l - 4*n = 144, 5*l + u*n = l + 151. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2720 and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + z + 8. Put 0, -1, z, 3 in ascending order.\nAnswer: -1, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6712 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -37 + 39 - (-85270)\/4 - 3\/(-2)?\nAnswer: 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzvzzzzyvzzvvzz. What is prob of sequence vvvv?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c. Let k(a) = -a + 2. Let i be k(c). Does 2 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-749)\/321)\/((-7)\/111) and ((-8)\/5)\/(2\/(-5)).\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60453a (base 12) to base 11.\nAnswer: 935526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)*(v**(-4\/5)*v)\/v)\/((v**(-7)*v*v)\/(v\/(v**7\/v))) assuming v is positive.\nAnswer: v**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 1)*-4 - ((sqrt(112) + -2)*-6)**2) + -5*(((sqrt(21) - sqrt(336))\/sqrt(3) + sqrt(7) - (sqrt(7) + 1 + 0)) + 0)**2.\nAnswer: -4500 + 530*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -23) + 9 + -23\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 1 + 0*i**2 - 1 + 2*i**2 + (343*i**2 - 483*i**2 + 346*i**2)*(4 - 1 - 4).\nAnswer: -204*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4659, -4623, -4587?\n\"Answer: 36*w - 4695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -23*s**3 + s. Suppose p + 0 = -1. Let d be k(p). Factor -d*b**2 + 20\/3*b - 32\/3*b**4 + 80\/3*b**3 - 2\/3.\nAnswer: -2*(b - 1)**2*(4*b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1343 + 1550*w**2 + 1343 - 134*w**2.\nAnswer: 1416*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 18696, 533, 3 in decreasing order.\nAnswer: 18696, 533, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3659589 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -3310, -4, -21, -2 in decreasing order.\nAnswer: 2, 0, -2, -4, -21, -3310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/5 - 536*j\/5 - 3948\/5.\nAnswer: 4*(j - 141)*(j + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281 = -57*u + 53 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000076277 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, s: 3}. Give prob of picking 2 g.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/2)\/((-266)\/19). Which is the closest to 1\/3? (a) x (b) 0.5 (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 220 + -200. Let n be 1\/2 + 30\/s. What is the highest common factor of 50 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 44 = -32. Suppose -2*u + 2 = -u. Suppose -4 = 4*p - 4*q, u*p + 14 = -0*q + 5*q. Calculate the greatest common divisor of j and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1*(3 - 5) - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**5 + 0*g**5 - 2*g**5 - 2*g**3 + 2*g + 4*g**5 + 2*g**3 + (-1 + 1 + 2*g**3)*(-3 - g**2 + 3).\nAnswer: -5*g**5 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14)\/(i\/(i\/(i**(-6\/11)\/i*i))))\/((i\/i**(1\/3)*i)\/i**(-1\/7)) assuming i is positive.\nAnswer: i**(-3526\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (0 - -3) - (-24 - -3 - 31).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 7:04 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - z = 5*a + 5, -a - 2*z + 12 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*s - 198 = -277*s. Is s greater than 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/20 + y**4 + 7*y**3\/3 + 7*y**2 - 286*y. Give d(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqqqqsqqqsq. Give prob of sequence qq.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 92\/28 + (-4)\/14. Let q(p) = -o*p**2 + 3*p**2 + p**3 - 4 + p**2 + 29. Does 12 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -67.999993. Round o to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41\/((-6 + 20)\/448)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 + 4*i**2 + 3. Let f(z) = z**3 - 1. Let s be (5 + (-12)\/3)*(-1 + 0). Determine s*l(j) - 3*f(j).\nAnswer: j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = p - 5682 - 1744, 2*p + 4*c = 14816. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/12 - 2*k**2 - 162. Let b(y) = 92*y**2. Calculate b(i(f)).\nAnswer: 2300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Let d be 0 - (3 + 4\/(-4)). Calculate the remainder when (-1 + d)\/((-3)\/4) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316.04 times -0.1?\nAnswer: -231.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1514)\/48 - (3 - (-8)\/(-3)). Is f less than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1862909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkybbbkzkbzysx. What is prob of picking 2 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3 + 2169*x**2 - 736155*x + 52483263 = 0.\nAnswer: -989, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -1. Let d = -71 - -49. Let i = d - -31. Calculate the greatest common factor of l and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 3, 2 in ascending order.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 4*w + 4. Let a = 11 - -2. Suppose 5*y - 38 = -a. Calculate the least common multiple of y and t(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 144 = 6*c + 2*u, 4*u = -4*c + 144. What is the greatest common divisor of 360 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 648 + -651. Let n(l) = -4*l - 3. Let y(f) = f**2 + f + 4. Let b be y(0). Let p(q) = q**3 - 3*q - 2. Give b*p(g) + k*n(g).\nAnswer: 4*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42*6\/(-27)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 8*a + 7. Let u be s(-7). Suppose u*h = -h + 4. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-51)\/(-45) + -1)*8295\/(-700) and 38\/455.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -2*w - 22 + 6, -2*w - w - 5*u + 32 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.92332 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5866.36 to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)\/(0 + -2). Suppose 0 = 5*s - 2*s + 6. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6500 to the nearest 100.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 7. Let d be r(13). Let i = 4 + -1. Let c be (-132)\/d + i\/5. Which is greater: -5 or c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -105. Let f(l) = l**2 + 5*l - 3. Let j be f(-6). Let d = j - i. Let y(o) = o + 12. What is y(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1305177 (base 9) to base 11.\nAnswer: 447252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85.2 + 84.2. Let g = -0.15 - -0.01. Let o = -0.08 - g. Which is the closest to 0? (a) 0.4 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40\/9 - 271\/63. What is the closest to 2 in f, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11260 by 22.\nAnswer: 5630\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931073 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - d**3 + 6*d**3)*(3 + 4 - 10)*(2*d - 2 - 1 - 5*d).\nAnswer: 27*d**4 + 27*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1791 = 5*t - 14*t. What are the prime factors of t?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j + 3*j - 3 + 3*j wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*q**2 + 2*q + 5*q**3 - 2 + 299*q**2 as w + a*q**2 + l*q**3 + v*q and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1601*b - 16003. Determine z(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26142064?\nAnswer: 2, 13, 125683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-5)\/(-10)*-2 - -5. Suppose 241 = 3*r - z, 0 = -l*r + 3*z + 228 + 95. What is the remainder when r is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k + 66 + 20 + 18 - 3*k + k + 4*k + (-k - 1 + 1)*(1 - 2 + 3) + 3*k - 3*k - 2*k + 4*k - 2*k - k - 5*k + 0*k + 3*k - 4*k + 5*k - 3*k + 0*k + k + 0*k.\nAnswer: 2*k + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/10)*l*l*l*l))**20*(l*l*l**19)**(-1\/7) assuming l is positive.\nAnswer: l**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c0 (base 13) to base 6.\nAnswer: -10552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 - 8*u + 13. Let j(b) be the third derivative of b**5\/30 + b**4\/6 - 7*b**3\/6 - 12*b**2 - 152. Calculate 11*j(k) + 6*s(k).\nAnswer: -2*k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-346)\/(-5363) - (-616)\/62. Solve 0 = h*g - 8*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**7\/2520 - a**6\/180 + a**5\/30 + a**4\/12 - 8*a. Let u(c) be the third derivative of p(c). Determine u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.171 + 37\nAnswer: 36.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47\/37 (b) 5 (c) -3458\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12221 = -5*n + 7779. What is n rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 + 5*x + 8. Let u be a(8). Suppose -45*z - 629 = 991. Let h = u - z. What is the greatest common factor of h and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 4*h)*(-7*h - 3*h - 6*h) + (285 - 22*h - 285)*(5*h + h - 3*h).\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*((sqrt(275) + -1)*-1 + sqrt(275) + (5 + sqrt(275) + -3 - sqrt(275))))**2*-1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1966475833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4624 - -1.5376. Let v be (6\/4)\/(18\/(-8)). What is the second smallest value in v, 3\/8, 2\/11, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 120 - 98 = 14*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-5))\/((-8)\/5). Let l(c) = -c**2 - 6*c - 4. Let i be l(-6). Let b = 169\/3 - 57. What is the nearest to b in 1\/3, i, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 464*l - 2928.\nAnswer: 4*(l - 6)*(l + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z = -5*u + 33*z - 250, 0*z + z = u + 3*u + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150) + -3*sqrt(150))\/(sqrt(98) - sqrt(98)*-2).\nAnswer: -10*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (33 - -22 - 53).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -33\/19 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 20*s - 16. Let q be n(6). Let j = q - 522\/5. Find the common denominator of j and 27\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + -1.91. Let h = -487 + 492. Which is the nearest to -0.1? (a) h (b) 4\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*h + 6, 7 = 4*h - 1. Let r = 316 + -2216\/7. Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*a + 225, -292*q - 36 = -293*q + 4*a. Calculate the remainder when 2012 is divided by q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - m - 60180, 7*m - 60180 = -5*b + 4*m. Let l be ((-2356371)\/b)\/(-9) - -3. Let c = -3\/1003 + l. Find the common denominator of 13\/2 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18960?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 - 52. Suppose 0*s + 3*s - k = 0. Calculate the remainder when s is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 10:30 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3689 - 3661. Suppose -2*w + 3 = -5. Calculate the highest common divisor of t and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -95 (b) 0.2 (c) 4 (d) 2\/17 (e) -3\/2 (f) -11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 41471913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 + 6*q + 2. Let s be t(-2). Suppose s = -2*l + 20. Suppose -h + 6*h = 30. Is h at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -875?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121012020 - -1011?\nAnswer: -121011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 580454729 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 6. Suppose -4*v = -5*k + 38, 5*v + 13 = 3. Let m(l) = 10*l - 17. Let u(s) = 14*s**2 + 53*s + 5. Let y be u(-4). What is k*m(r) + y*z(r)?\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.67 - 2.67. Let l = -2\/293 - 1162\/1465. Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 0*h**4 + 0*h**2 + h**3 + 4 - 1\/6*h**6 + 0*h + 0*h**5. What is the third derivative of o(p) wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861879.\nAnswer: 3, 23, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*r + 50. Suppose c = r*f - 6, -5*f + 1 = -2*c + 9. Let z(w) = -14*w - 1. Calculate the remainder when z(-2) is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3. Let i(g) = 7*g**3 + 5*g**2 - 7. Let c(x) = i(x) - 6*z(x). What is c(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 5*t**2 + 44*t**2 - 12*t**2 - t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:08 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602651 (base 7) in base 10?\nAnswer: 337156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4262351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.17 - 6.166096. What is f rounded to 4 decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -9648206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -0.3 (c) 0.016 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4\/3. Which is the closest to 0.3? (a) 0.5 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*z + 151 + 149, 3*f - 46*z + 2696 = -754 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 + 2*q - 5. Let v be j(-4). Let f = 13 + v. What is the units digit of (24 - f)*30\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*k**2 + 26*k**3 - 27*k**2 + (-43 + 43 - 15*k**2)*(0*k - k + 5*k).\nAnswer: -34*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 c, and 1 i when four letters picked without replacement from {i: 1, x: 3, c: 1}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnlvntvennllnvve. What is prob of picking 1 v, 2 n, and 1 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/6 + 2\/(-3). Suppose 0 = -x*d + d + 12. Let r(h) = 3*h - 3. Let t be r(d). Solve -3*v = -t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -326983 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 - 4*x**2 + x + 8. Let w be j(-3). Calculate the smallest common multiple of 21 and (-3)\/(w\/(-45) + 1).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**4\/12 - 19*m**2 + 2*m. Let p(i) be the first derivative of 17*i**2 + 5. What is q(p(l))?\nAnswer: -68*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**7\/840 - 5*s**4\/24 + s**3 + 4. Let c(r) be the third derivative of t(r). Find the first derivative of c(p) wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 1. Let d be v(2). Suppose 1 = 4*r - 15, 5*r - 47 = 3*f. What is the lowest common multiple of ((-2)\/(-6))\/(d\/f) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15589735?\nAnswer: 5, 7, 211, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/61 (b) -0.15 (c) -5 (d) -1\/4 (e) -0.2 (f) -3 (g) -23\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**2 - 85*x + 3567. What is a(-30)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942190 is divided by 431.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 12. Let q(o) = o. Let f(a) = -j(a) + 2*q(a). What is the smallest common multiple of 6 and f(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyeylyiyyweyhwiyi. What is prob of sequence wi?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 84*i + 180.\nAnswer: -3*(i - 2)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11*11*(2 + 2 + -5). Let s = r + 748. Is s a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -19*g + 477. Give i(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(-24) - 152470\/(-40)?\nAnswer: 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302276 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, w: 4, g: 3}. Give prob of picking 2 c and 1 w.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, g: 5, n: 1, y: 1, o: 2, z: 5}. Give prob of picking 2 y and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -142\/7 in -1\/6, -0.11, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6)\/u)\/u**(-3\/7)*(u\/(u**0*u))**(-1\/22))\/((u*u**(-4))\/u*u\/(u\/u**(-1\/8))*(u\/(u*u**(-1\/10)))\/(u*u*(u**(2\/9)*u)\/u)) assuming u is positive.\nAnswer: u**(-817\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-56)\/(-49))\/((-8)\/(-28)). Suppose 5*w - 4*n - 41 = 4, n - 36 = -i*w. Calculate the remainder when 36 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 951, 1363, 1711, 1983, 2167?\nAnswer: 2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 433590510 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 = g - 4, -4*h + 4*g = 0. What is the third smallest value in -0.05, h, 3, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 3*z + 357 - 369 = 0, 122*x - 3*z = -357 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5 = -3*d - 2, -v - 7 = -2*d. Solve v*u + 5 = -4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.9433 + -0.0567. Which is the nearest to 2? (a) 0.4 (b) z (c) -2 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -5, -32\/3, 0.1, 12\/11, -9?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1771750573 to the nearest one hundred thousand.\nAnswer: -1771800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010000011 - 1?\nAnswer: -1011010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -287654627\/17 smaller than -16920861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14189970 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*y + 10, -7*f - 16 = 4*y - 9*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m + 20. Calculate the common denominator of 2 + m - 31\/2 and (-5)\/(-2)*(-38)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -183859963 and -0.5.\nAnswer: -183859963.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3458130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17495, -69846, -157099, -279254, -436311, -628270, -855131?\nAnswer: -1116894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -145 - 11*l**2 - 125*l + 12*l**2 - 80 + 132*l + 13 in the form d + q*l**2 + c*l and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1 + 12*v + 11*v**2 + 3*v**3 + 0*v**3 - 2*v**3. Let l be u(-10). Let j be l\/(-14)*(-60)\/(-9). Solve -3*s + 16 = -0*s + 2*d, 0 = -5*s + 5*d + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2050*p**2 - 285*p**2 - 2443 + 271*p**2 + 990*p**2 + 2265*p**2 with respect to p.\nAnswer: 10582*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.08 (b) 163742 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 4 (c) 20 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/12)\/(7\/21). Let i = 33 + -54. Let f be 99\/i - (-6)\/(-21). What is the biggest value in -1\/3, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 14816*q - 14820.\nAnswer: 4*(q - 1)*(q + 3705)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = k + 2*k + f, 0 = -3*k + 4*f - 17. Let b be -7 - -6 - k*-8. Suppose 9*t = 16 - b. Put t, 5, -1 in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llpplpllpppllpplpll. Give prob of sequence lllp.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 855 and 68398195?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-35) + (-58)\/7. Let d(c) = -4*c - 4. Let h be d(-5). Let z = x + h. What is the lowest common multiple of z and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 11:08 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zar when three letters picked without replacement from aaaaazraa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11955 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g + 1. Let j(n) = -n. Let l(k) = -4*j(k) + q(k). Let o be l(-4). Let w(y) = -o*y + 5*y - y. Let r(s) = -s**2. Determine w(r(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2062983 (base 11) to base 2.\nAnswer: -1101110111011001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldudldluujducull. Give prob of sequence uuc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1552362 and 809928.\nAnswer: 18628344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfee. What is prob of sequence ne?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*n = -32, n - 6*n - 68 = -4*w. Solve 2*a + w - 18 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13136 - 2?\nAnswer: 13134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0224 - 30.9776. Which is smaller: -1\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 1055\nAnswer: -9\/1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 14. Let i = f + -29. Which is the second smallest value? (a) i (b) -2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1606 and 9877703.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13458, 13254, 13050, 12846?\n\"Answer: -204*t + 13662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1156578?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13967282 and 124?\nAnswer: 865971484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499 = 15*u - 1879. Let i = u - 32. Suppose -54*y + 55*y = i. Calculate the highest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/4 - 14*k**3\/3 - k**2\/2 + 6*k + 4. Let z be t(14). Let l = 13 + z. Let p(q) = -q - 1. Determine p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.124846 and -0.5.\nAnswer: -0.062423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 15681 to the nearest 100.\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from qihvp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114310)\/(-133906) - (-6)\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1038\/11245*(-260)\/(-30)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {y: 4, i: 1, o: 1, b: 3, s: 1, d: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 >= 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 3. Let g(a) = -1. Let s(j) = 4*g(j) - q(j). Let o be s(-3). Solve -2*t + 7 = -3*l - o, -17 = 2*l - 5*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/133)\/((-2)\/(-126))*-1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 50. Suppose 95 = -c*a + 9*a. What are the prime factors of a?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2. Let n(b) = -16*b + 1. What is o(n(q))?\nAnswer: -256*q**2 + 32*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h. Let a(k) = -152*k + 223. Let b(s) = 151*s - 178. Let q(u) = 4*a(u) + 5*b(u). Calculate x(q(v)).\nAnswer: 1176*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 17.4. Let m = -1.8 - f. Let x = -4 - m. What is the second smallest value in -5, x, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -344030084*j**2 - 14*j + 7575944 wrt j?\nAnswer: -688060168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -6*o - 15, 0 = r - o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o*q**5 - 2*o*q**3 + 65*o*q**2 + 17*q**5 - q**2 wrt q?\nAnswer: -60*o*q**2 - 12*o + 1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 111987 = -23*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41523164 and 141577.\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-14 + -34) - 51?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.110691 take away -0.0582?\nAnswer: -0.052491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 710 and 1.\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 39 - 39 + o. Let p(i) = 3*i. What is b(p(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/5 - 4\/5. Which is the closest to l? (a) -0.1 (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -41. Let s = h - 5. What is the remainder when 29 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -23) + (-336)\/24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z**5\/3 + 2372*z**4 - 120500*z**3 + 3983476*z**2\/3 - 2099528*z - 2592096 = 0.\nAnswer: -402, -4\/5, 3, 13, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + 63. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 67 - 137 - 245*b)*(35 + 16*b**2 - 35).\nAnswer: -3920*b**3 - 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*m - 716, 0 = -3*m + 150 - 153. Calculate the remainder when t is divided by (21\/2)\/(2\/12).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 287*f**3 - 4*f**2 + 7*f + 465. Let a(i) = -285*i**3 + 5*i**2 - 8*i - 467. Let h(r) = -4*a(r) - 5*x(r). Differentiate h(s) wrt s.\nAnswer: -885*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237.00331 + 237. What is c rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 64. Let f be 9\/(h\/(-8)) + 4. Suppose -6*u - 6 + 30 = f. Solve u*l - 6 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) 3\/32 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(700))*2 + 4)**2 - (3*sqrt(700)*-2 + -2).\nAnswer: 540*sqrt(7) + 2946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bb + -17b7?\nAnswer: -16c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5069, -20175, -45315, -80489?\nAnswer: -125697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -8*c**5 + 6*c**4 + 34*c**3 - 24*c**2 - 8*c = 0.\nAnswer: -2, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 7\/69591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 186 - 204. Let r(g) = -14*g**2 - 16*g + 2. Give r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + f + 10 = 0, 2*v - 6 = -4*f + 2. Suppose 2*t - 2 = v, 5*n + 15 = -t. Let k = -32.32 + 32.02. What is the nearest to 3\/5 in n, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + k + 3 = -4, -2*t = 3*k + 6. Does 32 divide t + (-7)\/((-14)\/(-4)) + 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.4, -25, 0.04 in decreasing order.\nAnswer: 9, 0.04, -0.4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 11 + 7. Suppose -q*n = -n - 1465. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = c - 2. What is the hundreds digit of (-1974)\/(-15) - (90\/25 + c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 283146 and 291203?\nAnswer: 71635938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbubqbubbqmmbbm. Give prob of sequence mu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.58 times 1163?\nAnswer: -9978.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6147 divided by -3\nAnswer: -2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**5 - 8*w**4 + 2*w**3.\nAnswer: 2*w**3*(w - 1)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 375.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 21. Let a = -7 + r. Factor 4\/3*k**2 - 1\/3*k + a.\nAnswer: k*(4*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*u**3 - 1421*u**2.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42146 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**4*g + 435225*d*g**3 - 34*g**3 + 4*g**2 - 2*g + 28 with respect to d.\nAnswer: -8*d**3*g + 435225*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110618*j**2*r + 24*j*r - j + 14*r - 6 wrt j?\nAnswer: 221236*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12893 - -7244. Let q = p + 282471\/50. Let x = -2\/25 - q. Put 3, 2\/7, x in increasing order.\nAnswer: x, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v - 1. Let x(w) = -3*w**3 + 72*w**2 + 75*w - 90. Let n(s) = -18*o(s) + x(s). Factor n(f).\nAnswer: -3*(f - 24)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5213, -5189, -5127, -5009, -4817, -4533?\nAnswer: -4139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*b + 3 = -1, 5*b + 15 = -y. Sort y, -2, 2, -52 in decreasing order.\nAnswer: y, 2, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a52957 (base 11) in base 9?\nAnswer: -3151761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 8) to base 3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h = -41*h - 32. Let m(z) = z**2 - 4*z + 7. Give m(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -9*x - 902. Let b = x + 81. Is b <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01622 rounded to four decimal places?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, -64, -123, -166?\n\"Answer: 8*y**2 - 99*y + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 - 2*j**2 + 4*j**2)*(-38*j - 24*j - 48*j) - j**3 - 3*j**3 + 2*j**3 to h*j**2 + g + y*j**3 + m*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = 8*q + 120. Let s(n) be the third derivative of -n**4\/8 - 7*n**3\/3 - n**2. Let p be s(q). Solve -5*w + 0 = 2*f - 21, -w - p*f - 3 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a**5 - 945*a**4 + 20430*a**3 + 359985*a**2 - 379476*a = 0 for a.\nAnswer: -12, 0, 1, 83\/2, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2 + 670*p = 0.\nAnswer: 0, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(7\/(-8)) - 2. Let b = -11 + t. What is the units digit of 2*(b + 2 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 134\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 2*y = -402. Let k be -3 + 4\/(-4) + y. What is the greatest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -343*s**4 + 123 wrt s.\nAnswer: -1372*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 2 = 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 - -262. Let b = 95 - l. Suppose -228 = -b*w - 3*c, 3*w + 2*c - 225 = -2*c. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:16 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 205, 540, 1031?\n\"Answer: 78*c**2 - 55*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q - 4*x = -192, -4*q - 31946 = 5*x - 31982 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1748 and 4468.\nAnswer: -7810064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 11*v - 62. Suppose 4*q + 214 = 4*s - 9*s, 0 = 5*q + v. Does -35 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 2816.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**13)**(6\/13))**27 assuming s is positive.\nAnswer: s**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**2 + 2080*l + 12300 = 0.\nAnswer: -410, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21937 + -21933. Solve -40*n = -41*n + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.2. Let w = 12831.5 + -12832. What is the closest to j in w, -4, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7170 and 10755.\nAnswer: 21510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 9:11 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282647?\nAnswer: 23, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 46 = 2*f, 2*g - f - 19 = 0. What is the remainder when 29 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q + 3*x - 36 = 0, 2*q - 44 = 5*x. What is the remainder when 2*((-9)\/q)\/3*-206 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.1, 1, 1\/8, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose s - c = -2*j - 2*s, -5*s + 20 = 0. What is the units digit of j*(3 - (-284)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2\/3 + 84871*x + 2546030\/3 = 0.\nAnswer: -254603, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -79?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -13, -17, -13, 5, 43?\n\"Answer: v**3 - 5*v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-90)\/195*-26.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2)\/1 - (-22626)\/54. Let f = n + -422. Let i(d) = 16*d + 2. Give i(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 17*o. Let z(m) = 551*m**2. Determine z(w(s)).\nAnswer: 159239*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1687, 6739, 15159, 26947, 42103, 60627, 82519?\n\"Answer: 1684*d**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -24 + 17 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (2 + 6\/(-5)). Let p = -947 - -945. What is the nearest to 2 in p, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -10*a**2 - 16*a - 22. Suppose -2*z + l - 6*l = 33, 5*z - 2*l = -10. Let r be (10\/6)\/(z\/12). Let m(b) = -3*b**2 - 5*b - 7. Give r*i(w) + 16*m(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61630, 122661, 183692?\nAnswer: 244723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/12 + 2*h**3\/3 + 7*h**2. Let l = 1 - 0. Let z(p) = p + 1. Let s(t) = l*n(t) - 4*z(t). Let v(r) = -5*r. Give s(v(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/12156632 and 83\/7866056.\nAnswer: 133722952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -228, -506, -894?\nAnswer: -1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.5. Let t = 9.49 + -9.49. What is the third smallest value in -0.2, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -37, -52, -85, -142?\n\"Answer: -c**3 + 4*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 31*w + 14. Let p(f) = -f**2. Give s(p(r)).\nAnswer: -31*r**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708120277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 495 and 8363190.\nAnswer: 25089570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 at most 0.39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 276 = -213 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 6*h + 6. Let z be m(-5). What are the prime factors of z*(-1 + -1) - -23?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c + 96. Calculate k(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27165541791 minus 1.4?\nAnswer: -27165541792.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -135*(-60)\/(-3000)*(-25)\/20?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - -5.88. Let a = -6.4 + z. What is the closest to 0.1 in a, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2497965 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 37*g - 731 = 0. Let u(n) = 9*n + 196. Let z be u(g). Which is smaller: z or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20162 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 969893363 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0675 - 0.015. Let z = -2.76 - -2.7. Let g = z + x. What is g rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -675, 4, -1 in descending order.\nAnswer: 4, -1, -5, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + o**2 + o**2 + o**2 - 6*o**2 + (-2*o**2 + 0*o**2 + o**2)*(0 - 2 + 1))*(-4 - 2 + 4)*(7*o - o + o).\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1724)\/16)\/(1\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**2 - 741*l - 2238. Give d(-3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 3)**2 + 3.\nAnswer: 24*sqrt(17) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0 + 4, -2*m + 242 = 2*r. What are the prime factors of r?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 1, n: 1, f: 2, l: 2}. Give prob of picking 1 l, 1 m, and 2 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 + 6*y - 6. Let x be k(4). Let q be (-3)\/(-35)*(-2)\/x. Let i = q + -13673\/2380. Calculate the common denominator of 99\/16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*k + 19104 = -150*k. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, and 2 l when four letters picked without replacement from {l: 4, h: 3, a: 11}.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29637680 and 19264492.\nAnswer: 385289840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750 a factor of 4878170500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03382 + -1.56618. Is 10\/17 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 5*x - 2. Let o be c(7). Let i = o - 22. Let f(b) = -414*b**3 - 14*b + 9*b + 11*b**2 + 14*b + 415*b**3 - 9. Determine f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 9, -6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 13*f**2 - 9*f + 30. Calculate n(-13).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 7*b + 1 + 0*b - 492*b**2 - b - 2*b.\nAnswer: -492*b**2 + 9*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191507663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(17\/((-68)\/(-64)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1cd9 - c?\nAnswer: -1ce6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 51*x - 173. Determine w(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24430361771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h + 4*c = 660, -2*c = -6. Let o = h + 232. Calculate the highest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366697193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + 4*x**2 - 3*x + x + 16*x**3.\nAnswer: 16*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -0.8, -25 in decreasing order.\nAnswer: 1, -0.8, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6768, -6754, -6740, -6726?\n\"Answer: 14*y - 6782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 35 = -18 + 26 - 45, -n + 5*v + 18 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -4, 116 in decreasing order.\nAnswer: 116, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2*a + 13, 10*q - 5*q + a + 21 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 29*o + 7. Let b(d) = 15*d + 4. Suppose -2*q - 143 = -165. Determine q*b(h) - 6*u(h).\nAnswer: -9*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - 2*h)*((-4*h**2 + 0*h**2 + 2*h**2)*(h - 2*h + 0*h) + 0*h - 4*h**3 + 0*h).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 1. Let w(y) = 10*y - 5*y + 0*y - 3 + 10. Let s be (-7)\/(35\/(-20))*(-3)\/(-3). Give s*d(o) - w(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3393063 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 280\/588*21\/12. Let h(t) = -t**3 + 2*t**2 - 2*t + 1. Let x be h(2). Put 2, x, n in ascending order.\nAnswer: x, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 + u**2 + 0*u**2 - 7 + 5*u**3 - 13 + 15 to the form j*u**3 + b*u**2 + t + z*u and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4122482 divided by -1?\nAnswer: -4122482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 51537.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9562 and 261589?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, 1 y, and 1 n when four letters picked without replacement from trryrneyeereyyy.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3)*(-15 - (-5222)\/350)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3480208 divided by 3928.\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 313?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*g - 239 - 31*g + 243)*(-71*g**4 - 6*g**4 - 30*g**4).\nAnswer: 1498*g**5 - 428*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*f*j**3 - 2*f*j**2 + j**3 - 26*j**2 wrt j.\nAnswer: 318*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-15)*(u\/u**1)**(3\/10))\/((u\/(u\/u**(1\/4)))**7*(u\/u**(-1\/4))**(-7\/6)) assuming u is positive.\nAnswer: u**(-367\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 21 = 8*g. Solve 5*w + d = -2, 5*w + 2*d + g = -2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 8*r + 247\/4.\nAnswer: (r - 19)*(r - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 36*v + 3 + 1 = 0, -2*y + 22 = 209*v - 203*v for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607719 is divided by 862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by -2.\nAnswer: 215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2. Let x(i) = -i**2 + 7*i - 16*i - 2*i. Determine j(x(b)).\nAnswer: -2*b**4 - 44*b**3 - 242*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 438 and 261.1.\nAnswer: 114361.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 14) to base 7.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 18}. Give prob of sequence pl.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a**2 + 0*a)*(1 + a - 1) - 79*a**3 + 81*a**3 - 4*a**2 + 34 - 11.\nAnswer: a**3 - 4*a**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1 - -10 - 2. Suppose y = -3*v + 23. List the prime factors of (45\/(-3))\/(v\/(-15)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3*40)\/(-4))\/((-19615)\/(-7846)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-10)\/30)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 10) to base 4.\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 2*m - 6*m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 156?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/10 + (6\/10 - 1). Solve m*s = -3 - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f - 41. Let o be s(5). Let a = o - -16. Let d = a - -74. Calculate the remainder when 79 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6209 times -1.69\nAnswer: 2.739321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edtdtddwdtdtdtdtdt. What is prob of sequence wed?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110100011000101 (base 2) to base 11.\nAnswer: -63431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11 - 5 = 0. Let k(w) = -m*w + 6*w + w. Let d(b) = 3*b. Calculate d(k(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 1 + 5 + 0*o + 6*o + 2. Let y be t(6). What is the third derivative of 4*q**y + 2*q**2 - q**2 - 3*q**2 wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15462 is divided by 90?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10094000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 + 4*k + 4. Let u be (-4)\/(-2) - 0\/(-1). Let p = -12 - -15. Let b(y) = -p*y + 2*y + 10 - 7 - 4*y**2 + 4*y. Give u*n(t) - 3*b(t).\nAnswer: 2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6146959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -3 + 1 + -30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*l**2 - 1)*(6*l - 3*l - 2*l) + 2*l - 3*l**2 + 3*l**2 - 2*l**3.\nAnswer: 4*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. What is the units digit of 4*1*u\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*d - 2*c + 24, 2*d + c - 14 = 0. Calculate the highest common factor of 306 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/6 + 168\/(-9). Is q\/((-12)\/8*1\/3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**4 - 3101*j**3 + 12176*j + 3.\nAnswer: -156*j**2 - 18606*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -4*((-1294542)\/(-8) - -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*d + 451 - 235*d + 115*d.\nAnswer: -d + 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Suppose l*y - 2*k + 202 = 0, 0*y + 2*y - 3*k + 83 = 0. Suppose 444*q - 240*q = -8160. Is y bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/11))**(-37)\/(v**(17\/5)*v*v*v**(-2\/41)*v) assuming v is positive.\nAnswer: v**(8433\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 3*l**2 + 16*l + 11. Let r(q) = q**2 + q + 1. Let n(w) = o(w) - 6*r(w). Let p be n(8). Is 21 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - z + 4 = q, -3*q + 75*z - 80*z + 12 = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:59 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, v: 3, p: 5, s: 1}. What is prob of sequence vl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 312357009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*s = -5*k - 2258, 5*k - s - 11347 = 0. List the prime factors of k.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-2 + (3 - -2))) + 3 + 28 + -23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3522 is divided by 141.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -280, -622, -1100, -1714, -2464, -3350?\nAnswer: -4372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7951, 7963, 7975, 7987, 7999, 8011?\nAnswer: 8023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1817188156 to the nearest integer?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 120*n - 1193. Calculate r(17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) 4 (c) 0.3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvc when three letters picked without replacement from {v: 4, h: 6, z: 4, c: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0 + 0*a + 1\/15*a**5 - a**4 + 121*a**2 - 14\/3*a**3. Solve s(q) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -4*p**6\/105 + 4*p**5\/21 - 17*p**4\/84 + 2*p**3\/21 - 178*p**2. Suppose t(u) = 0. What is u?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -19. Let p = 24 - t. Suppose -5*z = 2*g - 38, 4*g - 64 = -p*z + 2*z. What is the remainder when 67 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 283150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Let h be 1*((-24)\/(-4) + 0 + -3). Solve u**3 - 2*u**2 + 8*u - 9*u + u**2 - h*u**o + 4*u**4 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4 - 122\/(-144). Let u = k + 11\/8. Let l = 0.1 - 0.4. What is the closest to 1 in 3, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3403c (base 14) to base 12.\nAnswer: -610b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 6*z - 354. Put -1, z, -4, 4 in increasing order.\nAnswer: -4, -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -16*k + 3. Let p(d) = 5*d - 1. What is -7*p(w) - 2*v(w)?\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.037 - 0.037. Which is the closest to -5? (a) 1\/7 (b) -3\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/156 - (18\/52 + 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -3)*(22 - 11535\/525). Which is the fifth biggest value? (a) x (b) -0.1 (c) 2\/3 (d) 1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1033590 and 319545.\nAnswer: 3945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**3*i**2 + 8*b**3*y - b**2*i**2*y - 4*b**2*i*y + 4*b**2*y wrt b?\nAnswer: -30*i**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797848158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*n**5 + 49*n**3*y + 104*n*y + 3*y wrt n.\nAnswer: -100*n**3 + 294*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -386180, -386148, -386116, -386084, -386052?\n\"Answer: 32*o - 386212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 5. Let s(c) = -5*c - 8. Let y(g) = 5*s(g) + 8*z(g). Let t(p) be the second derivative of -9*p**3\/2 + 522*p. Calculate t(y(o)).\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -1\/3*a**4 + 27*a - 4 + 1\/2*a**3 + 0*a**2 + 1\/10*a**5. Let t(m) = -m**2 - m. Give j(k) + 3*t(k).\nAnswer: 2*k**3 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7*k = 18. What is the nearest to 1 in -2\/3, k, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58219 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*15*(-4)\/(-18). Let a(v) = -v - 8. Let k be a(b). Let g be ((-3)\/(-9))\/(k\/24). Solve -g*x - 17 = -2*w - x, -2*x - 22 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25251 and 306.\nAnswer: 2575602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 112*i\/3 + 3136\/3.\nAnswer: (i - 56)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**3 - 6*t**2 + 6*t + 8. Let l(h) = h**3 + h**2 - h - 1. Let c be -68 - -84 - (9 - -1). Suppose -m = -2*m + 1. Determine c*l(w) + m*n(w).\nAnswer: -w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 3. Give r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2edc63 + 12e?\nAnswer: -2edb34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000299223478 rounded to six dps?\nAnswer: -0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.043529 (b) -0.5 (c) -3 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*y + 3*y. Suppose -5*d = 4*j - 0 - 30, -4*d + 2*j - y = 0. Find the third derivative of -34*b**d + 3*b**3 + 29*b**2 + 2*b**3 wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n + 18 = -3*f, 0 = 4*n - f + 34. Let k = -4 - n. Suppose k*w - 2*w + 4 = -4*y, y = -w. Solve 1 - w = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -5\/3*l**3 + 1\/3*l**4 + 2*l + 1\/40*l**6 - 4*l**2 + 0 - 1\/10*l**5. Calculate the remainder when t(4) is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 4*x + 13*x)*(-3 - 2*x + 3) + x**2 - 3*x**2 + 0*x**2 + (-2 + 2*x + 2)*(-3*x + 4*x - 3*x) - 3*x**2 + 5*x**2 + x**2 + 29*x**2 - 183 + 183.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -650, -1411, -2454, -3773?\nAnswer: -5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 2)*(84*k + 70*k - 46*k)*(-k + 1 - 1 + (-1 + 3 - 3)*(0 + 0 - 2*k) + 1 - 1 + 7*k + 2 - 2*k - 2 - 2 + k + 2).\nAnswer: -3780*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317560 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -42) + 0 + (3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1995543 + -607289. Suppose -3*r + x - 2219997 = 0, 2*r + 2*x = -91752 - w. What is r rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8049 - 8109. Which is smaller: b or -57?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1099900.238 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.375094 hours to minutes.\nAnswer: 142.50564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2270 = 32*i - 1570. Calculate the greatest common factor of i and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 + 5*d - 10. What is the tens digit of l(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) 3\/8 (c) 0.41 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - -178. Let h = a + -54. Solve 10 = h*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800b9 (base 13) in base 2?\nAnswer: 110111110100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)*r*(r*r**1)\/r*r*r)\/((((r*(r**2\/r)\/r)\/r)\/r)\/r*r\/r**(-10)*r) assuming r is positive.\nAnswer: r**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 <= -31\/118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1331))**2*3*3.\nAnswer: -396*sqrt(11) + 12015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/90 and 29\/217.\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7 + 0 - 6*p + 0*p. Let k be y(3). Let g = -10 - -4. Let d(l) = 15*l - 4. Let x(n) = -8*n + 2. Determine g*d(w) + k*x(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 51*h + 5 = 0. Let z be 2 + h - (-11 - -13). Solve 0 = -2*s + z + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -8 in decreasing order.\nAnswer: 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + t**2 + 0*t**2)*(5*t**3 - 15*t + 15*t) + 24*t**3 - 24*t**3 - t**5 + (-t**2 + 1 - 1)*(3*t**3 + t**3 - 6*t**3).\nAnswer: -19*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4539008289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 77.55 - -1009069\nAnswer: 1009146.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(33\/18)*(-3)\/9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2142 divided by -102\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12194)\/91)\/(-2144))\/((-2)\/(-4))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -299980, -300570, -301554, -302932?\n\"Answer: -197*n**2 + n - 299784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 590392381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:11 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2241?\nAnswer: -5\/2241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2*a**2 - 2*a**2)*(-109 - 1357 + 261).\nAnswer: 1205*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1458 and -29\/31590?\nAnswer: 94770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 2, m: 2, d: 9, c: 3, i: 1}. Give prob of picking 1 i and 2 c.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldllddddd. What is prob of sequence ddld?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62115 and 4?\nAnswer: 248460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, g: 1, z: 7}. What is prob of sequence vzz?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 14*j**3 + 18 + j**2 - 3*j + 6*j - j to g*j**3 + c + p*j + m*j**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -11, 2, 31, 82, 161, 274, 427?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -173187 (base 9) in base 15?\nAnswer: -21bed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -63*t**2 - 15*t - 9. Let x(s) = -16*s**2 - 4*s - 2. Let p(r) = 2*f(r) - 9*x(r). Let d be p(5). Round d to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200*k - 181*k + 215*k)*(2*k**4 + 2*k**4 - 5*k**4).\nAnswer: 166*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651466687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*g + 129219 = 0, 2*g = 3*t - 2*g - 77533. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -5)\/((-24)\/(-34126)). Let k be 8\/2*7125\/(-10). Let d = k - l. Find the common denominator of -47\/11 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 43\/129 - (-40)\/15. Solve -n + 2*v = -2, -h*v = -4*n - 5 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 42*i - 72.\nAnswer: -3*(i + 2)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16213 (base 9) to base 16.\nAnswer: 2b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.0098?\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5961 + -2328. Suppose -6*q + a = q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/806778 and -101\/56616.\nAnswer: 3227112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from zvvllzozvll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/2 - 150*b**3 - 17303*b**2\/2 + 292650*b - 1820448 = 0. What is b?\nAnswer: -196, -129, 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*n**4 - 49610*j**2 - j + 103633399*n**4 + 1790 wrt n?\nAnswer: -8*j**2*n**3 + 414533596*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39883 - 1196651\/30. Calculate the common denominator of -18\/2305 and n.\nAnswer: 13830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11429953 by 4.\nAnswer: -11429953\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Suppose -2*g + g + b = 0. Suppose 3*l - 5*q - 158998 = -3*q, 2*l = -g*q + 106005. What is l rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8069*x**3 + 8190*x**2?\nAnswer: 48414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + 3 + (sqrt(1300)*1 + sqrt(1300))**2 + 5*sqrt(1300)*3 + -2.\nAnswer: 150*sqrt(13) + 5205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73015.83298049 and 0.05.\nAnswer: 73015.88298049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 72 (b) -0.0082 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7932 and -22.\nAnswer: 39.4504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 34\/(-14) - (-56)\/98. Suppose d = -h + 394 + 453. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejyp when four letters picked without replacement from {j: 6, i: 2, y: 2, p: 3, c: 2, e: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 - g**2 + 3*g**2)*(g**2 + 4 - 4) + 4*g**4 + 3*g - 3*g**4 - 2*g.\nAnswer: -g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25401 is divided by 74?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 68*z + 672 = 0 for z.\nAnswer: 12, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 14*g**6\/15 + 5*g**3 - 3*g**2 + 406*g. What is the second derivative of h(w) wrt w?\nAnswer: 336*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/8 + -1)*10. Let m be -4*(-2 + -2 + 3). Solve -5*s = m*a - 27, 3*a = -y*s + 8*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 74, 104, 134, 164, 194?\n\"Answer: 30*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1736\/1116)\/((-84)\/(-46) + -2) - -9?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + -2 + (12 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.096, 0.2, 0?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*p - 17*p. Which is the third biggest value? (a) -1\/5 (b) p (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651666 divided by -1?\nAnswer: -651666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -469 - -812. Suppose m*p = 349*p + 12. Suppose b + 1 - 3 = 3*o, -5*b + 10 = -2*o. Put 5, b, -1, p in ascending order.\nAnswer: p, -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*k**5 - 2644*k**3 + 376116*k**2 wrt k?\nAnswer: -2820*k**2 - 15864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -847 + 877. What is the highest common factor of 1590 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3290*k + 78. Let i(r) = 658*r + 14. What is 11*i(x) - 2*w(x)?\nAnswer: 658*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 595990253 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**4 + 62*t**3 + 1078*t**2 + 3374*t + 20. Let q(d) = 3*d**4 - 62*d**3 - 1077*d**2 - 3372*d - 16. Let z(n) = 4*k(n) + 5*q(n). Factor z(a).\nAnswer: -a*(a + 4)*(a + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 - 8.81556838265?\nAnswer: -308.81556838265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*v - 245 + 240 + 437*v + 354*v)*(2 + 0 - 4).\nAnswer: -1394*v + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32904 + 58*y**2 - 4*y + 32904 to the form u*y + g + p*y**2 and give p.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.5 - -22.5. Which is the closest to 0? (a) -2 (b) u (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 14*q - 377. Calculate the remainder when q is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 473 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16*-2*(-125)\/20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47825 >= 47825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let i(w) be the third derivative of -w**5\/60 - 37*w**4\/24 - 138*w**2 - 3. Determine i(b(o)).\nAnswer: -o**2 + 37*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 3:23 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 3, -2, 5, -3\/13, 124\/19?\nAnswer: 124\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 6*p**2 + 6*p - 3. Suppose 5*c = -0*c. Let q(r) = -r**3 - 20 - 8*r**2 + 7*r**2 + 10 + 15. Let m be q(c). What is t(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -673\/56 - -95\/8. Which is the third smallest value? (a) -0.3 (b) 2 (c) 12 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2540.\nAnswer: 10160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4442 - -97775\/22. What is the common denominator of i and -79\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*c - 157 = 0, c - 100 = 5*z - 270. Let n = -28 + z. Solve -n*q = 10, 4*w + 4*q - 1 = 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6534 and 25652.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.856 rounded to zero dps?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/67148756 and -8\/8615?\nAnswer: 335743780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94*l**3*x + l**3 + 4*l**2*x - 264 wrt x?\nAnswer: 94*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41b - 2a?\nAnswer: 3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -74 (base 15) to base 3\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1000010 (base 2) to base 11\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(6\/7)*l)*(l\/(l\/l**(2\/5)))\/l*(l*l*l**(-2\/3))\/l**(-2\/7) assuming l is positive.\nAnswer: l**(17\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117 or -145?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 3, i: 1, w: 3, g: 1, q: 11}. Give prob of sequence vgm.\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 263, 5, -1, -2\/5, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13906 - 4*q + 13906. Let w(h) = 5*h**2. Calculate i(w(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*17\/1428*5\/(30\/(-4)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) + 93\/(-9). Let r be ((-24)\/(-30))\/(59\/(-30) - -2). Let t = r + x. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 21*m + m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.032 and 0.4.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 1166660718?\nAnswer: -1166660717.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 13*k + 60*k = 15352. Suppose -5*n = -2*n. Suppose n = g + 5 - k. List the prime factors of g.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 13, w: 2, i: 3}. Give prob of sequence iiow.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -30805\/6 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 48*k + 205. Let w(p) = 48*p + 211. Calculate 8*q(t) - 7*w(t).\nAnswer: 48*t + 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9149032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 4*h)*(1 + 1 - 1 + (4 - 1 - 5)*(-5 + 1 - 2)) + (2 + 1 - 4)*(3*h - 2*h + h).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-997 + 2 + 1). Let h = u + -552. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:59 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/24*(-2)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*f + 6 + 106, -2*k - 3*f = -41. Let a = k + -25. Is a > 4\/579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69147*y**4 + 2385?\nAnswer: 276588*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1247*j + 2350. What is the hundreds digit of g(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, -3, 1, 32.\nAnswer: -3, 1, 3, 14, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.744658 - 11.791. Round x to 4 dps.\nAnswer: -0.0463","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6347849 is divided by 352653.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -9 + -13 + (-1 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 9*y - 1. What is i(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m + z - 733, -3*m + 2*z = -445. Let s = m - 60. Let u = s - 42. What is the greatest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470768 is divided by 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 v when four letters picked without replacement from {v: 6, q: 4}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 71789814?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 35?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 1 + 6)\/(3\/62). Let y = 573 - d. What are the prime factors of y?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - u**4 - u**2 + 2*u**2 - 2*u - 3*u**2 as b*u**4 + o*u**2 + y*u + a + t*u**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1023.172 in descending order.\nAnswer: 1023.172, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2013739024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**2*l)\/l)\/l)\/l)**(10\/13) assuming l is positive.\nAnswer: l**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 12\/(-8) - (-3)\/(-9). Suppose 0*z = 4*z - 52. Let f = z + -14. Is l < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*u*x**2 + 35679*u - 492*x**2 - 1113 wrt u?\nAnswer: -15*x**2 + 35679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*y = -5*y - 140, -5*g + 2*y = -131. Let w be ((-78)\/(-12) - -1)\/((-2)\/(-60)). What is the highest common divisor of w and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-3 + 2 - 0) + (-35)\/(-25))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 105*c**3 - c**2 - 8*c + 17. Let j be r(2). What is the highest common factor of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*k**3*x**3 + 1649*k**3 + 2*k*x**2 - 88*x**3 wrt x.\nAnswer: -150*k**3 - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13497599.\nAnswer: 13497599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13689148, -27378301, -41067454, -54756607, -68445760, -82134913?\nAnswer: -95824066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6 + 8. What is the highest common divisor of f and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpra. What is prob of sequence rr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31860 in 2\/7, 33, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000061154468 rounded to six decimal places?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00192559955 to 7 decimal places.\nAnswer: -0.0019256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -184, -373, -566, -763, -964, -1169?\n\"Answer: -2*b**2 - 183*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 s, and 1 v when three letters picked without replacement from {c: 4, s: 2, v: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -29, 7, -164?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/33)*d\/(d*(d*d**25*d)\/d) assuming d is positive.\nAnswer: d**(-860\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 20 - 21)*(-v + 2 - 1 + 2*v)*(0*v**2 + 0*v**2 - v**2).\nAnswer: 49*v**3 + 49*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 11:56 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94 and 4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2165?\nAnswer: -2\/2165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 15, j: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23768657?\nAnswer: 11, 2160787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*i = w - 79 + 1080, -w = -3*i + 3*w - 16 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8312869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-36)*-16*(-1)\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218*b**6 - 45*b**5 - b**3 - 435130*b**2 wrt b.\nAnswer: 26160*b**3 - 2700*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19728)\/(-7) - (-920)\/1288.\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13*g**3 - 5*g**2 + 5*g. Let l(d) = -13*d**3 + 4*d**2 - 4*d. Let i = 3649 - 3645. What is i*c(o) + 5*l(o)?\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/218, -2, -3, 0.07 in increasing order.\nAnswer: -3, -2, -1\/218, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -10.5. Let c = 9 - 8.6. What is the third biggest value in c, b, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 2*k**3\/3 + 2*k**2 - k. Let w be i(4). Suppose -5*h + 3*h = b - 7, 4*h = 4*b + w. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 19\/36 and 0.07961 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/(8\/6008). Let d = 53527\/180 + g. Find the common denominator of -101\/6 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0*d - 544. Is d a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 56597716 and -23.635.\nAnswer: 56597692.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413\/3 + 2\/6?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Let o = 18 - 17.6. What is the second smallest value in u, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 580118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c + 5. Let b(h) = 26*h + 26. Let j(l) = -l - 6. Let s be j(-8). Calculate s*b(q) - 11*r(q).\nAnswer: -3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 900.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14512275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -335*s**4 - 127*s**5 + 335*s**4 + (-2 + 3 + s + 0*s)*(s**4 + 4*s**4 - 2*s**4).\nAnswer: -124*s**5 + 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42521891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyy when three letters picked without replacement from kvbkbvyvvbkbbyyycvc?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 35*v + 464. Give m(-11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -10, -3, 20, 65?\n\"Answer: v**3 - v**2 - 7*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 5.34\nAnswer: 128.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 8 - 15)*(-11*p**2 + 14*p**2 + 8*p**2) to w + j*p + i*p**2 and give i.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -168608, -337212, -505818, -674426, -843036, -1011648, -1180262?\n\"Answer: -d**2 - 168601*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 670, 1054, 1592, 2284, 3130?\nAnswer: 4130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 15770?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 5:51 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-17)\/(68\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 10 + 18*s**2 + s**4 - 18*s**2 to the form h*s + z*s**4 + d*s**2 + r + c*s**3 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56456, 112919, 169382, 225845, 282308?\n\"Answer: 56463*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) 4 (c) -0.5 (d) 2.41 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471404169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-51)\/(-7) + (-1224)\/4284. Calculate the greatest common divisor of h and 448.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/20 - (-16)\/90. Let m = 0.03111 + 0.26889. What is the closest to q in 0.4, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**8\/2520 - 32*w**7\/1575 - 361*w**6\/900 - 163*w**5\/45 - 115*w**4\/9 - 200*w**3\/9 - 68*w**2. Factor f(n).\nAnswer: -2*(n + 1)**2*(n + 10)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2 - 2) + (25 + -5 - 33) + 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482840903.\nAnswer: 31, 101, 154213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from fjfjzffmzj?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 - 3. Suppose -3*j - 21 = -u, 0 = j - d*u - 7 + 14. Let l = -3 - j. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 159809.5nm?\nAnswer: 159.8095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -175*c + 3. Let t(o) = -196*o + 4. What is 6*b(g) - 5*t(g)?\nAnswer: -70*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k - 2*k)*(2*k**3 - 3*k**3 + 0*k**3).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l**3 - 10*l**3 - 26*l**3.\nAnswer: -73*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 42*i - 73 + 38 to the form m + t*i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - 94*m - 20*m to h*m + u and give h.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-1\/2)\/v*v*v)**(2\/153)*(v\/(v**(-5)*v))\/(v*((v\/(v**25\/v))\/v*v)\/v) assuming v is positive.\nAnswer: v**(4289\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 145772569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -25\/4, -0.1, -62\/11, -8\/3, -4?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3494490 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119458\/31 - 3854. Let b = 114\/341 + j. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 635598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235971 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (410\/246)\/(12\/(-8))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.8. Let m = 22 + -21.1. Let v = 1.7 - m. What is the third smallest value in q, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3042.\nAnswer: 5\/3042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 190, 293 in descending order.\nAnswer: 293, 190, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 68*v**3 + 835*v**2 - 645*v - 107. Calculate y(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 9*p + 210 = 0. Let h be (-12)\/8*(-56)\/p. Solve -3*j + h*y - 5 = 5*y, 3*y = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-42)*33\/418?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2169 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 6*j + 7*j**3 - 8*j - j**2.\nAnswer: 7*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -130\/3?\nAnswer: -130\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 110*w - 11. Let r(u) = -37*u + 4. Suppose 220*z - 4*y + 32 = 216*z, 0 = -2*y. Give z*r(h) - 3*c(h).\nAnswer: -34*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 693?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/(-91) + -1 + -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**3 - 4*t**4 + t**2 - 7*t**3 + 3 - 15*t + 0*t**3 - 5 in the form c + b*t**2 + m*t**4 + n*t**3 + k*t and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 17 = -7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-72))\/(588\/(-27) - -26)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 53. Calculate the least common multiple of 19 and n.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16+494183045\nAnswer: 494183029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:14 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6132*-12224.\nAnswer: -74957568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - -71)\/((3 - 1)*1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 2 = -3*d + x, -4*d + 2*x = -58. Is (7\/d)\/(2\/56) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2889758 * 0.7\nAnswer: 2022830.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((3 - (2 + 3)) + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 0.9, 9, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64340756 to the power of 1\/2, to the nearest integer?\nAnswer: 8021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-32))\/((-89550)\/(-240)).\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3\/4 - 15895*o**2 - 1209925*o\/4 + 318375 = 0.\nAnswer: -20, 1, 12735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 + 6*k**2 + 23*k - 54. Let c(s) = -4*s**3 + 7*s**2 + 28*s - 54. Determine 5*c(r) - 6*v(r).\nAnswer: 4*r**3 - r**2 + 2*r + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 502471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 5, a: 4}. Give prob of picking 1 f and 1 a.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 300 - 298. Factor -5*p**2 - 189 + 50*p - 3*p**r + 109 + 3*p**2.\nAnswer: -5*(p - 8)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 f when four letters picked without replacement from xvvffvf?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*x + 1, 5*v + 2 = -2*x + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from riiiissisisisiirs.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let c(w) be the third derivative of -w**7\/840 + w**4\/12 + w**2. Let b(s) be the second derivative of c(s). What is i(b(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - -2*sqrt(288)) + -4 + sqrt(288))**2 + (4*(sqrt(288)*1 + sqrt(288) + sqrt(288)))**2.\nAnswer: -384*sqrt(2) + 46096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + 1 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454218 = -129*q + 4621563. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -43. Let j = 22 + v. Suppose -6*h + j + 336 = 0. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2062 or -2053?\nAnswer: -2062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*5 + (sqrt(336)\/sqrt(6))\/sqrt(8) - ((2 + (sqrt(112)*4 - sqrt(112)))**2 + 4).\nAnswer: -1016 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507518 is divided by 953?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2\/(-12))\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.031 - 0.309. Let n = g + -0.06. Let l be 4\/(-14) + (-24)\/(-35). Sort 4, l, n in ascending order.\nAnswer: n, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**2 - 22*i**2 - 2*i**2 - 30*i**3 - 21*i**2 wrt i?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*v - 4*v + 102, 3*v - 4*h = 86. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 11020022?\nAnswer: 11020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 87 + 138 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -16*v - 18. What is the biggest value in v, -1\/4, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4240.709 nanograms?\nAnswer: 0.000004240709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894959703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -83. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 6 + 6. Suppose 0*o = o + b*r - 84, -2*r = -5*o + 408. Let w(k) = k**2 - 4*k - 4. Calculate the remainder when o is divided by w(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(17) + sqrt(17))*-1 - sqrt(17))**2*3.\nAnswer: 72*sqrt(17) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -806, -750, -638, -470, -246, 34?\n\"Answer: 28*i**2 - 28*i - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let c be j(-3). Let a = -1 - c. Suppose -4*m = -5*r + 59, -2*r = -r + a*m - 9. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 8. Let w(s) = 3*s + 23. Let u(h) be the first derivative of 2*h**2 - 7*h + 4. Let c be u(7). Let o = 38 - c. Determine o*q(m) - 6*w(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 1 (b) 2.8 (c) -5 (d) -8\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 308, 711, 1194, 1757, 2400, 3123?\n\"Answer: 40*a**2 + 283*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + (2 + 1 - 5). Suppose -5*r + 4*b = -300, 2*r - 5*b - 68 = 35. Calculate the greatest common divisor of r and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -697995*a**3*n**3 - 3*a**3*n**2 + 1563*a**2*n - 2*a**2 - 2*n**2 wrt n.\nAnswer: -4187970*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -68*h + 3\/25*h**5 - 1\/15*h**4 + 0 + 1\/105*h**7 + 1\/15*h**6 - 7\/15*h**3 - 3\/5*h**2. Let n(t) = 0. What is t?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 3*p + p + p + 3 - 3 + (2 - 2 + 2*p)*(-4 + 4 - 1))*(8*p - 63 + 63) to u*p**2 + c*p + w and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 0, 4, 5, -21.\nAnswer: -21, -14, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 299, 469, 685, 971, 1351, 1849?\n\"Answer: 4*g**3 - g**2 + 145*g + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-1) - (-1664 - 17) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**7\/42 - m**6\/24 + m**5\/12 + 5*m**4\/24 - 24*m**2. Solve g(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 10*z - 3. Let r(u) = -u**2 - 3*u + 7. Let h = -9 + 3. Let b be r(h). What is the lowest common multiple of f(b) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -3*k**4\/4 + k**3\/3 - k + 1. Let w be t(-1). What is the second derivative of 0*g - 2*g**w - 2*g - 2*g wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 437*o**4\/12 + 13*o**3\/6 + 13*o**2\/2 + 6*o. Find the second derivative of u(n) wrt n.\nAnswer: 874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -798899, -1597804, -2396717, -3195638, -3994567, -4793504, -5592449?\n\"Answer: -4*c**2 - 798893*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118029429 by 9.\nAnswer: 13114381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110110 (base 2) to base 14.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 865*j - 82 + 946*j as k*j + d and give d.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 641944847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 4*d - 4. What is y(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -26. What are the prime factors of j + (28 - -4 - -4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**3 - 9*r**3 + 9*r**2 - 9*r**2.\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 2, m: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1932*n**2 + 2184*n + 1 wrt n.\nAnswer: 3864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - -2. Let y = u - -13. Suppose g - 3*g + 26 = 0. Calculate the remainder when y is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7888\/2040 - (14\/12 - 1))*-4 - -8.\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (742\/(-106))\/((-10)\/(-45) - (-115)\/(-45)). Suppose 2*t = -2*t + 16. Solve r*w - t = -16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from hrrhhhrahhah.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(88) + 2*-1*sqrt(88))\/(-3*sqrt(88)\/(sqrt(11) - sqrt(11)*3)*-6).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2470*c - 231 - 253 + 483 in the form j*c + v and give j.\nAnswer: -2470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(3\/13)*k*k)*k**(-5)*k*(k**(-13)\/k)\/(k\/(k\/k**(-2))) assuming k is positive.\nAnswer: k**(-224\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109.2 + -945.2. Let i = d + 836.0000088. What is i rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 5 + (-35)\/8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q + 5*c, 0 = -0*q + 5*q - 5*c - 5. Calculate the remainder when 30 is divided by (-3)\/(-5) - (42\/(-5))\/q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10361 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + 1 + sqrt(112) + 2 + -3)**2.\nAnswer: -16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 19*p + 37. Give l(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -170. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 + 3*q - 12. Let n(d) = 4*d**3 + 2*d - 11. Suppose u + 3*k + 18 = 0, 4 = 2*u - 3*k - 5. Let r(b) = u*n(b) + 2*v(b). Differentiate r(a) wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2155 != -42411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (6 - 1) - (4 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932703438.\nAnswer: 2, 3, 47, 3307459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(704) + -3) + (sqrt(704) - (sqrt(704) - (sqrt(704) + sqrt(704)*2 + 3))))**2.\nAnswer: -576*sqrt(11) + 3140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 576209222\/15045 + 0 + 2\/5. Let f = k - 38298. Calculate the common denominator of -7\/9 and f.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*p + 5. Suppose 4*j - 28 = p. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y. Let l(c) = c**2 - 1. Suppose -3 = -3*z, 0 = 3*b + 2*z - 8. Let o(p) = -p**2 - 1. Let d(m) = b*o(m) - 2*l(m). Give d(i(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**3 + 0*b**2 + (-2*b**2 + 0*b**2 + b**2)*(0*b + 3*b - b) - 2*b - 2*b**3 + 2*b + 4*b**3 + b**3 - 6*b**3)*(-6 + 0 + 1).\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 2*k + 370. Let u(c) = -54*c**2 - 60*c - 11100. Let r(o) = -90*j(o) - 3*u(o). Let n(q) = -q + q - q**2. Determine r(n(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -2\/55 (c) -2\/9 (d) -1\/6 (e) 0.2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 73 = y - 557, 933 = 2*y + c. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 17 - -4) + 5 + 0 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3*d + 10 - 4.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8264457099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*h = 275*h - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76848503 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -2, -0.4, 0.1, -8538232?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1829, -1830, -1831?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) 1\/7 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 54576 and 54576 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -176, -179?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) + 1 + -2 + -3 + sqrt(125) - (sqrt(30)\/(sqrt(6) + sqrt(24)\/sqrt(4)) + 1)))**2.\nAnswer: -11*sqrt(5) + 609\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123316009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/((-15)\/120). Let v be -2 + 748 + (-2 - w). Find the third derivative of -748 + v - 15*o**6 - 5*o**2 wrt o.\nAnswer: -1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/17? (a) -2\/55 (b) -135\/8 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from sssaaass?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -21*u**3 + 11*u - 11. Let y(s) = 4*s**3 - 2*s**2 + 4. Let x(q) = 8*q**3 - 5*q**2 + q + 9. Let k(f) = 2*x(f) - 5*y(f). Determine 22*k(w) - 4*v(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9482.985 nanometers in micrometers?\nAnswer: 9.482985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -19, -4 in descending order.\nAnswer: 5, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 8. Let l(a) = -16. Let j(t) = -3. Let s(z) = 11*j(z) - 2*l(z). Give -2*n(r) - 14*s(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 82794*o**2 - 1714621980*o + 37681621912.\nAnswer: -(o - 41386)**2*(o - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -634773*w**4 + 263407?\nAnswer: -2539092*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -196545798*o*q**2 + 99117*q**2 + 15*q + 11 wrt o?\nAnswer: -196545798*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.999776. Round x to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 9) in base 10?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*q**2 - 8*q**2 + q + 20*q**2)*(5*q**3 - 2*q**3 - q**3).\nAnswer: 64*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75 + 121 - 94*m**4 + 402*m**4 + 182 wrt m?\nAnswer: 1232*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 56.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + (-12195)\/165 - -14.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0455926 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 350767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (410*i**2 + 1449 - 1449)*(-3*i + 3*i + 6*i)*(-4*i - i - i) in the form c*i**2 + x*i**3 + y + h*i + l*i**4 and give l.\nAnswer: -14760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 1\/(1\/4101). Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1128448 by -4864.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from nwwnnnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmc when three letters picked without replacement from nomcooooccoocnnppc.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*r + 2*j, -2*r + 4*j - j = 5. Calculate the highest common divisor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 28*v - 68*v + 28*v. Suppose -s = -2*s - 1. Give r(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:40 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/18 and -9\/848.\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(14) - sqrt(56)*3 - sqrt(2016)*-1)\/((sqrt(96)\/(sqrt(16)\/sqrt(4)))\/(sqrt(84)\/(sqrt(28)\/sqrt(4)))).\nAnswer: -3 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**8\/1680 - d**4\/8 - d**3 + 2. Let h(f) be the third derivative of o(f). What is the derivative of h(x) wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57469.279 rounded to the nearest 100?\nAnswer: 57500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 + -3. Let q(v) = 5*v - 105. Let m be q(21). Let d = -3.7 - -0.7. Which is the nearest to r? (a) d (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**3 - n**2 - n - 1. Calculate the lowest common multiple of 3 and x(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 20*d = 0. Suppose -p = -d*p - 65. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 66571*u**2. Let l(s) = 3*s. Determine a(l(h)).\nAnswer: 599139*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*a + 42 = 0, 0 = 4*y + a - 24 - 10. Let k be 3\/8 + (-140)\/32 - -14. Suppose -k*w + 65 = -y*w. What is the highest common divisor of 26 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 5:05 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.5574103 to 1 decimal place.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -12 + 11 + (22 - (1 - -13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 763977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r - 4. Let n be o(6). Let m be -9*(-1)\/(n\/10). Let k be ((-12)\/8)\/((-27)\/12)*m. What is the greatest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:41 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-30) - (-5 + (-613)\/15). What is the greatest common factor of k and 2645?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*o + 5637, a - 5638 = -14*o + 15*o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**3 + 479*d**2 - 102*d - 344. Give n(-96).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 20. Let q = -2771\/13 - -213. Let v be 6\/(-14)*-1*1. Put v, q, r in descending order.\nAnswer: v, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5462659.\nAnswer: 5462659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 - 9*d + 35. Let h(w) = -5*w**2 - 8*w + 34. Let a(s) = 5*h(s) - 4*l(s). Let z be a(-8). What is the smallest value in -4, 1\/4, z, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**3\/3 + 5*c**2\/2 + 13*c - 11. What is the tens digit of h(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d + 7. Let k = 2061 - 2056. Determine t(k).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 69. Is s(8) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/100 + (-23)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (3 - 25 - (56 + -61)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/24 and 46\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 6 - 9 + d**3 + 3 in the form g*d**3 + z + f*d + j*d**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -18. Let q = l - -10. Let j = 14 + q. What is the remainder when j is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50c - -5?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 25 - 10) + (13 - 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 22*u + 2072. Calculate h(-38).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24085000 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 540957000 to the nearest one million.\nAnswer: 541000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from baaqxbbbb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 5*k**2 - k + 3. Let b be f(-3). Suppose 4*d - b = 36. Suppose 3*n = -0*n - d. Put 4\/3, 0.2, n in descending order.\nAnswer: 4\/3, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 774 divided by 2.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.187 and 54.\nAnswer: 52.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 4?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10206 - -10186. Let v(r) = -r - 1. Suppose -2*f = -4*f - 10. Let h(c) = c - 8. Let x(a) = 7. Let p(k) = 3*h(k) + 4*x(k). Determine f*p(i) + l*v(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1747410333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6053107 take away -5851.789?\nAnswer: 6058958.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 less than 0.861?\nAnswer: -1351.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 6585767.\nAnswer: 4610036.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110100 (base 2) in base 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**5 - 4*o**5 + 0*o**5)*(7 + 6 + 1).\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {h: 3, d: 1, l: 1, n: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -39 + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(14\/8 - -2)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -5. What is the hundreds digit of (y\/2)\/(23\/(-2553))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2880520 and 2880520.\nAnswer: 2880520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -25*w**2 - 16*w + 0*w**3 - 19*w**5 - 14*w**3 - 5*w**3 + 18*w**5 - 4 - 7*w**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -664, -2984, -6954, -12574, -19844, -28764, -39334?\n\"Answer: -825*f**2 + 155*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(sqrt(684) + sqrt(684) + -2) + (6*(sqrt(684) + 2 - sqrt(684)) - sqrt(684))**2)*-5 + -4.\nAnswer: -4127 + 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1317, 1321, 1325?\n\"Answer: 4*c + 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 - 2730*p**4 - 930246*p**3 + 932978*p**2 = 0.\nAnswer: -683, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 4. Let b be w(-4). Suppose 2*c + b*c - 16 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + 0.34. Let f = -0.18 + q. Let a = -0.04 + f. Is a smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19749757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 43 + 3. What is the lowest common multiple of 36 and d?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432060 by -4.\nAnswer: -108015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 34*i**3 - i**2 + i + 1. Let x be h(1). Let s be (-86)\/30 + 7\/x - -2. Let n = -1.8 + -0.2. Which is the closest to s? (a) 0.6 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355 (base 7) to base 14\nAnswer: d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bccbcbbbccbcc?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 3*c + 5. Let x = 3 + c. Suppose 0 = -2*o - 5*v + 430, 4*o = x*v - 116 + 920. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -9*v**6\/70 - 39*v**5\/35 - 7*v**4\/8 - 2*v**3\/7 - 5*v**2 + 61. Find g such that b(g) = 0.\nAnswer: -4, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 7, c: 3, f: 2}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 4*a**2 - 5*a**2)*(a - 3*a + 0*a) + (20 + 6*a - 20)*(-1 - 2*a**2 + 1).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s - 10. Let h be v(-7). Suppose 0 = -m + 124 + h. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/29, -2, 1, -12\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w**4 - 3*w**4 - 30*w**5 + 2*w**3 + 4*w**3.\nAnswer: -3*w**3*(2*w + 1)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243702 is divided by 645?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 20\/7*b + 4\/7*b**2 = 0 for b.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**7\/126 - 2*f**6\/15 - 41*f**5\/12 - 85*f**4\/9 + 34*f**3\/3 + 176*f**2\/3 - 48*f + 8. Determine k so that o(k) = 0.\nAnswer: -8, -2, -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 9:38 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*r - 6 = 0, 4*z - 8 = 5*r - 0. Suppose z*k = -3*g - 0*k - 43, -48 = 3*g - 3*k. Let u be (36\/(-225))\/(3\/g). Is u less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25028, 24566, 23804, 22748, 21404, 19778, 17876?\nAnswer: 15704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o + 1. Let h(w) = 2*w**2 + 2. Suppose -2*y = 2*y + 3*k + 3, 0 = -2*y - 2*k. Calculate the smallest common multiple of h(y) and x(1).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/28 and -125\/74213048.\nAnswer: 74213048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/(-104))\/((-4)\/8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.003 in 2, 0.4, 73, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2 and 85\/4208664.\nAnswer: 4208664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 60265*d - 60265*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/170729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12896 and 160?\nAnswer: 64480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(3 + (-38)\/10). Factor -3\/2*x**r + 0 + 0*x - 1\/2*x**2 - 2*x**3.\nAnswer: -x**2*(x + 1)*(3*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 82. Which is the nearest to -0.2? (a) l (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28785 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(3\/8)*t)\/t)**(-1\/2)\/(t**(21\/5)\/((t*t**(-2\/21))\/t)))**(-23) assuming t is positive.\nAnswer: t**(173213\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -193235\/4 (b) 1 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2336554, -4673213, -7009872, -9346531, -11683190, -14019849?\n\"Answer: -2336659*i + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 45 = -5*x + t, -4*x + 2*t + 38 = 0. Let h(a) = a**3 - 7*a**2 - a + 9. Let g be h(x). Is 2\/3 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*c**3 - 245\/6 - 95\/2*c**2 + 175*c.\nAnswer: 5*(c - 7)**2*(4*c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 879 - 878. What is the nearest to l in -2\/7, -0.3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h + 1804 = -37*h + 232*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3534 and 69171354.\nAnswer: 1314255726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1386*r + 4716. Give u(-2).\nAnswer: 1944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 less than 0.6043?\nAnswer: -0.5957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4825 is divided by 157.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 a when three letters picked without replacement from aekkevvkaeavqaaavea?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - 8\/(-20)*-5. What are the prime factors of 174\/21 + 2\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3255905483.\nAnswer: 197, 16527439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*t + 28 + 29 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5 + -9 + -3 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.129957222 to five dps.\nAnswer: -2.12996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (115*p**2 - 12*p**3 - 64*p**2 - 56*p**2)*(-10 + 23 + 12) to z*p + y + a*p**3 + t*p**2 and give a.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-94)\/30 + -2*(-1)\/15. Let i be 2\/30*-2 - (-154)\/30. Suppose -50 + 35 = 3*k. Put 1, a, k, i in decreasing order.\nAnswer: i, 1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2009 - 42*p**3 + 13*p**3 - 225 + 15*p**3 + 13*p**3 to w*p + j*p**2 + x + d*p**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*q**3*r**2 + 41*q**3 + 2*r**4 wrt r.\nAnswer: -164*q**3*r + 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 536589029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -0.1, -209, 3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489070, -490589, -492106, -493621, -495134, -496645, -498154?\nAnswer: -499661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + -5. Let t be x\/8 - 3\/(-2). Let s = 6.4 - 6. Which is the nearest to -2\/7? (a) t (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3 - 354662*a**2 - 21272520*a = 0.\nAnswer: -177271, -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 46*h**5 - 2*h**4 + 4*h**3 + 239*h**2. Let c(r) = -r**5 - r**4 + r**3. Let m(b) = 4*c(b) - f(b). What is the third derivative of m(n) wrt n?\nAnswer: -3000*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91953216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(2 + 2 - 3)*(0*m + 0*m - m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 17. What is h(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/2? (a) 3 (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 19*s - 29. Let p be 18\/(-12)*(0 - 2) - 20. Let v be w(p). Solve o - 2 = 2*y - 3, 0 = -5*o + v*y + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -581*f - 12310. Let w be k(-46). What is w rounded to the nearest one hundred?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1032458 or 1032397?\nAnswer: 1032397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 248 and 22?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/90*((-18)\/(-15))\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-421)\/421)\/(2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33189*g**2 - 66384*g**2 + 33314*g**2 + 2*g.\nAnswer: 119*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 4, -145, -2, -3, -9, 0 in descending order.\nAnswer: 4, 0, -2, -3, -9, -113, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpvawp. What is prob of sequence vvp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1, 3, 230 in decreasing order.\nAnswer: 230, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11973431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = p. Suppose 3*u - p = 7. Let c be 11\/(-2) - u\/6. Which is greater: c or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102720.999897942 - 102721. Round y to 6 decimal places.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 14*d**2 + 33*d + 88. Let b be q(-16). What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-9)*(3 + 0). Calculate the smallest common multiple of n\/(-3 - 35\/(-11)) and (-69)\/(-23) - 2\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29.1 or -9.452?\nAnswer: -9.452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -142*i**2. Let q(k) = 3*k. Give q(u(s)).\nAnswer: -426*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -630476*y + 885333?\nAnswer: -630476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 5*z - 42, 3*z = t - 163 + 141 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 38693672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10857? (a) 5 (b) -0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99) - sqrt(99)*2 - sqrt(99)))\/(1*sqrt(324)) + (2*sqrt(352))\/(sqrt(18)\/sqrt(144) - sqrt(2)) + 5.\nAnswer: -12*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1 + 1 + -1. Suppose -n - 33 = -5*u, -2*u - u - 5*n + 31 = c. Let g = u - -1. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -975 in -2, -5, 0.5, -60\/7?\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5380, 5375, 5370?\n\"Answer: -5*j + 5385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7622564\/170415 - 2\/2705. Let f = l - -364\/9. Find the common denominator of f and -2\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38903 is divided by 3883?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2. Let d(j) = -36 + 10 + 26 - j. Calculate d(t(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0.3. Let t = 0 - 0. Sort f, t, -3 in descending order.\nAnswer: f, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35145475 divided by 6.\nAnswer: -35145475\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - t + 1. Let o be i(1). Let r = 137 - 131.8. Let p = r + -4.9. Which is the closest to p? (a) -1 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154389058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-12 - (9 + -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + q + 1 + (-5*q + 0*q + 4*q)*(-1 + 6 - 3) - 7*q + 3*q + 6*q + 125*q - 20*q - 33*q to the form p + n*q and give n.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 1?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.519803 meters to nanometers.\nAnswer: 5519803000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*f**2*h + f*h - 4*f*m**2 - 580*h*m**2 with respect to f.\nAnswer: 36*f*h + h - 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -717 + 845. Calculate the remainder when a is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:36 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -20129254.7 to the nearest 100000.\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 5*y**2 + 6*y - 9. Let x be o(6). Let u be 2*-1 - (-1 - x). Let z = -7 - u. Solve 13 = -j + z*f, -5*f = 4*j + 1 - 34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.92 + -0.08. Let r = j - -11. Let z = 98\/5 - 20. Which is the closest to z? (a) r (b) -2\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16913 - 8355. What are the prime factors of u?\nAnswer: 2, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2754377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -235 + 348. Suppose -2*d = -4*v, v + 4*d - 6 - 3 = 0. Calculate the remainder when x is divided by (-875)\/(-30) - v\/(1*6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881848 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3304600 to the power of 1\/2, to the nearest integer?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 94509.59 centuries?\nAnswer: 113411508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.031\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b + -4?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1674, -2004, -2334, -2664?\n\"Answer: -330*c - 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 6:05 AM?\nAnswer: 594","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uemuw. Give prob of sequence uwu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 11 = -4*g, -2*g + 3*g - 2*k = 4. Suppose -3*h = g*h - 5*z - 140, 3*z = 5*h - 150. What is the lowest common multiple of 3 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 smaller than 346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 98 = 429*c - 427*c, -4*c - 168 = -5*u. Solve -194*v = -199*v, -4*m - v = u for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikf when three letters picked without replacement from itfkpdkfpptddpt.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5 - -3) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 514693.899 to the nearest 10000.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81897091?\nAnswer: 81897091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1513 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 79. Let h = -1 - -3. Suppose z*n - s - 9 = 0, -s + h = s. Let f(l) = -2*l. Let o(m) = -m**2 + 4*m - 1. Give n*f(c) + 2*o(c).\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1007 - 80*q**2 + 1007)*(1 - 11 + 3).\nAnswer: 560*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 7. Suppose 9 = -3*w, 2*t - 4*w = -w + 83. Suppose 49 = 2*n + t. What is r(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -387 + 392. What is the smallest common multiple of n and 422?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 9:58 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = -58*r + 414 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11799, -11728, -11589, -11364, -11035, -10584, -9993?\nAnswer: -9244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2225 is divided by 147?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 688*l**4 - 18480*l**3.\nAnswer: -l**3*(l + 28)*(l + 660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1098464 divided by -137308\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20643*b - 20816*b + 1384 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 + o**2 - 19*o + 17*o - 4*o**2 + 2*o**2 + 2 in the form g + k*o**3 + i*o**2 + b*o**4 + m*o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16.42 (b) -2 (c) 86 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24775.1397 rounded to the nearest 10?\nAnswer: -24780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77846257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*-1 + 182\/(-56). Do 0.2 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0*a**2 + 0*a**2)*(36*a + 7*a + 10*a).\nAnswer: -53*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32790855 by -183.\nAnswer: -179185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**2 - 2 + h - 1\/3*h**3. Let o(k) = 3*k**2 - 3. What is -2*g(z) - o(z)?\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + 1 + (2 + sqrt(9)\/sqrt(3) + 0 - (((1*sqrt(12))**2 - sqrt(12)) + sqrt(3) + sqrt(3) - ((1 + sqrt(3))**2 + 5))) + 3.\nAnswer: -3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {p: 3, a: 8, r: 2, h: 7}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -473, -1, 3 in increasing order.\nAnswer: -473, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:12 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2169 + 5489 = 166*g for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/6*(-10)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 38. Let d be 24\/16*16\/6. Let w = d - q. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 divided by -6?\nAnswer: -173\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = 3*n + 48 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 172. Let g be d(-41). Solve -g = 10*y + 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136547023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(85)\/sqrt(5))*5 + 2*(sqrt(17) + sqrt(17) + (sqrt(136)\/(-1*sqrt(8)) - sqrt(17))**2).\nAnswer: 9*sqrt(17) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.036 + 0.064. Let o = 34.1 - 34. Which is the nearest to o? (a) 0.3 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715441743.\nAnswer: 3, 79493527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*f - 5*f. Suppose 0*o + 4*n = -5*o + 19, 4*n = -f*o + 16. Suppose -4*t + 2*k = -568, 5*t + o*k - 723 = -k. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 4*k - 8. Let o(m) = -2*m**2 + 3*m - 9. Let q(s) = 3*i(s) - 4*o(s). What is the remainder when 22 is divided by q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143482 + 7819.\nAnswer: -135663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1043*t - 14787 = 1520*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((sqrt(500) - sqrt(500)*-2) + 4)*1*-1 - (-5 + sqrt(500) + 0 + 0)*6))**2.\nAnswer: -4500*sqrt(5) + 41125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 550115 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.2 - 50.6. Let j = 7.3 - -2.9. Let w = -10 + j. Which is the third smallest value? (a) w (b) r (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 16*l**2 + 27*l + 6. Give z(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y**(-42)*((y**(-4\/3)*y)\/y)**31)**11 assuming y is positive.\nAnswer: y**(-10967\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045410185.\nAnswer: 5, 2383, 87739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:55 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332 and 1909?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209 * -0.4.\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*j - 160 + 15, 4*j = -3*t + 94. Let m = -24 + t. Sort -3, 2, m in decreasing order.\nAnswer: m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*h = 0, 4*w + 5*h - h = 0. Suppose w = -r - q + 322, -5*r - 6*q + 5*q = -1614. What is the greatest common divisor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(1 - (-6)\/(-4)). Let i be (d + -7)*2\/(-3). Suppose 0 = -y - i*y + 132. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 1:28 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2100))\/(sqrt(15)\/(sqrt(10)\/sqrt(2))) + 0.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x**2 - 5*x - 5. Let l(w) = 49*w**2 + 21*w + 21. Let b(v) = -21*i(v) - 5*l(v). Give b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 7*f**4\/12 - 5*f**3\/6 - 33*f**2. What is the derivative of z(j) wrt j?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/932 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1324 - 1276. What is the least common multiple of n and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1098, 1100, 1102, 1104, 1106?\n\"Answer: 2*p + 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.53566 rounded to 0 decimal places?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a05 (base 11) in base 15?\nAnswer: -5d34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -844.4 + 732. Round a to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 7*o**2 - 6*o. Suppose -8*b - 6 = -9*b. Let x be r(b). Let a(z) = -z**3 - 8 - 5*z**2 + 10 + 6*z + x*z + 3*z**2. What is a(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -0.104, 2\/2961, 2\/9 in ascending order.\nAnswer: -0.5, -0.104, 2\/2961, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -50. Suppose h*b - 954 = -30. Does 33 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -75. Let o(t) = -t**2 + t + 1. Let d(q) = q + 2. Let v(s) = d(s) - 2*o(s). Calculate the smallest common multiple of u and v(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -1\/7, -9, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 27837?\nAnswer: -27837.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 15 = -8120*a + 8115*a, 4*a = 5*c + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2990 - -9451. Let d = h + -1698. Let y = 28699\/6 - d. Calculate the common denominator of 145\/12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*k + 4*t, 2*t - 48 = -3*k - t. Suppose 0 = -3*w + 4 + k. Let g be (-40)\/6*6\/(-4). Solve -5*z = -c - w, z - g = 5*z + 2*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - -41?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/128 and -69\/64?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - b - 223 = 0, 6*v + 135 = 3*v - b. Let r = -19 - v. Suppose -5*p + r = -40. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 24. Let s be 2\/(-5) + d + (-34)\/(-10). Solve s*k - 6 = 2*t + 2*k, 0 = -2*t + 5*k - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631666789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 10*p + 11 + 4*p - 5*p**2 + p**3. Let j be t(6). Let n = j + -34. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - y + 35 = -2*o, 5*y = 4*o - 131. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -855, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/54*(-4)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, 0.5, -2\/173, -3, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 - 7*r - 2. Let c be t(-6). Suppose -5*v - 25 = c*y, 8 + 12 = 5*y - 4*v. Let p = -19 + 34. Solve -p = -5*s - y*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63801828 to the power of 1\/2, to the nearest integer?\nAnswer: 7988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 14*m**2 + 27*m - 25. Give p(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -2.1. Let h = 5 - 5.2. Let d = h - -0.4. What is the nearest to j in d, -3\/4, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/2 + 75*j**2\/2 - 1683*j\/2 + 9801\/2 = 0 for j.\nAnswer: 9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 165262035?\nAnswer: 165262036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21696, -43279, -64752, -86115, -107368?\n\"Answer: 55*g**2 - 21748*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -311*y - 1. Let i be l(0). Let m(u) = 4*u**2 - 4*u - 3. Let w(o) = 4*o**2 - 3*o - 2. Let f(b) = 2*m(b) - 3*w(b). Determine f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b032a + 3?\nAnswer: -9b0327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:00 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -952536964 + 0.32?\nAnswer: -952536963.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13\/((-65)\/45))\/(-3). Solve 12*h = s*m + 8*h + 20, -25 = m - 5*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67b + 3d56c?\nAnswer: 3dc09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 10*d**2 - d - 7. Let w be a(-10). Suppose j - 2 = w*j. What are the prime factors of 1*4*(3 + j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23281?\nAnswer: 31, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1832877783\/39866309 + -2\/972349. Let k = y - -46. Put -2, k, -0.3 in decreasing order.\nAnswer: k, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/28 and 111\/5138686.\nAnswer: 10277372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2123530014 + 0?\nAnswer: 2123530014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6*w + 15. Suppose 0 = -4*r - q - 17, 0*r - q - w = r. Let z(x) = 3*x**2 + x + 6. List the prime factors of z(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evbevb. What is prob of sequence be?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a day?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72324 - -14?\nAnswer: 72338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5052057474.\nAnswer: 2, 3, 41, 149, 137831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5293*p**3 + 1 - 5306*p**3 - 1.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*1)\/sqrt(6))\/(6*((sqrt(32) - sqrt(2)) + sqrt(2))).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11013, -22008, -32981, -43926, -54837, -65708, -76533?\n\"Answer: r**3 + 5*r**2 - 11017*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/13 - 1*(-9 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/20 + 15\/25. What is the nearest to -0.1 in -2\/7, 1\/2, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -164*i + 174*i - i**4 + 3*i**4 - i**2 + i**2 - 3*i**4 - 4 - 2*i**4 + 4 + (4 - 4 - 2*i**2)*(1 + 2*i**2 - 1).\nAnswer: -7*i**4 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/7 + 1084*x**2\/7 = 0. What is x?\nAnswer: -542, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -202bc - 14?\nAnswer: -202d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6942335 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/16 and 127\/1236.\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*v - 32 = 0, 2*v - 2 = 2*x - 18. Suppose -x*n - 189 = -1781. What are the prime factors of n?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)*(-2 + 1). Suppose 0 = -5*r - 12 - 18. Let q be 780\/r*d*10000. What is q rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-43 + 46) - -32.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 4*a**2 + 5*a + 3. Let s be t(-3). Let b = -17993 + 17981. Calculate the common denominator of -67\/24 and (b - -10)*(-13)\/s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947955 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 4 + 3 - 4. Let a = -58 - -58. What is q(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*s - 31 = 4, 4*s + 7 = z. Solve 0 = 4*o - y - 12, 12 = z*o - 3*o + 3*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 1 + 10 - 2 + 0. Let l be h(-3). Let t be 19\/1 - l - 0. Calculate the highest common factor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4 + 4722*c**3 - 84705*c**2 + 155248*c - 75264 = 0?\nAnswer: 1, 16, 4704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1150502 (base 7) to base 11.\nAnswer: a0251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 2\/(-2) + -2*1. Solve -5*z + g = -n - 1, 5*n = z + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2470 and 627120?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 1012 + 494 + 459 + p + 7*p to h*p + q and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a + 272 - 256 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1245888*a**4*d + 3*a**3*d + 3*a**2*d + 2*a**2 - 6*a*d + 145*d + 1 wrt a.\nAnswer: -29901312*a*d + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76517 and 163965?\nAnswer: 1147755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 890960 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 268600 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32795 - -32796. What is the nearest to 0.06 in -13, 0.5, d, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3212 + 12231223?\nAnswer: 12301101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 96*z + 6*z**2 - 5*z**3 - 116*z)*(4 - 4 - 12*z).\nAnswer: 60*z**4 - 24*z**3 + 240*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15549966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*c + 4*m, c - 3*c + 54 = 2*m. What is the highest common divisor of c and 2835?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 - 0.24. Let u = -1.18 + o. Round u to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54120 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1915604?\nAnswer: 1915605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*o - 88, -46 = o + 3*p + 2*p. Let v be ((-7)\/o + 61\/(-12))*-4. Which is the third biggest value? (a) 3 (b) v (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*f**3 - 3\/2*f**2 + 0 + 3\/4*f**4 + 0*f.\nAnswer: 3*f**2*(f - 2)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.8. Let z = 0.3 + -0.3. Let n = z + -3. Sort n, u, -4 in descending order.\nAnswer: u, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 23 = 3*c + 24, 20 = -4*c + 2*y. Sort 2, -1, c in decreasing order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.33683 months to years.\nAnswer: 8.1114025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 62) + -17 + 13. Let z = 117 + f. Let k be (-5)\/(-30)*z*2. What is the highest common factor of 119 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685303 a multiple of 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2263, 2365, 2457, 2533, 2587, 2613, 2605?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*o**2 - 380*o**3 + 450*o**2 + 3135*o**3.\nAnswer: 2755*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599008343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 332847 - -3?\nAnswer: 33284a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 3*b**2 - b + 5. Let k be 3\/((-9)\/1)*-12. Let t be k - (-6 + 1)\/(-5). Let v be x(t). Solve 0 = v*g + 5*z - 20, -4*z + 16 = -4*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**2 + 26*p + 60. What is i(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/3)\/f*f**(-1\/17) assuming f is positive.\nAnswer: f**(-71\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256361 or 1?\nAnswer: -256361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -14*u + 228. Let l(b) be the first derivative of 0*b + 3\/5*b**3 + 0*b**2 + 1\/25*b**5 - u + 3\/10*b**4. Determine o, given that l(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 3 (c) -4 (d) 10708 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84947327513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33551 (base 6) to base 13\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -83.39?\nAnswer: -3.3356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, b: 11, u: 3}. What is prob of picking 3 s?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -231, -517, -919, -1437, -2071?\nAnswer: -2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + u + 9 - 5 = 0, -u = -2*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 160536 - -2?\nAnswer: 160538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/625 or -1?\nAnswer: -8\/625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1966\/5 < -393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*(sqrt(250) + (-1*(sqrt(250)*-1 + sqrt(250)) - sqrt(250))))\/((sqrt(22) + sqrt(22) + (sqrt(154)*-3)\/sqrt(7))\/(sqrt(88)\/(sqrt(16)\/sqrt(2)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -5*v - 0*v. Let u be v\/6 - 1*-2. Which is the closest to -0.1? (a) -3\/7 (b) u (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5 + 1. Let m(c) = c**3 + 17*c**2 - 19*c - 18. Let n be m(-18). Suppose k*v = -d + 8 - 0, -v + 3 = n. Solve -h - 6 = d*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.002.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1904274038*h**2 + 3808548074*h**2 - 1904274039*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 59.18. Let f = -0.97 + j. Round f to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 4.3274.\nAnswer: -9.6726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -4)\/(-2 - 0). Let t = -3055 - -3070.09. Let p = t - 0.09. What is the smallest value in p, r, 3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102937, 102936, 102935, 102934, 102933?\n\"Answer: -n + 102938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -26567\/523?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21 - 3)\/(-6) + 4\/2. Let g = 3 + 2. Is g <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 951*r**2 - 34*r - 57. What is the units digit of h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 4*o**2 + 2*o**4)*(2*o + 23 - 23)*(-4 + 6 + 7).\nAnswer: 36*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + 1 + (-5 - 8) - 28?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i - 0*i. Suppose -4*f - 5*b + 18 = 0, 0*b = -5*f + i*b. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-45)*(-3)\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.185143us?\nAnswer: 2185.143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/96 and 67\/162.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + t + 44. Let m be h(7). Solve -4 = -5*u - m*c - 0, -2*c = 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2430 and 140060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8617*w**2 - 8669*w**2 - 4 - w**2 - 2*w + 2*w + (3 + 0 - 2)*(-2*w + 2*w**2 + 2*w) to the form y*w**2 + t + b*w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 95242346*l\/7 + 95242344\/7.\nAnswer: 2*(l - 47621172)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 5 - 5)*(-2 + 1 + 5)*(p**2 + p + 0 + 0).\nAnswer: 8*p**3 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**17*u\/((u*u**3)\/u)*u\/u**(-2) assuming u is positive.\nAnswer: u**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4462870 a multiple of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29602 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6*g**2 + 2*g - 28*g**2 + 2*g**3 - 2*g**2 + 43*g**2 in the form m*g**2 + z + q*g + d*g**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-1 - 2*p + 1) + 1164 - 779*p - 1164 + 7942*p.\nAnswer: 7165*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 22465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168791 is divided by 168689.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 454 in 0.1, 0.3, -5, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-12) - (-2)\/6. Suppose 0 = -h - 2*k - 122, 123 = -h + z*k - 5*k. Round h to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12365 divided by -5\nAnswer: -2473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q - 19 = 0. Let p = q + -17. Suppose 0 = -d - 3, 0 = -4*y - 2*d - p*d + 212. Calculate the greatest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10 and 103\/86406.\nAnswer: 432030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33333 (base 6) to base 9.\nAnswer: -6353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 2\/3, 3, 1\/5, -12\/5765 in ascending order.\nAnswer: -12\/5765, 1\/11, 1\/5, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*-1*-1*(-4*sqrt(720) + -3)*3*-2)**2.\nAnswer: 3359232*sqrt(5) + 134474256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 + 3*m - 7. What is z(5)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1980*l + 121. Let w(h) = -25*h + 13 - 2 - 6 - 7 - 8*h. Determine 2*k(t) + 121*w(t).\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 6*k - 2*k + 25, 0 = -4*t - 20. Solve k*w + 2 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11331 + 3?\nAnswer: -11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 916949 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -3 (c) 2\/93625 (d) -1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 8*h = 17*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:32 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 15 - (13 - -10 - 13).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 70. Let f(t) be the second derivative of 0*t**5 - 1\/12*t**4 + 0*t**3 + 3*t + 0*t**2 + y - 1\/10*t**6. Find the third derivative of f(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120*q**4 - 5*q + 1 wrt q.\nAnswer: 1440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**3 + 34*v**2 + 7*v - 1. Let p be z(8). Let t = p - 178. Solve -5 = -5*m, 3*s - 4*m - t + 15 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -443820 - 5?\nAnswer: -443825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12942.9 rounded to the nearest one hundred?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**7\/1680 + f**6\/360 + f**5\/60 - f**4\/6 - 3*f**3 + 20*f**2. Let u(h) be the first derivative of s(h). Factor u(x).\nAnswer: -(x - 2)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-28))\/((-1)\/16). Suppose -69*d - 659 = -245. Let c be 12 + -5 - (d + 15). Is c <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6733, 13501, 20269, 27037, 33805, 40573?\n\"Answer: 6768*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9279 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: Calculate 67 divided by 134.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*g - 2. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98842 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/2)*f\/(f**(-5\/3)\/f)*((f**(-6\/11)\/f*f)\/f)\/f**(-12) assuming f is positive.\nAnswer: f**(767\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 18*r - 225 = 14*r. Solve c + 1 = 0, 0 = u - 4*u + 3*c + r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*b - 7, -41*l = -4*b - 46*l + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21032323 + -3?\nAnswer: -21032332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 63121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/154236165?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -863, -3416, -7677, -13652, -21347?\n\"Answer: -r**3 - 848*r**2 - 2*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4134035 (base 6) to base 4.\nAnswer: -300220013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = -6. Let s be (20\/(-16))\/(f\/8). Are 5 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3544?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + -5 - sqrt(171)*5.\nAnswer: -4*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13769*29\nAnswer: 399301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 665540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4618\/15 - -216521\/705. Which is greater: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5366269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -4.2, 0.08, 9, 0.065, 0.2, 1\/4?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 200968402*b\/3 + 10097074650608401\/3.\nAnswer: (b - 100484201)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43946.8 from -7.44.\nAnswer: 43939.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/150 - 2*j**4\/15 + 14*j**2 - 18*j. Let h(b) be the first derivative of z(b). Factor h(a).\nAnswer: 2*a*(a - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 75, -4, -1 in descending order.\nAnswer: 75, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3165*a**4 + 7221*a**4 + 195*a**4 + (0*a + 0*a - a**3)*(4*a - 1 + 1) to the form k + p*a**2 + c*a**4 + z*a**3 + h*a and give c.\nAnswer: 4247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 34. Calculate the greatest common divisor of 328 and w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 2*h - 24, 12 = 2*h - m. Let c be -1 + h + (-30)\/(-6) + -5. Let w(n) = 24*n**2 - 7*n - 1. Is w(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 38. Let m(h) = -19*h**2 + 11*h - 11. Let w(p) = 5*p**2 - 3*p + 3. Calculate o*m(v) + 22*w(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 139.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14327, 28197, 41607, 54563, 67071, 79137?\n\"Answer: s**3 - 236*s**2 + 14571*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 149, 7, 0, 94 in increasing order.\nAnswer: -9, 0, 7, 94, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 552 - 305. Let s = k + -243. Let o = 0 - 0.2. Sort o, s, -5 in descending order.\nAnswer: s, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*(21275\/(-69))\/37?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 10, -2, 137?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9340708 decades?\nAnswer: 0.009340708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a = 54*a - 276. Is a bigger than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {l: 1, h: 3, q: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/50 and 39\/245?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k. Suppose -3*s + 0 - 6 = k. Put s, -1, 2 in ascending order.\nAnswer: s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317771?\nAnswer: 317771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 403 - 536 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12211, -2, -325, -5, 0.\nAnswer: -12211, -325, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61222 is divided by 8417.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1208123963 and 1073?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + t - 18, -5*d - 2*t - 16 = 25. Let n(o) = 2*o**2 - 7*o - 7. Let p(w) = w**2 - 4*w - 4. Determine d*p(z) + 4*n(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -248163 + -1?\nAnswer: -248164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -115. Sort n, -1\/8, 5 in decreasing order.\nAnswer: 5, -1\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -33) + -1 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -126, -123, -120, -117?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 4*j**2 - 4*j - 5. Let a = -6 + 11. Let c be f(a). Suppose -y + 13 - 1 = c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opppsopppopsppp. What is prob of picking 1 s and 1 p?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -16.5. Let t be ((-1)\/(-15))\/((-6)\/(-20)). Which is the second smallest value? (a) h (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 times 1.2\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-4 - 8) + (9 - 2) - -12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let p(c) = 79942*c**2. Calculate p(z(t)).\nAnswer: 319768*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.06, -1, -2, 586, -0.24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 6 + 7*a + 13*a - 29. Is 7 a factor of z(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11618*x**3 - 1175*x**3 + 12796*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/697, -306, -0.5, 3\/4, -0.2 in descending order.\nAnswer: 3\/4, -4\/697, -0.2, -0.5, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeleeeeeeeeeeeeeeel. Give prob of sequence ee.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*o - 14, -20 - 14 = -5*z + 3*o. Solve -r + 12 = -4*q, -4*r = z*q + 8 + 7 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16\/5, -1\/7, 2\/5, -0.21?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 + 161 = 49*v - 359 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10010 by 2.\nAnswer: 5005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - y + 153 - 105 = 0, 33 = 3*p + 2*y for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 30 - 13 - 2*p + 97.\nAnswer: -2*p + 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-102)\/14 + (-4)\/(-14). Let p(i) = -i**3 + i**2 + 2*i - 18. Let v(q) = -7*q**3 - q**2 + 12*q - 115. Let l(u) = 6*p(u) - v(u). Calculate l(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 211 in -1\/2, 286, -4\/3?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14.5. Let q = 417 - 418. Which is the closest to q? (a) 0.4 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -195.\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -55, -0.01, -1\/3, 4\/3.\nAnswer: -55, -0.6, -1\/3, -0.01, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -19*p**3 - 9*p**2 + p - 24. Let j be m(-8). Suppose -7*g - j = -22*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3537108 to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 634*n**3 + 2*n**2 - 464. Let t(y) = -17120*y**3 - 55*y**2 + 12530. Let i(d) = -55*p(d) - 2*t(d). Find the first derivative of i(q) wrt q.\nAnswer: -1890*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2240 - -2254. What is the lowest common multiple of o and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 18 in descending order.\nAnswer: 18, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 - -270 - 86 - (0 + 0 + -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.19, -3\/4, -1, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-75)\/20 - (-6)\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4*((-30)\/160)\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22.7, -1, -982, -3.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 12*r**3 + 204*r**2 - r + 23. Determine h(-17).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*q + 4*q + 3*r, -3*r = 3*q + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/3 - 4*o**4\/3 - o**3\/3 + 10*o**2\/3 + 4*o\/3 - 8\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*c - 2*i - 355, -c - 4*i - 49 = 0. Let b = -41 - c. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 + 3*u**3 - 70 + 18*u**2 + 23*u**2 as f*u**2 + s*u**3 + h*u + o and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -28401*u**2 + 5*u. Suppose -2*m + w + 4 = 0, w + 10 = 4*m - 0*w. Let r = m + 2. Let b be n(r). Round b to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243713716 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 11*k**2\/2 + 8*k + 16. Let u = 6 + -1. Let f be d(u). What is the greatest common factor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 + 20800*r\/7 + 54080000\/7.\nAnswer: 2*(r + 5200)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - sqrt(17)) + 3 + 5)**2.\nAnswer: 64*sqrt(17) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232 and 116?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 536*a.\nAnswer: 2*a*(a + 268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75201 and 333?\nAnswer: 8347311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77419747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*o = -15, o = -2*l + 46 + 11. Let t be ((-1105)\/l)\/13*-6. Solve 4*i + t + 1 = 2*w, 0 = -4*w - 3*i - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.4, -4, -2\/17, -0.379?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40620622, -40620625, -40620630, -40620637, -40620646, -40620657?\n\"Answer: -b**2 - 40620621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/10 - (-2)\/1)*4. Suppose 0 = -6*l + 2*l. Is g < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {k: 4, d: 3, u: 4, l: 1, m: 2, i: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 101. Let a(t) = -t**3 - 18*t**2 + 9*t + 91. What is the units digit of a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9249111g in nanograms?\nAnswer: 924911100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 304\/9 + 2\/9. Suppose -y = 2*n - 5*n + 2*q, -4*n + 44 = -4*q. Let u be 4\/8*(1 - -23). Calculate the greatest common divisor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9647 + 9650. Solve 2*l + 2*x - 5 = -3*x, r*x + 1 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddvdddxddbd. Give prob of picking 3 d and 1 v.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, z: 3}. What is prob of sequence zl?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(n**2 + 1 - 1) + 1 - 1 + 2*n**2 + 23*n - 23*n + 15*n**2 + 12 - 7*n**2 - 12 + 46 - 10*n**2 - 46 in the form f + h*n**2 + z*n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134898 - -134898.085693. What is m rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*h - 201, -z + 9*z = 72. Let u = 179 - 95. What is the highest common divisor of u and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (9 + -8) - (2 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19914449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {c: 12, g: 3, i: 1, m: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*((m**(2\/17)*m*m)\/m*m*m)\/m*m\/m**5*m*m**6*m**1*m**(-1\/4)\/m**(-8)*m**(5\/6)\/m**(3\/4) assuming m is positive.\nAnswer: m**(1525\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-9))\/(7\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 18 - (6 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 79901.\nAnswer: 79900.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:35 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(1 + 1 + 0). Let m(p) = -5*p + 1. Let k(h) = 9*h - 1. Let c(j) = -6*k(j) - 10*m(j). What is c(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - 5)\/(2\/202) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 6*q - 5. Let u(p) = 2*p + 1 - 3*p + 2*p. Let k be (-2)\/(-4) + 1\/2. Let o be 2 - (1 + 1) - k. Give o*r(v) - 5*u(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 2879.6853\nAnswer: 11518.7412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2139279, 4278542, 6417791, 8557020, 10696223?\n\"Answer: -j**3 - j**2 + 2139273*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22312332230 + -1103?\nAnswer: -22312333333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**6\/420 - 383*u**5\/210 - 3040*u**4\/7 + 12288*u**3\/7 + 3*u**2 - u - 927. Solve l(i) = 0.\nAnswer: -192, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0123 + 6.\nAnswer: 5.9877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13, -76 in increasing order.\nAnswer: -76, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - 23*t**3 - 3*t - 102836 + 102836 - 4*t.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 400729\/20 - 20042. Find the common denominator of p and -40\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -274*q - 2*q**2 + 128*q + 126*q + q**2. Let t be b(-19). Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1021296330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100133 + -3?\nAnswer: -100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r - 7. Calculate k(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/21 - 158493038*c\/21 + 105662028\/7.\nAnswer: -2*(c - 2)*(c + 79246521)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53119.51 decades to millennia.\nAnswer: 531.1951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 53. Is c <= 15\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 88 = -4*b, -3 = -j + 4*b - 1. Let h = j - 13. Suppose h*g - 622 = -177. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*2 - (-6 - -10). Suppose d*w - 33 = -w. What is the lowest common multiple of (4\/5)\/(2\/25) and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + (26 - (-10 + 33))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 788369300?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -556\/3071 or -12\/31?\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1139743, -1139730, -1139701, -1139650, -1139571?\n\"Answer: m**3 + 2*m**2 - 1139746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*1 + (sqrt(85) - (-1*(sqrt(85) + 2*sqrt(85) - sqrt(85)) - sqrt(85))))\/(-2*sqrt(180)*3).\nAnswer: -sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from xxxeeedexxdxeexxx.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 22 = 2*d - 52, -5*l = 2*d - 36. Suppose -5*c = -4*o + 11 + 22, 0 = -3*o + l. Put c, 5, -2 in descending order.\nAnswer: 5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3 + 6. Let y be 18\/(-4)*6\/d. Suppose 0 = -y*x + 7*x - 416. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + sqrt(11) + 5 + (sqrt(132)*-2)\/sqrt(12))**2 - ((sqrt(704) + 1)*-6)**2).\nAnswer: -25345 - 586*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 81, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(13)*-1 + -2*sqrt(1300))**2 + -2 + 6*(sqrt(13) + (sqrt(13) - sqrt(65)\/(sqrt(10)\/sqrt(2))) + sqrt(13) - (-1 + sqrt(13)*-2)).\nAnswer: 24*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-seven fifths of a milligram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - w**4 - w**4 + 16 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -297.69 from -29.\nAnswer: 268.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131*-82.6.\nAnswer: 10820.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (23 - -1 - (-1 + (2 - -1 - 0))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -284 - 830. Is n\/3*21\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 574362 and 63818?\nAnswer: 574362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6690042 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c*c**(-3\/10)*c*(c**(-2))**(-3\/2))**(2\/37) assuming c is positive.\nAnswer: c**(87\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9400)\/80*(54\/(-10))\/((-12)\/(-8))?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(132)\/sqrt(48)*-4 - ((sqrt(330)*-2)\/sqrt(6))\/((sqrt(5) + (sqrt(20) + sqrt(5) - sqrt(5)))*3)) + 0)**2.\nAnswer: 32*sqrt(11)\/9 + 2897\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -20*n**3 - 2*n**2 + n + 3. Let w be j(-1). Let y be 50\/w*(-4)\/55. Let x be 14\/(-12) - 2\/(-4). What is the closest to x in -2\/5, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbf when three letters picked without replacement from bbbkbbbbbbbfbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 10, m: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1195*f - 1380. Is 50 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 0 - 1 - 2 - 10*g**2 + 4*g + 8*g**2. Let j be t(2). Suppose -s - j + 16 = 0. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 22*a - 249. Let b be j(11). Let f(u) be the second derivative of u**4\/3 - 13*u**3\/6 + 2*u**2 + u. Is f(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 340779619*c. Let r(z) = 2*z. What is v(r(h))?\nAnswer: 681559238*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, k: 1, c: 5, z: 1}. Give prob of picking 1 u and 2 c.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*n - 67895 + 67895 - n**2.\nAnswer: -n**2 + 43*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1121 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -99. What is the highest common divisor of 12 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/(-25))\/((-2)\/10). Let f(u) = -2*u + 13. Let s be f(y). Does 9 divide s + (0 - 4) + 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:46 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -2*f**3 + 4*f - 2. Differentiate r(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 18*q = 0. Suppose q = -27*a + 54*a - 3726. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**3 + 34*r**2 + 28*r - 64 = 0.\nAnswer: -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*y - 27 = 0, 3*s + 5*y + 28 = -11 - 38 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 5*g**2 - g - 40. Let p be i(-6). Solve -2*q - 5*s + 2 = 0, -p*s = q + 3*s + 4 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)*-1*1 + 4*(sqrt(204) + sqrt(204)*2 - sqrt(204)))*-6)\/((4*sqrt(36)\/sqrt(3) - (sqrt(1200) - -1*sqrt(1200)))*-1) + -3)**2.\nAnswer: 63*sqrt(17)\/4 + 8073\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 1:14 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffiffifffefie. What is prob of sequence ei?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -221, -1561, -5109, -11969, -23245, -40041?\n\"Answer: -184*q**3 - 52*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1521 is divided by 447?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 33. Let r be z(14). Let x(k) = -k**3 - 6*k**2 - 3*k + 5. Determine x(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594802521 divided by -61.\nAnswer: -9750861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t - 23. Determine s(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*m**2 - 48*m**2 - 111*m**2 - 35*m**2 + 220*m**2.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/15 - 144*l**4\/5 + 29014*l**3\/5 - 675088*l**2\/15 + 89056*l = 0. What is l?\nAnswer: -345, 0, 4, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 95 (c) -0.2 (d) -0.16 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2589448 - 11?\nAnswer: 2589437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*n**3*o**3 - 2*n**2*o**3 - 15*n**2*o**2 + 13*n**2*o wrt n?\nAnswer: -126*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -1. Let a be 10 + 11 + (-1)\/(1 + k). Suppose -10*m + 8 = -a. Solve 2*l + 0 = 5*i + 6, -6 = m*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -157\/7 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uugaggu. Give prob of picking 1 u and 3 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -197. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(12\/(20\/5))*(-36)\/10\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/54*12\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 451 and -3.825.\nAnswer: -1725.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -925*a**2 + 2 + 866*a**2 + 1 + (-4*a + 2*a + a)*(-4*a - a + 3*a).\nAnswer: -57*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q**5 + 81283*q**4 - 2*q**3 - 1120831*q**2.\nAnswer: 240*q**2 + 1950792*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153246.\nAnswer: 2, 3, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33223203203 (base 4) to base 6.\nAnswer: 224034215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 7*p + 15. Let a be w(-7). Let l(o) = -35*o + 10. Let b be l(-7). What is the highest common divisor of a and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3231, -11985, -26583, -47031, -73335, -105501?\n\"Answer: -z**3 - 2916*z**2 + z - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 6) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-15)*279\/(-2).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176684462 a multiple of 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 13224*c**2 + 8522*c. Let u(b) = 46282*b**2 + 29826*b. Let y(d) = 18*o(d) - 5*u(d). What is the second derivative of y(a) wrt a?\nAnswer: 13244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -3 in decreasing order.\nAnswer: 15, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**3*u**2 + 1031*t**3 + 447*u**2 + 1 wrt u.\nAnswer: 2*t**3*u + 894*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 + a8a?\nAnswer: aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 4*l - 8. Give x(-10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -33. Let i = u + 11. What is the third biggest value in i, -2\/9, 2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701162.\nAnswer: 2, 7, 11, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -57 + 40 + (-2 - 0) + 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*s**2 + 6*s - 13654 - 2*s + 13658 + (2*s + 3 - 3)*(0 + 0 - 2*s) + 2*s**2 + 1 - 1.\nAnswer: -24*s**2 + 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (-1 + -1 - -5) - (-667 + 658)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4739, 9255, 13499, 17429, 21003, 24179, 26915, 29169?\nAnswer: 30899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 2*p + 6. Calculate the remainder when 9 is divided by q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -30 - -32) + 117 - (10 - (9 - -12))?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -21 - 0) + -13. Let o(p) = p - 3 + 0 + 5. Give o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -2*(-3 + sqrt(847) + (((sqrt(847) + 0 - sqrt(847)) + -4)**2 - sqrt(847)))).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -53. Suppose 5*r + 3*w - 22 = 15, 4*w = -4*r + z. Suppose 4*d + r = 36. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g + 7*g**3 + 9 - 8*g**2 - 5*g**3 - 3*g**3. What is i(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -29*r**5\/15 - 17*r**4\/24 - r**3\/3 - 16*r**2. Find the second derivative of x(d) wrt d.\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b + 19*b - 20689 + 22833 for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -797 times 0.5\nAnswer: -398.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4*p + p)*(2*p**2 - 6*p**3 + 21*p**3 - 13*p**3) - 3*p**4 - 3*p**4 + 4*p**4.\nAnswer: -4*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14094 and 4369059.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-35))\/((-2)\/5). Suppose -3*t - 5*v + 65 = 0, 3*t = 2*t - 5*v + 35. Let p = t - y. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801963 to the power of 1\/2, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*s + 480 = 0. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 1:19 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 12. Let l(j) = -2. Let u(z) = -4*l(z) - 2*t(z). Let f be u(14). Let p(n) = n**3 - 5*n**2 + 3*n + 3. Calculate p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*d + 17 - 24, 2*d = 3*v + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159871266 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**2\/2 - 54. Let b(p) = 45*p**2. What is b(d(h))?\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + h + 15 = 0, m + 0 = 2*h + 9. Let d = -10 - -17. Suppose -4*g + 1 = -d. Solve g*x + m*u - 12 = 0, -x = -u - 3*u + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 111 - 2 - 13\/((-65)\/(-10)). Solve q = 27*t - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/21*14\/(-24))\/(1092\/(-312))?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 5*s + 6. Let q be f(4). Suppose -14 = q*i - 4*l, 8*i - 6*i - 3*l = -17. What is the second smallest value in i, -0.5, -2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/4 - 15*b**3 + 207*b**2\/4 + 135*b\/2.\nAnswer: 3*b*(b - 15)*(b - 6)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122802747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86934739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3123786 + -97007069.\nAnswer: -93883283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*r + 1 - 1. Suppose r = 31*h - 20*h - 154. What is the remainder when h is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from pddpdp.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253378010732 - -8.\nAnswer: -253378010724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**3\/3 - 10*w**2 + 3*w - 22. Let u be a(20). Let c be (-2)\/(-8) + 166\/8. What is the highest common factor of c and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 7.5832 (b) -8 (c) 42 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 7. Let m = -4 + 14. Suppose 0*f = -4*f + 20. Solve -q*o + f = -m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063881 a multiple of 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 128 = 31*f - 36*f, 5*f - 54 = 2*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -1 + -1 + -1. Suppose 3*u**2 - 13*u - 9*u + 3*u**f - 3*u**3 + 25*u - 6*u**4 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2 + 14*i - 63. Is j(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.711975 hours in minutes?\nAnswer: 342.7185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - 212.599.\nAnswer: -233.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -0.25646.\nAnswer: -0.65646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brarelr. What is prob of picking 2 r and 1 b?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 + 12. Calculate the remainder when 117 is divided by f(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f73c - -4?\nAnswer: -2f738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(2\/13))**35 assuming f is positive.\nAnswer: f**(980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5686, -11358, -17030, -22702?\nAnswer: -28374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 + 22. Calculate the remainder when 467 is divided by u(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -700 + 764. Suppose r*c = 51*c + 364. Calculate the remainder when 220 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 883249?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47616 and 256.\nAnswer: 47616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 7*b. Let z(o) = 3*o**2 + 13*o. Calculate -5*j(h) + 2*z(h).\nAnswer: h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Suppose 11 = 3*a - 3*y + 2, 2*a + 5*y = -8. Sort -2, a, o in decreasing order.\nAnswer: a, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197485024?\nAnswer: 2, 11, 461, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 5:11 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 2*g**2 + 14*g + 12. What is the remainder when 1041 is divided by n(-4)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/33)*((y\/y**13)\/y)\/y assuming y is positive.\nAnswer: y**(-464\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1395 - 1351. What is the highest common factor of 6116 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 730.94 or -930?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 545056 less than or equal to 545157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - 5*h**2 + 3*h + 12. What are the prime factors of n(6)?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*a**3 - 215*a**3 + 487*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 - 518 + 258 - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 + 883*o**2\/4 + 886*o + 887.\nAnswer: -(o - 887)*(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -325609*i + 328206*i - 220745 for i.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 21\/2*v**3 - 3 - 1323\/2*v**2 - 1\/16*v**4 + v. Determine b so that l(b) = 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -257444.\nAnswer: -3\/257444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 5:17 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7 + 612*a + 418*a - 1035*a. Let r(b) = -11*b - 14. What is 4*r(y) - 9*w(y)?\nAnswer: y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 8 + 15*r - 7*r.\nAnswer: 8*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31376.\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14 = -2*n - f, -n - f = -6. Suppose 5*q - 5*l = -5, n*l + 0 = 5*q + 1. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -y + 2 + 5, -3*y + 8 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*v**3 + 183*v**3 + 245*v**3 - 678*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2320 - 11?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*i + 1848 = -512 - 927 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -2\/9 (b) -18551 (c) -11 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 6 = 5*u, -4*i + 45 = -3*u. Let j = 13 - i. What is the derivative of 3*c**4 + c**4 + 8 + c**j wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8397160 to the nearest one hundred thousand.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 129, 425, 1007, 1971, 3413?\n\"Answer: 16*u**3 - u**2 - 3*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -5, 0.\nAnswer: -5, 0, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271053868?\nAnswer: 2, 67763467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -2*w**5\/15 + w**3\/6 + w**2 - 2*w. Let v(m) be the first derivative of u(m). Suppose -5*i + 0 = 5. Calculate v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9164 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(3*(-3)\/(-63)). Suppose 5*n - t = 3*q, -2*q + 12 = -6*q. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) -4 (c) 2\/3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**3 + 8*a**3 + 15*a**3 + 9*a**3 + 8*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 477*j**2 + j - 2. Suppose -4*l + 9 + 7 = -2*n, l - 4 = -2*n. Let t be i(l). Let z = -76401\/10 + t. Calculate the common denominator of z and 55\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 309535, 309518, 309501, 309484?\n\"Answer: -17*f + 309552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g - 15*g)*(-6 + 1 - 2).\nAnswer: 98*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 76248*u - 76223*u - 76225*u + 228702*u.\nAnswer: 6*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(119)\/(sqrt(21)\/sqrt(3)) - (-2*sqrt(17)*1 + -5)**2 - (3 + (sqrt(272) - sqrt(272)*2*-4)*5).\nAnswer: -197*sqrt(17) - 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16314 and 65256?\nAnswer: 65256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -328825*b*q**3 - 116*b*q**2 - 18*b*q + 11*q**3 - 49*q**2 - q + 2 wrt q?\nAnswer: -1972950*b + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -6310 - 30617. Is 126 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 970307390 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/(3\/1)*105\/70*90\/(-81)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.048 - 0.928. Let k = 1 + a. What is k rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + 2*i + 1. Suppose -4*h - 4*p - 13 = -21, 12 = 4*p. Give q(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(66) - sqrt(66)) + -2*(-4*sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66)))\/((sqrt(486) - (sqrt(486)*-1*-5 - sqrt(486)))*3).\nAnswer: -2*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208\/84 + 2420\/(-770) + (-49)\/(-15).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) -3\/2 (c) 2 (d) -142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/288*-78 + -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 227 - 251 - (-16 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 45 - 49 + 184 - 8*f - 35.\nAnswer: -8*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, t: 10}. Give prob of sequence cc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -741, -1481, -2221?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9)*h**(2\/3))\/(h**(-1)*h**(-2)) assuming h is positive.\nAnswer: h**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.2 (b) 1 (c) 0.64 (d) -2\/13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -3*m. Let j = 12 - 12.8. Does m = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293*g + 1019 + 5*g**2 - 2039 + 1018 to a + h*g + k*g**2 and give h.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 e when three letters picked without replacement from yyyyeyyyyyyyy.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.022 + 0.278. What is the closest to -2\/3 in 2\/17, x, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 445168 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7535676.\nAnswer: 2, 3, 627973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -46.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 + -139. Which is the nearest to y? (a) -0.06 (b) -1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3341 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:38 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**5)*(h**3\/h)\/h*(h**1)**(2\/53)*(h**(-1\/4)*h**1\/h*h)\/(h\/(h\/(h\/h**(2\/7))))**(-4\/9) assuming h is positive.\nAnswer: h**(94897\/13356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1387\/438)\/(-3*4\/24)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102202 (base 3) to base 16.\nAnswer: -ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*d + 108, -135 + 23 = -3*v - 2*d. Solve -i = -v + 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20342, 20346, 20348, 20348, 20346?\n\"Answer: -k**2 + 7*k + 20336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 + 110. What is the smallest value in -14, r, -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15d (base 15) in base 11?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 = 149*r - 188*r - 13 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73348932, -73348930, -73348928, -73348926, -73348924?\nAnswer: -73348922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*3*2\/(-9) + 0. Let x be r - ((-2)\/13 + (-44)\/52). Put -2, 1, x in descending order.\nAnswer: 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1468686 divided by 489562\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 218923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2924 + -5531.0076. What is y rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.01 - -27. Let s = 0.41 + w. Let n = s + -0.5. What is the third smallest value in 1\/4, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13095\/77 + 1466625\/8624. Find the common denominator of o and 117\/1568.\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 264\/84)*(-21)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(605) + 4)**2 + -1.\nAnswer: -2485 + 352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284539803*h**3*i**3 + h**3*i**2 - 48920283 wrt i?\nAnswer: -1707238818*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*x = 16, 424*t - 24 = 427*t + 3*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 775, -4, -1, 5.\nAnswer: -13, -4, -1, 5, 775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 3) + 0 + 0 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*q - 217679 = 476*q + 681*q + 1935*q for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3906692300.\nAnswer: 2, 5, 7, 139, 40151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14644375?\nAnswer: 5, 23431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w**3 + 22*w**2 - 12*w + 2. Let l(z) = 31*z**3 + 41*z**2 - 22*z + 3. Determine 6*l(r) - 11*u(r).\nAnswer: 10*r**3 + 4*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/60 and 83\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkzkkkzkkkzz. What is prob of picking 1 z and 2 k?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/4 - 19*y**3\/2 = 0. What is y?\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -196a (base 11) in base 6?\nAnswer: -15320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1986 divide 321822505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 37. Are -29 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - 24*u**2 - 45*u - 7. Is n(13) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -7965?\nAnswer: 7966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2198.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.326 - 21. What is r rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 15 (b) 563 (c) 300 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -197 - -310. Let w = a + -111. What is the nearest to 0.2 in w, -1.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -4*v - 34*i + 11*i, 9*v - 9*i + 18*i + 92 = 2*i + 2*i for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100385042 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/1265*8\/12?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1*(-3)\/(-6). Suppose 0 = -u*b + 5*b - 10. Suppose -3*c + 2*y + 260 = 2*c, 0 = b*y. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*b + 7, -14*b = -5*v - 19*b - 5. What is the hundreds digit of 213 + -5 + 4 + v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(832) - sqrt(832) - (-1 + sqrt(832))**2.\nAnswer: -833 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmmmmvm. Give prob of sequence vm.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -1\/90*w**7 + 0*w**3 + 0*w + 0 - 1\/5*w**5 + 1\/12*w**6 + 1\/9*w**4 - w**2. Factor a(l).\nAnswer: -l*(l - 2)**2*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103185983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6 = 2*y. Which is the closest to -1? (a) -0.3 (b) y (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -17. Let y(i) = 5*i + i**3 - 3*i**3 + 0*i**q. Let x(d) = -d**3 + 3*d. Determine 5*x(k) - 3*y(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -11.1\nAnswer: -13.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 21*n + 8. Factor 8*o**n + 10*o**2 - 2 - 21*o + 5.\nAnswer: 3*(o - 1)*(6*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 63*l**2 - 354*l - 695. Determine z(-57).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 184792? (a) -1\/14 (b) -5\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*m + 167*m + 168*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -148, -180, -178, -136?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -762607 + 3 - -2 - (-19 + 17). What is r rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 106, 160, 212, 262, 310?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35152031 (base 8) to base 16.\nAnswer: 74d419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - p + 2*p + 160 = 0, 5*p = 20. Suppose -39*t + j*t - 8 = 0. What is the third derivative of -8 + 31*f**2 + 12 - 4 - 24*f**t wrt f?\nAnswer: -576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -10. Let h(l) = l**3 - 2*l - 6*l**2 + 4*l + 9 - 16. Let z be h(6). What is the greatest common factor of b and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(12\/16*-4). Solve p*k + 5*k = -15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 355301750 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(-1)*(-194)\/(-873)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*t = 181*t + 4*x + 1, 10*t - 50 = 5*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9483942 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*t = -74*t + 9. Let j = 27 - 21. Suppose -b = -j*b + 5. Put t, b, -1 in descending order.\nAnswer: b, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -453*t. Let k(h) be the third derivative of h**5\/60 + 16*h**2 - 3*h. Determine j(k(p)).\nAnswer: -453*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 + 77 = 14*c + 38. Solve -c - 112 = -29*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0 + 7\/30*w**6 - 7\/6*w**4 - 2\/105*w**7 - 54*w**2 - 1\/3*w**5 + 0*w + 4*w**3. Factor j(r).\nAnswer: -4*(r - 6)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -532*j + 527*j - 9, 45 = 5*r - j for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + x + 5*x. Let n(h) be the third derivative of 11*h**4\/24 + 5*h**3\/6 - 53*h**2 - 37*h. What is n(q(s))?\nAnswer: 33*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.5 (b) -1 (c) 6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f - 11 = -4*n - 71*f, 30*f - 162 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5 + 683*h**4\/8 + 14359*h**3\/8 - 9503*h**2\/8 - 5547*h\/8 = 0.\nAnswer: -43, -3\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 220552 less than 935?\nAnswer: -219617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/7, 10\/51, 122?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -924*i**2 - 1000*i + 224.\nAnswer: -4*(11*i + 14)*(21*i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 48845*y**3 - 25*y**2 - 125. Let k(d) = 6106*d**3 - 3*d**2 - 15. What is -3*f(o) + 25*k(o)?\nAnswer: 6115*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3345636.3\nAnswer: -10036908.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 > 785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 105*x - 48*x - 51*x + 5 + 55*x**2. Let n be m(-2). What is the highest common divisor of n and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/5)\/(x\/(x\/(x*x\/(x**(1\/3)*x*x)*x)))*x**4*x**(2\/7)*(x\/((x*x**(-1))\/x))**5\/(x**1*x**(-1)\/x) assuming x is positive.\nAnswer: x**(1598\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1335 + 1335. What is m in 0*m**2 - 5\/3*m + 0*m**4 - 5\/3*m**5 + 10\/3*m**3 + a = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 17. What are the prime factors of (-49)\/(-2) - f\/4?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-5*t - t + 5*t) + 4*t + 0*t - 3*t + (-4*t + 0*t + 2*t)*(2 - 4 + 0) + 2*t - 6*t - 4*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*r + 3825 = 366*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t + 2*t + (-1 + 2 - 2)*(-2 + 2 + t) + 2*t + 0*t + 2*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 160260668?\nAnswer: 480782004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944*t**3 - 22*t**2 + 8*t + 17*t**2 + 5*t**2 + 932*t**3.\nAnswer: -12*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 7*t**4\/12 - 3*t**3 - 98*t**2. Differentiate u(g) with respect to g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + 1*sqrt(200))*-6)\/(sqrt(484)*-1 + sqrt(484) - sqrt(484)))**2 + -2.\nAnswer: 6958\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1 - 2481*b**2 + b + 2482*b**2 - 6*b. What is g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -8. Let h = -49 + 50. Let a = -5465 + 5466. What is the closest to a in 3, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77265 by 56.\nAnswer: 77265\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618990 by 5.\nAnswer: -123798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 348*r**3 - 753*r**2 + 5310*r.\nAnswer: 3*r*(r - 118)*(r - 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6598?\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 - 95. Let t be 546\/h + (-2)\/(-6). Let j = 37\/4 - t. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 3 - -3) + 10 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51 - -70 - -11 - 17\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-4)\/(-48)). Let g(r) be the third derivative of r**4\/12 + 2*r**3\/3 - 25187*r**2. Give g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*p**2*q + 2*p**2 - 2*p*q + 8*p - 13480*q - 255753 wrt q.\nAnswer: 8*p**2 - 2*p - 13480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/5)\/((-2)\/160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 3. Let y(m) be the first derivative of m**3 - 15*m**2\/2 - 45*m + 15. Let p(b) = -15*r(b) - y(b). Let z(d) = -27*d**2. Calculate p(z(l)).\nAnswer: -2187*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + w**2 + 2*w)*(0*w - w - w) - w**2 - 2*w**3 + w**2 + (5 + 5 - 4)*(w**3 - 2*w**2 + 2*w**2) in the form y*w + u*w**2 + p + j*w**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((-4158)\/(-24))*(-12)\/(-8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19.76 or -2?\nAnswer: 19.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 5*u. Which is the smallest value? (a) -4 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10*d - 3 = -3*l, -4*d = -l - 6. Calculate the remainder when ((-420)\/200 + 15\/25)\/((-3)\/58) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 4. Let w(l) = 5*l + 7. Let o be -3 + 1 - (-11 + 0\/2). Suppose -r - o = 4*q, 2*q + 1 = 5*r + 2. Let v be w(q). What is h(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53921.2779 minutes in weeks?\nAnswer: 5.349333125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(10\/(-120)). Let p(a) = -2*a - 4. Let c be p(7). Let b = 22 + c. Solve -4*t - b = n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 0*b = -84. Solve 4*d = -0*d - b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 3, o: 3, j: 3, k: 2, e: 1}. Give prob of sequence eg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from {l: 2, j: 1, r: 2, b: 1, z: 1, t: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1981442 and 526.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1125, 4329, 9669, 17145, 26757, 38505?\nAnswer: 52389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 1. Let c be j(-2). Suppose 0 = -c*l + 3*k + 21, k + 29 = l + 2*l. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 842660.3nm?\nAnswer: 0.0000008426603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 k when three letters picked without replacement from kkkfkkkkfk?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4951894253 to the power of 1\/2, to the nearest integer?\nAnswer: 70370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.26, -2, -5, 9\/215, -1.9 in descending order.\nAnswer: 9\/215, -0.26, -1.9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3990, -8442, -12884, -17316, -21738, -26150?\nAnswer: -30552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.719752 rounded to one dp?\nAnswer: 984.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 24404780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-40)\/36).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4460.306825 to one dp.\nAnswer: -4460.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 3*l**2 + 0*l**2)*(-21*l + 21*l - 4*l**2) - 4*l**4 + 3*l**4 - 3*l**4.\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 91. Let j be v(-19). Solve 4*o - 14 = -f, -3*o + 0*f = 3*f - j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -493 + 493. Is (-11 - (-3 - 25))*(27 + z) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -2\/13, 1, 19, -3, -10\/123?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 107 = 37. Let n be (2\/4)\/((-15)\/o). Let d = n - -41\/10. Are d and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928170 to the power of 1\/2, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3471344567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 12. Suppose -12*z = -10*z - p. Suppose -z*y + 421 = 169. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*w = -5*w + 12, -5*w + 20 = 5*u. Let n(m) = -2 - m**3 + u + 0 + 3*m. What are the prime factors of n(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26521827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a40 (base 14) to base 13.\nAnswer: -bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 8:08 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abmmjbjjmny. Give prob of sequence najy.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1184)\/8*3\/(-12). Suppose -d + i = -33. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*o + 5*d + 250, 5*d + 205 = 4*o. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Suppose 0 = 5*u + p*y - 5*y - 100, 0 = 3*u + 2*y - 41. Let z = -2 + u. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 33. Let g = 79 + c. Calculate the highest common divisor of g and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828478.\nAnswer: 2, 914239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 9*m - 46*m. Calculate the remainder when 54473\/285 + m\/(-30) is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -648500 to the nearest ten thousand.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + t)*(-276 + 148 + 753).\nAnswer: -1250*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 2\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1795 - -7177\/4. What is the third smallest value in 0.045, r, -2.9?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b + -6131?\nAnswer: -60a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/11 + ((-648)\/39)\/(-4). Let r = -20 - -15. Let c = 12 - r. Sort -2\/17, f, c in decreasing order.\nAnswer: c, f, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 325 - 9751\/30. Is q at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*i + 2*j = 101*i - 19, -2*i + 3*j - 12 = -8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 249 = 52. Let l = k + 41. List the prime factors of l\/(-16)*12 + (-15)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/5)\/j)*j\/(j**(2\/3)\/j))**(-2\/153)\/((j\/((j*j**(1\/2))\/j))**(-12\/11)\/(j**6\/j*j**(4\/5))) assuming j is positive.\nAnswer: j**(159223\/25245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/7 + 256*r**3 + 3640*r**2 = 0.\nAnswer: -14, 0, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100200 - -10210?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 69. Let v(p) = 7*p**3 - 9*p**2 - 17*p - 21. Let i(g) = -10*g**3 + 14*g**2 + 25*g + 31. Let q(x) = t*i(x) + 7*v(x). Give q(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 4*n**2 + 6*n - 4. Let x be v(3). Calculate the remainder when 15 is divided by ((-9)\/x)\/((-33)\/110).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1952643, 1952624, 1952595, 1952550, 1952483, 1952388?\n\"Answer: -w**3 + w**2 - 15*w + 1952658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((sqrt(13) - (sqrt(13) + -2))*5)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1287400481 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q + 23. What is h(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((2600\/(-75))\/(-52))\/(8\/(-18)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/12 + 10\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 4*d**2 + 6. Let s(f) = f**3 + f**2 + f + 1. Let z(i) = -r(i) + 2*s(i). Let m be z(4). Calculate the greatest common divisor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eig when three letters picked without replacement from pigexggpppgphggepppg?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.191 + 0.691. Which is the nearest to 1? (a) -0.3 (b) q (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -12.625.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631.245 rounded to the nearest 10?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-25))\/(-4)*(-45 - (-66 - -45) - -25)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m - 4. Let l(r) be the second derivative of r**3\/3 + r**2\/2 + 24*r. What is 9*l(s) + 2*y(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r - 0. Suppose -r*g = -4, -3*g - 47 = -5*s - 0. Find the second derivative of 4*a**2 + s - 4*a - 10 + 11*a**2 wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2059 = -121*x - 3199 - 2853 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18861 and 15.\nAnswer: 94305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*s**3 + 223313*s + 11182850 wrt s?\nAnswer: -30*s**2 + 223313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -j + 109, -3*n - 3*j + j = -161. Let t(z) = 3*z - 6. Suppose -2 = -y, -2*y = -5*b - 0*y + 31. What is the remainder when n is divided by t(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/24 - w**5\/6 + 35*w**4\/24 - 10*w**3\/3 - 197*w**2. Suppose y(p) = 0. Calculate p.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a**2 - a + 1. Let q = 6 + -4. Calculate the smallest common multiple of k(1) and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 34 - 32*y**3 - 3\/5*y**5 + 30*y**2 + 39\/4*y**4 + 0*y. Factor z(j).\nAnswer: -3*j*(j - 10)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3644 - 42016?\nAnswer: -35042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45*((-2805)\/9775 - 2\/(-23))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 711519837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7714 + -5218. What is the highest common factor of d and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11836 - -11752. What is the nearest to 2 in i, -1\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-5)\/(-20))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*d - 32536, 70*j - 65*j - 24394 = -3*d. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266*s**3 + 230*s**3 + 9*s**2 + 30*s**2 wrt s.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6194573\/116 - 53402. What is the common denominator of -54\/145 and v?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x + 1. What are the prime factors of s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, 0.5, -36, -1, 1\/7 in ascending order.\nAnswer: -36, -17, -1, 1\/7, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 + 5*n + 2. Let d be r(6). Let l = -9136 - -9131. What is the closest to -0.3 in l, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2713 - 249 = 11*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 - -263 - (-7 - (-4 - 1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307458373*f**3*w + f*w - 1562*f - 2*w - 5525 wrt f?\nAnswer: 1844750238*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 i when four letters picked without replacement from {i: 3, z: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131847.952 rounded to the nearest 10000?\nAnswer: 2130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-402162)\/9674 + 3\/(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 192\/1440 + (-102)\/(-135) - 0. Factor -y*a**3 + 50 - 52\/9*a**2 + 40\/3*a + 2\/9*a**4.\nAnswer: 2*(a - 5)**2*(a + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 1. Let v(h) = -h + 6. Let u be v(5). Suppose -2 + u = -l. Determine r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19238 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606199 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + p + 1 = 3*p, -m + p = -2. Suppose -49*h + 70 = -47*h. What is the highest common divisor of m and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-44))\/(((-3)\/(-3))\/((-32)\/(-304)))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1437, -2876, -4315, -5754, -7193?\nAnswer: -8632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 33*z + 186 = 0. Calculate the least common multiple of 134 and z.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-917)\/(-14) - (-2)\/(-12)*3. Suppose -n = -6*n - 165. Let i = n + g. Find the common denominator of i and -16\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**3 + 4*y**2 - 14*y - 9. Let v be h(-5). Suppose 13*c - 20*c + v = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2, 195, -3\/4, 1\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 0*k**3 - 9*k**2 + 13 + 4*k - k**3. Let r be p(-9). Let q = 106 - 106. What is the closest to 2 in q, -1\/5, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 1084*h - 9845. What is l(-9)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.26728 minutes in days?\nAnswer: 0.2203245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(1\/87) - (-2 + -7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**6\/120 - 7*i**5\/60 + i**4\/24 + i**3\/3 + 5*i**2. Let g be w(-7). What is the second smallest value in g, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-5)*-52)\/((-224)\/(-1120)). Is 4 - ((-8)\/w + 28592\/(-52)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 86 = -5*p, 4*d + d = -4*p - 74. Let g = -13821 - -13816. Is g < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 1492, 3178, 5500, 8458, 12052?\nAnswer: 16282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-55)\/15 + 1)\/((-2)\/(-69)). Let h = -76 - g. What is the smallest common multiple of 9 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48891857 divided by 997793?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 - 28*r + 57. Calculate t(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*b + 1. Suppose b*o = -2*o + 114. What is the remainder when 36 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.602 - -2.307. Round o to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74494957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10 and 45\/255023804.\nAnswer: 1275119020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146811, -293608, -440403, -587196, -733987, -880776?\nAnswer: -1027563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2361641 and 2419.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 1170.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6008612 is divided by 18545?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**0\/h)))**(3\/4)\/(h**(-2\/11)*h**(3\/4))*(h**6*((h*h**4\/h*h)\/h)\/h)**(8\/3) assuming h is positive.\nAnswer: h**(499\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 a, and 1 h when four letters picked without replacement from hhaag.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b + 9*b**2 + 95*b**3 - 8*b**2 + 49*b - 32*b.\nAnswer: 95*b**3 + b**2 + 51*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 + 9*h**2 - 4*h + 65. Let l(g) = g**3 + 2*g**2 - g + 16. Let r(y) = -2*k(y) + 9*l(y). Calculate r(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 5782.\nAnswer: 5782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = 3. Suppose q + 4*q - 4*o = z, -2*q + o + 3 = 0. Solve q = 4*h - 0 + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x + 12. Let g(v) = v**3 - 3*v**2 + 2*v - 1. Let k be g(3). Let t = x + k. Calculate the remainder when 3 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26 and -148.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39927?\nAnswer: 3, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2)\/((-4)\/(-6)) + -3. Let i(a) = a**3 - 5*a**2 + 2*a + 7. Let w(x) = -x**3 + 6*x**2 - 2*x - 8. Give p*i(m) - 5*w(m).\nAnswer: -m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -760, -6071, -20606, -49015, -95948?\nAnswer: -166055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13614597, 27229196, 40843795?\n\"Answer: 13614599*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22498, -22687, -22968, -23341, -23806, -24363?\nAnswer: -25012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/16 and -9\/743516.\nAnswer: 2974064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*g - 192793 - 20486. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 7*k + 11 - 26. Sort k, -0.5, -41, 1 in ascending order.\nAnswer: -41, k, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 613814 and 34162.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2, 1 = -u + 6*u + 3*a. Let y be (-1)\/(-2) + 2\/u. Let f = -0.5 - -0.8. What is the smallest value in f, y, -2\/19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/900 - 26*r**5\/225 - 56*r**4\/45 - 667*r**2. Factor j(a).\nAnswer: 2*a*(a - 56)*(a + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 411150541 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, 123, 531, 1357, 2739, 4815?\n\"Answer: 23*j**3 + 2*j**2 - 39*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - 172 = 0. Suppose 4*b + 3*d = 3*b + 11, -5*b - 3*d = -u. 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 product of 2 and 17684?\nAnswer: 35368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 - 10001010010111?\nAnswer: -10001001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -7324392 = 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n - 44756 + 121378. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55500 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 4, j: 3, l: 2, d: 7}. What is prob of sequence lld?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.59 in -0.3, 1, -0.033, 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - 4*o, 2*d + 4*o = 3*o + 1. Let a = 1 + d. What is the greatest common divisor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 6 = 4*p, 0 = 2*l + 22 - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82508, -82519, -82530?\nAnswer: -82541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 1, f: 11, l: 4}. What is prob of picking 1 f, 1 e, and 1 l?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81*d - 123*d + 28*d)*((1 - 2 + 3)*(0 - 2 + 3) + 9 - 7 - 6) as s*d + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipizakappa. Give prob of sequence ik.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -191, -388, -659, -998, -1399, -1856?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 5*i**2 - 5*i**2)*(-i - 7 + 6*i**2 - 1 + 5).\nAnswer: -18*i**4 + 3*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982449 is divided by 327404.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 - 2*r**2 + 1. Let l be h(1). Solve 1 = l*p + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 63 = 0. Suppose 5*q - 5*w = 185, 33 + 197 = 5*q + 4*w. Calculate the greatest common factor of s and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -c - 156. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 - 2706*f**2 - 3644656*f - 4889417080\/3.\nAnswer: -2*(f + 1262)**2*(f + 1535)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dop when three letters picked without replacement from pcofcxd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/839 - 1668\/4195. Which is the nearest to z? (a) 2 (b) -4 (c) -3\/5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2\/d)**(-27)*(d**(1\/3)*d*d)**(-1\/39) assuming d is positive.\nAnswer: d**(-6325\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7\/(s**(-1)\/s))\/((s*s**2)\/s)**5)\/((((s**(-2)*s)\/s)\/(s*s**7))\/(s**(-4)\/s**1)) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 369*z + 726.\nAnswer: 3*(z - 121)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, 36.\nAnswer: -1, 2\/3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 + 266 + 26)*(2*g**3 + 2*g**3 - 2*g**3).\nAnswer: 836*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000360983321 to 7 dps.\nAnswer: 0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7426 and 234788.\nAnswer: 11035036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-4)*(-1)\/(-2). Let u(b) = 5*b**3 - q*b**3 - 3*b + b - 2 + 2*b**2. Let n(l) = 1938*l + 36824. Let v be n(-19). What is u(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -35*d**3 + 34*d**3 + 4 + 0*d**2 + 0*d**2 - 11*d**2. Let x be p(-11). Suppose -3*f + 2*z = x*z - 145, f - z = 45. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7130175.\nAnswer: 3, 5, 13, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6648.119ng in kilograms?\nAnswer: 0.000000006648119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v - 5*h - 110 = -75*v, 2*h - 8 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 13320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295128.637 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 10 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4786 and 0.5498.\nAnswer: 2631.3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38032825 to the nearest integer?\nAnswer: 6167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + 19 + -66 + 25.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 - 3 = 0. Let g(n) = 3*n + 1. Let z be g(m). Let p = z - 4. Solve 4*i = -p*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 3*k**2 + 4. Let a be (5 + 15\/(-5))\/((-4)\/6). Let r(z) = -5*z**3 + 8*z**2 + 11. Give a*r(b) + 8*d(b).\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 1 (c) 1076 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(91) + (sqrt(91) - (sqrt(91)*-2 - sqrt(91))))\/sqrt(7) - sqrt(13)) + -2.\nAnswer: -5*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 418 and 418 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r = -57*r - 3*q + 186084, 5*r - 310143 = -2*q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.0517001.\nAnswer: 0.2517001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8928.4432 rounded to the nearest 10?\nAnswer: -8930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 3*i + 83*i**2 - i.\nAnswer: 83*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from nnllnnlnnnn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0 - 4*l**2 - 56*l - 3\/2*l**3 - 1\/12*l**4. Determine k(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3\/2 (b) 292\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 9*r**2 + 22*r - 88. What is i(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1*sqrt(68) + -2 + -4 - (-2 + sqrt(17) + sqrt(17) + -1 + -3 + sqrt(612) + sqrt(17)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyo when three letters picked without replacement from oyyyoyyyyyyyoy?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -687274 - -1392995. Is 4\/9 + g\/153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.600176 - 3.6. What is y rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1143576993 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-31.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**7*d)**(-31)*((d\/(d\/(d\/((d\/d**1)\/d))))\/d*d)**(19\/2) assuming d is positive.\nAnswer: d**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60839376?\nAnswer: 2, 3, 13, 97499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86285\/264 - 3636\/11. Calculate the common denominator of y and -79\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 121*q**2 - 59*q**2 - 65*q**2 - 1 + 6*q**3 + 3*q. Let k be p(1). Suppose k*v = v + 64. Solve 0 = -6*a + 2*a - v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60256, -111933, -163610, -215287, -266964?\nAnswer: -318641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (-6 + -1 + 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 24*r + 12. Let q(v) = -30*v - 15. Let a(n) = -5*f(n) - 4*q(n). Let g(j) be the second derivative of 7*j**4\/12 - j. What is g(a(b))?\nAnswer: 175*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 = 5*w - 3*j, 4*w + 47*j + 907 - 989 = 0 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 411*n - 10309 - 1874*n**2 + 10309 wrt n.\nAnswer: -3748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 5:17 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.526529 tonnes?\nAnswer: 3526529000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4 and 33\/1463276.\nAnswer: 1463276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 1 + (-2 + 3 + 1)*(2 + 1 + 1) - 1 + 3 - 1)*(-2*g**3 + 6 - 3 + g**3) in the form d + y*g**3 + x*g + r*g**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88224145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:26 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 67.5417 times -0.03\nAnswer: -2.026251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 14*o**2 - 2 + 2.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*o + 21, 18 = -0*q + 2*q + 4*o. Suppose -b - q*b = -6. What is the closest to 7\/5 in 0.5, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 - 12*o**2 + 16 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-3 - 5)) + 1 + 16. Let a = -15 + 11. Let c be -2*(2 + a) - 1. Calculate the greatest common factor of c and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + 4*x - 73, 2*x - 56 = -4*s. Let y = 17 - s. Suppose 0 = -2*m + y - 0. Solve -1 - m = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 269, 1, -127, -0.2 in descending order.\nAnswer: 269, 1, -0.2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (192024\/(-108))\/(840\/(-60))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 8. Let r be d(10). Suppose 5*n - 34 = -5*p - 4, -4*p - r*n = -20. Let i = 0 - 0. Solve -2 = -5*v - i*c + c, p*v = -c - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*u - 1920, -8*z + 2*u = -11*z + 2867. What are the prime factors of z?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 - (89 + -91).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 245889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*u + 24*u**2 - 119*u**2 + 546*u**2 + 661*u**2 + 390*u wrt u.\nAnswer: 2224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 10434736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*g*o**2*r*v**2 - 5*g*o**2 + g*o*v**3 + 431*g*r*v**3 + 2*g*r*v**2 + 3*o**2*r*v - 2*o**2*v**3 wrt v?\nAnswer: 6*g*o + 2586*g*r - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4 - 5*h - 3 + 4*h + 6. Is w(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100101101?\nAnswer: 100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 20*l - 6. Suppose l*f + o + 10 = f, 3*f = o - 20. Does 26 divide 322\/3*(-6 - 45\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1688 and 31439?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15726, -31999, -48816, -66171, -84058, -102471, -121404?\nAnswer: -140851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -143320*f**2. Let j(m) = -18*m + 5. Give j(p(c)).\nAnswer: 2579760*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1272167647 - 9815.\nAnswer: -1272177462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:04 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 5. Suppose -x = -9 + 2. Let m = x - 2. Let g(a) = 2*a**2 + 2. What is m*g(z) - 2*t(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/2 - (0 + -3). Let l be b\/(-3) + 28\/21. Is l\/(2 - (-938)\/(-470)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.14, -0.84 in ascending order.\nAnswer: -0.84, -0.14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -9\/62449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(102) + (sqrt(102) - (sqrt(102) - (sqrt(102) + 1*sqrt(102) - sqrt(102)) - sqrt(102) - sqrt(102))))\/sqrt(6) - sqrt(34)\/(-1*sqrt(2)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103.9 + 79.9. Are -2 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k**3 - 11*k**2 + 12*k - 10. Let j(s) = s**3 - s**2 + s - 1. What is -22*j(h) + 2*p(h)?\nAnswer: -68*h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-6) + 1\/(-3). Suppose -t - 28 = -l*t - 4*j, -80 = -5*t + 4*j. Calculate the greatest common divisor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0*n + 0*n**3 + n**4 - 1 + 1\/2*n**2. Find the second derivative of y(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002711 to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768393709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*b, 5*m - 134*b - 15 = -132*b. Let r = -3 + 9. Solve m*y = r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 83. What is l(0)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1, 2, -30 in decreasing order.\nAnswer: 2, 0, -1, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2380\/(-12)*((-312)\/20)\/13. Suppose -162*q = -153*q - 126. What is the highest common divisor of q and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u. Let h(v) = -9*v**2 + 3*v + 3. Let x(a) = -10*a**2 + 4*a + 4. Let i(f) = 4*h(f) - 3*x(f). Determine b(i(t)).\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55487416?\nAnswer: 2, 6935927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + y)*(y - 2*y + 3*y) - y**2 - 6*y - y**2 + 8*y.\nAnswer: -8*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2035.605ml to litres.\nAnswer: 2.035605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -1 (c) 0.4 (d) 1\/4 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-8)*102\/(-765)*555\/25.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 81*u**2 - 3252*u - 21420.\nAnswer: 3*(u - 51)*(u + 10)*(u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1416.15 and -0.26?\nAnswer: 368.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 26565*r + 26569*r - 53134*r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 225 = q. Calculate the highest common divisor of 315 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*f**4 - 225 - 181\/4*f**2 - 11\/2*f**3 - 165*f.\nAnswer: -(f + 5)**2*(f + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u + 4. Let l = 22 - 27. Let j(d) = -8*d - 5. What is l*x(w) - 4*j(w)?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721646 (base 12) to base 14.\nAnswer: 346bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*d + 34*d + 30. Suppose -361 = -x - 2*h, d*x - 5*h - 1071 = -8*h. What are the prime factors of x?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15\/89 - -1439\/8010. Let m(o) be the third derivative of 1\/315*o**7 + s*o**5 + 0*o**4 + 0*o - 1\/90*o**6 + 4*o**2 + 0 + 0*o**3. Factor m(i).\nAnswer: 2*i**2*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 103140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 9721025*a**3 - 9721030*a**2.\nAnswer: 5*a**2*(a - 1944206)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 15*u - 43. Let a be c(-27). Let k = -9126 + a. What is k rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*((m*m\/((m\/m**(-6\/5))\/m)*m)\/m)\/m)*m**9)\/(m\/(m*(m\/(m\/((((m\/(m*m**(1\/4)))\/m)\/m)\/m)))\/m*m)*m*m)**(-15\/2) assuming m is positive.\nAnswer: m**(1983\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 12. Let q be y(4). Let d(l) be the first derivative of -l**4\/4 + l**3 + 3*l**2\/2 + 9*l + 209. Calculate d(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8836710647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -6. Suppose 0 = -3*i - 0*w - y*w - 66, i + 3*w + 32 = 0. Let a = 32 + i. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/6*12\/(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {o: 2, f: 5, y: 5, a: 7}?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138 * 2202.\nAnswer: -303.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 131096*y - 53356071. Calculate o(407).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 6:53 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 42791324 to the nearest 100000.\nAnswer: 42800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 80.48, 2\/9, 1, -20, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -712 + 360 + 352 + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - (-11)\/((-11)\/(-1060))*2.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.35 (b) -3.221 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 485*g**6 - 2458*g**2 wrt g?\nAnswer: 58200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -70, 23, 1 in increasing order.\nAnswer: -70, -1, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12812017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886 = -5*v + 861. What is the third smallest value in -3, 1798, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b - 3*r - 22 = 0, -5*r = 20. Find the second derivative of -2*i**3 - b*i - 8*i**4 + 8*i + 2*i**3 wrt i.\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426c5 (base 16) to base 10\nAnswer: 272069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 14) in base 12?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14383128 and 28905?\nAnswer: 5781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -37, 0, 36, 2 in decreasing order.\nAnswer: 36, 2, 0, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g. Suppose 2*d - 21 - 17 = g. Solve -3*v + 0*v = -5*t + d, -4*t = v - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30276551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 1\/6*x**4 + 0 - 7*x + 0*x**3 + 0*x**2. Let j(z) = 7*z**2. What is j(d(w))?\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*l = 9, 1 = -5*y - l + 4. Let d = -13\/8 + 23\/24. Suppose -4*f + 52 = 5*z, 2 - 64 = -5*z + f. What is the closest to z in -0.5, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**3*r**3 + 35*m**3*r - 2*m**3 + 26*m**2*r**3 - 619*r**3 wrt m?\nAnswer: -30*r**3 + 210*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t + 4. Let o be h(3). Let d be ((-72)\/15)\/((-3)\/10). Let x = d - 8. What is the greatest common divisor of x and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u**2 - 29*u + 25. Let t(l) = 5*l**2 + 14*l - 12. Let m(x) = -6*o(x) - 13*t(x). Let g(j) = 7*j**2 + 2*j + 1. Let r be g(-1). Give m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**3 - o**5 - 5*o**3)*(-33 + 60 - 7) + (3*o + 8*o - 2*o)*(0*o**4 - 3*o**4 + o**4).\nAnswer: -38*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntq when three letters picked without replacement from qtnototnqnnonon?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 1, u: 1, r: 1, h: 2, b: 1}. Give prob of sequence db.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + -10. Let q = 3 - s. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s - 5. Let o be g(0). Let l = -1 - o. Suppose 0 = -5*z + 2*m + 57, -m = l*z + 4*m - 72. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*h - 476 = -6*l, -3*l + 364 = 2*h. Suppose 45 = 5*z - z + 3*o, -z + 40 = -5*o. What is the greatest common divisor of z and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*c = 2*f + 77*c - 1539, 2*c + 2289 = 3*f. Is f a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3)*-1 + -1*(-1 + sqrt(3)))**2.\nAnswer: -6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c7 + d?\nAnswer: -1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*r + 84 + 169 + 167 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 99003?\nAnswer: -7\/99003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 128*z - 9. Let k(s) = -137*s + 7. Determine -3*c(p) - 4*k(p).\nAnswer: 164*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16013, -4, 0, -5 in ascending order.\nAnswer: -5, -4, 0, 2, 16013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 7*u**2 - 7*u - 8. Let m be d(-8). Let f be 78\/(-8)*m\/6. What is the greatest common divisor of f and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-26 - (-19 + 8)) + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 1, 3, 18.5 in ascending order.\nAnswer: -2\/11, 1, 3, 18.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14811.8958 + 14809. Let o = t + -0.1042. Which is the second smallest value? (a) 0 (b) o (c) 0.5 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558457.3 rounded to the nearest ten thousand?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-8) - -6)*(-1 - -2). Suppose -r*y + 12 = -3*y. Suppose -350 = 4*a + 5*j - 974, j = y. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38574\/15001)\/(34\/(-28) - -1)*-6?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 - 28*r + 28. Determine k(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11765119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.17666cm in micrometers?\nAnswer: 921766.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -129991224 divided by -2?\nAnswer: 64995612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 10*f - 4. Let y(m) be the first derivative of 2\/15*m**3 + 1\/10*m**f + 1 - 2\/5*m - 1\/5*m**2. Factor y(i).\nAnswer: 2*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219*z - 15541*z**2 + 15329*z**2 + 1786*z wrt z?\nAnswer: -424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1945352675 to the nearest integer?\nAnswer: 44106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 313404 and 468?\nAnswer: 940212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3 + 7532\/(-2513)). Let u = 853 - z. What are the prime factors of u?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2363 and 0.5?\nAnswer: 1181.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(2\/1) - 4. Let s be 0 + z - (2 - 4). Let y = -2 - s. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 2*b - 3. Let p(k) = 3*k**2 - k - 3. Let s(z) = 4*h(z) - 5*p(z). Suppose -5*g + 5*y - 15 = 0, -2*g - 30 = -7*g - 4*y. Determine s(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374443 is divided by 452.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228 - 102. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + -26 + 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 + 61*w**2 + 26*w - 121. Calculate a(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 15 = 28*s + 3*g, -g = 0. Solve 8 = -4*f - s*n, -2*f + 13 = 5*n + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97 - 115) + -25 + -5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15959 - -499. Let b = k + 8460. Round b to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/868? (a) 3 (b) -24 (c) 0 (d) -1.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 19395.\nAnswer: 232740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2480 is divided by 96?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4007832 and 49\/24046992?\nAnswer: 24046992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1400763 and 11\/15393.\nAnswer: 1400763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-3)*14\/(-4). Let l = c + -3. Let q = l + -9. Solve 0*n - q = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - (-10)\/(-4). Let x be (-3)\/g*2\/8. Let v = 0.132 - -0.068. Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790187270?\nAnswer: 2, 3, 5, 11, 31, 127, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255\/102 - 13*15\/(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biibzibzzzbbizz. What is prob of sequence bb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r + 3296552 = -23*r + 64*r. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18877, 18881, 18887, 18895, 18905?\nAnswer: 18917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233 (base 7) to base 5.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 48 = 4*p - 5, -3*d = 5*p + 41 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 24*p**2 + 79*p**2.\nAnswer: 93*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81316 = 598045*k - 597344*k for k.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.3902 plus 0.32458358?\nAnswer: 29.71478358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -2)\/(11\/31394). Suppose -g = 4*d - 98970. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2*c - c)*(-1 + 11 - 1) as r + d*c and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 59*b = 182. Find the second derivative of 39*x**3 - 2206*x + b*x**3 + 2263*x wrt x.\nAnswer: 276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 242*v**3 - 115*v**2 - 117*v - 2. Determine z(-1).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.26 and 0.28911.\nAnswer: 0.02911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {z: 5, p: 2, w: 2, l: 4, b: 1, q: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2, 4, 7\/5, -10\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 62 - 28 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 314. Let q(j) = -7*j. Let c(o) be the first derivative of -4*o**2 + 54. Let w(r) = -5*c(r) + 6*q(r). What is p(w(k))?\nAnswer: 4*k**2 + 314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 13) to base 7.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004683536 to 5 decimal places.\nAnswer: 0.00468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:07 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22336 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = y - 36, 5*x = 5*y - 150. Suppose -s + 5*c = y, 4*c + 12 - 115 = 3*s. Does -39 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:43 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 + 2*w + 2*w**2 - 2*w**2 + 2 - w**3. Suppose 11*z + 72 = -13*z. What is the remainder when j(z) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 - 4)*(1261*u + 1422*u + 770*u + (-4 + 3 + 3)*(-5*u + 0*u + 3*u) - u + 2*u + u + 0*u - u - 2*u + 2*u - 4 + 4)*(-2*u - 2*u + 3*u).\nAnswer: 6900*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -31. Let r = 34157592 - 34157571.999981. Let x = r + n. Round x to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2349396155 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5389186 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -270*m**2. Let c(y) = -5*y. What is c(k(q))?\nAnswer: 1350*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 572.37494 to the nearest ten.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1 - (-7 + 2)) + 10. Let d be (7 + -7 + -50)*p*20. Round d to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((10 - 10) + -1 + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7967, -16047, -23851, -31241, -38079?\n\"Answer: 23*l**3 - 8241*l + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 2. Let d(l) = 5*l + 26. Let m be d(-6). Let y be j(m). Let c be (16\/(-2) + 3)*y\/2. Solve -2*t - 4 = -5*p, -c*t - 8 = -t + 4*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 159127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -24\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 23*j**2 - 11*j + 14. Let q be d(-12). Let f(p) = 138*p - 5. What is the hundreds digit of f(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1800\/111150)\/(20\/78)?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -5*x + 3113. List the prime factors of x.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-618)\/(-4)*5*60\/(-12600)*7\nAnswer: -103\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 + 57 + (1528 - 0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = 8. Let t be 8\/(-4) + i + 2. Suppose 0 = 2*j, 0 = -4*m - t*j + 4. Calculate the greatest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c*n**2*z**2 - 2*c*n**2*z + 3*c*n**2 + 7*c*n*z**2 - 2*c*z + 2*n**2*z**2 + 55*n**2*z wrt z.\nAnswer: 14*c*n**2 + 14*c*n + 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621, -1245, -1869, -2493?\nAnswer: -3117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 135 + 132 - 264 + 349*q**2 in the form n*q**2 + o + h*q and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 c when four letters picked without replacement from {g: 4, u: 2, c: 3, f: 2, r: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28*-1*(-1)\/4 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 - -63. Let d be (2\/(-4))\/(1\/(-74)). Suppose d + n = 4*m. Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/4)\/(97\/(3201\/198))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 4*p**2 - 7*p - 96. Calculate c(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(10\/(-8)). Let r = 3.038037 + -0.038037. What is the fourth smallest value in -0.1, 5, u, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14502\/119 and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 746928 by -186732.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 153, 368, 663, 1032, 1469, 1968?\nAnswer: 2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -240, -792, -1866, -3636, -6276?\n\"Answer: -29*o**3 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.54145203 and 1422.\nAnswer: 1421.45854797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 235\/(-50) - 1\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-248)\/(-1240))\/(6\/((-1050)\/(-77))).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40625?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9211*q**2 + 14094*q**2 + 14698*q**2.\nAnswer: 19581*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 4*q**2 + 4*q. Let x be u(-3). Let c = -17 - x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 23*x + 9. Suppose 25 = 5*b + 75. Let y be o(b). Calculate the greatest common divisor of y and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let w = 1\/103 - 314\/515. What is the second biggest value in w, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wllf when four letters picked without replacement from llwrrkrflkrflrr?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -10, 35, 98?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1.5, -3, -1\/12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -2\/15 (b) -25\/36 (c) -1\/219 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 11. Let t be m(-15). Find the third derivative of -r**t + 182*r**6 + 0*r**4 - 170*r**6 - 24*r**2 wrt r.\nAnswer: 1440*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 8) to base 14\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)*i)**(-8\/11)*i*i**(-6)*i*i**(3\/5) assuming i is positive.\nAnswer: i**(-247\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.0058827.\nAnswer: -0.0235308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -39, -85, -147, -225, -319?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p - x + 16 = 0, 0 = 3*x + 12. Suppose h = 2*u - 4, 4*h - h = 3*u. Put -3, u, -4, p in increasing order.\nAnswer: -4, -3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**4\/12 + q**3\/6 + 4*q**2 - 3*q. Let s be w(0). Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 21*r**2 - 52*r - 136. Let k be w(-23). Let h be 2\/6 - 5\/(-3). What is the greatest common factor of h and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15039094751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12e - -3?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 10011?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2 + 4 + -3*sqrt(17)*3)*-5.\nAnswer: -20 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + -11 - (-345 - -334)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239 - 1110*s + 9095*s + 239 + 1951*s to the form o*s + n and give o.\nAnswer: 9936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 76 = 5*m, o - 6*m + 11*m + 44 = 0. Let d be (-8)\/o*(-2 - -8). Let u = -0.4 + 0.6. What is the closest to 0 in -3, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 27. Suppose -2*r = f + 16, -2*f + 0*r + h*r = 4. Which is the third smallest value? (a) f (b) -2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/40 and 51\/134384.\nAnswer: 671920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 662*r**6 + r**2 - 252*r wrt r?\nAnswer: 79440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -28*g - 8. Suppose 0 = d + 4*u - 247, -g*d + 0*u - 2*u = -1058. What are the prime factors of d?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2016\/55 + -548\/15. What is the closest to 0.3 in 0.5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(3570\/60))\/(-3*(-2)\/(-399)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6746, 13756, 20764, 27770, 34774, 41776, 48776?\nAnswer: 55774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30673681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 + -114. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6009 divided by -2003\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 7 = u + 2*u, -3*l + 31 = 5*u. Let z = l - 0. Let w be (-2 + z)*(-4)\/12. Solve -x + 2 + w = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*c**4\/4 + 1127*c**3\/8 - 6209*c**2\/8 - 4567*c\/4 + 4305 = 0. Calculate c.\nAnswer: -5\/2, 2, 7, 492\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 16 = 4*n + n, 4 = -4*f. Let d = 108 + -115. Let x be 2\/d + (-876)\/168 + 4. What is the nearest to n in -2, 5, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*a - m + 64, 72 = 3*a + 3*m. Suppose -9*w - 1890 = -54*w. What is the lowest common multiple of a and w?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/25)\/((-81)\/135)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l - 18 = -56*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -60.25 - 0.45358\nAnswer: -60.70358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from batataaaybtaaabaaya?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36278 and 18?\nAnswer: 326502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 0.144.\nAnswer: 1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = -3*k + 40, 3*j = 5*k - 73. What is the smallest common multiple of k and 7\/(14\/10) + 15?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.25 rounded to the nearest 10?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -2 - -3) + 10. Let o = -20 + j. Let k be -2*o\/4 - -1. Sort 5, k, -1.\nAnswer: -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -142, -141, -140, -139, -138?\n\"Answer: k - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3691721 divided by 109\nAnswer: 33869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/343914307 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/6)\/(12\/1854). Let a = r - -96. Calculate the remainder when a is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2128*j - 40478. Calculate a(-19).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100661 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1430 (b) 0.043 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*t**3 + 22*t**2 + 73*t - 168?\nAnswer: 654*t + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2642)\/(-28)*2 - (-10)\/35. Let r = -400 + p. Let s = -133 - r. Is s a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881.0494 decades to years.\nAnswer: 8810.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q + 78 = -147 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 62 = 0, -6*f + 2*f - 10 + 1 + 2 = 8*r - 3*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/844 and 97\/5064.\nAnswer: 5064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13254761.5 plus 362552?\nAnswer: -12892209.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 27, 60, 107, 168?\n\"Answer: 7*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113\/3 - 112\/3. Let j = 5127\/35 - 701\/5. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1023*h**3 - 7610*h**2 - 17926505 wrt h?\nAnswer: 3069*h**2 - 15220*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)\/sqrt(125))\/sqrt(5) - (sqrt(21)\/sqrt(3)*3 - (sqrt(847) + 1 - sqrt(7))))**2.\nAnswer: 72*sqrt(7)\/5 + 9097\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 1 - 20)*(-3*l + 3*l - 5 + 2*l**5).\nAnswer: -100*l**5 + 250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 + -153. Let t(u) = u**3 - 37*u**2 + 69*u + 35. Let z be t(b). Let z*g**3 + 4\/7*g + 2\/7*g**4 + 0 - 6\/7*g**2 = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 153 = -5. What is the remainder when 3*f*5\/10 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (7 + -2 + -2). Suppose -4*n + 9*n - 30 = 0. Let u be (n*-1)\/(-3) - 0. Sort 5, u, k in decreasing order.\nAnswer: 5, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -7. Is p less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*v + 228*v + 68640 = 0. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p - p)*(-2 - 3 + 3) + 719*p + 374*p + 382*p - 171*p + 387*p.\nAnswer: 1693*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m - 17. Let b(w) = -2*w**3 - w**2 + w - 1. Let g be b(1). Let u be n(g). What is the closest to u in -1, -14, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/u**(-2\/3)*u)))*u**(2\/13))**37 assuming u is positive.\nAnswer: u**(-2183\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1677577 and 9?\nAnswer: 15098193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(17\/4)*c**(2\/9)*((c*c\/(c\/c**(-1\/4)))\/c*c*c)**(-1\/30) assuming c is positive.\nAnswer: c**(-1111\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 1 + 2*w**2 - 3 - w**3 + w + 3. Let j be z(1). Let c be 6\/(12\/(-14)) - -4*2. Are j and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.0786 + -4.1. Let w = o - -0.01683. Round w to 4 decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 59.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 1, h: 5}. Give prob of sequence wk.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 24 = 27. Let g = l + 26. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9fbfa (base 16) to base 4\nAnswer: 2133233322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*n = 20 + 16, 69 = -5*g - 4*n. Let i be (0 - 3) + 3 - (g + 0). Let u = -101 - -244. Calculate the greatest common divisor of u and i.\nAnswer: 13","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 {f: 2, h: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 100 = 20*w, 2*o - 4*w + 294952 = 294972 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -100, 298, 838?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 490 = -18. Let i be o*(0 + -3 - -12). What is the common denominator of (4\/(-18))\/(12\/i) and -131\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337*i**3 + 4*i + 17?\nAnswer: -2022*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 96214831 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 277736483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1261113)\/17250)\/(-49) + 6\/(-4).\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 3*i - 281253 = 82157. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 2*u**2 - 2*u - 1. Let q be k(-1). Suppose 1 = -4*s + 2*p + 7, -5 = -5*p. Let x(m) = m + s + 5 - 6. Determine x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 3, d: 4, l: 10}. What is prob of sequence udy?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = 3*z - 2283, 3*z - 3040 = -4*x. Suppose -3*t - 6 = 0, 0 = 2*s + 5*t - 75 - x. Let y = -234 + s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - q + 2)*(-2 + 8 - 3)*(13245 + 14052 - 25821).\nAnswer: -4428*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*b**3 - 81*b**3 - 9*b**2 - 83*b**3 - 84*b**3 - 4 as p + g*b**2 + t*b**3 + f*b and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2 - 17 = -2*y, 21 = 5*y + 2*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3332, 6655, 9980, 13307?\n\"Answer: j**2 + 3320*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 12 = s + 3*p, 9 = -3*s + 3*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -10. Suppose -h + 4 = 4*w - a, -4*h - 7 = -5*w. Suppose 0 = 3*s - d + 1, -5*s - 1 - 1 = -h*d. Which is smaller: s or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 21 = b. Suppose 2*y = y + 5*o - 33, -4*y - 57 = -5*o. Is y <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -4bb82?\nAnswer: 4bb81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.04766349 - 0.04704349. Let f = 49.05 - 1.05. Let v = f - i. What is v rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 190 = 80. What is the remainder when 117 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahaahghhahh. What is prob of sequence hha?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61\/6 - 19\/2. Which is the nearest to 1? (a) -1\/2 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + u - 1, r + 2 = 3*u - u. Calculate the remainder when 17 is divided by (r - 2)\/((-4)\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*p - 32, -3*p - 64*n = -65*n - 16 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.6 + -7. Let r = 3.4 - 4. Which is the third biggest value? (a) v (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**2\/2 + 14*o + 4. Let n be i(-10). Suppose -4*c + n*t + 129 = -115, 3*c + 4*t = 176. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66920857 to the power of 1\/2, to the nearest integer?\nAnswer: 8181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -20\/7*t**4 + 60\/7*t**2 - 12\/7 - 22\/7*t - 6\/7*t**3 = 0.\nAnswer: -2, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 4*d = 2*p + 27, -6 = -4*p - 2*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3276138 divided by 1092046\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n + 86. Let a be m(-15). Let r = 441\/5 - 88. What is the biggest value in 6\/5, a, r, -0.5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117.4074 and -56.\nAnswer: 6574.8144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 18*k + 72. Let q be (9\/6)\/(1 + 15\/k). Is ((-2)\/q)\/(2\/(-248)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -664.57418.\nAnswer: -664.67418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i**2 + 2. Let p(b) = -7686 + 3843 - 75*b + 3843. Determine p(s(c)).\nAnswer: 825*c**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4344 = 2*l + 18518. Let o = -28554296 + 513849715\/18. Let w = l - o. What is the common denominator of w and 125\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by 5531?\nAnswer: 109\/5531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 40 = -5*t, 6*o + 10 = -4*t + 8*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.980929182 and 3.\nAnswer: -10.980929182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280*b**2 - 2*b - 3 - 391*b**2 + 0 - 3 - 308*b**2 to the form x*b**2 + k + g*b and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 504700606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**6\/5 - 5*g**3\/6 + 9*g**2 + 243*g. What is the derivative of w(k) wrt k?\nAnswer: 24*k**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 58. Let j be (-3)\/6 + o\/4. Let t = 14 + j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ese when three letters picked without replacement from eslldee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-16)*2 + 2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, h: 5}. What is prob of picking 2 c and 1 h?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 2288*u\/5 + 36096\/5.\nAnswer: 2*(u + 16)*(u + 1128)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 55, 110, 201, 340, 539, 810?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*r - 2*h, -11*r - 4*h + 77 = -8*r. What is the tens digit of 4\/(-2) - (12\/(-6) - r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -18.5. Let k = -15 + 25. Let o = k - i. Sort o, 0.3, 2 in decreasing order.\nAnswer: 2, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1523 is divided by 187.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55020*c**3 + c**2 - 730 wrt c.\nAnswer: -330120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -6 (c) 0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5 = -a, -5*a + 1670*c - 1358*c = 1585 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*c - 416 + 161. Solve -13*y + c*y = 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -201?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91447786 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 9*o = 2*v - 19, -1 = -2*o + v. Suppose -h - o*h = -6188. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.14 (b) 2 (c) -4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95574701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c. Let i be k(-6). Let r = i - 3. Suppose -15*u + 6 = -45 + 6. Solve u = -3*j + 3*q - 9, 2*q = r*j + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5)*(12 - 9)*-45. Suppose -96 = s*a - 21*a. Let g = 32 - a. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*g**3\/5 + 188*g**2\/5 - 736*g\/5 + 192.\nAnswer: -4*(g - 4)**2*(4*g - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.441 and -548916.\nAnswer: -548901.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37133 + -39.61887. Let v = -24 + 64. Let f = v + m. What is f rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3 + z - 4 + 0. Let j(v) be the first derivative of -2*v**3\/3 + v**2 - 2*v + 4. Let b(o) = -2*g(o) + j(o). Let b(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8060733\/6095 - -90917\/69. Let l = 3\/265 + i. Calculate the common denominator of l and (-164)\/30*((-6)\/(-8) - 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 718 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 - 10*j - 24. Let u(b) = b**2 + 10*b + 19. Let w be u(-5). Let x be h(w). Solve 6*n - 24 = -x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*(sqrt(153) - (sqrt(153) - 1*sqrt(153))) - sqrt(153)))\/(3*sqrt(729)*-4).\nAnswer: -5*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1040 divided by -5\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105535 (base 6) in base 11?\nAnswer: -38950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and -115.36?\nAnswer: 20.7648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 25 + 22*o**2 as g*o**2 + y*o + k and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 109 = -99. Calculate the remainder when 24 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/17 - (61165\/(-153) + 6\/(-54)) is divided by 61.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -667 + 654. Which is the closest to g? (a) 0.3 (b) -0.2 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 6c6?\nAnswer: 6cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 4*o**2 + 3*o - 4. Let m be j(3). Let d be (-44)\/8 + (-2)\/m. Put d, 2, 3\/7 in ascending order.\nAnswer: d, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1944, 3884, 5824, 7764?\nAnswer: 9704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*b = -d + 930, 5*d + 30 = 1389*b - 1394*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 2. Let t(p) = 4*p - 3. Let n(g) = g. Let o(h) = 3*n(h) - t(h). Let m be 4*(-1 + (2 - 0)). Suppose 0 = 2*s + 2 + m. Calculate s*o(d) + 4*i(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/12*(-1 + 1). Let z be i\/2*(4 + -3). Suppose l + 0*l - 35 = z. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5\/8, 5.\nAnswer: -5\/8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 736 = 4*v - 2681, 0 = -f + 2*v + 625. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -13 - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*x**2 - 65*x**2 - 49*x**2 + 178*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*p - 17, 2*p - 3*z - 17 = 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 583.8 - 564. Let v = w + -18.8. What is the biggest value in -6\/11, 4\/3, 2\/3, v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 101*m**7\/210 + 95*m**3\/6 + 7*m**2. What is the derivative of i(a) wrt a?\nAnswer: 404*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 15*r**2\/2 + 121*r - 61. Let t be k(-8). Let p(n) = 3*n**3 + n**3 + 0 - n**2 + 1. Calculate p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 278316*m + 2504520.\nAnswer: 4*(m - 69570)*(m - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60*g**3 + 79*g**2 - 2*g**3 - 80*g**2)*(-2*g + 3*g - 2*g) as k*g**3 + t + h*g + i*g**2 + c*g**4 and give c.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1 - 62*p + 64*p + 1. Let f(z) = z**2 + 7*z + 7. Let m be f(-6). Let g be h(m). Solve -10 = -4*r + g*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42853 is divided by 41624?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 9. Let m be 1 + 1 - (w + 2). Suppose -12 - m = 5*a, o = -2*a + 43. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*-83243.\nAnswer: -17481.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 6. Let g(i) = -i + 3. Let m(c) = 5*g(c) - 3*w(c). Let q be m(7). Suppose -3*u + 5 = 4*y - 3, -u = -2*y + q. Put 3, -12, u in descending order.\nAnswer: 3, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/2, -0.1, -4 in decreasing order.\nAnswer: -0.1, -1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3861 - -3856. Put 2\/7, -1.6, -4, v in descending order.\nAnswer: 2\/7, -1.6, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:18 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/40 - 5*g**5\/24 + 23*g**4\/48 - g**3\/2 - 3*g**2. Determine t, given that k(t) = 0.\nAnswer: 1\/2, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47262121 and 3505?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 11:16 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 x when four letters picked without replacement from xllxxxlxxxlxlxlxxxx?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1)*(-3)\/24. Solve -l = -3*n - 4*l + 21, 4*n + 2*l - 24 = z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 57318868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 6*w**2 - 9*w - 50. Let a be l(-6). Suppose -1\/7*h**a + 0 - 3\/7*h**2 + 3\/7*h**3 + 1\/7*h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 + 38*i**2 - 49*i + 18. Let b be l(11). Let j(n) = 14*n**2 - 3*n + 1. Let m be j(-2). What is the highest common divisor of b and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2, -2\/23, -2\/9?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/487479 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 2:24 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*n + 25 = -265*n. Solve 4*v + 2*p + n + 3 = 0, 5*v + 8 = -2*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31930339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -16, -30, -60, -112?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -79. Solve 2*r = -r - u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 - 1526?\nAnswer: -1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - u**2 + 2*u. Let x be n(-2). Suppose f = -x + 11. What is the highest common factor of 55 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + 15521\/85. Let u(g) = -183*g**2 - 4*g - r*g**2 + 371*g**2. Let s(i) = 2 - i + 3*i**2 - 2 - 2*i**2. What is 20*s(o) - 5*u(o)?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 7*m + m)*(-32 + 35 + 42) - 8*m - 37*m + 8*m.\nAnswer: -127*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o**2 - 5*o + 4. Let s be q(5). Let z = 1415 - s. Suppose -737 = -14*b + z. What is the least common multiple of b and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 50*o**2 + 4*o - 4. Let m(a) = 162*a**2 + 12*a - 13. Let w(i) = -13*h(i) + 4*m(i). Let d(g) = -2*g**2 - 4*g. Let q = 5 - 10. Give q*d(x) + 4*w(x).\nAnswer: 2*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 7249 in descending order.\nAnswer: 7249, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/9 - 56\/(-12). Suppose 4*l = z - 2*z - 3, -5*z - i*l = 0. What is the tens digit of -1 + -2 + (23 - z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**16\/(u**(1\/9)*u*u) assuming u is positive.\nAnswer: u**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -135?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188737 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3331884 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 + 22 = 3*s. Let i = s - -12. What is the tens digit of (-16)\/(-10)*i\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 318*j + 5. Let q be h(0). Solve 0 = -2*d + 6, q*n = 8*n - 3*d + 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22932834.66 to the nearest 100000.\nAnswer: -22900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5*(-6562)\/(-51))\/(14\/(-6)). Is 276 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.01 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 14*g + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 + 44*d**2 - 156*d + 180 = 0. What is d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 + (-11)\/(-6). Let m = -36 + 51. Let o = 15.1 - m. Sort -0.2, o, w in ascending order.\nAnswer: -0.2, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + (-22)\/(-22). What is the second derivative of 70*n**f + 277*n + 11 - 95*n - 94*n - 89*n wrt n?\nAnswer: 840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 1 + 14. Solve f = -5*o - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 - 6*i**3 - 18*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r*r**2)\/r)\/r))**(-1\/24)*r**(4\/7)*r**(-3\/2)*r assuming r is positive.\nAnswer: r**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1554 - -1547.03. Let j = u + 7. Round j to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) -4\/73 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19\/1711 + -39193\/1709289. What is the common denominator of 119\/222 and z?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Which is the second smallest value? (a) -0.5 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*a - 42*a + 22*a**2)*(-590*a - 888*a - 135*a) to s*a + d*a**2 + i + z*a**3 and give z.\nAnswer: -35486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f + 9. Let a(p) = -p - 3. Let s(v) = v. Let u be s(7). Give u*a(b) + 2*x(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -41. Sort 3, -4, x in decreasing order.\nAnswer: x, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-10))\/((-3)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15262 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 2*l + 2. Let u(r) = -8*r**2 + 34*r - 31. Let a(g) = -11*g**2 + 45*g - 41. Let n(v) = -7*a(v) + 9*u(v). Determine -4*n(t) + 18*w(t).\nAnswer: -2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -80270.64 rounded to the nearest one hundred?\nAnswer: -80300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4968147528?\nAnswer: 2, 3, 29, 149, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*r - 177*r = -18*a - 15, -r = -a - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(2299) + 3*sqrt(2299) + 3) - (2 + sqrt(2299) + -1 - (sqrt(2299)*1 + -3)))*3)**2.\nAnswer: -792*sqrt(19) + 331065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -51*j**5\/20 + 15*j**4\/2 - 9*j**3\/2 - 6*j**2 + 1329*j. Suppose k(p) = 0. Calculate p.\nAnswer: -4\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*r + 302 = 282, -z = -4*r + 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 229422597 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -30. Suppose h + y = 13. Let o(r) = r - 11. Calculate o(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - x + 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + 24\/27. Let x = -51\/5 - -199\/20. Which is the third biggest value? (a) x (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a microgram in nanograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-208)\/39 + 4\/(-6). Let r(v) = -30*v**2 - 44*v - 17. Let y(m) = -14*m**2 - 21*m - 8. Let h(k) = 6*r(k) - 13*y(k). Calculate h(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9932241\/5 less than or equal to 1986447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from euuueuuurru?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -5*n + 36. Let v be ((-9 - -7) + n\/(-8))*-4. Solve -2*x - y + 1 = 0, -x + 5*x + 33 = v*y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(48*h + 17*h + 29*h).\nAnswer: 94*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 5*s. Let g be i(-5). Let p = 2 + -2.5. Which is the closest to 0? (a) g (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 6)\/((-1)\/((-12)\/(-18))). Solve g*u - 5*u = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1218 and 17226.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 134046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:04 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 2563?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399553 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80556 and 24112?\nAnswer: 3544464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = s + 5*g - 193, 2*g - 69 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -210.58 and 58.7.\nAnswer: -151.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -21*y - 26. Let x(j) be the first derivative of -5*j**2 - 12*j - 14. Let c(n) = 6*v(n) - 13*x(n). Let p(r) = -15*r**2. Calculate c(p(i)).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76023.\nAnswer: 3, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f + 8. Let z(l) = -16*l - 11. Let o(g) = -3*g - 2. Let r(m) = -11*o(m) + 2*z(m). Give r(h(t)).\nAnswer: -6*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11224 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 3*o + o)*(0*o**2 - 2*o**3 + 0*o**2) + 9*o**4 + 15*o**4 - 5*o**4.\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2049 - -851. Calculate the highest common factor of 100 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -0.07?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 6. Determine c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 728 and 24101532.\nAnswer: 48203064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*8\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n - 5. Let k be h(4). Let x be 1*(-8 - -5) + 8\/1 - 26. Is x > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:28 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l + 7. Let g be v(-2). Let w(c) = -2*c - 14. Let o be w(g). Solve -4*y + 2*y = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmrrcrcmmmmrrrmrr. Give prob of picking 1 m and 2 c.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**4 - 4 + 4 + (-3 + 2*p**3 + 3)*(35*p - 20*p - 21*p) as v*p**3 + h*p**2 + j + l*p**4 + m*p and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s. Let d be ((-18)\/4)\/((-12)\/16). Let x(c) be the second derivative of 1\/3*c**4 + c**3 + 0 + c + 0*c**2. Give d*u(i) + x(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2681*a - d - 2 = 2678*a, 2*d = -4*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:52 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22609343469 take away -0.1?\nAnswer: -22609343468.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/330 and 9\/5?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyayamyyayyamyay. What is prob of sequence ya?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 208216 + 2*d + 95877 + 112339.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 1115018912.\nAnswer: 1115018912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/25, 0.04, 2\/5, -0.5 in ascending order.\nAnswer: -0.5, -12\/25, 0.04, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(405) + (sqrt(405) - (-1 + sqrt(405))) + sqrt(405) + (4 + 0 + sqrt(405) + sqrt(405) - sqrt(405)) + 2 + 3 + sqrt(405) + -4))**2.\nAnswer: 3456*sqrt(5) + 103824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*q - 1946 + 430 - 473 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -512\/9 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 177456*o**6 - 814*o**2 - 2*o - 1 wrt o.\nAnswer: 21294720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12280 divided by -3070?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (18073 - 18073 - 73*k)*(3 - 2 - 2) - 6*k + 7*k - 2*k in the form d*k + g and give d.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 41. Let z be (-4)\/10 - (-522)\/5. What is the greatest common divisor of z and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 3*y**2 + 2*y**2)*(-1 + 1 - 4)*(-3 - 2 + 4)*(-1 - 1 + 1).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let p be f(2). Suppose -3*r - 19 = -p*a, -3*a + 21 = -3*r - 0. Let q(i) = i**a + 0*i**2 + 2*i**2. Let w(o) = -2*o. What is w(q(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 4355412?\nAnswer: 21777060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, -2\/15, -6, -1\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 8:38 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/23 + 136*y**2\/23 + 266*y\/23 + 132\/23 = 0.\nAnswer: -66, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 24*a**3 + 2*a + a**3.\nAnswer: 29*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0*k**3 + 15*k + 0 - 49\/2*k**2 + 0*k**5 + 1\/15*k**6 - 3\/2*k**4. Find the first derivative of x(p) wrt p.\nAnswer: 8*p**3 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203890598 take away -52?\nAnswer: 203890650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61353 is divided by 2927?\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*c + 156, 4*z - 31354 + 31621 = -5*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -307.7 + 332. Let m = u + -24. Let r = -0.8 - -1. Sort -1, r, m in ascending order.\nAnswer: -1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/23 - -373\/230. Calculate the common denominator of ((-49)\/9)\/((-13)\/(78\/80)) and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2 + 2 + (-20 + 7 + 7)*((-2 + 7 - 3)*(-3*b + 2*b + 3*b) - b + 3*b + 0*b).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q + 4. Let o be 1\/4 - (-42)\/24. Suppose 3*g + 7 + o = 0. Determine u(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/61 (b) 0 (c) -0.3 (d) -0.4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 - 408\/30)\/(2\/10). Let o be 2\/(-6) + 39\/9 + 2. Solve o*g = d - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.18 - 2.1799882. Round m to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12269837 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/478 and 73\/10.\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 10*u + 23. Solve -w + 2 = -u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m - 2*x - 3, -5*m - x + 26 = 0. Suppose 93 = -5*v + 3*y - 122, 113 = -3*v + m*y. What is the third smallest value in v, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3692120 divided by -5\nAnswer: -738424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 + 2*m. Suppose -p + 3*p = 34. Let d = 20 - p. Let c(o) = 11*o**2 - 8*o**d - 7*o**3 + 10*o**3 - 11*o. Determine 11*b(h) + 2*c(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 602910 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 68 = -17*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 - 4073\/10. Sort 0, -2, w, -5.\nAnswer: -5, -2, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386 = -100*c + 300 - 86 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 372 - 324. Find the third derivative of -11*p**2 - 54*p**5 - 2*p + l*p**2 - 5*p**2 wrt p.\nAnswer: -3240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 64010 = 2*i, 2*x + 31985 = i - x. What is i rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 46*z**2 - 57*z - 471. Let s be v(-47). Which is the nearest to 0? (a) s (b) 3 (c) 2\/13 (d) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23695655*q**3 - 2*q**2 + 746254*q - 4.\nAnswer: 142173930*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(168)\/sqrt(4))\/sqrt(6).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7) + 8 + (-2540)\/315?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205 - 124. Suppose 3*c + 2*l - 90 = c, 2*c - n = l. What is the remainder when c is divided by ((-1056)\/(-48))\/(2 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/3)*c*c\/c**(-2\/7)*(c**0)**(1\/18) assuming c is positive.\nAnswer: c**(76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -3\/2 (c) 0.4 (d) -1\/4 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:34 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1499623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -24. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-30 - -2)) + -202 + 192.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-2) - (-245)\/10 is divided by (-2*(-5)\/20)\/((-1)\/(-28))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 - 2*b + 182 + 8*b + 23 as f + n*b and give f.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.329 + 2.21. Let s = 1.395891 + -1.5148804. Let r = h - s. What is r rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/(-18) + 72\/324.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 35*p - 9*p - 8*p - 11*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/2 (c) 4\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28628 and -956829437?\nAnswer: 956800809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -7. Let u = f - -18. Solve -c - 20 = -5*w, c - u = -3*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93020274 to the power of 1\/2, to the nearest integer?\nAnswer: 9645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542934623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8115 - 8115.004347. Round m to five dps.\nAnswer: -0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*((-896)\/420)\/(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 3*b + 2. Calculate the remainder when 9 + ((-12)\/(-4))\/3 is divided by v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1357 divided by -224\nAnswer: 1357\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104) + -3*1*sqrt(104) + sqrt(104) - (-2*sqrt(104)*-6 - sqrt(104)) - -4*sqrt(104)*1*-5)\/(1*-1*sqrt(512) - sqrt(512)*-1*-6).\nAnswer: 31*sqrt(13)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*b**3*v*w - 2*b**3*w + 6*b**2*v*w + 2*b*v*w - 4*b*w wrt b.\nAnswer: 450*v*w - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10384 and 900812?\nAnswer: 3603248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1634338*c + c**3 - 1634338*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 11*m**2 + 8*m + 5. Is 40 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 293604 and 202564.\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 33 - 31 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 44*l**2 - 58*l - 547. Determine x(-45).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 + 9*k - 5*k + 160 + 6148*k**2.\nAnswer: 6148*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 11 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 3*x**8\/140 + 17*x**6\/180 + 5*x**3 - 24. Let f(s) be the third derivative of m(s). Find the third derivative of f(l) wrt l.\nAnswer: 864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 24*r - 191. Let o(h) = -2*h**3 - 22*h**2 + 23*h - 4. Let t be o(-12). Let v be c(t). What is the closest to v in -0.4, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20805 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3.2. Suppose 0 = -o - 0*o - 4*v + 22, 5*v - 15 = 5*o. Which is bigger: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*7\/(-63)*9*(-16)\/360\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.34 and 20.43.\nAnswer: 395.1162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 11. Let p = -12 + 16. Let k = p + -13. Let u(t) = -4*t**2 + 45. Let s(d) = k*i(d) + 2*u(d). Give s(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/((-1)\/5))\/1. Suppose 3*y = -3*p + 90, p + c*y = y + 33. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m + 4. Let w(f) = -f**3 + 2*f**2 + 7*f - 9. What is -14*s(g) - 6*w(g)?\nAnswer: 6*g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 11*m - 8. Let o be i(10). Suppose -o*g = 2*q - 32, 4*q - 78 = -5*g - 16. Factor 3*j - 12*j**3 + j - 3 - q*j**2 - 3*j**4 - 16*j.\nAnswer: -3*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 24 = w - 4*w, -71*f = -5*w - 64*f - 42 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67, -56, -39, -16?\n\"Answer: 3*x**2 + 2*x - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 36. Solve 3*x + 3*y = 0, -2*y = z*x + 2*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k - 404. Calculate h(-39).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -10\/7 (b) -5 (c) -37764 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1261 + 0.2261. Let u = -9.05 - -9. What is the closest to z in u, -0.4, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8912211 and 1463.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 - (-12)\/(68\/(-76) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.1445 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 37 = -2. Let l = h + 3. Suppose 0 = 3*k - 5*f - 28, -f - l = -k - 6*f. Solve -4*n = -k - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-120) + 12*8\/36\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, k: 4}. What is prob of sequence kkkt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 21. Let k(z) = 3*z + 4. Does 17 divide k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148220*d**3 + 21*d**2 - 178 wrt d.\nAnswer: -889320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 k, and 1 f when four letters picked without replacement from {k: 15, f: 3, w: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -107. Let o = y - -8. Let m(j) = o*j - 41*j + 5*j**2. Let p(g) = 4*g**2. What is p(m(n))?\nAnswer: 100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 6*q - 36 = 0. Let i be (-5)\/(15\/(-63)) - q. What is the highest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0846003t?\nAnswer: 84600.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-4)\/(-2) - -1. Calculate the highest common divisor of p and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4594018 or -4594043?\nAnswer: -4594018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/90 equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183259997.\nAnswer: 19, 9645263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*i - 819*i + 452*i - 1402*i.\nAnswer: -1534*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 1. Suppose 2*a - 8 = -2*a. Let c be y(a). Let k be (-1 - c)\/(6\/(-8)). Solve 2*f = -2*f + k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267215380 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 125 = 3*g, m + 3*m = 3*g - 140. Suppose -5*o - 30 = -3*t, 5*o - g = 2*t - 6*t. Calculate the least common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.736 - 0.736. Is -8\/3 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*((sqrt(84) + (sqrt(84)*2 - sqrt(84)))*1)\/(3*sqrt(12)\/sqrt(4)))**2.\nAnswer: 14000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033825 - 0.4.\nAnswer: -0.433825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 1219260?\nAnswer: 1219260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 458439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.038, -9, -0.52, 1, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3081, 3078, 3077, 3078?\nAnswer: 3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -22, 129, 402, 803, 1338?\nAnswer: 2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:27 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*o + 14, -o + 938*g + 19 = 933*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/281 greater than -5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4, 23, -3 in descending order.\nAnswer: 23, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 181966514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 31*a. Let o(l) = 3*l + 26. What is c(o(y))?\nAnswer: 93*y + 806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -15*k**3 + 2*k**2 - 2*k + 1. Let s be l(1). Let n = 25 + s. What is the remainder when 20 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*c - 11, 2*c - 25 = -3*b - 8. Suppose 5*a + 2 = -28. Let f = 7 + a. Put b, f, 4 in ascending order.\nAnswer: f, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 3, -2\/5, 0.4.\nAnswer: -34, -2\/5, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 253 + 2*p**2 - 253. Let l(m) = -3*m**2. Let d(x) = -3*x**2. Let a(y) = 5*d(y) - 4*l(y). Calculate h(a(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = j. Solve g + 5 = -j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (9 - (-2 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 19*g + 209 + 15*g - 10*g**2 - 247. Let v be c(-10). Solve 2 = b - 2*x + 4*x, v*b + x = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -924, -1346, -1768, -2190?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -548 + 549. Let a(w) = -w + 3. Suppose 0 = 5*g - 10. Let n = g - -2. Let p(t) = -1. What is n*p(s) + z*a(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(f - f - 2*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*h**4\/3 - 151*h**3\/3 - 1172*h**2\/3 - 839*h\/3 - 10 = 0 for h.\nAnswer: -5\/4, -1, -2\/53, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (-14 - 25\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21360 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1202455*k**2*w**2 + k**2 + 5351765*w**2 with respect to k.\nAnswer: 2404910*k*w**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -4, 0 in decreasing order.\nAnswer: 108, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 663\/2 - 1327\/4. Which is the nearest to -1? (a) -3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 2*u + 11. Let z be -1*(-2 - (-111)\/15) - 4\/(-10). Calculate a(z).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.2. Let l = -142.6 - -137.6. Sort y, -1\/2, l, 0.3 in increasing order.\nAnswer: l, -1\/2, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.083 - -0.08300678. Round r to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 436?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)*1 - ((sqrt(240)*1)\/sqrt(12) + sqrt(20)))\/(sqrt(324) - (sqrt(324) + sqrt(324)*-1)*-4).\nAnswer: -4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1057 + -682. Let t = 374.9843 - b. What is t rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 5*b + 36 = -14*b - 4*i, -b = -57*i - 338 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.373328 to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464489*x - 464548*x + 1239 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.05, -1\/3 in increasing order.\nAnswer: -3\/4, -1\/3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v + 102. Suppose -v = -5*r + 26. What is the lowest common multiple of r and -4*1\/2*-3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -42*d**4 + 12*d - 44. Let v be 4\/10*50\/5. Let k(s) = 22*s**4 - 6*s + 21. Let a(f) = v*j(f) + 7*k(f). What is the derivative of a(w) wrt w?\nAnswer: -56*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*sqrt(68)\/sqrt(4) - (sqrt(425) - 1*sqrt(425))**2).\nAnswer: 3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73503, 72004, 70505?\nAnswer: 69006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*f**2 + 78*f**2 + 138*f - 112*f.\nAnswer: -2*f**2 + 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**12)\/u**(-10\/3))**(3\/16) assuming u is positive.\nAnswer: u**(49\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -45*b + 220. Let q be s(5). Sort q, -27, 8, -4 in ascending order.\nAnswer: -27, q, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*l - 1302 - 1128 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 2*o**2 + 3*o - 2. Let w(z) = -3*z**2 - 137*z + 70*z - 3 + 71*z. Give -3*f(l) + 2*w(l).\nAnswer: -3*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8806)\/(-2193) - 4)\/((1 - 6)\/15)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 21*j**3 - 48*j**2 - 49*j**2 + 97*j**2.\nAnswer: -21*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*b*v - 95143*b + 16417438*v wrt b?\nAnswer: -24*v - 95143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69852 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 666, 1317, 1968, 2619, 3270?\nAnswer: 3921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 2, j: 4, z: 2, y: 2, r: 9}. What is prob of picking 3 r and 1 l?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0, -12, -41339\/5?\nAnswer: -41339\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.067 - -0.06671. What is n rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c**2 - 2*c)*((0 + 2 - 1)*(-1 - c + 1) - 3*c - 6 + 6).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3\/6 + 19*i**2\/2 + 2*i. Suppose 2*v + 55 = 13*v. Calculate the remainder when u(0) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3*sqrt(32))**2 + sqrt(4)\/sqrt(2) + -3 + -2 + (sqrt(6)\/sqrt(3))**2 + (sqrt(2) + sqrt(6)\/sqrt(3))*-4.\nAnswer: -7*sqrt(2) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93*l**2 + 118*l**2 - 244*l**2)*(14 + 22 - 12) to w*l**2 + p*l + u and give w.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -4, 1.8, -3\/7, -4\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 3*j**2 - 3*j**3 + (-4*j**2 + j**2 + j**2)*(1 - j - 1) + (26 + 29 + 180)*(4*j + 2*j**3 - 4*j).\nAnswer: 469*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -36, 3, 1 in increasing order.\nAnswer: -36, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5) + (-77 - -97 - (3 - 3)) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83734*f**2 - 2*f - 83734*f**2 + 2*f + 45972*f**3.\nAnswer: 45972*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42.38 - 42. Let g = -7.52 - t. What is g rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 34*c + 543. What is d(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - 0 - (-13 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Let a(l) = -8*l - 27310. Determine a(k(c)).\nAnswer: -8*c**2 - 27310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.08 - -2.13. Suppose -3*r + 2*r - 2*m = 3, -3*m = -2*r + 8. Sort r, i, 6.\nAnswer: i, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -73 + -6 + (3 + 1 - (-18 + 10)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 92. Let m be (2\/8)\/(21\/2520). Solve -15*c = -a*c + m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -609 (c) 2\/47 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -498.5 + 425. What is t rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 0)*((-b - 4*b + 0*b)*(1 - 1 - b) - 1 + 1 - 2*b**2 - b**2 + 2 - 2) - 6*b**3 + 20 - 20.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (((-2 + (sqrt(2736) - (1*sqrt(2736) + sqrt(2736))) + sqrt(2736) - (-2*sqrt(2736) + 3 + sqrt(2736))) + 4)*6)**2 + -5.\nAnswer: -864*sqrt(19) + 98525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - b)*(361 - 361 - 4*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + o - 2. Let x(d) = -9*d**2 + 3*d - 3. Let j(g) = 5*k(g) - 2*x(g). What is j(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 7*i + 3. Let g be c(-7). Suppose -8 = -2*h + x, -g*h - 3*x - 10 = x. Factor 3*t**2 + 2*t**3 - 2 + 2*t**2 - 2*t - 3*t**h.\nAnswer: 2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*l**2 + 139*l**2 + 23115948*l - 11557977*l - 11557971*l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -0.1 (b) 299 (c) -1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + (-65)\/25. Let h = 7 + i. Let w = 3 - h. Is w greater than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 232, 981, 2224, 3955, 6168, 8857, 12016?\n\"Answer: -a**3 + 253*a**2 - 3*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/13, -25, -0.1, -1 in ascending order.\nAnswer: -25, -1, -0.5, -0.1, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461388611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13674 by -6.\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6103641 millilitres to litres.\nAnswer: 0.0006103641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3208325111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 6*r**2 + 35*r - 2. Does 34 divide d(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + 102. Let b = q + 0. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/13 - 30352*i**3\/13 + 3285246*i**2\/13 - 9643304*i\/13 + 491416 = 0?\nAnswer: 1, 2, 106, 15067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13942.\nAnswer: 2, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b**(-4)*b\/(b**8*b)*b**(-1\/4))**(4\/29) assuming b is positive.\nAnswer: b**(11\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 2*n**2 - 2*n - 2. Suppose -35*b - 6 = -32*b. Determine m(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 66704999.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 119*p - 8085 = -122*p, -2710 = -h + 2*p. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -882*i + 69. Calculate y(-1).\nAnswer: 951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*k - 2 - 2*k - 6*k)*(25 - 21 + 46).\nAnswer: -1550*k - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -3)*(-6)\/9. Suppose -5*x - 8 = -3*s - v, 3*x = 0. Let w be 30\/s*9\/27. Solve -3*k = 2*b + b + 18, -15 = 4*k - w*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 2*c - 76 + 52, 2*i = -5*c - 39 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 i when four letters picked without replacement from {o: 9, i: 4, t: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**3 - 14*g**2 - 14*g. Let t(p) be the third derivative of -p**6\/60 - p**5\/12 - 5*p**4\/24 + 9*p**2 - 9*p. Give -5*k(m) + 14*t(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162.97 - 162. Let q = -0.9 + i. Let f = q + -0.155. Round f to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1798154?\nAnswer: 2, 347, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 14. Let b = o + -3. Suppose 2*l - b*k = 8 + 17, 4*l + 2*k = 58. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498390.\nAnswer: 2, 3, 5, 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-12))\/((-8)\/(-60)). Suppose 4*u - a - 4*a = 45, 5*u = -3*a + b. Let d(f) = f - 18. Let p be d(17). Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/120 - 7*b**5\/30 + 3*b**4\/4 - 13*b**3\/6 - 19*b**2. What are the prime factors of q(13)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.597 or 7.7?\nAnswer: -0.597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1888 - 104*b + 102*b - 1894 + 2*b - 2*b**2.\nAnswer: -2*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-2)\/4*4. Suppose -3*i = n - 3*n - 16, i = n + f. Calculate the greatest common factor of i and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82.4545316 + -376\nAnswer: -458.4545316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49161*-5.\nAnswer: -245805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242\/5 + -48. Suppose -2*d = 2*d. Are d and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -385 + 450. Let z(w) = -w**3 + 9*w**2 + 7*w + 11. Let s be z(9). Let j = s - k. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99649?\nAnswer: 11, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 57. Let o = g - 9. Suppose -4*d + 2*j = 4, 5*d + 3*j = -j + o. Solve d = -l - 3*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/2*54\/10368*-32?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**2*z**4 - 2183*b**2 - 44*b*z - 2*z**4 wrt z?\nAnswer: -4*b**2*z**3 - 44*b - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*4)**2 - sqrt(11) - (3*sqrt(99))\/sqrt(9) - (((sqrt(132) - 1*sqrt(132)) + sqrt(132))*-5)\/(sqrt(12) - (-1*sqrt(36))\/sqrt(3)).\nAnswer: -3*sqrt(11)\/2 + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*r + 4*y + 9, -3*r = -3*y - 18. Solve -r = -4*t + 3*c, -2*t + 0*t - 4 = -4*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1326.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 31 + 20 = 0. Let d(l) = 7 + 41*l**3 + 0*l + 18*l**2 + 5*l - 40*l**3. What are the prime factors of d(f)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, -58 in increasing order.\nAnswer: -58, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2185*s - 336*s - 513*s + 730*s + 1338*s)*(2*s - 1 + 1).\nAnswer: 6808*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/(2\/3). Let k = 16048 - 32087\/2. Which is the third biggest value? (a) x (b) 4\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 5*y**2 - 3*y - 5. Let r be t(-5). Factor -26*c - 4*c**2 + r*c - 6 - 10.\nAnswer: -4*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/27 (b) 5412 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 28 + 29*t - 62 + 13*t + 31.\nAnswer: 32*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 5*r. Suppose -u = r*u + 3. Suppose -q - 3 = 20*i - 24*i, 5*q + 15 = -4*i. Put 1, -8, i, u in descending order.\nAnswer: 1, i, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 10:10 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*y + 7*y = 2*y + 5*y - 24, -8 = -4*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = -6*o. Suppose o*v + 238 = 985. Suppose 2*s - 87 = 3*a, -4*s - 5*a - 86 = -v. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -57.3816 (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 2\/5, 6\/11, -3 in decreasing order.\nAnswer: 1.7, 6\/11, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*v - 2, -110*v + 105*v + 29 = -3*d. Calculate the least common multiple of 2057 and v.\nAnswer: 20570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -85*g**3\/6 - 115*g**2\/2 + 21*g. Is h(-7) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 592 = -3*z. Let b be (-15*12\/z)\/(3\/70). Suppose 55 = a + 5*d, -91 + b = -a - d. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 2, e: 1, h: 1}. Give prob of picking 1 b and 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = -4. Suppose 0*d + 3*d = 6. Suppose 8*j = 5*h + 5*j - 51, 5*h = -d*j + 41. Calculate the smallest common multiple of f and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - 164\/123*(15\/4 + 0). Let a be 37\/7 - 2\/7. Solve -2*q + 30 = -a*o, -t*o - 2 = -3*q + 33 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*(-81)\/((-9720)\/2800)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -47) + -88 + (-16 - (-4 + -15)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 11. Calculate the greatest common factor of 56 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 143 = 9*p. Let l be ((-2)\/6)\/((-4)\/24*2). Calculate the greatest common divisor of p and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and -26500840207501.\nAnswer: -26500840207501.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -831*h**2 + 21*h - 20*h - 682*h**2 + 57*h**2 in the form c*h + z + x*h**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43512000?\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/240 and -113\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11435423 + 5717714859\/500. Let j = 9\/500 - b. Find the common denominator of j and -93\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 2. Suppose -3*g + 4*n = -36, -5*g + 52 = -5*n - 13. Let i = -23 + g. Let c(s) = s - 1. What is i*c(l) + 3*w(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 8*u**2 - u - 4. Let i = -33 + 41. Let m be s(i). Which is greater: m or -14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -334068, -334006, -333898, -333744, -333544, -333298, -333006?\n\"Answer: 23*z**2 - 7*z - 334084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 42 = 14*x. Let z be (-27)\/(-1 + -2)*x\/9. Find the second derivative of 17*c - 48*c + z*c**2 + 38*c + 40*c wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 38. Suppose w + 7 = 3*h. What are the prime factors of 96\/h - 6\/9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 24 (c) 0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, o: 5, v: 4}. What is prob of picking 2 v?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/72)\/17*3*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3150.5 times 0.1\nAnswer: 315.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 + 2\/(-7). Suppose -39 = 3*p - 2*g, 5*p + 3*g - 147 = -193. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 8*f - 7*f + 27. Let z = 3.9 - 6. Let t = z - -2. What is the biggest value in t, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*x - 5*b, -5*x + 4*b + b - 20 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 + 3*f**2 - 3*f**2)*(0 + 0 + f + 15 - 11*f - 15 + (-2 + 1 + 0)*(2*f - 5 + 5)).\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -111*i**2 - 2*i + 1106. Let f(k) = -112*k**2 - 2*k + 1118. Let j(g) = 4*f(g) - 3*m(g). What is the second derivative of j(w) wrt w?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30423 is divided by 180.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/13)\/k)\/(k\/k**(2\/41)*k) assuming k is positive.\nAnswer: k**(-1696\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001111110101011 (base 2) in base 4?\nAnswer: 301332223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -2\/43, 0.4, 28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -5\/2, -2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 37*s**5\/5 - 7*s**3 + 33. What is the third derivative of a(j) wrt j?\nAnswer: 888*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - 4*m**5 - 2*m**5 - m**5 - 2*m**5 + 2*m**5 + (0*m**2 + 2*m**2 + 0*m**2)*(3*m**2 - 2*m**3 - 3*m**2) - 3*m**5 - 3*m**5 + 4*m**5 + m**5 - m**2 + m**2.\nAnswer: -11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(1053) - sqrt(1053))**2*-1 - ((4*-2*sqrt(1053))**2 - (-4 + (sqrt(1053) + 2 + sqrt(1053))**2)).\nAnswer: -63196 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 2462*o**2 - 8*o + 9848.\nAnswer: 2*(o - 1231)*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*q - 3 = -4, 3*q = r - 7. Let y = -5 + 3. Let h(j) = -j**3 - 2*j**2 - 3*j - 3. Let u be h(y). Is r greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*q = -2*o + 351, -464 = -4*o - 4*q. Let r = o + -52. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-24))\/((-1)\/4). Let u = 14012.85 + -14013.15. Which is the closest to 0.2? (a) -0.13 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1 = 19. Let q = 3 - -70. Let f = q + -366\/5. Which is the nearest to -1? (a) p (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 608\/78 + 1806\/(-3913) + -1 + -3. Suppose -j - 3*t = 2*j - 6, -3*j - 5*t + 4 = 0. Factor -v*m**2 + 0 + 8\/3*m + 2\/3*m**j.\nAnswer: 2*m*(m - 4)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 860 + -89. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (29211\/(-28))\/(-13)*4. Suppose 36 = l + 226. Let h = l + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/28 + 32\/(-14). Let j be 6*d\/9*-3. Let w = j - 9. Let z(a) = a**2 + 5*a - 2. What is z(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 1\/76, 0.087, -1\/2, 2?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115.7 - -0.3. Let d = -116.00049 + l. What is d rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*t = 140, -16*x + 18*t + 48 = -17*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - c + 3. Suppose 0 = -5*b + 21 - 6. Let t be r(b). What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 f when three letters picked without replacement from {s: 1, t: 1, n: 4, f: 4, l: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)*v*(v*v**(-1\/7)\/v)\/v*(v*v**(1\/14))**(3\/11) assuming v is positive.\nAnswer: v**(-285\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 103, 209, 337, 493, 683, 913?\n\"Answer: j**3 + 5*j**2 + 84*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(360) + 4.\nAnswer: sqrt(5)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 43 = -v. What is the remainder when v is divided by (-9)\/(-72)*0 + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/7 + 1207014*o\/7 = 0. What is o?\nAnswer: -402338, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 472773*o**4 - 2*o + 171948 wrt o?\nAnswer: 1891092*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -1)\/(-2) + 6 + 153. Let g = -147 + w. Solve o + 14 = g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*z**5 - 2*z**4 - 11*z**3 + 6665*z**2.\nAnswer: 1680*z**2 - 48*z - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 + 12*d - 8 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 5*d + 3. Let m be b(-5). Suppose k + 1 = -2*q + 3*q, k = m*q - 11. Let -2*a**4 + a**3 - a**2 + 3*a**4 - a**q + 0*a**2 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let x = v - -2. Suppose x*i - 210 = -74. Round i to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 146*p**2 - 294*p + 296. Let n be u(-148). Solve n = 4*h + 10*h + 16*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 5. Let x be o(-10). Let n be ((-2)\/(-1))\/((-2)\/x). Calculate the common denominator of (0 + -2)\/(n\/(-10)) and 55\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -46) + -1 + 3 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 10*g**2 - 2*g - 15. Calculate k(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1325 and -2.\nAnswer: -0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:11 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 5*f**2 - 12*f - 6. What is x(8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0) + -10 + 22. Let n(v) = v**2 + 2*v - 74. Let f be n(i). Calculate the greatest common divisor of 180 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109792, -219584, -329376, -439168?\nAnswer: -548960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0918 - -0.1418. What is the nearest to l in 0.4, 0, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2619, 7630, 12641, 17652, 22663?\n\"Answer: 5011*z - 2392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 - 25 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 13*h**2 + 13*h + 11. Let b = 196 + -208. What is g(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = 10*j. Which is greater: 99 or j?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 j, and 1 m when four letters picked without replacement from {g: 2, w: 1, j: 3, m: 8, n: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 2, n: 2}. What is prob of picking 2 n and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -14.3. Round c to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 3*y**3 + 2878*y**4 - 2883*y**4 - 2*y**2 in the form z + j*y**4 + p*y**3 + u*y**2 + s*y and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/21 + 88*j\/21 + 30\/7 = 0. What is j?\nAnswer: -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.169 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002888 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + d, -5*x + 5*x + 5*d - 14 = d - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = o - 12, 5*t = o + 4*o. Let p(m) be the third derivative of 1\/90*m**5 + 0*m + 2*m**t + 0 + 0*m**3 - 1\/72*m**4. Factor p(v).\nAnswer: v*(2*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, 0 in increasing order.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 81 = -57*j + 39*j - 97, 0 = -3*u - 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 1911*l - 156*l.\nAnswer: 1755*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*k - 186, -23 = -2*m - 5*k - 80. Let a be (20\/(-12))\/(10\/m). Solve 0 = a*t - 8*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 6:57 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffkf when four letters picked without replacement from qqfqgkqqfqdfgdf?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 11*m**2 - 26*m + 16. Let t be i(-13). Is (-12)\/t - 5390\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27347 divided by 27347\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 1\/19, -0.5, 0.4, 22 in decreasing order.\nAnswer: 22, 0.4, 1\/19, -0.09, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -48867\/23 (b) 20 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 1\/3 (c) 31690 (d) -0.95 (e) -4\/9 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/8 - 5)*2\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221346675 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 790387621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461611260 divided by 1247598.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8.15, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153) - (sqrt(153)*-1*-6)**2 - 5*2*sqrt(153)) + 2.\nAnswer: -5503 - 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*x**3 + 1089*x**2.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/3021?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -803\/113? (a) -1\/4 (b) -3 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194588669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5049181 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-146)\/(-16))\/((-5236)\/(-88)) and -26\/5.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**2 + 4*n**2)*(282*n - 575*n + 281*n).\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/3)\/2 + 10. Let i be (-1)\/(-4)*30\/x. Let z = i + -1\/3. What is the third smallest value in 0.3, z, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/12 - (-4836)\/11160)*(-10)\/8. Let p be 0\/(1*3\/(-3)). Which is the smallest value? (a) -2 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 + 18 = 3*z, 12 = -4*a. Let h = 74642 - 74642. Solve z = -b - 4 - h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/16310 and -89\/2975410?\nAnswer: 20827870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/351 + (680\/9)\/(-2). Let r be (-8 - t)*(-16)\/(-6). What is the highest common factor of 720 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 24*t + 18. Calculate h(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (4 + -19 - (-2 + 12 + 12))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x + 5*x - 4*r, x - 7 = -5*r. Suppose -2*l + 2*d = d - 4, 0 = x*d. Solve l*s + 27 = -5*n, 3*s + 0*n - 2 = n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/22 and ((-12)\/(-22))\/((-4)\/(-13))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 (base 14) in base 11?\nAnswer: -3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + x. Solve k + 2 = -j + 8, -x*j + 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155543.031 nanoseconds to weeks.\nAnswer: 0.0000000002571809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86395176 + 40769130. Let d = -127164293.9999886 + v. Let c = d + -12. Round c to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f + -4?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3452*h = 3505*h + 159 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = -9*h. Let q = h - -3. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5688403*j + 5688320*j = -5063 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -20*s + 3. Let f(n) = 43*n - 7. Calculate -3*f(j) - 5*k(j).\nAnswer: -29*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3096)\/80*2 + 2\/5. Let r = y - -82. Solve 0 = 5*s - s + 5*q - 10, 0 = 2*s + r*q - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:55 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 20.2547?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128, -164, -200, -236?\n\"Answer: -36*v - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 1\/8*h**4 - 1\/10*h**5 + 0*h + 68 + 1\/3*h**3 + 0*h**2. Determine m so that n(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 35*t**2 + 983*t + 34. What is d(-28)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13022744 divided by 465098.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1, -0.9103?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(2 - 18\/8). Let r be (-2*s)\/(4\/(-14)). What is the highest common divisor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u**3)*(20 - 20 + 4*u).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3)*k*k)**(9\/5)*k**(1\/4)*k\/(k**(3\/2)*k) assuming k is positive.\nAnswer: k**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/134896 and -27\/67448.\nAnswer: 134896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(15)\/sqrt(5) + sqrt(3) + (sqrt(30) + sqrt(3000))\/sqrt(10))**2 + -4 + (2*(-6*(sqrt(3) - sqrt(192)) + sqrt(3)))**2.\nAnswer: 22331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938531 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 758, 1318, 1878, 2438, 2998?\n\"Answer: 560*v + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 13. Let q be t(5). Let a = q - 8. Let m = a + -9. Sort -5, m, -2 in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 3, g: 9, y: 1, m: 4}. Give prob of picking 1 g, 1 y, and 1 x.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 727222474 + 312*q**2 - 727222474. Let s(p) = 20*p. What is m(s(b))?\nAnswer: 124800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -2 + 0 - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -117*j - 68. Let b(v) = -17*v. Calculate -6*b(r) + m(r).\nAnswer: -15*r - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119\/19 + -2119\/38. Suppose 6*u - u = -5*y - 30, -4*y = 2*u + 20. What is the common denominator of a and (-363)\/(-60) + y\/16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*g + 39*g + 39*g)*(g + g - 2*g + g).\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1649505089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 947978.3 tonnes?\nAnswer: 947978300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 0*d = -7011. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -242790.055 and 4?\nAnswer: 242794.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38824770 or -38824764?\nAnswer: -38824764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 6. Let c = -33363 + 33371. Solve -c + 1 = v*d + 2*h, -2*d = -4*h + 22 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01323 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 12*y + 15 = 0. Let k = -36 - -40.3. Let n = k + -4. Put -4, n, y in descending order.\nAnswer: y, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.6502214 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8 - 7*q - 10 - 4 - 11.\nAnswer: -7*q - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + l + 62 = 0, -o = -l - 122 + 87. Solve 26*u + 209 = o for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/100*100*134. Which is bigger: b or 5358?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/9, 2\/19, -15.7, -3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1468 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*k. Suppose 0 = 2*y - 3 - 5. Suppose 0 = 5*m - 10, 4*m - 6 = y*o + 3*m. Which is the closest to o? (a) -2\/13 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + m**2 - 5*m**2)*(3*m + m + m)*(2*m**2 + 4*m**2 + 6*m**2).\nAnswer: -180*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 11*a + 16. Let t be i(-7). Let c = t + 41. Let k = c + -109. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -21*j**2 + 0 + 0*j + 8\/45*j**3 - 7\/450*j**5 - 1\/180*j**4. Solve o(d) = 0.\nAnswer: -8\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 14976 divided by -12\nAnswer: -1248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 3, m: 2, c: 6, f: 3}. Give prob of picking 3 f and 1 m.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 56, 256, 234.\nAnswer: 0, 56, 234, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 7165\nAnswer: 1\/7165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:40 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 4215 + 3387 = 0. Is -1085 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 - 3*i**4 + 3*i**4 + (-319*i + 210*i + 425*i)*(1 - 2*i**3 - 1) in the form n*i**2 + r*i**4 + z + q*i + l*i**3 and give r.\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.373344 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x - 12. Let o(n) = 12*n + 15. What is 3*a(f) + 4*o(f)?\nAnswer: 3*f + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - 202. What is the closest to z in -4, 2\/3, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3190 and -19\/60.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431001123 (base 5) in base 13?\nAnswer: -a1b0a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1 - (2 + (-32)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1876*o + 49637 - 49637 to n + t*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 213431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, b: 1, s: 1, f: 2}. What is prob of picking 2 f, 1 n, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*l - 6*l**2 + 16*l)*(-4 + l + 4) - 2*l**3 + 2*l**3 + 2*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2101 and 67\/220?\nAnswer: 42020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-928)\/16*(-44)\/638. Put y, 0, 1, -62 in increasing order.\nAnswer: -62, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102830162?\nAnswer: 2, 31, 173, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 93*b**5 + 158003*b**4 + 66229199*b**3 - 750687435*b**2 + 32165100*b = 0?\nAnswer: -855, 0, 4\/93, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156*h*w**2 + 36*h*w + 4*h + 5*w**2 wrt w.\nAnswer: -312*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*z + 44, -4*z + l = -0*z - 28. Suppose 2*v - 22 = -z. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-8) - 119999985\/(-2). Let s be 4\/10 - d\/(-20). Suppose 0*h - s = 3*h. What is h rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 374?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-2)\/(78\/26741)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/37 + 1166165\/(-43105).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-1 + sqrt(119))*-3)\/sqrt(7) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.09953 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4815*f**3 - 3932*f**2.\nAnswer: -28890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1063193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -33*h. Let q = 1167 + -1170. Let g(s) = -s. What is q*g(f) - w(f)?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**5 + 25*b**3 - b**4 - 6*b + 6*b - 19*b**4 - 10*b**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.308 and 184644868068?\nAnswer: 184644868068.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 2, u: 4, y: 3, z: 4, v: 3}. What is prob of picking 3 z and 1 y?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 104*j**4 - 210*j**4 + 104*j**4)*(40 - 34*j - 40).\nAnswer: 68*j**5 - 1190*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1935\/(-86) + 33)\/((-2)\/(-5) - (-249)\/(-60))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1400, 2815, 4230, 5645, 7060?\nAnswer: 8475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-19369.64.\nAnswer: -38739.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203 + 439. Let p = -236.00101 + i. What is p rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(14*5\/175)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -22. Let g(k) = 2*k**2 - 12*k + 8. Let y be g(b). Let r be 99*y\/(-4) + 2\/4. What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9056 by 1173.\nAnswer: 9056\/1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/5)\/(1712\/(-1712)*(-2)\/6)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86\/23 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 99. Suppose -q + 6*q = 3*h - 336, l*h - 4*q = 448. Let c(z) = 8*z**2 + 3*z + 3. What is the remainder when h is divided by c(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.1 + -0.9. Let x = o + 9. Is 0.4 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 10*h = 57. Let z = h + 25. Solve z*m - 2*m - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/13 - 628*r\/13 = 0. What is r?\nAnswer: -314, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*p + 1829 - 1829)*(-2*p**3 + 5*p**3 + 0*p**3) to the form v*p + b + l*p**4 + z*p**2 + m*p**3 and give l.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(912) - ((sqrt(912) - (-2*sqrt(912) + sqrt(912))) + sqrt(912)))\/(-5*(sqrt(432) - 2*sqrt(432)))*5.\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 2*c**3\/3 - 2. Let v(d) = 2*d**2. Let w = 32 + -37. Let k(l) = w*v(l) + 4*y(l). Let i(b) = -4*b. Calculate k(i(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10\/(-2)*(-20)\/((-1800)\/(-59382))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -681 - -70?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) -10.3 (b) -3 (c) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -266672*g**2*q**3 - 103*g*q**2 - q**3 + 519*q**2 wrt g.\nAnswer: -533344*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1580 and 790.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (132\/4)\/(3\/2). Let o = 3 - -4. Suppose -3*p + o*p = 12. Solve -l - 4*x - m = -0*l, -p*l = 2*x + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, j: 8, h: 1, v: 2}. What is prob of sequence jv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 3725 - 20. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5365949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 87846.\nAnswer: 87846.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419741043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5010122 (base 7) to base 11.\nAnswer: -3738a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1753 - -1768. Let h(o) = o + 8. Let g(k) = -k**2 + 6*k - 5. Let n be g(5). Let u be h(n). Solve 3*m = m + 4*q + u, -5*m + a = -5*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/2)\/x)**11\/(x\/x**(1\/3))**25 assuming x is positive.\nAnswer: x**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-7 + -1)*-6 - -1. Find the first derivative of 10 - 21*y + 8 + m wrt y.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10123 - -1314423?\nAnswer: 1330101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.047*-79.\nAnswer: -3.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 50*g**2 + 26*g - 680. Calculate r(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -12. Let k be 2*(-3 - y\/(-2)). Let x = k + 25. Solve x = 4*i + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3620)\/(-6))\/((-64)\/(-96))?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(78) - sqrt(78))*-2 - sqrt(78))*4)\/(sqrt(6) - (sqrt(768)\/sqrt(8) + sqrt(6)) - (sqrt(6) - sqrt(6)*1*2)).\nAnswer: -20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 13)*(-4)\/(-56). Which is greater: -0.0613 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1076, -2243, -3578, -5165, -7088?\n\"Answer: -14*v**3 - 1069*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (sqrt(162) + 4 + sqrt(162))*2 + 4)**2.\nAnswer: 1080*sqrt(2) + 4194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(6)\/sqrt(2) + (sqrt(3) - (3 + sqrt(147))))**2.\nAnswer: -20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from jjyly.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a0a (base 11) in base 16?\nAnswer: -1ec3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 8048*i + 4048144 = 0. What is i?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.0118 (c) 55142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414886467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/((-4)\/30). Sort -2, 2, c in ascending order.\nAnswer: c, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -827, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42\/29, 2\/3, -1.95, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 6480.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*1 + 0 - (1 + sqrt(300) + 1)) + -4 + (3*sqrt(270))\/((sqrt(70)*3 - sqrt(70))\/sqrt(7)).\nAnswer: -6 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 636 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/4 + 29217*s\/4 - 2452567 = 0.\nAnswer: -29549, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {o: 17, z: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27975 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192*l - l**4 + 192*l)*(5 - 10 + 11 + 2*l).\nAnswer: -2*l**5 - 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 6. Let x be t(-7). Let b(p) = -741*p. Let h(i) = -10*i. Let d(o) = 6*b(o) - 442*h(o). List the prime factors of d(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 20*o**3 + 11*o**3 - 2*o)*(-2 - 1 + 4).\nAnswer: -9*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37522.\nAnswer: 2, 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -95, 11, -4, -3 in ascending order.\nAnswer: -95, -8, -4, -3, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 23. Let q(h) = 2*h**2 + h - 22. What is -2*q(p) + 3*t(p)?\nAnswer: 2*p**2 - 2*p - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1455 + -1455.1. Which is smaller: 283 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 34. Give k(-9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18488145983906 and -5.\nAnswer: -18488145983911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/((v\/(v*v**(-17)*v))\/v)*v*v*v\/(v\/(v\/(v*v*v*v**15)*v)) assuming v is positive.\nAnswer: v**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/110056892 and -39\/30811.\nAnswer: 110056892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 10:04 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-10 - -7 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 96 = -56*g. Solve -g*f + 5*m = -37, -2*f + 8 = -m - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035013 to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by (-27)\/(-12) + 7 + 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(220)\/(sqrt(99) - sqrt(11))*-2)**2 + (sqrt(315) - sqrt(315)*3)\/(sqrt(252)*-2 + sqrt(252)).\nAnswer: -19*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13e (base 15) to base 9\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/54) - -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3033*f**2 - 6074*f + 7. Give k(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 28 - 18 - 14*m**2.\nAnswer: -14*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383320 divided by 259.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*t = -47*t - 190665 - 55755. Calculate the highest common factor of 120 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -240? (a) -5 (b) -2\/67 (c) 1 (d) -0.2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30 - -3)*(28 + -34 + (-995)\/(-3))?\nAnswer: 11, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70033167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 11. Suppose 0*r + 2 = c*m + 4*r, 4*m + 2 = -2*r. Is m*(102\/(-4) - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1832, -1886, -1976, -2102, -2264, -2462?\n\"Answer: -18*m**2 - 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 8775 + 9027 = 0 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 1\/3 (c) -74\/45 (d) -16\/31 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3264, -13071, -29420, -52311, -81744, -117719, -160236?\nAnswer: -209295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4398 - 5?\nAnswer: 4393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**8\/110880 + s**6\/3960 + s**5\/15 - 4*s**2. Let i(a) be the third derivative of f(a). Factor i(v).\nAnswer: -2*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*t - 23, 2*z - 3*t - t + 16 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/14 + 2\/7. Suppose 0 = -2*o - 0*o - 2. Calculate the remainder when 1 is divided by 2 - (z - (o + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t - 97. Let u(o) = -24*o - 294. Calculate 10*f(b) - 3*u(b).\nAnswer: 2*b - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112680.\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1331, 1110, 899, 704, 531, 386, 275, 204?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -2*b - 6*z + 9*z, -4*z - 744 = -5*b. Let f(t) = 13*t - 7. Let v be f(-6). Let u = b + v. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 329722570 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = 6. Which is the closest to 0? (a) 1\/7 (b) h (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3 and 87\/25760.\nAnswer: 77280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21517+-250992204\nAnswer: -251013721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.1, 2, -999, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 9:05 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6. Suppose 2*w - 5 + 1 = -2*n, -7 = -n + 4*w. Suppose n = -3*u - 0. Which is the third biggest value? (a) 4\/7 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*v + 28*v - 132*v to z + m*v and give m.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4 + 834*y**3 - 30964*y**2 - 133800*y - 137104 = 0.\nAnswer: -451, -2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/504 and 107\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/14 + 10*3\/12. Let f(g) = -3*g + 2. What is f(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.3 - 5.3. Let d = t - 27.2. What is the fourth biggest value in -2\/3, -5\/4, 0.2, d?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.06 (b) -3 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11249.\nAnswer: 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + 6. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.33 and -0.02?\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 - 0.55. Let w = 2.99 + p. Which is the nearest to 1\/3? (a) -2\/3 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 2*g**7\/21 + 22*g**6\/15 - 12*g**5\/5 - 403*g. Factor x(c).\nAnswer: 4*c**3*(c - 1)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12596733.\nAnswer: 3, 919, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3 - 46360*u**2 + 46361*u = 0.\nAnswer: -46361, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 212889246 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/(1\/7)*(-9218)\/1676.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8593, -34462, -77595, -137992, -215653, -310578, -422767?\nAnswer: -552220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24322868*b**2 + 66811801*b wrt b.\nAnswer: -48645736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/6)\/(1\/(-165)*-5). Let y be (-150)\/(-22) + 32\/b. Suppose -2*d = -0*d - 42. Calculate the greatest common divisor of y and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81.16 - -81.28. Let i = -0.7 + -2.3. What is the closest to 2\/9 in i, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*f + 6, 10 = 3*f + 25. Suppose c*w + 4*j - 132 = 0, w - 33 = -j + 5*j. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - ((-689 - -646) + (0 - -19))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178315.\nAnswer: 5, 19, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:57 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 306813831834.44.\nAnswer: 306813831834.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 274 = 2*s, -13 = 5*s - r - 680. Suppose 5*q - 86 = s. Let f = -51 + q. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134678069373 - -3.72?\nAnswer: 134678069376.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 2, e: 2, z: 1}. Give prob of sequence zdt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25 + -3.25. Let f = 8 - 7. Which is the third smallest value? (a) p (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -89. Solve 2*o = -z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 3*o + 0*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34309 (b) -0.16 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -52706592 divided by 2544\nAnswer: -20718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2, -4, -0.5, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339\/8 - 42. Let k = 5.756 - 6.156. What is the closest to -1\/2 in k, -2\/9, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/10*(-8)\/(-6). Suppose -3*f + 0*f = -v. Let p be (-2)\/6 - 155\/(-15). Calculate the highest common divisor of p and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -338081\/4 < -84521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-6)*a**(-3\/2)\/a)\/((a*a\/(a**(-9\/2)*a)*a)\/a**10))**(-21\/4))**(-3\/7) assuming a is positive.\nAnswer: a**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11230 + 230?\nAnswer: 12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/29743 and 37\/5463.\nAnswer: 267687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -9. Let h(g) = g**3 + 9*g**2 + 18*g + 21. Let n be h(-7). What is the remainder when w is divided by 30\/(-70) + (-66)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 822054 and -94.\nAnswer: -77273076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = -10*l - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*a - 32*a - 14. Let r(i) = -10 + 10*i + 0*i**a - 5*i**2 + 0*i**2 + 4*i**2. Calculate r(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -2\/27 (b) -1\/17 (c) -1 (d) 0.3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 18, 68, 170, 342?\n\"Answer: 3*q**3 - q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**13)\/k*k**(-1\/6)\/k*k**1\/(k*k**(-10)*k*k))**50 assuming k is positive.\nAnswer: k**(-775\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7886*l + 94889 = 694225 for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 31, 25, 19, 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14737 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.4 - 32.8. Which is the closest to -1? (a) v (b) 5\/6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1 - 4 + 9 - z + 7. Let m be f(0). Let g = 4 - 0. Solve -5 = g*s + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - y + 119 = -0*y, 0 = z + y - 41. Let n = 19 - z. List the prime factors of (n\/(-8))\/((-2)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-7))\/(8\/16). Suppose -36 = 9*w, 2*v + 42 = -3*w + 26. What is the third smallest value in v, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 125 = -47. Suppose -5*i - 23*s = -20*s - 70, -4*i - 2*s = -54. What is the remainder when q is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qbsqpwbsqsq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.4 (c) 7 (d) -20 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -9040 + 416. Suppose 838 = m - j. Let s = 1611 + m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z*z*z*z*(z**2\/z)\/z)\/(z**(1\/3))**(-2\/67))\/((z\/(z*z**(2\/5)*z)*z*z*z**(-4)*z)\/(z**(-2\/7))**(1\/10)) assuming z is positive.\nAnswer: z**(58963\/7035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 - a**4 + 6*a**4 - a**4 - 3*a**4 + 3*a**4 + (1 - 1 + 2*a**2)*(4*a - 4*a + a**2) - 2*a**4 + 4*a - 4*a.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3739 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 25. Let n be f(19). Let x(w) be the third derivative of -w**5\/60 - 7*w**4\/24 - 5*w**3\/6 - 4*w**2. Determine x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119121726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 5*i**4\/4 - 3*i**3 - 5*i**2\/2 - 120. What is the third derivative of h(u) wrt u?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmmxxbxffmmmmxxx. What is prob of sequence fbm?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 9) to base 4\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 1138.\nAnswer: -7\/1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -30 - (-1 - 5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -123*m - 534. Give g(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.63683035 rounded to three dps?\nAnswer: 16.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 198*t + 4913. What is x(50)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-3)\/6 - -4) - (-1350)\/2730. Which is greater: o or -160?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-three eighths of a millennium?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4639.9315 - 4641. Let m = 0.0685 + q. Which is the fourth smallest value? (a) -0.08 (b) 5 (c) 0.3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(-4*y**2 + 0*y + 0*y) + 115*y + 31*y**2 - 115*y - 2 + 2 - 2*y**2 + (3 + 1 - 2)*(2*y**2 - 3*y + 3*y) as w*y**2 + k + q*y and give w.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 4616030.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85.0000026 + -85. Round q to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/10856472 and 73\/1640?\nAnswer: 54282360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 10*x**2 - 24*x + 2. Let y be i(-12). Suppose 5*f - 9 = 2*f. Solve -y = -o + f*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*h - 4*s = -5187, -5*h + 3*s = -2*h - 12 + 66 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20105 + 145437\/7. Let g = 670 - z. Let v = -8730 + 8727. Does v = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7739 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -7. Let v = l + 15.04. Let z = 0.025 - -0.975. Which is bigger: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5 - 3*w**4\/2 - 81*w**3\/2 - 33*w**2\/2 + 75*w\/2 + 18 = 0. Calculate w.\nAnswer: -3, -1, -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 856?\nAnswer: 23968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-12 - -19 - (-5 - (-3 - 12)) - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-4*z**3 + 3*z**3 + 3*z**3) + z**2 - z**3 - z**2 + 14*z**3 - 142*z + 142*z.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1711*v**2 - 40*v + 127. Is n(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 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: Simplify 3 + 1*(-1 + sqrt(28) - sqrt(7)).\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**3 - 1506*w + 582*w - 19*w**3.\nAnswer: 2*w**3 - 924*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/7 + 2*v + 12\/7 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 15017*i**2 - 722*i - 2168. Is d(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11126887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q**2 + 9*q + 23. What is h(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039 and 0.579?\nAnswer: -0.022581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10757074477 and -0.0154?\nAnswer: 10757074476.9846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74692069 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/4*(-7)\/(-189)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 + -120. Is p smaller than 1\/152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4822055?\nAnswer: 5, 7, 311, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.79435 to two dps.\nAnswer: -12.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 919, 1445, 1975, 2509, 3047, 3589?\n\"Answer: 2*y**2 + 520*y + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16050, -38479, -67292, -102489?\n\"Answer: -3192*n**2 - 12853*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**5*h)\/(h*(h*(h\/h**(-1\/8)*h*h)\/h*h*h)\/h))\/(h**6\/h**(-2\/9)) assuming h is positive.\nAnswer: h**(-313\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16124\/2224 - 385\/(-44).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g + 992. Let a be 3\/7 - g\/(-56). Calculate the remainder when ((-2)\/a)\/((-2)\/(-32)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 119 = -0*k. Let m = k + 21. Suppose f = m*f - 45. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 21. Solve a = 2*w + 2 - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -21*n + 101. Find the second derivative of 163*f**2 - 40*f**4 + 165*f**2 + n*f - 326*f**2 wrt f.\nAnswer: -480*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7393244 meters to nanometers.\nAnswer: 739324400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 12, 0 = -d + 4*d + 2*b - 85. Suppose -s - d = -540. Suppose h + 2*v - 6*v = s, 0 = -5*h - 3*v + 2430. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1147)*2\/(-20)*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 17. Let d be i(7). Solve 2*m + 28 = -2*c - 3*m, 0 = -d*c + 3*m - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 2*t - t + t + 6*t**2. Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 85 + 6*m + m**2 + 2*m - 77 + 0*m. Calculate c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.8 and 69148756.\nAnswer: 69148768.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 + 3. Let o(a) = 6*a**2. What is q(o(f))?\nAnswer: -108*f**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 961491593\/5 or 192298320?\nAnswer: 192298320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = 3*h, h - 9 = -n + 2. Suppose -h = 4*a + 14. Let q(y) = -5*y + 6. Let g(b) = -6*b + 7. Calculate a*q(s) + 4*g(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -50. Suppose 8*p = 847 - 679. Calculate the lowest common multiple of a and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 5*(-1 + sqrt(405)))**2 - (sqrt(5) - 2*sqrt(80))**2*6.\nAnswer: -540*sqrt(5) + 13135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20102849 is divided by 4356.\nAnswer: 4265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-2 - -9)) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 47679080*l + 238395300.\nAnswer: 4*(l - 11919765)*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 32. Let o = -58 + 58. Sort o, 1\/3, x in ascending order.\nAnswer: x, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikkikqkiqkqqi. What is prob of sequence ik?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -535 and 126?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(2052\/(-1007)) - (-2)\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 685915*b + 15090123. Calculate k(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1284 - 89327.\nAnswer: -88043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.67 + -1.07. Are -1\/4 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574363.\nAnswer: 574363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297 (base 15) to base 16.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.874364 to two dps.\nAnswer: -9.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 1 = -3*j. Let z = -4985 - -5011. Calculate the highest common factor of j and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 0.32, -41, 33 in ascending order.\nAnswer: -41, 0.32, 2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18718682, -18718672, -18718640, -18718574, -18718462, -18718292?\nAnswer: -18718052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 109*i**3 + 5*i + 4. Let v(p) = -110*p**3 - 4*p - 3. What is -5*v(k) - 4*x(k)?\nAnswer: 114*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 - 159 = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -104*a**3\/3 + 34*a**2 - 21*a - 2. What is the derivative of d(y) wrt y?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let f(i) be the third derivative of i**5\/30 - 5*i**4\/24 + 2*i**3\/3 - 82*i**2. Let b(x) = -f(x) - 2*w(x). Determine b(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 17*k**2 - 6*k + 48. Let t be h(-17). Suppose t = 4*f - 98. What is the remainder when f is divided by (-74)\/(-6) - 2\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 267*y - 3948. Let d be q(-15). Calculate the highest common divisor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0 + (-3 + 0 - 1)*(-2*u + 0*u - u))*(2*u**3 + 15 - 15).\nAnswer: 26*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*n - 814, n = 117*p - 116*p - 413. Which is smaller: 412 or p?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 13 + -8 - 5 - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155\/9 - -17. Let o(y) = -y**3 + 9*y**2 - 8*y - 6. Let p be o(8). Let u = -23\/4 - p. Which is the third biggest value? (a) u (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -6.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 - 0.05. Let y = c - -0.46. What is the smallest value in y, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/(-2 - 3) + 1 + 2. Let i(s) = -6*s + 1. Let m be i(1). What are the prime factors of 25\/k*4\/m + 118?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1351*n - 5753. Calculate the remainder when u(-5) is divided by 77.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1352 - 1651 = -7*v. Calculate the highest common factor of v and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 15121433333?\nAnswer: -15121433341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*-5*(-3)\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -14*f**3 - 5*f**2 + 8*f - 10. Let q(o) = 15*o**3 + 6*o**2 - 9*o + 12. What is -6*k(x) - 5*q(x)?\nAnswer: 9*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1898 and 281164?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-176)\/66\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004571 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 2\/13 (c) 41\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2. Let h(d) = 8*d**2 + 5*d + 3. Let x(f) = 3*f**2 + 2*f. Let m(r) = -2*h(r) + 5*x(r). Give n(m(p)).\nAnswer: -4*p**4 - 48*p**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -333313\/20 = -16665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 26394926.03 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 14) to base 6\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*c + 16032 + 1728 = 0 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2948 and 31980.\nAnswer: 23569260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 1 - 1)*(c + 1 - 1 + (2*c - 1 + 1)*(4 - 6 + 4)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - n**2 - n - 2. Let q be f(-2). Suppose 42 = q*m - 102. Let t be ((-2)\/(-3))\/(4\/m). Solve 0 = 2*u + 3*h - 8, -u = 4*u + h + t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11518784 is divided by 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 291 = -4*f + 56, 3*g + 4*f - 173 = 0. Let q = -11 + g. Suppose -b + q = b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7397*-209834\nAnswer: -1552142098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 3 + 4 + -4*5*(sqrt(832) + -4))**2.\nAnswer: -79680*sqrt(13) + 1019067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 12*t + 11. Suppose 84 = 92*y - 86*y. Determine h(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -582 + 580. Let y be (-62)\/k*(-4 - 1206). What is y rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1245948 and 3?\nAnswer: 1245945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s**3 + 369*s**2 + 35*s + 89. Let f be p(37). Let j(q) = -q**2 + 12*q. Calculate j(f).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1657 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + x - 7. Let v be w(0). Let l(c) be the second derivative of -c**5\/20 - 7*c**4\/12 + 2*c**3\/3 + 2*c**2 - 7428*c. Give l(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 46*a - 62. Determine w(-24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -340, -357, -378, -403?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 807*d**2*l**2 - 2*d**2*l - 3266*d**2 - 2*l wrt l?\nAnswer: 1614*d**2*l - 2*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.1 (c) 0.3 (d) -979 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -3 (c) 0.042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 22. Calculate l(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 plus 2.471?\nAnswer: 962.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29 - -1.1344?\nAnswer: 2.4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, e: 1, s: 2, l: 2, o: 1}. Give prob of sequence en.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2, 0, -16, 343.\nAnswer: -16, -4, -2, 0, 4, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 4:20 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1102*w*y**4 + 2090*w + 5*y**4 - 3 wrt y.\nAnswer: 4408*w*y**3 + 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s. Is 2 - (s + 49*-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + -3) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169019*n**3*p**4 + 1099*n**3 - 4*n**2*p - n*p + 18*n wrt p.\nAnswer: -2028228*n**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.6 + 16.876. Let a = -17.976 + c. Round a to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**2 + 6*u - 5. Let p be (-9)\/(-6)*1*2. Suppose 0 = p*z + 65 - 47. Let b(t) = 9*t**2 - 11*t + 9. What is z*b(i) - 11*d(i)?\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/3 - 189628*y - 26969083788 = 0 for y.\nAnswer: -284442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 1}. What is prob of picking 2 f and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5375839 years to decades.\nAnswer: 0.05375839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**2\/2 + 7*f - 8. Let v be y(3). Let c(b) = 1. Let w(h) = 2*h - 2. Let r(z) = v*c(z) - w(z). Give r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55838, -55839, -55842, -55847, -55854?\n\"Answer: -l**2 + 2*l - 55839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 10*s**2 + 12*s. Let y(n) be the first derivative of n**4\/4 + n**3 + n**2 + 2. Let c be y(-3). What is the units digit of o(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -22*z + 234. Let t be x(0). Suppose s - 27 = 19. Suppose i + s = -t. Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 s when three letters picked without replacement from qyjyyyjjysjyjy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 6*i - 14028, i - 18668 = -0*c - 4*c. What are the prime factors of c?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 55555?\nAnswer: -55552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4440*p**2 + 3821*p**2 + 4893*p**2.\nAnswer: 13154*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(300) - sqrt(300))**2 + 4)*3.\nAnswer: -3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*k - 11 = -1, -2*u - 3*k = 5. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4, f + 2*p = -2*f + 4. Suppose -x - f*x = 0. What is the common denominator of 52\/7 and (x - 4\/(-6)) + -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 10*z + 5*z. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*l + 3)*((0*l**2 + 3*l**2 - 4*l**2)*(-2 + 3 + 1) - 2*l**2 + 4*l - 4*l - 7*l - 9*l**2 + 7*l).\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1755700 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0. Let i be (5\/10)\/(8\/6). Which is the closest to x? (a) -0.2 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8695 + 475 - 1479)*(2*n + 3*n - 3*n)*(-6 + 4 + 4) in the form q*n + z and give q.\nAnswer: 30764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**3\/3 + d**2\/2 + d + 8. Let n(x) = -5*x**2 + 6*x + 6. Let h be (-10 - -6) + 1*3. Calculate h*n(f) + 6*c(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 18, -6, -179 in ascending order.\nAnswer: -179, -6, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -180 + 175. Let b(f) = 2*f + 1. What is b(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-2013)\/(-670) + (-14 - -11)) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8314980 by 554332.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - -91 - (22 + 12 + -25)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.87 equal to 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p + 110. Let r(j) = -j**2 + 12*j - 1. Let y be r(12). Let z = y - p. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d + -a9?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 8*t + 7. Let l be g(-7). Suppose 2*h = v - 2*h + 17, 0 = 4*v + 2*h + l. Put v, -4, 1 in increasing order.\nAnswer: v, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1795, 2120, 3007, 4738, 7595, 11860, 17815, 25742?\nAnswer: 35923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.6 (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtvv when four letters picked without replacement from vjvvttwttv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1190 divided by 7\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**3 + 87*b**2 + 143*b - 1045. Calculate l(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 < 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 18 = -82. Let f be (i\/2 + 4)*-2. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -0.26329012173.\nAnswer: -2.26329012173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let p(j) = 2820*j**2 + 15*j + 7. Calculate p(f(u)).\nAnswer: 11280*u**4 - 30*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 12, 68, 172, 336?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 13*k**2 + 40*k + 372. Give w(-16).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 d, and 1 e when four letters picked without replacement from ddfrrdehrdrr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1336, -2674, -4012, -5350?\nAnswer: -6688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-360)\/32)*15\/(-170).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 + b + 1. Let u be s(-7). Let x = 12 + -14. Let t be -8 - -4 - (-6)\/x. Is t != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126 or -128?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 648.1 and 5.03.\nAnswer: 653.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 9*s**2 - 7*s + 13. Let n be k(-8). Let f be 9 + 5\/n - 4. Suppose 3*a = 141 + f. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 322 + 74*f**2 - 94*f**2 + 322.\nAnswer: -20*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -883 and -7833 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -17*g + 22. What is the units digit of 94*1*(-10)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13770016467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + -2)\/((-6)\/4). Let n(h) = -4*h - 6. Is n(q) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n - 112 = 0. Suppose -3*o - o + n = 0. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*m = 18 + 4, 13 = 3*a + m. Solve -w = 5*h + a*w - 32, -2*h = w - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -17*n - 17. What is the tens digit of s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 7*k + 113064000 = 11*k. Round k to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 5, g: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Suppose -h = 4*n - 2*n. Is ((-116)\/(-16))\/(n\/(-16)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.7692 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 31. What is the second smallest value in -0.5, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53\/78 - -2102\/195. Let g be 36695\/44070 + 2 - 0. Let q = 1\/1469 + g. Calculate the common denominator of j and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3640842 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51559608.\nAnswer: 2, 3, 73, 29429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -5, -9, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**4 + m**4 - 2*m**4 + (-m**3 - 2*m**3 + 11*m**3)*(-5*m + 2*m + m).\nAnswer: -23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75392 = 130*m + 51*m - 76478 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(-6*(sqrt(6) + (sqrt(6) - sqrt(18)\/sqrt(3)) + sqrt(6))).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*f - 2*x, -3*f = 4*x - 53 - 29. What is the remainder when f is divided by 6\/(-14) - 1239\/(-147)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.250798 years to decades.\nAnswer: 0.0250798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -514, -506, -496, -484, -470, -454, -436?\n\"Answer: g**2 + 5*g - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 47134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k**2*o**3 - 252*k**2 - 37*k*o**4 - 4*k*o**2 - 2*o**3 wrt o?\nAnswer: 36*k**2 - 888*k*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 125040*j + 123061300.\nAnswer: -4*(j - 955)*(j + 32215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 - 0.19. Let d = -4.8 + 0.8. Suppose 2*u + 2 = h, -3*u - 3 = 8*h - 12*h. Which is the closest to u? (a) d (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5886 a factor of 1500019532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.1, -365404?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24636223 (base 8) to base 12.\nAnswer: -19b09ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y - 23. Let u(z) = -7*z + 23. Calculate -4*j(t) - 3*u(t).\nAnswer: -3*t + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 5500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.19 - 1.81. Let s = -6.12 - -6. Let k = -0.09 - s. Which is the nearest to -1? (a) h (b) k (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1424 + 1493 + -1 + -131.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -145\nAnswer: -52\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/sqrt(360))\/(sqrt(81)\/sqrt(576)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -k - 2*s, s + 459 = k - 3*k. Let q = k - -247. Which is smaller: 73\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1815286861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v + 3. Let a be (-4)\/34 + 2120\/680. Let t(y) = -56*y - 14. Calculate a*t(x) + 14*u(x).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 36*g**2 + 2*g - 9. Give d(-18).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/13, -1, -1\/13, -0.015, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6292472l to millilitres.\nAnswer: 629.2472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153331334 to the power of 1\/2, to the nearest integer?\nAnswer: 12383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110133060 (base 7) to base 6.\nAnswer: 353425413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 3629.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41160)\/(-53165))\/(4\/372).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4537 (base 12) to base 2.\nAnswer: 110100011111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -942, -952, -968, -990?\n\"Answer: -3*s**2 - s - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 11:35 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s**3 + 15*s**2 + 19*s**2 - 36*s**2 to the form a + f*s + k*s**3 + r*s**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 + 10*x**2 - 17*x**3 + 23*x**3 - 27*x**2 + 11*x**3.\nAnswer: 17*x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.27 and 53203.813.\nAnswer: 53204.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 88?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 - 10 - (-2 - (-5)\/2). Let l(g) be the third derivative of 0 + 1\/12*g**4 + 0*g + 10*g**2 - z*g**3. What is the first derivative of l(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -1374 - 61. Calculate the common denominator of ((-1)\/6)\/(6\/477) and z\/(-12) - 3\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21980\/29 + 758. Let r be -5*1 - (3 - 4). Let n be r - (-3 + 5 - 5). Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*z - 80*h**3 - 700*h**2*z - 2*h*z - 520*h + 32*z wrt h.\nAnswer: 6*h*z - 480*h - 1400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/311 - -1563\/1244. Let f(r) = r**3 + 5*r**2 + 4*r - 1. Let h be f(-4). What is the nearest to h in x, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -226, -208, -188, -166?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from hxyryrxz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - p**2 + 1257*p + 9781. Calculate the remainder when g(-8) is divided by 8*(-22)\/(-12)*6.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1880816 = -203520. Let x = o - 609324. Round x to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 364228544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5 - 254*r**4 + 250*r**3 + 764*r**2 - 1267*r + 506 = 0.\nAnswer: -2, 1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3 + 3)*(1 - 1 + 1)*(3 - 5 + 1)*(-40*k - 4*k + 14*k).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12705390, 25410781, 38116172, 50821563?\n\"Answer: 12705391*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5701 - 5699. Let w(a) = -a**2 + a + 2. Let l be (-2)\/(-5) - 8\/(-5). Let d be w(l). Solve v*n - n = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1790*x - 3261*x - 2955*x as h*x + a and give h.\nAnswer: -4426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + (0 + -1)*(5 - 4). Let r(x) = 7*x - 2. Let s(h) = 11*h - 3. Let g(k) = l*r(k) - 5*s(k). Give g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(242)*2*4*-5)**2.\nAnswer: 6195200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 26*b - 94. Let t be x(-16). Solve -6*m - t = -8*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 3716146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 31995. Let d(a) = -10*a - 2. Calculate d(v(l)).\nAnswer: -50*l - 319952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, 14, -32, 0, -8 in descending order.\nAnswer: 18, 14, 4, 0, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320\/(-48)*18\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 108*f**2 - 284*f - 3259. Determine k(105).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 84*m + 587. Calculate s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97714 + -97785.781. What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/22757 - 45525\/250327. Which is the closest to -14? (a) -1\/3 (b) u (c) 0.5 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2 + sqrt(153)))**2 - (-5 + -3 + sqrt(272)))*4.\nAnswer: 416*sqrt(17) + 5684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 696\/(-180))*25\/(-45)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74205 is divided by 14523?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 610279735 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 7. Let y be (168\/i)\/3*5. What is the greatest common divisor of 154 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-3 - (-1 + -3)). Is ((-1)\/l)\/((-11)\/(-85107)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 + 10*j - 728\/3.\nAnswer: 2*(j - 13)*(j + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-360)\/1134 - (-6)\/14\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9183578 grams in tonnes?\nAnswer: 0.0000009183578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a = 13*a - 121 - 671 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3026 is divided by 729.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-33)*2 - 8766496628\/3696. Let v = m - -2371915. Let z = v - 105\/4. Find the common denominator of z and -56\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2259887 + -59?\nAnswer: -2259946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 25 = 0, 3*c = -n + c + 11. Let v(k) be the first derivative of -n + 2\/3*k**3 + 0*k**2 + 2*k. Differentiate v(q) wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309 divided by 2.\nAnswer: -309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 13, 0.49, 3?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 - 10 = 0. Solve 0 = 2*r + u - 2 - 5, 2*u = 3*r - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aa9 - 4?\nAnswer: aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230758755 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1409 (b) -0.2 (c) 2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 10. Suppose -r*x + 2*x = 0. Is -1\/4 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4. Let w = h - -3. Let o = 85.731 - 80.731. Which is the fourth smallest value? (a) 0.05 (b) 0.3 (c) o (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 18*m**2 - 4*m**2 - 23.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6612651 - 19*g + 6612651. Let u(n) = 2*n**2 - 17*n**2 + 2*n**2. Determine k(u(a)).\nAnswer: 247*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d**(-1\/4)\/d)\/d)**(23\/4) assuming d is positive.\nAnswer: d**(-23\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -3, -29, -5425, -0.3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2064 and -27\/4300?\nAnswer: 51600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, c: 2, z: 4}. What is prob of sequence ycz?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1805 - 2825. Let r be (v\/(-20))\/((-3)\/(-2)). Suppose -5*w + 14 = r. Let u(s) = s**3 + 2*s**2 - 6*s - 4. Give u(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 28. Suppose -14*t + n*t + 99 = 0. Solve -2*y - 1 + t = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - w = 1 - 522, w - 2 = 0. Is c > -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14347540 divided by -7173770?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 191746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**2 + 8*y. Let z(j) = 75*j**2 + 54*j. Let a(i) = 27*v(i) - 4*z(i). Let u(t) = -14*t**2. Determine a(u(q)).\nAnswer: -588*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 equal to -240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**2 + 12 - 4*n**2 + 12*n + 12*n + 36.\nAnswer: 3*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 + 6*j**2 + 44*j + 2. Let i(c) = -20*c**3 + 17*c**2 + 132*c + 4. Let m(v) = -6*i(v) + 17*q(v). What is the derivative of m(r) wrt r?\nAnswer: 3*r**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3 - 32*c**2 + 148*c + 176 = 0.\nAnswer: -11, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -67335 divided by 67?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 - 21 = 11*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*v**2\/3 + 7479160*v - 524417196615 = 0. What is v?\nAnswer: 560937\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-one halves of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405224275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.346072 weeks in seconds?\nAnswer: 3838104.3456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -935811797*v*x - 4337849*v - 30 wrt x?\nAnswer: -935811797*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3 - 3) + 3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 83. Suppose 4*l = 2*n - 872, -1323 = -3*n - s*l + 6*l. What are the prime factors of n?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from vvvjxmjjujmmjummmm.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555486.\nAnswer: 2, 777743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/902820 and -13\/40.\nAnswer: 1805640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7000*a**2 + 254*a + 80. Let x(h) = 5251*h**2 - 190*h - 60. Let p(i) = 11*w(i) + 15*x(i). What is the second derivative of p(y) wrt y?\nAnswer: 3530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 6 = 0. Suppose 3*g - 3*q = -6, 4*g - 5*q + 4*q = 1. Let o be (-2 + g)*(-31 - -2). Solve x - 6*x = 2*w - o, -2*x = y*w - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 - 7 = 3*h, 3*h + 11 = 4*y. Suppose 185 = 2*z + h*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v + 8. Suppose 3*p + 12 = 3*k, 3*p + k + k = v. Let r be (3\/2)\/(10\/((-800)\/(-30))). Sort p, 6, r in increasing order.\nAnswer: p, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 425 = -2*b + 653, 112 = b + 4*c. Calculate the highest common divisor of b and 1856.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-80)\/(-2) - -4)*-8. Let z be (x\/24)\/(4\/(-6)). What is the highest common divisor of 22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283 + 285. Which is the nearest to 2\/7? (a) -0.3 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (-3)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = -3*b + z - 39, 69*b = 38*b + 24*b - 4*z + 305 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1760241, -3520487, -5280733, -7040979, -8801225, -10561471?\nAnswer: -12321717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105441760 is divided by 5535.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (476\/(-35) + 13)\/(1\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/21*(-23)\/46?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1935900 rounded to the nearest 10000?\nAnswer: -1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 435 = 17*m - 14*m + 502, 48*i + 3*m + 540 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i + 6356 = -4*f, -5*f = i + 7945. Let q = f - -3924. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*c = -263 - 391, c = 5*v + 1648. Suppose 2*o + 3*k + k = 340, 2*o = k + 340. Let h = o + v. What is h rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342721371 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/120 and 58\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1758584 and 360.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/9, 4\/13, -2, -0.2, -7?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5\/7 - 176697*w**4\/7 + 706758*w**3\/7 - 151446*w**2 + 706743*w\/7 - 176685\/7.\nAnswer: 3*(w - 58895)*(w - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/428679 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 73342*y + 1. Let o(b) = 4*b. Calculate a(o(f)).\nAnswer: 293368*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcddccc. Give prob of sequence dd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 186.2 - 185.6. What is the smallest value in k, -2, 10, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38724 is divided by 821.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 378287014?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)*a**(2\/5)*a*(a**(1\/4))**30 assuming a is positive.\nAnswer: a**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1212 (c) 9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-44))\/((-60)\/(-110)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 12*x**2 - 13*x + 38. Let k be (2 - (2 + -3)) + 4. Calculate the remainder when b(k) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*j**3*r**2 + 2*j**3*t - 2*j**2*r + 13*j**2*t**2 - j*r + r**2*t**2 wrt r?\nAnswer: -54*j**3 + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22111330 (base 5) in base 6?\nAnswer: -4034225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -6. Let j(y) = y**3 - 7*y**2 - 9*y + 12. Calculate the least common multiple of j(8) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -178168, -356346, -534524?\n\"Answer: -178178*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0*u**3 + 0*u**6 + 0*u**5 - 1\/14*u**7 + 11\/24*u**4 + 0 + 17*u**2 + 0*u. Find the second derivative of y(w) wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143625290?\nAnswer: 2, 5, 14362529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 897 and 390.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53639784 and 82764?\nAnswer: 1019155896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25669 + 3*o - 25666 + 76989 - 25654.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 11:39 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 20, 2, 4\/7, -2 in increasing order.\nAnswer: -2, 0.2, 4\/7, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 2*y**4 + 2 + 69*y - 69*y as a*y**2 + i + w*y**3 + f*y + c*y**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 413.01 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 156\/4112455?\nAnswer: 156\/4112455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2856600*d**4 + 7625880*d**3 - 22086*d**2 + 16*d.\nAnswer: -2*d*(3*d - 8)*(690*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0*k**3 - 1\/30*k**6 + 0*k**2 + 1\/12*k**4 + 0 - 1\/42*k**7 + 1\/20*k**5 - 6*k. Determine d so that m(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 + 26*f**2\/5 - 78*f\/5 + 54\/5.\nAnswer: -2*(f - 9)*(f - 3)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/1564 + 6271\/7820. Let z = 58 + -286\/5. Determine f so that -2\/5*f**3 - v + 2\/5*f + z*f**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44457 (base 10) in base 7?\nAnswer: -243420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57892782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 equal to -350\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(6\/(-48))*3\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnknknnnnnknnknknn. What is prob of sequence nk?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:42 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/7 + 5322*c**4\/7 + 4720606*c**3\/7 + 1395706918*c**2\/7 - 18882456*c\/7 - 5582912824\/7 = 0 for c.\nAnswer: -887, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011200 (base 3) in base 7?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 1. Let q be a(3). Find the common denominator of ((-28)\/(-55))\/(11\/(-110)) and (-4)\/10 - 83\/q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, 45, 106, 205, 354?\n\"Answer: 2*f**3 + f**2 + 18*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-6))\/((-9)\/(-27)). Solve -q + o - 3 = -5*j, -5 = j - q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(4\/7)\/h))\/h*(h\/(h\/(h*h\/(h**0*h))))\/h)**(-2\/5)*(h**(-4)\/(h\/(h**(2\/7)\/h)))\/(h**(-2)*h\/(h*h**(-7)*h)) assuming h is positive.\nAnswer: h**(-332\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3ed (base 16) in base 4?\nAnswer: -30033231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 42\/(-44))*4. Let j(w) = -2*w**3 + 4*w**2 - 3*w + 2. Let o be j(2). Let y = 1150 - 14952\/13. Which is the smallest value? (a) i (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/(q**28\/q))\/q)\/q)\/((q*q\/(q*q**(-32)\/q)*q)\/q))**46)**(-1\/21) assuming q is positive.\nAnswer: q**(2852\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 36 (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5934 and 6762.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*p - 3*p**3 + 94*p + 196*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*g + 205 = 1447. Solve -19*y = -g*y + 30 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*f**2 + 165*f - 167*f + 8*f**2 + 3 + 1 - f**2 to the form u*f + m + v*f**2 and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -33*i**2 + 31*i + 44. Let z(f) = -40*f**2 + 30*f + 46. Let l(g) = -6*r(g) + 5*z(g). Factor l(d).\nAnswer: -2*(d + 1)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1954413.17 to the nearest one thousand.\nAnswer: -1954000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 4*a, 6*a - 5 = a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478*t + 25 - 6 - 10 - 9.\nAnswer: 478*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0*w**2 + 27 - 15 - 8 + w**2 + 8*w. Let c be b(-8). Put -164, 1, c in decreasing order.\nAnswer: c, 1, -164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*a**3 - 3985*a**2 - 2190*a.\nAnswer: 5*a*(a - 73)*(11*a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*-6 - ((sqrt(32)\/sqrt(4))\/sqrt(4))**2.\nAnswer: -6*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(6\/(-8)))\/(2\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -25*z + 1. Let u be y(-1). Suppose u + 22 = 4*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 55792 divided by -2536\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.233, -1, 0.4, -0.7, 3\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271 - -271. Let i = 5\/22 - 13\/33. What is the third smallest value in 5, i, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/5996656 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9975.9 to the nearest one hundred.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103 (base 9) in base 14?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c59 - 9?\nAnswer: c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 29629*w**3 + 29612*w**3 - 59243*w**3 - 2*w + 5*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1573021?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/13696)\/(85*(-15)\/(-40800))\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1089120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1416\/11 (b) -0.45 (c) -3 (d) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417 = -34*v + 59 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 2*d**2 - d - 2. Let m(i) = -i**3 - i**2 + 2*i + 2. Let j be m(-2). What is the units digit of r(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/2798 + 201461\/13990. Which is greater: 13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 457969, 457903, 457837?\n\"Answer: -66*v + 458035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6)*174\/145.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 352, 354, 356, 358?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2364918?\nAnswer: 2, 3, 394153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 + 2403?\nAnswer: 2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 6) to base 9\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 11\/5)\/(2\/30). Suppose v + 16 = 4*f, -3*v + 13*f = 15*f - 22. Solve d*z - 13 = a, -5*a + z = -v*z + 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 147 and 2316339.\nAnswer: 340501833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaxo when four letters picked without replacement from {a: 5, o: 6, x: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 3*o - 1 + 3 - 2 - 3*o**2 + 4. What is the tens digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.9 - -20.6. Let b = -28.837 + h. Round b to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 3. Suppose 0 = 5*d - 1310 - 660. Suppose a*m - 400 = -5*y, 5*m - y - d = -0*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1666*w + 0 + 1670*w)*((-1 + 1 - w)*(6 - 1 - 2) + 3 - 3 - w + (w - 5*w + 2*w)*(-5 + 4 + 2) - 2*w + 2 - 2).\nAnswer: -32*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2) + -1)*-48*(-41)\/(-1230).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110218?\nAnswer: 2, 55109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22219?\nAnswer: 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/5)\/(2\/5). Let z be (-2 - j - 4)\/((-2)\/4). Let l = -14 + z. What is the remainder when 32 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**35*m\/m**(1\/5) assuming m is positive.\nAnswer: m**(179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1344 and -97\/136.\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f - 9. What is z(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 12*p**2 + 21*p**2 + 11*p**2)*(2 - 4 + 10).\nAnswer: 8*p**3 + 160*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-12) + 0)\/((-11)\/(-145893)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52929 divided by 3?\nAnswer: 17643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - 3*t)*(-8*t**4 - 4*t + 4*t) + 3*t**5 + 0*t**5 + t**5.\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15436 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -726, -1451, -2176, -2901, -3626?\n\"Answer: -725*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - 10*u**2 + 10*u - 212. Let m(f) = 2*f**3 - 6*f**2 + 5*f - 105. What is -5*m(x) + 3*v(x)?\nAnswer: 2*x**3 + 5*x - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3260, -3210, -3152, -3104, -3084, -3110?\nAnswer: -3200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9798.34781 rounded to the nearest ten?\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 1. Let z be (-8)\/20 - 54\/(-10). Calculate the smallest common multiple of 9 and c(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -7\/5 (b) -2\/11 (c) -0.28 (d) -3\/4 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29922000 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = 4. Suppose 0 = q*n + g - 6, 2*n = -3*g + g - 4. Let l(k) = k**3 + 4*k**2. Let j be l(-4). Solve j = -n*w - 5 - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1236 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -560203 (base 15) in base 11?\nAnswer: -2351223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -183438*31\nAnswer: -5686578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-10 + 1 + (9 - 7) + 0 - 23).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/803 and -11\/146.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/380 and 33\/130.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q + 30. What is the common denominator of 41\/2 and d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 50. Is c bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9274 or 9160?\nAnswer: 9160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfff when four letters picked without replacement from fvvfvfvvfvvf.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 6*i**2 - 8*i**2 + 5*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 2*n + 2. Let r(l) = 9*l**2 + 17*l - 17. Let d be 0 + 0 + 0 + 6. Let c be (-57)\/(-9) + (-2)\/d. Determine c*r(s) + 51*q(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -7a0a25b?\nAnswer: 7a0a264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -710 + 712. Solve -4*l = 2*h + 10, -3*h = -w*h - 3*l - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z - 19. Let l be (-6)\/(-21) + 178\/14. Let b(w) = -2*w + 9. Let o(d) = l*b(d) + 6*r(d). Differentiate o(j) with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205065 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-8)*50\/3. Let p be ((-10)\/f)\/(108\/20). Is p smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vaaa when four letters picked without replacement from {f: 1, v: 4, q: 2, a: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, s: 11}. What is prob of picking 1 s and 1 y?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (1 + 0 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 24. Solve w - 4*v = -3 - 10, -2*w = -b*v + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2 - 18*i - 23. Calculate the remainder when l(9) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*g + 3. Suppose -g*h + 2*v = -0 + 6, -v + 3 = 0. Suppose -3*t + b + 3*b + 69 = 0, -2*t - 4*b + 46 = h. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 7810704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -251*k**2 + 2*k. Let s be (-2)\/(2 - 0)*24\/(-24). Let y be n(s). Let g = y - -1304. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 a factor of 17706539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 11) to base 7\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -297, -435, -573?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286 and 61295.\nAnswer: 1348490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/132 and 46\/237.\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 - -38. Let c = -24 - -17. What is the smallest common multiple of 2\/c + g\/14 and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92.89 - -94. Let g = 1.2 - d. Let t = g - 0.29. What is the smallest value in 2\/13, -11, t?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -356 + 254. Let b = -50 - z. Let j = b + -52.4. Is j less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1731.\nAnswer: -2, 2, 1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2854 + 7*i**3 + 2854 + 3*i**4 - 10*i**2 wrt i?\nAnswer: 72*i + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -17*b**3 + 4*b**2 + 8. Let s(l) = -30*l**3 + 7*l**2 + 12. Let f(m) = -3*s(m) + 5*y(m). Let k(o) = o**3 + o**2 + 1. Determine -f(r) + 2*k(r).\nAnswer: -3*r**3 + 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-7)\/(-4))*(-4)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 17*f - 13*f + 17, 4*f = -12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120858427 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 31 (b) 0.1 (c) 19 (d) -4\/119 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 3*y**2 + 5*y**2)*(-1 + 2*y + 1) + ((-5 - 5 + 3)*(-3*y - y - y) - y + 2*y - 3*y)*(-y**2 + 0*y**2 - y**2).\nAnswer: -68*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -586, 1, -27.81?\nAnswer: -27.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 7*v - 2. Let x(o) = -2*o**2 - 7*o + 2. Let l(k) = -w(k) - x(k). Let b(r) be the first derivative of 23*r**2\/2 + 9. Give b(l(a)).\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -135, -202, -269, -336?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1011 + -1008. Which is the second smallest value? (a) l (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(1 + sqrt(1584)*2).\nAnswer: 5 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120995578 to the power of 1\/2, to the nearest integer?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -143942 less than -143904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 12. Let r(u) = 10*u + 8. Let z be r(-2). Let f be v(z). Suppose f = -3*d + 3*h + 7812, h + 10 = -h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3081308 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3938 and -56\/1359?\nAnswer: 5351742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 4*t - 19, 5*f - 2200*t + 2198*t - 23 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*w = 112*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*-59.21.\nAnswer: -130.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1116 = 184*o - 178*o. Suppose -2*w - 6 = -20. Suppose -w*f = 18 - o. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11158 less than or equal to -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2) - (-16 - -18). Let d be u*(2 + (-12)\/8). What is the second biggest value in -2, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11560.09 - 12185.7. Let q = a - -610. Let b = q - -16. Round b to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 20*q + 6. Sort 0.1, q, -0.2 in decreasing order.\nAnswer: q, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 125626562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324110324 (base 5) to base 7.\nAnswer: -14565331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 19*q**2 + 28*q + 26. Suppose s - 45 = -2*s + 3*h, 5*s + 3*h = 99. What is the remainder when t(s) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5 + 782*v + 793*v - 1560*v. Let d be o(0). Solve 3*l - d = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**7\/231 + f**6\/165 + f**5\/55 - f**4\/33 - f**3\/33 + f**2\/11 - 127*f. Let k(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 + 397*s**2\/5 - 18449*s\/5 - 423453\/5.\nAnswer: (s - 57)*(s + 17)*(s + 437)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -646 + 303*o**3 + 1816 + 1402 wrt o.\nAnswer: 909*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -2*o**2 - o**3 + 0 - 1\/60*o**5 + 1\/4*o**4 + 0*o. Determine b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34146 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 11*g + 5. Let d(c) = c**2 + 6*c - 3. What is -5*d(l) - 3*i(l)?\nAnswer: -2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -48601494 times -0.02?\nAnswer: 972029.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, y: 3, z: 5}. What is prob of picking 2 z?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*d + 249906 - 250212 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -407.6 + 408. What is the fifth biggest value in -3\/7, -0.4, -5, u, -14\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**3 - 6*b**2 + 15*b + 21. What is o in i(o) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 11. Let y be q(-8). Suppose 3*a - 3712 + 1535 = y*v, 0 = -3*a + v + 2161. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3414*w**4 - 4*w - 50601.\nAnswer: -13656*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4520 is divided by 91.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfz when three letters picked without replacement from zmfffzfm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m. Let r(g) be the second derivative of 11*g**4\/12 + 2*g - 7. Give r(i(o)).\nAnswer: 99*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 20197936?\nAnswer: -80791744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 g when three letters picked without replacement from {g: 4, i: 4, k: 2, b: 7, f: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)*v*v**(4\/9)\/v*(v**10*v)\/v**14 assuming v is positive.\nAnswer: v**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g - 5*g + 5 - 2 + 7*g with respect to g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -9. Which is the closest to 0? (a) -1.1 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 b when four letters picked without replacement from obtooiidoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -121.1, 0.05, -0.1 in increasing order.\nAnswer: -121.1, -0.7, -0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 27. What is the closest to 1\/3 in y, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Suppose -b*d + f + 196 = 0, 0*f + 12 = 3*f. Let y = -50 + d. Do y and 0 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28\/5 + -6. Let q = 231 - 696. Let m = q + 466. What is the nearest to -4\/7 in f, 2, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 42, 0.11, -3, -42, 1, 3\/7 in descending order.\nAnswer: 42, 1, 2\/3, 3\/7, 0.11, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20 - -10)\/(1 + 0). Let s = 15 + h. Let g(q) = -s - 9 + 15. Let k(w) = -w**2 + w + 5. Calculate -5*g(b) + k(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/19 - 1024820364*c\/19 - 131282097308636562\/19.\nAnswer: -2*(c + 256205091)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27073, 73861, 120649, 167437, 214225?\nAnswer: 261013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4560639009 rounded to 5 dps?\nAnswer: -0.45606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.8 (b) 6 (c) 10 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*r + 76, 240 - 30 = -5*z - 5*r. Let s = -20 - z. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -2*s**5\/25 + s**4 - 6*s**3\/5 + 48. Factor g(c).\nAnswer: -2*c**2*(c - 9)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-2 - 106) + (-4)\/198. Which is the fourth smallest value? (a) 0.2 (b) 4 (c) z (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -739.6 times -36\nAnswer: 26625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k**2. Let w(g) be the first derivative of -g**3 - g**2 + 2*g + 8. Let i(b) = 8*b**2 + 5*b - 5. Let c(t) = 2*i(t) + 5*w(t). Calculate j(c(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4194 - -0.0806. Let q = 92 - 551\/6. Put q, v, 5 in decreasing order.\nAnswer: 5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - 431a?\nAnswer: -42a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27772, -27684, -27586, -27472, -27336, -27172, -26974?\nAnswer: -26736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 13392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 80\/113 (b) 0.02 (c) -22 (d) 28\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 65772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 4*k**2 + 3. Let o be m(-4). Suppose 0*n = -n - 4*h - 10, o*h = -3. Is (651\/14)\/(n\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 29\/4. Let s = -0.03 - 0.02. Let z = s - -0.25. Which is the closest to z? (a) n (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1043312 + 20103?\nAnswer: 1113420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -483*g. Let o(f) = 2*f. What is o(h(d))?\nAnswer: -966*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g - 3*g**2)*(3*g**3 - 4*g**3 + 3*g**3).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16bdb (base 14) to base 2.\nAnswer: 1101111110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2609880 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-40)\/(-15)))\/((-6)\/16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1460\/1314 - 80\/(-9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -4143.\nAnswer: -1657.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1040\/(-8)*12\/(-5). Let i be ((-2)\/(-4))\/(2\/q). What is the highest common divisor of i and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099266 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -23b8a?\nAnswer: 23b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 - 2438 + 2438 - 19*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -132938?\nAnswer: -1\/66469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -322, 8, -2, -4, 4, 0 in decreasing order.\nAnswer: 8, 4, 0, -2, -4, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 33963*u + 4639. Is p(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - k - 2. Let r be z(-1). Let p(t) = 5*t**2 - 1. Let m be p(r). Solve 0 = m*s - 3*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-6))\/(2\/(-4)). Suppose 3*n + l*t = -280, -2*t - t + 98 = -n. What is n rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -399, 169, 721, 1251, 1753?\n\"Answer: -z**3 - 2*z**2 + 581*z - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1024 + -8.5024. Which is the smallest value? (a) g (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**5\/60 - 3*u**4\/2 + 54*u**3 + 32*u**2. Factor z(n).\nAnswer: (n - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 18*h. Let g(p) = 5*p + 2. Let a(d) = -11*d - 5. Let u(o) = -2*a(o) - 5*g(o). What is u(k(q))?\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -161, -430, -825, -1346, -1993?\nAnswer: -2766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from dcfaaedj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let x(k) = 3*k**2. Let u = 4136 - 4138. Determine u*x(f) + 5*a(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71890 and 326270.\nAnswer: 4241510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:48 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 3*l - l)*(-20 - 7 + 5) as t*l + b and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(-5 + 4 + 0)*(341 - 341 - 30*r)*(-4 + 3 + 0 + 1 - 3 + 0 + (0 + 1 - 2)*(-5 + 2 + 2) + 0 + 0 - 2) as n + c*r and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdujduo. Give prob of picking 1 z, 1 o, and 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-66))\/((-3)\/12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:49 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 253*b**3 + 3*b**2 + 2*b + 1. Let n(i) = 4 - 2 + 4*i**2 - 5*i + 253*i**3 + 8*i. Let r(u) = -2*n(u) + 3*s(u). Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 13*n - 2. Calculate the least common multiple of 6 and d(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 11*u**2 + 8*u + 6. Let l be k(11). Suppose -3*s + 170 = -l. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039960201 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/112*-4)\/1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 3*z**2 + z + (z - z - z**2)*(3 + 0 - 2) + (5*z - z - 2*z)*(-50391 + 295*z + 50391) in the form h + g*z**2 + t*z and give g.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -3\/5*d**4 + 8\/15*d**3 - 1\/5*d**2 + 55 - 1\/15*d**6 + 8\/25*d**5 + 0*d. Solve w(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 5*o**3 - 5*o**3)*(4*o - 3*o - 2*o)*(5*o - 7 + 7)*(1 + 3 - 2).\nAnswer: -30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9*i - 108 = 0. Calculate the common denominator of 193\/330 and (-5)\/(-25) + i\/240.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c1d (base 15) to base 3.\nAnswer: -10202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -0*p - 3*p. What is the remainder when p is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/7))\/p)\/p**(2\/29)*((p\/p**1*p)\/p)**47 assuming p is positive.\nAnswer: p**(44\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*sqrt(882) - sqrt(882)))\/(sqrt(96) + sqrt(96)*2 + sqrt(6) + -2*sqrt(726)) + 2.\nAnswer: -14*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6463 take away 2070805030?\nAnswer: -2070798567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2201.400419 to the nearest ten.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 16. Suppose -2*v - 3*v + 1080 = 5*q, -220 = -q - n*v. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1603*m + 1599. Let z be r(1). Let b(j) = -69*j - 280. What is b(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13074413207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -426 - 3?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-19.2618\nAnswer: -1.92618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 19 = v. Suppose 3*w - 3 = 6, 4*i - 4*w - 208 = 0. What is the remainder when i is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddqqsqdd?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 14*d**2 - 13*d + 45. List the prime factors of k(-8).\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 41. Let z be (0\/f)\/(2 + (-2 - -1)). Suppose 4*w + 2*a + 0*a - 628 = z, -2*a - 644 = -4*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 8 + 11)*(-12*f - 3*f + 9*f)*(3 + 0 - 1) as g*f + p and give g.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 b when four letters picked without replacement from {s: 1, b: 3, a: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1677, 15185, 51923, 123519, 241601?\nAnswer: 417797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5, o: 1, u: 3, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.97 + -0.03. Let o = 5.01 + -4.7. Let c = o - -0.29. Put i, 5, c in decreasing order.\nAnswer: 5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47286736 divided by -112\nAnswer: -422203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*a - 143 + 284 - 141 + (2*a + 0*a - a)*(3 - 6 + 1) to j + w*a and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24415 and 48316?\nAnswer: 4590020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 13*r**2 + 7*r - 2. Calculate the remainder when q(13) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 21 = 4*t - 11, t - 5*r = 30. Suppose 0 = 3*d - 8 - t. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2573 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*w**3 + 240*w**3 - 526*w**3.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3642.188 days?\nAnswer: 314685043200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28244447 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 29.7331?\nAnswer: 23.78648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56 + (-14)\/(-6) + (-2)\/6. Let q = p - 111. Let y = q - -109. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 5)*(3*d + 3*d - 4*d) + 0*d + d - 2*d + (4 - 5 - 21*d + 9*d)*(-1 - 8 - 2) as l + b*d and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i\/(i\/((i*i\/(i**(-1)\/i)*i)\/i))*i))\/i))**35*i**(1\/3)*i\/(i**(-1\/8)*i)*i*(i**0)**(-20)*(i**(-1))**(-7\/3) assuming i is positive.\nAnswer: i**(5131\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hccdcddccccdcdcddcc. What is prob of picking 1 c and 2 d?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0)\/(-2) - (-783)\/216?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v - 3 - 4*v + v**2 - 7*v + 5. What is the units digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8292 divided by 6.\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32.99 - -186\nAnswer: 218.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + s + 6, -15*d + 18 = -19*d + 5*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1416, -1415, -1414, -1413?\nAnswer: -1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -27, -580, 13 in descending order.\nAnswer: 13, 7, -27, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c + 19. Let l(q) = -5*q - 15. What is w(l(g))?\nAnswer: -20*g - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-12*j**3 + 90*j - 90*j) - 2*j - 3*j**3 + 2*j + 3*j**3 + 0*j**3 - 2*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {d: 4, x: 14}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7135, -14219, -21303, -28387, -35471?\nAnswer: -42555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w = -72*w + 26. Suppose 5*t - 2*y - w = 0, 5*y = 3*t + 5 - 10. Is t != -14\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.5 + 8. Let n = o + 0.6. Let x = 0.3 - 1.3. Sort x, n, 1\/11 in ascending order.\nAnswer: x, 1\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 189 + 198 = 0. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -62*c + 3335. What is the remainder when g(52) is divided by 228\/5 - 4\/(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 37*m**2 + 36*m + 3. Let q be p(-36). Calculate the common denominator of 25\/4 and q\/(-6)*(150\/4 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7*n + 0 - 4 to the form f*n + i and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + 4 + (-5 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/(-1)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/117 - (-3362)\/(-18). Let g = t - -328. What are the prime factors of g?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 2, i: 1, z: 2}. What is prob of picking 1 i and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 12263895 to the nearest 10000.\nAnswer: 12260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3476109 is divided by 278?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 3. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1196076840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5 - 615*x**4 + 23400*x**3 - 256880*x**2 = 0.\nAnswer: 0, 19, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1.35, 3\/13, -0.4, -6?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2134 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28695580?\nAnswer: 2, 5, 1434779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 + 2*z + 3. Suppose 0 = -5*u + 6*u + 3. Let p be l(u). Let r be (0 + p)\/(-3)*3. Solve -s - r*s = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17518 + -17120. Sort -5, -0.09, a in descending order.\nAnswer: a, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(637)*-3 + sqrt(13) + (sqrt(13) - (sqrt(13) + 0)*3).\nAnswer: -22*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-605 + 2)\/3. Is 13 a factor of (-7 + 6)\/(2 + 405\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffppfdfkdkfddqffp. Give prob of picking 3 p.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 + (-9)\/54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j. Let d(x) = -16*x + 5. Let o(y) = -40*y + 12. Let b(r) = 12*d(r) - 5*o(r). Give b(s(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-50 + 33) - -39?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-88)\/(-33) + (-4)\/6. Suppose 0*r = -r + q + 8, 0 = r - a*q - 13. Suppose -r*d - 15 = -66. Calculate the remainder when d is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3*x - 3522*s**2*x - s - 13*x - 132 wrt s.\nAnswer: 12*s*x - 7044*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 420083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(2*sqrt(640)))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*p = 189*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -17*z**2. Let h(y) = 10*y - 3. Suppose 150*a - 60 = 147*a. Let i(n) = 68*n - 20. Let k(v) = a*h(v) - 3*i(v). Give k(m(o)).\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**3 + 34*r**2 - 36*r = 0.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/18 - 17*x**2\/6 - 65*x\/2 + 981. Factor i(r).\nAnswer: (r - 39)*(r + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*t + 28, 4*a - 7*a + t + 73 = 0. Let v be (-4)\/10 + (-1484)\/(-60). Let p = v - a. Which is bigger: 0.4 or p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n + 6. Let r(h) = -4*h - 5. Suppose q + 2*y - y = 1, -2*q + 11 = -y. Suppose 0 = 3*b - a + 17, q*b + 20 + 2 = a. Determine b*w(f) - 6*r(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**5 - 243275*q**4 + 1459515*q**3 - 2189205*q**2.\nAnswer: 5*q**2*(q - 48649)*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/704)\/(87\/(-144))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - z = -4, 716 = -5*r + 120*z + 59*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 13 = 19. Let m(y) = 35*y**2 + 37*y**2 - 12*y**v + 48*y**2. Let f(o) = -o**2. Give m(f(s)).\nAnswer: 108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3119 + -2.2619. Is q not equal to 4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000742609 to six decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 21*k**2 + 207*k - 2216. Calculate s(10).\nAnswer: 1954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 13.53341 hours?\nAnswer: 48720276000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 14*r**2 + 28*r - 69. Let b be c(15). Which is smaller: b or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n + 1407 - 8*n - 997 to the form x + k*n and give x.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -57. Suppose -3*j = b - 7, 0 = j - z*b - 9 - 15. Solve j*g + 0*r - 4*r + 16 = 0, -15 = 2*g + 5*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Let v(c) = 8742*c. Give v(l(w)).\nAnswer: -17484*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76806.\nAnswer: 2, 3, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 3*u**3 + 5*u**3 + 0*u**3 + 2*u**3 - u**3 - u**3 + 0*u**3 + 3*u**3 + (-u**2 - 3*u**2 + 6*u**2)*(-1 + 1 - 2*u) + (2*u - u + u)*(u**2 + 0 + 0).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -991746*y**3 + 1983440*y**3 - 991675*y**3.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-6) + 2)\/(10\/(-653595)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 43*j - 46*j + 7, -2*o = -4*j + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11278 is divided by 636?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34962 is divided by 944?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k*r*t**2 + 78647*k*r + 11433*r*t**2 - 5*r - 2*t wrt t?\nAnswer: 12*k*r + 22866*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-153)\/(-6)*(-60)\/90. Which is the second biggest value? (a) 2\/7 (b) m (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2667833979854 and 24.\nAnswer: 2667833979878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 49 + 34*p)*(4*p - p - 2*p)*(0 + 14 + 1).\nAnswer: 510*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71887 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**2 + 465*a + 910 = 0.\nAnswer: -91, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -110737.36?\nAnswer: 22147.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -7.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*t + 5*n, -5*t - 4*n - 13 + 37 = 0. Solve 2*v + 4*f + 3 + 11 = 0, 20 = -4*v - t*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*i - 5 = -8, 2*r + 2*i + 2 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113177797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = f + 29, -5*f = -3*m + 33 + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 4 (b) 1\/3 (c) -1\/10 (d) 3\/425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 6 - 142)\/(-1). Let j = y - 66. Which is bigger: j or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -17 (b) 4 (c) 3 (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 168, -24, 0, -5 in increasing order.\nAnswer: -24, -5, 0, 9, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - 4*k + 24. List the prime factors of q(5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(98) - sqrt(98)) + 0 + 1*(-4 + sqrt(98)).\nAnswer: -4 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 123 = 3*d. Suppose 0 = -4*b + d + 3. Suppose 2*n - n + 4 = 0, -s - 4*n - b = 0. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/28 and -17\/783006.\nAnswer: 1566012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (44\/6)\/(18931\/6303 + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176897 and 3108.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**3\/3 + 3603*s**2\/2 - s - 223. Let l(p) = 2*p. Determine m(l(d)).\nAnswer: -4*d + 3603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - 1.21. Let p = 1.36 + 0.34. Let k = a + p. Is k <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 9*t + 35. Let n be d(12). Let a(q) be the first derivative of q**2\/2 + 3. Let s(b) = -b - 2. Give n*a(c) + s(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 490804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14703 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = t + 9*l - 88725, -2*t = -4*l - 177466. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 42. Suppose -3*v = -4*m + c, 5*v + 5*m = -0*v - 50. Let p(x) = x - 8. Calculate p(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -962894, -962903, -962916, -962933, -962954?\n\"Answer: -2*m**2 - 3*m - 962889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -23, -53, -99, -167, -263, -393?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 21*g - 7764. What are the prime factors of g?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**9\/37800 - c**8\/16800 - c**7\/6300 + c**6\/1800 + c**4\/3 + 11*c**2. Let j(h) be the second derivative of y(h). Factor j(a).\nAnswer: 2*a*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 5:23 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*z - 2*z - 280, 0 = -2*h + 8. Let p = -43 - z. Let l = p + -35\/4. Which is bigger: 1\/16 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/9 - 76*d\/3 - 464\/9 = 0.\nAnswer: -2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let o(m) = 174*m. Determine o(n(b)).\nAnswer: 348*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 405 + -405.05. Let b = 28.95 - 30. Let w = q - b. Is w bigger than 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 531112243?\nAnswer: 531112252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 43*o + 197. Let s be b(-15). Sort 0, s, -42, -4 in ascending order.\nAnswer: -42, -4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, 1 y, and 1 q when four letters picked without replacement from {u: 1, q: 4, r: 3, y: 12}?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2915\/7 + 8752\/21. What is the third smallest value in -0.5, -4\/35, 2, -2\/15, d?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16965 and 1167105.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -2, 0, -38.\nAnswer: -38, -3, -2, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 + 3)\/(-2 - (-1)\/1). Let q(b) = b**3 - 11*b**2 + 7*b + 22. Let l be q(r). Let m(j) = j**3 + 9*j**2 + 3*j + 15. What are the prime factors of m(l)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 4. Suppose -6 = -5*m + 29. Let p = m - 10. Determine a(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 149.\nAnswer: 11\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 6, 2*a + 19 = -5*p + 25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17187 is divided by 16775?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*1*(-10 - (-468)\/45). Sort 256, -5, -2, d.\nAnswer: -5, -2, d, 256","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 140. Let j(v) = 142. Let r(q) = -4*j(q) - 5*x(q). What is r(-27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146089278, -292178553, -438267828, -584357103, -730446378, -876535653?\nAnswer: -1022624928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 22*i**2 + 21*i - 13. Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 - 4*i - 4.\nAnswer: -4*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 66. Let w be n(31). Solve b - w*t - 1 = -t, 4 = -2*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4003351 (base 6) to base 2.\nAnswer: -101101110000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14045*v**2\/6 + 69430*v - 514830.\nAnswer: -5*(53*v - 786)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 0.111?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625 = -67*p - 313 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 21*c + 1\/35*c**5 - 4\/7*c**4 + 24\/7*c**2 + 0 - 2\/21*c**3. Solve q(g) = 0 for g.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-32.6269119.\nAnswer: -3.26269119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4143, -4142, -4141, -4140, -4139, -4138?\nAnswer: -4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14256 + -6277. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -j - 20, 5*j + 399 = 3*c + 333 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 37 = 41*n. Let h(m) be the first derivative of 5 + 9\/2*m**n + m. What is the first derivative of h(x) wrt x?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443743350 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 41. Let z = -17.07 - s. Let p = 0.03 - z. Which is the closest to p? (a) -5 (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -541*i + 828. Let q be j(1). Calculate the highest common divisor of 1271 and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-21))\/(2\/(-7)). Suppose -4*k + 392 = -r*m - 100, -m + 115 = k. Suppose 2*b + 2*b = 60. What is the remainder when k is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkdpapddkbkd. Give prob of sequence pa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**4\/4 - 23457*i**3\/2 - 61105477*i**2\/4 + 20384133*i - 6796449.\nAnswer: -(i + 2607)**2*(3*i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362485361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 331261583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -22*n**2 - 5*n + 7. Let a(l) = 27*l**2 - 4*l + 27. Let d(k) = -5*k**2 + k - 6. Let w(m) = -3*a(m) - 14*d(m). Determine -5*w(x) + 2*z(x).\nAnswer: 11*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6744*f + 255. Let o be q(-6). Let r = 65716 - o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 826197*i - 825648*i - 8784 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*2 - -1. Let u be ((-240)\/d)\/((-4)\/(-18)). What is u rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + 0. Let a = 15133042.3000047 + -15133039. Let n = q - a. Round n to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 13.3. Let u = -0.3 - n. Let w = 4 + -4.4. What is the closest to -0.2 in u, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4037006 to the nearest integer?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 27\/2*y**2 + 10 + 0*y. Let w(c) = 4*c**2. What is p(w(v))?\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2. Let u(f) = f + 3*f - f - f. Let c(z) = -z. Let m(q) = 13*c(q) + 6*u(q). Calculate m(h(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17048732, -0.3 in descending order.\nAnswer: 17048732, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*o**3 + 1817*o**3 - 610542*o**2 + 610542*o**2.\nAnswer: 1583*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 6. Let c be l(-4). Let f(j) = -2*j**3 + c*j**2 - j**2 + 1 - j + 3*j**2 + j**3. Determine f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 40 = -3*y, 37 - 2 = y - 5*h. Suppose -4*n = n - y. Factor 1 - 2 + s - 2*s + s**3 + s**n.\nAnswer: (s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 1510*o**2 + 100965*o - 2022480.\nAnswer: 5*(o - 16)*(o + 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*b**3*h + 4*b**3 + 8*b**2*c*h + 9*b**2 - 2*b*c*h + 2*b*c wrt h?\nAnswer: 10*b**3 + 8*b**2*c - 2*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -27065.\nAnswer: 2\/27065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 1. Suppose -2*s = 4*g + 28, -g - 11 - 41 = 5*s. Let u be w(s). Solve -2*l = -4*d, -6*l + l + d = u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n - 11 - 6 + 4*n - n - 4*n. Let r(c) = c**2 + 27*c + 36. Let p(y) = -5*j(y) - 2*r(y). Let p(l) = 0. Calculate l.\nAnswer: -1, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/10, 1\/3 in ascending order.\nAnswer: -3\/10, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 91 = 133 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x**3 - 1615*x**2 + 5710*x - 4760 = 0. Calculate x.\nAnswer: -68, 7\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**3*v*v**7*v*v*v**(2\/3)\/v**(-7) assuming v is positive.\nAnswer: v**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -918 - -918.5. What is the biggest value in 80, n, -4?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y. Suppose 5*b - 4*v + 1 = y, 3*b + 4*v = 4*b + 13. Calculate the least common multiple of (-2)\/(b + -2) + 11 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 964650*t**2 - 68*t + 184526879?\nAnswer: 1929300*t - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 2*r)*(0*r + 4*r + 0*r)*(5 + 0 - 6)*(0 - 2 + 0).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 23 = i, 3*i - v + 85 = -0*v. Let c be ((-11)\/4)\/(i\/464). Suppose c*x - 40*x = 16. What is the least common multiple of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000747031 rounded to six dps?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l - 17. Suppose -3*m + 38 + 7 = 0. Let h(w) = -11 - 36*w + m*w + 44. Let y(d) = 2*h(d) + 5*s(d). Differentiate y(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32500016 to the nearest integer?\nAnswer: 5701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52731\/(-24570) + (-90)\/(-50))\/(1\/1 + -4).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:31 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -32. Let q(r) = -f*r - 13 - 13 + 26. Let x(y) = 2*y**2. Give x(q(u)).\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqq when three letters picked without replacement from {q: 4, s: 4, g: 4, o: 3, h: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 497*h**2 - 333*h. Let g(d) = 3*d**2 + d. Let n(v) = -c(v) + 3*g(v). What is the second derivative of n(o) wrt o?\nAnswer: -976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 5*q**4\/12 + 476*q. Let i(v) = -110*v + 1. Determine a(i(j)).\nAnswer: 60500*j**2 - 1100*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 168285439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 212, 236, 284, 362, 476, 632, 836?\n\"Answer: k**3 + 6*k**2 - k + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**6\/480 - g**5\/20 - 3*g**4\/8 + 25*g**3\/3 - g**2\/2 + 46. Let z(u) be the third derivative of h(u). Factor z(m).\nAnswer: -3*(m + 2)*(m + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*m**3 - 4*m + 7*m**3 + 12*m + 3 - m to f + q*m + j*m**2 + d*m**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(-6*sqrt(5)*-2) + sqrt(130)\/sqrt(40)*6.\nAnswer: 37*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus -17.26?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -98.1 times -116994\nAnswer: 11477111.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 294\/46943 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 323818812.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-48) - (-4)\/32*-6. Suppose o + 0 = -4. Let l = -0.055 + 1.055. What is the closest to l in o, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 210*g + 619*g - 204*g - 205*g.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjq when three letters picked without replacement from fjfffjfffffffjqqffff?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 4*t**2 - t + 12. Let r(n) = n**3 - n**2 + 1. Let l(c) = k(c) - 4*r(c). Suppose -5*o - 13 = -53. Let f be l(o). Which is bigger: -3\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 13 = -314. Let j = b - 38. Sort -28, -4, j.\nAnswer: -28, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136) + sqrt(136) + sqrt(136))*2 + -4*1*sqrt(136))\/(sqrt(800)*-1 + sqrt(800) + -6*sqrt(128)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3\/5 + 159184*y**2\/5 - 1584835316*y\/5 + 22156505336\/5 = 0.\nAnswer: 14, 19891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8437*q - 68. What is the thousands digit of b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t + 2. Let a be f(4). Suppose 7 = 3*i + 2*b, b = -4 - 0. Suppose a*j = 1 - i. Which is smaller: -3\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d + 91*d + 165*d + 3945 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -992106?\nAnswer: 99210b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*y + 505*y + 4*c + 46 = -14, 0 = -y - 35*c + 10*c + 9 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9494225*s**3 + 2384097?\nAnswer: -28482675*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 33*j**3 + 8 + 7*j**3 - 14*j**3 - 30*j**2 - 24*j. Let a(c) = -c**3 + c**2. Let q = 13 + -12. Let r(w) = q*s(w) + 12*a(w). Factor r(v).\nAnswer: 2*(v - 2)*(v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.054 - 0.344. Let x = -15.71 + f. Let g = -15.5 - x. Which is the third smallest value? (a) g (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1 + -6)*-1. Let y be (-1188)\/132 + 9*1. Suppose y*s + 2065 = o*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.106 + -9.9016.\nAnswer: -10.0076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let w(i) = -4*i - 7. Let d(c) = 4*c + 7. Let s(r) = -3*d(r) - 4*w(r). Give l(s(g)).\nAnswer: 16*g**2 + 56*g + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*1.341482\nAnswer: 0.670741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -p + 10, -5*r - 4 = -9*r + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrnrrnnnrn. What is prob of picking 2 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oozh when four letters picked without replacement from hmmlooolzomz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -3 + sqrt(448))**2 + (3 + sqrt(448) + -1 + -4)**2 + 2.\nAnswer: -2234 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -813 + 1141. Let n = t + -62. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.0006 + -0.0006. Let r(f) = -f - 5. Let y be r(-7). Let j be 9\/(-15)*y\/3. Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3*d**3 + 138*d**2 - 138*d**2)*(1 - 1 - 2).\nAnswer: 6*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 + 0 + 0 + (-1302 + 1302 + 139*c)*(-5*c**3 - 5*c**3 + 13*c**3) + 2*c**4 + 0*c + 0*c to m*c**3 + t*c**2 + o + z*c**4 + d*c and give z.\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -356*o + 353*o. Suppose -v - 4*m + 12449 = o, m - 20 = 5*m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/40 + f**5\/10 + 13*f**4\/8 + 5*f**3 - 46*f**2. Suppose j(g) = 0. What is g?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 1128*n**3\/11 - 35298*n**2\/11 + 10242*n\/11 - 372\/11 = 0.\nAnswer: 2\/47, 1\/4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from {v: 4, x: 2, b: 8}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/9 - 496*j**3\/9 - 10576*j**2\/3 - 121024*j\/9 - 119072\/9 = 0?\nAnswer: -122, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55647505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**7\/105 + f**5\/30 - 407*f**4\/24 + 105*f**2 - 1. What is the second derivative of c(z) wrt z?\nAnswer: 24*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65533221 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -29905\nAnswer: -13\/29905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from nwtxoxdt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**6\/105 + q**5\/10 + q**4\/42 - q**3\/3 - 70*q. Factor m(u).\nAnswer: -2*u*(u - 7)*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 + 2014*v**3\/3 - 16208*v**2\/3 + 32480*v\/3.\nAnswer: 2*v*(v - 4)**2*(v + 1015)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48193599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 2*a - 2*i, 3*i = -4*a + 11. Solve -2*s - 4*r - a = 0, 2*s - 345*r + 344*r - 8 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3801 and 17\/19005?\nAnswer: 19005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47554476 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -13072*r - 13386. Suppose 5*n = 2*n - 9. Let s be ((-12)\/(-10))\/(n\/(-10)). Which is the third biggest value? (a) r (b) 3 (c) 1.7 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000153604 rounded to seven dps?\nAnswer: -0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -4456\nAnswer: -35648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(7\/5)\/(q\/(q*q*q**10*q*q*q))*(q**(-2\/3))**(-3\/4) assuming q is positive.\nAnswer: q**(159\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1125 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 78\/(-10) + 16\/20. Let x(k) = -33*k + 24. What is the units digit of x(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.0382?\nAnswer: -0.0382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28427 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 1 s when three letters picked without replacement from {y: 3, i: 12, s: 2}?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113\/3 - 37. Let p = -3381\/27112 - 1\/3389. Sort -0.5, a, -3, p in increasing order.\nAnswer: -3, -0.5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3913\/2136 - 1\/712. Sort i, -3, 1\/3 in descending order.\nAnswer: 1\/3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:39 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57634612 divided by 12?\nAnswer: 14408653\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - 1.26. Let v = p + -57.85. Let s = 58.9 + v. Which is the closest to -0.1? (a) 0 (b) 3\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-4932)*1*-2. Let m = -45607\/8631 - j. What is the common denominator of m and ((-4)\/(-18))\/(6\/177)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.7 - -120. Let z = -2.77 - -36.77. Which is the closest to -1? (a) w (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t + 102. What is i(23)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 l when four letters picked without replacement from {l: 6, e: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1765, -1\/2.\nAnswer: -1765, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.071579 to 2 decimal places.\nAnswer: 100.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.615 + -0.085. Let h = 21.72 + 0.28. Let g = 18 - h. Sort x, g, -5 in decreasing order.\nAnswer: x, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 79436.\nAnswer: -1\/79436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 = -4. Suppose v - 12 = x. Suppose -4*t + 4*i + 66 = t, 3*t - 40 = 2*i. Do v and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l - 9 = -99 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1006.858 to 0 decimal places.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**2 + 6*n + 79. Let c(p) = -3*p**2 - 2*p - 27. Let z(k) = 11*c(k) + 4*x(k). Let t be z(5). Solve -15 = t*a + 8*u - 3*u, 4*a + 3 = -u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 4\/13*h**2 - 24\/13*h - 1\/26*h**4 + 35 + 2\/13*h**3. Find t, given that f(t) = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 23. Solve -5*q + o = -15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 23166?\nAnswer: 23154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/3 + 28*v**3\/3 + 30*v**2 - 112*v\/3 - 392\/3 = 0.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -2*z - 139. Let g(v) = 4*v**2 + v. Let b(w) = -7*w**2 - 2*w. Give z*g(q) + 3*b(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3493343?\nAnswer: 7, 383, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47897 - 46237 = 3246*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5847*r**6 - r**5 - 3543*r**2.\nAnswer: 701640*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 6*f + 3. Let d be h(0). Let k = -2 + 4. Let w(i) = d*i + k + 2 - 4*i. What is w(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2 + 2*q + 2. Let f(k) = -7*k**2 + 3*k + 2. What is -4*f(t) + 5*v(t)?\nAnswer: -7*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1856*x - 2123. Does 2 divide l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*s + 105 - 105 + 0*s to z + l*s and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 9*d - 137 + 137 - d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -320*b**2. Let r(q) = 2844*q**2 - 114*q - 114. Let v(n) = 25*n**2 - n - 1. Let l(k) = r(k) - 114*v(k). What is l(z(t))?\nAnswer: -614400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y + 3. Let s(c) be the second derivative of -c**3\/6 - 2*c. Suppose -3*v - 3*x - 16 = -4*v, 2*v - 2*x = 12. Give v*o(z) + 5*s(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**5 + 110*w**4 - 705*w**3 + 1640*w**2 - 1040*w = 0.\nAnswer: 0, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + -5. Let l = -17 - k. Solve -l = o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -4. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25026, -50053, -75080, -100107, -125134, -150161?\n\"Answer: -25027*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11270 and 4657940?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 75*s - 1. Let u(n) = -150*n + 2. Calculate 4*u(v) + 7*w(v).\nAnswer: -75*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-7)*1\/(-32)*28\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149 - -168. Suppose -j*f + 8300 = -1029. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 9.5, 3\/10, 5?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 620?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16 times -0.422144\nAnswer: -6.754304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdyd when four letters picked without replacement from {h: 3, y: 2, t: 1, j: 1, l: 9, d: 3}.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 118?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28055 + 8?\nAnswer: 28060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2. Suppose 0 = -0*h - h + 3. Let b(c) = -c - 3 + 6 - h. Determine b(l(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.04, 1, 0.32, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -22 (b) 4 (c) 0.3 (d) -1\/6 (e) 188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*p + 100 = -3*d - d, 246*p - 15 = -5*d + 247*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5373 = -111*u + 64*u - 152*u. Solve j + u = 5*i + 1, 3*i - 15 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = 33*z + 69 + 56 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3565 - 4?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/1280*-8*(-64)\/(-28).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1, -134, -2\/9, 2, -0.55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 33*l**2 + 121*l + 150. Let p be i(-29). Factor 24\/11*d**3 + 20\/11*d**2 + 0 + 6\/11*d + 2\/11*d**p + 12\/11*d**4.\nAnswer: 2*d*(d + 1)**3*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:04 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2100 - 2100 - 22*y**2)*(5600 - 5600 + 12*y).\nAnswer: -264*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 + 12 + -12)) + 13 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 39*m\/2.\nAnswer: m*(m + 117)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(3 - 2 - 3)*(2*t + t + t + (2 - 5 + 2)*(2 - 2 - 2*t) + t + 0*t + 2*t + 1 - 2*t - 1).\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1068*s - 11627. What is b(11)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838 = 240*y + 118. Solve -y*k + 8 = -4*f, 4*k + 4*f - 3*f = 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -6*m**3 - 10\/3*m**4 + 10\/21*m**7 + 8\/5*m**6 + 4\/5*m**5 + 27 - 4*m**2 + m. Factor l(s).\nAnswer: 4*(s - 1)*(s + 1)**3*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/18)\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1369880, 2739769, 4109666, 5479571, 6849484, 8219405, 9589334?\nAnswer: 10959271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 354840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v + 4 - 526. Let q = v - 52. Let o(h) = -11*h + 11. Let t(y) be the second derivative of -2*y**3\/3 + 2*y**2 + y. What is q*o(c) - 17*t(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (-170 - -150)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 = 4. Let c be (-1)\/(-2) - 2\/k. Solve 5*l = c - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11894666 and 329?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539782, -539026, -538270, -537514, -536758, -536002?\nAnswer: -535246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -84555\/17, 0.3, -1?\nAnswer: -84555\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/10)\/((-5)\/75). Sort o, -4, -5, 0.\nAnswer: o, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(133) - -1*(sqrt(133)*-1 + sqrt(133))) + -3*1*sqrt(133)))\/((2*sqrt(7)*-4 + (sqrt(567) - (sqrt(567) - (sqrt(567) + sqrt(567)*2))))*-3).\nAnswer: 10*sqrt(19)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33505 divided by -1\nAnswer: -33505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {w: 1, q: 1, v: 3, o: 2, s: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2235912 and 598905?\nAnswer: 33538680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 11:41 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/4 - 35*m**3 + 2703*m**2\/2 + 2809*m - 179. Let d(q) = 0. What is q?\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/6 - 5)*-2. Let n(u) be the first derivative of -6*u + u + u**5 + 2*u**2 - c*u**3 + 29 + 2*u**2 - 2*u**4 + 9*u. Solve n(i) = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1613215, 1612656, 1612099, 1611544, 1610991, 1610440?\nAnswer: 1609891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13020 divided by -6\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 37346 - 0.06\nAnswer: 37345.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:56 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1*sqrt(1936) - sqrt(1936)))\/(4*-4*sqrt(128))*4)**2.\nAnswer: 3025\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/9))**(25\/2)*k**(-3\/5)\/(k\/(k\/k**(1\/4))*k))**(2\/41))**(-7) assuming k is positive.\nAnswer: k**(-1169\/3690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**4\/6 + 17*w - 13. Let y(b) be the first derivative of k(b). Let v(i) = -22*i. Give v(y(t)).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 + 7011833*b - 14023662 = 0.\nAnswer: 2, 7011831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1650 divided by 75.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 - 98. Let z = k + 329. Let o be 3*(-8)\/(-3) + -1. Solve -f + s = -o, z*f = -6*s + 2*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0, -5, -7, -1.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y + 440. Calculate d(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 13*g. Suppose -4*h - 2*a + 406 = g, 2*a + 512 = h + 4*h. Is h a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 19*l**2 - 35*l - 13. Let k be t(-17). Solve -5*i - f = k*f + 45, -2*i - 30 = 5*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -186 - -2?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 - 777789*x\/2 - 388896.\nAnswer: 3*(x - 259264)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + ((-324)\/(-4))\/(-1). Let j = d + 86. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s = -250112 - 277407. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by -6.\nAnswer: -172\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -57*30502\/17214 - (1 + -35)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 6. Let v be x + 3\/((-6)\/76). Let n = -5 - v. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47786 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 5. Let w be h(-5). Suppose 14*s + 30 = 17*s. Suppose 15*q - s*q = w. Solve -2*t + 8 = q, 5*z - 4*t = -t - 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -30, 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8484217848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*b = 48, 0*r - 3*b - 4 = -r. Let u(o) = o**2 + 8*o + 7. What is the units digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7.8. Let c be ((-3)\/(-2))\/((-5 + -1)\/((-192)\/(-128))). What is the nearest to g in 6, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4734*x + 85201. Determine s(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/1736295 and -87\/176?\nAnswer: 27780720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -66105245.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 8*b + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 21*m - 3 = 24*m, 5*k = -4*m - 22. Let w = -0.38 - -0.08. What is the closest to k in w, -4, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 1, w: 1, m: 1, h: 1, t: 2}. Give prob of picking 1 l and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 7:12 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 8389167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1260\/(-162))\/(-10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r - 196. Give f(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*5 + -4 + (sqrt(252) + 3)**2.\nAnswer: 41*sqrt(7) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose -4*v + 4*a + 26935 = -5077, -o*v = -4*a - 24012. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16633509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100.33354 - -1.34.\nAnswer: -98.99354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 5686 (b) -0.1 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1374 (base 8) to base 11\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -120 + 0*l**2 + 60 + 59 + 5*l**2 as q*l + k*l**2 + b and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116, -110, -100, -86, -68?\n\"Answer: 2*z**2 - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) 3\/2 (b) -2 (c) -2\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1038385 + -173393. Suppose 5*n - 4*j - s = 0, 2*j + 3*j = -n + 173010. What is n rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2499045*g**3 - 2499060*g**3 + 4490*g**2 - 2249*g**2 - 2241*g**2.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 + -74. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 436*h**4 - 885*h**4 + 4*h**3 - 190 + 451*h**4 - h**2 wrt h?\nAnswer: 48*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1105\/444 - -52\/37. What is the common denominator of n and 5\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11259, -0.1, -12\/7, -1 in decreasing order.\nAnswer: 11259, -0.1, -1, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2153*w + 2153*w + 562*w**3 + 78*w**3.\nAnswer: 640*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/832)\/((-12)\/39).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020122 (base 3) to base 5.\nAnswer: -12113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 668*n**2 - 73*n + 207. Let c be m(3). Suppose -372*o + c = -368*o. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.2, 4, 2\/11, 2\/55 in decreasing order.\nAnswer: 4, 0.4, 2\/11, 2\/55, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**(-13)*(l*l**(1\/6))**(-1\/6) assuming l is positive.\nAnswer: l**(-241\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/(-6)*114\/4. Suppose -2*v + g + 69 = -v, 2*g = -5*v + y. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 9. Let y be 1\/(-56)*25 - -1. Let i = 1\/8 - y. Which is bigger: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3\/7 + 740*g**2\/7 + 60902*g\/7 - 97860 = 0.\nAnswer: -233, -147, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -9. Suppose -2*g - 7*k + 6*k = 5, -3*g - 5*k = -3. Which is the nearest to w? (a) -0.7 (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/4 - 439*d\/4 - 2245\/2 = 0. Calculate d.\nAnswer: -10, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 1473413531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47815 or 47819?\nAnswer: 47815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202514746 to the nearest integer?\nAnswer: 14231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1030810884964+3\nAnswer: -1030810884961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*1\/2*574\/(-123). Calculate the greatest common factor of 35 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4186 minus -996.164?\nAnswer: -3189.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5881, 0.135, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1717.6 + -1718. Which is the closest to 3? (a) 4 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-406)\/(-1) + -4 + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -343, -335, -313, -271, -203?\n\"Answer: u**3 + u**2 - 2*u - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-3)*4\/(-36)*3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmmoqomqogohomxoqmq. What is prob of picking 1 x, 1 h, and 1 m?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2057)*-5 + sqrt(2057))**2 + 5 + sqrt(2057) + 3 + sqrt(2057) + (3*sqrt(2057) + 5 + sqrt(2057))**2 + sqrt(2057) + -1 + -3.\nAnswer: 473*sqrt(17) + 281838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31715\/2 - 8\/(32\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.2, 4, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164590090 or -2\/7?\nAnswer: -164590090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350256 divided by -87564.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by 97?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 2 m when four letters picked without replacement from hmmhthtthttmtm?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/8)\/19*(-16)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37039*d - 37068*d = 232 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32999169 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5202073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7139*f**2 - 8039*f wrt f.\nAnswer: 14278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 95 = -5*a, -36*a + 2*v = -41*a + 46. Let n(o) = -3*o**2 + 41*o - 40. Determine n(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 255.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1142 = -5*j - 127, 5*j - 8*v - 980 = 0. Solve 202*i + 12 = j*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*a**(-2\/7)))\/a)**17)**(-1\/11)*(a**(1\/2)\/a*a**(6\/13))**(-9\/4) assuming a is positive.\nAnswer: a**(21909\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 16463*r - 17. Let s(w) = -4115*w + 4. What is -17*s(m) - 4*v(m)?\nAnswer: 4103*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10310.99997262 - -10311. What is s rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 691?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2985 + -1802. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80840 by -235.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-30)*((-2)\/(-4))\/((-177)\/472)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.1 - -5.1. What is the nearest to 0 in 4\/9, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/4)\/(-9*7\/17808)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 - 9*g**2 - 4*g - 9. Let d(r) = r**3 + r**2 + r + 1. Let x(n) = 6*d(n) + m(n). Let o be x(2). Solve 3*f = -2 - 7, o*s + 3*f - 11 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1, -29, -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 141*r + 121. Calculate j(-67).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*v - 5*s, -222*s = -4*v - 220*s - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195954?\nAnswer: 2, 23, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101201 (base 3) to base 14.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8518242 divided by 2\nAnswer: 4259121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32826553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 - 5 - s + 16*s**3 - 5*s**2 - 8*s**3 - 4*s**3 + 3*s**2 in the form a + p*s + u*s**3 + x*s**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 14*y - 17. Let p be x(-11). Suppose 3*o - 7*o = -20. Let j = o + p. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*s**4 - 130582*s**3 - 3*s**2 + 178094542*s wrt s?\nAnswer: 288*s**2 - 783492*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8286 > 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1566, 1567, 1568, 1569, 1570, 1571?\n\"Answer: v + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n = -25*n + 59*n + 3010 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3) + -11 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/65 in -1, 6, -103, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = 3, 3*j + 34780 = 2*s. What is the thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 16545*a + 115844. Determine h(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3\/5644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 4. Let r(x) = x + 3. Suppose 5*o + 28 = 4*g, -4*g + 2*g + 8 = -o. Give o*r(d) + 3*i(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532 divided by 5.\nAnswer: 532\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9 = 5*l. Let x(n) = n + 1. Let j be (-145)\/87 - 5\/(-3). Let f be x(j). Sort l, f, 2.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s - 15*s + 13*s + 5 + 8*s**2 - 8*s - 6*s**2.\nAnswer: 2*s**2 + 21*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvoh when four letters picked without replacement from vvvfhovcvev?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 15*i + 88 = 0. Let q = i - -29. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*j = -0*j + 50, 0 = -4*w + 2*j + 200. Let k = w - -35. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2800) + sqrt(28))\/((sqrt(4) - sqrt(36))*-6) + sqrt(49)\/(sqrt(63) - sqrt(7)) + sqrt(7) + -1*sqrt(112))**2.\nAnswer: 16807\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1727*h**2. Let v(q) = -138*q**2 - 5. Give v(l(n)).\nAnswer: -411589002*n**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -356, -4, 18, 5 in descending order.\nAnswer: 18, 5, -4, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -255. Let z = p - 253.0219. Round z to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 28*l - 2. Let y(k) = -k**2 - 12*k**2 + 17*k**2 - 10*k**2. Give w(y(j)).\nAnswer: -168*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -949 + 2433. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22.6083405 and -0.19.\nAnswer: -22.7983405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 297040505?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 508215818 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 107*z + 494. Determine b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*c**3 + 18\/11*c**2 - 12\/11*c + 2\/11.\nAnswer: -2*(c - 1)**2*(4*c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*z - 2944 = -3494 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4 - -4)\/6)\/(-2). Solve v*n = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110210000121020 - 1112?\nAnswer: -110210000122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 476222 rounded to the nearest 1000?\nAnswer: 476000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -496*p**5 - 11317*p**4 - 2*p**3 - p**2 + 20936964 wrt p.\nAnswer: -29760*p**2 - 271608*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:24 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5184 and 18?\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -7*t**9\/24 + 89*t**5\/60 + 5*t**3\/6 + 11*t**2 - 33. What is the third derivative of n(m) wrt m?\nAnswer: -17640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 117\/(-15)) + (-7 - -4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -794, -778, -740, -668, -550?\n\"Answer: 2*b**3 - b**2 + 5*b - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3512.329 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -105 times -53\nAnswer: 5565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g - 10. Let l be i(-2). Solve l = -3*x + 14 - 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 2*r + 2*r)*(2 + 2 + 0) + 4*r - 2*r + r + r - 2*r + 4*r - 1 in the form j + u*r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -620 + 435. Is -185 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6250 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s*s*s**(-28)))\/s)\/((s\/(s*s**(-5\/7))*s)\/s))\/(s**(-21)*s*s**(-16)) assuming s is positive.\nAnswer: s**(415\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 275*d**2*f*l**2 + 3208*d**2*l - 2*d*f*l - 2*d*l**2 + 5*d + 2*f*l**2 + 2*l**2 wrt f?\nAnswer: 275*d**2*l**2 - 2*d*l + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -1840589.\nAnswer: -25768246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = 4*w. Suppose 0 = -2*k + k - 3*y - 2, w*k - 12 = -4*y. What is the second derivative of 0*t**4 + 7*t + 0*t + t**k - 4*t**4 wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66242784 by 6.\nAnswer: 11040464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57824.96 litres?\nAnswer: 57824960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3174523 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 45*k**2 - 41*k + 8. Let j be m(-4). Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03087858 rounded to four dps?\nAnswer: 0.0309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3248 + -3243. Solve -11*w = -a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 108 = -30. Let s = f - 27. Is s bigger than -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1917906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6 - -3) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/4625844 and 79\/8376?\nAnswer: 3228839112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613712005 to the power of 1\/3, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l = 19*l. Let r(i) = 3 + 4 - 2*i + i. Calculate r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263 - 280.3. Let l = -16 - n. Let p = 0.9 - l. Which is greater: p or -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 7*i**4\/12 - 4*i**2. Let b(s) = -s + 10. Let v be b(7). Let x be r(v). Calculate the highest common divisor of x and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*2 + (10 - (15 - -8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9328*g + 3908425. What is w(419)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5229136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109687442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 9*a - 13. Determine x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-5*(-1 + sqrt(17)))**2 + sqrt(2448)*1)*-1)*1*2.\nAnswer: -896 + 76*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r**5\/6 - 22*r**4\/3 + 163*r**3\/6 - 38*r**2\/3 - 6*r = 0 for r.\nAnswer: -9, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3306168297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2586*f**3 + 1467*f**2.\nAnswer: 15516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*n + 276 = k, -5*n - 284 = -4*k. Let i(d) = -66 + k - 5*d. Let t(u) = 3*u. Calculate i(t(v)).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006722889192 rounded to six dps?\nAnswer: -0.006723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - n + 2 + (1 + 0 - 2)*(2*n + 0*n + 0*n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g - 3*g + 4*h, 3*h = 4*g - 2. Let l(u) = u**3 - 12*u**2 - 13*u - 5. Let y be l(13). Sort y, g, -2 in increasing order.\nAnswer: y, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o - 22 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 10 = -17*o. Suppose -j - 2 = 4*k, -2*k + 5*j + 6 = o*j. Put 2, 6, k in increasing order.\nAnswer: k, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(2 - (-1 + (-7)\/(-2))). What are the prime factors of 2 + 264 + 7 + v?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7378958 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 46*j**2 - 273*j. Let q be b(7). Let q + 1\/7*c**2 - 2\/7*c - 1\/7*c**4 + 2\/7*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}