diff --git "a/data/dm_maths/full_data/10048_11255.jsonl" "b/data/dm_maths/full_data/10048_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10048_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the closest to -0.83? (a) -3 (b) 0.5 (c) -15 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101110112020 + 1?\nAnswer: -101110112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8544, -2, -31.\nAnswer: -8544, -31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 769227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -425.7 + 424.7. Is j at least -38.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 14635\nAnswer: 73175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/(m**(-2)\/m*m*m))**(-2\/29) assuming m is positive.\nAnswer: m**(-14\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 737580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -90\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1053, 2101, 3145, 4179, 5197, 6193?\nAnswer: 7161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -10. Let z = k + 16. Which is the third smallest value? (a) -1 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3068 and 3186236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -72\/11*g**2 - 2\/11*g**3 - 156\/11 + 230\/11*g = 0. What is g?\nAnswer: -39, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**3\/3 + 30*w + 1. Let a(i) = -i + 3*i - 5*i. Calculate a(v(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 7457126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 25*m**3 + m**2 - 4. Let f be k(2). Suppose -3*l + f + 106 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/16 - 1\/(-2). Put 2, 5, y in descending order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, w: 8, y: 3}. What is prob of picking 1 y and 3 m?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 123*n - 141. Let p(t) = -6*t. What is v(p(z))?\nAnswer: -738*z - 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/4 - l**4\/4 - 3*l**3\/2.\nAnswer: l**3*(l - 3)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 1. Let w(k) = -3*k - 2. Let g be (-2 - 0\/3) + -2 + 32. Suppose -5*b = -5*u, 2*u - 4*b - g = 5*u. Give u*w(s) + 5*m(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n + 2*n**2)*(n + 2 - 2) + 3*n**3 + 2 - 2 - 26*n**3 + 14 - 14 + 2*n**2 - 2*n**3 - 2*n**2 + (0*n**2 - 4*n**2 + 3*n**2)*(-2*n + 5*n - n).\nAnswer: -25*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157370321?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 134523.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 203\/4. Let r = 13 - 13.1. Let q = -36.9 + 37. What is the second biggest value in q, r, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3. Let t(a) = -a**2 - 12*a + 32. Suppose -4*s - 31 = 5*f, 0 = s + 2*s - 3*f + 57. Let u be t(s). Let x(p) = -3*p**3. Give u*x(g) - 11*z(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, z: 7, l: 5}. Give prob of sequence lkz.\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -2, -21, 96 in decreasing order.\nAnswer: 96, 4, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/1425021 and -35\/234.\nAnswer: 8550126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -572\/893?\nAnswer: -572\/893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**2. Let s(y) = y**2 - 18552*y. Calculate s(o(r)).\nAnswer: 36*r**4 + 111312*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o + 13*o - 12*o - 80 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24801126?\nAnswer: 2, 3, 7, 367, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 18 + 80)*(4*y + y - 4*y) - 3*y - y + 2*y - y + 0*y + 0*y in the form a + u*y and give u.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -10 - (-8 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*s + 13964991 = -103*s - 6248181. List the prime factors of s.\nAnswer: 2, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -3\/35*m**7 + 0*m**3 + 0 - 13\/24*m**4 + 0*m + 0*m**5 + 0*m**6 + 8*m**2. Find the second derivative of v(h) wrt h.\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1 + 779*g - 14 + 13 - 781*g - 816*g**2. Let i(n) = -2*n. Determine i(t(j)).\nAnswer: 1632*j**2 + 4*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 139, 114, 89?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-13)\/156).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296660499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.11 - 0.11. Let r = h + -47. Let t be 1 + 1 + 7\/(-2). Which is the second biggest value? (a) r (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.86 + -0.14. Let h = -2 - -10. Let l = h + m. Put l, -0.4, 1\/6 in decreasing order.\nAnswer: 1\/6, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.933 - -0.433. Which is the nearest to -2? (a) 12 (b) 1 (c) y (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/20 in -4, -2\/23, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -1 + -4)*504\/189. Let z(d) = d**3 - 2*d**2 + d + 3. Let y be z(4). Let w = y + n. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000149527 to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 + -551239.\nAnswer: -551241.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 215514.45 months?\nAnswer: 1795.95375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1311 and -53\/2047161.\nAnswer: 38896059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-9*u**2 - 62 + 62)*(u - 3*u - u) - 10*u**2 - 9*u**2 + 22*u**2 + 3*u**3)*(4 + 1 - 4) in the form r*u + o*u**3 + l*u**2 + g and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 1, h: 1, z: 2, n: 2}. What is prob of sequence hz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6119896881689.6954 + -6120365311693.49539947. Let f = z + 468430009. Let i = -5.2 + f. What is i rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 6 + 1 + 5. Let g(v) = v**2. Calculate g(f(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 155.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12676, -25472, -38230, -50956, -63656, -76336, -89002, -101660?\nAnswer: -114316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.7502*0.22\nAnswer: 0.825044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-489*j + 834*j - 443*j)*(6 - 1 - 4)*(2*j + 6*j - 3*j)*(3 - 1 - 4) to the form v*j**2 + k + m*j and give v.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20488 and -11858.\nAnswer: 242946704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 516?\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8869, -2, -2\/43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2128 + 2717. List the prime factors of c.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140\/177 + -75026\/177. Let m = 428 + h. Factor 2\/3*q + 0 + 8\/3*q**2 - m*q**3.\nAnswer: -2*q*(q - 1)*(5*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -472 + 2*s**2 + 4*s**3 + 7*s - 2*s**2 - 5*s - 5*s wrt s?\nAnswer: 12*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1079\/70 - -3\/35. Calculate the common denominator of c and (18\/(-1020))\/((-4)\/1410*9).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u, -30*u + 29*u + 3 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75526163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2987.\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/11 (b) -3\/230 (c) -0.4 (d) 3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 540 = -14*n - 4*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 11*j + 1\/2*j**2 + 0 - 4\/3*j**3. Calculate i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*r**5 - 49*r**5 + 180*r**5 - r**5 - 3 + 3 + (2 - r - 2)*(r**4 + 4*r**4 - 3*r**4) + 3*r**5 - 7*r**5 + 2*r**5 + 5*r**5 - 3*r**5 - 3*r**5.\nAnswer: 183*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4851*j + 390*j + 1079*j - 930*j + 3 - j - 3 + j + 0*j - 3*j + 2*j - 3*j - j + (4 - 2 - 3)*(-3*j - j + 3*j).\nAnswer: 5386*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l - 1. Let f(c) = 6*c**2 + c. Calculate -3*a(r) + f(r).\nAnswer: 3*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890160 = -0*o - 2*o. Let u = 503002 - 197922. Let p = o + u. What is p rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*z - 6*g + 2*g, -3*z + 4*g = 1. Let q(f) = 2*f - 12. Let o(t) = -4. Let n(c) = z*q(c) - 3*o(c). Let w(r) = -5*r. What is n(w(m))?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-1)\/((sqrt(132)*-4 - sqrt(132) - sqrt(132))\/sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 10, -38, -7280?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -243947822.8 rounded to the nearest 100000?\nAnswer: -243900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 841979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -226, -340, -454?\n\"Answer: -114*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*m + 340*m + m**2 + 217*m - 851*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878604258 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102502013 (base 6) to base 11.\nAnswer: 102862a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15034 + -706626\/47. Let b = 5357\/9071 + o. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/60 - 3*q**4\/8 + q**2 - 8*q. Factor c(i).\nAnswer: -i*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-70)\/20)\/(2\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -47. Let l be (6\/9)\/(3 - 8\/3). Suppose w = 6*w + 20. Sort w, n, l in descending order.\nAnswer: l, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349152 (base 12) in base 6?\nAnswer: 30040542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133298373271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (sqrt(11) - 3*sqrt(11)*6 - (sqrt(11)*1 + -1))**2*3.\nAnswer: -108*sqrt(11) + 10686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 17*b**2 - 1\/60*b**5 + 0*b + 0 + 1\/3*b**4 + 2\/3*b**3. What is w(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**16*u*u**(1\/19)*u*u assuming u is positive.\nAnswer: u**(362\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-12)\/l*l*l**2*(l**3)**(-8\/3))**(-10))**(-3\/19) assuming l is positive.\nAnswer: l**(-540\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.166 and 64.\nAnswer: -10.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 + v. Let h(t) = 2*t**3 - 4*t**2 + 2*t + 2. Let s(m) = -3 + 7 + 2*m - 3. Let x be s(0). Let u(a) = x*p(a) - h(a). Determine u(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2702 and 3190676.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20070 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 4*d - 1. Let p be u(-5). Let i be p\/3*7\/(-14). Which is the nearest to i? (a) 4 (b) -4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*v**2 + 3 - 4 - 6*v**2)*((2 + 0 - 1)*(-4*v + 5*v - 2*v) + v - v + 2*v).\nAnswer: 16*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r**5 + 966*r**4 + 52809*r**3\/2 - 409131*r**2 - 856899*r\/2 - 108702 = 0. What is r?\nAnswer: -33, -1\/2, 12, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-33) + (-16)\/(-24). Let k be 3\/(18\/8)*(-21)\/(-350). Sort k, -1, y in decreasing order.\nAnswer: k, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153946 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101862 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/60 - p**4\/24 - 5*p**3 - 4*p**2 + 17. What is h(0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10115 divided by -687\nAnswer: 10115\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05081 times -1100\nAnswer: -55.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {i: 1, w: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -9 - 18) + (-3 - 17 - 2)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653491559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247030 - 494072 + 247042 - 708*q**2.\nAnswer: -708*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16401, -32922, -49485, -66090, -82737, -99426?\n\"Answer: -21*h**2 - 16458*h + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -23 + 29 + (-5 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b0d + 3e?\nAnswer: 6b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n = -40*n - 18. Let d(j) = j**3 - 2*j**2 - 3*j. Let h be d(n). Which is the closest to 0.2? (a) -2 (b) -1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 - -132. Find the common denominator of 65\/6 and ((-59)\/n)\/((-15)\/(-45)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j + 198 = -250 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0108767512 to 6 dps.\nAnswer: -0.010877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50517729 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*d - 105, -6*a = -5*a + d - 97. Calculate the smallest common multiple of (-48)\/(-6) - 31\/(7 + -8) and a.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*x - 454*x + 32490 = 0. Which is bigger: -1798 or x?\nAnswer: -1798","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 4140411213?\nAnswer: -4140411211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14*n**2 + 12*n**2 - 27*n**2. Let u(t) = -t**2 - 4*t. Give u(d(z)).\nAnswer: -z**4 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10243 and -1075.\nAnswer: -11011225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*j + 148, 3*j + f - 60 - 70 = 0. Let k = j - 3. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-174)\/(-54) - (-28)\/(-126). Let y(f) be the second derivative of 0*f**u - f + 5*f**2 + 31\/12*f**4 + 0. Differentiate y(i) wrt i.\nAnswer: 62*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0408037749 to 5 decimal places.\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6566*d - 6571*d = -5*y, -y + 1 + 9 = d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**3 - 8*t**3 + 2*t + 4*t**3 + t**4 wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 2. Let r = 17 + -15. Let j(i) = -2. Give r*q(y) - 2*j(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -5, 4, 10, -3, 997, 1 in descending order.\nAnswer: 997, 88, 10, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1063936 and 56.\nAnswer: 7447552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b - 92714 - 29290 = 13176. What is b rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5395 a factor of 2642985356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 545300270*h**3 + 795311973*h**2 wrt h?\nAnswer: 3271801620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44278 and 6422.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11245644 by 274284.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.4, 0.6, 255\/7, 8, 5\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 2*q**2 + q - 4. Let f be h(2). Let d = -58 - -63. Sort d, f, -3.\nAnswer: f, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (1 - 1 - -8). Suppose 5*r = 6*r - g. Let t = 14 - r. Solve 0 = -4*j + 4*w + 3 + 13, -4*j + 2*w + t = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14284483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -74, 31, -4, -5, 1 in descending order.\nAnswer: 31, 1, -2, -4, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52192511 is divided by 930?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/7, -1\/2, -5, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1145, 1137, 1129?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**3 + 192*r**2 + 4140*r - 8541. Suppose n(k) = 0. What is k?\nAnswer: -10, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59744696 and 283?\nAnswer: 59744696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/32))**(3\/14) assuming s is positive.\nAnswer: s**(99\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37833 less than 37907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 313 + -4067\/13. Let g = 216 - 215.6. Let r = -0.34 - 0.06. What is the biggest value in c, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-1\/4))\/g)\/g**(-8\/3))**(-39))**(-2\/19) assuming g is positive.\nAnswer: g**(377\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 948 and 20594668?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -25. Solve -z*g = -4 - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/42 - 23*i**6\/30 - i**3\/6 - 21*i**2\/2 - 39*i. Find the second derivative of x(g) wrt g.\nAnswer: 20*g**3 - 276*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95923058 to the nearest integer?\nAnswer: 9794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4973*b**2 + 2494*b**2 + 2482*b**2 + 829 + (-3 + 2 + 0)*(-2*b**2 + 2*b**2 - 2*b**2) - 3*b**2 - 2*b**2 + 7*b**2.\nAnswer: 7*b**2 + 829","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1067*c**2 + 228*c**2 - 1200*c**2.\nAnswer: -2039*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -31081\/198 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107583 is divided by 107513?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 13 = -5*y + 2*z, -3*z = 3*y - 12. Let -88 + 20*d**2 + 48 + 32*d + 56 + 4*d**y = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y - 240 = 206*y - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4 + 29 + 14*g - 11 - 8 - g**2. Calculate x(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = z - 2*z. What is the second derivative of 13*o**4 + 1195*o**z + o - 1195*o**2 wrt o?\nAnswer: 156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(7) + 2))**2.\nAnswer: 56*sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 + 4 - -2 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412312111 + -30?\nAnswer: -412312141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11186569 by 9719.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53709, 107180, 160643, 214098?\n\"Answer: -4*w**2 + 53483*w + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**4 + 40070*z**3 - 80125*z**2 + 40060*z = 0.\nAnswer: 0, 1, 8012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294941 divided by 4.\nAnswer: -294941\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-4) + 3 + -2. Let k(f) = -6*f**3 - 2*f**2 - 4*f - 3. Let d be k(-1). Which is the smallest value? (a) d (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/246146 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3027266?\nAnswer: 2, 11, 37, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*w = 537*w - 690 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -2\/23, 232 in descending order.\nAnswer: 232, -2\/23, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 583.8305 tonnes?\nAnswer: 583830.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -157, -293, -461, -655, -869?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.95 + -0.05. Let d = -0.16 - -1.26. Let v = 0.1 - d. What is the third biggest value in s, -3, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4621607?\nAnswer: 281, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.16, 4, -3, 1\/11.\nAnswer: -3, -2, 1\/11, 0.16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -295, -569, -839, -1111, -1391?\n\"Answer: -s**3 + 8*s**2 - 291*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -985 + 1468. Is 80 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 5*j + 6. Let b be t(-6). Suppose -4*h - h + 40 = b. What is the remainder when (-206)\/1133 + (-299)\/(-11) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.1 + 56.981. Let c = 0.519 + z. Put c, 1\/3, -1\/4 in descending order.\nAnswer: c, 1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -310, -634, -966, -1312, -1678, -2070, -2494, -2956?\n\"Answer: -v**3 + 2*v**2 - 323*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 + 13*d**2 - 26*d**2 + 14*d + 5*d**2 + 4*d**2. Determine w(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7048, 7056, 7068, 7084, 7104?\n\"Answer: 2*k**2 + 2*k + 7044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by 2907.\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*h - 86 = 0, 2*z + 4*h + 268 = 194. Which is greater: -30 or z?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 2*g + 3. Let c be d(3). Suppose c = -3*f - 2*f - 4*k, -3*k = 5*f. Which is smaller: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = -2*c, -4*r - 2*c = -11 + 3. Let u = 2\/7 + -47\/140. Is u smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/231310800 and 11\/264355200.\nAnswer: 1850486400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a7 - -1c91?\nAnswer: 1ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3365500 (base 7) to base 14\nAnswer: -acd70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**3 - 5*x - 5. Let q(y) = 12*y**3 - 6*y - 6. Let s be (60\/(-9))\/(6\/306). Let g be s\/(-50) - (-32)\/(-40). Calculate g*q(v) - 7*j(v).\nAnswer: -5*v**3 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20331133012 (base 4) to base 8\nAnswer: 10753706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/8 + 8*k**2. Let z(t) be the second derivative of -t**4\/12 + t. What is l(z(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 1666*m - 1668.\nAnswer: 2*(m - 834)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 8. Let h be m(-13). Suppose -3 = -0*z - 3*z + 3*a, h*a - 10 = 0. Which is smaller: z or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-125))\/(((-10)\/30)\/((-10)\/3)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141970515 and 290?\nAnswer: 283941030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985 = 6*n + 997 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grgy when four letters picked without replacement from roozzoodyoogozgrooo?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122\/5 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -1 - -4*1. Let q be 48\/u - (0 - 1). Suppose -j + q = -0. Calculate the remainder when 17 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 521, 1813, 4331, 8483?\nAnswer: 14677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17033*l**5 + 320*l**2 + 2412*l - 1922.\nAnswer: -340660*l**3 + 640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c2057 (base 15) in base 13?\nAnswer: -9ab262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/(-22*2\/(-154)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -29*x - 68 + 29 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 56 (c) 6\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 648828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f. Let h(s) = -2*s**2 + s**2 - s**2 + 0*s**2. Calculate b(h(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*d + 0 + 0 + 656*d + 230*d as w + t*d and give t.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 104, 315, 636, 1073, 1632, 2319, 3140?\n\"Answer: k**3 + 49*k**2 + 57*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 8:54 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57043129?\nAnswer: 11, 13, 398903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyd when three letters picked without replacement from dddyddyddydd.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79218178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 10:38 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z - 2. Let f be l(4). Let y = f - 6. Suppose -2*p + y*p = 46. Solve 0 = 4*b + 5*n + p, 0*b + 2*b + 3*n = -13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9 - 2.9. Sort -1.1, f, 1, 0.\nAnswer: -1.1, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2791636 meters to micrometers.\nAnswer: 279163.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 15*g**2 + 8*g - 30. Let d be l(-15). Let h = d - -571. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 1\/1867, 0.05 in decreasing order.\nAnswer: 0.05, 1\/1867, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*v - 4, 4*v + 5 = -r - 13. Let m(t) = -39*t - 2. Let q be m(v). Calculate the greatest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + y = -3*k - 7, -3*y + 39 = -4*k. Does 10 divide k\/63 + 21424\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -493, 0.1, 394104.\nAnswer: -493, 0.1, 394104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y - 8 = -5*q, -4*y = -2*q + 6. Let k be y - (-2 + 2\/(-2)). Suppose -54 = k*w - 4*w. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13010167*q**3 - 54004*q**2 + 9*q + 3.\nAnswer: 78061002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 647, 649, 651, 653, 655?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -419400 divided by 15\nAnswer: -27960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3\/c**(3\/7) assuming c is positive.\nAnswer: c**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(128)\/(sqrt(40)\/sqrt(5)))\/(sqrt(88)\/sqrt(539)).\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 30*i**2 - 2*i + 43. Determine w(30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let r(j) = -35*j**2 + 5*j + 5. Let y(i) = 35*i**2 - 4*i - 4. Let n(c) = 4*r(c) + 5*y(c). Determine n(t(z)).\nAnswer: 140*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2511, -5020, -7529?\n\"Answer: -2509*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5722, -5702, -5682, -5662, -5642?\nAnswer: -5622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12*g**3 - g**2 + 2*g - 1. Let x be 1*(4 - 2) - 18. Let p = -15 - x. What is the remainder when 46 is divided by f(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252111*c**3 + 254730*c**2 - 6.\nAnswer: 1512666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 14*l + 4*l. What is the lowest common multiple of l and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*h = -8, 2*k + 1148*h = 1153*h - 19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, 1, 1\/8 in ascending order.\nAnswer: -239, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 3}. Give prob of sequence sl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.5 - 34.3. Let v = 13 - 12.1. Let x = v + -0.4. What is the nearest to f in 3, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-6 - -1) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - (-31 + -48)) + 105 + -3.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 529092.2ms?\nAnswer: 529.0922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27094270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-11 + (3 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/64136 and 13\/18.\nAnswer: 577224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 15 - 4*v - 18*v**4 + 75*v + 0 + 19*v. What is the derivative of b(p) wrt p?\nAnswer: -216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -30, 1.\nAnswer: -30, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 8*t**2 - 9*t + 1. Let i be r(7). Let n = -7 - i. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 58, 72, 92, 118, 150?\n\"Answer: 3*c**2 + 5*c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 90 = i. Solve i*p - 1 = -4*o, -2*o + 5 = 2*p - 5*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60, -126, -188, -246, -300, -350, -396?\n\"Answer: 2*z**2 - 72*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -11*d**3 - 9\/2*d**4 - 3*d**2 + 15\/2 + 23\/2*d - 1\/2*d**5 = 0?\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/210 and (-24)\/(-2) + 106290\/(-8700)?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1354*l**3 - 388*l**2 + 388*l**2)*(3*l - 2*l - 2*l).\nAnswer: 1354*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o = -17*o - 45. Suppose o*z - 4*z + 54 = 0. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*l - 2*a + 81, -a = 5. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 930.4 * 860\nAnswer: 800144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2967\/21 + 4\/28*-2. Let m = a + -58. What is the remainder when m is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232.9 - 239. Which is greater: -1\/4 or f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.17 and 0.7.\nAnswer: 0.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1061, -2119, -3267, -4505, -5833, -7251?\n\"Answer: -45*r**2 - 923*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 13. Let f be x\/7 - (1 + 1). Let s be (25\/(-20) - -2)\/((-54)\/(-16)). Which is the nearest to s? (a) f (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343635 is divided by 3067?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(-10) - (-2)\/(-5). Suppose -15*l + 11475000 = -28*l + 64*l. Suppose 2*p - l = w*p. What is p rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - v + 5, 2 = d - 4*v + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 5*k**2 + 9*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5262 + b**2 - 9*b**3 - 5283 - b + 0*b**3 in the form k*b + t + j*b**2 + g*b**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -222*b - 4. Suppose -12 = -2*i - 2*i. Let o be j(i). What is o rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - f**2 + 8*f**2)*(-3*f**2 + 4*f**2 + 4*f**2).\nAnswer: 60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1542)\/15*140\/(-56) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 156918749?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5975*t - 6023*t = -209952. What is the greatest common divisor of t and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.63 + 15. What is o rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5 - (2737020\/20900)\/(-319))*(-10)\/(-16)?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250403138 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1493621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16670037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-160) + (-27)\/(-990).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 2*w**2 + 2*w**2)*(1 + 0 + 0) + (4*w - w - w)*(-2 - 7*w + 2) - 3*w**2 + w**2 + 0*w**2 + (0 + w + 0)*(3*w + 0*w - 4*w).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239 times 0.5?\nAnswer: -619.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1049 = -q - 984, 0 = -3*q + 2*g - 6120. Let y = -1131 - q. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111716 - 30492 = 26*i. What are the prime factors of i?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-172)*147497\/(-672). Let k = g - -340\/129. What is the common denominator of -145\/24 and k?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 460 + 6)*(-27)\/(-4). Suppose 27*r - 18*r - v = 0. List the prime factors of r.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 29 = 4*g. Let v = -66 - -69. Suppose -20 - 170 = -3*k - 4*r, -v*r - 245 = -4*k. What is the remainder when k is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4573*b. Let n(z) = -93*z**2. Determine i(n(r)).\nAnswer: 425289*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 2*n + 2*n**4 + (8*n**2 + 4*n**2 - n**2)*(-3 + 2*n**2 + 3) as b*n**2 + k*n + w*n**4 + s*n**3 + u and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 6*f - 2*f + 8*f + 3386*f**3.\nAnswer: 3386*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/12, -2\/415, 2\/3, 6\/5?\nAnswer: -2\/415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 125231?\nAnswer: 500924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 768*v**3 - 36088*v**2 - 74496*v - 37636.\nAnswer: -4*(v - 97)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 15 - -15) + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99701, 199270, 298839, 398408, 497977, 597546?\n\"Answer: 99569*l + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 46\/16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 3850?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1311392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58011 - -82983. What are the prime factors of s?\nAnswer: 2, 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 27*j**2 + 13*j - 2. Let n(t) = -27*t**2 - 17*t + 5. Determine 2*n(h) + 3*p(h).\nAnswer: 27*h**2 + 5*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*h**5\/2 + 21*h**4\/4 - 3*h**3\/4 = 0. Calculate h.\nAnswer: 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 2*r + 1. Let i(f) = -f**2 - 2*f - 9. Let z(x) = 2. Let a(c) = -i(c) - 4*z(c). Give -3*a(j) + 2*p(j).\nAnswer: j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 13.2?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:25 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/151356 and 77\/1210848.\nAnswer: 1210848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*k + 2*j, -6*j - 24 = -2*k - j. Suppose 0 = -3*s - 11 - k. Let c(x) = x**2 - x - 5. Is c(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + (-53)\/2. Let h = m + 29. What is the nearest to -1 in 1\/4, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) -6 (b) 2\/9 (c) 17 (d) 13 (e) -39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:30 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 6*x**2 - 9*x - 3. Calculate the remainder when (-1770)\/4*2*(-1)\/3 is divided by u(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 679.7 * -12\nAnswer: -8156.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.2192 minutes to milliseconds.\nAnswer: 16633152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 15.3. Let d = -15 + o. What is the closest to d in -2, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65034.\nAnswer: 2, 3, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10525 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406 by -104.\nAnswer: 203\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*p**4 - p**2 - 5*p**3 - 2*p**3 + 7*p**3 wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 h when four letters picked without replacement from hxxxxxxxxxxxxxxxxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/2, 2\/11, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2 = 2*w, 3064*g - 3069*g + 20 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 1. Let n(h) = 3*h**2 + h - 4. What is 9*i(x) - 2*n(x)?\nAnswer: 3*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 25*x**2 + 268*x - 180. What are the prime factors of l(-18)?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s**3 + s**2. Let u(p) = p**2 - 9*p + 12. Let t be u(8). Let j be 12\/16 + 1\/t. Determine b(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376454 divided by 2\nAnswer: -188227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 - 5*v + 3. Let z = 5 - 1. Let n be k(z). What is the tens digit of 351\/n - 9\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 13, f: 2, q: 2}. What is prob of picking 1 y and 1 q?\nAnswer: 26\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -376*u - 28*u - 27*u in the form i + c*u and give c.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 1 - 1. Solve -w - 5*r + 21 = 0, p = -4*r + 9 + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 7 + 17. Suppose 3*h - g*h - 3 = 0. Let m = 2 - h. Is 4 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/15847 and 22\/371?\nAnswer: 110929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*s - 138, 0*s = 4*d + 5*s + 114. Let h = 28 + d. Factor 22\/7*v + 32\/7*v**2 + 4\/7 + h*v**3.\nAnswer: 2*(v + 1)**2*(7*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 11*w + 16 = 0. Suppose -t = -j - 0*j + 1, -24 = -w*j - t. What is the third smallest value in 1, j, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4737 = -22*s - 5089 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 7*n = 3*a + 19, -4*n + 29 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 1. Let y be o(1). Let t = 5 - 4.4. Let s = -0.4 - t. What is the nearest to y in 5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -516, -972, -1562, -2286, -3144, -4136?\n\"Answer: -67*n**2 - 255*n - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 3 - 3 + (-c**3 - 2*c**3 + c**3)*(2*c - 2*c - 2*c) + 6*c**4 + 10*c - 10*c + (35*c + 38*c - 77*c)*(2*c**2 - c**3 - 2*c**2).\nAnswer: 13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (78\/(-30))\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/30 + 303*p**2. Let d(b) be the third derivative of -2*b**5\/5 - 2*b**2. What is j(d(s))?\nAnswer: -1152*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50852984.\nAnswer: 2, 7, 13, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 - 1212879*l - 13342032 = 0. What is l?\nAnswer: -11, 404304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*a - 5 + 3, 0 = 4*n - 4*a - 56. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzdzdddzdddz. Give prob of sequence zd.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(254\/(-246) + 1). Let m = -298\/1599 - u. Let v = -171 + 515\/3. Which is the closest to 9? (a) v (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15323 divided by 4?\nAnswer: 15323\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 19 - 76 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-750)*-30)\/(((-27)\/(-60))\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-21))\/(((-8)\/(-48))\/((-70)\/120)). Factor -15\/7*l**y + 3\/7*l**3 + 18\/7*l + 0.\nAnswer: 3*l*(l - 3)*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(504))\/sqrt(8).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96090296 divided by 2?\nAnswer: -48045148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 972 = 3*n, l + 0 = 1. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-3)\/8*(24 - 20). Solve -l*i - n = -6*i, 4*i = -n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/1)\/(5 - 346356\/69270). Suppose j = 10*l + 4345. Is l a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -y + 3, -2*o + 18 = 15*y - 13*y. Solve y*k + 8 = 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8617, -6.2 in decreasing order.\nAnswer: -1, -6.2, -8617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/((-2706)\/36)*2\/(-18)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/15 - 2*x**3\/3 - 5*x**2. Differentiate v(g) wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2783?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -7*h - 56 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b - 6. Suppose 5*z - 16 = z. Suppose -z*i = i + 30. Let s be p(i). What is the highest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132) + sqrt(132)*3*-4 + sqrt(132))\/sqrt(12))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 33 = 2*a, -2*a + 0*a = -q - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66 + 59 + (-11)\/(-2))\/((-9)\/12). Put -154, t, -5 in increasing order.\nAnswer: -154, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3636 (base 7) to base 16\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -27, 2, 1.\nAnswer: -27, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 975*c**2 - 14*c - 1. Let d be z(1). What is the highest common divisor of d and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*z = 19, 3*u = 2*u - 2*z + 17. Let s(t) = t**3 + 9 + t - t - 5*t**2 + 0. Is s(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a2344 - -223?\nAnswer: 2a2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -125*x**4\/4 - 925*x**3 - 1095*x**2\/2 - 109*x - 29\/4 = 0.\nAnswer: -29, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.02 + -0.98. What is the nearest to -1\/3 in -0.1, f, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52*(-2)\/(-6)*12\/8. Let l = -9 + a. Suppose 4*g + 235 = 3*d, g + 330 = 4*d - 5. What is the greatest common factor of l and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25537362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 29159*y - 379074. Determine m(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**6\/72 + j**5\/36 - 19*j**2 + 52*j. Let z(m) be the first derivative of i(m). Determine f so that z(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1399*z + 2766*z + 5358*z - 469*z + 1771*z to n*z + t and give n.\nAnswer: 10825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - 63. Let z = f + 359. Suppose 0 = -2*y - y + z. What is the greatest common divisor of 60 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-7)\/21*-3*-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + (sqrt(7) - (sqrt(28) + sqrt(7)))**2) - 1*(2*sqrt(7))**2.\nAnswer: -84 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-18) - (188\/36 - -4). Let z be q*(-2)\/(-6)*-1. Solve 2*r + r - z = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -39 + (163 - 149)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53762 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -111419 and -111418 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 698 and -2375543246?\nAnswer: 2375543944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c5c + 4a14?\nAnswer: c973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 176*m**7\/35 - 48*m**5\/5 - 326*m**2. Find the third derivative of r(s) wrt s.\nAnswer: 25344*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-3 - 6\/(-3)). Calculate the remainder when (8\/i)\/(14\/(-665)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 10*w + 11. Is 2 a factor of y(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 11 - 10 + 2*l + 1199*l**3 - 4*l to the form r*l**2 + w*l + u*l**3 + t and give u.\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -72654, 2, 0, 3, -2.\nAnswer: -72654, -3, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4 + 47*i**3 + 64973*i**2 - 1404139277*i.\nAnswer: 24*i**2 + 282*i + 129946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - c. Let y be z(1). Let o(u) = 3*u**3 - 4*u - 3*u**3 + 6*u**y + 2*u**3 - 3*u**3 - 1. Let p be o(5). Solve 0 = n - p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65636.\nAnswer: 2, 61, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-288)\/(-56))\/((-3)\/14))\/((-27)\/(-18))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00771649711 to 6 decimal places.\nAnswer: -0.007716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*z - n, -35*z - 25*n - 95 = -34*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 45104.\nAnswer: -1, 0, 45104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18992232 and 8064.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 22*m**2 + 219*m + 108. Give v(-9).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 204. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**3 + 2221*r**2 + 628*r - 1939. What is a(-317)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134662156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d - 72*d + 218*d - 74*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 3696597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -24376049.74 to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6995 + -6991. Which is the nearest to 13? (a) k (b) -0.9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133824083?\nAnswer: 133824083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1562, 3079, 4704, 6491, 8494, 10767, 13364?\nAnswer: 16339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83.32 + -0.08. Let a = z + 83.7. Let q = 0.3 - -0.7. What is the smallest value in q, 1\/5, a, 2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 9289.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 11 = -4. Suppose -2*z + 5*l + 126 = -x, -4*z + 3*l = -219. What is the greatest common divisor of 68 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjjjjjjjjjjjjjjjjjj. What is prob of picking 1 s and 1 j?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*f + 15, 4*f + 12 = -0*f - 4*l. Suppose f*p + 4*p = 128. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000605006 to 7 decimal places.\nAnswer: 0.0000605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*r = -18*t + 165*r + 436, 2*t = r + 46 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 + 386. Let r = y - 77. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23028199*p**3 - 236222323*p**2.\nAnswer: -138169194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1801\/3, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 13*f - 9. Let u = 3941 - 3956. Determine k(u).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5 in decreasing order.\nAnswer: 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41581315 divided by -8316263?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/7 and 64\/245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2401 + 24017\/10. Let j(p) be the second derivative of -1\/2*p**2 - 5\/42*p**7 + 3*p - 13\/6*p**4 - 17\/10*p**5 + 0 - d*p**6 - 3\/2*p**3. Factor j(x).\nAnswer: -(x + 1)**4*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 25. Let p be c(12). Suppose 2*b - p = 23. Calculate the remainder when 22 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -14*n - 15. Let w be n\/(-1*(3 - 2)). Suppose -2*b + 4*g + 2 + 6 = 0, -21 = -3*b + 3*g. Solve w*r = -2*r - b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 4344001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/7))\/(v**20\/v) assuming v is positive.\nAnswer: v**(-129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.2 - -9.3476. Let p = 0.5614 + m. What is p rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 + 4 + 9*g**3 - 12 - 18*g**3 + 3*g + 10*g**3. What are the prime factors of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 303 = 2*u. Let v = u + -55. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 15*z + 9*z + (2 - 4 + 0)*(4*z + z - 3*z) + 0*z + z + 0*z)*((0*z**4 + 0*z**4 - z**4)*(1 + 2 - 4) + (123 + 21*z - 123)*(-z**3 + z**3 - 2*z**3)).\nAnswer: 533*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 727\nAnswer: -1\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9*l + 2*u + 29, 3*l - u - 17 = 0. Suppose -l*i = -0*i - 10. Let x be (-4 + 2)\/((-7)\/i). What is the biggest value in -0.1, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 156 (b) 10\/59 (c) -731\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*d + 5*h - 3, 0 = h. Let t(x) = -x**3 + 4*x**2 - 3*x - 2. Suppose -9 = -3*q - 0. Let k be t(q). Sort -4, d, k in decreasing order.\nAnswer: d, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -1971.405?\nAnswer: -2168.5455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 9. Let w(r) = 4*r**3 + 2*r**3 - f*r**3 + 7*r**2. Let l(y) = -y**3 - 3*y**2. Give -7*l(q) - 3*w(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317133?\nAnswer: 3, 167, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2448) + sqrt(2448) + -2 + -1)**2*3 + (0 + -5 + sqrt(2448) + sqrt(2448) + -4)**2 + 2.\nAnswer: -78334 + 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3.07 (b) 0.4 (c) -36 (d) -9 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20696 is divided by 10340?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1349 - 1345. Sort -6, -37, n.\nAnswer: -37, -6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1900 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 245056?\nAnswer: -245056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/4 + 5415*c\/4 + 4059 = 0?\nAnswer: -5412, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104290*j**2*x + 3*j**2 + 15*j*x + 11017*x wrt j?\nAnswer: -208580*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxv when three letters picked without replacement from xvxxxxvxxxvxxxxxxvxx?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 606140 rounded to the nearest one thousand?\nAnswer: 606000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 146 - 560?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154.05 - -3.05. Let n = -151.284 - s. Let t = n + -0.086. What is t rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5012*t - 4924*t - 968 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402215.\nAnswer: 5, 11, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(15)\/sqrt(5) + (sqrt(363) + 0 - sqrt(363)) + -5 - ((-3*(sqrt(300) + -2 - sqrt(300)))**2 + 4).\nAnswer: -47 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.37 - 0.03. Suppose s - 3*t = -6, 4*t = 20*s - 24*s + 24. Which is the closest to 1? (a) q (b) 2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 0.07629 (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 0. What is the greatest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 13*g**2 - 28*g - 60. Let b be t(5). Solve b = -25*w - 2*w + 54 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-925)\/40)\/1 + (35 - (-4464)\/(-128))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1917247*o**3 - 6423647.\nAnswer: -5751741*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 158 divided by 2\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 66. Let y be ((-4)\/5)\/(6*(-7)\/(-105)). What is the smallest common multiple of s and ((-1)\/2)\/(y*1\/12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6139 - 5769. Let t = 42 + -11. What is the remainder when s is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 + 2*y**2 - y**2)*(10*y - 31*y - 41*y) - 2*y**3 + 5*y**3 + 0*y**3 as b*y**2 + g + w*y**3 + d*y and give w.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -31222.\nAnswer: -280998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 104. What is the remainder when b is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.057\nAnswer: 0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:13 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 35*h**2 + 47*h - 42. Does 51 divide v(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = -2*z + 6*v - 21, -5*v = 25 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 23*y - 25*y. Suppose -1258 - 527 = -y*r. Which is greater: r or 104?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 1660824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**2 + 15*q**3 + 12*q**2 - q**2.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = -2. Solve -3*m - 2*u - 7 = -2*m, -v*m = -4*u - 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 144*l + 9440\/3.\nAnswer: -2*(l - 236)*(l + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -976, -709, -428, -127, 200, 559?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 266584 and -21.8.\nAnswer: -5811531.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 137 = 4*h + 42, 0 = -4*n - 4. What is the remainder when 47 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 117729*d - 235470.\nAnswer: 3*(d - 2)*(d + 39245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2940 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-643)\/(-5787) + 79\/(-549).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-268)\/32 + (-33)\/(-88) - 537\/(-66)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, c: 1, f: 2, d: 2, u: 1}. What is prob of picking 1 h, 1 f, and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 2270.\nAnswer: -4\/1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 1663938 and -0.327.\nAnswer: 1663937.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 99595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 + -17)\/((-6)\/(-1500)). Let y = 259 + r. What is the remainder when 15 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.226 and 118913633.\nAnswer: 118913633.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -i + 64, -138 = -2*i + 5*t - 3*t. Suppose 8*p - i - 166 = 0. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 572738, 572731, 572720, 572705, 572686, 572663?\n\"Answer: -2*z**2 - z + 572741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -100. Let d = j - 19. What is the nearest to 0.9 in 3, d, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 + 5*t**2\/2 - 10*t + 172. What is w(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3 + 1 + 1. Let x(d) = -2*d + 1. Let l(s) = 3*r(s) - x(s). What is the units digit of l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/80, 10, 0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = -3*r + 965, -680 = -2*r + 4*h. Suppose 0 = 5*c - 3*n - 409, 2*n + r = 4*c + n. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 365 or 363?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1347 - -416. Let b = a + 6474\/7. Calculate the common denominator of -89\/8 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22961 is divided by 2921?\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/8 of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:08 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4 - 14*d**3 + 69*d**2 - 136*d + 80 = 0.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 15*i - 2. Let c be r(-15). Let z = c - -477. What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8) + 80 + -80 + 0 + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npppgkgpdpgdl. Give prob of sequence gddl.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 39 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 25 + 23. Let y(w) = 2*w**3 + w**2 + 83*w + 178. Let m be y(-2). Solve m = d + 7*d + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -6 - 12 - -5. Put -8, r, 0, 10 in increasing order.\nAnswer: -8, 0, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b82a - -1?\nAnswer: b82b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10220?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-30) - 2\/(-5). Let w = 2.8 + -0.8. Suppose 43 = -9*r - 2. What is the nearest to z in w, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005416934 rounded to 6 dps?\nAnswer: 0.000542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008623 to 6 decimal places.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -3306.\nAnswer: -43\/3306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(104)\/(sqrt(1536)\/sqrt(3)) - -5*(-2 + sqrt(832))*-4.\nAnswer: -1279*sqrt(13)\/8 + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -498, 0.211, 0.4?\nAnswer: -498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 370107704 > 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.99474 years in millennia?\nAnswer: 0.00299474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 9.47. What is y rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 21*u**2 - 124*u - 110. Give w(-11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-18\/7)\/n*n**(6\/17)*n)\/(n\/(n**(-19)\/n*n*n))**(-1\/6) assuming n is positive.\nAnswer: n**(677\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60144 is divided by 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 12823d7?\nAnswer: -12823db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -109. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2627 is divided by 848?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.06787834, 1\/16 in ascending order.\nAnswer: -1, 1\/16, 0.06787834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*6*(-2)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397070417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 16*l + 4701 - 10*l - 4706.\nAnswer: 8*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4 = 0, -3*m + 10 = -3*i - i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5784 and 11157336.\nAnswer: 11157336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4285\/84 - 374\/7. What is the common denominator of v and 0 - -8 - (-980)\/(-72)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1) + 2\/6. Suppose 2*h + 20 = 5*b + h, -b + 3*h - 10 = 0. What is the nearest to g in 1\/4, 0.3, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d2 - -11e0c?\nAnswer: 1162a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 1479201*b**3 + 547009639200*b**2 + 547008160000*b.\nAnswer: b*(b + 1)*(b + 739600)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - (-3)\/2. Let w(o) = 839*o - 2. Let g be w(s). List the prime factors of g\/30 + 2\/15.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3330 - -3329. Which is bigger: -1\/1093 or h?\nAnswer: -1\/1093","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 588*f**2*r**5 - 86*f**2*r**2 - 51*f**2 + 78*f*r**6 - 2*f - 3 wrt r?\nAnswer: 35280*f**2*r**2 + 9360*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(180) + (sqrt(1872)*1)**2 + -3.\nAnswer: sqrt(13)\/6 + 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 16*x - 20. Let i(r) = r**3 + 7*r**2 + 10*r + 18. Let g be i(-6). Let o be q(g). Solve 19 = -o*a + m, 12 - 3 = 3*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + b + 10, -2*c - b = -2. Suppose -5*l - 2*q = -5*q, l - 4*q = 17. Let v be (15\/10 - l\/(-2))\/4. Which is bigger: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 3*d = 15, 5 = -5*d. Let p be s\/(-1)*(5 - 6). Let t = 29 - p. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -101, -2, -18, 0, -4, 6.\nAnswer: -101, -18, -4, -2, 0, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 17697258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/60 + 108*i**2 + 4. Let l(m) = -372*m. What is p(l(n))?\nAnswer: 138384*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 6*k + 2*k + 23*k + 3563*k**2.\nAnswer: 3563*k**2 + 27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**3 + 9. Let m(p) = -p**3 - 1. Calculate 4*m(i) + o(i).\nAnswer: 2*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-2)\/f))\/(((f**(-6)*f)\/f)\/f))**(-49))**(-1\/74) assuming f is positive.\nAnswer: f**(245\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*p + 240 = -123*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2479 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/320183552 and -15\/184?\nAnswer: 320183552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b - 12. Suppose -5*f + 85 = 10. Suppose -4*o + 53 = -3*t + 18, 0 = 5*t + 2*o + f. Sort t, b, 5 in ascending order.\nAnswer: t, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514047.8 millilitres to litres.\nAnswer: 514.0478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 5\/6*u**3 - 14*u**2 + 0 + 18*u. Let w be f(6). Are w and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38 - 3*s**5 - 4 + 2*s + s - 34 + 709*s**2 + 2*s**5 wrt s?\nAnswer: -20*s**3 + 1418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717*k + 495 = 732*k. Let y be 1\/((2\/22)\/1). What is the highest common divisor of k and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 1164304*z\/7 - 20962008.\nAnswer: 2*(z - 582278)*(z + 126)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 289837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -32, 23, -0.26, -16?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttytarjytyty. Give prob of picking 1 a and 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3435394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000 - 100101100001100110?\nAnswer: -100101100100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 139 = 5*a + 40, 0 = 5*s + 2*a - 319. What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18)*((-44)\/8 - -4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 19*p + 275. Let m be j(-14). Suppose 4*l + m = 93. Calculate the highest common divisor of l and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*n - 25. Let f be (2\/n)\/(2\/(-6)). Suppose -5*b - 5*b = 0. Sort f, -5, b in decreasing order.\nAnswer: f, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + r)*(21 + 18 - 35).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88131707\/86688 - 581\/12384. Let h = -1016 + t. Find the common denominator of h and 125\/154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -28*z**5\/5 - 6112*z**4\/5 - 105484*z**3\/5 - 124648*z**2 - 257920*z - 64000 = 0.\nAnswer: -200, -8, -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3166 is divided by 10\/6*(13248\/(-115))\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 209.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 640841, 640839, 640835, 640829, 640821, 640811?\nAnswer: 640799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*2)\/(6\/(-12)). Suppose -g*h = 104 - 324. Let p = h + -35. Solve -5*i + 0 = p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72.9 + 9.9. Let m = 1891485223.99999926 + -1891485161. Let n = m + y. Round n to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5404600 to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.566111ng?\nAnswer: 0.000000000000005566111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-6) - (-1)\/2. Let s be 4 - p - (-48)\/(-3). What is the remainder when 41 is divided by (-200)\/(-14) + 4\/s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 0.5, 143, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18375.46l in millilitres?\nAnswer: 18375460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t)**(-38)\/(t**(2\/5))**(-7\/5))**(-15) assuming t is positive.\nAnswer: t**(-5742\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1421*m + 701*m - 707*m - 3 in the form v*m + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*h**2 + 81*h**2 - 252*h**2 + 85*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152941323?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + s - 13 = -4*k, 4*s = 4*k - 20. Suppose 3*c + 33 - 6 = 0. Let x be 222\/27 - (-2)\/c. Solve -x = -k*n - n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 2433498.\nAnswer: -2433478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36792 and 73584?\nAnswer: 73584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 - 29*r**2 + 19*r + 72. Give z(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snna when four letters picked without replacement from nznnnsnznasszn?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (470 - 470 + 206*a**3)*(2 + a - 2)*(-3 + 0 - 1).\nAnswer: -824*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t - 9. Let q be l(-7). Let y be (-50)\/(-18) - (-12)\/q. Solve -y*x - 10 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 61 = -58. Let b = -1.58 + 1.6. Let z = b - 0.22. What is the closest to 0 in 4, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1331) - (3 + -1*sqrt(1331))) - (4*sqrt(1331)*-1 + -5)**2.\nAnswer: -21315 - 484*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90a - -668?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 198 = -234. Suppose 0 = -a - 5*y + l, 6*a - 12 = a + y. What is the greatest common divisor of a and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhcgyra. What is prob of sequence ayry?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 469459.242 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-15) + (-26)\/10 + 3. Does 7 divide (-4896)\/(-180) + ((-8)\/(-10) - l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u + 130 = 0. Suppose 5*h + 6 - u = 0. Suppose 0 = -3*b - h*o - 9, -4 = 2*o + 2. Are b and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:41 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(2\/5))\/b))**30*(b**(2\/3)\/b)**16 assuming b is positive.\nAnswer: b**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20904 and 1128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 3*g**2 - g + 0*g**2 - 74*g**3 + 2*g.\nAnswer: -74*g**3 + 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:20 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(208) + 2)**2 - sqrt(208)) + sqrt(208))*-5 - (sqrt(104) + (sqrt(104)*-1 - sqrt(104))*2)\/(sqrt(968)*1).\nAnswer: -1040 - 877*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**2 - 39 - 44*p - p - 166 wrt p.\nAnswer: 4*p - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7023.012 take away 213357?\nAnswer: -220380.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/6*(-49770)\/6600. Let f = -70123\/11880 - r. Find the common denominator of -127\/12 and f.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 26567530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0661296368 rounded to 6 dps?\nAnswer: 0.06613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -517, 7, 0.162, -4\/3, 3\/2?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*(c\/((c**5\/c)\/c*c)*c)\/c)\/c*c*c*c**3*c*(c**7*c)\/c*c\/(c*c**(-2))*(c**(-1))**(1\/16)*(c*c**(1\/2))**21 assuming c is positive.\nAnswer: c**(727\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -54040 - 80960 - v**5 - 10138*v**3 - 283500*v - 460*v**4 + 0*v**5 - 4*v**5 - 4267*v**3 - 162450*v**2 = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*w, 0 = 3*g - 2*g + w - 10. Suppose 4*q = -g + 21. Solve 4*y = 2*h + 20, 0 = q*h - 0*h + 4*y - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11*1 - 2420\/(-44). Calculate the highest common factor of d and 1958.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*r**2\/5 + 534*r\/5 + 26.\nAnswer: 2*(4*r + 1)*(7*r + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = 5*o + 122, -167 = -3*s - 4*o. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84713221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (9 - 5) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((-17 - 11) + -2 - -9 - (-1 + -7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4555*i + 4596*i - 349033. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20 + -1 - (-29 + 31). Does 21 divide o\/(-51) + 884\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -1\/3 (b) 0.1 (c) 0.07 (d) 5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -75, -149, -255?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.1 + -19. Let z = -0.69 + -0.31. Let y = z - c. Is y at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 35 = -5*w - 7*h, -h - 20 = -5*w. Suppose -w*i = -1496 - 324. Suppose -230 - i = -6*a. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 453110 divided by -6\nAnswer: -226555\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/123916 and -151\/114384?\nAnswer: 1486992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7630237.25 - 688.3.\nAnswer: -7630925.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(2\/7)*j))**(4\/15))**3*((j\/j**(1\/4))**(-22))**(-48) assuming j is positive.\nAnswer: j**(27712\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1262 = 2*o, -l - 65*o + 66*o = -314. Let d = -295 + l. What is the remainder when 256 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, l: 2, t: 3, v: 5, d: 1, u: 1}. Give prob of picking 1 v, 1 k, and 2 l.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3 - 17046*g**2 - 3435680*g = 0?\nAnswer: -197, 0, 8720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 2055. Let h = 199613\/120 - -15919\/40. Let p = h - s. Find the common denominator of p and 43\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 2, s: 1, h: 1}. What is prob of picking 1 h, 1 j, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.7. Suppose -2*i - 16 = -128. Let k = -337\/6 + i. Sort f, 0.1, k in decreasing order.\nAnswer: 0.1, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 11*l + 5. Do -88\/3 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1.1.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(216\/9))\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 - (-162 - (-196 - -63)).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**2\/2 - 29*j - 1818. Calculate s(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b72 - 61c?\nAnswer: -5491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.8485 - -0.0485. Let u = -6.3065 - x. What is u rounded to 2 decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - (-11)\/4. Suppose -o = -0*o + 3*q - 55, -5*o + z*q = -311. Suppose 0 = 3*l - 0*l - 63. What is the remainder when o is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-144)\/(-120))\/(2\/10). Let k(v) = -v + 2. Let j be k(2). Solve -3*q + 0*q - f = j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -441438*65\nAnswer: -28693470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**3 + 25*r**2\/2 - 72*r. Let v be x(3). Solve 3*y + y + v = 3*c, 2*y - 4 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/1*11055\/10050*((-2)\/1 + 7).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6*d = 0. Let p(n) be the second derivative of d*n**4 + 0 + 1\/75*n**6 - 4*n + 1\/50*n**5 + 0*n**3 + 0*n**2. Determine v, given that p(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 677?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 976020 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2542*l - 2542*l - 230 - 12*l**3.\nAnswer: -12*l**3 - 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50\/15*1*57. Let h be -5 - -6 - 1\/((-1)\/p). Suppose 0 = 2*j + 4*t - 204, -4*j + 5*t + 243 = -h. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-6))\/((-2)\/6). Let t be 243\/p + (-8)\/(-20). Suppose 2*g = g + t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b - b)*(3*b**2 - 3*b**2 + b**2)*(52 - 51 + b**2 + 4*b**2).\nAnswer: 10*b**5 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5871.9698 times -0.17\nAnswer: 998.234866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 19 + 61*i + 33 + 140*i.\nAnswer: 201*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 52 + 7)*(z**2 + 5*z**2 - 4*z**2).\nAnswer: -68*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*v + 5*p + 31, -5*p - 23 = -2*v. Suppose -2*i - 13*g = -v*g - 34, -2*i - 2*g + 34 = 0. Is 16 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(2*k**3 - 2*k**4 - 2*k**3) - 33*k**5 - 23*k**5 - 19*k**5.\nAnswer: -73*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104989 is divided by 7621?\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 261 - 49. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -607600 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(300) + 0 - sqrt(300))*6*-1 + -2 + -3*sqrt(300) + (sqrt(300) - 2*(sqrt(300) + 0 - sqrt(300)))).\nAnswer: -480*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or -1346?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 + 3*a**2 - a**2)*(3*a - 5*a + 4*a)*(-10 + 7 + 35)*(-5 + 10 + 6)*(2*a + 3*a - 3*a)*(0 - 1 - 2) to z*a**4 + d*a + x*a**2 + j*a**3 + y and give z.\nAnswer: -12672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4+0.34587670058783\nAnswer: -3.65412329941217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.04 + 0.02. Let w = 0.02 + x. What is the closest to 1 in w, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**4 + 2*q**3 - q**3 - 7*q**4 + 0 + 2 - q**2 to g*q + w*q**3 + b + n*q**4 + p*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47788031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*f + 1. Let b(h) = -16 - 1 + 7*h + 4*h - f*h**2 + h**3 + 5. Let u be b(10). Which is greater: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-4*(-4)\/168). Suppose k = -h + 48, -h + i = -4*k - k. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let l(z) = 198104176*z. Give a(l(s)).\nAnswer: 39245264548638976*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*c - 11*c + 5 + 10*c**2 - 3 - 2 as o*c**2 + r + z*c and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n*z**4 - 4883*n*z**3 - 8*n*z**2 + 5*n*z + 2*z**4 - z wrt z.\nAnswer: 144*n*z - 29298*n + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/14*7\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*v**3 - 130*v**3 + 166*v**3 - 197*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -1\/7, 2\/5, 7, 9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 10*j**2 - 7*j - 12. Suppose r - 15 + 12 = 0. Suppose f = 4*c - 33, -36 = -r*c - f - 2*f. Calculate n(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1517909988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*s - 283*s = 44. Which is the second biggest value? (a) s (b) -54 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490080 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (3 - (1 + 5)). Suppose -5*s = -5*y - 5, -y - 3*y + s + b = 0. Suppose -h = -6*h - v + 47, 0 = y*h + 5*v - 5. Solve 0 = 3*d - 8*d + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 - 16*v**2 - 26)*(2*v**2 - 3*v + 3*v + (4 - v - 4)*(2*v + v - 4*v) + 132*v**2 - 63*v**2 - 20*v**2) as g + u*v**3 + t*v**4 + x*v + o*v**2 and give t.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w - 27 = 0. Suppose 0 = a - 2 - 22. Suppose 3*f - a = -3*j, j = -0*j - 3*f + 16. Solve 0 = -c + j*c - w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7269, -58066, -195937, -464418, -907045, -1567354, -2488881, -3715162?\nAnswer: -5289733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k. Let j(b) be the third derivative of -1\/210*b**7 + 0*b**3 + 1\/60*b**6 + k - b**2 + 0*b**4 + 0*b - 1\/60*b**5. What is u in j(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6674718 and 186.\nAnswer: 206916258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 0. Let s be (2\/(-4))\/((-2)\/g). Suppose -4*j = -f - 13, -3*j - 4*f + 27 = 3. What is the highest common divisor of s and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**2 + 2*p + 2. Let t(c) = -6*c**2 + 2*c + 2. Suppose -2*r = s - 14 - 13, -2*r = -2*s + 48. Suppose -30*m = -s*m - 20. Calculate m*t(y) - 5*a(y).\nAnswer: y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:27 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 119*j**4\/6 + 134*j**3\/3 + 6*j**2 + j. Find the first derivative of d(l) wrt l.\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 4*y - 37, 32 = 4*v - 4*y. Suppose -4*a + v - 125 = 0. Let s = -1 - a. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187880 and 528.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p - 1. Let t(r) be the second derivative of -46*r - 1\/6*r**3 + 1\/2*r**2 + 0. Give -l(z) - 2*t(z).\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908*t - 300*t - 305*t - 293*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(10)\/sqrt(2).\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -290 - -314. Suppose -32*l + 36*l = m. Let x(t) = 13*t**2 - 6*t - 6. Let h(d) = -259*d**2 + 119*d + 119. Determine l*h(y) + 119*x(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4708 and 1.\nAnswer: 4708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*h = -161, 3*h - 43 = -m - 2. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 22 = -3*y, -5*p + 4*y + 76 = y. What is the remainder when 24 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (2 + -2))*184\/69. Is g\/48 - 3\/(-18)*27205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -1\/3*u**3 - 10*u + 0 - 1\/12*u**4 + 3\/2*u**2. Suppose c(w) = 0. What is w?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15356 - -15398. Which is smaller: -1\/9 or m?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkm. Give prob of sequence mmk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7343 rounded to the nearest 100?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4728)\/(-2362) - (-10)\/(-5). Let z = -72037\/2362 - w. Let a(u) = 2*u**2 + 4*u + 1. What is the common denominator of z and a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ba9a (base 13) to base 8\nAnswer: 62600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 17*u**2 + 238*u + 70. Calculate f(26).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 193*k**3 - 6*k**2 + 5*k**2 - 3*k - k**2 + 5*k**2.\nAnswer: -193*k**3 + 3*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 7*z**2 + 8*z. Let u = 5 - 3. Suppose 2*n + 3*k - 3 = 3, -28 = -4*n + u*k. What is the units digit of b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/72 and 8\/2007.\nAnswer: 16056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 8288*a\/3 + 2048904.\nAnswer: -2*(a - 702)*(a + 13134)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0789 + -0.515673\nAnswer: -0.594573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 8542*z = -8547*z - 38, 0*v + v + 3*z = -10 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*5 + (-12 - -14). Let f = -17 + z. Calculate the smallest common multiple of f and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2836?\nAnswer: 25524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 4357?\nAnswer: 4357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177279899?\nAnswer: 19, 1543, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2 + 2. Let k(y) = -403*y - 2232. Let m(v) = -2*v - 12. Let i(p) = k(p) - 186*m(p). Calculate i(w(s)).\nAnswer: 124*s**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 36 + 21518\/(-609)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4279 + -4275. Let c(i) = -5*i - 7. Let h(d) = -6*d - 6. What is s*c(q) - 3*h(q)?\nAnswer: -2*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 19*p + 44. Suppose 3*n - 54 = -4*m, -m - 2*m + 37 = p*n. What is the remainder when 73 is divided by (0 - (-1 - 0)) + m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 13. Let q be o(-7). Let u = 13 + -7. Is 14 a factor of (-1)\/u - 109\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 5*x + 2. Let r be k(5). Solve -n + 6*n = r*d - 35, n - 4*d = -25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/7 + 152*q**3\/7 - 1874*q**2\/7 - 2964*q\/7 + 12240\/7 = 0. What is q?\nAnswer: -3, 2, 17, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 25, 9*f = 4*f + 4*s + 2*s - 30 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -246, -310, -374, -438, -502?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 70, 59, 14, -59, -154, -265, -386?\n\"Answer: q**3 - 26*q**2 + 100*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((11 - -1) + -72) - -8 - (7 + 5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, l: 14}. What is prob of picking 2 l?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.408752 rounded to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - n + 10, -n = -2*i - 2 + 4. Let u be (-1)\/((-3)\/(i + -8)). Is -12*u*5\/40 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 5368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5 + 5)*(-2*m + 3*m**3 + 2*m) + 2*m**4 + 2*m - 2*m + 2*m**2 - 2*m**2 + 4*m**4.\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-576)\/(-256))\/((-2)\/8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 1:07 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3413773046.\nAnswer: 2, 733, 2328631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 95734377 rounded to the nearest 100000?\nAnswer: 95700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + -7 - (1 - 640). Suppose 83 - j = -3*u. List the prime factors of u.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1270 >= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-15)*m)\/m)**(4\/11)*(m\/(m\/(m**(-14)\/m)))\/m*m*(m**(1\/3)\/m)\/m assuming m is positive.\nAnswer: m**(-730\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88024473 and 30617208.\nAnswer: 704195784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*j**3 - 5643*j**2 + 5643*j**2)*(5 + 0 - 4)*(1 - 5 + 5).\nAnswer: -170*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (372*i**4 - 70*i**4 + 157*i**4)*(-5 + 3 + 0) in the form g*i**4 + h*i**2 + t + m*i + z*i**3 and give g.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 4788329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 10, r: 1, p: 3, e: 2}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, 1, -2, -106, 5, -3 in descending order.\nAnswer: 5, 1, -2, -3, -106, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 381382615 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:41 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*r**5 - 4\/5*r**3 + 3\/5*r + 2\/5*r**2 - 2\/5*r**4.\nAnswer: r*(r - 3)*(r - 1)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**4 - a**5 - 11*a**4 + (-a + a - 2*a**4)*(-3*a + 2*a - a).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {d: 1, k: 1, u: 2, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71424 is divided by 1011?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 19311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose -11 - 10 = d*a. Let s be (-4)\/(-2) - (-16)\/a. Is 0.1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2010 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 - (13 - 5) - 2 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Let q(z) = z**3 - 5*z**2 - 8*z + 7. Let x be q(6). Let k be ((-9)\/12)\/(1 - x). Which is the closest to -0.1? (a) k (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120778 is divided by 607.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n + 0*n)*(2*n**3 - 5*n**3 + 0*n**3 + (n**2 + 0*n**2 + n**2)*(3 - 3 + n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2, 977, 3, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/47)*x*x**(2\/25) assuming x is positive.\nAnswer: x**(1244\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 less than or equal to 524837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/120 + 7*o**5\/60 + o**4\/6 + o**3 + 5*o**2\/2 - 3*o. Let r(j) be the first derivative of w(j). Is r(-5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 16) to base 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36521438*j**3 + 250340923*j**2.\nAnswer: -219128628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30045 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*t**3 - 572*t**2 - 338*t.\nAnswer: -2*t*(11*t + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m**2 - 1210*m - 526. Determine l(-134).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -46. Let a = 56.999999325 - j. Round a to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 + 7*u**2 + u - 4. Let g be o(-7). Let f = -3152\/3 - g. Find the common denominator of f and 195\/(-20) - 0 - 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 18) + 24 + -2 + 7 + (-9 - 48)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(250) + -3*sqrt(250) - sqrt(250))*-5)\/sqrt(5)*-3)\/((sqrt(70)*1*-1 - sqrt(70))\/(-1*2*sqrt(7) + sqrt(7))).\nAnswer: -45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51492)\/(-3678))\/(1393\/1)?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**7\/210 - u**6\/60 + 43*u**5\/10 - 1033*u**4\/8 - 5*u**2 - 2*u - 219. What is the second derivative of f(s) wrt s?\nAnswer: -12*s**2 - 12*s + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 50*c**2 - 2*c - 3. What are the prime factors of u(-3)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h - 1. Let i be n(2). Suppose 2*r = -2*p + i + 5, -2*r - 5*p = -20. Let z(f) = -f + 21. List the prime factors of z(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 6*b - b. Suppose 6*v + 28 = -b. Let h be -6*(v\/(-6) - 2). Calculate the greatest common factor of h and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2303\/11 - 209. Find q such that c*q - 2\/11*q**4 + 2\/11 + 0*q**2 - 4\/11*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*h**3 + 10*h**4 + 70*h**5 - 155*h**5 + 80*h**5 = 0. What is h?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, -10, -0.2, -4, 2\/13?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 5*a + 4. Let g be t(-5). Let k be g - 2\/(6\/3). Let s(o) = -k*o + 3 + 0 + o + o. Give s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 10) + -3 + -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*5\/(25\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*h + 1\/3*h**3 - 16\/3*h**2 + 0.\nAnswer: h*(h - 18)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(25)\/(sqrt(15)\/sqrt(108))))**2 + -1.\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v - 4*v)*(-240 - 168*v + 240).\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12044 (base 6) to base 14\nAnswer: -8d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 67*r**2 + 197*r + 1003. Give b(70).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(30\/(-8))*(-3)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + -2 + 9 - -17\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-50)*0)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-48)\/(-18))\/8 + 10\/(-12). Let f be -13 + 15 - 0 - 72\/38. Let n = -0.03 + 4.03. Which is the third biggest value? (a) f (b) n (c) v (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1224462 and -0.1.\nAnswer: 122446.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let x(n) = 7*n - 2. Let p(a) = 4*r(a) - x(a). Let l(u) = -u + 1. Let y(w) = 6*l(w) - 3*p(w). Is y(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19562, 78261, 176094, 313061?\n\"Answer: 19567*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*z - 2 + 13 = 0, z + 5 = 0. Let k(l) = l**3 + r*l**3 - 2 + 6*l**2 - 4*l**3. Let t be (0\/(-4) - -1)*(-42)\/7. Calculate k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8631200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5, -2*n + 2*y + 4 = -3*n. Suppose -37*g + 228 = 6. What is the third derivative of n*x**2 + x**6 + 5*x**6 + 0*x**g wrt x?\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -3*u, -n - 4*u = 76. Let v(b) = -b - 2. Let k be v(-4). Is 8 a factor of n\/(-12) - k\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -770*s - 7. Let q(c) = 769*c + 6. Let v(x) = -4*q(x) - 3*t(x). Let z be v(-1). Let r = z + -543. What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**(-1\/13) assuming z is positive.\nAnswer: z**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, -2\/21, 3\/668, 4.5, -1\/2?\nAnswer: 3\/668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:58 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 661.955\nAnswer: 26.4782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121\/2 + (-21)\/(-14) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 2*l - 3. Let f = 8 + -6. Let r = f - -1. What is the remainder when j(-4) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of -5 + 3 - (1 + -85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (1 + 0)*-1. Let w be -1 + (-106)\/60 - (-8)\/(-20). Let k = a - w. Is k bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 0*q**2 - 19\/4*q**4 - 19*q + 0*q**3 - 7. What is the first derivative of k(d) wrt d?\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 8*i**2 + 10*i + 14. Let v be s(-9). Suppose 8*p - v = 19. Solve -q + 1 = -p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6) + 8692\/(-2226).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let w be -6 + 3*2\/(-12)*(-273)\/21. Which is the nearest to w? (a) 0.4 (b) t (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2401 + 0.22859. What is j rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2. Let b be -14 - -18 - (0 - -1). Let j(g) be the first derivative of 2\/3*g**b - 7 + 0*g**2 + 0*g. Give f(j(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 5:17 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -5. Let h = r - -11. Suppose b + u = 1 + 2, 2*b + h*u = 6. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 2*n = -24*y + 26, -4*n + 16 = 4*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -48215*t - 916079. Determine z(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 214*q - 12467 - 8097. Solve 118*k = q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -3*u**4\/20 - 3*u**3 + 78*u**2\/5 - 108*u\/5 - 236. Factor w(g).\nAnswer: -3*(g - 2)*(g - 1)*(g + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 198545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/60 - j**4\/12 + 7*j**3\/6 - 5*j**2. Let s be g(-5). Let w = 8 + s. Solve m + 4*m + 25 = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1110105140 - 3?\nAnswer: -1110105143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1. Let g(r) = r**2 - 6*r - 7. Give 5*f(t) - g(t).\nAnswer: -t**2 + 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/6096 and 145\/12?\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*k + 337 = 3*k, 119 = y + 3*k. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.8516 - -10.015. Let t = m + -0.0824. Let j = -0.149 - t. Round j to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (16 - (-98 + 39)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r + 18*r + 11*r**2)*(0*r - 10*r + r)*(-1 + 3 + 2).\nAnswer: -396*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 3*w**2 + 133*w - 464. Let a(n) = 5*n**3 - 14*n**2 + 533*n - 1855. Let h(q) = -4*a(q) + 18*p(q). Find the first derivative of h(l) wrt l.\nAnswer: -6*l**2 + 4*l + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n - 46. Calculate x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - x**2 + x + 3. Give a(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9280, 1, 0 in increasing order.\nAnswer: 0, 1, 9280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-78)\/(-130) - (-6914)\/10.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716897869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 - 716 = 2*g - d, -g - 1 = 3*d for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*h + 1064 - 1064 to the form j + u*h and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221 and 9?\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -151?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 4, n: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*f + 20 = 795*f + 4*d, -3*f - 26 = -5*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 41*a**3 - 21*a**2 + 2*a - 2. Let g = -109 - -110. Let x(d) = d**3 - d + 1. Let z(k) = g*q(k) + 2*x(k). What is the third derivative of z(h) wrt h?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.3, -1, 1\/13, -3128.8?\nAnswer: -3128.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*i + 239 = 5*q, 3*i - 3065 = 2*q - 3035 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3946.\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 50*p + 22. Let b(u) = -251*u - 109. Let q(t) = 2*b(t) + 11*g(t). Let m be q(10). Suppose v = -3*v + m. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/2 - (1 - 4). Let n be (-4)\/10 - 2\/(-5). Suppose 2*s - 4*m - 16 = n, s - 3 - 5 = 4*m. Solve x*q - 2*q - s = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(66)\/((sqrt(48)*-2 + sqrt(48))\/sqrt(8))*-5*1 + 2)**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d3952 - 220?\nAnswer: 1d3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/7622 and 17\/300.\nAnswer: 1143300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10278*r + 811969. Determine d(79).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196910.\nAnswer: 2, 5, 7, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11121 - -31762. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3303070376 to the nearest 100000.\nAnswer: -3303100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 5, t: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -411 - 189. Let g = i + -86. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1 + (3 + 5 - 3)*(-4 + 1 + 1))*(5*j + 3 - 2*j + 0*j) + 1 - 2*j - 1.\nAnswer: -29*j - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 205, 408, 609, 808, 1005, 1200, 1393?\n\"Answer: -n**2 + 206*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33492 + 33492 + 176*h - 175*h - 85*h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*107347\nAnswer: 15028.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 21*m**5\/20 + 9*m**4\/8 - 9*m**3\/2 + 3*m**2 + 100. Let g(h) = -9*h**2 - 4*h + 4. What is 27*g(y) + 4*x(y)?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 171*i + 6. Let d(w) = 80*w + 3. Give -13*d(u) + 6*g(u).\nAnswer: -14*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**5\/60 - 5*m**2\/2 - 6*m. Let v(r) be the first derivative of w(r). Let q(z) = 5*z**2. Give q(v(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 y when four letters picked without replacement from oygyyoyyyyg.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**3 - 540*y**2 + 31104*y - 6722439 wrt y.\nAnswer: 6*y**2 - 1080*y + 31104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*u**5 + 20994*u**3 + 126108*u**2 + 2*u + 1 wrt u.\nAnswer: 4740*u**2 + 125964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let l be u(4). Suppose -5 + 21 = 2*m - l*c, 5*m - c = 22. Suppose 3*a - 4 = 2*a. Solve 3*b = i - 5, a*b - 2*i + m + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2 + -1 + -3. What are the prime factors of (-15)\/y*6\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 44899.\nAnswer: 44898.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*v + 3184 + 1364, 0 = 3*m - 4*v - 4520. What is the smallest common multiple of 12 and m?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 2145 = 46*r. Suppose -350 = -0*j - 5*j. Let o = r + j. Solve 5*p + 5 = -o*w, -2*w - 2*w - 2*p - 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 680?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*g + d + 4, -3*g = 4*d + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + d**2 - d**2)*(-143 - 139 + 311).\nAnswer: -29*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 82*i + 9. Let t(r) = 82*r + 8. Let y(n) = -3*t(n) + 2*v(n). What is the units digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 2*w**7\/7 + 7*w**4\/12 - 12*w. Find the third derivative of h(l) wrt l.\nAnswer: 720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let r(l) = 2*l**3 + 20*l**2 - 74*l - 9. Let w be r(3). Solve 0*i + w*g + 23 = -2*i, y = i + 4*g + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-5)*z))\/z)\/z**4)**(1\/79)\/(((z\/(z*z*z**(-1\/10)\/z))\/z*z\/(z\/z**(-1)*z))\/((z\/z**(-1\/3))\/z)**(21\/8)) assuming z is positive.\nAnswer: z**(11889\/3160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 15*s**2\/2 - 2*s - 4. Let k be z(2). Suppose 5*x = k + 57. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.42 + 0.22. Suppose 0 = 10*l + 10*l - 180. Is l at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1151765, -2303539, -3455317, -4607099, -5758885, -6910675, -8062469?\nAnswer: -9214267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s + 0 + 14*s**2 - s**3 - 14*s**4 - 3*s**3 + 0.\nAnswer: -2*s*(s - 1)*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81730 = -1990*d - 1725*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 19, 55, 127, 247, 427, 679, 1015?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*c - 5*c + z, -3*z = -3. Calculate the remainder when 24 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.01, 4, 2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1226.109168 to the nearest integer.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -55, -3.\nAnswer: -55, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/(u\/(u\/((u*u*u**(1\/2))\/u)))*u)\/u*u))\/u**7)\/((u**(-3\/5)*u)\/(u\/(u\/(u*u**1)))))\/((u\/u**(-3))**(-4\/9))**(-42) assuming u is positive.\nAnswer: u**(-2387\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 19*r - 162. Calculate g(0).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, and 2 m when four letters picked without replacement from {f: 4, e: 3, o: 2, m: 1, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1128 and 536832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-9 - (-9 - (-4 + -3))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1115 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1.8, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*p - 38, 11 = -4*l - 4*p - 5. Let v = l + 13. Differentiate -c - 4*c + 9*c**v + 5*c + 9 with respect to c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/165 and 17\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k - 12. Determine v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64, 310, 732, 1336, 2128?\n\"Answer: y**3 + 82*y**2 - 7*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by -4946.\nAnswer: -59\/2473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-4))\/((-2)\/16) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 divided by 25?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/3 (b) 3 (c) 1602 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -70, 2.1, 0.2, 0.5, -13, 0, 5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 112 + 61 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6984*o**3*r + 7317*r wrt o?\nAnswer: 20952*o**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009 a factor of 145803175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -73. Let y(m) = m**3 + 19*m**2 + 27*m + 167. Let f be y(-18). What is the third smallest value in n, 7, f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1456 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvzazkvkvhvz. What is prob of picking 3 z?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + -33. Is 16 a factor of (-1)\/(-2) + j\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-5))\/((-2)\/(-122)). Let o(y) = y**3 - 5*y**2 - 5*y + 5. Let d be o(6). Let x = d + m. Are x and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2672827\nAnswer: 801848.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etssejegojj. What is prob of picking 2 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13253*d**2 + 2*d**3 - 13265*d**2 - 13289*d**2 + 39864*d**2.\nAnswer: 2*d**3 + 57*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 898 + -869. Let s = 6 + 24. Let z = s - t. Sort z, 2, 9.\nAnswer: z, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**3 + 1497462 + 6*d**3 - 1497455 + 2*d**4 - 6*d + 0*d**4 to the form w*d**2 + a + y*d**3 + r*d**4 + f*d and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 89*i**2 - 172*i**2 - 60*i**2 as a + g*i**2 + q*i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + p - 2*p)*(1879 + 927 + 7799 + 2258) to j*p + q and give j.\nAnswer: -25726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7 - 1 + 5*i - 6*i. Let u(g) = 1. Let z(f) = n(f) - 6*u(f). Let k(h) = 5*h + h**2 + 3*h - 1 + 0*h. What is -2*k(j) - 14*z(j)?\nAnswer: -2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 9 + 58 - 99 + 32. Let b(p) = -2187*p. Determine o(b(w)).\nAnswer: 4782969*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 44643?\nAnswer: 312501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-6)*(l*l*l\/l**(-25))\/l)**(-13) assuming l is positive.\nAnswer: l**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 1066*n**2 - 17837*n - 55. What is t(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:33 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Suppose 4*j = c*h - 24, -3*h - 9 = 3*j - 3. Is 15 a factor of 1986\/54 - j\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298954 = 9*p - 14057. What are the prime factors of p?\nAnswer: 3, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -69. Let z = 243343 + -243306. Is z at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/319 in 0.4, 9, 1441, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 11*t**2 + 22*t - 6. Is z(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 181. Let q(p) = -7*p - 723. What is -9*b(w) - 2*q(w)?\nAnswer: -4*w - 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3*(-3)\/(-4). Which is the third biggest value? (a) -1\/7 (b) y (c) 1\/3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a factor of 153823411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 - 1 + 1 - 18*z to v*z + q and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61470749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4556216, 4556195, 4556174, 4556153, 4556132, 4556111?\n\"Answer: -21*h + 4556237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111699.\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 4. Let k(t) = -15*t + 16. Let r(y) = -6*k(y) + 22*x(y). Let s(f) = -f + 3. Let z(o) = 3*r(o) + 8*s(o). Let l(w) = -3*w**2. Determine l(z(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4) + 7315\/380 - (-3 - (1 + -10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 (base 10) in base 16?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 8*b**2 + 2. Let s be c(-8). Let p(u) be the first derivative of 0*u**2 - 2*u + 2\/3*u**3 + s. Differentiate p(n) wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 42*g = 200. Suppose -20 = -7*b + 2*b. Solve -b*q = g - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t + 26*t - 14. Let o(n) = 7*n**3 + 3*n**2 - 3*n. Let z be o(t). Let p(f) = 33*f + 29*f - z*f + 3*f**2. Let y(h) = 3*h. Determine p(y(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 1*sqrt(1900)) - (sqrt(1900) - (sqrt(1900) + 1)*-2 - (sqrt(1900) - (1 + sqrt(1900) + -5))**2).\nAnswer: -10*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/90 and -21\/250.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 12 = -38. Let y(z) = z**2 + 12*z + 8. Let d be y(s). Let c be -2 - (0 + d\/5). What is the second biggest value in c, 0, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/668719853 or 1?\nAnswer: 2\/668719853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 5, d: 1, y: 3, i: 5}. Give prob of sequence yq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2784 + 1284 + 977)*(18*n + 21*n - 41*n - 19) in the form l*n + w and give l.\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83928*r**4 - 2*r**2 - r + 381284?\nAnswer: -1007136*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrhuvdhdcudvrdvchruu. What is prob of sequence rc?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 1, r: 4, c: 1, v: 1}. Give prob of sequence zc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 4*x - 2. Let y be c(-1). Which is greater: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**3 - 32*j - 33. Let z be o(-1). Solve z*q + 3*u + 16 = 0, -19 = 3*q + 6*u - 2*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5128, 8207, 13340, 20527, 29768?\nAnswer: 41063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(54\/24 + -1) + (-53)\/((-265)\/(-30)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395896 a multiple of 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxuulnluux. Give prob of sequence xx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 117*a + 801 - 801 + 0*a - 4*a + 5*a + (4 - 4 + 1)*(0 - 2*a + 0) + 2 - 2*a - 2 - 3 + 3 - a + a + a + 0*a.\nAnswer: 115*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1601 - 0.5?\nAnswer: -3.6601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = -10, 3*q = -5*f - 13. Solve -3*g = -3*d - g, -q*d = -3*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-24))\/(1\/3). Let i be ((-10)\/30)\/(1658\/12). Let w = 4988\/5803 + i. Which is the nearest to z? (a) 0 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7459.694 hours in seconds?\nAnswer: 26854898.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**3. Let g be (-5)\/(-3) - 3\/(-9). Suppose -m + g = 1. Let q be w(m). Is 5 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 4:26 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6996576 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1144 = 2*c + k, 3*c - 1736 = 2*k. Let u = 2476 - c. What is u rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 4500000?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2 and 6896048759?\nAnswer: 6896048760.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90276054199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8451252445 - 4482?\nAnswer: -8451256927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21997*b**4 + 89330*b**2 wrt b?\nAnswer: 527928*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -3, -1\/22, 1220, 1\/3 in decreasing order.\nAnswer: 1220, 4\/3, 1\/3, -1\/22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/120*(0 - 4). What is the nearest to -15 in 5, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - 0.2. Let t = y - -4. Which is the closest to -2\/3? (a) 4 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((2\/9)\/(-2)). Let t = -3 - c. Suppose -w = 2*w - t. Solve 5*l - 2*l - w*g + 11 = 0, -22 = -2*l - 4*g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2. Let v(c) = -738*c**2. Calculate v(g(a)).\nAnswer: -2952*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 9*a - 4. Let n be (-6)\/(-4)*(-16)\/(-12). Let k = n - 8. Is r(k) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16232788 by 286.\nAnswer: -56758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 24 = 15. What is the first derivative of -56 - 42*d - w + 12 wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31035 (base 6) in base 2?\nAnswer: -1000000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -3 + j**2 + 7*j + 4\/3*j**3 - 1\/4*j**4. Give m(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52.11 - 30.11. What is the closest to 1 in -0.3, 2, g, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92027510.\nAnswer: 2, 5, 37, 248723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z + 21 - 21)*(0 + 5 - 3)*(-2 - 1 + 4) - 3*z + z + 4*z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 2, s: 1, w: 5, m: 1}. Give prob of sequence zmgg.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -202111120020 (base 3) to base 12\nAnswer: -175650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 413, 321, 157, -79, -387?\n\"Answer: -36*a**2 + 16*a + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 355946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -113, 0, 2 in ascending order.\nAnswer: -113, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-150)*(-11010)\/(-54683)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 15*f**2 - 3*f - 13. Let t be a(-15). Suppose -r - t = -580. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 21bb4?\nAnswer: -21bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -5, -1, -3, -8.\nAnswer: -63, -8, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29300?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108050265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -952880 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 4*h**2 - 4*h**2 + (-3*h**3 + 2*h**3 - h**3)*(-1 + 11 + 1) to the form k*h**2 + a*h**3 + x + b*h and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w + 350. Let m be x(23). Which is the closest to 2? (a) m (b) -4 (c) -0.09 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from fxfufxfxxxfeaax.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 6 = -5*y - 2*g, 3*g - 3 = -5*y. Suppose -18 = -y*v - 0*v. Solve 0 = 5*n, -2*w - v*n + 2 = -n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 2)\/(18\/90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (981*b + 973*b - 1952*b - 1108)*(3*b - 5*b + 0*b).\nAnswer: -4*b**2 + 2216*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 38, 76, 132, 212, 322, 468, 656?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -6, 264?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 73*m**2 + 5*m + 14. Let g be z(-4). Let a = 2 + -1. Is ((-6)\/(-4) - a)*g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 312.4550628 to two dps.\nAnswer: 312.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -102. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14822*x - 5179*x + x**4 - 6847*x - 1000*x**5 - x**4 wrt x?\nAnswer: -20000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -998115, -998112, -998109, -998106, -998103?\nAnswer: -998100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.315 - 1.3166955. Round w to five decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g + 40 = 71*g. Let l(v) be the third derivative of -2\/3*v**3 + v**2 + 0 + 0*v**4 + 0*v - 1\/20*v**g. Differentiate l(u) with respect to u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 10, 13\/5, -2\/3, 0.65 in descending order.\nAnswer: 10, 13\/5, 0.65, 1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 2*b**3 + 4 + b**4 + 3*b**2 - 1 - 2 to h*b + w*b**3 + t*b**2 + m*b**4 + v and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 837 or 835?\nAnswer: 835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(8\/9)\/(g*g**(3\/28)*g*g)*g*g**(-1\/15)*g\/g**22 assuming g is positive.\nAnswer: g**(-28079\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*u - 14. Suppose -36 = -u*a - 1. Suppose -5*l = -17 + a. What is the closest to l in 3\/7, -0.2, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2311*d**3*i - 16226*d**3 + 3*d*i + i with respect to i.\nAnswer: 2311*d**3 + 3*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -404, 2\/9, 77, -1.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyh when three letters picked without replacement from yyhhhyyyhyhyyyyyyy?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13720689 and 1415.\nAnswer: 68603445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1106 and 729253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -36*(-4 - -12)\/(-16). Let y = 55 - x. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 29) + -1 + -5 - (0 - (0 - -49))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 11:25 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 q when four letters picked without replacement from jjqqjkdjjqjjdqkj?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 34 = -2*n, -2*d + 3*n - 14 - 15 = 0. Put 4, d, -4, -2 in decreasing order.\nAnswer: 4, -2, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -393*b**2*m**2 - 38*b**2*m*p + 3*b**2*m + b*m**2*p**2 + 2*b*p**2 wrt m?\nAnswer: -786*b**2 + 2*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3*(-1)\/1. Suppose -m = -2*o - 1. Let v be 2380*(198 + o)*-25. What is v rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*d + 12, -d + 6 = d. Let q = 14 + k. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4853*m**3*z**2 - 31*m**3*z - 3*m**3 - m**2*z**2 + 82*m**2*z + 54*m**2 - m*z**2 + 2*m*z wrt m.\nAnswer: -29118*z**2 - 186*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79224 and 128739?\nAnswer: 1029912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200041 + 211?\nAnswer: -144330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58c141 (base 13) to base 2.\nAnswer: 1000000011100000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38369.938 to the nearest 10.\nAnswer: -38370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102402 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13.69438 and -9356000.\nAnswer: -9355986.30562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3379 + 317 = 16*u. Calculate the smallest common multiple of 9 and u.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 3*a**2 - 12*a - 146*a + 20*a + 8*a.\nAnswer: -a**2 - 130*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41*d**2*o*v - 306*d**2*o + 2*d*o*v - v wrt v.\nAnswer: 41*d**2*o + 2*d*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7419.66 millilitres in litres?\nAnswer: 7.41966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26316 is divided by 13152?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {p: 5, t: 1, q: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2420\/3*o**4 + 2\/3*o**5 + 34297420960\/3*o + 1659995174464\/3 + 283449760\/3*o**2 + 1171280\/3*o**3 = 0. What is o?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56506729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228026969*g**4 + g**2 - 1346483012*g wrt g?\nAnswer: -2736323628*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7114 is divided by 1006?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400692*n**3 - 801387*n**3 + 400683*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y\/(y\/(y\/(y\/(y*y\/(y\/(y**(-20)*y))*y*y)*y*y))) assuming y is positive.\nAnswer: y**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/30 + 64*n**3\/3 + 53*n**2 - 2*n + 18. Find i, given that y(i) = 0.\nAnswer: -8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 3*c - 235326 = 0, -5*b - 4*c + 31433 = -75528. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16304 and 768?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 16 = -66. Suppose 6*d - 130 = -k. What is the least common multiple of 22 and d?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9520 and 51?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 5 + 3*o**3 - 3 - 5*o**3 + 4*o**3 + 2*o**3 + (-o**2 - 2 + 2)*(o + 0*o - 3*o) - 1 + 1 - o**3.\nAnswer: 5*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(1\/2)\/i*i)\/i)\/i**(-3))\/((i*i*(i*i**5\/i)\/i*i*i*i)\/i**(-1\/2)) assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 17. What is the biggest value in -0.09, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -32. Let n be 6\/18 + (-14)\/6. Let l(o) = -2*o**2 - o + 4. Let v be l(n). Which is bigger: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 936, 932, 926, 918, 908, 896, 882?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1217 (base 9) to base 7.\nAnswer: -2434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 1, z: 3}. Give prob of sequence zzj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -4*p**3\/3 - 36. Let q(y) be the third derivative of -5*y**4\/24 + 11*y**2. Determine q(n(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15831433 by 94799.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4, -13 in ascending order.\nAnswer: -13, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 + 17*p + 55. Let b be a(-4). Calculate the greatest common divisor of 12367 and b.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 709.81903 to the nearest integer.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 2539020*a + 20311840.\nAnswer: 5*(a + 8)*(a + 507796)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -7. Let o = u - 8. Suppose 4*a + 0*d - 4*d = 48, -o*d + 3 = 4*a. Solve 4*p + 7 = 5*h - 0, -2*p - h = -a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -t - 15, 0 = -26*t + 5*c + 2353 - 2681 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -29.4 (b) -3 (c) 61 (d) -0.3 (e) 4\/31 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 7. Suppose -5*b = -5, 6*o - 4*o + 3231 = b. List the prime factors of (o\/25)\/l + 4\/10.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 140 = -604. Let x = -47 - p. Calculate the remainder when x is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94803 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 12*y + 2. Let j(p) = -p**3 - 10*p**2 - 9*p + 11. What is the remainder when h(14) is divided by j(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 64646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 - (2 - (-4 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*n - 352 = 0, 2*n - 463 + 111 = 2*h. Let v = h + 275. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*g + 8518, 4447 - 1026 = 2*o - 3*g. Calculate the least common multiple of o and 20.\nAnswer: 17060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*12\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, f: 1, k: 1, q: 1, y: 2, h: 2}. What is prob of picking 1 h, 1 k, and 2 o?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b - 21*b + 167 + 2*b**2 - 167 to the form y*b + f*b**2 + i and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -5095?\nAnswer: -76425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5055 - -2786. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5958756 a multiple of 618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105541*-2.62.\nAnswer: -276517.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 12 = -4*y - 0*y, 0 = -k - 3*y - 10. Let a(i) = -2*i**3 - 3 + 7*i**2 - i**2 - 2*i**k - i + 3*i**3. Determine a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145*(18 - ((-48)\/(-42))\/((-125)\/(-1925))).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4362064 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6843.9 times 0.1?\nAnswer: -684.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2, 1\/5, 7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 140\/(-34) + (9 - 5). Let s = 254\/3 - 84. What is the closest to s in -3, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10 - 21*b - 9*b - 32*b + 0 + 397*b**4 + 7 wrt b?\nAnswer: 4764*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*t + 9357 = 164*t - 4056 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 24. Let g = -31\/3 + y. Suppose 3*m + 8 - 2 = 0, -2*u - 8 = 5*m. Which is the smallest value? (a) -2 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61 or 1289\/21?\nAnswer: 1289\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 + 5340678*d + 10681364 = 0 for d.\nAnswer: -2, 2670341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14370, 28750, 43142, 57552, 71986, 86450, 100950?\nAnswer: 115492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 - 4*r - 8. Let n(x) = -x**2 + 17*x + 42. Let f be n(19). Let s be a(f). Round s to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i. Let u(h) = -239*h + 242. Let n be u(1). Let c(d) be the second derivative of 0*d**2 + 0 - 1\/2*d**n + 8*d. What is o(c(y))?\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8996639 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2113 and 32.23.\nAnswer: -2080.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqvqvvqvvvqqoq. What is prob of picking 3 v and 1 q?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + a - 41 = -2*a, 2*p + 74 = 2*a. Let i = p - -38. Suppose i*c = 2*d + 266, -268 = -0*c - 3*c + 4*d. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4348 divided by 704?\nAnswer: 1087\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -1\/3*s**3 + 11*s + 57 - 7\/2*s**2. Determine v(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) - 4756332\/392. Round c to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Let w(p) = -p**2 - 17*p - 53. Let n(q) = w(q) + 5*y(q). List the prime factors of n(-15).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9 - 42\/(-54). Suppose 3*n + 2*g + 8 = -n, 0 = -4*g + 8. Let f be n + (1 - (-25 + p)). Solve -5*l + 0*k = -k + f, -2*k - 26 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 11*w**5\/20 + w**4\/3 + 16*w. What is the third derivative of n(k) wrt k?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -29, 0, 75 in increasing order.\nAnswer: -29, 0, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/((-666)\/(-27)))\/(45\/1380).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -286*b**2 - 230*b + 230*b + (3*b - 3*b + 2*b**2)*(-4 + 2 + 4) + 4*b**2 - 2*b**2 + 0*b**2 + 0 + b**2 + 0 + (b + b + b)*(4*b - 5*b - b).\nAnswer: -285*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 u when four letters picked without replacement from {s: 4, g: 1, c: 5, z: 5, u: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9259429 or -9259430?\nAnswer: -9259429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(195\/(-15))\/13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p - 7. Calculate m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 19. Calculate the remainder when b is divided by (-12)\/((-2)\/((-2)\/2 + 4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2899 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000322741 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25507876453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -16*j**2 - j - 1. Let u(c) be the third derivative of c**4\/12 - 229*c**2 - 2. Calculate w(u(a)).\nAnswer: -64*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -136 + 20*a + 181 - 22*a + (5 + 1 - 4)*(2*a + a + a) + (0 + 0 - 1)*(-a + 2*a + a).\nAnswer: 4*a + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001422258 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4023 and 225396?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -605 + 6?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from geexexezrrrexrezne?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - (-2)\/8)*9 and 6\/45*2300\/16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 15 + 39. Calculate the smallest common multiple of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -28.\nAnswer: -25\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*c. Let s(n) = 3 + n - c + 2*n**2 - 3. Determine s(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57075 + 8351. Let w = n - 65425.870007. Let d = w + -0.13. Round d to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-7))\/(1\/1)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**2\/2 + 1. Let j be b(-3). Suppose -3*f = j - 0, -358 = -3*i + f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 3*i - 2. Let o be s(-1). Suppose o = 3*q - 15, m - 2*q = q - 20. What is the remainder when 129 is divided by 0\/m - -30 - 4\/1?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u + 121. Let d be r(15). Let z(w) = w**3 - d + 0 - 25*w**2 + 13*w**2 + 0 + 3*w + 8*w**2. Give z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91098850 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.137635 millimeters to kilometers.\nAnswer: 0.000001137635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-28) + 36\/224. Suppose 0 = 2*j + 5*a + 29, 4*j + 7*a + 28 = 3*a. Let f = 5 - 5.2. What is the closest to j in -6, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 150, 913, 3102, 7467, 14758, 25725, 41118, 61687?\n\"Answer: 125*n**3 - 37*n**2 - n + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 8*t**2 + 4*t - 44. Let s be a(-6). Suppose -3*f = -2*w + s, -f - f - 5*w = -10. Which is smaller: 15\/19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxnxnhnxnx. What is prob of sequence xxh?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 117, 1308, 3043, 5316, 8121, 11452, 15303, 19668?\n\"Answer: -t**3 + 278*t**2 + 364*t - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -4)\/(-8)*2. Let s = 0 - 3. Is 162 + f + s + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -535*h - 11167 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -28647289?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/6071580 and 21\/3710410.\nAnswer: 66787380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:07 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -1.0104\nAnswer: 0.05052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*f**3 - 8\/5*f**2 - 2*f.\nAnswer: 2*f*(f - 5)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.6643 rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3361 (base 8) to base 14\nAnswer: -90d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.7, 37, 5, 32, 0 in descending order.\nAnswer: 37, 32, 7, 5, 0, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7994903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257 divided by -6.\nAnswer: 257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3872, 1018, -1838, -4696, -7556, -10418?\nAnswer: -13282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -876 divided by -2\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 2*s - 9. Let y be r(-2). Let q = -11 - -17. Let i(h) = h + q*h + 4*h. Calculate i(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Let w = -70 + 14.9. Let i = 55 + w. Put 3, j, i in descending order.\nAnswer: j, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -373 - -371. Let k = 162.4 - 162. What is the second smallest value in -0.3, f, k, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 + 4347*m**2\/2 - 2177*m - 13044.\nAnswer: (m - 3)*(m + 2)*(m + 4348)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, b: 5}. Give prob of sequence bb.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.199 + 0.189. Let j = 0.01015 + p. Round j to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3877528 is divided by 103?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 6. Let k be o(-11). Suppose 0 = -k*z + 4*z + 2. Factor -3\/2*j**z + 1\/2*j**3 + 3\/2*j - 1\/2.\nAnswer: (j - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2819 + -166327\/59. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9240.836 millilitres?\nAnswer: 9.240836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6025\/11 or 548?\nAnswer: 6025\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 5*j + 4*j + j**2 - 6. Let q be u(-3). Suppose q = 5*r - 5*m - 115, 5*r - m + 0*m - 119 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15397493075 and -0.332.\nAnswer: -0.17802506925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(140)\/(sqrt(160)\/sqrt(4)))\/(sqrt(112)*-2 - sqrt(112) - 6*2*sqrt(7)))**2.\nAnswer: 1\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26046*z - 10576*z + 14654*z)*(-3*z + 4*z + z)*(z - z**2 - z).\nAnswer: -60248*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4, -3*h + n + 2 - 6 = 0. Let q be (-1 + 1 + h)*-11. Let s(z) = 2*z - 12. Let d be s(q). Solve d = -2*a + 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9000.27mg?\nAnswer: 9000270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.254 and 0.151623858393.\nAnswer: 1.405623858393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342927772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -83. Let w(i) = -i**3 + 5*i**2 - 2*i + 9. Let q be w(g). Put -3, -4, 3, q in descending order.\nAnswer: 3, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/24 + 55*i**3\/6 + i**2. Let o = -13 + 13. Is c(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t, 3*y - 34 = 961*t - 963*t. Sort 2, y, -268, 1 in descending order.\nAnswer: y, 2, 1, -268","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/252 - (-10)\/35) + (-87)\/(-270).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -495235676 - -82\nAnswer: -495235594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4478, 9286, 14094?\nAnswer: 18902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - d = h + 2, h = 4*d + 8. Suppose -4*l - 6 = -l, h = 5*z - 3*l - 71. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzj when three letters picked without replacement from {j: 6, r: 1, k: 2, e: 5, z: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q**(-37)\/q)\/q*q*q)*q**17*((q*(q**(-35)*q*q)\/q)\/q*q)\/q*q\/(q\/q**(-26)) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 - 16*k**3 + 24*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16135.69 millilitres?\nAnswer: 16.13569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*r = 243*r + 1395. What is the lowest common multiple of r and 6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h - 29. Let b = -141 + 155. Let m be -28*(3 - b\/7). Is m greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffaairssafifffsrr. What is prob of sequence raar?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:38 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 22 + -7 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4\/5, -2, 1\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012332 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71533\/10470 + 2\/1745. Calculate the common denominator of 2 - 3 - 245\/(-30) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 357538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-1 + 0 + 2). Let y be (2*-9)\/(-4 - h). Suppose 4*d - 3 = y. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/60 + 5*b**4\/24 + b**3\/3 - 3*b**2. Let t be a(5). Suppose 0 - 8 = t*m. Sort 3, -3, m in ascending order.\nAnswer: m, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 66834.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -277, -481, -739, -1057, -1441, -1897, -2431?\nAnswer: -3049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**6\/105 + c**5\/5 + 10*c**4\/7 + 24*c**3\/7 - 353*c - 1. Factor a(n).\nAnswer: 2*n*(n + 2)*(n + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -22*j**3 - 7*j**2 - 12*j - 6. Let f(q) = -48*q**3 - 15*q**2 - 26*q - 13. Let v(y) = -9*d(y) + 4*f(y). Calculate v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 3. Let t(i) = -3*i**2 - 8. Let v(m) = 4*t(m) + 11*y(m). Let z be v(0). Is z + 1 + 677\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - 4294\/(-76))*(4\/(-6) - (-460)\/90).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * -0.8\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5170474152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2\/5 + 1794*s\/5 - 1788\/5.\nAnswer: -6*(s - 298)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/((c*c\/(c\/((c*c*c**(-7))\/c*c)))\/c))**(-44)\/((c\/c**6*c**(-6))\/(c**(4\/7)\/(c**(-6)*c))) assuming c is positive.\nAnswer: c**(-808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1534.\nAnswer: 7670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 equal to 216\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 5*w - 14)*(-2 + 1 + 0)*(-w + 5*w - 2*w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s - s + 1188. Calculate the highest common factor of s and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = w - 4*k + 18, 2*w + 12 = 2*k. Let p be (w\/(-4))\/((-4)\/(-16)). Solve 3*q = -l - 2, -2*l + 2 = p*q + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = 0, -5*v + 195 + 0 = -w. Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f + 233. Calculate the remainder when 1205 is divided by o(24).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126497 and 93544?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 16. Calculate a(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2 - (1 - (-1 - -1)). Let a(d) = -2*d**2 + d + 8. What is the lowest common multiple of a(j) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -7398000?\nAnswer: -1\/7398000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) - (-2)\/(-90). Let l(u) = -u - 2. Let v be l(-3). Is a equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5 + 10658*h**4 + 1979201*h**3 + 5863012*h**2 + 3894468*h = 0. What is h?\nAnswer: -10469, -186, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4075*k**2 + 228195*k + 248. Determine s(56).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*k = 27, -2*p - 31 + 18 = k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 359 and 1.15.\nAnswer: 412.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 106 - 6 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 9 + 6. Suppose b*t + 20 = 5*x, -2*x - 8 = -0*t + 2*t. Let g(v) = -v - 1. Calculate the lowest common multiple of g(t) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (12\/(-3))\/2. Let w = 306 + -155. Suppose f*d = 29 + w. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447418?\nAnswer: 2, 3, 463, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, 9 in descending order.\nAnswer: 9, 3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2919 or 12124?\nAnswer: 12124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2289, 4600, 6935, 9306, 11725, 14204, 16755, 19390?\nAnswer: 22121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-28)*(-2144)\/(-2680)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -554 - -615. Calculate the remainder when i is divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:36 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 9. Suppose 0 = 3*f - 15 - w. Solve 4*m = m + f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271590?\nAnswer: 2, 3, 5, 11, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*s = 6, 5*s - 523 + 530 = -3*f. Sort f, 168, 0 in descending order.\nAnswer: 168, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 32*k - 13. Suppose 3*g + 3*a - 27 = 0, 3*g - 41 = 4*a + 7. Calculate the remainder when p(-30) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(11)*6*6.\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 211777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f + 2. Let l(j) be the third derivative of -7*j**4\/24 + j**3\/2 - 13*j**2. Let a(z) = 1. Let k(t) = -a(t) + l(t). Calculate -6*b(i) + 5*k(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75471578 is divided by 4209.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(65\/(-30) - -2). Let a = f + 5. Put 3, 2, a in descending order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) -3 (c) -2\/9 (d) -2 (e) 182.57 (f) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/5))\/o**(-2\/15))\/(o**(2\/11)*(o**1*o*o)\/o)*(((o**(-2\/5)*o*o)\/o)**(-1\/5))**(3\/7) assuming o is positive.\nAnswer: o**(-2887\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-6)*(1 - 63\/9). Is (-456)\/v*400\/12 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*s - 13786, -4*d + 6839 + 11547 = -3*s. List the prime factors of d.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.5 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/261 and -82\/15.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8227 (base 15) in base 10?\nAnswer: -27487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 17, l: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 0.2, -4, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 6)*(1 + -2)\/(-1). Let i be b - (-1 + (-8)\/(-12)*-6). Factor 2\/9*w**i + 8\/9 + 8\/9*w.\nAnswer: 2*(w + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*n + 366*n + 609*n**2 + 388*n**2 - 188*n in the form u*n + i + x*n**2 and give x.\nAnswer: 997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:00 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/6))**14\/(u\/u**(-1\/22))**(-6\/11) assuming u is positive.\nAnswer: u**(-640\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1071 + -2 + 2\/(-7) + 99\/(-21). Calculate the greatest common divisor of c and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*i + 4*l - 3, -i + 4*l - 5 = 0. Suppose -4*g = 4*b - 40, 3*g + 5*b - 31 = -i. What is the remainder when 29 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/2 + 45*w**2\/2 + 2305*w - 18600.\nAnswer: -5*(w - 31)*(w - 8)*(w + 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 2\/15 (c) 0.3 (d) 0.1 (e) 3 (f) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/2)*q\/q**(1\/6)*q**(-2\/9)\/((q*q*q\/(q**(-3)*q))\/q*q) assuming q is positive.\nAnswer: q**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 1, m: 1, n: 1, d: 1, c: 2}. Give prob of sequence sjm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6595638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x + 3. Let w be v(2). Calculate the remainder when (1\/(-1))\/((-1)\/w) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15661 + 15692.132. What is q rounded to 1 decimal place?\nAnswer: 31.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 27 + -24 + (-2 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16031?\nAnswer: 17, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4032.358 + -19003.413. Let y = a - -15002. Let o = y - 31. Round o to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993251.\nAnswer: 7, 47, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-209)\/2)\/((-10)\/(-20)). Let z = t + 465. Suppose 2*p + 4*b - 134 = -b, 4*b = -4*p + z. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l. Let q be i(-1). Let r(z) = z. Let o be r(4). Let t be (-23)\/5 - (-3)\/(-30)*-6. What is the closest to q in o, t, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 112.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 19. Let y be (-3)\/(-4) - 2\/s. What is the units digit of -1 + 0 + y + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 5*f. Let w be v(-5). Suppose 0 = -y - w*y + 2. What is the third derivative of 33*l**4 + 5*l**y - 33*l**4 - 5*l**5 wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21705 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - p + 1. Let b(x) = 3*x**2 + x - 1. Suppose -7 = 5*s - h + 3, -5*s + 5*h = 30. Calculate s*u(n) - b(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5560 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -299\/6 + 50. Let u = 1.5 - -4.5. Let o = 8 - u. What is the third biggest value in o, -2\/15, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 5*z**2 + 3. Let g be c(-5). Suppose -2*b + 16 = g*m, 0 = -b + 2*m - m + 3. Solve 0 = -3*j + 4 + b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-10)*-7*1*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, 2, 1, -2\/13, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -704800 or -704843?\nAnswer: -704843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17013162*t + 74554793*t + 50617572*t + 60842568*t.\nAnswer: 203028095*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1147, -1170, -1205, -1258, -1335, -1442?\n\"Answer: -y**3 - 16*y - 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200 divided by 4?\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + p = 3, 3*v + 1 - 7 = -2*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1618*w**4 + 217 wrt w.\nAnswer: 6472*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 8\/3 (c) 1\/11 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b9d35 (base 16) in base 4?\nAnswer: 102321310311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -666*t + 20646. Let c be h(31). Let k(j) = -j**2 + 5*j + 7. Let i be k(5). Sort -3, -7, c, i in decreasing order.\nAnswer: i, c, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.7. Let i = s - -0.4. Let f be (1 - 4\/10)\/(-2 + 1). Put f, 3, i, -2\/3 in decreasing order.\nAnswer: 3, i, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6061*l = -2360*l + 1804*l - 92638 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*j + 18*j - 260. Which is the third smallest value? (a) 0.2 (b) j (c) 3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 13430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**6\/30 - v**5\/25 + v**4\/20 + v**3\/15 - 30. What is r in q(r) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 - 4500*v**2 - 916500*v - 54080000 = 0.\nAnswer: -640, -130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -3, 13, 31?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 2*q**2 + 0*q**2)*(55*q - 55*q + 15*q**3) + 2*q**5 + 0*q**3 + 0*q**3.\nAnswer: 32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 1539 = -564 - 93. Is 121 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b. Let s(p) = 17*p + 24. Let j(t) = -203*t - 287. Let i(x) = -4*j(x) - 49*s(x). Let z(y) = -y - 1. Let m(o) = i(o) - 28*z(o). What is m(l(a))?\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, l: 2, o: 2, g: 1}. Give prob of sequence qloq.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.01 (b) 14 (c) 3\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5011758 at least -5011818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 6:10 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 10*z - 9*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 2*p**2 - 8*p**2 - 6 - 6*p + 3. Is b(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1456.10433 seconds to days.\nAnswer: 0.016853059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 9 = 0. Solve 4 = t - z*v - 10, -v = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.326 and -2354?\nAnswer: 2353.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 22*v**2 - 4*v + 33. Let r(x) = -x**3 + 22*x**2 + 4*x - 33. Let a(k) = -3*p(k) - 2*r(k). Is a(22) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1271 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8996*x + 261. Let p(v) = 2249*v - 65. Let j(z) = 2*h(z) + 9*p(z). Let q be j(11). Let u = q + -6176. What is u rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 15\/41, 34?\nAnswer: 15\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, -1, -2, -18, 0, -5.\nAnswer: -179, -18, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*5\/60*9. Suppose 1\/3*n + 1\/3 - 2\/3*n**u - 2\/3*n**2 + 1\/3*n**4 + 1\/3*n**5 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16969*o**2 + 16982*o**2 - 33952*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -1. Let u = r - -8. Let v be 360\/84 + 2*(-4)\/2. What is the third smallest value in v, u, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-12)\/30 - 42\/(-3)*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -18.140368\nAnswer: -17.140368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.790847 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**2 - 3. Let c = 20 + -21. Let p(d) = -1. Let x(u) = c*j(u) + 3*p(u). Let a(k) = -k**2. Give a(x(n)).\nAnswer: -169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162 - 274 + 131)*(-2*t - t + 4*t).\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/8 + 1041*w**4\/8 - 10719*w**3\/8 - 3129*w**2\/8 + 3756*w + 5355\/2 = 0. What is w?\nAnswer: -357, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**4 + 0*b**6 + 1\/105*b**7 + 0*b**5 + 0*b**3 - 2*b**2 + 0*b + 0. Solve g(f) = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 53\nAnswer: -15\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42 * 26.\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6 + 2*f**2 + 3*f**2 + 2*f**2 - f**3 - f - 2*f**2. Let g be y(5). Let i(p) = p. Give i(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 4. Let f(p) = p**2 + p. Let b(x) = 2*f(x) + l(x). What is b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61092 and 14832.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*k + 2 + 2, 0 = -3*w - 4*k + 8. Suppose w = 4*g - 43 - 149. Let n = -12 + g. Calculate the remainder when n is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 75832671.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1892 and -11?\nAnswer: 20812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -25770410?\nAnswer: 1\/12885205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-18))\/((-9)\/81). Let a be ((-1)\/h)\/(2\/(-8)). Sort 5, a, -1 in descending order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2072\/3 + -681. Find the common denominator of 1\/(-3) + 5\/6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(8\/3)*t)*t*t\/(t*t*t*t*t**6*t)*(t*t**(-4))\/t*(t*t**3)\/t)**(-8\/7))**(13\/4) assuming t is positive.\nAnswer: t**(988\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = -7*m. Suppose u - 168 = -4*y + 5*u, -3*y + m*u = -125. Let j = 87 - y. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6229.\nAnswer: 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Suppose 0 = -4*o + 4. Which is greater: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1501276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 25 = 39. Sort 54, 0, i.\nAnswer: 0, i, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207 by -42.\nAnswer: 69\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6068, 12042, 18016, 23990?\n\"Answer: 5974*o + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 2*d**2 + 3*d**2)*(0*d**2 - 2*d**2 + 0*d**2) + 2*d**4 + d**2 - 4*d**3 - d**2.\nAnswer: -2*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 6846.\nAnswer: 34230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6 - 10. Suppose -7*m + f*m = -3. Solve m = u - 0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**3\/3 + b. Let p(f) be the first derivative of -3*f**2\/2 + 2. Determine q(p(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 - 44406904266.\nAnswer: -44406904267.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 5) to base 12\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 5332464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5436 and 3775?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41652.558 + -41711. What is x rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2. Let w(d) = 4*d**3 + 2*d**2 - 5*d - 1. Let o(a) = 6*v(a) - 2*w(a). Find the second derivative of o(g) wrt g.\nAnswer: -12*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -15*a - 812. Give h(-56).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2137 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1012, 1330, 1632, 1918, 2188, 2442, 2680?\nAnswer: 2902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 14*q + 1. Let f be i(14). Solve -f = -2*o + 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 6*d - 3. Let t = -39 + 45. Calculate w(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 1164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 6 = 10 + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f*h*s**2 + 1409*f*h*s + 2832*f*s + 163*h*s**2 + 1087*s**2 wrt s.\nAnswer: -14*f*h + 326*h + 2174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106868 or 106869?\nAnswer: 106868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**8\/1120 + w**5\/10 + 29*w**4\/12 + 24*w. Let q(v) be the third derivative of y(v). Differentiate q(b) with respect to b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + k + 55, 2*z = 4*k. Let r = z + 10. Is -1 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*o**4 - 4*o**2 + 2*o**3 + 3*o**2 - 2*o - 50*o**4 + 126 - 127 to the form a*o**2 + b*o**4 + v + r*o + c*o**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5 + 70*n**4 - 366*n**3 + 530*n**2 - 232*n = 0.\nAnswer: 0, 1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0546381 and 15.\nAnswer: 0.8195715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + 7 + (-5 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 + 18*s**2 - 54*s + 4119. What is l(35)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/29? (a) -1.2 (b) -0.46 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86358.384 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039437 less than -0.4?\nAnswer: -0.439437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b + 101*b = 30*b + 480. Sort 2, b, 4\/7, 2\/19 in ascending order.\nAnswer: 2\/19, 4\/7, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2295*s - 4. Let a(m) = m**2 + 23*m - 1. Give 2*a(k) - w(k).\nAnswer: 2*k**2 - 2249*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 7:15 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2012 + -1776. What is the highest common divisor of i and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-16)\/(-2))\/2. Is 256\/10 - x\/10 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 56. Suppose 20*b + 1794 = 2254. Calculate the remainder when f is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (26 - -1 - 46).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g - 1. Let u be s(-1). Suppose 3*b + 90000 = u*b. Round b to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10623 (base 12) to base 10\nAnswer: 21627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + 4) - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.2 (b) 2\/13 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1099 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-10) - 43\/((-774)\/(-90)). Factor 6\/5*l**3 + b*l**4 + 42\/5*l - 3 - 36\/5*l**2.\nAnswer: 3*(l - 1)**3*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 20 = 11*g - 8*g, g - 15 = 3*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose i*s = s. What is the first derivative of -t + 3 - 4 + 2*t + s*t wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 - 41*a**2 - 6*a - 9. Let b(p) = -p**3 + 8*p**2 + p + 2. Let i(m) = 11*b(m) + 2*v(m). Let z be i(6). Does 6 divide 6*(-2 + 1 - z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/9 + 40*q**3\/9 - 413*q**2\/9 + 710*q\/9 - 112\/3 = 0. What is q?\nAnswer: 1, 14, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-0.79264\nAnswer: -0.69264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and 21\/2678.\nAnswer: 10712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -282720?\nAnswer: -1696320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 - 14*c**2 - 48*c + 90. Does 168 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**2 + 3*m**2 + m**2)*(2*m**3 - 8*m**3 - 5*m**3) - 5*m**5 + m**5 + 3*m**5.\nAnswer: -111*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of (-867)\/68*(6 - ((1 - -4458) + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 48 - 13 + 7*c**2 - c**3 + 7*c - 31. Determine j(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 31, 2, -5.\nAnswer: -5, -0.01, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + v = -15, -21 = -v - 16. Does 25 divide (-97695)\/(-135) - p\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k + 26*k = 5*w - 37*k + 1, 22*w - 4*k = 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r - 7 - 4*r - 1. Is y(7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 12*c**2 + 24*c - 7. Is w(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 21\/3 - (-60)\/27. Let d = 4 + -5. Let o = 4 - d. What is the third biggest value in o, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10087, 20174, 30261, 40348?\n\"Answer: 10087*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104681*m*q**3 - 546*m*q**2 - 2*m*q - q**2 + 9*q wrt q.\nAnswer: 628086*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -2*r + r**2 - 5\/6*r**3 + 0 - 1\/12*r**4. Let u be m(-5). Solve 2 - 4 = u*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*q = -y + 18, 5*q = -5*y + 165. Let r = y + -26. Let m be 4 + 0\/(3\/(r - 1)). Solve -3*f = -m*u + 2*f - 17, -11 = 2*u - 3*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/10 - 4137*m**2\/10 - 8277*m\/10 - 4139\/10.\nAnswer: (m - 4139)*(m + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 6*n - 5. Let w(q) = -7*q**2 + 4*q - 3. Let j be w(1). What is g(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*x = 5*x - 327, -4*x - 545 = 5*p. Let j be (-8 + 30)*(-3*1)\/(-6). Let d = -97 - j. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:51 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -33965089 divided by 3?\nAnswer: -33965089\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 5, -1, 4 in descending order.\nAnswer: 9, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f = 64*f + 668 - 113 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 - 2*w - 3. Let v be g(-2). Let f be v*159\/6*8. What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8*k + 280. Suppose 241 = -11*h - 89. Let r = k + h. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-1 - 14 - -14).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 565.4? (a) -4\/7 (b) 4 (c) 5 (d) 0.4 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*t - 663, 56 + 164 = i + 2*t. Suppose 4*u = 2*u + i. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 63\/(-18) + 15\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/4 and -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -17*z**3 + z**2 + 5*z + 3. List the prime factors of k(-3).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9*v - 30 = 0. Suppose v - 4 = n. Solve t - n = 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 2 in descending order.\nAnswer: 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1.1 (b) 5 (c) -1\/29 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/207*(-25)\/((-5400)\/27).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 25*j**2 + 24*j + 59. What is l(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -5) + -2 + 10\/(-6). What is the closest to 1 in -1\/2, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27319948?\nAnswer: 2, 19, 61, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 885285385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15271 + -15266. Solve 0 = -r*t - 4*s + 2, 0 = 5*t - 3*s + 173 - 189 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*n**2 - 8*n**3 - 300*n + 156*n + 144*n + 98*n**2 + (-6*n**2 + 0*n**2 + 3*n**2)*(-3*n + 3*n + 2*n) as p + r*n**2 + y*n + f*n**3 and give r.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, k: 9, b: 5, r: 1}. What is prob of sequence rkp?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -20. Let c = a + -4. Let i(b) = -b**3 - 12*b**2 + 8. What is the units digit of i(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9\/p)\/(p*p**(-6))*(p*p**(-1)\/p)**(-45) assuming p is positive.\nAnswer: p**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111001 + -10?\nAnswer: -11110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17501 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/77)\/((-2)\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2066878398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047181008?\nAnswer: 2, 3, 21816271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -476*b + 264*b**2 + 2 + 6 + 125*b**2 + 284*b**2 - 205*b**2.\nAnswer: 4*(b - 1)*(117*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 0 + 2 - 1 - a**2 + 21*a - 21*a - 7*a**3 + (-1 + 0 + 2)*(2*a**3 - 4*a**3 + 0*a**3) as l + m*a + z*a**3 + u*a**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 4911 = 5751 for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2193 = -12*k + 7701. Suppose 0 = k*m - 465*m + 17058. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24258051 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 10. Let z = -39 - -46. Let r be q(z). Let x be (3\/1 + r)\/2. Solve 0*j + 18 = j + x*c, 3*j = -4*c + 29 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 = -84*m + 247*m. Solve -3*y + 6 = 4*b - 7*b, m*b = -y + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-472) - ((-48762)\/826 + 3).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4423, 4423, 4409, 4375, 4315, 4223, 4093, 3919?\nAnswer: 3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.02.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*-120*62\/(-775)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 0*u - 2*u. Let k(y) = 0 + 6 - y - 6. Determine o(k(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1590)\/(-477))\/((-10)\/(-6)). Solve -115 = -n*p - 123 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtwwwtwwwhwwtgwwx. Give prob of picking 1 t and 1 w.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3 = m, m - 3*q = 6 + 3. Suppose 0 = m*a - 4*a. Suppose -3*h + 1250 = 5*p, -5*p - 5*h = -a*h - 1240. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-0.03521\nAnswer: -0.0021126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 + 183. Let o = 13 + -11. Suppose -o*q = -h + 30, -5*h = -0*h + 2*q - 90. Calculate the remainder when c is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*a - 11, 2*a + 2*w = a - 7. Let n(k) = 91*k + 8. Let y be n(a). Let i = 143 + y. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(-1*sqrt(12)*2))**2 + 2 + (sqrt(19) + 0)*5.\nAnswer: 27\/4 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 19*o**2 + 37*o - 4. Let g(z) = -z**3 - 4*z**2 - 4*z - 1. Let b be g(-4). Let i be u(b). Let a = -228 - i. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k + 41881 - 121577. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 + 48*j**2 + 240*j + 256 = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a38621 (base 11) in base 16?\nAnswer: -6a83a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdtirrdxldxlii. What is prob of picking 1 i and 1 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = v - 0*v + 96, -4*v - 419 = -3*p. Let u = v + 315. Let t = u + -72. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 27. Let z = -39\/5 - w. What is the biggest value in z, 21, -3\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*m**5*n + 2*m**3*n**3 + m**2*n**3 + 757*m**2 wrt m.\nAnswer: -660*m**2*n + 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -56351.92608 to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flfffpmmp. What is prob of picking 1 f, 2 m, and 1 l?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1075.000025 + -1075. What is g rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9184191997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -124995.095 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(567)*2*-4 - (5*(sqrt(567) + 1*sqrt(567)))\/(sqrt(72)\/sqrt(128)))**2.\nAnswer: -384*sqrt(7) + 258049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**3\/6 - 19*z**2\/2 - 3*z. Let m(s) = -70*s + 154*s - 82*s. Give m(k(c)).\nAnswer: 2*c - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1517078 and 1517076 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-100)\/30)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/17 - 766*s\/17 + 1524\/17 = 0.\nAnswer: 2, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1, 19, -25.\nAnswer: -25, -5, -4, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2 + 76*j - 78 = 0?\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4704\/5*d**4 + 0 - 2401\/10*d**5 - 4412\/5*d**3 - 8\/5*d + 384\/5*d**2 = 0.\nAnswer: -2, 0, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 23*s - 31. Calculate the remainder when n(9) is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242213151 (base 6) to base 4\nAnswer: -101200210123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a. Let s(w) = -219*w**2. What is s(o(y))?\nAnswer: -5475*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + s = -s + 67, s - 1 = 0. Suppose 3 - o = -5*i. Find p, given that 2*p - i*p**3 + p**4 - 1 + p - p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.620815 millimeters in centimeters?\nAnswer: 0.7620815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 33*f**2 + 16*f - 28. Calculate n(16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 6.978441\nAnswer: 1.3956882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -2 + -2 + (15 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p - 38*p = -183*p - 135*p + 25440 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0528163 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 208 = -4*r, -z = -5*r + r + 203. Suppose 5*g + 2*p - 358 = 0, 0 = -0*g + g - 3*p - 75. Factor -70*s - r*s - 3*s**2 + 97*s + g + 5*s**2.\nAnswer: 2*(s - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 16 = -5*t, -3*a - 10 = t - 5*t. Suppose f - 9 = -2*f. Solve -a*r + f = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346398 = -138*r + 24*r + 495036. Calculate the remainder when r is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*h + 261*h = 162. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88.69 - -89.19. Which is the third smallest value? (a) -113 (b) l (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83842 and 13106214?\nAnswer: 1349940042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9830924 millilitres in litres?\nAnswer: 0.0009830924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24\/27 + 43836\/53109\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4 + (4 + 4 - 6)*(2 - 1 - 2) - 3 + 4 + 0 - 5 + 3 + 3 + 2 - 5 + 1)*(10 - 14 + 135)*(-2*s**5 + 4 - 4).\nAnswer: 786*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -15. Let v be (10 + -12)*3\/w. Is v equal to 7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407 divided by 469?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 + -102. Suppose 3*n = 101*n + 4606. Let b = n + l. Solve -2*x = -b*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 194956674 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 - 5365*v**2\/3 - 1256000*v\/3 - 88192000\/3 = 0. What is v?\nAnswer: -3445\/6, -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5443, 43527, 146855, 348055, 679755, 1174583, 1865167?\n\"Answer: 5438*i**3 - 6*i**2 + 36*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-21) - 2\/3. Let p(n) = n**3 + 7. Let v be p(0). Solve -q - 3*l + b + v = 0, -15 = -3*q - 3*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290242 is divided by 96658?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -4*u + 5*m, 5*u = 76*m - 56*m + 35. Suppose 5*p - 14 - 11 = 0. Calculate the highest common factor of u and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 2*h**7\/3 + h**5\/5 - 443*h**3\/3 + 55*h - 3. Find the second derivative of t(l) wrt l.\nAnswer: 560*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4206 + 4867.\nAnswer: 9073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-1)\/6) - -32. Let d be (-474)\/(-42) + (-10)\/i. Solve 0 = 4*h - 3*w - d, -10 + 0 = 2*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952894127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -4*w - v, 3*w - 3*v - 238 = -2*w. Suppose w = y + 3. What is the remainder when y is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -12*j - 2. Suppose -10 = 2*z - 5*k, 5*k - 4 = 16. Let f = 4 - 8. Which is the nearest to j? (a) -0.1 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s**2 + 3*s**2 - 15994 + 15990)*((4*s + 2*s - 4*s)*(-3 + 3 + 2) + s + 5 + 0*s - 2*s) as n*s**3 + c*s**2 + g*s + f and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566859 is divided by 314?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 0*f - 12 + 12*f**2 + 8*f - 13*f**2 + 0. Let i be y(4). What is the derivative of -10*d**4 - 3 - 3*d**i - 6*d**4 wrt d?\nAnswer: -76*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 192*r**2 + 3003*r + 12642.\nAnswer: 3*(r + 7)*(r + 14)*(r + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24887\/6 - 4133. What is the common denominator of -73\/12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 8. Let v be k(5). Let y(h) = -5*h**2 - v*h**2 + 2*h**2. Let p(q) be the first derivative of -q**3\/3 + 238. Give y(p(x)).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 117915970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 46899*k. Let s(t) = 561*t. Determine y(s(w)).\nAnswer: 629442*w**2 + 26310339*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -47*c**2 + c - 5. Let k be p(9). Let o = k + 41787\/11. Let v = -4 - o. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3713*p**7\/7 - p**3 + 2*p**2 + 53*p + 2199. What is the third derivative of n(o) wrt o?\nAnswer: 445560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 7 - (4 + -3). Which is the nearest to 0.1? (a) -0.4 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4905\/7 - -699. Find the common denominator of q and -14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/10)\/((-1)\/(-2)). Suppose 3 = a - v. Calculate the greatest common factor of a and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**3 + 5*k**2 - 15*k + 3. Let w(y) = 13*y**3 - 5*y**2 + 17*y - 3. Let q(c) = -7*a(c) - 6*w(c). Give q(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 - 5*y**2 - y - 10*y**2 - 98 in the form z*y**2 + n + t*y and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3090 divided by 6?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 + -98. Let q be (-3 + h)*(-34)\/(-8). Sort q, 3, 4 in increasing order.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745918077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1155 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 9957397?\nAnswer: -9957394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281 + -401. Let k = y + 270. Suppose 0 = -i + 16*i - k. What is the highest common divisor of i and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*x - 6. Let a = 10 + -4. Let v = x + a. Sort 3, 3\/5, v.\nAnswer: 3\/5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 1973?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1438, -3436, -5408, -7342, -9226, -11048?\n\"Answer: 2*o**3 + o**2 - 2015*o + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*h = -21, -67*k + 64*k = -2*h - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1658\/(-4145))\/(((-126)\/20)\/7)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5876 + -3.408. What is r rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 27. Calculate the remainder when i is divided by (-4)\/(-18)*((-864)\/4)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 3*o + 1 - 17 = -4, -2*o - 12 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1298 = 11*s - 9*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.3 (b) 0.39 (c) -1 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*m - 10*m**2 + 26*m**2 - 15*m**2.\nAnswer: m**2 + 348*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 19*o**2 + 6*o + 13. Give b(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 16 = -3*o, -3*o = -3*x + 15. Let t = -5 + 8. Let y(j) = -1 + 7*j**2 - 7*j**2 + 13*j**t. Give y(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/72)\/((-12)\/(-10)*43\/(-129)*-5).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -937136 - -936879.00388. Let c = 257 + i. Round c to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -252*x**2 + 2*x**3 - 37*x**4 - x**3 - 71*x**4 - 25 + 25 wrt x?\nAnswer: -2592*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.8 (c) 2\/7 (d) 2 (e) -0.048\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4.2, 2.\nAnswer: 2, 3, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/76000 and -35\/64.\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -13*d**2 + 2*d + 580. Is 58 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 917*z**4 - 584*z - 3290886.\nAnswer: 3668*z**3 - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -6. Let i = -10.00026 + n. Round i to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -154 and -0.4?\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2673 and 38907.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 - g. Let m be ((-2)\/(-5))\/((-3)\/(-15)). Let t(d) = -d + 0*d + m*d. Let b be t(-1). Determine q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36103.\nAnswer: 79, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + y - 13, -2*w + 257*y - 258*y = 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-8)\/12*1\/(-2)). Let o(r) = 2*r. Give o(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + -169. Let j = 8 - w. What is the smallest value in -3, 7\/2, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/910)\/(2\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178828, 715088, 1608854, 2860126?\nAnswer: 4468904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4)*(0*o + 0*o - o) + 8065088 - 8065088 - 3938*o as i*o + p and give i.\nAnswer: -3937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (24 + -13) - -23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3660938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:51 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18748*h + 464*h**2 + 19610*h - 35*h**2 - h**3 = 0.\nAnswer: -2, 0, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2, -1017, 1, -4 in increasing order.\nAnswer: -1017, -4, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 2*a + 32. Let g be b(0). Let p = g + -45. Let q be (-3 + p)*1 + 2. Which is greater: q or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.14 - -10. Let z = -1591.9 - -1781. Let x = 189 - z. Which is the nearest to x? (a) 1 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose -x + 450 - 59 = t. Suppose -2*m + x = 77. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/4 + -7)*(-3 + (-95)\/(-30))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -103922.\nAnswer: 135098.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -3\/358 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -163*n - 127. Let p be r(-18). Find the third derivative of -2807*w + p*w - 58*w**4 + 102*w**2 wrt w.\nAnswer: -1392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46552 is divided by 518.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 0 + 1\/6*r**4 + 1\/3*r**2 - r - 1\/3*r**3 - 1\/30*r**5. Let v(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 24, 0 in decreasing order.\nAnswer: 24, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 7. Let r be (s\/(-6))\/(3\/352). Suppose 0*d - u - 201 = -4*d, -4*u = 4*d - r. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*l + 16, -4*l = 73*n - 72*n + 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -3 (c) 4\/3 (d) -0.3 (e) -1\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1564511 (base 8) to base 9\nAnswer: -760273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1429 - 2246 = 5*b. Let k be (232\/12)\/((-2)\/192). Let q = b - k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18770 greater than or equal to -18767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i - i + 2*i)*(-4 - 1 + 4 - 1 + 0 + 3 + (-1 - 1 + 1)*(4 - 3 - 3) - 2 + 1 - 1 + 4 + 1 - 1) to s + x*i and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 18. Let d(k) = -2*k. Let a(q) = -2*q. Let m(x) = g*a(x) - 3*d(x). Let f(y) = -39*y**2 - 5*y**2 - 20*y**2 + 41*y**2. Calculate m(f(u)).\nAnswer: -46*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -0.093342778344306?\nAnswer: 3.906657221655694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15764589377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*w + 86 - 130 = -716. Let b(p) = -p - 37. Let i(h) = -2*h - 111. Calculate w*b(o) + 3*i(o).\nAnswer: 2*o - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 4*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*(-5 + -2*sqrt(539)) + -5)**2)*1.\nAnswer: 1680*sqrt(11) + 34722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + 110. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669.6185 kilometers to micrometers.\nAnswer: 669618500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 87144237 and -41.\nAnswer: 87144196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 116\/5 and 23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u - 707401*u**3 + 707395*u**3 + 329*u**6 + 3*u - 4076*u**2 wrt u?\nAnswer: 39480*u**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -760.18 - -52.28. Let q = j + 51.9. Let f = 656.000287 + q. Round f to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2896.01321 to 1 dp.\nAnswer: -2896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5913.8136 rounded to the nearest 100?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) + (-4)\/(-14). Suppose h = 5*t + 4*l - 28, 2*t - 4 = -5*l + 14. Suppose 0 = -4*n + 16 - t. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79600?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (0\/(-4))\/(-4). Suppose -y*j + 4*b + 20 = 0, -j - 3*b + 1 - 4 = 0. Solve 6*s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 13 = 3*w, 3 = w + 4*w - 2*a. Is w >= -2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 369255, 369229, 369211, 369201, 369199?\nAnswer: 369205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14130581?\nAnswer: 14130581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = 3*l - 385, -578 = -3*u - 4*l. Let s be ((u + 4)\/(-6))\/((-3)\/2). Suppose -7*b + 275 = -2*b. What is the highest common factor of s and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.1. Let f(j) = -8*j**3 - 6*j**2 - 7*j + 1. Let s be f(-3). Let p = -189 + s. What is the biggest value in -2\/7, p, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.000104 + -7. What is c rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157741.\nAnswer: 233, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/2 or -6173?\nAnswer: -6173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 2*i**2 - i**2)*(8*i + 3*i - 9*i)*(-i + 0*i + 2*i) in the form l*i**4 + n*i + v + t*i**2 + p*i**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31402*k**3 - 48668*k**3 - 174629*k**3 - 52914*k**3.\nAnswer: -244809*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(448))**2 - (-2*sqrt(7)*-4)**2.\nAnswer: 1 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.103 + -139.103. Let l = 135 + q. What is the smallest value in 2, l, 0.5, -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2061*t + 28. Let k(j) = 760510*j + 10325. Give 4*k(o) - 1475*m(o).\nAnswer: 2065*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*u + 1980 = -20*u - 7*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + 5. Suppose -n*f + 25 + 37 = 2*x, -f = 2*x - 59. What is the remainder when x is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30745 divided by -5.\nAnswer: -6149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 6, d: 3, x: 4, z: 1}. What is prob of sequence xdx?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by (-740)\/15*(-42)\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one fifths of a hour?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 + 10679*t**2 - 10943*t**2 - 5*t + 5*t to a*t**3 + r*t + m*t**2 + w and give m.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41)\/1 - (1 - 2). Let j(n) = -n**3 + 2*n - 1. Let a be j(1). Is (a - 3)*d\/12 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 8*w**3 - 580*w**2 - 884*w - 296 = 0.\nAnswer: -1, -1\/2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -90. Suppose 35*w - m*w = 182. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242 + -4?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 414.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*-6*(-2)\/330*(-3 + 10 + -2).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.6690505 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0965643, -1, -5 in ascending order.\nAnswer: -5, -1, 0.0965643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + 1*sqrt(13)))**2 - (2*(sqrt(1573) - (1 + sqrt(1573))))**2 - (-3*(2 + (sqrt(208) - sqrt(208)*-1))*-2)**2.\nAnswer: -29636 - 1280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g**2 + 0 - 105\/2*g**4 - 147\/4*g**5 + 9\/4*g**3 - 3*g = 0 for g.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*z - 7014999, -z + l + 3315 = -1399684. Round z to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057 times 3438?\nAnswer: -3633966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(65)\/sqrt(5)*1*6 + 1 - ((sqrt(65)\/sqrt(5))**2 + 2 + sqrt(650)\/sqrt(2) + sqrt(13))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*q**4 + 16*q**3 - 2332*q**2?\nAnswer: 768*q + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118168279 to the power of 1\/2, to the nearest integer?\nAnswer: 10871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*w**5 + 2*b - 3862*w**5 - 323*w**2 + 2*w wrt w?\nAnswer: 60*b*w**2 - 231720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40303435577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*m - 23478275 = -600*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5*r = -13*l + 53, -2*r = -10. Solve l*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 11*o**2 + 9*o - 8. Let z be t(10). Let w = z + 113. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1449\/8 + -181. Which is the biggest value? (a) 1 (b) 0.3 (c) -29 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 1\/4*m**3 + 2*m - 1 - 5\/4*m**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:52 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k*k\/k**(-1))*k)**(-17))**(-16\/5) assuming k is positive.\nAnswer: k**(-272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) 447 (c) -3\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 312 = 6*m. Solve -m*o + 54*o = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njzz when four letters picked without replacement from {z: 6, i: 3, o: 3, n: 1, j: 1}?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -741, -288, 539, 1800, 3555, 5864?\nAnswer: 8787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - q - 6, -4*q + 28 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + (-8)\/(-6). Suppose 2*n = -3*q - 7, 2*q - 3 = 5*q. Which is the nearest to n? (a) f (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 21 + 12. Solve 0 = -2*b - 10, -v*b + 4*b + 4 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahmhw. Give prob of sequence mh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/65)\/(1428\/(-24752))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/30 - m**2\/2 + m. Let x(z) be the first derivative of b(z). Let y(n) = 3*n**2. Give y(x(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22.42 * -0.07\nAnswer: -1.5694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4158\/363 + (-12)\/(-22). Solve a*p - 35 = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5\/7 - 25*a**4\/7 - 48*a**3\/7 - 20*a**2\/7 = 0. Calculate a.\nAnswer: -1, -2\/3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5 + 3*f + 17*f + 29 - 2*f. Let j be y(-7). Round j to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -0.05 (c) -1\/1751\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/906192 and 47\/41760.\nAnswer: 9061920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5 + 2627*b**4\/5 - 114446*b**3\/5 + 325688*b**2 + 1095776*b\/5 + 170368\/5 = 0.\nAnswer: -2\/5, -1\/4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65056*s**3 + 830*s**3 - 91*s**2 + 91*s**2.\nAnswer: 65886*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*i = -38, 30 = 15*l + 3*i - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3567067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 60 + 30 = 3*m - 0*m - 10*q, -3*q = 40*m - 591 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/4 - 34*w**3\/3 + 8*w**2. What is the lowest common multiple of b(20) and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96107369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4983\/143 - (24\/13 - 2). Let f be 1\/((v\/(-65))\/(-7)). What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4283 is divided by 92?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -117, -162, -189, -192, -165, -102?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -o - 0*o + 4, -5 = 5*o + 15 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270084 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.701592 decades in millennia?\nAnswer: 0.03701592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i - 1 + 9 - 8 as g*i + l and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 4124620\nAnswer: 12373860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/120 - 31*n**5\/60 + 71*n**4\/12 + n**3\/6 + 30*n**2. Is 5 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o**2 + 1. Let p(l) = -l**2 - 7*l - 7. Let c be p(-6). Let r be ((-1)\/(-4))\/(c\/(-4)). What is the units digit of g(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 347*x**3 - 9*x**2 + 37*x - 118. What is the tens digit of p(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 58 + 102 - 35 - 3*k. Let t(q) = -q**2. Determine v(t(f)).\nAnswer: f**2 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4 + 64065*u**3 - 1732302*u**2 - 7697892*u - 7954104 = 0.\nAnswer: -21382, -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-700))\/((1\/(-5))\/(-1))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650825468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685 + 415*g**3 + 1367 + 597*g**3 - 682.\nAnswer: 1012*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*p + 4928*p + 469728 for p.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = 23*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 + 9*n**2 + 121*n - 4. Let s(v) = -6*v**3 + 8*v**2 + 120*v - 3. Let p(x) = 4*j(x) - 5*s(x). Find the second derivative of p(t) wrt t.\nAnswer: 12*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 5*f**3\/6 + 3*f - 4. Let v(x) be the first derivative of k(x). Determine v(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 16674 = 23*a - 43*a. What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3bca23 (base 15) to base 8\nAnswer: 12764527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 27 = -51 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 29 - 62)*(1 - 3 + 4)*(1 + 10*y - 1).\nAnswer: -60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 22 = -2*i, 0*i - 29 = 4*z + 3*i. What is the units digit of (-21)\/(-14)*z\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -69, -68, -67, -66, -65?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, -4, -11, -20, -31, -44, -59?\n\"Answer: -b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one eighths of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 23297, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4806*d - 103434 + 72404 = -453958 for d.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - d + 7*d + 5*d to p + j*d and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119436925*f**2 - 1210800*f - 120 wrt f?\nAnswer: -238873850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -848*m**3*y - 146*m**2*y - 4 wrt m?\nAnswer: -5088*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 15 = 7*l. Suppose 12 = s + l*s. What is the highest common divisor of s and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 28*j + 90. Suppose 13377*o + 324 = 13413*o. Give s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from zyzzyz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3868 - 579?\nAnswer: 3289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiggrggiibggiigi. Give prob of picking 1 i, 1 r, and 1 b.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (44\/66)\/(2\/(-21)). Let p(c) = -2*c - 5. Give p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 615*j + 32. Let k be f(4). Suppose -12558 + k = -2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36.7 and 0.513.\nAnswer: 18.8271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(125) + 1*sqrt(125) + -2 + -5)*4.\nAnswer: -23 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z. Let y be d(0). Let j(h) = h**2 - 23*h + 2. Suppose 19*x - 249 - 188 = 0. Let n be j(x). Solve y = t - n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 210 = -4*l, 3*f + 37757 = -5*l + 37802 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -20 + 12 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17\/51)\/(1\/18). Suppose 0*t + 2*t = 8. Suppose 0 = w*h - t*h. Solve 4*m + 16 = -h*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593159654.\nAnswer: 2, 3, 59, 113, 39827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -3.7. Let d be 4\/14 + 536\/(-14). Let w be d\/(-30) - 3\/5. What is the closest to w in -3\/7, q, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(160\/(-1440)*(-9)\/5).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 78\/12)\/2. Sort -3, z, 0, -0.5.\nAnswer: -3, -0.5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6207 and 0.5.\nAnswer: -0.31035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 582\/35 + -84\/5. Let o = 89062 - 12468389\/140. Let f = i - o. Calculate the common denominator of f and -17\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:44 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 1 + 1)*(2*c - 5*c - c)*(-2*c**2 + c**2 - c + 3*c).\nAnswer: 4*c**4 - 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - 2 - ((1 - -3) + 18 + -57)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 3\/10, 9\/5, -0.07.\nAnswer: -0.07, 3\/10, 0.8, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66799*j**2 - 83*j - 244.\nAnswer: -133598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 5*l - 2. Let w be t(-4). Let a(d) = d + w*d - 5*d. Let f(m) = 8*m**2. Determine f(a(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + 0*c**4 - c**4)*(1574015 + 0*c + c - 1564602 + 0*c).\nAnswer: c**5 + 9413*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*f + 0*f + 0*f + (0 + 5 - 3)*(-f + 5*f - 2*f))*(-1 + 0 + 3)*(3 - 3 - 3*f).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 346*f + 112. Let o(d) = -115*d - 42. Let w(l) = -8*o(l) - 3*p(l). Let s(x) = 9*x. Calculate s(w(c)).\nAnswer: -1062*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.840507 months in years?\nAnswer: 0.07004225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049987931?\nAnswer: 3, 83, 4216819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-15)*((-22)\/33)\/((-57)\/45)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2 and -17\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven sixteenths of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3102)\/99*(-8)\/(-24))\/((-16)\/72).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.904 and -53.\nAnswer: -52.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 2 - 69\/(-10) and 23\/(-5)*(-113)\/(-113).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203*q + 60559 = 18454 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 51. Suppose 0 = 4*o + 4*h, -4*o + 3*h = -4 - l. Suppose -o*b = b - 20. What is the highest common factor of 40 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4668048 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 f when three letters picked without replacement from {f: 1, q: 5, k: 5, p: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = -3*x - 21, -30 = -4*q + 5*x. Suppose -k = -3*u + 177, -2*u - u - q*k + 195 = 0. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -15 + 18. Suppose 3*j - 6551 = -2*j + 3*o, -3*o - 3933 = -r*j. Suppose -j - 469 = -2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -649901 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -52*b + 50*b, -s = -266*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.6 (b) 11 (c) -0.5 (d) 4 (e) 154 (f) 0.07 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58590 is divided by 342.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 0 + 19*q + 3 - 12*q)*(3*q**2 + 5*q**2 - 3*q**2).\nAnswer: 10*q**3 + 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 25. Let k be (-3 - -19)\/((-5)\/l). Suppose -v + 2 = -2*m - 1, -3*v = -m - 9. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 + -0.37. What is the biggest value in f, 0.1, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*k - 585*k + 470*k + 3*k**2.\nAnswer: 3*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 3*r + 3. Let l(h) = 7*h**2 + 9*h + 4. Let i(u) = -11*u**2 - 14*u - 6. Let x(k) = 5*i(k) + 8*l(k). Determine -2*a(n) + 3*x(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -16*n. Let f = -18 - -13. Let o(k) = -11*k. Calculate f*t(a) + 8*o(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 192192.9 litres?\nAnswer: 192192900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 g when three letters picked without replacement from ggnnnugnkn.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.7923625 nanoseconds to weeks.\nAnswer: 0.00000000000003437890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - -396)*2\/(1 + 1). Suppose g = 19*c - 16*c. Let b = -70 + c. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11495947 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -224885*p**4 - p + 93987.\nAnswer: -899540*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14093.\nAnswer: 17, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 5. Let g = k - -4. Let f be (-6)\/g + (-9)\/42. What is the closest to f in 0.2, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -66708242025.\nAnswer: -66708242028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*l + 6, -5*l + 29 = -u + 4*u. Suppose -u*z + 5 = 2*z, z + 47 = -4*g. What is the units digit of 106\/10 + g\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 575030.3 years?\nAnswer: 575.0303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2041 = 2*s, 4*f - 14*s - 8164 = -18*s. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.997 less than -336.9?\nAnswer: -347.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3*u + 47946500*n**3 + 57232334*n**2*u**2 wrt u?\nAnswer: -n**3 + 114464668*n**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 685 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 421998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237241361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Solve r = -n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 - 57*p**2 + 986 - 985 as d + j*p**2 + k*p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*v**3 + 114*v**2 - 2816*v**2 - v - 231*v**3 + v.\nAnswer: -v**3 - 2702*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 849, 3938, 9065, 16230, 25433?\nAnswer: 36674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**3 + 922194*i - 20924915.\nAnswer: 3*i**2 + 922194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60, -24, -2, 2.51, -0.4, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2292 divided by 4\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = -30531 - 23739. Let v be 1\/(-4) + a\/(-60). Suppose -c + v = l, 0*l - 5*c - 44 = -l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1517.293 kilograms to micrograms.\nAnswer: 1517293000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60d256 - -83?\nAnswer: -60d1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/5 - 28*n**2\/5.\nAnswer: 4*n**2*(n - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 15 = 6*b, -2*j + 303 = -4*b - 8*b + 225 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ae - 1?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -189)*6\/(-8). Let p = 171 + -117. Let t = f - p. Round t to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45830 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + (-4 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 17*y + 37)*(13*y**3 + 10*y**3 - 28*y**3).\nAnswer: 85*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20573, 20600, 20627?\nAnswer: 20654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/8 - 7158333*j\/4 + 17080577112963\/8.\nAnswer: 3*(j - 2386111)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 129263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 273, 354, 493, 696, 969?\n\"Answer: k**3 + 23*k**2 + 5*k + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7030442 divided by 5?\nAnswer: -7030442\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -519\/10 + -20353\/10. Let g = -2098 - h. Is g at most as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1535*a*b**2*j**3 - 4*a*b*j**3 + a*b*j**2 + 2*a*j**3 wrt b?\nAnswer: 3070*a*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -424*c - 2980. Give a(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 0*i - i + 8*i - 3*i - 9*i + 3. Let z(x) = 11*x - 7. Give -13*n(p) - 6*z(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*y + 4186 = 39*y - 2651 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*10\/(-600)*-6 + (-586)\/(-1110). What is the nearest to q in 2, -3\/2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z - 15. Solve z*j = -j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18122 - -32132. What is the highest common divisor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1654.9557 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - (-396)\/(-77))*-8)\/((-3)\/(-21)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -82, -154, -264, -424, -646, -942, -1324?\n\"Answer: -2*v**3 - v**2 - 29*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/45 + (23\/(-15) - (-20)\/15). Let q(v) = v**3 + 6*v**2 + 6*v + 3. Let d = -5 + 0. Let g be q(d). Which is bigger: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 8*v + 7. Let m(k) = -2*k**2 + 15*k + 13. Let z(i) = -5*g(i) + 3*m(i). Let s be z(5). Suppose s*r + 0 = 4. Is 1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 583215532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/17)*r*r*r\/(r*r*r*r**5) assuming r is positive.\nAnswer: r**(-83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c - 222 = 0. Suppose 0 = 35*p + 7*p - 2539 - 611. What is the remainder when c is divided by p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 8\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.0357 + -37. What is f rounded to three decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32686 + 32687.6188. Which is the nearest to 0? (a) 1 (b) -1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 521 - 61 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:01 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676624, -1353258, -2029892, -2706526, -3383160?\nAnswer: -4059794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 1:01 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + r. Let n be j(-1). What is the third derivative of 4*h**3 - 4*h**n + 7*h**2 + 2*h**2 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28142353 is divided by 221?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 + 508*o**2 - 1038*o - 17. Give u(-129).\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 5. Let m be l(7). Solve -2*j - 9 = -y, -m*j - y = 3*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 + -4)) + -2 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 7 + 47. Calculate the least common multiple of g and 20\/15 + (-20)\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from gyydyggcgcgqcgngdygc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/11, -4\/5, -0.4, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4\/7 - 102*l**3\/7 - 2688*l**2 = 0.\nAnswer: -64, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11339\/13 + 872. What is the nearest to g in 3, 5, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -407 - -457.3. Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 1, 4, 391 in descending order.\nAnswer: 391, 35, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(4\/(-11081)) + 66\/(-264)?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f - f + 27*f + 31*f to the form t*f + y and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231220 + 13?\nAnswer: 231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205 - -114. Let r = j + -32. Let x = r - -122.9. Which is the nearest to x? (a) -0.4 (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - a - 1. Let y(h) = h + 6*h - 7*h**2 + 3*h**3 - 1 - 5*h. Let i(l) = -l + 5. Let t be i(4). Let q(f) = t*s(f) - y(f). Factor q(r).\nAnswer: -3*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31638122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 76*v**3\/3 - 52*v**2 - 96*v - 757. Factor p(u).\nAnswer: 4*(u - 2)*(19*u + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-3)\/1 - -8. Let b be (20\/q)\/((-8)\/(-12)). Solve -8 = 2*w - 4*n, 5*n = b*w - 0*w + 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 6, x: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20095666 by -15.\nAnswer: -20095666\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1083 + -0.0687. Let u = l - 17.363. Round u to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-615)\/12 + 1\/4. Let p = 61 + j. Let g = -5 + 15. Calculate the greatest common divisor of g and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1577 * 2.\nAnswer: 3154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 8. Let z be p(-15). Let t = 17 + z. Is (-7)\/t - (-316)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)\/(k**(1\/6)*k)*(k\/k**(-1\/7))\/k**(-2\/5) assuming k is positive.\nAnswer: k**(3\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:05 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-1)\/(-1))*(-333)\/111\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 833536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10763 - 10686. What is the remainder when g is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -133, -196, -259, -322, -385?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 9.71391852988.\nAnswer: 9.71391852988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 5, n: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = h - 4 + 1 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21158731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12402 and 12402.\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3108901 from 120206765.\nAnswer: 117097864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361 by 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -6*u - 10. Let x = u - -15. Solve -t = x - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -2*n**4\/3 + 45*n**3\/2 - 2*n**2 + 25. Does 3 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4490720 and 181\/701040.\nAnswer: 309859680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let a(c) = -2*c**3 + c**2 + 3*c + 2. Let l(b) = -b**3 + b**2 + 2*b + 3. Let j(q) = -2*a(q) + 3*l(q). What is j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 79*w**2 + 1. Let h be c(-1). Let b = -48 + h. Let i = 58 + -41. Calculate the remainder when b is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39778 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11507, 11505, 11503, 11501?\n\"Answer: -2*h + 11509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 3*x + 2*x + (0 + 0 + 1)*(0*x + 0*x + 2*x) - 12*x + 378 - 378.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 14*l + 35. Which is the third biggest value? (a) l (b) 1\/7 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 9681.\nAnswer: -9681.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {t: 3, w: 2, g: 2, m: 1, s: 6, f: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 118, 2\/5, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -0.12168, 4\/3, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + 210?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -485.81 + -7.19. Let c = -513.7 - w. What is c rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v. Suppose -3*a + 4*y = 10, 0 = 2*a + y - v*y - 8. Let b(j) = -2*j - 2. Give b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 2*q = 0. Suppose -2*y + y - 3*t + 1732 = q, 0 = -2*t + 10. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 0.343\nAnswer: -0.3773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 179804616 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 11.697, -4 in decreasing order.\nAnswer: 11.697, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5 - 19. Let z(s) = 10*s - 118. What is the lowest common multiple of g and z(14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 566 + -768. Let n = -202.000000525 - j. Round n to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -101*i + 4. Is o(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**3 + d**2 + d + 1. Let k = 4 - 2. Suppose -k*c + 4 = -6*c. Let j be t(c). What is the highest common factor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**4\/24 + 102*c**2 + 2*c. Let q(u) = 197*u. Calculate q(z(b)).\nAnswer: -197*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d81 + 4?\nAnswer: -3d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9823228*q - 11235401?\nAnswer: -9823228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 2661, -4, 3, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19759.\nAnswer: 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29445603 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -0.34. Let b = 14 - 13.9. What is the nearest to b in 4, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 + 23*b**2 + 22*b + 4 + 4*b**3 - 7*b**3. Let x be i(-22). Find the second derivative of q - 5*q**4 - 9*q - q**4 - 7*q**x wrt q.\nAnswer: -156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -449 - -537.2. Let g = -88 + z. Let k = -4 + 8. What is the nearest to 1\/3 in -4, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -47, -107, -201, -335, -515?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*l**2 - 137*l**2 + 180*l**2)*(-3*l**3 + 3*l**3 - l**3 + (-2*l + 2 - 2)*(2 - 2 - l**2)).\nAnswer: 276*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4760\/(-850))\/((-119)\/3740*-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 422*o**3 + 688*o**2 + 11*o + 22. Let c(i) = 211*i**3 + 343*i**2 + 6*i + 12. Let h(d) = -11*c(d) + 6*y(d). What is the third derivative of h(j) wrt j?\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -133 + (-157 + 72 - -129)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 187*x**2 - 98*x + 225. Calculate d(93).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 3 - -4 - (0 + -1). Is 182\/(15 + -2)*1\/d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 n when four letters picked without replacement from {k: 4, v: 6, n: 4}?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from zxxxvxzzzv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251 - 51. Suppose j = 6*w - w. Suppose 3*z - w = 17. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4)*8\/(-12). Let v be ((-216)\/(-70))\/4 - 1\/5. Let k = 6 - 5.6. Which is the nearest to x? (a) -3 (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 73. What is the third biggest value in v, -5\/2, 9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2327\/56 + -290\/7. Let w = 0.4 + -0.3. Let h = w + -0.2. Which is the nearest to 2\/3? (a) h (b) -2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*f = 2*c + 8, 5*f = 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 + 239 + 2896 - 1570 - 2*q**3 - 1565.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/20425 - -1817779\/939550. Suppose 0*q - 270 = -5*q. Calculate the common denominator of (6\/8)\/(q\/348) and p.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33240339 divided by 11\nAnswer: 3021849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 121.45 = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -7231000 to the nearest one hundred thousand.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 37400 = 4*f. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9782388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5355 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200031 (base 4) to base 6.\nAnswer: -115245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 482*i**3*q**3*w**2 - 17*i**3*q + 2*i**2*q**3 - 2*i**2*w**2 - i*q*w**2 + 15*i*q*w + 2*q*w wrt q?\nAnswer: 2892*i**3*q*w**2 + 12*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66, -243, -536, -945, -1470?\n\"Answer: -58*s**2 - 3*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.65039 nanograms in tonnes?\nAnswer: 0.00000000000003565039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - -19. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/14 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/7, -0.5, -0.7 in ascending order.\nAnswer: -0.7, -0.5, -3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 714\/207709 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times 13966.8\nAnswer: -1815.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k + 4. Let p(y) = -471*y - 6145. Let j be p(-13). Suppose -20 = 2*h - 6*h. Put k, j, h in decreasing order.\nAnswer: h, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-4 + 3)*-2. Suppose -x + z + 3 = 0. Suppose -111 = -x*l + 117. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 z when four letters picked without replacement from jlzvlizjqzlzjlq.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -31.0709 and -423310.\nAnswer: -423341.0709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*d = -9, 0*d = -5*x - 5*d + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351452.\nAnswer: 2, 41, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18713 divided by 6.\nAnswer: 18713\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 7122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/618380 and -43\/196.\nAnswer: 618380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2\/3 - 7444*j\/3 + 4968 = 0.\nAnswer: -1863, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18864*n**2 + 17424 + 19020*n**3 + 540*n**4 + 14052*n**2 + 17581*n**2 + 4*n**5 + 41091*n**2 + 52800*n.\nAnswer: 4*(n + 1)**3*(n + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813 + 1613 + 964 = 80*g + 350 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**2\/3 + 40*v\/3 - 12 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13\/(-65) + (-111)\/(-5) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22181, -26317, -30453, -34589, -38725?\nAnswer: -42861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((99\/27)\/(7\/(-14)))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 517*g + 1060*g - 522*g + 2 to p*g + n*g**2 + q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/117 + -101\/936. Let j = -0.5 - 0.5. Let f = -1.3 - -0.3. Which is the nearest to j? (a) f (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 6*z**2 - z + 2. Let l be o(6). List the prime factors of l\/(-6) + 86\/6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/13106 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9027\/(-708) - (2\/11 - (-1564)\/(-253))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 59 = 4*r, 2*r - 3*r + 5*z = -29. Suppose -r + 1 = -l. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.493622 millilitres to litres.\nAnswer: 0.009493622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36800 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((93\/(-124))\/((-15)\/12))\/((-3)\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7264888 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 31. Let x be r(-7). Suppose -2*h = 3*h + x*a - 437, 5*a = 4*h - 366. List the prime factors of h.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m + 6. Suppose r - 5*z - 25 = 0, 18*z = 3*r + 19*z - 91. Let g be -1 + r + m + -3. Solve -6*o + 4*y - g = -2*o, -4*o - 5*y = -17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 21*l - 1. Is 5 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27318877*h**3 + 21583844*h**2.\nAnswer: -163913262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*k + 33 = 0, -28 + 112 = -0*x + 2*x + 3*k + 55 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**5 - 5*d**2 - 4*d**5 - 118*d + 2*d**4 + 14*d**2 + 123*d wrt d.\nAnswer: -300*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*n + 1035 - 3419 - 145 = 2169 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -12. Let t(c) = -c**2 - 2*c - 2. Let w be t(j). Which is bigger: -9\/7 or w?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*s + 3*s - 35, 5*d + 4*s - 28 = 0. Let t = -2 + d. Calculate the smallest common multiple of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from afaazvaaabbba?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.2588 + -1.8588. Let b be (-8)\/9 - (-4)\/6. What is the fourth biggest value in 0, m, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 2*d)*(13*d - 7*d - 11*d) + 261*d - 261*d - 44*d**2.\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 689640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*m**3 - 493*c*m**2*n - 609*c*m*n - 2*m**3*n + 2*m**3 - 15773*m**2 wrt c.\nAnswer: m**3 - 493*m**2*n - 609*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6502.084l to millilitres.\nAnswer: 6502084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*3\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 1280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 - 128. Let l = z - -12. Let s = -13 - l. What is the biggest value in -1, 2\/5, 1\/3, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15208 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {o: 1, t: 6, j: 2, g: 4, w: 7}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48030311 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 999489*q**4 + 100609*q**2?\nAnswer: 23987736*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 1 + 1)*(-3 + 23*i - 20*i - 1) to g + k*i**2 + r*i and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:23 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/2 (c) -48 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-18)\/48))\/((-6)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43180\/917575*(-2)\/((-8)\/1).\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 8*i**2 + 7*i + 1. Let f = -14 - -7. Let z be m(f). Let t be (-123)\/(-9) - z\/(-3). Solve -x + 3 - t = -2*k, 5*k + 3*x = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1696 - (3 + -2)) + (-4)\/(-1). Suppose 9*m + 565 = k. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76000.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, k: 3, r: 3, u: 1, e: 1, b: 2}. Give prob of sequence kri.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 93*n**2 - 528*n - 90106. Determine u(106).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**2 + 587*b - 3559. Calculate i(6).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + (3 + sqrt(405) + 1 + 0 - -5*(sqrt(405) + -1 + sqrt(405)*2)))*4)**2.\nAnswer: -13824*sqrt(5) + 1659024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 16*p - 20. Calculate g(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*11\/((-99)\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525327*u + 525149*u = 14418 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/71, 10.17, 1\/10 in descending order.\nAnswer: 10.17, 13\/71, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32487*i + 584759. Give v(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 575 and 105?\nAnswer: 12075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -181697931*d**2 + 257913511 wrt d?\nAnswer: -363395862*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 109, 9, 4\/7, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b - -57c0?\nAnswer: 57db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-7))\/(-21)*18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g*g*g\/((g*(g*g**(-2\/11))\/g*g)\/g))\/(g**(-2\/7)*g\/g**(-3\/2)))\/(g**5*g\/(g*g**(3\/8)*g)*(((g*g**(1\/7)\/g*g)\/g)\/g)\/g**(-4\/5)) assuming g is positive.\nAnswer: g**(-11089\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7639514 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4336 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: How many minutes are there between 1:01 AM and 4:32 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.047 - -0.453. Let t = -1 + 6. What is the smallest value in 1, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-11) - 13120\/(-1804). Solve u*o - 29 + 1 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*u - 56 = -6*u, -4*u = -8. Suppose -5*r + 2*r = -18. What is the lowest common multiple of 0 - r*3\/(-3) and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.5, -0.3, -0.096, 0?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2076 is divided by 686?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1329)\/9 - (5 - -1). Let h = z - -154. Factor -4*p - 2*p**2 - h*p**3 - 8\/3.\nAnswer: -(p + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 - (170 + 219) - (-30 + -1).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*z - 62 - 6438 = 172 + 5058 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 50.1?\nAnswer: -5.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3 + s - 5 - s**2 - 10*s - 2. Let f be l(-6). Solve q - 2*o = -8, -f = q - 4*o - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 15, 406*l + s = 351*l - 335 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 14*h**2 + 14*h - 23. Calculate f(-13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1057*p + 7*p**2 + 722*p - 9*p**2 - 112*p to j*p + b + i*p**2 and give j.\nAnswer: 1667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + 54*a + 2. Let w be l(-16). What is the greatest common factor of 152 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + c**2 + 2*c + 1. Let y(u) be the second derivative of -13*u**5\/20 + u**4\/3 + 3*u**3\/2 + 5*u**2\/2 - 13*u. Determine -18*x(m) + 4*y(m).\nAnswer: 2*m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 - 2 - 4*a**2 - 2*a - 5*a**3 - a**2. Let r(p) = -81*p**3 + 33*p**2 - 33*p - 33. What is -33*f(y) + 2*r(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7627*i + 12. Let u(c) = -106778*c - 174. Determine 29*h(q) + 2*u(q).\nAnswer: 7627*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*x - 282 = 3 + 26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*v = -2, -8 = 4*k - 0*v + 5*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o + 37*o + 39*o - 150*o + 39*o - 5538*o**2.\nAnswer: -5538*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24.949, 1, -0.1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -14*j - y, 4 = -2*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 6:03 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/2 + 1841*o**2 + 43840*o - 204848 = 0.\nAnswer: -3658, -28, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 3) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/10, 0.17, -0.4, -2 in descending order.\nAnswer: 4, 0.17, -1\/10, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 42*b**2 - 16*b + 45. Is g(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9022 (base 10) to base 14.\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 441\/(-189)*(-510)\/(-35)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-63)\/36*(-16)\/(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1214 = 3*x - 334. Let z = -496 + 231. Let p = x + z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*2)**2*2 + -5.\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 112. Which is the nearest to -0.1? (a) u (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453029218907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*y**3 + 231*y**3 - 18*y**3 - 881*y**3 - 1357*y**3 + y**3 - y**2 + y**2 + (0*y**2 - y**2 + 4*y**2)*(y + 2*y - 5*y).\nAnswer: -1929*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21924*y**4 - 1663*y wrt y.\nAnswer: 263088*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 28*g + 98.\nAnswer: 2*(g - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5 + (-6 + 4 + 0)*(0 - 3 + 1) + 5 - 2 - 1 + 2 - 1 + 1 - 3 - 2 + 4)*(1 + 1 + 0)*(-72*d - 346*d**5 + 72*d).\nAnswer: -4152*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10831, 21577, 32323, 43069, 53815, 64561?\n\"Answer: 10746*h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -28, -99, -244, -487?\n\"Answer: -4*v**3 - v**2 + 10*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8057 + 8058.00005. Let b = 0 + -1. Let y = b + q. Round y to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -640.751 - -645. Let p = n + -4.58. What is p rounded to 2 dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 492772550 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 250 - 472 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/9)*p)**(-1\/9) assuming p is positive.\nAnswer: p**(-14\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (291222\/8)\/9 + (-2)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i + 31*i = 0. Solve 0 = -i*o - 3*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29960 and 2996?\nAnswer: 29960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-1792)*-14)\/(3*-5)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*z - 12 = 6*z, -4*z = 16. Let k(v) = -2*v**2 - i*v**2 + 3*v**2 + 1 - 2*v**3 + 3*v**2. Let n(w) = w**2 - w + 1. Calculate k(y) - n(y).\nAnswer: -2*y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/4 - 570*f**4 - 1230957*f**3\/4 + 39630269*f**2\/2 = 0.\nAnswer: -1169, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 250 = 5*g + 5*n, -4*n = 5*g - 232. Suppose -3*d = -4*z - 100, 4*z + 15 = d - z. Let w = -15 + d. What is the remainder when g is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-3 - (-2)\/1). Suppose 0 = -57*s + 36*s + 1218. Suppose s + j = x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4)*(-5 + 5 - -1042) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 2.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -20*v. Let g(l) = -17*l + 129. Let w be g(6). Let s(r) = -w*r + 15*r + 14*r. Calculate s(j(a)).\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**6\/72 + b**5\/4 - 15*b**4\/8 + b**3\/2 + 25*b. Let r(p) be the second derivative of x(p). Factor r(h).\nAnswer: -5*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303231 (base 4) in base 14?\nAnswer: -12c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 52*j + 61 = -63 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdz when three letters picked without replacement from dzqdvvn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 566*d**2 - 1158*d + 4. Give f(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 9.5.\nAnswer: -4.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.6770537 - -20.677054. Let j = -4 + m. What is j rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33734\/12 + (-8)\/48. Let l = i - 6191. What is l rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g*g\/(g*g**(-1\/3)\/g)*g)\/g*g)\/g*g)\/g)**36\/(g**4\/((g\/g**10)\/g*g)) assuming g is positive.\nAnswer: g**107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37 - 2\/((-7)\/((-14)\/4)). Solve 4*t = m - 16, 3*m + m + 4*t = -g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 33923382*d**3 + 95899687783203*d**2 - 191799273796272*d + 95899619936448.\nAnswer: 3*(d - 5653896)**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l - 14. Suppose 0 = 4*z + g - 17, -7 = -3*z + 8*g - 3*g. Let i(x) = -2*x + 62. Let h be i(25). Suppose 0 = -h*k - 4 + z. Calculate q(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65694208 divided by -128.\nAnswer: 513236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(3 - 3 - 2)*(3 + 1 - 2)*(0*p**3 - 4*p**3 + 2*p**3).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3465 and 150.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4043.983 and 3?\nAnswer: 4040.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9662 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*w = -596*w + 12 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 72 = 4*r + o, -5*r = -o + 59. Let w(p) = -18 + 2*p + p**2 - 5 + 0*p. Does 10 divide w(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*d - 16*d = -510 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-14)\/35)\/(24\/60))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 126, 124, 120, 114, 106?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 9. Let l be u(8). Let d(p) = -439*p**3 + p. Let n be d(l). Is 2\/3 - n\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1521, 1479, 1425, 1353, 1257, 1131, 969, 765?\n\"Answer: -r**3 - 35*r + 1557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.41 - -0.09. Let b = -0.46 - -0.06. Let p = b + w. What is p rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omu when three letters picked without replacement from {o: 1, z: 3, m: 1, i: 1, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -320*x**2 - 3*x - 38730.\nAnswer: -640*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-6) - 2\/4. Let g(t) = -7 + t + 7*t - 4*t + 2*t**i - 1. Is 12 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21446.118 months to years.\nAnswer: 1787.1765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 - -57. Let g be (-1)\/(-5) - (-5824)\/k. Find the common denominator of 6\/9*g\/(-8) and -71\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4699688253.\nAnswer: 4699688255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(0 + -6*((sqrt(192) - 3*(sqrt(192) - (sqrt(192) - (-5 + sqrt(192))))) + sqrt(192) + sqrt(192) + sqrt(192) + 6*(-4 + sqrt(192)))))**2.\nAnswer: -1314432*sqrt(3) + 12299044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let p = -4335 - -4301. Which is smaller: 5\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**5 - 18*f**5 + 0*f**5 + (2 + 2*f - 2)*(0*f - 2*f**4 + 0*f).\nAnswer: -18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 83 = 13. Let u be (-4)\/(-10) - 12\/30. Suppose -4*a + f + 2 = u. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79345, -1\/4, -576 in decreasing order.\nAnswer: -1\/4, -576, -79345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9360113?\nAnswer: 7, 1337159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 9. Let v(h) = 8*h - 18. Let o(a) = -6*v(a) + 11*w(a). Let q(b) = b - 2. Let l(n) = 2*o(n) + 11*q(n). Give l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 70087 = -76751. Let u = -224023 + 449861. Let n = u + g. Round n to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20178 is divided by 4359.\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, i: 7}. What is prob of picking 2 i and 1 q?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277 - -916. What is the highest common factor of c and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 35. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 143*l. Let a(m) = -5*m**2 - 4*m - 4. Let z(p) = -40*p**2 - 34*p - 34. Let o(c) = 51*a(c) - 6*z(c). Calculate g(o(x)).\nAnswer: -2145*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40734033 or -40734032?\nAnswer: -40734033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23162 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 623 - 621. Suppose 3*f - 32 = -d - 24, u*f - 10 = 4*d. Solve 0 = 5*t - f*k + 22, 0 = 5*t + 5*k - 10 - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 389\/337 + -3967\/1685. Let z = -52.01 - -0.01. Sort 0.2, o, -2\/3, z in descending order.\nAnswer: 0.2, -2\/3, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, 7, -12, 45 in ascending order.\nAnswer: -12, -5, -4, -2, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/13 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 26 - 164*q**3 - 57 - 55.\nAnswer: -164*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 - -206. What is the greatest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f**2 + 3*f - 15. Let w(g) = -6*g**2 + g - 8. Give -4*k(b) + 7*w(b).\nAnswer: -6*b**2 - 5*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -2\/9 (c) -1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2682191000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 2.3, -4, -2\/119, 5\/6, 1, -61?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58971154125 + 58971153515.999998612. Let w = -609 - x. What is w rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 2)*(l + 6*l - 12*l - 12).\nAnswer: 15*l + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 + -89. Let u = -37 + a. Calculate the greatest common divisor of u and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*t + 209 + 3789 + 5579 = 897 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**4 + q**3 - q**2 - q - 1. Let r(d) = -33*d**4 + 9*d**2 + 9*d + 9. Let n(u) = 9*f(u) + r(u). Factor n(z).\nAnswer: -3*z**3*(8*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200000 + 10?\nAnswer: 100200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -59, -62, -49, -20?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*d = -185, 3*c - 274 = d + 270. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 3*l**2 - 7. Let f be o(-4). Let m = -249\/11 - f. Factor 0 + 0*a**3 + 4\/11*a**4 - m*a**2 + 2\/11*a - 2\/11*a**5.\nAnswer: -2*a*(a - 1)**3*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 984, 2189, 3892, 6105, 8840, 12109, 15924?\nAnswer: 20297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, 4, -3\/121, 0.5, 0.7?\nAnswer: -3\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1869.83ng?\nAnswer: 0.00000000186983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*f - 7*f + 18, -2*f - p = -7. Solve 4*m + 6 = f*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2 - 49*j + 770?\nAnswer: -4*j - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -428.16 from -68.84.\nAnswer: 359.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176192?\nAnswer: 2, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -926 and 1857.8542354?\nAnswer: 2783.8542354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 + -176.3. Let g = -1.5 + 2. What is the third smallest value in g, 0.4, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 2*v - 2. What is the hundreds digit of w(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/36 and -43\/148.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35bd9b (base 14) to base 5\nAnswer: 432312141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 7*x - 32 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-45) - 1248\/(-108). Let w(b) = b**3 - 11*b**2 - 15*b + 13. Give w(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 36.5. Let g = 3.5 + x. Let k = 5.34 - g. Round k to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 6*c - 6. Let y(j) = 5*j + 5. Suppose -11*g + 27 = -2*g. Let w(m) = g*f(m) + 4*y(m). Let q be (-3 + 3 - 2) + 0. Determine w(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -2*w - 2*w. Let x = -76 + w. Calculate the common denominator of (-6)\/21 - 422\/x and -107\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3741013521 to the nearest integer?\nAnswer: 61164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2555385 and 1239?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 230 - 233. Put b, -66, 0, 1 in increasing order.\nAnswer: -66, b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/10 + 7*r**4\/6 + r**3\/3 - 5*r**2\/2 - 49*r. Let d be v(7). Solve -c + d = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.096178 + 0.574688. What is v rounded to 2 dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - g**2 + 3*g + 2. Let l be 16\/(-10)*5\/2. Let y be (-68)\/(-51)*(-9)\/l. Suppose 0 = -5*m + m - y*h - 11, m + 4*h = -6. Calculate i(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2. Let u(q) = 80*q**2. What is u(o(d))?\nAnswer: 720*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -5, -4, 1.1, -2483?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*z - 69*z + 17940 = 0. Solve -z = -d - 45*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -0.3, -0.52, -0.08, 0.2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110110111 (base 2) to base 16.\nAnswer: 19b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 6*y - 4. Let r = 0 + 5. Calculate the least common multiple of 32\/8*(-1)\/(-2) and s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhdhjjjhhhhj. What is prob of sequence dh?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.123 and -0.3.\nAnswer: -0.0369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75712 and 933504?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22530 less than -1.4?\nAnswer: -22531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 383 = l - 67, -953 = 3*l - 4*n. Let m = -160 - l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 93?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*v - 568*v = -130080. Calculate the remainder when 1127 is divided by v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 520964.2103.\nAnswer: 520963.2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j + 4. Let u(q) = -23*q**3 + 3*q**2 + q - 1. Let b be u(j). Suppose 4*g - 5*g + 4 = 0. Solve -g*v = -b + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 27*n - 116 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 48315.\nAnswer: 241575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -5*k**2 - 10*k + 8. What are the prime factors of d(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 1, q: 1, f: 1, i: 2, o: 1}. What is prob of picking 1 f and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.99 + -2. Let g = 17332 - 51992\/3. Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-42)\/108)\/(1190\/(-17340))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(24)\/sqrt(4)) + (sqrt(68) - 2*sqrt(68)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/17 + 43\/153. Let d = 127 + -219. Let p = d - -92.3. Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -13, 0, 1107, -4 in ascending order.\nAnswer: -13, -4, 0, 6, 1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 + 373522*o**2\/13 + 17440769328*o\/13 + 87194508840\/13.\nAnswer: 2*(o + 5)*(o + 93378)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 1, l: 3, f: 1, u: 3}. What is prob of picking 1 p and 2 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*m + 88*m - 60*m - 61*m + 155*m - 60*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552806562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*w + 2*w. Suppose -3*m + 13 + 92 = 5*g, w = 4*g + 5*m - 97. What is the lowest common multiple of 40 and g?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 446091.\nAnswer: -1\/148697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -112*k**4 - 9*k**2 + 13*k + 160. Let u(x) = -28*x**4 - 2*x**2 + 3*x + 40. Let q(p) = -2*f(p) + 9*u(p). What is the second derivative of q(d) wrt d?\nAnswer: -336*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 + 384*w**2 - 632*w + 31886. Calculate r(127).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -4, 25, 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.373 + -22.55. Let t = z - -0.097. Let i = t - -0.08. Which is the third biggest value? (a) 5 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*f**5 - 91*f**4 + 59*f**3 + 9*f**2 - 11*f - 2.\nAnswer: (f - 1)**3*(4*f + 1)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Let c be ((-1)\/3)\/(1\/(-54)). Let r = 16 - c. What is the smallest value in 0.06, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -5*k**2\/2 + 89*k + 14. Does 24 divide b(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1362.1*35.728.\nAnswer: -48665.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320 (base 4) in base 11?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2 + x + 5 + 7 + 0. What is the units digit of g(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.06 + -1. Let k = u - 0.092. What is k rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > 4425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1097\nAnswer: 3\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3275 = -5*w, -11*w + 2*x + 1310 = -9*w. Calculate the greatest common divisor of 2096 and w.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 29*r**2 - 2*r + 87. Give v(29).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3 - 42*q + 40 = 0.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5388701 grams to tonnes.\nAnswer: 0.0000005388701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*i**2 - 5*i**2 + i - 5*i**2 - 62*i**3 - 9*i**2 as x*i + p*i**3 + v*i**2 + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5434 - 3.4566. Which is the fifth smallest value? (a) r (b) 78 (c) 1 (d) 4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/3 + 16*d**4\/3 + 14*d**3 + 28*d**2\/3 - 40*d\/3 - 16.\nAnswer: 2*(d - 1)*(d + 2)**3*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqdqdqqdqqqdd. What is prob of sequence qdqd?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 times 191?\nAnswer: 50997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5.22*-0.569177\nAnswer: 2.97110394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4442077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -3.4314575.\nAnswer: -6.4314575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*r - 17*r + 45240 = 0. Calculate the lowest common multiple of r and 832.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.6 - 0.4. Let u be (-6 - 10\/(-5))*(-1)\/14. Sort -1, u, l in descending order.\nAnswer: u, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 100131111?\nAnswer: 100131110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2 - d**3 + 0*d**2 + 0*d**2 - 4*d. Differentiate c(u) with respect to u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592265415 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5642?\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7935 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -46098 < -45904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*g = -0*g + 7*g. Let j(h) = 2*h + h - 1 - 2*h + 23. Give j(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = 2*d - 12*o - 4, -3 = -4*d + 2*o + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5, x + 3*y - 14 - 24 = 0. Let r be (-10)\/34*(-14)\/x. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 470*(-23)\/(-805).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14126 + 177*h**3 - 237*h**3 - 227*h**3 - 14126 - 441*h**3.\nAnswer: -728*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 4?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1096571 * -9\nAnswer: -9869139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4606? (a) 0.2 (b) 10 (c) 3 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/21 and 53\/633.\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 33566730?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750352 divided by -8.\nAnswer: -93794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -38.\nAnswer: -11\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 152. Calculate the remainder when b is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11180*r - 396629 + 396629 as a + q*r and give q.\nAnswer: 11180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 2 - 15)\/3*-3. Let s = 13 - 12. Let g = v + s. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.7 + -13.87. Let j = 0.03 - x. Let p = j - -5.8. What is the third smallest value in p, 0.2, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = 9, -h = -5*s - 723. Suppose 3*g + g = h. Suppose 0 = -c - 3*q + 56, -4*c + q + 34 = -g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 192 + -192 + 1 + 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-266)\/35 + -4 + 11 + 1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 25, 40, 55, 70, 85?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*b - 19794. Let c = -2229 + b. Find the third derivative of c*t**6 + 8*t**2 + 2*t**2 - 1087*t**6 wrt t.\nAnswer: -2040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 46 = 17. Solve 0 = u + 2*w - r, 2*u + 3*u + 5*w = 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -25. Let q be (4 + k)\/4*6. Let t = 25 - 21. Solve -4*j = -4*d + 2*d + 18, 26 = t*d - q*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -797834237*a. Let x(y) = 2*y. Calculate c(x(l)).\nAnswer: -1595668474*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 17. Suppose -2*l - o*q - 10 = 0, -4*q - 21 = -5*l - 0*l. What is the units digit of 234\/3*l\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2074 = -589. Calculate the greatest common divisor of t and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 + 5*x + 5. Suppose -3*c + 25 - 7 = 0. Let u be (4\/(c - 4))\/(-2). Let w(p) = -p**3 - p - 1. What is u*s(d) - 5*w(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 1112 + 1067. Solve j - 4*s - v = -4*j, -4*s = -2*j - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43683 + 21841 - 13050*b**5 + 21842 + (-3*b**2 - b**3 + 3*b**2)*(-b**2 + b**2 + 2*b**2) - 2*b**5 + 2*b**2 - 2*b**2.\nAnswer: -13054*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64135, 128265, 192393, 256519, 320643, 384765, 448885?\nAnswer: 513003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-30) + 1\/3. Let y be ((-32)\/64 - (-23)\/2) + -7. What is the nearest to y in 4, b, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36604 divided by -4?\nAnswer: -9151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let a(w) = 210704*w**2. Determine a(z(y)).\nAnswer: 210704*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 h when three letters picked without replacement from rhhhhhhh?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*s + 6*s. Suppose -a = 3*a, 0 = t - 3*a - s. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 3*o + 1. Let m be p(-3). Let x be (m\/6)\/((-56)\/12). Which is the closest to -1? (a) x (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -117640 and -117640 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, 6, 0 in increasing order.\nAnswer: 0, 6, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 - 2.8. Let z = -0.3 - d. Is 7 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -180305*v + 2524271. Calculate x(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 53403.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**3 - n**2 - n. Let f be 1*2\/(-2) + 0. Let y be q(f). Solve l + 20 = y*g, 3*g + 5*l - 5 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 22. Let b be (-12)\/(293 - 5) - (-6)\/144. Calculate i(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 84 - 428 = 0. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -3. Let v = x + 6. Find the second derivative of -2*c**2 - c**2 + c - 2*c**4 + 3*c**v wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.5, -5 in decreasing order.\nAnswer: -0.5, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - 10*(-1608)\/240) + (-4)\/2*-29?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 330423 - -300431?\nAnswer: 1131404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.82493824 rounded to 2 dps?\nAnswer: 26.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 26*s - 15. Let d(h) be the first derivative of h**2 + 3 - 1\/3*h**s - h. Suppose d(i) = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -11525\/78272?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 4*x = 5*f + 15, 5*f + 15 = 5*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 20*r**2 + 35*r - 18. Determine k(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 9*o + 4. Let d(z) = 10*z + 3. Let r(w) = 2*d(w) - 3*p(w). Let m be r(-7). Suppose -4*k - m = -f, -f + 4*k = 2*f - 145. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -43*a + 11. Let w(o) = 21*o - 6. Give 4*v(s) + 7*w(s).\nAnswer: -25*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3 + g**2\/2 + 32*g + 6171. Calculate j(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 2*v + 22, -3*x - 2*v - 52 = 0. Does 54 divide (-13602)\/x + (-4)\/7 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/112 and (12\/(-480)*-388)\/(0 + (-32)\/10)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369995181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11766471.00322 + 11766301. Let j = -258 + 428. Let a = l + j. Round a to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-95)\/(-1070)*(-40)\/(-33). Let t = 18\/107 - a. Sort 0.09, t, -2 in increasing order.\nAnswer: -2, t, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83623 (base 9) to base 7\nAnswer: -316611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 7*x**2 + 6*x + 2. Suppose 2*f = 7*f - 3*s - 196, 0 = s - 3. Suppose f*w = 39*w - 20. Let z(i) = -i - 16. Let l be z(w). What is c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/2)\/(1\/(-6)). Let a be (r\/4)\/((-3)\/6). Suppose -z - 1 = -2*v + 2, -z + v = a. Is -3 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-7))\/(16\/(-952)). Let i(j) = j**2 + 10*j - 2. Let o be i(-11). Which is greater: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 112*n**4 - 32*n**4 - 120*n**2 - 12*n**3 - 5*n + 1115 - 1115 - 23*n = 0. Calculate n.\nAnswer: -1, -1\/4, 0, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 232, 459, 686, 913?\n\"Answer: 227*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227.8 - -228. Which is the nearest to 0.3? (a) 3 (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36031 + 15522?\nAnswer: -20206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/5 and -38\/27293021.\nAnswer: 136465105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = -2*u. Let g be (6980\/(-6))\/(u\/6). Suppose -5*m - g = 2760. What is m rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21.395428 and 0.039637.\nAnswer: 21.435065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -444 - 5051464?\nAnswer: -5052241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 - 2*r**3 - 14*r**2 + 16*r**2 + r**3 - 1 + 2*r**4 to z + i*r**3 + h*r**2 + f*r**4 + o*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, s: 7}. Give prob of sequence ss.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1399999*d**3 - 2*d**2 - 3*d. Let j be z(3). Round j to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000638545 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*a**4 + 17*a**4 - 37*a**4)*(-74 - 50 + 147).\nAnswer: 92*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 plus 34510?\nAnswer: 34573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -47, 6.\nAnswer: -47, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 7*q + 20. Suppose 27*i - 23*i = -4*s - 60, 20 = -4*i + 4*s. Calculate c(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11222 + -30021?\nAnswer: -12133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4655)\/(-35)*(-34)\/119?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(19) - (sqrt(19) + -1 + -5))*-4)**2 + -1)*4 + -1 + 4.\nAnswer: 9215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*z**3 - 39*z**3 - 35*z**3 + 2*z - 2 - 22*z**3 to y*z**2 + a*z + i*z**3 + r and give i.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -233*q - 87. Calculate f(-2).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**5\/100 - u**4\/30 - u**3\/30 + 26*u. Suppose b(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2, -4, 0.5, -10.2?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**4 + 906*k**3 + 14779*k**2 + 18*k + 54. Let z(n) = 3*n + 9. Let q(g) = l(g) - 6*z(g). Find the third derivative of q(m) wrt m.\nAnswer: -72*m + 5436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -2. Let o be 3\/(-4)*(y + 5). Is (-2 + o)\/1*(-449)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -60*t - 344. Let j be i(-6). Which is greater: j or -66?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22985, 23905, 24825, 25745?\nAnswer: 26665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*f - 6*f + 5*f)*(2*f - 3 + 3) + 29*f**2 - 13*f**2 + 37*f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*u**2 + 1)*(-5*u + 3*u - u) + (4*u**3 - 2*u**3 + 0*u**3)*(1 + 1 + 0).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28410752.\nAnswer: 2, 173, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 - 789*c - 588. Give r(-157).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 - -111. Calculate the smallest common multiple of 18 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-147 - -403916) + -13 + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -7*i**5\/60 + 3*i**3 - 17*i**2. What is the derivative of h(l) wrt l?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 1. Calculate t(14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2. Let a(j) = -6062*j**2 + 198*j + 2. What is a(p(w))?\nAnswer: -24248*w**4 - 396*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.1. Let v = -4.9 - z. Let d = 30 - 26. Which is the nearest to 2\/9? (a) -2 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y. Let j(z) = -z + 8. Let d be j(6). Let s = -5 - -5. Let w(u) = -d*u + 0 + s. Determine x(w(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -755 + 1456. What is the units digit of (15\/(-6) + 3)*(-1 + t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*-5)\/(-1*sqrt(128))*3.\nAnswer: 15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49672 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75) + -2 - sqrt(75))**2 - (sqrt(66)\/sqrt(2)*-3 - sqrt(33))\/sqrt(11).\nAnswer: 4*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/4200*-10)\/(-5 + 2)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-7))\/(95 + -97)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 66 = -z + 5199, -2 = d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqlq when four letters picked without replacement from {k: 2, l: 4, q: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4994 (base 10) in base 9?\nAnswer: -6758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4221 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3 + 9524756*n**2 + 47623904*n - 57148656 = 0. Calculate n.\nAnswer: -6, 1, 2381194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*x - 3*v, -2*v = 4*x - 113 + 103 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84599.2 micrograms in kilograms?\nAnswer: 0.0000845992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24864, 24951, 25096, 25299, 25560, 25879?\nAnswer: 26256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3335727 - 1?\nAnswer: 3335726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -855769 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 3*k + 2. Let m be p(-5). Let v = -13 + m. Let x = -3 + 2.8. Which is the nearest to v? (a) -1 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082 = -3*j - 4*a + 157, 4*a - 1648 = -4*j. Calculate the remainder when j is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is de282 + -2e?\nAnswer: de253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1433.3 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {g: 4, k: 7, r: 7}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.1, -0.5, -2322617\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5b01 (base 16) to base 12\nAnswer: 11595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2163*l**2 + 4374*l**2 - 2168*l**2. Let k(j) = -22*j. Give k(q(s)).\nAnswer: -946*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(12) - ((sqrt(12) - 2*sqrt(12)) + sqrt(12) + sqrt(12))) + sqrt(12) + -2*sqrt(972))\/(1*sqrt(216)*3)*1.\nAnswer: -17*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -32, -2\/15, -5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/17, 2\/9, 2, 0.4 in decreasing order.\nAnswer: 2, 0.4, 2\/9, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1909*r - 1913*r - 1905*r + 5727*r + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 30*x = 59288. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59840)\/154)\/(-136)*588\/16?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -18, 3, -63, -2, 131 in descending order.\nAnswer: 131, 3, 0, -2, -4, -18, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 43. Let z be (-40)\/3*(7 + m). Suppose -c = 6 - z. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6437 - 2837. What is g rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgogfjgijigg. What is prob of picking 1 f and 1 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -432 (base 15) to base 4\nAnswer: -32303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4632486800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**2 + 94 - 74*v**3 + 27*v**3 - v + 466*v**3 wrt v.\nAnswer: 2514*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n. Let r(j) = -286*j**2 + 6*j. Let v(f) = -4579*f**2 + 95*f. Let b(q) = 95*r(q) - 6*v(q). What is a(b(z))?\nAnswer: 1216*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -102122?\nAnswer: 102131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45651*h**3 + 1456*h**2 + 2 wrt h?\nAnswer: 273906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 2. Let m(g) = g**3 + g**2 - 4*g - 1. Suppose t - 90 = -0*t - 5*i, -3*i - 245 = -2*t. Let d = t - 117. Let x be m(d). What is v(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 + 334751975135\nAnswer: 334751975137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-10)*((-16940)\/(-28))\/121.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1 - (11 + (-1 - 5) - 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 347.1 - 345. Let d = -2 - -2. Which is the nearest to 1? (a) t (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18 + -11 - 6)*(-1 + -138). Let j = -172 - s. Is -35 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -834 - -838. Factor -m*f + 66*f**2 - 8*f**3 - 117*f**2 + 36*f + 67*f**2 - 4*f**4.\nAnswer: -4*f*(f - 2)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*r - 20 = 113*r. Suppose 18*k + r*k = 506. What is the remainder when (-518)\/(-8) + (-1)\/(-4) is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040489959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 10440220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -5, 0, 4, -188657 in decreasing order.\nAnswer: 5, 4, 0, -2, -5, -188657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7437750?\nAnswer: 2, 3, 5, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 12*d**2 + d + 13. Determine v(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/15, 10, -0.2 in descending order.\nAnswer: 10, 2\/13, -2\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4815*h**2*i**2 - 1059*h**2 - 324*h*i + 4*h - 5*i**2 - 18936 wrt i.\nAnswer: -9630*h**2*i - 324*h - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**8\/168 - m**5\/20 + 3*m**2 + 3*m. Let w(j) be the first derivative of p(j). Find the third derivative of w(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(87\/(-9) + 3). Suppose c = -c - 32. Let t = j + c. Solve 0 = -t*v - v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 5*b - 7. Let q be k(-4). Let o(y) = -51*y**2 + 5*y - q*y + 54*y**2. Let c(t) = 4*t. What is c(o(v))?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(512) + (sqrt(512) - (sqrt(512) + 1)))**2 + sqrt(512) + 4*(sqrt(512) + -1))*-4 + -1.\nAnswer: -2041 - 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 2*a**7\/3 + 83*a**6\/30 - 33*a**5\/20 - 89*a**4\/12 + 5*a**3\/6 + 3*a**2 + 17*a. Determine u so that y(u) = 0.\nAnswer: -3, -1, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/18)\/((-24)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-15))\/((-2)\/(-12)). Let b(r) = 1 + r**2 + 0*r**2 + 5*r + 0. Let c(g) = 3*g**2 + 11*g + 2. Let w(h) = -5*b(h) + 2*c(h). Give w(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35064819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/30 - l**4\/4 + l**3 - 6*l**2 + 2*l. Let k(v) = -6 + v + 8 - 3. What is g(m) + 6*k(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2505000 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -318, -369, -458, -597, -798, -1073?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806 divided by 62.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -84, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000881891 rounded to five dps?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 20. Let i be f(-5). Let l be 10*(-3)\/(-12)*-14 - i. What are the prime factors of ((-198)\/(-5))\/((-7)\/l)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2018*g**5 - g**6 - 60654272 - 4*g + 60654273 + 50*g**2 - 840*g**5 wrt g.\nAnswer: -120*g**3 + 70680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 12*n**2 - 38*n + 8. Give i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2019\/56 + -255\/7. Is -1 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -12 + (-87 - 0 - 0) + (825 - 830)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0.027, -2.4.\nAnswer: -2.4, 0.027, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + (-2*sqrt(832) - sqrt(832)))**2*-2 + -5)*5 - (2 + ((sqrt(832) - (sqrt(832) + 0))*-5 + -2*(2*sqrt(832) + sqrt(832)))**2).\nAnswer: -63259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -10 (c) -14 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/((sqrt(297)\/sqrt(9))\/sqrt(3)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.64 - 2.64. Which is the third smallest value? (a) -4 (b) o (c) 1\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 5:26 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7784475?\nAnswer: 3, 5, 271, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2280972347 greater than -2280972348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -71, 4, 2?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -294 - -3?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406145510?\nAnswer: 2, 5, 40614551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69999660 by -6.\nAnswer: -11666610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5045 - 4990. Suppose 2 = -0*g + 4*g - 2*a, g + 3*a = 11. Calculate the greatest common divisor of g and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*45\/(-36) + 38\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 4*u - 36. Find t, given that 3 - 3*t**3 + 3*t**5 + 4 - 1 - 6*t**2 - 9*t**3 + u*t = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*h + 3, -2*h + 0*h - 5*t = -27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/7))\/r*(r*r**(1\/4)*r)\/r*(r\/(r*r**(1\/2)\/r)*r*r)**(-50))**(-3) assuming r is positive.\nAnswer: r**(10371\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (433*p - 10 - 433*p - p**2)*(10 + 7 - 13).\nAnswer: -4*p**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.897553 millennia to decades.\nAnswer: 989.7553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 + 4*u + 7. Let r be h(4). Suppose r*n - 59 = 6*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -77 - 4*u - 6*u + 0*u - 158 + 55. Let v be c(-21). Solve 35*w - v*w = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212171415465 - 0.2?\nAnswer: 212171415464.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 63*a**2 + 260*a + 89. Determine f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -137, -571, -1281, -2255, -3481, -4947?\n\"Answer: 2*n**3 - 150*n**2 + 2*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/8 in -4, 1.2, -2\/5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4583565 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 + 2*a + 1. Let w be l(-1). Suppose 0 = w*s - 0*s - 0*s. Put 3, s, -15 in ascending order.\nAnswer: -15, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3156 or -3164?\nAnswer: -3164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/(-27))\/(-3*(-9)\/(-243)))\/(224\/(-140))\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4\/7 + 26980*k**3\/7 - 53948*k**2\/7 + 26972*k\/7.\nAnswer: -4*k*(k - 6743)*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - a + 17, -3*r - 4*a - a = 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -89*p - 1601. Calculate a(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7389713\/3938 - 28\/1969. Let v = i + -1918. Let m(y) = -11*y**2 - y + 2. Calculate the common denominator of v and m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3 + 8\/3*z - z**2 = 0. What is z?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 18\/81 - (-515)\/9. Suppose 64*z - u*z - 76321 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - 182 - 40 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 k when four letters picked without replacement from zkuzkukkkukukuuzuuu.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/7 - 178*q**4\/7 - 2484*q**3\/7 + 74268*q**2\/7 + 162486*q\/7 - 234090\/7 = 0. What is q?\nAnswer: -51, -3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 5 (c) 154\/27 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38559089 take away -0.3?\nAnswer: 38559089.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112332431 + 12?\nAnswer: 112332443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 415.6836 - 416. Let b = 0.25 + v. Let k = b + 0.067. Round k to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5789 - -5834. What is the least common multiple of v and 390?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*b**2 - 17 + 1 - 16 + 44 - 14 - 3*b to the form u*b + g*b**2 + c and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 32120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**6 - 100080*x**5 + 535*x**2 + 18*x - 11.\nAnswer: -120*x**3 - 6004800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2375?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/41)\/h*h)*h*h)\/h)**10\/(h**(-8\/5))**3 assuming h is positive.\nAnswer: h**(4984\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -13, 0.0608?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 57\/2*m**2 + 11 - 41*m. Differentiate j(h) wrt h.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11, -1\/6, -96, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s - 15. Let b = s + 3. Let p(x) = 3*x - 4*x**2 - 2*x - 4*x**2 + b*x**2. Determine p(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440087997?\nAnswer: 3, 31, 103, 45943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*f*r**2 - 257189*f*r + 2*f + 60852000*r**2 - r - 2 wrt f?\nAnswer: -16*r**2 - 257189*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 5, -1\/895?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -18*k - 12. Let y(i) = 6*i + 7. Let v(w) = -7*y(w) - 2*z(w). What is v(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -43\/490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13556563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -38 + 2. Find the common denominator of 113\/20 and (-1)\/6 - (-112)\/l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 547.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 9*q**2 + 11*q + 12. Let g = -8 - 2. Let s = 0 + g. Let n be o(s). Solve -n*l - y - 15 = 0, 5*l + y + 16 = -14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 3. Let l(p) = -194*p + 4. What is l(t) - z(t)?\nAnswer: -191*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 5*i + 21805, -k - 5*i = -4355. Suppose -2184 = -2*n + x - 3*x, -4*n + 4*x = -k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4374 is divided by 1124?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3129*f**2*h*l**2 - 81*f**2*l**2 - f*l - 82*h**2*l**2 + 2193*l**2 wrt h?\nAnswer: -3129*f**2*l**2 - 164*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38448 + 528*f - 38448)*(-3 + 4 - 2)*(-2 - f**3 + 2).\nAnswer: 528*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*y - 5, -2*z - 2 = -y - 1. Suppose 5*t + s = 5, -s - 4 = 4*t - 9. Let f be t\/(-1 + 2 - z). Solve -2 = -f*c + c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21096 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 0.021268\nAnswer: -0.278732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -312\nAnswer: -5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2412 (base 11) in base 2?\nAnswer: -110001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/((-90)\/(-24)))\/(-5 + 121330\/24270) is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*(-139 + -3). Let g = h - 29. Suppose 3*y - 5*y = g. Are -21 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1369 = -3*o - 10*o + 5139. Solve -o + 234 = -14*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441155 is divided by 3698.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z. Let o(h) be the second derivative of -h**5\/60 + h**3\/6 + 4*h. Let q(c) be the second derivative of o(c). Give a(q(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79 or -266?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7601*a**3 - a**2 + a + 1534 wrt a.\nAnswer: 45606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -870*k**3 + 143546*k**2\/5 - 139068*k\/5 - 128\/5 = 0. Calculate k.\nAnswer: -2\/2175, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + q)*(q + 5*q - 4*q) + (1 + 14*q + 3*q**2 - 14*q)*(1 + 1 - 4).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -451 or -6?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307829886?\nAnswer: 2, 3, 7, 13, 41, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*n + 0)*(3*n**3 + n**3 - 2*n**3) + (-3*n**3 + 2*n**3 + 2*n**3)*(n - n + 2*n))*((1 - 2 + 3)*(0 + 5 - 4) + 2 + 1 - 2 + 4 + 2 - 5).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:38 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*p*w**3 + 3*c**3*p - 4*c**2*p**2*w**2 - 6*c*p**2*w - 51760*c*w + 120447338*p**2*w**3 + p**2*w**2 wrt w?\nAnswer: 18*c**3*p + 722684028*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 8:12 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 3*i = 15*i - 95 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + ((-49)\/(-4) - (128 + -121))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 0.2 (b) -2 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -2036.\nAnswer: -9\/2036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z - 75. Suppose 0 = 2*j + 5*m - 6, z = 5*j + 3*m - 2*m. Solve 0 = a - 5*h + 18, -8 = a - j*h + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89 + 17 + 207)*(c**2 + 0*c**2 - 4*c**2) + (4*c + c - 3*c)*(3*c - 4*c - c) to the form i + t*c + n*c**2 and give n.\nAnswer: -943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 4 - 4)*(5*x - 4*x - 3*x - x - 4 + 4 + (3*x - 2*x + 0*x)*(4 - 2 + 0))*(-x - 5 + 3 - 23) to z*x**2 + m + k*x**3 + o*x and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-2*-2*2 + 0)**2 + 5*(-2 + sqrt(117)\/((sqrt(144)\/sqrt(4))\/sqrt(4))).\nAnswer: 5*sqrt(13) + 83190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.015431 >= 5580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -827 by -443.\nAnswer: 827\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 13*i**2 - 53*i + 13. Let x be v(-16). Let p = 177 - x. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1020\/240)\/((-2)\/16).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7609 - -8458?\nAnswer: 16067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31112412 and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-25)\/n**(19\/5))\/((n\/(n\/(n**22*n)))\/(n**(-2)*n)) assuming n is positive.\nAnswer: n**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 2 = -5*a - f, -5*a = -3*f + 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2343 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 = s. Let i(k) = -3*k + 1. Let n(g) = -2*g + 1. Let h(o) = -3*i(o) + 4*n(o). Calculate h(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 46*r + 79 = 0, o + 27 = r + 37 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64257*k**4 + 305*k**2 - 1959 wrt k.\nAnswer: 1542168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1027857 and 35\/2.\nAnswer: 2055714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 154409867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 3, b: 6, i: 1, k: 3}. What is prob of sequence rkrb?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(156) - sqrt(156)))\/sqrt(12) + (2*sqrt(104)*2)\/sqrt(8).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 12 (c) -5\/3 (d) -1.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61886, -61884, -61882?\nAnswer: -61880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 0*l - 1\/6*l**4 + 3*l**2 + 1\/60*l**5 + 1\/3*l**3. What is the units digit of o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-2 - -3) - (-2 - -10)) + -8 + 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -65*x**3 - 11490*x**2 - 664305*x - 12479420 = 0.\nAnswer: -67, -556\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3 - 1 + 3 + 2 - i. Let u be h(5). What is the third derivative of 11*x**u - x**2 + 6*x**5 + 4*x**5 wrt x?\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wxxwwxxwwx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-30)\/(-18))\/((-8)\/(-6))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:46 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 5. Let i be u(-6). Let t be (-37)\/2*(-2 - 0). Let x be t*(-1 - -2*i). Solve 0 = 5*m - x + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29086?\nAnswer: 2, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1873786794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2308.2 - 2308. Let z = 0.04 - -0.66. Let r = 0.4 - z. What is the closest to 0.8 in r, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(3*z - 6*z + 2*z + (-8*z - 12*z - 52*z)*(2 + 1 - 2)) + 39 + 2*z - 39.\nAnswer: 294*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -336 - -332. What is the remainder when 61 is divided by (o + 9)*(132\/(-30) - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(275\/30)*-10*(-8)\/(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.782 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 74*l - 3510. What is the highest common factor of l and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gccncncrccg. What is prob of picking 3 c and 1 r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 9*r + 9. Let l be g(-4). Which is the fourth biggest value? (a) 3\/7 (b) 0.5 (c) l (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/360 - 2*g**5\/45 - 13*g**4\/72 - g**3\/3 - 225*g**2 - 4. Solve x(f) = 0 for f.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 1. Let v(m) = -19*m**2 - 5*m - 51. Let h(n) = -v(n) + 5*w(n). Differentiate h(p) wrt p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42603965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18293597*r**3 - 16839366*r**2.\nAnswer: 109761582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/(-3)*-38. Suppose -i = -2*y + 5. Let h = -953 + 968. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1510906 and 26425.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246100056*a**4 + 313090971 wrt a?\nAnswer: -984400224*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 4*l + 7. Let q be z(4). Suppose -q*m = -8*m + 256. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3665 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595 not equal to -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5\/5 + 26*m**4\/5 - 38*m**3\/5 - 58*m**2 - 352*m\/5 - 128\/5.\nAnswer: -2*(m - 8)**2*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5 + 218*w**4 + 1652*w**3 + 3668*w**2 + 3242*w + 1010 = 0.\nAnswer: -101, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 3, x: 12}. What is prob of sequence xlss?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12433 is divided by 2069.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/25, -4, -1\/91, 2 in descending order.\nAnswer: 2, 3\/25, -1\/91, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3166178505.\nAnswer: 3, 5, 7, 23, 1311047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.16397 millennia in centuries?\nAnswer: 721.6397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**3 + 3*o**3 - 4*o - 8*o.\nAnswer: -13*o**3 - 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 45*c + 419. Determine l(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6434*o**2 - 6411*o**2 + 12702*o**2)*(-4 + 1 + 1)*(-o - 3 + 3) to the form z*o**2 + f + u*o**3 + h*o and give u.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 10*w**2 + 9*w + 9. Let i be z(-9). Let d = -3 + i. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 + 2*i**3 - 2*i**2 + 0*i - 3*i**3 + 3 + i + 6*i**3 to j + s*i**2 + r*i**3 + m*i and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*g - 1317 - 1051, 2*g - 2380 = -5*w. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 20*f - 144. Suppose a = 2*a - 21. What is the remainder when a is divided by i(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/10 and 14\/229955.\nAnswer: 459910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1181 - -1512. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030058 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -85*r + 1. Let i(c) = -936*c + 9. Let w(m) = -22*a(m) + 2*i(m). Suppose -2*q + 0*q + 14 = 0. Calculate w(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36291319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1818, 7313, 16462, 29259, 45698, 65773, 89478?\nAnswer: 116807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 341942 and -8.\nAnswer: -2735536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8346*m**2 - 429*m. Suppose 0 = 4*o + 9 + 7. Let h(n) = -78*n**2 - 4*n. Let b(v) = o*q(v) + 429*h(v). Let u(x) = -2*x. What is u(b(d))?\nAnswer: 156*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -5.1125, 2 in decreasing order.\nAnswer: 2, 2\/7, -5.1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -12050?\nAnswer: -3\/6025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442230267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2936720?\nAnswer: 2, 5, 36709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15) - 5*232\/(-300).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from vahjkwkvkjkjwkvwww.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -35*t**2 - 1865*t - 8892. Calculate l(-48).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {q: 6, z: 8, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(1\/((-16)\/(-4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 6. Let p be q(3). Factor 0*y**2 + 2*y**p + 4*y**2 - 14*y + 13 - 5.\nAnswer: 2*(y - 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/94? (a) 3\/7 (b) -1 (c) -52 (d) 0.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 + -2899\/25. Let d = 23\/50 + l. Factor -15\/4*t**3 + 1\/4*t + d - 4*t**2.\nAnswer: -(t + 1)*(3*t - 1)*(5*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 15. Suppose 71 = k*j - 29. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-24)\/(-3) + (-48)\/16. Which is the closest to 0.1? (a) 0.4 (b) u (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -4*r - 14. Solve 0*t - r*t - 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(30\/(-525)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 44)*(-1)\/4. Suppose 0 = 5*n - g + 6. Suppose 2*t = t - 4*k + 5, 0 = -4*t + 5*k - n. Solve t = -x - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 7*j + 12. What is the units digit of p(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 19.\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3732051?\nAnswer: 3, 101, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 4, -2554.1, 0.03, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12205 (base 6) in base 10?\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 8*n**2 - 14*n + 9. Calculate i(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-156)\/8 - -1. Let r = a + 138. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -144, -136, -124, -108?\n\"Answer: 2*l**2 + 2*l - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 88*l + 29. Let w be f(-29). Calculate the greatest common factor of w and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 1267?\nAnswer: 760.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81089545 and -3.\nAnswer: 243268635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u. Let c be (-2 - -8)*-2*4\/(-3). Suppose -x = -u*x - c. What is the remainder when 45 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 3\/8*c**4 + 2\/35*c**7 - 1\/20*c**6 - 1\/5*c**5 + 0 - 15*c**2 + 0*c - 1\/112*c**8 + 0*c**3. Solve s(q) = 0 for q.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*n - 19 = 0, 47 = 2*k + n - 0*n. Is k smaller than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 21 - 5*j - 2 - 14*j + j**2. Let g(t) = t**2 + 25*t + 154. Let f be g(-8). Let v be z(f). Let k(y) = 6*y - 1. Give k(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -l + 30, 3*h - 13 + 53 = 5*l. Suppose 2*f = -4*n, -23*n + 18*n - 15 = 5*f. What is the third smallest value in f, -1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 60. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (18 - 1) + -11 + -19 + 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l*p**4 - 2*l - 8*p**6 - 4*p**3 + 106*p**2 wrt p.\nAnswer: -48*l*p - 960*p**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25464.\nAnswer: 2, 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40903 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*n - n. Let q(h) = 3*h**2 + 1. What are the prime factors of q(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*q + 108, -q = 4*q - 5*y - 165. Suppose 3*c + 4*d - q = 0, 5*d + 5 = 4*c - 4. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4 - 1. Suppose -4 = a*z - 0*z - 5*o, 1 = -2*z + 3*o. What is the least common multiple of z and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:15 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284 and 71?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 + -11.23. Let y = 11 - v. Let d = -22 + y. Which is the nearest to d? (a) -3 (b) -2\/15 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384, -754, -1088, -1380, -1624, -1814?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2 + 5 + 0*z - 2*z. Suppose 0 = j + 3 - 8. Let h = 7 - j. Calculate q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9) - (-688)\/6. Let o be 3\/(-1) - g\/(-6). Solve 3*m - 10 = -2*m - 5*w, -2*w + o = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37026 - -10774. Is (1*u\/(-12))\/(10\/30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 0*w**2 + w**2 + 2*w**5 + (w - 2 + 2)*(0 + 0 - w**4).\nAnswer: w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 335213 divided by -43\nAnswer: -335213\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/103 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -922961 + -10\nAnswer: -922971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -122\/3, 1\/10, -14?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 + 0*a**2 + 4*a**2)*(a - a + a)*(-2*a - 2*a + 6*a)*(8 - 7 + 1) to the form f*a**3 + d + z*a + t*a**2 + k*a**4 and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 19*a - 45. Let y be c(3). Let p be 8 + -2 + y - 15\/3. Solve -4*m + p*b + 36 = 0, -31 = -5*m - b - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 + 9 + -4 - 15) - 43\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/43)\/i**19)\/(i**(-1\/2))**(2\/7))**27 assuming i is positive.\nAnswer: i**(-153441\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/2)\/m))**(2\/9))**(16\/11) assuming m is positive.\nAnswer: m**(16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 1, u: 9}. What is prob of sequence nu?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**4 + 25820*f**3 - 51656*f**2 = 0?\nAnswer: -6457, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + 2 + sqrt(1584) + 0)**2.\nAnswer: 144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -19*x. Let n(s) = -524*s**2. Give t(n(c)).\nAnswer: 9956*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:15 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359160393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -r - 2*h + 5, 5*r + h = -18. What is the units digit of (-1)\/((-1)\/151)*(-3)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1523*q**2 + 333*q.\nAnswer: 3046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ermhvfv. Give prob of picking 1 r and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171046702 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/a**(1\/3)*a*a**(1\/3)*a**(1\/6)*(((a**(1\/3)\/a)\/a*a*a)**(4\/21))**(3\/28) assuming a is positive.\nAnswer: a**(213\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -915, -916, -917?\n\"Answer: -z - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -38, -9, 22, 55?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 51544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(847) - (sqrt(847) + sqrt(847)*3)) - (sqrt(7) + sqrt(7) + 0 + 4))**2 + -1 + sqrt(28) + ((sqrt(63) - sqrt(7) - sqrt(7))*1)**2.\nAnswer: 274*sqrt(7) + 8114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (28 - 28) + (-933068)\/(-10) + 1\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(48))**2 + 5 + sqrt(3)*-1 + -3*(((sqrt(24) + (sqrt(24) - sqrt(1536)))\/sqrt(8))**2 + sqrt(3))*-5.\nAnswer: 14*sqrt(3) + 1822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*r**3 - 5379*r + 8*r**3 - 2*r**4 - 904*r + 2*r**2 - 7*r**3 wrt r.\nAnswer: -24*r**2 + 72*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 635*c**5 - 2*c**4*k + 148104*c**3*k - 13*c**2*k + 11*c**2 - 21*c*k - 33 wrt c?\nAnswer: 38100*c**2 - 48*c*k + 888624*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -1\/2*c**3 + 2*c - c**2 + 0. Calculate z(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22242 - -35503. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.809071 hours to days.\nAnswer: 1.117044625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 3 - 87\/(-6). Let a(y) = -y**2 + 37*y - 220. Let b be a(29). Is b not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23447355 - 7399355. Round r to the nearest 100000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(-28\/3)\/((v**(-1)\/v)\/(v\/(v\/(v**1*v)*v*v))))\/((v\/v**(2\/5))\/v*v**4*v**(-4)\/v**(3\/5)) assuming v is positive.\nAnswer: v**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyky when four letters picked without replacement from {r: 5, m: 1, k: 5, y: 3, n: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 151*b**2 - 16904*b - 79. Give h(-54).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -0.971?\nAnswer: 1.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7893.445nm in micrometers?\nAnswer: 7.893445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**12\/i)\/(i\/i**10))**(-5)\/((i*i*i**(-2)*i*i*(i*i*i**0*i*i)\/i*i*i)\/(i**(-2\/3)\/i*i*(i*i*i**(4\/5))\/i)) assuming i is positive.\nAnswer: i**(-1588\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = -3*o, 2*o - 2*y = -0*y + 4. Suppose 4*f + 4*d - 20 = 0, -3*d - 5 = -f - f. Suppose 2*r = f*z + z - 17, o*r + 7 = z. Solve -5*a + z = -7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 16*x**2 - 21*x - 44. What is the units digit of w(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18394 + 13*m**2 - 18292 + 36692.\nAnswer: 13*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 - 161*s - 4. Let n(d) = -9*d**3 + 323*d + 7. Determine 4*n(u) + 7*z(u).\nAnswer: -u**3 + 165*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10\/(i**(-6\/11)\/i))**(7\/3) assuming i is positive.\nAnswer: i**(889\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000769606 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 116*l + 869. Let h be q(-8). Solve -h*s + 8 = 3*z, 3*z + 4*s = 6*s + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -2131331444?\nAnswer: -2131331443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + -3.03. Let m = i - -1. Let b = 10 - 10.1. What is the second biggest value in b, 5, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49852057 - -4?\nAnswer: -49852053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -683, -1569, -2821, -4445, -6447, -8833?\nAnswer: -11609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Let p = i + -2. Let n = -3.7 + -0.3. What is the third biggest value in p, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 9*j - 76 = 12*a, 110 - 118 = -a + a - 2*j + 3*j for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Suppose 25 = 4*i - 27. Let f(p) = -i*p + 185 - 90 - 96. What is f(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 11*p - 10. Let y be t(12). Solve 5*h + 7 = y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 26. Suppose 0 - 5 = -q, 0 = 2*w + 4*q - 54. What is the remainder when 22 is divided by h(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + b - 25 = 0, 0 = -3*c - c + b + 41. Suppose -1939 + 8363 = c*t. What are the prime factors of t?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 38, 4\/3?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1254, 4989, 11198, 19875, 31014, 44609, 60654, 79143?\n\"Answer: -d**3 + 1243*d**2 + 13*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q + 9*q + q - 27*q + 3*q + q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 27 + (-3 + 1 + 1)*(3 - 3 + 1))*(-6 + 3 + 2)*(9*t + 0*t - 13*t).\nAnswer: 96*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 21*g + 13. Let w be t(-10). Let m = -164\/105 - -17\/15. What is the common denominator of m and 135\/36 - 8\/(-6)*w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, 12, -13, -2\/61 in descending order.\nAnswer: 12, 5, -2\/61, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-110)\/33*-1*2484?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -915 - -2186. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551086 is divided by 349.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 2130310?\nAnswer: -2130301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7152 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: Let t be ((-3)\/(-6))\/(260\/5720). What is the greatest common divisor of 17083 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 7*x - 27. Give k(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5295*r**4 + 5289*r**4 - 57*r - 1 - 42*r)*(-1 + 1 + 3).\nAnswer: -18*r**4 - 297*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.8, 7\/15, 79309?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 596810257 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*p + 2*k - 10, -4*p + 2*k = -12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42697 - -42696.17662. What is u rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 + 1944*u**2 + 11571*u + 9630 = 0. Calculate u.\nAnswer: -642, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28155 - 506657\/18. Let p = -6343\/15 - -420. Calculate the common denominator of p and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -67160, -270148, -608462, -1082102, -1691068, -2435360, -3314978?\n\"Answer: -67663*h**2 + h + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9897, 9394, 8563, 7410, 5941?\n\"Answer: w**3 - 170*w**2 + 10066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/265447 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21644 and 654?\nAnswer: 7077588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:05 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 7*w**5\/20 - w**2 + 9*w. Find the first derivative of q(l) wrt l.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*4\/(-1). Suppose 2*i = -10, -4*a + 4*i + 76 = -o*a. Suppose -a = -5*d + 17. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 2*v**2 - v + 1. Let j be o(-2). Suppose 2*t - 64 = -2*p - 0*p, 98 = j*t + p. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 2*r + 50830 = -16*k, 2*k - 4*r = 25410. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**2 - o + 19. Let b(m) = 23*m**2 - 2*m + 35. Determine 6*b(h) - 11*x(h).\nAnswer: 6*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 5*y - 3. Let a(b) = 6*b - 3. Let v be a(4). Let i be 6\/v + 80\/14. Give q(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/4)\/j)*j)**(-4\/5)*(((j\/(j\/(j**(-2\/21)\/j)*j*j*j)*j)\/j)\/j)**(-1\/11) assuming j is positive.\nAnswer: j**(-2006\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -79\/10 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 1 - 4)*(30 + 10 + 2*d**2 + 45 - 28).\nAnswer: 120*d**2 + 3420","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 418, 417, 416, 415, 414, 413?\n\"Answer: -k + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 6. What is the remainder when 1296\/38 + (-2)\/19 is divided by n(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1619.5 + 1619. Let z = -3 + -2. Which is the third biggest value? (a) k (b) z (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 0, k + 2 = 2*p - 2. Suppose -3 = -3*d + k*m, 4*d - 3*d + m - 1 = 0. Is d + (-1)\/(3\/(-102)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmem when four letters picked without replacement from eeeeeeeeeememmeeeeee?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -669 or -111874\/167?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 25 = a, -3*a + 20 = -2*a + 3*d. Suppose -4*w + a*f - 2 + 25 = 0, 15 = -5*f. Suppose 5*j - k - 5 = -0, 4*j - 2*k = -w. Solve -j - 2 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273479661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51330 and 5594970?\nAnswer: 5594970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*m**4 - 9 - 47*m**4 - 9 + (4*m - m**3 - 4*m)*(-4*m + m + m).\nAnswer: 4*m**4 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 6*a - 5. Let s be w(6). Let y be (-12)\/s + (-4)\/10. Find the second derivative of 2*u + 2*u**4 + y*u**4 - 6*u**4 wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.7 - 58.7. Let h = -3 + 2.6. Let r = 0.1 + h. Put 0.4, m, r in decreasing order.\nAnswer: 0.4, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**4\/a)\/a)**(-2\/23))**(2\/17) assuming a is positive.\nAnswer: a**(-8\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times -4\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107947024*q*y**2 + 672060*q*y + q wrt y?\nAnswer: 215894048*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 = -2*z. Let w be (7 - (4 + -4)) + z. What is the highest common factor of 78 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 7*c + 1. Let t(u) = -5*u. Let r be t(-1). Is 11 a factor of n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 + 3 = 0. Suppose 0 = -2*c + 4*h + 84, -c - 5*h + t*h = -38. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 2. Let d(y) = 2*y + 1 - 6*y + 2*y. Suppose -9 = -2*j + 5*l, -5*l + 3*l = -5*j + 12. Suppose 3 = -j*p - 3. What is p*c(o) + 8*d(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/(-12) + (-3)\/4. Let u = -4 + 7. Let k be u\/9 + -1 + o. Sort -0.3, 5, k in descending order.\nAnswer: 5, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -1.03177.\nAnswer: -0.03177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(1728) + -5 + -2)**2.\nAnswer: -192*sqrt(3) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x**2 + 5*x - 4. Let k(m) = 15*m**2 + 9*m - 7. Let r be (161\/(-14) + 8)*-2. Determine r*q(a) - 4*k(a).\nAnswer: -4*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 4. Let l be g(2). Let m be (2*9\/4)\/(l\/(-8)). Suppose 311 = m*y - 103. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9274372.\nAnswer: 2, 2318593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, 0, -1, 2, -46.\nAnswer: -46, -1, 0, 2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1554938 and 230.\nAnswer: 7774690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -5. Let i(c) = -c**2 - 10*c + 8. Let t be i(r). Suppose 0 = -0*a + a - 72. Calculate the greatest common divisor of t and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 17*t - 165 = 0. What is the remainder when t is divided by (-23)\/(-4) - (-2)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 945, 1891, 2837, 3783, 4729?\n\"Answer: 946*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4262, 3688, 3114, 2540, 1966, 1392?\n\"Answer: -574*o + 4836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m + 31. Let r = 7152 - 7158. Let o(t) = -2*t - 15. Determine r*i(z) - 13*o(z).\nAnswer: 2*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35554 + 35550. Let j be (-29)\/(-5) + 1 + -3. Which is the nearest to 0.2? (a) 1\/5 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + sqrt(320))*5 - (5 + sqrt(180)))*1.\nAnswer: 9 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/(-16))\/1)\/((-22)\/(26752\/(-48)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34228.93cm to meters.\nAnswer: 342.2893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (58*n**2 + 134*n**2 - 142*n**2)*(n**2 - n**2 + n**2 + 2) as i*n**4 + y + p*n**3 + b*n + j*n**2 and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 276615?\nAnswer: 276615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000164935145 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -1211*v**6\/120 + v**5\/60 + 3133*v**3\/6 - 94*v**2 - 9*v. Find the first derivative of h(j) wrt j.\nAnswer: -3633*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 23*f**2 - 19*f - 65. Let k be i(22). Let q = -7 - -20. Calculate the remainder when 25 is divided by (q\/(-26))\/(k\/(-1 + -27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27244 by -98.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 225.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 172. Let h(q) = -q**3 - 14*q**2 + 77*q + 993. Let n be h(-17). Calculate the greatest common factor of y and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 37*p - 2)*(-8*p - 2*p - p)*(-1 - 12 + 6 - 2) to d*p**2 + u + r*p and give r.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 5.15\nAnswer: -1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w + 4*u, -5*u + 52 = 4*w. Suppose 6*l = -w*l + 42. Solve l*k - k - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 1. Let f(u) be the third derivative of u**5\/30 + u**3\/6 + 9*u**2. Let c(r) = -2*f(r) + 6*t(r). What is the first derivative of c(o) wrt o?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.246 - 1.146. Let x = 80 - t. What is the closest to 1 in 0.1, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*w - 47. Let s(g) = -5 - 8 - w*g + 13*g. Let i be s(-4). What is the highest common factor of i and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose f = -2*f - p. Let n(c) = -5*c. Let r be n(-1). Put -4, f, r in descending order.\nAnswer: r, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2. Let g(q) be the first derivative of q**5\/30 - 6*q**2 - 7. Let o(t) be the second derivative of g(t). Determine w(o(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.5, -6, -0.1?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - w = 4*c - 56, -5*c + 5*w + 60 = 0. Suppose 5*d - 2*r - c - 6 = 0, d - 2*r = 3. Calculate the lowest common multiple of 34\/3 - (-3)\/(-9) and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y - 2*y + y + 5*y. Let h(f) = 3*f. Calculate l(h(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7833 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 12 = 0, -2*z = 3*l + 544. Let q = 239 + -241. List the prime factors of l\/(-16) - 3\/q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(628\/1494 - ((-4632)\/(-216) + -21))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92840273, -185680549, -278520825, -371361101, -464201377, -557041653?\nAnswer: -649881929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 3*h - 2*h + 111 - 7 - 14*h. Let b be q(9). Solve 5*v + 1 = -b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 6097?\nAnswer: 3048.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/5)\/4 - (-1261)\/(-195). Let x(n) be the third derivative of n**6\/120 + n**5\/12 + n**4\/24 + 3*n**2. Let j be x(-5). Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1. Let b(a) = 2*a + 8. Let m(z) = b(z) + 8*h(z). Let l(q) = -83*q - 1. What is l(m(j))?\nAnswer: -166*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 8*l - 13. Let a be f(-7). Is (-16)\/6 + 3 + (-460)\/a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134325425 to the power of 1\/2, to the nearest integer?\nAnswer: 46199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -15)*(-1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 2*m - 1. Let z be l(-2). Let x(b) = b - 8 + 0 + 2 + z. Determine x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.1 (c) -0.03 (d) -5 (e) 189 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, -3240, 0.025?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 269809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163296954.6 rounded to the nearest 10000?\nAnswer: 1163300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) + -4*(sqrt(77)*2 - sqrt(77))))\/(sqrt(84)\/((-1*sqrt(144))\/sqrt(12))) + 2.\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.39265 grams in micrograms?\nAnswer: 85392650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13280 divided by -166\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (245\/((-30380)\/(-26536)))\/(-8)\nAnswer: -107\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53456866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/836 and -61\/2508?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Suppose -4*a + 13 + 3 = 0. Let h = a + b. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**3 - t**4 + 7*t**3 - 1611*t**4 + 137*t - 2 + 1608*t**4 + 4*t**2 - 5*t**2 + (-2 + 4 - 3)*(-t**3 + 2*t**4 + t**3).\nAnswer: -6*t**4 - t**2 + 137*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.28073779 rounded to 3 decimal places?\nAnswer: 15.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 2. Let m be a(0). Suppose -2*z + 4*f = 170, z - 4*f + 255 = -m*z. Let c = -61 - z. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 0 - (19 + 59 + -48)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 76.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 43 - 4. Let s(m) = m**2 + 11*m - 2. What are the prime factors of s(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*-5 + sqrt(95) + sqrt(95) + sqrt(95) - (sqrt(95)*-1 + sqrt(95))*3)\/(-5*sqrt(245)*-1 - sqrt(245))*-3*4.\nAnswer: 6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/r**(-2\/9))\/r*r*r**(-3))**(-20\/7) assuming r is positive.\nAnswer: r**(-40\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 15 = o. Let g(i) = -6*i**2 + 8*i + 13. Let f(k) = 7*k**2 - 7*k - 14. Let q(b) = -5*f(b) - 6*g(b). List the prime factors of q(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -106*l + 322. Let z be h(3). Sort -2, z, -382.\nAnswer: -382, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 10. Suppose 2*h - 5 - 9 = 0. Let p be z(h). Find the second derivative of -5*s + 0*s - 7*s**4 + 15*s**p wrt s.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.18 + -0.18. Let i = d + -6.8. Let b be (-6)\/(-28) - (54\/(-12) + 5). Is i < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 3*d - 18. Let j(u) = -10*u**2 - 14*u - 84. Let v(y) = 3*j(y) - 14*t(y). Let q(s) = 584*s**2 - s. Give q(v(i)).\nAnswer: 2336*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*(sqrt(500) - (sqrt(500) + 2 + sqrt(500))) + sqrt(500)*-1 + 3)*3 + 0)**2.\nAnswer: 10560*sqrt(5) + 73936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, c: 1, n: 1, g: 8, h: 1}. Give prob of picking 1 g, 2 v, and 1 h.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**2 + 0*v**2 + 112 - 156 + 44.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 7*h + 4*l + 2, h = l + 2. Let u be (-6)\/3*(-3)\/h - 5. Let d be u\/20 - (-21)\/(-45). Put -6\/11, d, -0.7 in ascending order.\nAnswer: -0.7, d, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32049 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 divided by 76092?\nAnswer: -41\/12682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22774560 a multiple of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0424 < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from {g: 4, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)*-2)\/sqrt(5))**2 + sqrt(6)\/sqrt(2)*-6.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -26 (b) 3\/4 (c) 0.3 (d) -20 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 22*l + 8. Let m(q) = -3*q + 10. Give m(v(b)).\nAnswer: -66*b - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 4*l + 2*l)*(-11 + 2 + 14) in the form f + m*l and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21, 10, -7, -30, -59, -94?\n\"Answer: -3*m**2 - 2*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 23*m = -144. Let i(k) = k**3 - 9*k**2 - 11*k + 10. Let q be i(10). Suppose -4*l + 61 + 11 = q. What is the greatest common divisor of m and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*b**5 - 16*b**4 - 47*b.\nAnswer: 540*b**3 - 192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12141 - 3?\nAnswer: 12133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f + 55. Suppose 0*t - 28 = -4*y - 4*t, 2*y - t = f. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j - 21. Let v be k(-5). Is v bigger than -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782689917?\nAnswer: 10589, 168353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 8\/7, 4, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-51) + 2550\/(-15606). Let v = 2 - 7. Put 1\/6, 1, f, v in increasing order.\nAnswer: v, f, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + 4*q)*(q - 4*q + 2*q - 4*q + 5*q + 0*q + (3 - 4 - 1)*(-6*q + 4*q + 0*q) + q - 3*q + 3*q + 4 + q - 4 - 5 + 5 + q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848 and 52381543?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 30 = y. Let w(v) = -19*v**2 + 230*v - 6. Calculate the remainder when w(12) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5*(-1825)\/(-5). Suppose g = 6*b - 1084. Is 41 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 - 2*j + 7. Suppose q - 4*q = 0. Let n be l(q). Suppose -z + 7 = -n. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -938 - -744. What is the closest to -1\/4 in o, 3, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)*(x\/(x*x**(-5)*x)*x)\/x)\/((x*x\/(x\/(x**(6\/7)*x))*x)\/(x**(-13)\/x)) assuming x is positive.\nAnswer: x**(-1081\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 2*r**2 + 55*r - 18. Calculate w(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 10861376.\nAnswer: 32584128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375 - 180 + 391 - 103 + g**2.\nAnswer: g**2 + 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.012 - -1.012. Are 0.5 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3 - 2535 - 326*k**2 + 6*k**3 + k + 2849 - k**3 wrt k.\nAnswer: 12*k - 652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159997348 to the nearest integer?\nAnswer: 12649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1294043?\nAnswer: 517617.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:58 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4*((-11 - -7) + 2). What is the tens digit of c*(-4 - (3 + 393))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 + 51*b**2 - 5. Let l(v) = v**3 - 1. Give 5*l(q) - n(q).\nAnswer: 2*q**3 - 51*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 d when three letters picked without replacement from fddedeq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 33 = -27. Solve -4*z + 17 = b, -b + z - 18 = -j*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) 1 (c) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -648.1296 + 0.1296. Let v = 650.4 + n. What is the smallest value in v, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-20) + 24\/10. Suppose y*p = p + 331. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccwwcc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 30*p + 30. Let m(x) be the second derivative of x**5\/20 - x**3\/6 - x**2\/2 - 248*x - 2. What is 30*m(i) + n(i)?\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/16 + 6\/(96\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.093867 and 2529.\nAnswer: 2529.093867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1693 + 1698. Let r = 7 - 3. Is r bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 3:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.134 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1827 > 146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 97*y**2 - 8*y - 4. Let d be q(6). Suppose -5*j + 3*h + d = 0, 3*j + 0*h + 4*h = 2093. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let o = 0 + -4. Let g = -0.1 - -0.1. Which is the third biggest value? (a) d (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 5*l)*(-6 - 3 + 32)*(-2 - 1 + 1) to u + c*l and give c.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5787*f - 5*x = 5792*f - 55, 47*f - 3*x - 517 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -661 by 13493.\nAnswer: -661\/13493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000730124832 rounded to 5 decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/1620 - (-2604477)\/81 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46112 is divided by 745.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 92.55752ug?\nAnswer: 92557.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -28. Let z = 3 + b. Suppose -a + z = 4*a. Calculate the remainder when 4 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Let r be ((-298680)\/2358)\/((-5)\/(-3)). Sort 3, r, a in decreasing order.\nAnswer: 3, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.88927323368 and -19.\nAnswer: -19.88927323368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-71448318)\/(-7290) + 2\/(-15)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4 + 68. Find the common denominator of 2*1 - (-81)\/a and -57\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkm when four letters picked without replacement from {k: 1, m: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/54540 and -43\/3105.\nAnswer: 1254420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2838 = -17*c - 5*c. Let r = -115 + c. Calculate the highest common factor of r and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w - w)*(12*w**4 + 15*w**4 + 19*w**4) - 3*w**5 + 2*w**5 + 2*w**5.\nAnswer: -137*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5549, -4387, -3219, -2045, -865, 321?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41550 and 83100.\nAnswer: 83100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9109.275 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {g: 2, o: 10, e: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5748)\/(-6) + (-2)\/(-2). Let u = 11751\/8 - b. Let m = u - 511. What is the common denominator of -31\/12 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 409. Let z(u) = -2*u + 268. Determine b(z(m)).\nAnswer: -8*m**2 + 2144*m - 144057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 4, x: 6}. What is prob of sequence xxyx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/107, 3, -630?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - 5*h)*(-7*h**3 + h**3 - 35*h**3).\nAnswer: 82*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 18. Suppose -3*z - r = -171. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 2*s**3 - s**3 + s**3 + 0*s**3 - 4*s**3 + (-s**2 + 0*s**2 + 3*s**2)*(s + 4 - 4).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -7*r + 12. Suppose -r*b + 181 = 2*z, -2*b + 3*z - z = -124. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 1:43 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m. Let p = m + 4. What is the remainder when p\/14 - (-33)\/7 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7356 - -7356.6. Which is the third biggest value? (a) 17 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -53601*w + 5. Let g be ((-4)\/6)\/((-4)\/30). Let u be y(g). Round u to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - i**3 + i**3 + (0*i + 5*i - 3*i)*(4*i**2 - 5*i**2 - 4*i**2).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*q**2*z**2 + 3*q**2 - 31*q - 10*z**2 + 1 wrt z.\nAnswer: 472*q**2*z - 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 48. Calculate the remainder when ((-126)\/27)\/((-1)\/6) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*f + 3*f. Let a(m) = 4*m + 5. List the prime factors of a(f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -384 (b) 3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131842*h**2 + 225963.\nAnswer: 263684*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scmsmgssscss. Give prob of picking 1 c, 2 s, and 1 g.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11234364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -866?\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(1*2\/7). Calculate the smallest common multiple of ((-20)\/3)\/(14\/d) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 292*n**2 + 576*n - 286.\nAnswer: 2*(n - 11)*(n - 1)**2*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17470 is divided by 182?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42958495?\nAnswer: 5, 173, 49663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by (-2)\/(-4) + 40\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(130)*2 - ((sqrt(130) - 2*sqrt(130))*4 - sqrt(130)))*-6)\/(-1*sqrt(90)*3*4).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98246 or -98229?\nAnswer: -98246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10)*-1*5. Let r = -6.3 - -6. Which is the closest to d? (a) -0.1 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 510373*c + 279486.\nAnswer: 510373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68150707.4 and -3.\nAnswer: 204452122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j**3 - 3. Let v be y(-2). Let l = v - 123. Solve -4*q + l*q - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from ccrcwgzazcgwc.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12 + 4*l + 0 - 3 + 3 + l**2. Let o be m(-12). What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 136613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.09+137\nAnswer: 135.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/140?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 703, 944, 1185, 1426, 1667?\n\"Answer: 241*q + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/(-30) + 16\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(2\/5)))**(1\/34)*(r**(-2\/5))**(-2\/19)*(r**(-1))**(3\/28)*r**(-2\/13)\/(r\/r**(3\/2)) assuming r is positive.\nAnswer: r**(172173\/587860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -4*f**2 - 54*f - 1037. Let z(c) = -2*c. Give l(z(v)).\nAnswer: 16*v - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*h - 1026 + 4470 = -115*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/2580*86 - 10\/(152\/(-60)*-1).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20034868 or -20034869?\nAnswer: -20034869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**8\/560 + h**7\/280 + 55*h**3\/6 - 5*h**2 + 4. Let v(f) be the first derivative of k(f). Factor v(j).\nAnswer: -3*j**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758705 to the power of 1\/2, to the nearest integer?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a3142 (base 14) to base 12\nAnswer: 16b286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3)*(2*d + 2*d - 5*d)*(-11 - 145 + 26*d - 27*d).\nAnswer: -4*d**2 - 624*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*l + 35 - 5*l**2 + 34 - 69 - 3*l**2 to the form q*l**2 + m*l + h and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1205 + 1207. Solve -4*n - 4*p + 12 = 0, -14 = 3*n - 6*n + z*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4881466420 rounded to the nearest one million?\nAnswer: -4881000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 992*t - 491*t - 498*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333 (base 12) in base 3?\nAnswer: -12101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146228 to the power of 1\/2, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 8. Suppose 0 = -2*c + 5*s - 10, -2*s - 5 = c - 9. Let m be p(c). Solve 0 = -m*h + 10*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12382 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -315.397 - -315. Let o = f - 0.013. Let p = o - -0.4022. Round p to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 5, m: 1, y: 1, c: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = a - 27, -2*q + 121 = 2*a + 61. Let u = 41 - 14. Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9 - (-57)\/(-9). Let s be 1*(r + (-2 - -2)). Which is smaller: s or -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9032 + 115*m + 9032)*(1 - 4 + 1).\nAnswer: -230*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 87646277, 87646278, 87646279?\n\"Answer: u + 87646276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -v, -3*v = s + 2 + 1. Let y = -12224 - -244543\/20. What is the common denominator of y and 1 + (-142)\/(-24) - s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 555944.7cm?\nAnswer: 5559447000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1 (c) 71182 (d) 0 (e) 0.08 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8993577*v**3 + 9783890*v?\nAnswer: -53961462*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(2 + -5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7644, 7872, 8270, 8838?\n\"Answer: 85*i**2 - 27*i + 7586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2857 - 2855. Let 0 - 3\/8*i + 3\/8*i**k = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -12. Let n(a) = a**2 + 2*a + 7. Calculate the least common multiple of n(-3) and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(468) + 5.\nAnswer: 5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7866 by -3654.\nAnswer: -437\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -25*c**3 + 3*c + 4. Let a be s(-4). Suppose 3*k + a = 4*k. List the prime factors of k\/44 + 4\/(-22).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.2, 49\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44427*w**3 + w**2 - 348478*w wrt w.\nAnswer: -266562*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(3*r + r**2 - 3*r) - 2*r**2 - 2*r**2 + 0*r**2 + 0 + 3 + 2*r**2 - 1.\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -3, 0.06, 5\/337, 1\/32, 0.1, 1?\nAnswer: 5\/337","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392246, -392245, -392244?\nAnswer: -392243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4343*u + 4320*u + 1104 = 0. Solve -u*z + 168 = -27*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -97042\nAnswer: -51\/97042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*u + 41156 + 17383, -4*z - 5*u = 46809. Let w = z + 257445\/22. What is the common denominator of -69\/20 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 863084*(77\/28 - 4). Let f = r + 1922855. What is f rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.1 less than -593.59?\nAnswer: -649.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 33*z**2 - 31*z - 92. Give t(34).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c. Let f(q) = 8*q + 54367. Calculate p(f(n)).\nAnswer: -104*n - 706771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 1490 - 266. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -119 - 58. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11623*b - 15083*b - 15617*b + 50705*b.\nAnswer: 8382*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Let q be d(3). Suppose 0 = -q*r - 3*r. Suppose -4*z - 5*c + 251 = r, -148 = 4*z - 6*z + 2*c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1418 - 538. Let p = c - 100. Is 39 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:08 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1500\/(-21) + (-15)\/(-35) + -4. Let z be (6\/(-10)*18)\/(15\/g). Let s = 36 + z. Round s to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 = -2*z, -10*b + 37 = 11*z - 6*b. Solve z*j + 7*t = 10*t + 15, 0 = 2*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -1 + (-27)\/7. Let z(o) be the second derivative of 1\/3*o**6 - 2*o + 1\/10*o**5 + 2\/3*o**3 + 0*o**2 - t*o**7 + 0 - 5\/6*o**4. Solve z(v) = 0 for v.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab5 (base 15) to base 7.\nAnswer: -22616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -21.6. Let h = p + 6.3. What is the fourth smallest value in h, -7\/3, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/4 + -3 - 22*28. Let k be v\/1243 + 78\/143. Is -1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7521*r**5*y + 5*r**4*y**2 + 304*r*y**2 + 2*y**2 + 10 wrt r?\nAnswer: 150420*r**3*y + 60*r**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 79*m - 33 - 2*m**2.\nAnswer: -2*m**2 + 79*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123 and 2226.\nAnswer: 91266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159548 - 1156897.\nAnswer: -997349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o + 16 + 2*o**2 + 10 + 28*o - o**2. Let u be p(-13). Which is the second smallest value? (a) u (b) 2 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, 5, -39, -0.5, -5\/6 in increasing order.\nAnswer: -39, -1, -5\/6, -0.5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(170)*5 - sqrt(170))\/((sqrt(110)\/sqrt(11) + sqrt(10))*-6).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79.3, -2\/5, -88.\nAnswer: -88, -79.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-1) - (-130)\/182*7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16216273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120762855 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 64*z = -73*z + 21, -2*z + 13 = a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -180*m**2. Let i(j) be the second derivative of -j**4\/3 - 1026*j. Give c(i(b)).\nAnswer: -2880*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*m = 20, -3 = -2*y + 4*m + 3. Let x = -6315 - -6327. Suppose y*b = x*b - 434. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 + -110. Suppose a + 6 = 24. Suppose -12 = -7*b + 4*b, 5*b = 2*d - a. What is the remainder when l is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 24. Let r = i - -34. What is the remainder when 65 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 21*v + 61 + 46.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1084\/(-28) + 2\/(-7). Suppose 75 = -11*c + 16*c. Let i = c - m. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p + 8. Let w be j(6). Let q(v) = -v**3 - 7*v**2 - v + 3. Let g be q(-6). Let o = w - g. Which is bigger: 1\/3 or o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*t - 19. Suppose 4*v - 34 = t. Solve -3*z - 2*z + 4*p + 20 = 0, 2*p + v = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*f**4 - 22*f**4 + f**4 + (1 - 1 - 2*f)*(f**3 + 0*f**3 - 2*f**3) + 6*f**4 - 2*f**4 - 2*f**4 + 0*f**3 + 0*f**3 + f**4.\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, -50, -103, -156, -209, -262?\n\"Answer: -53*k + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 107\nAnswer: -85.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/441?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovov. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*y + 25, 4*y - 10 = x + y. Let h be (2\/x)\/(52\/(-60)). Do h and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2545, -11453, -26301, -47089?\n\"Answer: -2970*t**2 + 2*t + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200) + -1*sqrt(2200) - sqrt(2200))\/((2*sqrt(16))\/sqrt(8)) + -3)**2.\nAnswer: 30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(-5 + sqrt(6)\/sqrt(2)).\nAnswer: -30 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 819 or 77061\/94?\nAnswer: 819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p. Let z(n) = -23 - 4*n + 0 + 4. Suppose 26*u + 249 = -27*u + 37. Let y be z(u). Let o(m) = -9*m + 1. Give y*o(w) - 5*l(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**2. Suppose -5*j - 3*h = 36, 5*h + 5 + 35 = -5*j. Let m be (2\/j)\/(9\/(-27)). Is n(m) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 154817 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:45 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3427 = -3462 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*sqrt(18)*-3 + -3.\nAnswer: -3 + 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 8180*z + 480375.\nAnswer: 5*(z + 61)*(z + 1575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 12e?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 521425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d - 2 + 12 - 15 with respect to d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:17 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-3 + 0) - -35 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10be4b (base 15) in base 13?\nAnswer: -220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n - 9*n - 56 + 14 - 204 - 11*n. What is the lowest common multiple of 16 and y(-10)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -19)*3391\/5. Let b = s - 11428. Let g = b - 101. Are g and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45538176*d**2 + 21*d - 641113.\nAnswer: 91076352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/23497 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h - 2*p, 5*p + 0 - 4 = -2*h. Let s(f) = 2*f + 1. What are the prime factors of s(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 302958592 from 52.\nAnswer: -302958540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -668, -2669, -6004, -10673, -16676, -24013?\n\"Answer: -667*x**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -616123605 divided by 484755\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2*m - 1. Let z be j(-3). Let h(t) = -t**3 - 11*t**2 - t - 5. Let y be h(-11). Solve -z*w + y*w + 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6478774 minutes to microseconds.\nAnswer: 38872644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -b + 19 - 7, -9 = -3*i. Suppose 6*w - b*w = 15. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 12*r - 9. Give b(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43857, -87734, -131611, -175488, -219365?\nAnswer: -263242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1112 - -1152. What is the greatest common divisor of j and 4000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122155 (base 8) to base 12.\nAnswer: -20439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*n + 3329*n + 105*n + 1403*n to the form i*n + z and give i.\nAnswer: 4865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o**2 + o + 2. Let l be g(-2). Let a be 8\/6*54\/l. Let j be (-3)\/a*(-12)\/(-9). Sort 3, j, 0.1.\nAnswer: 0.1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2339, 4557, 6775, 8993, 11211, 13429?\nAnswer: 15647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**2 - 9225*g - 9222 = 0.\nAnswer: -3074, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107821 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 439929 + -4?\nAnswer: 439925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1791 and 25\/21.\nAnswer: 12537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 2\/29 (c) -104 (d) -0.113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(175))*5*2.\nAnswer: 40 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 203, 1531, 2877, 4241?\n\"Answer: 9*d**2 + 1301*d - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/15*4\/(-18).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 47*g - 137. Give m(-4).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/10 (c) 1\/2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -14*g**2 + 364*g - 61. Let c be m(24). Solve -65*s + c = 156 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27607.9 - 27608. Which is the second biggest value? (a) 1\/7 (b) -36 (c) g (d) 2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -31*s**2 - 4*s - 25. Let b(p) = -2*p**2 - p + 1. Let h(z) = 4*b(z) - l(z). Find the first derivative of h(d) wrt d.\nAnswer: 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 + -83.4. Let r = 5 - z. Let j = r - -2.589. Round j to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684469038 to the power of 1\/2, to the nearest integer?\nAnswer: 41042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 15936.\nAnswer: 175296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009544 to 6 decimal places.\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (-5 + (0 + sqrt(242) + sqrt(242) - sqrt(242)) - (5*(1 + sqrt(242)) - sqrt(242))))**2*-1.\nAnswer: -13362 - 2772*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzzemzz. Give prob of sequence zzm.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:48 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3723 - 1468. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367484, 367545, 367712, 368039, 368580, 369389, 370520?\nAnswer: 372027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 30. Suppose -4*b + 4*i - 956 = n, b - i + 242 = i. Let j = b - -421. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5169 divided by -1370\nAnswer: 5169\/1370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2294.25837.\nAnswer: -2294.25837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10769, -10759, -10749?\nAnswer: -10739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(115 + (1 - 7 - -2)) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31622917.\nAnswer: 83, 139, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 6, k: 4, w: 1, r: 3}. What is prob of sequence nx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -54a82 (base 11) to base 16\nAnswer: -137d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**6\/20 - w**5\/4 - w**4\/2 - w**3\/2 - w**2\/4 + 11*w. Factor h(b).\nAnswer: -(b + 1)**3*(3*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.3. Let y = 117 - 117.4. Let j = -0.5 - -0.8. What is the closest to j in y, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 + 2*x + 1. Let z(b) = -3*b - 18. Suppose 5 = -16*j + 15*j. Let w be z(j). Calculate q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - h - 2*h + 15, -3*p = 5*h - 19. Suppose -4*w + 1 = -p. Suppose d - 5 = -w. Solve -4 = d*y - 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.51425 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-426)\/(-12) + -17.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g + 558 = 37*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -32. Let k = a + -2. Let i(h) = 6. Let f(t) = 13. Let m(v) = k*i(v) + 2*f(v). Let g(d) = d + 7. Determine 4*g(n) + 7*m(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66153385798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a + a**4 + (4*a - 5*a + 0*a)*(3 - 3 - 2*a**3) - a**4 + 320*a - 320*a.\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m - 5*m + 228 = -31*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + (-1 + -10 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 + 1058*u**2\/9 + 4256*u\/9 + 4264\/9.\nAnswer: -2*(u - 533)*(u + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 75851237533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69548615*u**4 + 62390387 wrt u?\nAnswer: -278194460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:48 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 32 = 4*w, 17 = -2*a - 3*w - 2. Suppose 3*x + 2*x = -4*o - 9, 6 = 4*o + 2*x. Sort o, 6, a in decreasing order.\nAnswer: 6, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369332.\nAnswer: 2, 92333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 + 141. Let m = -1503 - -1502. Which is the closest to m? (a) s (b) -3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 196*r + 43*r - 2 = -t - 46*r - 2, -4*t - t + 5*r = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 47 + 55 - 107*h**2 - 155.\nAnswer: -107*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -14. Does -8\/11 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56762035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -115035 smaller than 108\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.2 + 23.2000197. What is r rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 11 = 138*h - 135*h, -5*h = 4*n + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6380 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-23)\/(-138)*(-1)\/(3\/42).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28458.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 1784?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*j + 8 - 20. Sort 3, j, -5\/121, -1.5 in descending order.\nAnswer: 3, j, -5\/121, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18135\/(-124)*(-4)\/3 is divided by 52?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/24)\/((-20)\/6). Are 1 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-15)\/5 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {d: 5, y: 1, l: 1, i: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 + 1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -51*s**2 + 4*s - 13. Let c(o) = -127*o**2 + 10*o - 26. Let m(a) = 2*c(a) - 5*n(a). Calculate m(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*k + 2. Let a be 63\/5 - k\/10. Let m = a + -5. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*h + 6 = 2*h, 1 = -3*x + h. Let v = -5.18 - -0.18. Let g = 5.2 + v. Which is the second smallest value? (a) x (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-4725))\/(6\/4*(-6)\/21).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18699.1 + 18610.037. Let n = -87.26287 - j. Let g = n - 1.8. What is g rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 3*s - 360. Let c = s - 33. What is the second derivative of 7*k - 4*k**c - k**3 + 18*k + 7*k**3 wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4\/16 - 4251\/(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2 + 27346*f + 18228.\nAnswer: 2*(f + 4557)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 18, 16, 14, 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -2*(sqrt(1008) + 3) + -3 + -5)*6.\nAnswer: -144*sqrt(7) - 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2769810 divided by 1?\nAnswer: -2769810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikkikkkkikiki. Give prob of sequence kk.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from yhyuhhuuuuy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*d + 2 = -0, 12*c = -11*c - 28*d - 5 - 41 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -386, -464, -562, -686, -842?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, 0, 4, -2, -5, -1, 10.\nAnswer: -298, -5, -2, -1, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 551310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 + 305806?\nAnswer: 305868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1440004nm to micrometers.\nAnswer: 0.0001440004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1) + (-6)\/(-2). Suppose 3*y - 6 = 4*b, -b + 2 = y + 4*b. Solve 3*z = -y*s + 7, z + u = -3*z + 4*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-70) + (0 - 127398\/(-168)). Is 759 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38967, -155897, -350773, -623595?\n\"Answer: -38973*x**2 - 11*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - f**2 - 2*f + (0*f + 0*f + 2*f)*(f - 1 + 1) + 3*f - 3*f**2 - 3*f + (7*f - 8*f + 8*f)*(2*f + 2*f - 2*f) to v + c*f + h*f**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -22. Suppose 5*n + 25 = 0, 0 = 5*r - 2*n - 7 - p. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 320850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*k - 10, -27 = -4*k - 0*o - 3*o. Let t = 5 - k. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) -5 (c) -0.1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i**3 + 3*i**2 - i. Let a(j) = 9*j**3 - 4*j**2 + j. Suppose 0 = 4*f - l + 19, 0*f = -5*f - 2*l - 14. Determine f*r(h) - 3*a(h).\nAnswer: 5*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 58203020 divided by 11640604\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k + 46. Let f be j(18). Suppose -5*m + f = -5*t, 3*m + 3*t - 149 = -t. Calculate the remainder when 138 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15174?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 4*b**2 + 2*b - 13. Determine h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n - 2. Suppose 9*f - 20 = 16. Calculate the remainder when b(5) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - -9. Let a be 2 - d*1\/(-1). Suppose 0 = -3*c + 21 + a. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-816)*60)\/((-420)\/(-32)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 187260938 - 1055.\nAnswer: 187259883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -161296.6 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, 160, 370, 664?\n\"Answer: 42*p**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1175 - -1174.39956. Let j = -0.00104 - m. Let u = j - 0.6. Round u to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.4411 weeks to nanoseconds.\nAnswer: 603857177280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 20\/7, 0.0143, 12\/7, 18, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -488*s + 53732. Give z(110).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -342, -345, -350, -357, -366, -377?\n\"Answer: -i**2 - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 96*5\/(-15)*3. Let o = d + 95. Is o\/((0 - 2)\/1670) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 12. Let p be n(9). Suppose -2*x - 2*w = p*x - 18, -5 = 5*w. Let r(f) = f**2 + 14 + x*f**3 - 3 - f - 10. Calculate r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4332 = -1984. Suppose -4*x = -6*x + 5*m + z, 4*m = 3*x - 2379. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*k = -11, -3*g + 4*k = -4*g - 9. Let t = g + 24. Calculate the highest common divisor of t and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlljjljxxlljjxnxx. What is prob of sequence jl?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.027574609 and 0.5.\nAnswer: -8.527574609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -0*z, 2*o - 2*z = 28. Let m be (-36)\/o - 3\/(-12). Let a(i) = -i**2 - 2*i - 3. Give a(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -0.1, 4\/103, 0.46898?\nAnswer: 0.46898","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.34 - -6.94. Which is the closest to 9? (a) 2\/177 (b) -2 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 279706, 279705, 279704, 279703?\n\"Answer: -g + 279707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6574092 divided by -35924\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7*2)\/(20\/8). Let i = 12869 - 12863. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 6. Suppose -34 = -3*s + x, 0*x + 20 = -b*x. 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 c = 0.8 - 1. Let i = -21.4 + 21. Let y = c - i. What is the nearest to -1\/3 in -5\/3, y, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**2 + 6. Let y(j) = 3 + 1 - j - 1. Let z(c) = -c + 1. Let v(d) = -4*y(d) + 12*z(d). Determine r(v(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.3 (c) -226 (d) 1\/17 (e) 2.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 90, 146?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from rrvvrv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412281 is divided by 24223.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 8:45 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17370 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, r: 3, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14065979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130362226.\nAnswer: 2, 7, 67, 83, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1548428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:19 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**3 + 309*g - 3. Let q(b) = 2*b**2 - 4*b**2 + 6*b**2. Determine w(q(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2*m + 24, -53719*i = -53722*i - 2*m - 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5 - 88486*d**4 + 619340*d**3 - 1592536*d**2 + 1769456*d - 707776 = 0?\nAnswer: 1, 2, 44236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -3.2 (b) 5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, m: 11, a: 1}. Give prob of sequence maum.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 4, 7\/5, 4\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = 70. Let q = v - -34. What is the lowest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - o - 10, -14 = -2*g + 5*o - 0. Suppose -3*l - 4 = g. Let r = l - -2. Solve c + 5 + 0 = r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39901 + 4*k**3 - 39901.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**2 + 5*s + 9. Let q = -18 + 23. Let c(i) = -5*i - 7. Let t(b) = -b**2 + 6*b + 8. Let k(n) = 4*c(n) + 3*t(n). Give q*k(m) + 2*g(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 11*c + 3. Suppose 7*p + 2*w = 370, 144*w - 146*w = -2*p + 134. Calculate the remainder when p is divided by t(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/405617642 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 + 2*k - 68 + 15*k**2 + 18*k**2 in the form a*k + g + y*k**2 and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -201*f - 219*f + 2100. Let o be 304\/10 + (-4)\/10. Solve -5*i - 4*q - o = 0, -f*i + 5 = -4*q - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, 70, -42 in decreasing order.\nAnswer: 70, 0, -17, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11977, -4 in ascending order.\nAnswer: -4, 2, 11977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72149093 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: Round 0.0000003575819365 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 8. Let s(y) = -23 + m*y**2 - y**2 + 17 + 8 - y. What are the prime factors of s(3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 33. Let f be k(0). Let t = f + 30. Which is the closest to t? (a) 2 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*o**4 - 10664 - 4*o**2 + 5335 + 5335 in the form f*o + s*o**4 + u*o**2 + w + y*o**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16535244 + -3?\nAnswer: -16535247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(9\/2)*p)\/p**7*(p**(7\/5)*p)\/(p**(2\/19)*p))\/((p**(-1\/10)\/(p\/(p*p*p**(3\/5))))\/(p**(-2\/9))**(-23)) assuming p is positive.\nAnswer: p**(2912\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7 = -2*d, 0 = -4*d + d - 2*v + 16. Suppose -3*g + 51 = 3*x - 0*x, 0 = -x - 3*g + 7. Calculate the remainder when x is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 15*z + 3. Let j be g(-15). Suppose -j*c + 18 = -c. Let k be 0\/((4 - c)\/5). Solve -3*q - 3 - 9 = k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, v: 3, c: 5, r: 1}. What is prob of picking 3 c?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by -57.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -371380.61784808.\nAnswer: -371377.61784808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3560\/9345 - (9\/(-7) - -1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*t - 21 - 100, 3*t - 3 = 0. Suppose 2*a = -5*j - 0*a + y, -6 = 3*j - 3*a. Suppose -i = j - 13. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/120 + 4*c**5\/15 + c**4\/6 + 13*c**3\/2 + 14*c**2. What is the hundreds digit of r(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*n**2*t - 2362813*n**2 + 640*n*t wrt t.\nAnswer: 59*n**2 + 640*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 204*o + 3384. Calculate the lowest common multiple of b(4) and 3360.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + a**2 - 2*a + 3. Let d be k(0). Suppose 0 = d*o + 16 - 1, -3*f = -5*o - 37. What is the units digit of (-2268)\/(-49) + f\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018639607 to 7 dps.\nAnswer: -0.0001864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-1))\/(102\/(-68))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 7) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221194463?\nAnswer: 7, 17, 109, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -38. Let k = h - 11. Suppose k*x - 132 = 4*x. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 13.5. What is m rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 8*c + 6. Let t = -1 + 0. Let i = 21 - t. What is the remainder when i is divided by d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(700)*1)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.041 (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(17\/((-255)\/10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*t**5\/2 - 30870*t**4 - 50300*t**3 + 276400*t**2 - 114040*t + 12320 = 0 for t.\nAnswer: -4, 2\/9, 2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 4 = 0. Let n be (-88)\/(-11) + c\/2. Solve -1 - n = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 708848309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 + -16 - (0 + -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 + -64. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 13*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 4*d - d)*(-302 + 302 - 34*d) in the form q*d**2 + z + y*d and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 18.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.09 + -25.09. Which is the fifth smallest value? (a) -3 (b) 885 (c) 0.2 (d) 4 (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15552 (base 9) to base 2\nAnswer: 10100110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (-5 + 10)) + 1 + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -59046*l - 13280*l + 108544*l in the form w + m*l and give m.\nAnswer: 36218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.136 - -2.864. Which is the second smallest value? (a) u (b) 1.4 (c) -5 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + l = 4*l + 1, 5*i = -3*l + 19. Let q = -353 + 366. What is the remainder when 2\/(i - (-47)\/(-24)) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -14. Suppose 4*v - 2*d = 74, -3*d = -5*v - 5*d + 106. Suppose -7*r = -2*r - v. Solve s + w*c - 25 = -r*s, -2*s + 10 = -2*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**5 - 4*h**4 - h**3 - 6*h**2 + 6*h. Let a(p) = 2*p**5 + 9*p**4 + 2*p**3 + 13*p**2 - 13*p. Let v(n) = 6*a(n) + 13*u(n). Factor v(w).\nAnswer: -w**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301 by 1.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 - 68604*y**3 - 368214690*y**2 + 278451197604*y + 278819343693 = 0. Calculate y.\nAnswer: -11769, -1, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9931737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3918 is divided by 1193?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2216.413ug to grams.\nAnswer: 0.002216413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.141 - -0.011. Let z = 0.83 + o. What is the closest to 2\/3 in 2, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1073*a**4 + 21*a**2*g + 4*g + 7686 wrt a.\nAnswer: 4292*a**3 + 42*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 8424, -24, -4\/121?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 666840.205 to the nearest one thousand.\nAnswer: 667000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311231 (base 5) to base 7.\nAnswer: 41466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24737315 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k - 2169 = 895 - 1069 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 301457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1314 + 3340043?\nAnswer: 3341412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48223, -96421, -144609, -192781, -240931, -289053, -337141, -385189?\nAnswer: -433191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -69.\nAnswer: 26\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20001220 - 22?\nAnswer: -20002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51 + 56)*((-1323)\/3)\/(-3). What is the highest common factor of d and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 7, 0.515?\nAnswer: 0.515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:30 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7430 = -5*u, 5*u + 0*u - 20 = 0. Suppose 30*t - 25*t - s = 0. Suppose 2*a - 5*v - 63 - 498 = 0, -5*a - 5*v = -t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(-2 + (sqrt(1900)*-3 + sqrt(1900) - sqrt(1900)) + -5) + 0)**2.\nAnswer: 3780*sqrt(19) + 154341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10230002.8855 plus -9?\nAnswer: 10229993.8855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 14*a**2 + 2*a + 24. Determine z(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 4\/5, 41.4, -739?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -119*l**2. Let b(f) be the first derivative of 2*f**3\/3 + 35. What is i(b(v))?\nAnswer: -476*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 24*y**2 + 23*y - 4. Let n be h(-23). Let p be -3 + 4\/4 - n. What is the greatest common factor of 26 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -927225\/16126 - 534\/733. Let b be (-1311)\/(-33) - (2 + -1). Let g = z + b. Find the common denominator of g and 59\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.020479?\nAnswer: -0.102395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*y**2 + 4)*(100 + 13225*y**2 + 613*y - 99 - 612*y) to the form j*y + q*y**3 + w + g*y**2 + s*y**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**3 - 7*x + 30. Let n be o(3). Calculate the highest common factor of 475 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 4*d - 10, -4*d - 10 = 2*a - 2*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8552394.\nAnswer: 2, 3, 17, 19, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -5969, -10, 5, 1, -5 in decreasing order.\nAnswer: 5, 2, 1, -1, -5, -10, -5969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/12)\/(2\/(-6)). Let l = v + -2. Let r be (-1)\/l*3 - -24. Solve 0 = 5*c - 4*f - r, 6*c - 20 = 2*c + f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1091 * 0.3\nAnswer: 327.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1.5. Let b = -0.36 - -0.16. Put c, b, 0.4 in ascending order.\nAnswer: b, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/k)\/(k\/(k**3*k))*(k\/(k\/((k*k**(1\/4))\/k)))**(-50) assuming k is positive.\nAnswer: k**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473 at most as big as 11781\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11103 (base 5) in base 11?\nAnswer: -648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 5:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 4, 2, -4\/3, 12\/41, -2.4?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2374 divided by -1187?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 7220?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 16*i**2 + 16*i - 13. Let r be (3 + -4)\/(2\/(-30)). What is the lowest common multiple of j(r) and 0*2\/(-4) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -310?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 791 + 23?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iggg when four letters picked without replacement from {i: 11, g: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 5*b + 7. Let d be z(6). Suppose 5*u + d = 3*a, -23 = -a - 0*a + 3*u. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-14))\/(((-5)\/(-20))\/(4\/8))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-295)\/(-15) + 1\/3. Suppose b + c = 5*p, -5*b + 0*b + 3*p = 12. Suppose b*r + 3*f + 21 = 3*r, 2*f - 10 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-4 - -4 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 - 4*q - 3. Let m be 1\/(-2) + (-9)\/6. List the prime factors of g(m).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2. Let i(w) = 2 - 3 + 275*w**2 - 45*w**2 + 167*w**2. What is z(i(c))?\nAnswer: -157609*c**4 + 794*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 3*r**3 + 7*r**3 + (3*r**2 + 2 - 2)*(-r - 2*r + 0*r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 4*f**3 - 51379*f + 51379*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-82)\/((0 - -1)\/1). Let t = -52 - c. Let h = t + -9. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -1, 2, 0 in increasing order.\nAnswer: -1, 0, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -8, 0.9, -2, -127, 1, 5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8549182669.9602 and -2.\nAnswer: 8549182667.9602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3044, 2818, 2426, 1856, 1096?\n\"Answer: -2*u**3 - 71*u**2 + u + 3116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwewoeoewmfowwea. Give prob of picking 1 f and 1 o.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3869835150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -21*b**3 - 11*b**2 + 15. Suppose -154*v = -15*v + 16*v - 310. Let c(f) = 4*f**3 + 2*f**2 - 3. Calculate v*z(t) + 11*c(t).\nAnswer: 2*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/3, 0.03, -4, -1.053, 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.617018 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*r - 0*v + 5, -4*r + 3*v = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102358 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeqg when four letters picked without replacement from {e: 5, g: 4, q: 3}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/8)\/(82\/(-58384)*-89)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15124043 (base 6) in base 9?\nAnswer: -878400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 9.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*-1 + 1.\nAnswer: -5*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a + a - 3*a)*(-5 + 4 + 0) - 16*a + 8*a - 4 - 10*a in the form w*a + i and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + l)*(-60 - 105 + 48) + 0 + 0 + 2*l + (-2*l + 2*l - l)*(0 + 1 + 0) + 1 - 2*l - 1.\nAnswer: -118*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -6*r + 63, 4*r = 74*d - 75*d + 3 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0 - 8. What are the prime factors of (-12*(-4)\/16)\/(m\/34)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)*(0 - -2). Suppose r = 6 + q. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, -11, -47, -101, -173?\n\"Answer: -9*b**2 + 9*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.10926 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 245996*w + 83206794022.\nAnswer: 2*(w - 676489)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*d + 11 = 0, -4*d - 8 = 4*x - 9*x. Suppose x*v = 11 + 9. Suppose -713 = -5*t + 3*c, 0*t = 2*t - v*c - 270. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 12. Let a(d) = -2*d - 6. Let g(n) = 14*a(n) - 6*b(n). Let v be g(8). What is the third derivative of t**v + 0*t**2 + t**2 - 2*t**2 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 69 = -0*g + 3*g, -g + 131 = -5*f. What are the prime factors of 44 - ((-9)\/f + 2\/3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -4*f + 42. What is the remainder when 155 is divided by f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187286340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**3 + 1964*b**2 + 11892*b + 17892 = 0.\nAnswer: -3, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14468 divided by 3617?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 14. Suppose a = t - 7. What are the prime factors of a*(-3 + -1 + 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/10 (b) 0.4 (c) -141 (d) 1 (e) 2.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008635 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 3)*260\/(-208). Suppose 5*h - 2*h = 0. Suppose -p*a + 97 = 3*z, 3*a - 58 = -h*z - 2*z. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3 + sqrt(605)*-3 + -5 + sqrt(605))**2*5*-5 + 4).\nAnswer: 11000*sqrt(5) + 302980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 51 = m. What is the remainder when 151 is divided by m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 8083*n + 72704. Determine r(9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*y - 2*y - 15, -3*y + 5*u + 6 = 0. Sort -5, y, 2.\nAnswer: -5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2901*w + 672 = 2733*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + 1*sqrt(11) + -4 + 1 + ((sqrt(220)*2)\/sqrt(4))\/(sqrt(10)\/sqrt(2)*-6))**2.\nAnswer: -28*sqrt(11)\/3 + 467\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -2 - 5 - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/31 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1013 - 1017. Let l(c) = -4*c - 20. Determine l(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.22916.\nAnswer: -0.045832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 9. Let r(u) = -u**2 + 4. Let f(a) = 4*o(a) + 9*r(a). Let p(t) be the third derivative of 2*t**4\/3 - 23*t**2 - 2*t. Determine p(f(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 315*y**2 - 1243*y - 314*y**2 - 75 - 2*y**3 + 41 + 32 as c*y**2 + u*y + s + w*y**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3 + 3 - 29*h. Let a(s) be the first derivative of -s**3\/3 - 3785. Give w(a(b)).\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 510 (b) -0.3 (c) 1\/3 (d) 0.1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 9*l - 70. Let x(d) = 2*d**2 + 6*d - 47. Let y(i) = 5*m(i) - 7*x(i). Let k be y(-7). Find the first derivative of 34 - k*h + 33 - 59 wrt h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*t - 146*t - 158*t + 1.\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 2*o + 6*o - o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 143?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -147553 + -2277?\nAnswer: -152052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - (3 - 3318171\/301257). Let t = -2\/537 + a. Find the common denominator of t and 13\/136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 83 + 345. Let t = r + -104. What is the smallest value in t, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*1 - sqrt(363) - sqrt(363))*-5)**2*-3.\nAnswer: -27225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.76620504 rounded to 3 decimal places?\nAnswer: 7.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5766846 and 152036.34?\nAnswer: 5614809.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 2, c: 1, f: 1, m: 1, n: 1}. Give prob of sequence fn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6120322293 - z - 6120322293.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 6. Let i be u(0). Suppose 10 = 2*x - 0*x. Suppose -2*t = -x*t + i. Solve -2*b = -5*l + 6, 4*l - 4 - t = 2*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -363055, -726105, -1089149, -1452187, -1815219, -2178245, -2541265?\n\"Answer: 3*i**2 - 363059*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 45285.\nAnswer: 1992540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3681)\/147 - (-1978)\/48461?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 118*m**2 + 118*m**2 + m**3 - 134*m - 265*m as n*m**2 + j*m + b + v*m**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37260579 divided by 12420193.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25413 (base 6) to base 15.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 - 2*k + 10. Let d be b(-6). Let m = d - -488\/3. Solve 2\/3*f**5 - 10\/3*f**4 + 4\/3*f + 0 + 6*f**3 - m*f**2 = 0 for f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)\/(17\/(-2)). Let z = 6 - 10. Let j = 4 + z. Which is the closest to 1? (a) 3 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11028257 less than or equal to -11028263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/7)\/(5\/70). Let a be 1*l + (4\/(-2) - -2). Suppose a*g + 118 = 1354. Calculate the remainder when g is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -1057?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001021102122 - -222200?\nAnswer: 1001022102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 2*v - 11. Let t be a(-5). Let j = -3 + 2. Let q be (t - j)*80\/(-6). What is q rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -49. Let p = -24 - r. Calculate the remainder when 31 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.74, -4, 4?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2. Let j(l) = -5*l - 2*l + 6*l. Calculate j(m(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -7) + (0 - -73)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbvs when four letters picked without replacement from bbbbsbbbvbbbbbbbbb.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - z = -2, -5*n + 4*z - 153 = -118 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 13*g + 54*g)*(-2*g + 5*g - 4*g) - 1 - g**2 + 1.\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371301?\nAnswer: 3, 7, 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(19) + 1 + sqrt(19))*6 - sqrt(19)) + 5.\nAnswer: 13 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -3180064?\nAnswer: -3180074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 60, 132, 232, 360, 516?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8798.\nAnswer: 2, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -25*b**3 - 185*b**2 + 191*b - 6. Give z(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3130 divided by 5\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - 3916\/(-110). Let s be (-18)\/l - (-21)\/2. Find the third derivative of -17*d**2 + 12 + s*d**4 - 12 wrt d.\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l + 4. Let o be 65\/(-15) + 2\/(-3). Let f be 0 + (-3)\/((-3)\/(-2)). Let s(k) = 9*k - 9. What is f*s(i) + o*a(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79 + 154 - 3002*g**2 - 73 - g - 2*g**2 + g + (-2*g - 4*g + 4*g)*(0*g + g + 0*g) - 2*g**2 + 3*g**2 - 2*g**2 + g - g - 2*g**2 + 0*g**2 + 2*g**2 - 4*g**2.\nAnswer: -3011*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 600 - 1243\/2. Let o be ((-2)\/(-404))\/(222\/(-8)). Let q = o - -997799\/112110. Find the common denominator of q and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -9*n + 10*n - 3*b, -2*n - 3*b - 4 = 0. Solve -2*w + d - 2*d = 6, 0 = 3*w - d + n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1381\nAnswer: -2762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547 - -1.93.\nAnswer: -545.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18648 and 42.\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1))**(-9)\/((n\/n**(-9))\/n*n**8))**(-26\/9) assuming n is positive.\nAnswer: n**(442\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + (35 + -21 - 1 - 32)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3990 and 10590790.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -945*o**2 + 4150*o**2 - 2267*o**2 - 957*o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -64b0b0 (base 12) in base 16?\nAnswer: -1856c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181333 + -181333.0399985. Let l = x + 0.04. What is l rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + 3738\/(-280)*1\/2 and (-35)\/126*-4 - (-2)\/(-9).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/10)\/(3\/(-10)). Which is smaller: -5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0 - 8. Let u(l) = 2*l - 70. Let q be u(32). Is (-1688)\/(-6)*q\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/22 and 43\/69156964?\nAnswer: 760726604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1215) - (1*sqrt(1215) - sqrt(1215))) + sqrt(1215) - sqrt(1215))\/((-4*sqrt(5)*1 - sqrt(5)) + (sqrt(120)\/sqrt(4))\/sqrt(6))*-3.\nAnswer: -27*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 280453 divided by 5?\nAnswer: 280453\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23155.7 or -35?\nAnswer: -23155.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + (45 - 46).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953716.\nAnswer: 2, 109, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1058263 (base 15) to base 12\nAnswer: -3aaa279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 + 2*p**3)*(-4*p + 2 + 7*p + 2).\nAnswer: 6*p**4 + 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5503 (base 16) to base 13.\nAnswer: 9ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 9. Suppose -108 - 57 = 15*g. Let s be c(g). Differentiate -3 + 33 + 4*k**2 - 27*k**s with respect to k.\nAnswer: -46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {p: 4, e: 2, j: 1, l: 9, f: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z + 389. Let m be h(-17). Calculate the greatest common factor of 43 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2\/7 (b) -19.2 (c) -2680\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u + 10*u + 24. Is (-2)\/(-2) + 792\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 550600, 550598, 550594, 550588, 550580, 550570, 550558?\n\"Answer: -d**2 + d + 550600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23144041412 - 2?\nAnswer: 23144041410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56227019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llkk. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 - 2)*(s + 3*s - 5*s) + (3 + 0 - 1)*(0*s - 4*s + 11*s))*(0*s**3 - 2*s**3 + 0*s**3) to q*s**3 + d*s**4 + w*s**2 + k*s + b and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-1\/3)\/a*a*a*a)*a*a*a*a**(-3)*a)**(-43)*(((a*a*a**(-4\/9)*a)\/a)\/a)\/(a\/(a**(-1\/6)\/a))*(a\/((a**(-1)\/a)\/a))**(-16\/9) assuming a is positive.\nAnswer: a**(-415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 616342.40636 + -616363. Let m = 15.7 - 36.3. Let x = d - m. Round x to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = 0, 2*k - 163 = -2*k + 5*d. What is the remainder when 143 is divided by k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, 10, -1, -9.801, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*10)\/(5\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 0*o**3 - 4 + 0*o**3)*(2 + 3 - 2 + (-5 + 3 + 0)*(2 - 3 + 2)).\nAnswer: o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from bmbbmmhmhhhmmhhmhb?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/36*((-276)\/9)\/(-2)*94\/47?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-1)\/((-1)\/(-4)). Suppose 304 = k*v + y - 5*y, 0 = -4*y + 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(3) + 0 + -3 + 5*(sqrt(3) + 1) + 0.\nAnswer: 7 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155846.1 take away 3?\nAnswer: -1155849.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 113 + 40. Calculate the remainder when u is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 213562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -34*t**3 + 5*t**2 - 3 - 9*t**2 + 4*t**2 - 4*t. Is i(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -5*g + 5*u + 90, 4*g + 3*u - 72 = 0. Let y be (-85)\/(-30) + 3\/g. Let -14\/3*r**y - 4\/3*r**2 - 2*r**4 + 0 + 0*r = 0. What is r?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105817.\nAnswer: 105817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 833 (base 13) to base 4\nAnswer: 111302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 20*m**2 - 7*m + 34. Let i(s) = -s**3 + 5*s**2 + 7*s + 4. Let y be i(6). Calculate d(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(288) - -5*-2*sqrt(288)) + (-2 + sqrt(288))*6 + (-2 + sqrt(288) + -4 - (sqrt(288) + (sqrt(288) + 1 - sqrt(288)) + -4)**2) + 3.\nAnswer: -310 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 162564000 to the nearest 1000000.\nAnswer: 163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -4 (c) 63 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**3 - 13*r**2 + 13625*r - 2*r**4 - 13623*r + 4*r**2 - 16 + 5*r**2 to the form k*r**4 + g*r**3 + u + y*r**2 + l*r and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37287 + -37238.554. Round y to 0 decimal places.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/(-192)*-8 - 7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 13. Find the third derivative of -f*l**2 - 4*l**4 + 0*l**3 + 0*l**3 - 2*l**4 wrt l.\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*j)**(11\/3)\/(j**(-10)*j*j**2\/j))**(1\/21) assuming j is positive.\nAnswer: j**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 61. Let z = y + -17. Suppose -5*k + z*k = 0. Solve -2*a + 5*t - 28 = k, a - 8 = 2*a - t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, 4\/7, 3, -2\/7 in descending order.\nAnswer: 3, 4\/7, -2\/7, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -35348604*5\nAnswer: -176743020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.70949279245 and -5.9.\nAnswer: -16.60949279245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 868 = g - 3*v, 0 = g - 4*v + 204. Calculate the common denominator of 218\/g + (-6)\/(-15) and (23\/(-5))\/(10\/25).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/4))**16*k**(4\/11)*k*k*(k\/k**(3\/7))\/k*k assuming k is positive.\nAnswer: k**(1766\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 12384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21958d + a?\nAnswer: 219597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from ohbapphhbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39887*f**3 + 2569*f**3 - 10283*f**3.\nAnswer: -47601*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -71219, -11, 5.\nAnswer: -71219, -11, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/273, 2, -2 in descending order.\nAnswer: 3, 2, -1\/273, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45.8 and -3.\nAnswer: -48.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m\/m**(1\/3))\/m))\/(m*((m**(8\/7)\/m)\/m)\/m))\/(m\/m**(2\/7))**(-3\/16) assuming m is positive.\nAnswer: m**(781\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-8)*i\/(i*i\/(i\/i**(1\/7)))*(((i\/(i*(i\/i**(-8))\/i*i*i))\/i*i)\/i*i)\/(i**4\/i) assuming i is positive.\nAnswer: i**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/31584096 and 34\/70961.\nAnswer: 347425056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - o - 2*o + 0*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*(-3*o**3 + 4*o**3 - 2*o**3) + 7*o**2 - 7*o**2 + 9*o**4 - 6*o**4 + 3*o**4 + o**4 + (-2*o + 7*o - o)*(1 - 1 - o**3).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.9999648 - 16. What is v rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.19 + -0.81. What is the smallest value in 2, 178, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7 - 14 = -3*x, -4*x = 4. Suppose 3*g + 0*a = -3*a + 3102, -2*a - 2088 = -c*g. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -62296.\nAnswer: -1\/62296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010164724 to seven dps.\nAnswer: 0.0001016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100046, -100048, -100050, -100052, -100054?\nAnswer: -100056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 17*l - 3. Let n(q) = -6*q + 1. Let f(j) = -4*a(j) - 11*n(j). Let m be f(1). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = v. Let y = 894 - 833. Calculate the remainder when y is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-7462)\/56)\/(-41)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001538 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 250358195 to the power of 1\/2, to the nearest integer?\nAnswer: 15823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (1\/4)\/(13\/2236)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -50*k**3 + 102*k**2 - 5*k + 8. What is l(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/9))**(7\/4)*(a**(2\/5))**(1\/2) assuming a is positive.\nAnswer: a**(281\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(4\/9))\/y)\/y**(-18)*y**(9\/4)\/(y*y**(-3\/11)\/y) assuming y is positive.\nAnswer: y**(8303\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 14. Let t(s) = -s + 1. Let x(z) = r(z) + 10*t(z). Let v(c) = -7*c + 1 - 3 - 3. Determine -5*v(i) + 6*x(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from ufuufhutrtuu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/54)\/(-7)*6\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, 1 h, and 1 e when four letters picked without replacement from iaeehix?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3102, 3132, 3292, 3648, 4266, 5212?\n\"Answer: 11*j**3 - j**2 - 44*j + 3136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = 2*z + 2, 290*p = 287*p + 4*z + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 3)*5 - 5\/((1280\/112)\/16). Let p(m) = m**2 + m + 9. Let v be p(0). Solve v*c**2 - 3\/2*c**d + 6 - 27\/2*c = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*l = -23, 0*l + 5 = 5*i + 5*l. Suppose -2*t - 7 - i = 0. Let z be (2\/t)\/(6\/(-18)). Calculate the greatest common factor of z and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18775 - 18783.983. Let t = -9 - l. What is t rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Let r be (-9)\/((-387)\/128) - 3. Let i = -48\/215 - r. What is the nearest to -5 in -0.4, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -44*k**3 + 257*k**2 + 180*k - 839. What is v(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {d: 1, f: 4, t: 1, p: 2, m: 3, b: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 6. Suppose -2*b - t = 18, z*b = 4*t - 22 + 6. Let i = 5 + b. Put -2, -2\/9, i in descending order.\nAnswer: -2\/9, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -398 - -777. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-8))\/((-98)\/((-21)\/(-3)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2. Suppose -6*v + 7 = -11. Let p(g) = 2*g**2 - g**2 + g**2 + v*g**2. Give k(p(i)).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162 + 78 - 4)*(-l**4 + l**4 + 2*l**4)*((-1 - 1 + 4)*(3 - 16 + 0)*(0 + 4 - 3) + 2 - 1 + 0 + (3 + 3 - 5)*(-4 + 2 + 3)).\nAnswer: -11328*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 30 = -36 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 2, r: 1, b: 1, c: 1, q: 1}. Give prob of sequence bg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 521*b**5 + 15*b - 6 wrt b?\nAnswer: 10420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*h + 79, 1156 = -5*r - h + 1147 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*l - 4, -2*p - 3*p + 10 = -l. What is the lowest common multiple of 10 and (3 - (-1 - l))*11\/1?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (109 - -4) + -1*3*-1. Is 21 a factor of (a\/16)\/(1\/8*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2427, 10827, 24829, 44433, 69639?\n\"Answer: 2801*t**2 - 3*t - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 1751074*w - 3502152.\nAnswer: (w - 2)*(w + 1751076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9277 to one dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2421432 (base 6) in base 13?\nAnswer: -45ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2031320411 - -301?\nAnswer: 2031321212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12179, 24313, 36397, 48407, 60319, 72109, 83753, 95227?\n\"Answer: -4*u**3 - u**2 + 12165*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(3) + 2*sqrt(700))*-1 - -1*sqrt(14)\/(sqrt(288)*-2))**2.\nAnswer: 1958887\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 2*j + 4*j + 0*j + j.\nAnswer: 3*j - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 3*c + 4*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120160164 is divided by 1143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/24 - 5*j**3\/6 - 7*j**2. Let z(o) = -3*o + 10. Let q(d) = -5*r(d) - 2*z(d). Give q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 795*c**8\/112 + 91*c**5\/60 - 7*c**4\/24 + 27*c**2 - 1. What is the third derivative of b(u) wrt u?\nAnswer: 143100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by 31\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + 6136?\nAnswer: 6063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 68 + 54 + 42 + 1201*x - 1196*x. What is the units digit of l(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1488 + 1488 + 6*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u - 26*u + 31*u + u**5 - 15 + (-31 + 63 - 39)*(-u**2 + 0*u**2 + 2*u - u**5 - 4*u).\nAnswer: 8*u**5 + 7*u**2 + 5*u - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42.74129 centuries?\nAnswer: 51289.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14169948*a**3 - 76247011*a**2?\nAnswer: -85019688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 - 199*r**2 - 295*r - 98 = 0. Calculate r.\nAnswer: -98, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 8. Let c(o) = o**2 + 3*o - 4. Let d be c(-2). Calculate l(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 391 = 3*l, 74 = 2*l + 2*f - 192. Suppose 4*s - 5*p - l = -p, 5*s - 145 = p. Suppose k - 5 = -1. What is the greatest common factor of k and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*k + 37486, 133*u = 4*k + 132*u - 37462. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.335921 from 0.008.\nAnswer: -0.327921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 93*l - 39. Let n(f) = -f + 11. What is 2*n(k) + z(k)?\nAnswer: 91*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -1\/15, 1, 2\/3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 937221246, 937221245, 937221244, 937221243, 937221242, 937221241?\n\"Answer: -i + 937221247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.045 and 8242488.1331.\nAnswer: 8242488.1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 747 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let n be r(11). Let c = n - 11. Find the first derivative of -19*p + c + p + p - 9 wrt p.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 + -313844.187?\nAnswer: -313615.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14805 + -14676. What is the remainder when 3992 is divided by h?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372546, 372547, 372548, 372549?\nAnswer: 372550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/1*0\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x**3 + 3*x + 2. Calculate k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83.41 - 83. Let i = 0.02 - 1.07. Let k = r + i. Round k to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -294, -5 in descending order.\nAnswer: 3, -5, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3 - 69*j**2 - 200*j - 132 = 0. What is j?\nAnswer: -66, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 20*v + 15. What is z(-15)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103714 and 2132?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 121. Suppose -6*s + o = -89. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 17*z**2 + 13*z - 56. Determine d(17).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335*y**4 - 1105*y**2 wrt y.\nAnswer: -8040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 - h**2 + h**2 + (-5*h**3 + h**3 + 2*h**3)*(-2*h + 2*h**2 + 2*h) - 3*h**5 - h**5 + 3*h**5 - 7*h**5 - 21*h**2 + 21*h**2.\nAnswer: -9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 7*n - 12. Suppose -3 = -3*l + n. Suppose 0 = -l*b + 39 - 13. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -234962*f**3 - 196906.\nAnswer: -704886*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*u - 5. Let m = -1 + u. Let p be -5*(2\/1 - m). Solve -2*i + 7*i - p = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 2*y - 5*g + 100, 2*g = -3*y + 56. Let z(v) = v**2 + 23*v - 2. Is z(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 24*t**2 + 3*t + 22. What is u(10)?\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3 + 3 - z. Let p(d) = 6*d - 33. Let m(q) = 5*q - 21. Let x(u) = 3*m(u) - 2*p(u). Determine -6*k(v) - x(v).\nAnswer: 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**7*x**(2\/5))**(-1\/34) assuming x is positive.\nAnswer: x**(-47\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(8\/5)*n)\/n*n**(-1)*n**8\/n*n**10)**(-2\/41))**(10\/3) assuming n is positive.\nAnswer: n**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 0*c + 14*c**2 + 4\/3*c**3 + 1\/30*c**5 + 13\/24*c**4 + 0. What are the prime factors of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z - 559 - 461 = -52*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**18)\/p*p*p)\/p*p*p**(5\/6) assuming p is positive.\nAnswer: p**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i - 49. Calculate the remainder when h(11) is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2731*b**2 + 193850*b + 3616. Determine r(71).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 94232*f + 21258502. Determine b(-224).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -635, -2065, -4845, -9431, -16279?\nAnswer: -25845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984.66nm to micrometers.\nAnswer: 0.98466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*m = -11*m + 10804. Solve -37*y + m = 221 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dttts. What is prob of sequence dttt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133605011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*v = 226 + 650 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13473)\/8483)\/(48\/(-476)).\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -857 + 915. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*k - 20, -v = 2*k - 3*v - 12. Sort -4, k, 5 in increasing order.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.94956 rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - k = -9, -5*s + 5 = 2*k - 15. What is the common denominator of (93\/21)\/(-1 + s) and 28\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - 52.9. Let o = -56 - u. Let h(k) = k**3 + 4*k**2 - 4*k + 6. Let t be h(-5). Which is the second biggest value? (a) t (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42\/23 in -0.4, -1, -4.447?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-22)*5192\/(-1888)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 + -416. Let v(u) = 9*u**2 - 3*u - 3. Let p(t) = -5*t**2 + 2*t + 2. Let y(f) = 5*f**2 - 2*f - 2. Let i be y(-1). Calculate g*v(b) + i*p(b).\nAnswer: 2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.90255 * 3\nAnswer: -5.70765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -130, -211, -294, -379, -466, -555?\n\"Answer: -f**2 - 76*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8, 7*j = 5*j - i + 26. Calculate the remainder when 94 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*p - 90 = 537*p - 261*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5452499, 10905000, 16357501?\n\"Answer: 5452501*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -14349*s - 5. Let g(f) = -141366293*f - 49259. Determine 5*g(x) - 49259*t(x).\nAnswer: -14074*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 2*m**2 + m**2 + 0*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-3)*6\/18. Solve o = -j - 2*j - 3*k, -3*k + 5 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/16 + -2)*(-1 - -5). Let g be q*3\/6*2. Suppose 5*y - g*s - 100 = 0, 2 = -3*y - 4*s + 62. Calculate the greatest common divisor of y and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2420 or 2421?\nAnswer: 2421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/19)\/((u*u*u**(1\/11)*u)\/u))\/(u\/(u\/u**(-4)))**10 assuming u is positive.\nAnswer: u**(7945\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 902535100 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -13. Let j(l) = l**3 - 2 - 7*l + 6 + 2 - 6*l**2 - 2. Let m be j(7). Sort 3, u, m in ascending order.\nAnswer: u, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2095809 is divided by 190525?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/12*(-31257)\/23. Is v at most as big as 444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 9*l - 6. Let t be u(-10). Suppose -9 = -t*q + 3. Find x, given that 60*x - 24*x + 0 - q*x**4 + 6*x**2 - 9*x**3 + 24 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10c (base 16) to base 6\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2539\/6 + 1699\/4. Let b = 8938068321 + -354573170083809\/39670. Let g = 1\/3967 - b. Calculate the common denominator of g and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 29*p - 9, -12*o - 56830 = -5*p - 57063 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16788*m - 643. Is h(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2231*0.7557.\nAnswer: -1685.9667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2\/11, 3, 107, 1\/9, -0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 20. Let n = -16.41 + t. Let s = n + 3.11. Round s to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 7. Let h = -54.79 - -53.89. Put -1\/3, h, u in descending order.\nAnswer: -1\/3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/198 and -73\/20394?\nAnswer: 20394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/15477 and 173\/2814.\nAnswer: 30954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 2\/3, 0.4, -0.41, -4\/115.\nAnswer: -0.41, -2\/17, -4\/115, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, e: 1}. Give prob of sequence vu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30865733 is divided by 15432858?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.274336 litres to millilitres.\nAnswer: 9274.336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 128 + 38 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933\/1676*(-16)\/(-26)?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*a)*(-1311*a - 313*a - 1147*a - 5107*a - 2988*a) to the form v*a**2 + y*a + l and give v.\nAnswer: 21732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/3 (c) -0.2 (d) 0.3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-5)*x))**(34\/7) assuming x is positive.\nAnswer: x**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/3360 and -223\/444570.\nAnswer: 7113120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 9:22 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 30 = 5*h. Suppose 0 = -3*x, 4*x = 3*i + h*x - 1539. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -2*g**3\/3 - 10*g. Let l(m) = 4*m + 1. Let w(a) = 2*l(a) + 3*s(a). Is 17 a factor of w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -17, -18, -5\/24?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**5 - 25040033*t**4 + t**2 + 3566548*t + 1.\nAnswer: 120*t**2 - 600960792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 831679476 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -833475 by 13.\nAnswer: -833475\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + w**2 + w - 1. Let c be p(1). Suppose -c*u = -16 + 4. Let q(b) = 2*b**2 - 6*b + 1. Determine q(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14999 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i - 34 = 0. Differentiate -4*x - i + 16 - 12*x + 15 wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-6)*6\/(-4). Let y = 5 + x. Let m be y + -13*(-2)\/(-30). Sort -3, m, -0.4 in descending order.\nAnswer: m, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 9:14 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539 + 571 = 8*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z = -291093 + 287900 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/1112, -0.5 in descending order.\nAnswer: 2\/5, 1\/1112, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/7, -16, 2.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q. Let v be k(-2). Let t be 1\/(-2)*v - 2. Let g(c) = c**2 + 4*c - 3. Let o be g(t). Which is smaller: 6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -8) + -2 - 3) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2031 (base 5) to base 16.\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -5\/2086, 3, 0.4, -0.4?\nAnswer: -5\/2086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6431215?\nAnswer: 5, 7, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*12\/(-27)*6\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149258 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: 4375386 divided by 9\nAnswer: 486154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9*n)**(1\/23)*(n**(2\/7)*n)**(-3\/5))**(1\/5) assuming n is positive.\nAnswer: n**(-271\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**2 + 4 - 7*r**2 + 11 + (-6*r - 6*r + 6*r)*(-r - r + 0*r).\nAnswer: 14*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 51242.\nAnswer: -1\/51242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-133)\/19)\/(((-1)\/(-1))\/(-1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16604 + 16604. Sort -15, -2\/27, v.\nAnswer: -15, -2\/27, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -71. Let a(z) = z + 0*z + 13 - 4*z. What is the tens digit of a(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8840113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2204985, -8819932, -19844829, -35279670, -55124449?\nAnswer: -79379160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 88 = 4*k, -11*r + 75 = -8*r + 3*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 69. Let g be b(9). Solve -g = m - 4*o, -7 = 3*m - 3*o + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 2}. What is prob of picking 2 z and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -147, -557, -981, -1425, -1895, -2397, -2937?\n\"Answer: -p**3 - p**2 - 400*p + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 o when three letters picked without replacement from tiioiioaaoti.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 - a + 2. Let d be o(-2). Let k(j) = j**2 + 4*j + 2. Let u be k(-4). Suppose u*b + 2 + 0 = d. Which is greater: b or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 89 - 20 = u + 4*u - 29, -3*u = -60 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4*(-8)\/2. Suppose -3 + 7 = 4*o. Let p(m) = m**2 + 3. Let f(w) = 1. Let i(h) = k*f(h) + o*p(h). Factor i(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n + 5. Let w(o) = -2*o + 3. Let u(y) = 3*p(y) - 5*w(y). Suppose -3 = -3*g + 3. Calculate u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/738 and -44\/861?\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71839, 289304, 651745, 1159162, 1811555, 2608924, 3551269?\n\"Answer: 72488*a**2 + a - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 z, and 2 a when four letters picked without replacement from {u: 3, a: 3, j: 1, b: 1, f: 4, z: 5}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47*(-52)\/4888*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 43894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 - x. Let r be f(-1). Let l = 56 - r. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131554*y**2 - 1 + 0 + 29*y + 131556*y**2 + 0*y**3 + 4*y**3 - y**4 to the form z + w*y + m*y**3 + p*y**2 + k*y**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278196288?\nAnswer: 2, 3, 79, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q - 2103 - 2104 + 4207 + 34*q - 60*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 17*o + 30.\nAnswer: (o + 2)*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b4695 (base 13) to base 3\nAnswer: 121110120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12 - -6078 - -5) + -1 + 0 + 3 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -432\/5*x + 428\/5 - 8\/5*x**5 - 256*x**2 + 852\/5*x**4 + 88*x**3 = 0.\nAnswer: -1, 1\/2, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a + 26 - 24 - a. What is d(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17)*k*k)\/k**(6\/5)*k**(-19)*(k*k**(-15)*k)\/k*k assuming k is positive.\nAnswer: k**(-241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5, 1, 4, -1702, -79.\nAnswer: -1702, -79, -5, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (262 - 267)*21*-1. Is z < 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2*sqrt(5)*-3)**2 - (sqrt(20)*2 + sqrt(20))*2)*-4*-6.\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15798*t + 15996*t - 32245*t.\nAnswer: -451*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -893 divided by 38461?\nAnswer: -893\/38461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 - -7?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*m - 8 = -2*p, -m = 1. Let r(n) = 88*n + 88*n + 90*n - 264*n. Give r(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 141.5.\nAnswer: -2.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2. Let u(x) = 639*x**2. Calculate u(w(i)).\nAnswer: 5751*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2853 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 4372\nAnswer: -1748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -1. Let y(f) = -f**2 + 0 + 11*f**2 - 3 - g*f + 8. Is y(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59.29307 + 59.3. Round s to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5891260, -5891192, -5891124, -5891056?\nAnswer: -5890988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -324 + 320. Sort p, 3, -1\/15 in descending order.\nAnswer: 3, -1\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5080122ug in milligrams?\nAnswer: 0.0005080122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2. Let k = 155 + -131. Let a(h) = 35*h + k*h - 30*h. Calculate a(i(f)).\nAnswer: 87*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 6240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**16*l)\/l)\/l*l*l*(l*l**(-10\/9)*l)\/l assuming l is positive.\nAnswer: l**(170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/10, 3\/4, -73?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 8*c**2 + 8*c - 17. Let v(b) = -b**2 - 10*b + 2. Let w be v(-11). Let h be r(w). Put 4\/5, 1\/3, h in decreasing order.\nAnswer: 4\/5, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.3 + -18.3. What is the nearest to c in -5, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/44*(1498\/(-12) + 2). Let z = r - 243\/4. Which is the nearest to z? (a) -2\/5 (b) -2\/13 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k**2 - 9*k**2 - 2*k - 1 + 21*k**2. Let t(n) = 3*n**2 - 7*n - 4. Give -14*p(v) + 4*t(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.28, -0.012, -1\/5, -1\/4, 5, 94?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 2*s)*(-1 + 2*s**4 + 1) - 4*s**5 + 3*s**5 + 6*s**5 + (3*s**3 + 0*s**3 - s**3)*(s**2 - 3*s**2 + s**2).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/4)*y*(y*(y*y**31)\/y)\/y assuming y is positive.\nAnswer: y**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -101.3, -2, 1\/2, -7, 1 in descending order.\nAnswer: 1, 1\/2, -5\/4, -2, -7, -101.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 7*r - 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, -2, 1.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22585316 is divided by 7528435.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c**2\/5 + 7239618*c\/5 - 2068464\/5 = 0. What is c?\nAnswer: -344744, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4296.13l to millilitres.\nAnswer: 4296130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 234810805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-6*sqrt(363)*-2 - (0 + 1 + sqrt(363)))*4 + (-3 + sqrt(363) + sqrt(363) + 1 - (sqrt(363)*-3 + sqrt(363) + 0)))**2.\nAnswer: -3168*sqrt(3) + 836361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/1365*-5*(-2535)\/(-130)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368.696 - 0.07167923.\nAnswer: -368.76767923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mipmmojjmimllo. What is prob of sequence llmm?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 4*q, 0*h = -h + 3*q - 4. Sort -2, h, 1 in increasing order.\nAnswer: h, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 14965 + 29744. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 = -3. Find the first derivative of -4*g**3 - 2*g**2 + 12 + 3*g**3 + h*g**2 wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021101 + 0?\nAnswer: 2021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 20*c**2 + 61*c**2 - 41*c**2 - 5658.\nAnswer: c**3 - 5658","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-1)*d*d)**13)**(2\/5) assuming d is positive.\nAnswer: d**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 1. Let p be v(1). Let x be p\/4 - (-60)\/(-16)*2. Let t(u) = -6*u**2 - u. Let y be t(1). Is y at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-2 + 2 - 2)*(1 + 1 + 0 + 0 + 3 - 4 + (-1 + 1 - 1)*(4 - 3 - 4) + 0 + 1 + 0 + 5 - 5 + 5)*(4*v - v + 0*v).\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 83859 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xff when three letters picked without replacement from {x: 2, l: 3, f: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*m + 4 = 0, -4*c - 4*m - 2 = 2. Let h be 1 - (7\/(-4))\/(-1). Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = -29*h - 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eake when four letters picked without replacement from kikiekeakkk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558279.6 rounded to the nearest one thousand?\nAnswer: 6558000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29\/(1595\/66)*(-220)\/(-3). What is the highest common divisor of o and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3049153*h**6 + 72*h**2 + 209545*h?\nAnswer: 365898360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.5 - 36.5. Let t = -22 + 18. Sort t, q, -2\/7 in decreasing order.\nAnswer: -2\/7, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, f: 2, b: 3, a: 3, l: 7}. Give prob of picking 2 b and 2 f.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 36. What is the second derivative of y*h**2 - h - 2*h**4 - 12*h**2 wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3165 - 17b3?\nAnswer: -4948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 33, 61, 93?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(4\/19)))\/x**(-12)*x\/(x\/(x*x\/(x*x*x**(-33)*x)))*x*x*x**(-24) assuming x is positive.\nAnswer: x**(422\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 + 0.03. Let s = -0.26 + 0.46. Which is the closest to s? (a) -3\/4 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-3444)\/24)\/(-41))\/(1\/42). Solve 144 = -3*q + s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4585*o + 41299. Calculate d(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14703, -29406, -44109, -58812, -73515?\n\"Answer: -14703*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -48. Suppose a*w - w = -0*w. Solve r + w + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16333659 - -5693659. What is g rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255918 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Let q = 0 + f. List the prime factors of (10\/8)\/(q\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p. Let x(c) = 51*c - 5 + 49*c - 98*c. Determine s(x(d)).\nAnswer: 4*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + l + 7. Is 27 a factor of o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/861 and -13\/85239?\nAnswer: 85239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 544*c - 10337. Calculate g(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 17*b + 160. Let d be (((-18)\/b)\/3)\/(144\/(-128)). What is the nearest to -7 in d, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123\/20 - 32\/5. Let c = -49 - -52.1. Let g = -3 + c. What is the third smallest value in 4, k, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(153) + (sqrt(153) - sqrt(153)*3 - sqrt(153)) + sqrt(153)))\/(sqrt(27)\/sqrt(3)*4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -5. Suppose 4*q = -7*w + 2*w + 23, 2*q = -4*w + 16. Let a(u) = -s*u**2 - 4 + 3*u**3 - 4*u**w + 0*u**2. Calculate a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*r + 19 = 0, z - 559859 = 2*r - 7*r - 559882 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:47 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 418447415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0749 + 439.0749. Let f = g - 236. Let y = 202.877 - f. Round y to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/173 and 75\/2134.\nAnswer: 369182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -381173\/110 + 3465. Let n = -802205\/99 + 8103. Calculate the common denominator of i and n.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 484*o**3 - 2 - 3*o**2 + o**2 - 239*o**3 + 1 - 247*o**3 + 458*o**4 as p*o**4 + m + s*o**3 + r*o**2 + z*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*p - 7*p - 105 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-1\/2))\/(j**(-1)\/j))\/(j**(-2)\/j)**35 assuming j is positive.\nAnswer: j**(219\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3399 and 18128?\nAnswer: 54384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxd when three letters picked without replacement from {n: 2, k: 8, d: 1, x: 2, g: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4320 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 14. Let x be v(-6). Let f be x - (0 + 1)*1. Let h(w) = 7*w**2 - 2*w + 1. Let d be h(f). Solve -d*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(85)\/sqrt(5) + sqrt(17) - sqrt(17)) + (sqrt(612)*2)**2 - (-1 + sqrt(1377))**2*-6*6.\nAnswer: -647*sqrt(17) + 52054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17484 is divided by 2909?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1 + (-172)\/(-20) - 162\/(-405).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.56 + -1.06. Which is the closest to 2\/5? (a) -1\/9 (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 42 = 5*d. Let l = d + 36. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 5*l - 11*s, 40*l + 41*l - 3 = 79*l - 5*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2773 is divided by 83.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -27 - 10*h - 32 + 58*h + 6. What are the prime factors of o(7)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3703377731681\/5352 + -691961452. Let d = -3\/1784 - f. Calculate the common denominator of d and -131\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 16. Suppose 2*l - 4*o = 6, 4*l + w*o + 3*o = 12. Solve 2 + 1 = -l*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2 - 6*v**2 + 7*v**2 - 1 - v. Suppose 0*h = -2*m + 5*h + 3, -3*m - 2 = -h. Is z(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 763*q + 23. Let a(u) = -9*u**2 - 27. Determine y(a(g)).\nAnswer: -6867*g**2 - 20578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from bjbjbb?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.199 - -2247072100\nAnswer: 2247072099.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-2)\/((6 + 14)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4814900 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 + -10 + 5)\/(2\/(-4)). Let h(d) = -5*d - 30. Let b be h(n). Suppose b + 125 = 3*k. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/u**7)*u**10)**(-3\/8) assuming u is positive.\nAnswer: u**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1250 (base 9) to base 2.\nAnswer: -1110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25774445 divided by 205?\nAnswer: -125729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -61*v**2 - 1118*v + 5578. Calculate z(5).\nAnswer: -1537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/7*i**3 - 3\/7*i - i**2 - 1\/7*i**4 + 0.\nAnswer: -i*(i + 1)**2*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 33. Let n(b) = -6*b**3 - 2*b**2 + 11*b - 11. Let t(p) = 2*p**3 + p**2 - 4*p + 4. Determine q*t(l) + 4*n(l).\nAnswer: -2*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*(-4)\/(-6) - -248. Let l = z + -245. Which is the third biggest value? (a) 2 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 + d**2 + 4*d**2. Let p(w) = 2. Let x(r) = -356*r + 356*r - 102 + 17*r**2. Let h(k) = 51*p(k) + x(k). Give s(h(c)).\nAnswer: 578*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 192 = 54*t + 29 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1485*k - 151. Let j = 390 + -380. Is i(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c - 9. Let g(s) = 9*s - 17. Let v(x) = 7*f(x) - 4*g(x). Let w be v(0). Calculate the highest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 48. Give h(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 72359587\nAnswer: -72359586.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v - 1. Let k be q(1). Let p be (k\/10)\/(30\/(-100)). What is the second derivative of -8*s + s**2 + 2*s**4 - s**p - s**2 wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4081*i + 1051*i + 4596*i as h*i + o and give h.\nAnswer: 9728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4470179 and 424.\nAnswer: 35761432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -0.3, -7, -1\/3, -0.489 in descending order.\nAnswer: 4, -0.3, -1\/3, -0.489, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 74 + 145 + 53474*d.\nAnswer: 53474*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (379 - n + 2*n - 382)*(-1 + 0 + 2) in the form o + w*n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + -5 + (-1 - (1 + -48)). Calculate the greatest common divisor of 196 and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 3, -2, -6 in decreasing order.\nAnswer: 10, 3, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11\/z)**(-25) assuming z is positive.\nAnswer: z**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(8 - 5) + 6. Suppose 0*y + 240 = i*y. Let j = 324 + y. Is j a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 81560543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29648 and 26384?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h + 1. Let a(r) = 3*r - 3*r - 12 - 3*r. Let d be (2 + -10)\/((7 - 6) + 1). Let b be a(d). What is q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51375*f*k**4 - 12*f*k**2 - 2*f + 334 wrt k.\nAnswer: 1233000*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25156 and -0.2.\nAnswer: 5031.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 + 7*p**2 - 16*p - 2. Is w(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((28\/(-24))\/(-7)). Let v be z + 1 + -2 + (-2)\/(-2). Solve -5 + v = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-108)\/(-72))\/((-5)\/(-10)). Suppose -5*z = -5*h - 3 - 2, 0 = 2*h + 5*z - 5. Solve -j*q - 3 - 3 = h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1480, -1484, -1488, -1492, -1496?\nAnswer: -1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*u + 113*u - 8865. Let n = -3907\/4 + u. Which is smaller: -1\/8 or n?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 1\/4 (c) 8054.74 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 82 = 4*b, 0*b - 4*b = -3*o - 79. Let v(j) = j**2 - 14*j - 50. Is v(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 176*i = 178*i - 8, -5*i - 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 13 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 20*r**2 - 6*r**2 + 24.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 344100.24552 - -777.\nAnswer: 344877.24552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, -5, 3\/7, -429, 0, 2\/7, -105.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Suppose 2*o + f = o. List the prime factors of (-1)\/(o\/6) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 112682308.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 2*u - 10, -s = -u + s - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4 = 2*w. Calculate the smallest common multiple of w and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tao when three letters picked without replacement from {a: 1, o: 12, t: 1, e: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 10*h**2 - 8*h + 6. Give o(7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*a = -10, 2128*l = 2133*l + 5*a + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 13. Let o(x) = -5*x + 3. Let b be o(-3). Let y be h(b). Suppose 0 = 11*l - y*l - 12. Solve -5*q - 3 = l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1130 and 1280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - n = -4*n - 2228, 3352 = -3*p - 2*n. Round p to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/43 (b) 3 (c) -0.112 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24423320 (base 6) in base 10?\nAnswer: 780960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 501668 + -14?\nAnswer: 501654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 2*l**2 - 2*l**2 + 1604*l**3.\nAnswer: 1604*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 7. Let o be j(-3). Suppose o*d - z = 6 - 126, 4*d + 108 = -2*z. Let s = d - -32. Sort -4, s, 4 in ascending order.\nAnswer: -4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 304*s - 6. Let z(u) = 7*u**2 + 8*u + 2. Let c(w) = -11*w**2 - 12*w - 3. Let o(i) = 2*c(i) + 3*z(i). Give a(o(f)).\nAnswer: -304*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*m - 25. Let f be ((-7)\/m)\/(3\/351). Let r = f + -29. Solve -3*j - 4*c - 19 = -2*c, -2*c = r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, -1\/23, 4 in ascending order.\nAnswer: -17, -1\/23, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 5*q + 5, q - 2843 = n - q - 2844 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - i**2 + i. Let r be a(0). Suppose 4*f - 3*f - 1 = r. Let o(x) be the second derivative of x**5\/10 + x**4\/6 - x**3\/6 + x. Give o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 10*j - 17*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 12:42 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m = 26*m + 792. Suppose 0 = 3*g + d - 11 - 28, 5*d = -g + 27. What is the highest common factor of m and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 12*c**2 + 14*c + 37. Let g be r(-13). Let o be -104 - (4\/10 - g\/(-15)). Let p = 319\/3 + o. Sort 27, 2\/9, p.\nAnswer: 2\/9, p, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -50*h - 6858. What is v(-137)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31287 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 - 4 - -7. Solve 0 = 2*b, -4*b = 5*g + b + o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383639418 to the power of 1\/2, to the nearest integer?\nAnswer: 19587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -2, 1\/11, -0.40242?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 588.9697 - 589. Let s = 10.03 + -10. Let q = s + t. What is q rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 106*x. Let g(s) = -4*s**2. Calculate j(g(n)).\nAnswer: -424*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 345*s - 344*s - 9 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 225429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 218650000 to the nearest 1000000.\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 7*n**2\/3 - 1784*n\/3 + 21980 = 0.\nAnswer: 314\/7, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = 3*p. Suppose -8*c + 3 = -p. What is the least common multiple of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(5))\/sqrt(12)*-5 - (sqrt(242) + -2 + 0).\nAnswer: -16*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*p + 12, -32*p + 2*i = -28*p. Which is the third smallest value? (a) 0.07 (b) p (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -185, -184, -183, -182, -181, -180?\n\"Answer: u - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 80*w**3 - 70*w**2 + 80*w + 75.\nAnswer: -5*(w - 1)*(w + 1)**2*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d**2 - 4*d + 2. Let k be i(-2). Let f(u) = -u**3 + 5*u**2 + 8*u - 8. Determine f(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179.09999281 - 179.1. Round j to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -47*x**2 - 142*x - 3. Let w be g(-3). Solve w = -168*r + 173*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 16*m**2 + 27*m - 289. What is v(17)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/2 (b) -0.1 (c) -37\/2 (d) 1 (e) -2 (f) 0.36 (g) 16\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - u - 2*u + 0*u - 4*u + 7*u - 3*u + 0 + 0 + u + 3*u - 5*u + (1 - 6 + 4)*(u - 4*u + 5*u) + (5*u - 6*u + 0*u)*(0 - 1 + 2).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40\/7? (a) 3 (b) 2 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -16*a**4 - 12*a**3 + 4*a**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5526 + 5540. What is the remainder when -15*(52\/6)\/(-2) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 9*i - 5. What is r(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r + 266 = -3*m, -5*r + 1330 = -2*m. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0348707164 plus 1.5025?\nAnswer: 1.5373707164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -2*s + 12*o - 14*o, 5*o + 359 = 4*s. Suppose 28 = 103*m - s*m. Solve -28 = 6*n - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*j)\/j**0)**(-1\/55)*((j\/(j**(2\/5)\/j))**(-35))**30 assuming j is positive.\nAnswer: j**(-18481\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 38. Let d be 1\/(2\/16*2). Find the first derivative of -2*u**3 + 0*u - 2 + d*u**k + 0*u wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*4\/12 - (6 + -7). Let u = 2 + 1. Suppose -8 = -5*k + u*k. What is the nearest to d in 5, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003527 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -323039013709513?\nAnswer: 323039013709512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 139 = -5*y - 330, 3*y - 429 = -3*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 12*m + 16. Let x be t(13). Solve -x*v + 4*p - 4 = 2*v, -p + 1 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3936.7 and 2.\nAnswer: 7873.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 1 - 13. Suppose i*v - 75 = -0*o - o, -3*v = 4*o - 100. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d (base 16) in base 7?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 512173 + -348273. Round r to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19361839?\nAnswer: 7, 2765977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337510 is divided by 225.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -123152 divided by -688\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 5*j - 3. Let i be o(3). Suppose 0 = -s - i*s. Suppose s*y - 5*y = 0. Solve -12 = -5*l + 3*q, y*l + 3*q = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**7\/1260 - u**4\/8 - 11*u**2. Let i(p) be the second derivative of n(p). Let t(m) = 2*m - 3*m + 0*m + 9*m. What is i(t(s))?\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t**2 + 22*t - 88. Give y(4).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 16, 4*w - 2*h - 376 = -4*h. 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: Sort -5, -2, -4, 4.\nAnswer: -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*t - 10, 4*p - t = p - 2. Suppose 0 = -u - p - 4. Calculate the common denominator of 31\/8 and 162\/60 + u + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + 25) - (54 - (51 + 7)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + 9) - -8) + 2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -1 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -106, -1, -4, 1.\nAnswer: -106, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 2*z + 1. Let v(d) = d - 4*d**2 - 1 + 0 - 3*d. Suppose 0 = -2*y - 22 + 10. Let p = y + 0. What is p*m(l) - 5*v(l)?\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*t + 11*t + 15. What is the second derivative of 8*h + h**t + 5*h**2 - 5*h**2 + 6*h**3 wrt h?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6\/b)\/(b\/(((b**(12\/11)\/b)\/b)\/b)))\/(b**0*b*b)**(5\/7) assuming b is positive.\nAnswer: b**(51\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 173. Let k be (-6)\/10 - h\/(-30). Let w(f) = -f**2 + 3. Determine w(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6029 - 6026. Sort l, 2\/3, -0.3, 5, 1.\nAnswer: -0.3, 2\/3, 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6968733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y = 50. Let o = -6 - y. Solve -3*c + 2 + 9 = -4*v, 0 = -4*c - o*v - 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35\/15 - 2 - 6081\/(-9) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 29, 62, 117, 200, 317, 474, 677?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -1\/19, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -4.6. Which is the second smallest value? (a) 0.02 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(243) + sqrt(27))\/(sqrt(576) + sqrt(576)*-1 + sqrt(9)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26151 and 4002?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnnntgpnnnt. What is prob of picking 2 n?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let o be (-20)\/15*6\/(-2). Let d(f) = f. Let i(r) = 4*r. Let w(q) = -5*d(q) + i(q). Determine o*v(s) - 3*w(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.297 rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-20)*10\/4*(-10)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 595.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 2*p - 5. Let x be t(-4). What is the second derivative of z + 18 - 5*z**x - 18 wrt z?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -15*x**2 + 137 - 138 - 6*x**2 - 3*x**2 - 10*x**3 + 25*x**4 + 10*x = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 6*y + 12. Let v be u(-7). Put -0.1, v, -3 in increasing order.\nAnswer: -3, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 118*d - 536. Calculate r(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 137 and -3492?\nAnswer: -478404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 2. Let k = 13 + o. Let q = k + -5.05. Round q to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1496073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116625341 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 5*t + 4*q, -3*t = 5*q - 188 + 40. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5 + 511*l**4 + 11365*l**3 + 68993*l**2 + 89930*l - 170800 = 0.\nAnswer: -488, -14, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11692567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315 and 252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7624685 to three decimal places.\nAnswer: -3.762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68622 and 0.05438.\nAnswer: 3731.66436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*a**2 + 353*a**2 - 26*a**2 - 83*a**2.\nAnswer: 382*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:05 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 1\/60*q**5 + 0*q**3 + 0*q - 9*q**2 + 0 - 1\/24*q**4. What is u in p(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:48 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 225*g**2. Let b(a) be the second derivative of -2*a**4\/3 - 131*a + 4. Calculate f(b(q)).\nAnswer: 14400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-218)\/(-9))\/(0 - -4) - 0 and -73\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**7\/21 - m**5\/6 - 18*m**2. What is the third derivative of w(x) wrt x?\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -1 + 13. Suppose 9 = f*m - 3, -x + 4*m = 12. Solve -x + 7 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 15. Let l(t) = 5. Calculate 11*l(q) + 4*w(q).\nAnswer: -4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 1, r: 2, e: 3, m: 5}. What is prob of picking 1 w, 1 s, and 1 m?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -6382.8476\nAnswer: -3191.4238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3))**(2\/7)*(w\/(w**6\/w)*w)**(7\/6) assuming w is positive.\nAnswer: w**(-139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 - (3 + -1 + 0). Suppose 0 = -4*l - 5*m - 31, 3*m - 45 = l - g. Does 10 divide (-326)\/l + 4\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011112 (base 3) to base 9.\nAnswer: -1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p + 460 - 104*p + 461 - 13*p - 934 as c + r*p and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -1680939\nAnswer: -8404695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b8 - -1a03a?\nAnswer: 1a325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122461.\nAnswer: 151, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 1. Let o be p(-2). Let h be 2\/(-7)*o\/9. Is 0 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 14) + -2 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -91. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51017*m + 25501*m = -25466*m + 900 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6*-3 - 1. Let b be -4*6\/(-560)*-10. Put -1\/7, t, -0.1, b in increasing order.\nAnswer: t, b, -1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/292042 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:40 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:42 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-32))**(-1\/2) assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(2*(-15)\/240).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-3)\/(-18)*3. Suppose r = 3*d - 4*d + 2. What is the third derivative of -a**d + a**2 - a**2 - 2*a**3 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2)*-1 + 6. Is 16 a factor of (-3)\/6 - (-66)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvvvvvuvvsvus. Give prob of sequence vvss.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = -k, -k = k. Suppose j - 264 = m*o + 68, -j = -3*o - 335. Is j 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? (a) 0.4 (b) -2 (c) -38 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/1080*-9)\/(1\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 20*o - 13. Let a be t(-19). Suppose 3*z + 396 = a*z. Suppose 2*c + 3*h = -c + 129, -4*c + 4*h = -z. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6338 = 2*s - 3*q, 5*s + 2*q + 0*q - 15807 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 75 = -90. What is the units digit of (f\/40*-268)\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 22752?\nAnswer: 22750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k + 13. Determine u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -29936501654.\nAnswer: -29936501653.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 37 = -22, -2*g = 6*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -26. Calculate the remainder when 2 - (-2)\/((-4)\/(-34)) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/180 + k**5\/10 - k**4\/8 + 2*k**2. Let x(n) be the second derivative of j(n). Does 20 divide x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171 - 79. Let t = 92.094 - h. Let s = -8.706 - t. Round s to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 4, m: 6, a: 1, s: 4, b: 1}. What is prob of picking 1 b, 1 c, and 1 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/20*15\/6. Suppose i = -2*b - 0*b. Let u be 1\/(b\/(1\/1)). Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 9*t. Let u be p(9). Suppose u = 6*j - 3*j + 3. Sort j, 2, 3 in decreasing order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*x = 3 - 9, -2*x = -3*l + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 1\/24*a**3 + 6*a**2 + 0 - 1\/120*a**6 + 0*a + 1\/40*a**5 + 1\/840*a**7 - 1\/24*a**4. Factor g(c).\nAnswer: (c - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422640 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 + 990\/4. Suppose 112*y - 81*y = -2387. Let p = y + c. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 2. Let y be f(4). Suppose -3 = -y*l + 5*d, -11 = -l - 3*d + 7. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 11*x + 413. Determine f(-26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1641.\nAnswer: -1\/1641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 8*f - 6. Suppose 0 = -3*u + 4*r - 16, -3*r - 20 = 3*u + 10. Let l be q(u). Let k(s) = 8*s - 2. Let b(o) = 7*o - 2. Determine l*k(t) + 7*b(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 14453?\nAnswer: -14453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18117749*g**3 - 2*g**2 - 666626*g - 13 wrt g.\nAnswer: 108706494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24944142 is divided by 9740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 0 = -4, 4*x = -3*p - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5\/190 + 11*h**4\/114 - 31*h**3\/57 + 21*h**2\/19 - 2*h - 121. Solve p(b) = 0.\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 2*r + 2. Let q(v) = 2*v**2 + 3*v - 3. Let s(m) = -3*n(m) - 2*q(m). Let g(z) = 2*z. What is s(g(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5397710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(11\/(88\/(-8))). Solve 0 = p + 5*f + 18, -5*f + k*f = -4*p + 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)*v*v**(4\/7))\/(v**(2\/7)\/v)**(-6\/35))\/((v**(2\/5))**2\/((v**5*v)\/((v*v\/((v**(-1)*v)\/v))\/v))) assuming v is positive.\nAnswer: v**(1209\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128010 less than -1?\nAnswer: -128011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167692.\nAnswer: 2, 291923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n. Suppose 193*j - 2828 - 2383 = 0. Let a(r) = 0 + 48*r + 0. Suppose -5 = -2*h + 3. Calculate h*a(u) + j*q(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1421 - 1220. Calculate the remainder when y is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59922089 is divided by 29961040.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 6*y**2 - 8*y - 1. What is b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64242967*h**2*p**3 + 5*h*p - h - 44*p**3 - 203*p wrt h.\nAnswer: 128485934*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48711.51l to millilitres.\nAnswer: 48711510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (6 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 69996 - 69996.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 4:35 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-9 + 0 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1016904)\/(-120) - 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 27 + 11 = 0. Calculate the common denominator of -21\/4 and 3\/4*12\/z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67\/310 - 301123\/1240. Let h = -243 - r. What is the biggest value in -1\/2, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/5 - 4*y**3\/5 + 22*y**2\/5 + 4*y\/5 - 21\/5 = 0?\nAnswer: -7, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008742*k - 1189 = 1008701*k for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 + 421\/3. Let y = 2.6 + 0.4. Let h = -4.9 - 0.1. Which is the second biggest value? (a) v (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8*-6 + 24. Suppose g*f = 23*f. Factor -652 + 2*v**4 - 4*v**3 + f*v + 650 + 4*v.\nAnswer: 2*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t. Let x(k) = -143598465*k**2. Calculate g(x(l)).\nAnswer: -287196930*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28912 and 8?\nAnswer: 28912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -4116 = -4115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*i**2 + 66*i**2 + 2 - 22*i**2 - 15*i**2 + 5 + 38*i as t*i**2 + q*i + d and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 29.59 (b) -12 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - ((-2 - -6) + -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 7*u**2 + 10*u + 4. Let l be r(-8). What is the common denominator of -4\/9 and ((-2)\/l)\/((-2)\/(-114))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1108965?\nAnswer: -1108965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2. Suppose -a*m - 9 = -5*m. Differentiate -5 + 6 - 3*p**m + 0 - 2*p**3 with respect to p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/11 + (-62)\/341\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 37, 39?\n\"Answer: 2*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -3*m + 24. Calculate the remainder when (-2385)\/(-39) - (-1)\/m*2 is divided by 3\/(-9) + (-97)\/(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111120201020000 (base 3) to base 14\nAnswer: -d5c66b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**2 - 529*q - 523*q + 1039*q.\nAnswer: 28*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose z*u + 36 = 5*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*j - 3*j**4 - 94*j)*(-399*j + 235*j + 2 + 242*j) + 3*j**5 - 2*j**5 + 4*j**3 - 7*j**3.\nAnswer: -233*j**5 - 6*j**4 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221990.79786 - -0.328.\nAnswer: -221990.46986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 354\/(-5) - 6\/30. Let j = 499\/7 + m. Let k be (-14)\/(-42) - 22\/30. What is the smallest value in j, 2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - 305?\nAnswer: -31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1977*d**3 + 7*d**2 - 6*d - 3765. Let n(j) = 1982*j**3 + 6*j**2 - 5*j - 3763. Let q(c) = 6*n(c) - 5*s(c). What is the derivative of q(h) wrt h?\nAnswer: 6021*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 70 = v, -5*a + 2063 = -2*v + 2098 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14047 - 14228. Suppose -656 = -2*l - 2*p, 0 = -2*l + 7*l - 2*p - 1668. Let j = o + l. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k. Suppose 0 = 8*r - 11*r - 51. Let u = r - -24. Let q(d) = -4*d. Let l(h) = u*q(h) - 2*f(h). Let n(m) = 4*m**2. What is n(l(t))?\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -58 (b) 13 (c) -23 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 691255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by 573.\nAnswer: -17\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from bppppppjpjbpjjpbbjp?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {i: 11, e: 1, z: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27588202 and 0.6872061.\nAnswer: 27588202.6872061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and 427.4.\nAnswer: 426.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13411421*f**3*j - 2454059*f**3 wrt j.\nAnswer: 13411421*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 358637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 413809, 413817, 413839, 413881, 413949, 414049, 414187, 414369?\n\"Answer: a**3 + a**2 - 2*a + 413809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/12 + (-5)\/(-6). Sort -5, d, -2 in increasing order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -467095773*c**2*h + 13603*c*h - 1274*h wrt c.\nAnswer: -934191546*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9731*16181\nAnswer: -157457311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 30\/31 (b) -12 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/24*2). What is the second derivative of c*n**5 - 3*n**5 - 7*n - 3*n wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.345389666 plus -0.2?\nAnswer: 96.145389666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 3*p**2 + p**2)*(-2 - 2 + 1)*(-2 + 2 - 2)*(4*p - 1 + 1).\nAnswer: -96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002700 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 3\/2 (c) -1\/3 (d) -356.1 (e) 5 (f) 33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 564 - 2606a3?\nAnswer: -26013b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-36)\/(-90))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*i = 1228870, -3*i - 737322 = 4*t - 7*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 110 = -5*c, -3*p + 4*p + 5*c = 10. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 339*n**5 + 123*n + 1 wrt n.\nAnswer: 6780*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x + 4*o - 4, 4*o = 4. Let c(v) = v + 3. Let w be c(x). What is the derivative of -1 + z**2 + z**2 - w wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:13 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 4*f - 3. Let w be m(3). Let q be (-8)\/2 - w - 8. Let r be 4\/(-2)*1 - (7 + q). Solve j = -2*c, 2*j - 9 = -r*j - c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 18*w + 20 = 2*z, 3*w + 6 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1885*f - 4. Let b be p(-4). Let o = b + 4084. Round o to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 8 - 36)*(5 + 1 - 1)*(3*d**5 + 2*d**5 - 6*d**5).\nAnswer: 290*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Suppose s*p = -3*c + c + 12, -5*p + 5*c + 45 = 0. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3817542t to nanograms.\nAnswer: 381754200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2739 - 2549. Do -0.2 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiv when three letters picked without replacement from aijixxvijji.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - (-8 + 0))\/(2\/8). Suppose 11*l - 12 = c*l. Suppose -5*j + 222 = l*f, 4*f - 42 = -j + 2*f. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 13*u**2 + 13*u - 4. Let a be b(-12). Calculate the least common multiple of 11 and -10 - a - (-2)\/1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let h(k) = -431*k. Determine u(h(q)).\nAnswer: 431*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 1\/7, -2\/9, 1 in ascending order.\nAnswer: -2\/9, 1\/7, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*b + 12*b - 633 = 711 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178460671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 156 + 1982123*u**2 - 1982113*u**2 + 5*u - 2*u - 3*u in the form r*u**2 + j*u + k and give k.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 4*n + 108. Determine a(-26).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/273*(-182)\/12 and -31\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -3\/4, -14, -6197\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from dosodsgdssossgoss?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i. Let h be (-3)\/(-6) - 30\/(-4). Suppose 4*y - h = 0, 5*y - 3 = 4*a + 7. Let l(g) = 0 + a + g**2. Give l(m(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - 17. Suppose -3*r + w = 5. Let s be 14\/8 + (-3)\/4. Solve r*z - c = s, 2*z = -3*c - 0*c - 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10 and 59\/12877380.\nAnswer: 12877380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5494309027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1650 = -2*w. Round w to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 171. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9052957 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922146 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158 and 632.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x**3 - x**2 + x + 2. Let y be s(-1). Let r(z) = z**3 + 4*z**2 - 5*z. Let n be r(-5). Let v be (n - -2)*y\/9. Which is smaller: v or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*h - 4*h, -4 = -2*h - 4*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 913896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**5 - 1399814*m**4 + 36*m**2 - 511405968*m wrt m.\nAnswer: 40*m**3 - 16797768*m**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**3 - 240*u**2 - 3580*u - 15840 = 0. Calculate u.\nAnswer: -22, -18, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.422994ng in micrograms?\nAnswer: 0.005422994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:01 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v\/(v*v*(v**(-3\/4)*v)\/v))\/v)\/v)\/v)\/(v*v**1*v)*((v*v*v\/(((v**(-32)\/v)\/v*v*v)\/v*v))\/v)\/v*v*((v\/v**(-18\/5))\/v)\/v*v assuming v is positive.\nAnswer: v**(647\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-569 - -563) + (0 - 0) + 43 - -11\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -51. Let k = 8282 - 8281.5. What is the third biggest value in k, -1, l, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12026047*m**3 + 16768*m**2 + 172*m?\nAnswer: -72156282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129.24769159413 + 0.24769098413. Let o = -129 - b. Round o to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 8 = 0. Let b = 95 - 93. What is the second derivative of 2*m**5 + 3*m + b*m**5 - 3*m - l*m wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 803.\nAnswer: 35\/803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2108, 2575, 3006, 3401, 3760, 4083?\n\"Answer: -18*n**2 + 521*n + 1605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 59258.59m?\nAnswer: 59.25859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcci when four letters picked without replacement from miccmwccmw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, w: 5, j: 3}. What is prob of picking 2 w and 1 j?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 10 + 8. Let k be ((-6331)\/78)\/(v\/(-12)). Suppose -4*r = -k - 105. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z**2 + 6*z + 5. Let n be (120\/36)\/(2\/3). Suppose 2*y = f + 11, -5*y + 0*f = -2*f - 26. What is the lowest common multiple of y and d(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3952 by -22.\nAnswer: 1976\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 - 23*i + 142)*(2*i**3 - 1 + 1).\nAnswer: -46*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13995058, 27990114, 41985172, 55980232, 69975294?\n\"Answer: t**2 + 13995053*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j = 71*j - 4484 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -184.5*-0.3\nAnswer: 55.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2473541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 263446 a multiple of 839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 6047181 and 6047198 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (186 + 304 + 252)*(-2*r - 4 + 4)*(8 - 2 + 16 - 2) to y + q*r and give q.\nAnswer: -29680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 7*y**2 - 7*y - 8. Determine n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-three halves of a day?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + r - 650, 2*k + k = r + 646. Calculate the greatest common divisor of 54 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-9)\/(-12))\/((-9)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5)*(-468)\/32. Let j = -802 - -3233\/4. Let i = g - j. Which is the nearest to -2\/9? (a) i (b) 2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5048 is divided by 133.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 109244, 218889, 328534, 438179?\n\"Answer: 109645*t - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jdpjjdjjdpjpjjpj?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 - 443661*i**2 - 24604496280*i - 12302137225 = 0?\nAnswer: -110915, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*i - 14 = 0, -18 = 3*i - i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*62\/(-18848)*-1634?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4669860 divided by -20.\nAnswer: 233493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c + 4 + 2*c + c. Let a(y) = -5*y - 2. What is -7*a(n) - 4*m(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4 - 2 - 7*w + 0 - w**2. Let l be s(-5). Solve 24 = -4*q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13533*a**2 - 27009*a**2 + 13504*a**2.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 495 and 2.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863754194.\nAnswer: 2, 431877097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(0 - (-2)\/87). Let d = k - -86\/203. Which is the closest to 0.2? (a) 0.5 (b) d (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 620*x\/3 - 48050\/3.\nAnswer: -2*(x + 155)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 562\/2849 + 36\/407. Factor 104\/7*b + 36\/7*b**2 - 2\/7*b**3 - x*b**4 + 80\/7.\nAnswer: -2*(b - 5)*(b + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -23*r + 52. Let x(d) = 142*d - 329. Let i(q) = -38*l(q) - 6*x(q). Let b(v) = 14*v - 2. Give i(b(n)).\nAnswer: 308*n - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -7.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(5) + -1 + sqrt(5) + 5)**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(19) + sqrt(19) + -1*sqrt(19))*1 - (-4 + (sqrt(19) - sqrt(57)\/sqrt(3)))) + -4 + -6*-1*sqrt(38)\/sqrt(2))**2.\nAnswer: 480*sqrt(19) + 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4\/5)\/s*s)\/s)**8)**1 assuming s is positive.\nAnswer: s**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88865392223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v**4\/13 + 1516*v**3\/13 + 11474*v**2\/13 - 65844*v\/13 + 52848\/13 = 0. What is v?\nAnswer: -734\/3, -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3312490*k**3 + 4*k**2 - 3312488*k**3 - 4*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:52 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 3*c + 19 = -9*p, 3*p = c + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.860092l?\nAnswer: 5860.092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 15*s. Let b be y(-7). Suppose 0 = j - b - 321. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 449.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*o - 6 - 13, 2*r + o = 7. Let b(d) = 23*d**2 - 2*d - 1. Let m be b(3). Suppose m = x + r*x. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -5*h - 4*b, h + 5*b - 30 = 4*b. What is the derivative of 21*j + h + 31 - 86 wrt j?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.05, -0.0987?\nAnswer: -0.0987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = -2*i, 43 + 8 = -4*i - 3*a. Suppose 4 = p + 4*b - 3, 0 = 2*b - 2. Let d be p + (i - -4) + 5. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 3*v)*(-3*v**2 + v**2 + v**2).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**3 + 2*d**3 + d**2 + 36*d - 36*d. Let k(w) = 3*w**3 - 9*w**2 + 5*w + 3. Let z(n) = -k(n) - 2*m(n). What is z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 27 = -3*j, x = 6*x - 3*j - 37. Suppose -7*l = -3*l - x. Solve -3*n = -l*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115348 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 47, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -865, -878, -895, -916, -941?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b = -110*i + 114*i - 882 - 2410, -2*b + 4*i = 176 for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34865098978 - 1?\nAnswer: -34865098979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raqq when four letters picked without replacement from {q: 6, g: 1, a: 6, r: 6}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 607 + -24. Suppose 4*f + q = -3*i - 1108, 2*f - i = -853. Let g = f - -918. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.124 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2 + 378384*c = 0?\nAnswer: 0, 94596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 89*o**3 + 2*o + 178. Let t(v) = -265*v**3 - 7*v - 535. Let d(u) = 7*j(u) + 2*t(u). Differentiate d(x) wrt x.\nAnswer: 279*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1245 + -3?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 6, s: 6, p: 7}. What is prob of sequence syp?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(10\/11 + -1). Let r(p) = 2*p**2 - 2*p - 9. Let c be r(-2). Let g = v + c. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 0, 5339, 5, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 - 8290*f**4 + 2538350*f**3 + 754769920*f**2 + 30280601125*f + 330416706250 = 0. Calculate f.\nAnswer: -146, -23, 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + 268\/48 + 1 - 2 and 101\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*2*-6 - sqrt(104))*-1)\/((sqrt(80)\/(sqrt(2) - sqrt(2)*-2))\/sqrt(5)).\nAnswer: 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 71*a - 17*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 57*n**2 - 3523*n + 38168. Determine i(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5*38.971521\nAnswer: 194.857605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626 < 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 1060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*o - 306, -2*o + 128 = -0*a + 4*a. What is the remainder when o is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 3\/4, -2, 1\/1469, -3, -0.5?\nAnswer: 1\/1469","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 6. Determine y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(-t**2 - 6*t**2 + 4*t**2) - 5*t**2 + t - t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2364\/(-90) - -28 - 20\/6.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 182158*z**2 - 33175342725*z\/2 - 564191420625.\nAnswer: -(z - 182175)**2*(z + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-195)\/(-35) - (-8)\/(-14). Suppose 632 = n*y + 3*v, -y + 3*v - 17 + 129 = 0. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -23 + 11 + 34 + 5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 319116108433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 26. Let t = 20 - m. Which is the second biggest value? (a) t (b) 1\/5 (c) 0 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2126, 4270, 6468, 8750, 11146, 13686?\nAnswer: 16400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 231982\/8 + (-1045)\/76 + 13. Round t to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 176?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11223)\/(-15312) + 3\/(-16)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85335571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b - 1. Let m = 10 - 13. List the prime factors of u(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1645 and -1645 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3030.39 + 3047. Let g = -0.71 + o. Let z = g + -16. What is the biggest value in 7\/2, -2, z?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 9. Determine i(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -4.\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 10692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*i**3 + 2*g**3*i**2 - 405*g**3 - 3*g**2*i + 8540*g*i**2 wrt i.\nAnswer: -6*g**3*i + 4*g**3 + 17080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 72. Suppose 2*i + 31 = 5*o, 5 = -o - 5*i - 5. Suppose 4*m = b + 1775 - 716, -o*m + 1314 = 2*b. What is the highest common factor of d and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178151 - 12510 = 7*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*48\/(-36))\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 859*v + 163*v**3 - 252 - 859*v + 41*v**3 with respect to v.\nAnswer: 612*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = -4, 0 = 3*u - 2*b - 16. Solve 0 = c + u*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 42, 111, 218, 363?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*q + 424*i**2*q**3 - 2*i*q + 4*q**3 - 38*q wrt i.\nAnswer: -6*i*q + 848*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*u + 750 = -77*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 8*r**5\/5 + 39*r**4\/2 + 116*r**3\/3 - 129*r**2 + 56*r - 218. Let b(y) = 0. Calculate y.\nAnswer: -7, -4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.038 to 1 dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55116350?\nAnswer: 2, 5, 337, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = -46*z - 107 - 94 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqqwaaqqawa. What is prob of picking 3 w and 1 a?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40551135 - 31?\nAnswer: -40551210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6bc6d (base 15) in base 8?\nAnswer: -1237176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 2:25 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z**2 - 108*z**2 + z - z + 234*z**2 - 92*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -769, -1536, -2303?\n\"Answer: -767*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/70)\/1*-7. Let m be 2\/10 + 87\/15. Solve 6 = -4*g + a*p, 2*p + 17 = -3*g + m*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 5, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212 and 412646?\nAnswer: 43740476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7544684 and 13216.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x - 3*y + 22, -5*x + 2*y + 74 = 0. Let v be ((-4)\/(-14))\/(2\/x). Solve -f = -v*f + 2*u - 8, -5*f - 5*u + 35 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 35*j + 173584 = 29*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 264775.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3192 = -5*w - 2*k + 3*k, 5*w + 4*k = 3182. Does 29 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/18*169*18\/(-351)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223548*u**4 + 449570*u**2 wrt u?\nAnswer: 5365152*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -77\/6. Let s(p) be the first derivative of 4\/9*p**3 + 0*p + 1\/3*p**2 + k*p**4 - 2. Let s(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 95, 96?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1763 (b) 6 (c) 5\/3 (d) 0.39 (e) -4 (f) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00158738 to 5 decimal places.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 7*g**2 + 3*g - 5. Let h be m(5). Suppose h = -0*j + 2*j + 4*o, -o = 5*j - 123. What is the greatest common divisor of j and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 25*r - 2*u - 33894, r - 3*u - 8466 = 0. What are the prime factors of r?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + (-26 + 15 - (0 + -7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 + 7. Sort -3\/7, d, 3 in decreasing order.\nAnswer: 3, d, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 119?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + -d856?\nAnswer: -d874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 232583 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 858813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -0.5, -2\/5.\nAnswer: -0.5, -2\/5, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093900 rounded to the nearest 10000?\nAnswer: 3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*o**2 + 25*o**2 + 5*o**3 + (2*o + 0*o - 6*o)*(0 + 0 - o**2))*(12*o + 3*o - 3*o).\nAnswer: 108*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/7546 and -179\/10290.\nAnswer: 113190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 - (-1)\/2*-274. Let x = k + 118. Which is smaller: -19 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.8044651 months?\nAnswer: 0.0233705425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**2\/2 - 1. Let t be ((-8)\/20)\/(1\/(-85)). Let w(v) = 17*v**2 - 41*v**2 + t*v**2. Give w(j(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = s - 4*n - 271, -3*n - 18 = 0. Solve -s*f = -167*f + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58676*f + 1852 - 8772 - 54174*f - 3385 with respect to f.\nAnswer: 4502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24692800 by -5612.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 7 = -25 - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.27 (b) -1 (c) 1\/108 (d) 2 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0172553 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 270 * -229090.\nAnswer: -61854300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96926*s - 6 = -48469*s - 48460*s - 12*t, -10 = -5*s - 2*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4 = 2*w, 4*d + 3*w - 11 = 2*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 1826 = 160. Let l = 3 - t. What is the least common multiple of 8 and l?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 981 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 307 - -224?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 8*z + 18 = 0. Suppose -3*h = -z - 66. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115 - -54?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*k - 19*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1738484822 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257014221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/5219246 and 21\/856?\nAnswer: 20876984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u + 41 - 17 = 0. What is the third biggest value in 6.6, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 26 + y - 26 + 46 as u*y**2 + j + f*y**3 + k*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3207650 is divided by 1783.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 - -104. Let r = -0.2 - -0.2. Which is the nearest to 1\/3? (a) -0.2 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 + 13*b**3\/6 - 9*b**2\/2 - 50*b. Suppose 2*k = 3*k + 14. Calculate l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59942502 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 15) in base 12?\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612005 is divided by 1000.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -100780, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/6 + 454*b**3\/3 + 107498*b**2\/3 + 671920*b + 3285600 = 0.\nAnswer: -444, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 6. Let m be u(3). Suppose m*t = t - 2. Let g be ((-6)\/(-78))\/((-1)\/(-5)). Which is greater: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3972.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 701, 1408, 2115, 2822, 3529?\n\"Answer: 707*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 13*m + 38. What is the remainder when 104 is divided by p(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 6016. Let j be q(104). Is j != 6431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1025752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (2 + 0 + -3)) + -24. Let l(o) = -o - 18. Let v be l(p). Solve 0 = -5*y - v + 28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 125*s - 633, -9*a + 5*s = -14*a + 3*s + 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13241372?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**4\/24 + 2*t**3\/9 + 9. Factor a(g).\nAnswer: g**2*(g + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:35 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0636 - 10.1636. What is the nearest to 0 in -1\/9, -1, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*n, 4*j - n = -3 + 6. Suppose 3*a - 4 - 13 = 2*c, a - 3*c - 15 = j. Is a\/2*76\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + b - 33. What is a(0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/108*2\/(-35)*-4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9631616 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 3*o**2 - 62*o + 225. What is u(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1816 divided by -2.\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g**(-5)*(g*g\/(g*g\/(g**(2\/7)*g))*g)**(-25\/6))\/((g**(-4)*g\/g**(3\/2)*g)\/(g**(1\/4))**(-2\/51)) assuming g is positive.\nAnswer: g**(-1908\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 278 (b) -2\/9 (c) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 4*q - 16, 4*q - x + 8 = 6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 8*i**3 + 39*i**3 + 2612 - 2612 - 2*i**3 - 21*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7976 - 7989. Which is smaller: a or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 701*g*l*v**2 - 5*g*l*v - 47*g*l + 2*g*v**2 - g*v + 2*l*v**3 - 2*l*v - 2*l + 11*v**3 wrt v?\nAnswer: 1402*g*l + 4*g + 12*l*v + 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 10) in base 7?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + 0.03. Let g = d - -2.91. Let w = g - 3.000005. What is w rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1334435, -1334476, -1334517, -1334558, -1334599, -1334640?\n\"Answer: -41*p - 1334394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 + 3 + 35*m**2 - 3.\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 5620 to the nearest 100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 7 - 4. Suppose 0*m = k*m - 21. Suppose 4*f - 9 = p, 0 = -5*f + 8 + m. Sort p, 1, -3 in ascending order.\nAnswer: -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1246\/16)\/((-82)\/328)*30\/3. Which is bigger: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 8\/11 (c) 0.185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*m - 1040, -m = -3*k - 6*m + 1535. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 + 6*r**3 + 11*r**2 + 19*r - 2*r**3 + 3 + 7. Let u be p(-9). Put -17, 4, u, 3 in decreasing order.\nAnswer: 4, 3, u, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -81.\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 0.16. What is the closest to -1 in -2\/13, l, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7491\/4484 + -3\/236. What is the common denominator of 27\/16 and p?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 28840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5421.9*7.1\nAnswer: -38495.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -50. Let f = -24.4 - s. Let z = 1.8 + f. Which is the nearest to -2? (a) -4\/3 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3970*a**3 + 1320*a**3 + 1337*a**3 + 1311*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1069*n + 3141. What is a(3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from yyyiiydyid.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(128))**2 - (sqrt(128) + -1 + sqrt(128) + 1)**2 - ((sqrt(128) + 5*(sqrt(128) + 0 - sqrt(128)) + sqrt(128))**2 - (2 + 0 + sqrt(128))).\nAnswer: -501 + 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5\/2 - 4605*n**4\/2 = 0. Calculate n.\nAnswer: -1535, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/11 + 125634*x**4\/11 + 102780*x**3 + 2261080*x**2\/11 - 502512*x\/11 - 3014784\/11 = 0.\nAnswer: -62808, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4 + -0.4. Let m = -2 + c. Let s = 1041\/7 + -149. What is the second biggest value in m, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 0*h**3 + 4*h**5)*(0 + 4 - 6) + 2*h**5 + 4*h**4 - h**5 - 7*h**4.\nAnswer: -7*h**5 - 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.3. Let t = n - -0.8. Let d = 0.5 + t. What is the closest to d in -5, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 24 = -g + 2*q, 0 = -2*q + 4. Let d(p) be the second derivative of p**4\/6 + p**3 + 5*p**2\/2 + p. What is the remainder when 50 is divided by d(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75115643 (base 8) in base 10?\nAnswer: 16030627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/((-795)\/424*28\/(-5)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 20*c + t + 52 = 9, t = -3*c - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40259*r**2 + 3576*r**3 - 3662*r**3 + 40259*r**2.\nAnswer: -86*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/5 + 213*u**3\/5 + 4086*u**2\/5 + 10812*u\/5 + 6936\/5 = 0. What is u?\nAnswer: -34, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (3 - (4 - 3)). Let k(z) = -z**3 - 5*z + 4. Let o(n) = n**3 + 4*n - 3. Determine h*o(v) + 4*k(v).\nAnswer: v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/15 + v**4\/24 + 5*v**3\/6 + 4*v**2. Let r(u) = -16 + 17 - 7*u**2 - 10 + 3*u - 3*u - u. Calculate -5*f(j) - 3*r(j).\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 7:47 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*x + 369 - 370, -v - 3*x = 11. Let o be (-50)\/(-8) + 2\/(-8). Find r such that r - v + 3*r + 9*r**2 + o*r + 5*r**2 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*a - 69632 = 186*a. Is a a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504048380 by 1579.\nAnswer: 319220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w. Let v(r) = -38631148*r + 1. Determine v(j(a)).\nAnswer: -154524592*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - 2.1?\nAnswer: -45.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 - 1843928*c\/5 - 3687896.\nAnswer: 2*(c - 921974)*(c + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -87, -92, -77, -36, 37, 148, 303?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtujttffuuu. What is prob of picking 2 u and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5358 and 53580.\nAnswer: 53580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 2*d + 1636 - 1636 - 2*d**2 as g*d**3 + z*d + k + h*d**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1270*q**3 - 21316*q**2 + 219*q - 52293.\nAnswer: -7620*q - 42632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 892.9459 - 893. Let p = x - -0.054100916. What is p rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 364 and 72943.\nAnswer: 2042404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2196538*o - 11*o**2 - 597*o**3 - 2*o**2 + 2196538*o + 13*o**2.\nAnswer: -597*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + sqrt(931) + (sqrt(931) - (0 + sqrt(931))) + -3 + sqrt(304))**2.\nAnswer: -108*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 3:02 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535c3 (base 13) to base 3.\nAnswer: -21122022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p + t + 20, -4*t = -p + 29. Suppose -6*k + p = -3*k. Suppose k*q + 8 = 5. Are q and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*(-5)\/9)\/(8\/(-336)). Let j = -62 + d. Suppose -5*c + 0*c - 4*a = 27, -4*a - 9 = -c. Sort -4, c, j in decreasing order.\nAnswer: j, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -640, -766, -892, -1018?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.17 * -5790.\nAnswer: -70464.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21)\/(42\/196).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -491\/1560 + 3\/130. Find the common denominator of 25\/228 and o.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 52*m**2 - 128*m - 3072.\nAnswer: -2*(m - 16)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033*k**2 - 788*k**2 + 5745*k**2.\nAnswer: 5990*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557d (base 16) to base 5.\nAnswer: 1200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 2. Let g be w(-2). Let z(o) = o - 2. Let t be z(g). Solve 4 = -2*j + 4*m, t*m = 4*j - 2 + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 1, a: 2, k: 2, o: 2, s: 5}. What is prob of picking 3 s and 1 o?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119724225*f**2*t**2 + 11*f*t**2 + 2507*f*t + 156*f + t**2 + 3*t wrt f?\nAnswer: 239448450*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 22*r**2 + 104*r + 12. Suppose 11*l - 6*l + 2*c - 25 = 0, 0 = 5*l - 4*c - 55. Give a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 20. Determine p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 46 - 1. Suppose a = -4*a + 5, 5*a - i = -2*u. Suppose -5*j + u*j = -9. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -21*x. Let c(m) = -m. Let g(j) = -3*j. Let a(y) = -5*c(y) + 2*g(y). Calculate a(n(d)).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*v + 233*v = 140. Calculate the highest common divisor of 40 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, x: 1, y: 1, c: 1, w: 2, z: 2}. Give prob of picking 1 i, 1 c, and 1 y.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 145.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/4861 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 749812616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-8 - -4) + (-22195)\/(-54). Let p = f + -415. Are p and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q + q. Let j be 0 + (q - 0 - 18). Let f = j + 88. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4080)\/(-2448)*(-18)\/(-140)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -2761487\nAnswer: 34\/2761487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*h - 7, -2*z = -2*h + h - 14. Suppose z*k = 41 - 6. Calculate the highest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 851250.\nAnswer: 3405000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuiuirq. Give prob of picking 1 q, 2 i, and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62475, 24, -5 in ascending order.\nAnswer: -5, 24, 62475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 595 + 1245 = 0 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r - 60 = 0. Let g(f) = 2*f**2 - 71*f - 119. Let o be g(37). Let x be ((-6)\/o)\/3*r\/(-9). What is the second smallest value in -10, x, 5, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.39 * 72.91\nAnswer: 101.3449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dww when three letters picked without replacement from pcxwdpnx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 1624 = -5*g + 8*b + 809 + 807, 0 = 5*b + 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26591*u = -26651*u - 1020 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 150486.\nAnswer: 150486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -446, -1, -4, 0.3, 2174?\nAnswer: 2174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007704177 to 5 dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by 8\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.9494 to 2 decimal places.\nAnswer: 3.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7979.3*-33.\nAnswer: 263316.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103\/113 - 1359\/1243. Which is the nearest to -0.2? (a) 5 (b) 2 (c) n (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*w - 5 = 0, 2*i - 3 = 6*i + 3*w. Let t be 9\/6*(i + -2). Is 15 a factor of (26\/t)\/((-2)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2, -37 in descending order.\nAnswer: 4, 2, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286*v = 4199*v - 881*v + 287*v + 394697 for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.047?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k + 23. Let w be j(0). Let g = 26 - w. What is the derivative of -g*h**4 - 5*h**4 - 7 + 16 + h**4 wrt h?\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153650.\nAnswer: 2, 5, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1\/7 (c) 0.3 (d) -0.277\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1175780*d**3*r**3*z**2 + 3*d**2*r**3*z**2 - 589*d**2*r**2*z - 51*r**2*z**2 wrt d.\nAnswer: 7054680*r**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)\/(-14 - -15). Put -11, -3, -5, h in decreasing order.\nAnswer: h, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -175*a + 1054. Let r be s(6). Let y be ((-3)\/(-2))\/((-1)\/(-2)). Let t be (-4)\/(-6) + 1\/y. Solve -x + r*j - 5*j = t, j = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20330 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -41. Suppose -16*m - 222 = -j*m. What are the prime factors of m?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-35) - (111\/(-21) + -3). Let b(q) = y*q - 11 + q + 11. Let k(m) = 4*m. Determine k(b(x)).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9\/8)*b)**(1\/10)\/(b**(2\/11)\/b**(-4\/7)))**(5\/2) assuming b is positive.\nAnswer: b**(-4717\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -10.9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-2 + (-4)\/(-3)). Let n(w) = w**2 + w - 4. Let k(h) = -h**3 - 3*h**2 + 6*h + 5. Let j be k(-4). Let z be n(j). Is z <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 2. Let h(g) = 13*g + 5. Calculate -5*c(j) + 2*h(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 10 = t - 3*u, -u + 22 = -3*t. Let f(v) be the first derivative of v**4\/4 + 7*v**3\/3 - 9*v**2\/2 - 4*v + 1. What is the units digit of f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/10 - 7*j**4\/24 + 3*j**2. Find the second derivative of n(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in months?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 61 (c) 143\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idhyi. Give prob of sequence hdyi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -6*a**3\/5 + 8*a**2\/5 - 2*a\/5 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -1\/2, -6, -11\/7, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.21, -16, -5, 24?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 21*f - 28. Let z be t(-20). Let m be (-4 - -16)*(-20)\/z. Suppose 0 = -p - p + m. Does p = 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away 26?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/3))\/y*y*y**(2\/17)\/y)\/(y**(2\/39)*y**(3\/10)) assuming y is positive.\nAnswer: y**(-5969\/6630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 498466000 rounded to the nearest 1000000?\nAnswer: 498000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**4\/4 + 43*k**3\/3 + 23*k**2 - 87*k + 77. Let n be g(44). Solve 2*v + 5 = -n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.3 - 27.7. Let u = a + 31. Let f be (6\/(-10))\/((-10)\/(-25)). Is u at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 140*x**3\/3 - x**2\/2 - 669*x - 1704. What is the second derivative of w(a) wrt a?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 13*k - 13*k - 13*k**3)*(-7*k + 12*k + 9*k) to n*k**3 + r*k + f*k**2 + l + p*k**4 and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*p - 167*p - 173*p + 680*p - 168*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.68 and -0.1822.\nAnswer: -0.306096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 3*u = 33, 5*u + 21 + 10 = -2*x. What is the closest to 1 in x, 116, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 8 + 2, w + 3*i = 96. Let x = -80 + w. Differentiate 10*m + 6*m**2 + 22 - x*m + 26*m**2 with respect to m.\nAnswer: 64*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**3 + 25*i**2 + 390*i + 360 = 0. What is i?\nAnswer: -6, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 52, -5, -1\/7, 219, 0.1, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 3*j**2 + j - 1. Let y(o) = 9*o**3 - 19*o**2 + 63*o - 6. Give -6*f(c) + y(c).\nAnswer: 3*c**3 - c**2 + 57*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**7\/1260 - k**6\/360 - k**5\/60 - 2*k**2. Let m(t) be the third derivative of g(t). What is the units digit of m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(60)*-6 - sqrt(15)))\/(-4*-1*sqrt(75)).\nAnswer: 39*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c3 (base 16) in base 5?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1878*s + 15958*s - 3391*s)*(1 + 1 - 1).\nAnswer: 14445*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 850284 a multiple of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -766, -1748, -3128?\nAnswer: -4906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - g = 752, 0 = -4*y - 0*g + 4*g + 592. Suppose 5*p - 54 = y. What is the remainder when p is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/86220 and 52\/15807.\nAnswer: 948420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26122.31806 - 26122. Let n = 0.318 - h. Round n to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 43. Suppose -14*x - 20 = -15*x. Let p be n(x). Suppose -660 + 198 = -p*f. List the prime factors of f.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/21))\/z)\/z**(1\/4))\/(z**(1\/4))**(-16) assuming z is positive.\nAnswer: z**(323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -339, 4, -0.9, 5\/2, -2\/19, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23101404 (base 5) to base 14\nAnswer: -55367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 - 103. Find the second derivative of s*h - 6*h - 2 + 31*h**3 + 5*h + 10 wrt h.\nAnswer: 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/22 - (-2)\/4) + 2. Let u be (-22)\/(-4) + (-1)\/2. Suppose 0 = -t*r - l + 56, 2*l = -2*r + u + 31. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15559002 divided by -489.\nAnswer: -31818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.148 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 649 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.421449 millilitres?\nAnswer: 0.000421449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-76)\/(-38)). Put -1, c, 5, 2, 0.2 in decreasing order.\nAnswer: 5, 2, 0.2, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18933 divided by -3.\nAnswer: 6311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/20 + 40*r**2. Let g(j) be the first derivative of -5*j**2 - 2. What is n(g(a))?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 n when three letters picked without replacement from {n: 2, w: 3, a: 1, d: 3, p: 1, c: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 731201306 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 472 + 432 = 0. Suppose 3*p - p - i = 0. Suppose -p + 56 = -5*n. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179156196 by 4976561.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4679586 and 17158482?\nAnswer: 51475446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312)\/1300 + (-37198)\/9800 + (-9)\/(-7)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/p*p*p\/(p\/p**22))\/((p**13*p)\/(p\/((p\/((p**(-8)\/p)\/p))\/p))) assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = -3*t. Let d(m) = 5 - 6*m + 0*m + 6*m**2 + 3*m**t - 4*m**3. Calculate d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210 (base 4) in base 11?\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -12)*((-8)\/12)\/(-2). Solve -2 - y = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3022133300103 + 10?\nAnswer: -3022133300033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, f: 10}. Give prob of picking 1 s and 3 f.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 5*m**7\/42 + 2*m**6\/3 + 3*m**5\/2 + 5*m**4\/3 + 5*m**3\/6 + 19*m. Suppose q(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 3*k**3 - 10*k - 16 + 15261*k**2 + 20 - 15259*k**2 to the form f*k + r*k**2 + a*k**3 + j and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(832) + ((sqrt(832) + -1)**2 + -2 - sqrt(832)) + -4)*-3 - (2*-1*sqrt(832) + (sqrt(832) - (sqrt(832) - (sqrt(832) + -1)))**2*-1)).\nAnswer: -6592 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 3*b - 3835. Let u(s) = 3*s**3 - 4*s + 3845. Determine -4*a(g) - 3*u(g).\nAnswer: -g**3 + 3805","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 614720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**3 + 28*w**3 - 4*w**3 + (w**2 - 1 + 1)*(w + 0*w - 2*w) + (-4*w + 0*w + 6*w)*(-w**2 + 4*w**2 - 4*w**2).\nAnswer: 27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trttttlrtlltttttt. What is prob of picking 2 r and 1 t?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.1 - -5.6. Let i = -3 - -5. Let d = i - -2. What is the biggest value in q, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*m - 42 = -690*m + 3*w, -38 = 5*m + 4*w for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 3*m - 96. Suppose 74 = 2*h - 20. What is the remainder when h is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -s - 2. Suppose -4 + s = 2*l. Suppose 5*v - 30 = -0*r - l*r, 11 = 2*r + v. Calculate the smallest common multiple of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 20.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865518.\nAnswer: 2, 3, 144253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n. Let k(j) = j**2 + 18*j. Give x(k(q)).\nAnswer: -3*q**2 - 54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 4)*(0 + 4 + 2) + (-3 + 5 + 0)*(-1 + 1 - 1) + 2 - 1 + 0 + 4 + 2 - 4)*(2 + 2 - 2)*(a - a - 2*a**2).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66692.\nAnswer: 2, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1881 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = j - 3*j, -3*a = -4*j + 12. Suppose j*o = -0*o + 3. Are 1\/6 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:52 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (7 - 6 - 12) + -3 + 11 + 14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 + -78. Calculate the remainder when a is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*h**2 + 101*h**2 - 140*h**2.\nAnswer: 31*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29a8 + -32?\nAnswer: -29da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1175 - 1166) + -5*66\/(-300) + (-1)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022665 - y - 654491 - 211480 + 220609.\nAnswer: -y - 1668027","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1872) + (-1*sqrt(1872) + 0 - sqrt(1872)) - sqrt(1872)) + -4)**2.\nAnswer: -45024 - 1152*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**7\/5040 + z**6\/120 - z**5\/60 + 7*z**3\/3 - z**2 - 9*z. Let o(k) be the third derivative of v(k). Determine o(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**2 + w**5)*(3 - 3 + 1) - 46500*w + 2326*w**5 + 46500*w.\nAnswer: 2327*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 393, 2\/9, -5 in ascending order.\nAnswer: -5, 2\/9, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2769455019 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (30\/8)\/((-9)\/6)*(-43)\/(989\/322)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 1938?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -5*1*sqrt(2057) - sqrt(2057) - sqrt(2057))**2 - ((2 + sqrt(2057) + sqrt(2057))**2 + 2).\nAnswer: -88*sqrt(17) + 65818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -3*v**4\/2 - v**3 + 6*v**2 + 9*v + 4. Factor a(i).\nAnswer: -3*(i + 1)**2*(2*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/8, 0.02, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1542 - -1.26681. What is x rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*a + 191*i - 119*i - 70*i = -816, -3*a + 2*i - 39 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from qattaadtqaawtaaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a factor of 105870481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19012.83 grams in micrograms?\nAnswer: 19012830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 + 27*i**3 + i**3)*(-i - i + 0*i + (0*i - 3*i + i)*(-1 + 0 + 2))*(-4*i + i + 2*i).\nAnswer: 128*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14358242 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 30667?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q - 3. Let p(r) = 191*r**2. What is u(p(w))?\nAnswer: -1528*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1554225\/35 - 180\/126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73967606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:55 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0 - 16 + 187*n - 27*n**2 - 146*n. Let q(t) = -7*t**2 + 10*t - 4. Let j(l) = 9*q(l) - 2*x(l). Let h(f) = f**2 - f + 1. What is -6*h(w) - j(w)?\nAnswer: 3*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -19. Let k(j) = -23 + i - j**2. Let q(a) = 8*a. Give q(k(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97a (base 12) in base 7?\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-230)\/1)\/(-5) + (-1 - 1). Suppose 5*h - 2*w = -0*h + 143, 146 = 5*h + w. Let a = z - h. What is the highest common factor of a and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121220022 - -301113?\nAnswer: -1120312303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + sqrt(17) + 2 - (sqrt(17) - sqrt(153)*5))**2 + sqrt(833)*2 + -5 + -5).\nAnswer: -15360 - 656*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, -5, -3\/4, -1\/4.\nAnswer: -5, -3\/4, -1\/4, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.72 - -0.7. Let p = -15.18 - -15. Let a = p + c. Is 1 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 6*c**2 - 2*c - 128. What is the tens digit of x(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/59969 and 7\/1318.\nAnswer: 119938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 38 = -2*m + 4*u, -5*u = -2*m + 5. What is the least common multiple of 58 and m?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 1576 + 1576.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + (-3 - -7) - -8) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -5\/3, -4\/185, -1?\nAnswer: -4\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/154, -5, -0.007, 1 in decreasing order.\nAnswer: 1, 1\/154, -0.007, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246639026.\nAnswer: 2, 17, 29, 41, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -e7?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d*d**(-1\/2))**14*(d*d**(-2)*d**4\/d)**(2\/31) assuming d is positive.\nAnswer: d**(1089\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 32\/12*(-6 + 135\/18)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + 3 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*j + 45 = 0, 0 = 29*k - 26*k + 3*j + 3. Solve t = i + 6*t - 21, k*i = t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f9 + -d?\nAnswer: 4ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/9451 - 9435\/37804. Is r at least as big as -2011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 12*p + 2*b = -101, 0 = 2*p + 3*b - 76. What is the remainder when 522 is divided by p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -183*o + 22. Let l(k) = 170*k - 20. Let r(n) = -14*l(n) - 13*v(n). Suppose -5*y - 25 = -0*y. What is r(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.2 - -13.3. What is the closest to 0.2 in -1, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*-2*-1)\/((-30)\/(-4))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5752 * -0.8\nAnswer: -4601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 87*a - 15. Let t = 66 - 61. What is the units digit of z(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(70) + -3*sqrt(70)*-2)\/(sqrt(1800)\/sqrt(5))*1.\nAnswer: -7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 1)*6\/12. Let a(l) = -l + 2. What is the smallest common multiple of 6 and a(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z**(2\/17))**(2\/97) assuming z is positive.\nAnswer: z**(-234\/1649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.2, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*f - 12*f + 65 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200122222 + 110122220?\nAnswer: 1011022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y**3 + 63*y**3 + 62*y**3 + 63*y**3 - 252*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115365?\nAnswer: 5, 37, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-27))\/((-25)\/(225*-4)))\/(-58)?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(832) - (sqrt(832) - -5*(sqrt(832) - (sqrt(832) + -1)))) + 3)**2 + sqrt(832) + -1 + 2 + -3 + -1 + sqrt(832))*6 + -3.\nAnswer: -192*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1407*u**2 + 3450*u**2 - 395*u**2 + 4437*u**2.\nAnswer: 8899*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 37*t - 1429. Let i be m(42). Solve 0 = 14*w - 41 + i for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244376732.0000284 + 244376842. Let u = w - 110. What is u rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 0)*(-1)\/(-1). Suppose 4*m - m = -c + 3, -u = 3*c. Solve -m*q + 0*q = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 313 = 6*o. Let n = -76 - o. Suppose -t + n - 86 = 2*q, q + t - 76 = 0. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = m - 15, 0 = 2*f + m - 68. What is the greatest common factor of f and 12913?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) -3.07 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**3 - 10*z**2 - 5*z - 2. Let c(f) = -8*f**3 - 7*f**2 - 4*f - 2. Calculate -4*c(o) + 3*w(o).\nAnswer: 5*o**3 - 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145594 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 834529.00670289 + -834529. Let n = 0.0067 - m. Round n to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 66217550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4657 - -4657. Solve 2*f - 3*y = -12, 3*f + y + 2 + 5 = s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 806a + -96?\nAnswer: 7a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 161*b**2 + 2. Let p(u) = -136*u - 30. Give p(i(l)).\nAnswer: -21896*l**2 - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1828216 milliseconds?\nAnswer: 182.8216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:10 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*j - 8*j + 48, 0 = -4*f + 4*j + 44. Let x(z) = z + 11. Let t be x(-9). What is the greatest common factor of f and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 764\/(-20) - (21094\/(-530) + 40)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1830316 and 0.4.\nAnswer: 1830316.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**3 - 2*g + 1. Calculate y(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 13*a. Let r(o) be the third derivative of 0*o**3 + 8*o**2 + 0 + 1\/24*o**4 + 0*o. Determine r(w(u)).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, n: 1, o: 12}. What is prob of picking 1 o and 3 x?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2058 and 169\/1470.\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -791 - -791.1. Let q be (-3)\/(-3)*6\/(-42). Which is the nearest to -0.05? (a) q (b) 1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 11*c**3 + 14*c**3 - 421*c**2 + 422*c**2 + (2*c**2 - 3 + 3)*(-2 + 2*c + 2).\nAnswer: 29*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 5 = f. What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 v when three letters picked without replacement from vyagxxyz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 156*s. Let l(g) = -772*g - 4. Give l(y(q)).\nAnswer: -2316*q**2 - 120432*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 37*k - 38*k + 24 = 0, 0 = -3*f - 2*k + 4*k - 75 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let t(s) be the third derivative of s**6\/120 + s**5\/15 + s**4\/12 + 5*s**3\/6 + 16*s**2. Give t(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28469688 divided by -104?\nAnswer: 273747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 48 = 2*t. What is the least common multiple of 48 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 672987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177 or 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*i**4 - 5*i**2 - 57 + 61 + 90*i**4 to the form o + b*i**2 + t*i + y*i**4 + k*i**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13237, -32795, -52355, -71917?\n\"Answer: -l**2 - 19555*l + 6319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, g: 6}. Give prob of sequence gwg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2813 and 21146.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.076 from -13.\nAnswer: -14.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 + 10*b - 22. Let c(t) = -3*t**2 + 11*t - 22. Let r(k) = 3*c(k) - 2*m(k). Determine o, given that r(o) = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.72934 nanograms?\nAnswer: 0.00000872934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496596063.\nAnswer: 3, 103, 1607107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1898*f**2 + 3*f + 5. Let b be w(5). Suppose -84530 = 3*d + b. What is d rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008422 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-16))\/(54\/(-69984)*-405)?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by (-120)\/(-9)*(-3 + 36\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 360, 271, 122, -87, -356, -685?\n\"Answer: -30*w**2 + w + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9 = -11. Let p be (6\/(-5))\/(3\/10). Let l = h - p. Let z(k) = -2*k**2 + 8*k - 3. Calculate z(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*(-6 - (-224)\/(-8)). Sort 2, -1, q, 7.\nAnswer: -1, 2, 7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-10))\/(2 - 12\/5). Solve 0 = -3*m - 5*o - 0 + 1, -f*m = -o + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k = 20. Suppose -k*w + 3*t - 15 - 12 = 0, -18 = w + 3*t. Let s = 13 + w. Are 4 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fviiqf. Give prob of sequence ifi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:26 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2 + sqrt(17) + sqrt(68) + -3 - sqrt(170)\/(sqrt(90)*-6)) + ((sqrt(68) - (sqrt(68) - (1*sqrt(68) + -2 - sqrt(68)))) + 2 + sqrt(68) + 1)**2.\nAnswer: 199*sqrt(17)\/18 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*u + 38 = -69, 0 = 4*u + 12. Suppose 0 = -7*v + 622 - 139. Calculate the highest common factor of v and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.55 - 0.65. Let c = h + 0.1. Put c, -55, -5 in descending order.\nAnswer: c, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117.5 + 3.7. Let s = -45 - z. What is s rounded to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 340*d**5 + 32*d + 2 wrt d.\nAnswer: 6800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116460 and 307454400?\nAnswer: 307454400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23803885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)\/((z\/(z**(1\/7)*z))\/z))**(-24)\/(z**(1\/9)*z*z**(-4))**(1\/11) assuming z is positive.\nAnswer: z**(-23578\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/42984 and 151\/11940.\nAnswer: 214920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 10. Let h be x(10). Let p be 4 - (-6)\/(-2 + -1). Suppose -3*s - t + h*t + 3 = 0, 8 = -p*s - 4*t. Solve s*m + 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*d**4*n**2 - d**3*n**2 + 2*d**2*n**2 - 74*d**2*n - 3*n**2 wrt d.\nAnswer: -3672*d*n**2 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-27 + 2) - 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186884 and 28908004.\nAnswer: 9836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 57 + 0)*(-25*g + 25*g + 7*g**2)*(2 - 1 + 1) + 1 - 1 + g**2 as j*g**2 + z + h*g and give j.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 12*h**2 + 7)*(4*h**3 - 4*h**3 + h**3).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7*18.8\nAnswer: -131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.3 (c) 0.13 (d) 79 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 - (2 + 3). Let i(j) be the second derivative of -j**3\/6 + j**2\/2 + 6*j. What are the prime factors of i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632*f - 1209*f - 864050 = -602*f. What are the prime factors of f?\nAnswer: 2, 11, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1316 - -1312. Which is the second smallest value? (a) 4 (b) -3\/2 (c) 10 (d) -3 (e) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c. Let y(z) = -z. Let j(h) = 4*a(h) - 30*y(h). Let r(m) = 29*m**2. Give j(r(w)).\nAnswer: -174*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 76. Let t be 128\/28 - 6\/(-14). Which is the closest to -2\/13? (a) t (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 9:30 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119184 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305120 is divided by 50852.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) 63 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.678908 millilitres to litres.\nAnswer: 0.002678908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267673 + 919602. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 13*k**2 - 237*k + 688. Calculate the remainder when 11091 is divided by p(3).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2021 and 9400?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -772*(-6 + 115\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 3*r**2 + 15*r + 8. Let a be l(-6). Suppose -a - 4 = -6*d. What is the lowest common multiple of d and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 32. Calculate the lowest common multiple of v and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**5)**(41\/3))**(2\/19) assuming m is positive.\nAnswer: m**(164\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34752 (base 9) in base 2?\nAnswer: -101101010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 1199*z**4 - 1268*z**4 + 1 + 2396*z**4 to u*z**4 + p*z**2 + f + x*z + h*z**3 and give u.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28866*g**3*r**4 + 85978717*g**3 - 92*g*r**4 with respect to r.\nAnswer: -115464*g**3*r**3 - 368*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/((-17)\/(-51))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*d**2 - 624*d**2 + 829*d**2 - 643*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwaniataiabbwwwbwaww. Give prob of sequence tb.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 1. Let i = z - -6. List the prime factors of i\/3*(27 + -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10536*q + 13. Let l(j) = 3503*j + 4. Give 4*f(n) - 13*l(n).\nAnswer: -3395*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -332 - -333. Find the third derivative of 17 - 31*a**5 - 3*a**2 + m + 4*a**5 wrt a.\nAnswer: -1620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 + 52000*a**4 + 26*a**2 - 248544483*a wrt a.\nAnswer: 20*a**3 + 624000*a**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20 - 24 - 2*s**3 - s**3 + 5*s**2 - 24 wrt s.\nAnswer: -9*s**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 29*l - 199. Does 33 divide n(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289.27 - -289.2699932405. Round n to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 243*u**3 - u**2 + 5*u - 4. Calculate f(1).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526148*o + 162 = 526145*o for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 219078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -394*l + 388*l - 36 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 (base 12) in base 14?\nAnswer: -2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 227\/5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 123 = b + 2*b, -3*h - 2*b = -133. Let j = h + -29. Let w(x) = -x**3 - 10*x**2 + 8. What is the remainder when j is divided by w(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 5:39 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*g - 26, 4*l - 3*g + 10 = 8*l. Let f be (-6)\/2*1 + 1. Calculate the remainder when ((-2)\/l)\/(f\/72) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/36*1155\/(-20) + -9.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2\/3)*w))**(-2\/21)\/((w*w**0)\/(w*w\/(w\/w**(-2\/5)))))\/((((w**(2\/17)*w*w)\/w*w)\/(w\/(w\/w**(-7))))\/(w**(-5)\/w**(1\/3))) assuming w is positive.\nAnswer: w**(-79867\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 477.422 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*z**3 - 18*z**3 - z**4)*(-z + 2*z - 2*z).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + u = -2*u + 4, -u + 8 = p. Suppose 57 = v - t - 0*t, 5*v = -p*t + 265. Suppose -h + v = 4*h. Calculate the lowest common multiple of h and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 116 + 2?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66237 and 33.\nAnswer: 728607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -787868659*d**3*r**3 - d**2*r**3 + 16*d*r**3 - 20*d*r**2 - 4*d*r - 162*r + 12 wrt d.\nAnswer: -4727211954*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaalaaaalal?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968820 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/((-4)\/(-8)). Is 43 + (1 - (-2 - i)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 5*s + 3*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -93\nAnswer: -10.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.01 times -198\nAnswer: 199.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/15 + (-2)\/(-6). Suppose l - y*l = 0. Solve h + 0*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30912 and 539648.\nAnswer: 260649984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -464500 + -1?\nAnswer: -464501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2086398461 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 290 = 7*m - 4*m, -k + 4*m = 167. Let v = k + 44. Let i = -61 - v. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 41*n + 13. Let r be k(10). Let v be (-5358)\/152*4\/(-3). What is the highest common factor of r and v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011111111 - -100?\nAnswer: 1001100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -155269\nAnswer: -263957.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**2\/2 + 182. Let r(m) = 30*m**2. Give r(v(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223479801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/15)\/i*i)\/(i\/i**(-2\/7)))**(-30)\/(i**5\/i*i**(-2\/15)*i**(-1)*(i\/(((i*i**5\/i)\/i)\/i))\/i) assuming i is positive.\nAnswer: i**(4484\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 24 = 4*p, v + 77*p - 81*p - 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(42\/5)*(-3)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -137807 take away -1?\nAnswer: -137806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 112*x + 626. What is k(-50)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let d = 0.4 + 0.7. Let i = a - d. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38853247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10253.\nAnswer: 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o + 8978*o**2 + 11*o + 4254*o**2.\nAnswer: 13232*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 541594 - 285356. Let p = w - 256351.083. Let n = -113 - p. What is n rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 33847*r + 1. Let y(z) = 3*z + 17. What is y(h(t))?\nAnswer: 3*t**2 + 101541*t + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3137\/369 - -98\/41. Calculate the common denominator of (80\/75)\/(-4)*138\/(-16) and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286640190.\nAnswer: 2, 3, 5, 563, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 - -28?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 1120, 2300, 3952, 6076?\nAnswer: 8672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhrsxkhxxwxw. Give prob of sequence kh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*h**5\/5 - 78*h**4 - 1728*h**3\/5 - 2488*h**2\/5 - 1056*h\/5 = 0. Calculate h.\nAnswer: -44, -2, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*h = 2592. Suppose 4*m - 129 = i - 2*i, -4*i + 5*m = -h. What are the prime factors of i?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/5)*g**(3\/7)*g*g*(g\/g**(-4))\/(g**6\/g) assuming g is positive.\nAnswer: g**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-242 - -244) + (-11 - (9 - -60)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9850849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139463?\nAnswer: 89, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -114fa - 402d?\nAnswer: -15527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4284 divide 249910800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 - 3*m + 15. Give z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99073*o = 4*g - 99078*o - 25, 0 = -8*g - 2*o - 58 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 31 + 24 = 5*q, 2*q - 50 = 4*g. Put 3, 1, g in descending order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -5*l - 2*p, -l - 3*p - 3 = 0. Let o(h) be the third derivative of -65*h**4\/24 - 2*h**3\/3 - h**2. Is o(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6 + 25 + 2*h + 27.\nAnswer: 2*h + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -358.301 to the nearest integer.\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4\/8 - 2981*s**3\/4 - 8346217*s**2\/8 + 201271158*s - 9117360648 = 0.\nAnswer: -3069, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243062 is divided by 1389?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236 divided by 2.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -1478584961.39\nAnswer: 1478584961.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.039 in 9, -2\/11, -0.22, 57?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763278?\nAnswer: 2, 3, 23, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*q**2 + 12*q**2 + 12*q**2 - 6*q + 7*q**2 + 7*q**2 - 15*q.\nAnswer: -18*q**2 - 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 35 = -5*x, 3*v - 562*x + 556*x - 126 = 0 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*i + 433 + 1936 = -1600 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/120 + m**4\/4 - 5*m**3\/3 - 10*m**2. Let y(c) be the first derivative of r(c). What is y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -225*t + 3828. Let z be m(17). Find j such that -6\/7*j**4 + 0 + 2\/7*j**z - 4\/7*j + 6\/7*j**2 + 2\/7*j**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85305, -170651, -256045, -341487, -426977?\n\"Answer: -24*y**2 - 85274*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1038 + -2006. Let f = b + 973. What is the second biggest value in -4\/3, f, 10, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1286 + -1918. What is the units digit of h\/(-9) - (-4 + 38\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/5))**(1\/88)*(s\/s**(3\/10))\/s*(s\/s**1*s)\/s assuming s is positive.\nAnswer: s**(-25\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -683 * -15.54.\nAnswer: 10613.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 - 90228*n - 180453\/2.\nAnswer: -3*(n + 1)*(n + 60151)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 137, -3 in descending order.\nAnswer: 137, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201994 = -3*z - 39271. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.27128 rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1 + 2*l + 0 - 4 - 2. Let a be x(5). Suppose -3*k + 3*r = -54, -a*k = -4*r - 12 - 46. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/312 - 132\/(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - 2*z - 32. Let f be k(8). Solve f*i - 145*i = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -20. Is 161 - -1 - (b + 22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 556\/31 - (-102)\/1581. Let v = -14 - -26. Suppose 3*m + v = o. Solve 3*j = m*j + t, 0 = t - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91534, -183042, -274550, -366058, -457566?\nAnswer: -549074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.03, -21, -2.5, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8103 - -2?\nAnswer: -8101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -59\/243?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 222?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 85454 (base 9) to base 15\nAnswer: 11b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7861260 is divided by 179?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 26 = -7*n. Suppose 2*c + n = -172. Let u = 108 + c. Let i(j) = -j**2 + 9*j - 6. Give i(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.1, 5, -3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -6. Let g(n) be the first derivative of n**4\/2 - n**3 + n**2 + 33288. Let k(x) = 3*x**3 - 4*x**2 + 3*x. Determine f*k(a) + 5*g(a).\nAnswer: -2*a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - (8 + 1596))*-1. What is f rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/10 (b) -0.06 (c) -0.1 (d) -1\/4 (e) 21\/2 (f) -3 (g) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111567 is divided by 22046.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -546810561747 + 546810556522.00003673. Let w = x + 5225. What is w rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13143396 and 3864.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -777, -1178, -1573, -1962, -2345, -2722?\nAnswer: -3093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 71, 170, 307, 482, 695?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*q - 65*q = -5*q + 1602 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:55 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -188864, -377729, -566596, -755465?\n\"Answer: -y**2 - 188862*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:20 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -239*j**6\/6 - 79*j**2\/2 - 289. Find the second derivative of d(m) wrt m.\nAnswer: -4780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2940a8 (base 11) in base 8?\nAnswer: -1601061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10*i**2 - 4 + 346008792*i - 346008792*i.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let b(a) = 2462*a. Determine v(b(g)).\nAnswer: 2462*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2228 = 5*b + 2138 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4138 and -0.404?\nAnswer: 1671.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = 1. Calculate the greatest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19d6fcd - 4?\nAnswer: -19d6fd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkk when three letters picked without replacement from {k: 4, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y**2 - 16714*y - 610593. Give j(-1482).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from dgdgdgdddd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(-1 + h + 1) + 33 - 8*h - 23 - 9 to m + i*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17638 and 94.\nAnswer: 828986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -574, -800, -1024, -1246, -1466, -1684?\nAnswer: -1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7876*w - 78238. Give r(-10).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1191, -1199, -1221, -1263, -1331?\n\"Answer: -i**3 - i**2 + 2*i - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 1. Suppose -c*g + 4*n = -4, 2*g + 0*n + 5*n + 32 = 0. Calculate the least common multiple of ((-4)\/g)\/(2\/36) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n - 846 + 321. Calculate the highest common divisor of 15 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1565, 1203, 889, 647, 501?\n\"Answer: 4*v**3 - 390*v + 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -7*y - 7. Solve -5*k + a = -y, 3*a + 8 = 2*k + 2*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5 + 1740*m**4 - 183264*m**3 + 4742106*m**2 + 41530419*m + 36603306 = 0.\nAnswer: -6, -1, 67, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -656549206*z**2 + 19*z + 4351518 wrt z?\nAnswer: -1313098412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.02 (b) 3 (c) 4 (d) 2\/137 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2\/121, -0.06, 59, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p**4 + 1\/5*p**3 + 0*p + 0*p**2 + 0.\nAnswer: p**3*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -5*l - 5*d, -5*l + d + 136 - 1 = 0. Suppose 4*s - l*s + 125448 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 93558, 93595, 93658, 93747, 93862, 94003, 94170?\n\"Answer: 13*o**2 - 2*o + 93547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*i - 39 = -59, 0 = 3*z + 4*i - 20. Let x = 4 + -6. Let r be (x\/21)\/(1\/(-9)). Which is the closest to z? (a) 3\/2 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = l - 4*l. Let j = 9 + l. Is j*(1 + 0 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 105 = -123 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*p - 9, 845*v - 27 = -2*p + 842*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46*-1888\nAnswer: -86848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m**2 - 8*m + 6. Let v = 20 - 8. Calculate the lowest common multiple of w(4) and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 130855472 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/7, 13, 12 in ascending order.\nAnswer: -3, -1\/7, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*y = -125 - 227, -3*y = -5*g - 594. Let j = -118 - g. Factor -1\/6*h**3 + 0 + 0*h**j + 1\/6*h.\nAnswer: -h*(h - 1)*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 441433?\nAnswer: -441431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-30))\/(84\/(-35))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25634 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7012*g + 3. Let c(d) = -4*d. Give q(c(x)).\nAnswer: 28048*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -60. Let i(n) = 3*n. Let w be i(-1). Let l(m) = m**3 + 2*m**2 - 4*m + 1. Let f be l(w). What is the greatest common divisor of f and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = i, 3*k + 2*i = 29410 + 5321. Calculate the highest common factor of 63 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose 0 = 3*t - 13 - 47. What is the least common multiple of t and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 6*h**2 + 25*h. Let i be x(5). Is i <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9571 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 16. Let w be g(10). Is (-13163)\/2*(0\/w - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -20. Let p(g) = 408*g + 246. What is 12*a(x) + p(x)?\nAnswer: 408*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -9*x**2\/2 + 4. Let d(l) be the third derivative of -l**4\/12 + 35*l**2. Give t(d(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5087716 rounded to two decimal places?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b65 (base 13) in base 10?\nAnswer: 15124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55.24769 millilitres?\nAnswer: 0.05524769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)\/a*a)**(-19\/3)*a**5\/a**(6\/11)*((a\/(a*a**4*a))\/a**(1\/12))\/(a**(-3\/2)*a*a**(-8)) assuming a is positive.\nAnswer: a**(2281\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*f - 4, 14640*h + 6*f = 14639*h + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -105 (c) -6258 (d) 4\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:31 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 849247.5 - 848351.5738. Let t = 896 - u. Let h = -0.082 + t. Round h to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*u**3*w**2 + 29*u**3*w + 2*u**3 - u**2*w**2 - u**2 + 6*u*w**2 + 39*u wrt u.\nAnswer: -300*w**2 + 174*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 1\/114*v**4 - 5\/3192*v**8 + 0*v + 0*v**3 + 1\/285*v**7 - 7\/570*v**5 + 11*v**2 + 1\/380*v**6 + 0. What is l in f(l) = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1998676616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 632 and 1106.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 2. Let b be d(-7). Suppose b*c + 1 = 3*r + 5, -2*r - c = -6. Solve r*l = l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 * 208.3676\nAnswer: -3.7506168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3\/3 + 5*s**2\/2 - s + 1. Let z be (-1)\/(((-136)\/(-8))\/68). Determine b(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + 30\/(-20))*(29584\/3)\/4 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23895 + 23889. Let i(h) = h**3 + 5*h**2 - 5*h - 5. Determine i(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243)*-2*3)**2 + (sqrt(243) - (sqrt(243) - (5 + -3*sqrt(243))))**2.\nAnswer: -270*sqrt(3) + 8287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 + 1.2. What is the second smallest value in 5, -3, p, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/((c\/c**(-12)*c)\/c))\/c)*c)\/(c\/(c*c**(-3\/5)\/c))*c\/(c**(-1\/12)\/c*c)*c*c**(1\/5) assuming c is positive.\nAnswer: c**(941\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and (-4)\/(-1) + 0\/10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14240 - -1?\nAnswer: 14241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2032 + -1681. What is the remainder when y is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/4 - 3\/(-6). Suppose -u + o*u = 8. Solve u*d = 4*d - 2*t - 18, 11 = -d - 3*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11 = -5*j + 7, -33 = -5*j + t. Suppose 5832 + 4434 = j*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*f + 2*f - 2*j, 0 = 5*j + 5. Let t = 9 + f. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 8*m**2 + m - 11. Let a be r(8). Sort a, 3, -4 in decreasing order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85950*w - 16385 = 85385*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2 - x - 3. Let i be g(3). Let u be 19285\/377 + 2\/(-13). Let m = u - i. Solve -m*v + 5*v = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121096, 7, -5 in ascending order.\nAnswer: -121096, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8 and 32\/8365619.\nAnswer: 66924952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwuwkkkuukk. Give prob of sequence uwkw.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3649, -14594, -32837, -58378?\nAnswer: -91217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*d - 400 - 453 - 11 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -171*y + 13. Let q(j) = 3*j. Determine q(o(u)).\nAnswer: -513*u + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 549\/18 + (-2)\/4. Let f = 25 + n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 4*v**4 - 5*v**4 - 4*v**4 + v as a*v**2 + r*v**4 + b*v + w + x*v**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 7*f**2 + f - 7. Let z be r(-7). Let o = 9 - z. What is the remainder when 192\/36 + -2 + (-464)\/(-12) is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(25 + -38 + 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/20 + v**4\/3 - v**3\/2 - v**2 - v. Let i(w) = -w**3 - 7*w**2 + 5*w + 4. Give 5*f(k) + 3*i(k).\nAnswer: 2*k**3 - k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48448 is divided by 6918?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 3:02 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4)*(-7)\/((-245)\/(-798)). Does 2 divide (o\/(-6) + 1)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -113*f + 3792. What is g(32)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 4. Suppose 0 = 8*f - f - 35. Let a = f + -1. Calculate the smallest common multiple of v and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -4, 0, 2.344, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6212, 12549, 19022, 25637, 32400?\n\"Answer: u**3 + 62*u**2 + 6144*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 41. Calculate x(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12220785 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 2. Let c(f) = 8*f + 10. Let l(b) = -6*b - 8. Let p(q) = 5*c(q) + 6*l(q). Calculate -5*a(z) + 4*p(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1491, -1475, -1459?\nAnswer: -1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3\/4*(-88)\/165. Suppose -4*t + 2*s = -24, -4*t - 2*s + 3*s + 22 = 0. Sort t, 4, j, 2 in descending order.\nAnswer: t, 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Suppose -3 = -i + s. Let k(r) = 2*r**2 - 51*r + 28. Let f be k(25). Solve f*l + i = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - h + 5, -5*s - h - 2 = 3*h. Differentiate -s + 8*b**3 - 3*b**3 - 6*b**3 with respect to b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1936702896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1333*i**2*o**2 - i**2 + i + 21*o**2 - 4*o + 5 wrt i?\nAnswer: 2666*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l. Let z(d) be the third derivative of -131*d**4\/24 - 2*d**2 - 1450*d - 2. Give z(k(s)).\nAnswer: -1703*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 + 136*y**2 - 124*y - 264 = 0. What is y?\nAnswer: -1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 3, -12, -4 in ascending order.\nAnswer: -12, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 8 = -1. Let b be z + (0 - -5)*21\/35. Suppose -2*p - 321 = -5*v, 2*v - 140 = -b*p - 3*p. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - (-59 - (89 - 113))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*v - 31 = -v, -3 = -t + 3*v. Solve 0*c + 3*c = -t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let f(p) = 3*p**2 + 26*p + 4. Let g be f(4). Let m(j) = -2*j - 2. Let a(x) = 286*x + 312. Let t(k) = g*m(k) + a(k). What is h(t(v))?\nAnswer: -52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129047 divided by -49.\nAnswer: -129047\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -13. Let t be (20 - 2)\/1 - v. Let r(n) = -n**2 + 16*n - 18. What are the prime factors of r(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o - 3. What is the lowest common multiple of h(-5) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 3, p: 1, a: 1, o: 1}. What is prob of picking 2 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 4117, -2\/3, -3 in decreasing order.\nAnswer: 4117, 36, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -509016*r**3 - 448*r + 243 wrt r?\nAnswer: -3054096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*k**2*x - 6571*k*x + 31050*x wrt k?\nAnswer: -48*k*x - 6571*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -198, -204, -210?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 117*f - 4. Let r = -14 - -16. List the prime factors of w(r).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1936, 1931, 1924, 1915, 1904, 1891, 1876?\nAnswer: 1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(4\/6*3). Let j be 2\/(4\/(-62))*1*3. Let w = j + 94. Solve -g + 0*g + w = n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 329206 in 0, -0.1, -0.3, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rriujijs. What is prob of picking 2 j and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4199429535.\nAnswer: 3, 5, 7, 29, 107, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbybhhbhbbbbybbbhyy. What is prob of picking 1 h and 2 y?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 16, c: 1}. What is prob of sequence ck?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7022593*c**2 + 7022593*c**2 - 224 - 5*c - c**3 - c to the form z*c**3 + f + s*c + p*c**2 and give f.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7374310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggkpkktppk. Give prob of sequence gtk.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**2 - 3*f**2 - 16*f**2 to the form t + a*f**2 + x*f and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + g + g)*(-30*g**2 + 21*g**2 - 66*g**2 + 5*g) to x*g + i + d*g**3 + m*g**2 and give d.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-12)\/(-3))\/(-12))\/(1\/(-12)). Find the third derivative of -3 - 8*j**c + 3 + 19*j**2 - 3*j**2 wrt j.\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:14 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6)*(-94 - 97 + 79)*(m**5 + 3*m**5 - 6*m**5).\nAnswer: 224*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8956 = 160*z + 81*z - 6468. Calculate the remainder when z is divided by (-2)\/(-3)*33\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1000 and 17\/16828?\nAnswer: 4207000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l + 123. Let m be c(16). Suppose -23*k + 4992 = -m*k. Is k a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78042, -156100, -234160, -312222, -390286, -468352?\nAnswer: -546420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 39*m + 120. Let q(v) = 26*v + 85. Let b(n) = 5*o(n) - 7*q(n). Let i(d) = -15*d. Determine b(i(f)).\nAnswer: -195*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 4437 = -2*g - 4*j, g = 5*j + 2206. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) 3 (d) -1.131 (e) -4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29328 and 2067.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 11:46 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 388097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 - 2*o + 2*o)*((-o - 2*o + 4*o)*(0 - 1 - 1) + 1 - 2*o - 1 + 2 - 2*o - 2 + 0 + 0 - 2*o).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -38, -53?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3128006 and 1890?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, 269.\nAnswer: -5, 16, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 5:25 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 5921*s. Let w(o) be the first derivative of -o**2\/2 + 8819. Determine u(w(r)).\nAnswer: -r**2 - 5921*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 + 2*f - 5. Let u be v(6). Let d(q) = 0*q - 2*q + 38 + q**2 - u + q**3. Is d(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -13550?\nAnswer: -13543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1\/812 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 - 152. What is the remainder when 79 is divided by 4\/(7 + 100\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 3*s + 4. Let u be l(4). Let n = u - -56. Let j = 30 + n. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f + 1. Let d(n) = 3*n**3 + 30*n**2 - 145*n + 245. Let z(g) = -d(g) - 5*i(g). Factor z(b).\nAnswer: 2*(b - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -93, -2\/7 in decreasing order.\nAnswer: -2\/7, -1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(4 + -1) - 17\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 705.5 + -13. Round z to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612 - 16*d + 612 - 21*d.\nAnswer: -37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 3\/2, -2\/89, 2\/9, 1\/3, -0.179?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/5, 0.3, -4, -2\/51, 3 in descending order.\nAnswer: 3, 11\/5, 0.3, -2\/51, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3613984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((4\/8)\/1)\/1. Let a**4 - 1\/2*a - a**2 + r*a**5 + 0*a**3 + 0 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 115 + 135 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + 0\/14 + 2424 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 20 + 8 - 3 - 30 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w*w*w**1*w*w*w))\/w*w)*w*w**(1\/9))**(-1) assuming w is positive.\nAnswer: w**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 8) + 6 + (5 - 24) - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720454119.\nAnswer: 3, 7, 11, 3118849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3 = -2*r, 11*t - 6*t - 15 = 5*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyee when four letters picked without replacement from yyyyeeeyeyeeyeyyeyee?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/15 - 21172*z\/15 + 56031698\/15.\nAnswer: 2*(z - 5293)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123911*r*z - 425*r + 645389278*z wrt r.\nAnswer: 123911*z - 425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40593 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 547.6 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*i + 2*i. Let j be (-3 + -9)*i\/(-6). Let b be (84\/(-15))\/(j\/(-20)). Calculate the highest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5024643723 - 5.\nAnswer: -5024643728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*x = n - 8*n + 24, -4*n - 4*x = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 3 + d**3 + 0 + 2*d + 5. Let x be t(3). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:54 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from iniininnni?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2793*m - 1682 = -2735*m for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 298 - 283. Solve -5*g = -8*g - d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 152 - 31244520?\nAnswer: -31244324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/5)\/(a**(-11)\/a*a) assuming a is positive.\nAnswer: a**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -183*l + 2. Is q(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*v - 14*v**2 - 2 + 13*v**2 - 22*v**2 - 1 + 233*v.\nAnswer: -23*v**2 + 399*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - q + 4. Let x be w(0). Suppose 2*u + 2*m = 26, x*u - m + 12 - 44 = 0. Let v be ((-2)\/(-3))\/((-6)\/u). Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (77 + 25) - -118?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/95 + ((-4176)\/(-10) - -2). Let p = 427 - h. Solve 0 = 3*s - 5*w - 25, -p*w + 15 = 5*s - 2*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362083 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 6:46 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyoyoxxoyyxo. What is prob of picking 1 y and 1 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -0.9. Let w = -370 - -405.4. Let q = 36.4 - w. Which is the closest to -0.1? (a) -0.24 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2 + 2*k**2 + k**2 - 17*k**2 + 4*k**2 + 6*k**2. Let i = -17 - -15. Determine v(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 5:25 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5175401.\nAnswer: 7, 11, 67213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1)\/(7 - 8). Solve c = -7*m + 3*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28585812323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d69 (base 14) in base 9?\nAnswer: -7343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1992 and 43088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 907.3 + -907. Let o = 0.03 + -4.03. What is the second biggest value in x, 1, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -2, -1 in increasing order.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 121774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77238*l**3 + 94239*l wrt l?\nAnswer: -463428*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*r. Suppose 135 - 30 = r*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 + 2*i - 4. Let a(q) = 9*q**2 + 3*q - 7. Let p(d) = d**2 + 10*d + 4. Let h be p(-7). Let m be 4\/(-16) + h\/(-4). Give m*a(b) - 7*u(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20605 + -10552. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k - 3*y = -16, 0 = -4*k + 4*y - 8. Let s be -2 + 1 + (7 - k). Let n(o) = -4*o + 9 - 3 + 0*o. What is n(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.75 in -15, -0.1, -1.77?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 636.4273 + -636.38829861. Let m = -0.039 + h. What is m rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) -0.49 (c) 1725 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 961*l**3*y**3 + 188521*l**3*y + 472*l**3 - 220376*l**2*y**3 wrt y?\nAnswer: 5766*l**3*y - 1322256*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184250 and 3025?\nAnswer: 2026750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -15. Let m(p) = p + 1. Let o be m(1). What is the lowest common multiple of 143\/22 - o\/(-4) and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 6*v**4 + 5*v**3.\nAnswer: v**3*(v - 5)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00093917078 rounded to seven dps?\nAnswer: 0.0009392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 822*g + 813*g - 3259*g + 809*g + 801*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 2*w + 4*w)*(3 - 3 + 1) + 0 - w + 0 + (-3 + 3 - 1)*(-73*w + 69550 - 69550) in the form s + g*w and give g.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10743855 divided by -15.\nAnswer: 716257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*m - 2. Solve -2*s = m*s - 2*k - 14, -3*s - 2*k + 7 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458, -458, -460, -464?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -75, -106, -135, -162?\n\"Answer: c**2 - 36*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12250247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-240)\/40 + 42 + 1. Calculate the greatest common factor of a and 555.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -11*a**2 + 2*a + 3. Let g be f(-2). What are the prime factors of g*((-48)\/20)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(8\/5)\/(g**(-2\/11)\/(g\/g**(1\/4))))**(-3\/28) assuming g is positive.\nAnswer: g**(63\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*s - 263293 = 227099. Calculate the least common multiple of s and 4170.\nAnswer: 12510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7679483730 to the nearest integer?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4800260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76 and -0.047952.\nAnswer: 3.644352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -28537.\nAnswer: 32\/28537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028934454 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*a**2*i**2 - 12*a**2*i + 17*a**2 - 1510*a*i**2 - 4*a*i + 6*a + 263*i**2 - 9*i + 68 wrt i?\nAnswer: 38*a**2 - 3020*a + 526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k - 2. Let u(r) = -9*r - 3. What is -3*h(n) + 2*u(n)?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - ((sqrt(65) - -4*1*sqrt(65)) + sqrt(65)))\/(sqrt(5) - (sqrt(320)*1 + sqrt(5))).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*o - 42 - 13 - 125. Let k be 0 + (5 - (1 - 0)). Solve k*a - 8 = t - 1, -5*a - o = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106595 - 106593. What is t in 30 - 5*t - 5\/3*t**y = 0?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*t**3 + 1499*t**3 + 956*t**3.\nAnswer: 2634*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6907 + 10691. Is ((-2)\/4)\/((-4)\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.258 + -0.758. What is the smallest value in y, 5\/4, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 16*n**2 + 22*n**2 - 16*n**2. Let c be 3\/5 - (-2)\/5. Let p be d(c). What is the highest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -16. Suppose 0 = 3*j - d - 4. Suppose 6*w = j*w + 130. What is the highest common factor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.089 + 0.011. Suppose 4*o = m + 27, -2 = 3*o + 5*m - 51. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2 + 0*q + 7*q)*(4*q + 13*q - 29*q) to g*q + x*q**2 + i and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152*(-9)\/(-144))\/((14\/(-4))\/7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17260\/(-863))\/(-2*2\/8).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/906455 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2343522 + 20?\nAnswer: 2343542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuhuhruhhhhtuh.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*a + 10 = 0, 28*u + 8 = 30*u + a. Let f(y) = y - 12. Let b(o) = 6. Give u*f(i) + 5*b(i).\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27697992 by 4152.\nAnswer: -6671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108125 is divided by 318.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-303)\/2)\/1 + 1\/(-2). Is p less than -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 39, 138, 329, 642?\n\"Answer: 5*u**3 + u**2 - u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 2. Let w(v) = 5*v + 5. Determine -9*i(c) + 4*w(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -1\/2*v**2 + 54 + 10*v. What is y(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3 + g + g - 4*g + g**3 + 0*g - 5*g**2. Give i(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 + 3*b - 4. Give n(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let d(r) = 2*r**2 + 3*r. Let q(h) = -d(h) + 3*p(h). Let o(j) be the third derivative of -j**5\/12 - 2*j**2. Determine o(q(l)).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.55 - 12.31.\nAnswer: -13.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 3*c**2 - 2*c - 2. Suppose -25 = -5*v - 0*v, -5*k = -v - 30. Let x = k + -5. Calculate y(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19111, -38225, -57341, -76459, -95579?\n\"Answer: -w**2 - 19111*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a factor of 1154747633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340369.\nAnswer: 1340369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7151, 1\/2, -5, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 5*i + 4. Let f be v(-6). Let z be 2 + (11\/f - -2). Which is the third smallest value? (a) z (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16150 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2144 = 4*t, 3*t + 386 = q - 327. List the prime factors of q.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-13\/6)*y)\/y)*y\/((y\/(y\/(y**(-24)*y)))\/y))**(-48) assuming y is positive.\nAnswer: y**(-1352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 - 5*c**2 + 3*c**2)*(1 + 3 - 1)*(4 + 3 - 5).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 3e2?\nAnswer: 3e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n**3 + 5*n**2 - 5*n + 7. Let p(m) = m**3 - 2*m**2 - 12*m - 12. Let y be p(5). What is the tens digit of g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -6\/5 (c) -15 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 + 82 - 47)*(15*z - 7*z - 23*z) to the form y + a*z and give a.\nAnswer: -1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0*j**5 + 0*j**6 + 5\/7*j**8 + 32*j + 0*j**7 + 2\/3*j**4 - j**2 + 0*j**3 + 0. Find the third derivative of p(d) wrt d.\nAnswer: 4800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 3*q + 0*q)*(2*q**2 - 2*q**2 + 2*q**3) + 158*q**4 - 159*q**4 + 25 - 1 as t + r*q**3 + d*q**4 + j*q + o*q**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/24 + 7*s**3\/3 - 2*s**2. Let k be x(-7). Solve 4 = -z + k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -868657 + 1288788. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/5 + 63*g**2\/5 + 192*g - 1024\/5 = 0.\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (20 - (18 + -12)) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 767 - 324. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201025013 (base 6) to base 5\nAnswer: -1333101234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n)\/(((n*n*n*n*n**(-5\/6))\/n*n)\/n)*(n\/(n**(-2\/3)\/n))**(6\/13)*n**(-1\/11)\/n**(2\/5)*n**2*n**(-7) assuming n is positive.\nAnswer: n**(-6121\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89059*x**3 + 25752 wrt x.\nAnswer: -267177*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6)*(-69)\/(-69))\/((-8)\/150).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyml when four letters picked without replacement from mymplymmyl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:25 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 846.5546 hours?\nAnswer: 3047596560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, -3, 5, 100 in ascending order.\nAnswer: -15, -3, 0, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 12 + 3 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 9. Let o(c) = -c**3 + 36*c**2 - 9*c - 7 - 35*c**2 - 2*c**2. Calculate the lowest common multiple of o(-1) and r(7).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(-2)\/16*8. What is the highest common factor of 90 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a879 (base 16) to base 10.\nAnswer: 43129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29108 - 29106. Is w bigger than 3\/124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -21. Suppose -7 = -t*n + 2*j, 3 = -2*n - 17*j + 12*j. What is the lowest common multiple of n and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 105, 215, 325, 435, 545?\n\"Answer: 110*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181.5 + -181. Let a = 77\/129 - -3\/43. What is the closest to -1 in d, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 18 = o + 3*d, 3*o - d - 26 = 0. Solve 2*f - o = -2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -3465043081?\nAnswer: -3465043080.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42961964.\nAnswer: 2, 19, 565289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-3\/5)*b\/(b*b**(3\/4)*b))\/(b\/b**(-6)*b**0) assuming b is positive.\nAnswer: b**(-147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 122758, 122849, 122940, 123031?\n\"Answer: 91*a + 122667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/7)\/(2\/(-7)). Suppose -x*l + 11 = -5*p, 10 = -5*l + 5*p + 45. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*p = -24, -2*p = 2*a - a - 8. Solve 3*k - k = -2*w - 10, -w + a*k + 15 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/11 + 20*s**3\/11 - 40*s**2\/11 + 30*s\/11 - 8\/11 = 0. Calculate s.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 8*z - 13*z - 7 + 28 = 0, -358 + 344 = -q - 4*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**(-4\/13)))\/(q*q\/(q**(-2\/13)*q)*q*q))**(-3\/10) assuming q is positive.\nAnswer: q**(87\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*h**2)*(-1 - 2 + 2) + 10*h**2 + 1 - 15*h**2 - 5.\nAnswer: -3*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((((-6)\/5)\/(-6))\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjaggjjgjgig. What is prob of picking 1 g and 1 j?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2368701.54 - -0.162\nAnswer: -2368701.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76\/(-57)*-86*(175 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2\/11*f**2 + 0*f - 2\/11*f**5 + 2\/11*f**4 + 2\/11*f**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*d, -2*d + 3 = y - 9. Factor 6*w**4 - y*w**4 - 6*w**3 + 0*w**4 + 8*w.\nAnswer: 2*w*(w - 2)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -550\/2243?\nAnswer: -550\/2243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9556 is divided by 690?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 323876.\nAnswer: -323876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38.74 + -33.74. What is the second smallest value in -569, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(2\/5)*p\/(p**(-1\/24)\/p)*p**(-11\/5)\/p**11 assuming p is positive.\nAnswer: p**(-1051\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 59*t + 708 = 0. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 3*z - 28. Calculate j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12384100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 9. Let u be v(-7). Suppose 0 = 3*h - 2*n - 50, 5*h + 4*n - u - 35 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**3 + 50*z + 6. Let v(y) = -2*y**3 - 2. Calculate t(c) + 3*v(c).\nAnswer: 3*c**3 + 50*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 359523767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-11)*(-9)\/12*6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 121, 254, 439, 676?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five eighths of a millimeter?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5051 divide 1047066839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*k + 2*k. Let z be (5\/15)\/(1\/3). Let b(u) = 28*u - 1. What is the remainder when b(z) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.85 + -22802\nAnswer: -22798.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (2*sqrt(4212))**2 - sqrt(52)*2*6)*4 + -5.\nAnswer: -67397 - 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:01 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-2)*1730*56\/35 is divided by 445.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*r - 28 = 0, -414*r - 2 = -6*g - 413*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 395 + -395. Is g smaller than -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + 0 + -3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + j - 20. Let n = 7 + j. Suppose -800000 = 2*v + n*v. Round v to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.3 - -4. Suppose 6*d = 2*d + 16. Which is the nearest to 1? (a) 3 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8030*s - 109011 = 159629 + 44530 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108, 96, 68, 18, -60, -172, -324, -522?\n\"Answer: -k**3 - 2*k**2 + k + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(8 + -9)*(-6)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/4 - (-11 - 149). Suppose -5*h - 5*q + n = -q, -5*q - 190 = -5*h. Calculate the remainder when 439 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 51*b - 23. Let j be g(-25). Solve -3*p - f + 8 = 0, p + j = 3*p - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-9 - 42) - 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15683307799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 12498.\nAnswer: 99984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - -2) - (-41 - -40)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 9 = 0. Let j be (-2)\/(-6) - 273\/i. Find the common denominator of -15\/7 and 44\/j + (-2)\/10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Differentiate 4 - a*o**3 + 2*o**3 + 0 - 2*o**3 with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42699 or -42710?\nAnswer: -42699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18284290 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:47 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:43 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 1248.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**3 - 4*o**2 - 52*o + 8. Let p(v) = 2*v**3 - v**2 - 17*v + 3. Calculate 3*l(y) - 8*p(y).\nAnswer: -y**3 - 4*y**2 - 20*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 15 + (-27 - (-21 + 12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + -1308?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 7*z**5\/30 - 17*z**3\/6 - 47*z**2. Differentiate p(r) with respect to r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*v - 165*v = -69*v - 673122. What are the prime factors of v?\nAnswer: 2, 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13969 times 282\nAnswer: 3939258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1345 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/14 - (-12)\/(-8))\/3. Let w(l) be the third derivative of 0*l + g + 1\/2*l**3 + 2*l**2 - 1\/24*l**4. What is w(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -6732 in increasing order.\nAnswer: -6732, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/110 and 43\/1375.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(4\/(-24)*68*(-27)\/72)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 + -249.0374. What is c rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(2448)*-3 - (sqrt(2448) + ((4 + sqrt(2448))*3 - sqrt(2448))))*1)**2*-6.\nAnswer: -529062 - 6048*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 5*y**3 + y**3)*(3 - 4 - 3).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*s + 7299*s + 54458 = 380303 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1)*s)**(-32)*(s*s*s*s\/(s**(-1\/4)*s)*s)**(-2\/7)*(s**(2\/19)*(s**4*s)\/s*s)**36 assuming s is positive.\nAnswer: s**(23029\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 7)\/((-7)\/(-14)*4). Solve 29*d + 54 + 91 = h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 7, -1541 in decreasing order.\nAnswer: 7, -29, -1541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1433, -39, -145?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 317, 320, 323?\n\"Answer: 3*q + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421838.\nAnswer: 2, 17, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*y + 0 + (1 + 2 - 2)*(-3*y + 3*y + 2*y) + 1 + 2*y - 1.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**3 - t**3 - 3*t**2 - 7*t**3)*(-6*t - 4*t + 0*t)*(3 - 4 - 3).\nAnswer: 80*t**4 - 120*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-1611)\/(-15)*10. Let u = p - 699. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 105. Let v = -23 - p. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 + 0.48. Suppose 3*h = 3, -1 = -0*d - 2*d + 3*h. Which is the closest to -0.1? (a) d (b) -1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 3*p**2 + 11*p - 1. What is z(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.4. Let t = -1 + k. Let v = 0.4 + -0.4. Which is the closest to -2\/5? (a) t (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 29*v - 1. Calculate the remainder when k(2) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 211 in descending order.\nAnswer: 211, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 127463*i**3 + i**2 - 391786 wrt i?\nAnswer: 382389*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llxhllxxllhooxll. Give prob of picking 1 x, 1 l, and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8985309 millilitres to litres.\nAnswer: 0.0008985309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 2*a**2 + 2*a**2)*(0 + 3 - 2) - 1 + 1 + 2*a**3 + 14 - 14 + 30*a**3.\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 266 + 350 = 0. What is the lowest common multiple of 84 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from xkjkkkkyxuukguxgk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -11 + 42 + -9 + -1 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -2614, 4 in decreasing order.\nAnswer: 4, -5\/3, -2614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let l = -469 - -468.8. Which is the nearest to l? (a) 0.5 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 2 + 5*d**2 + 0*d**3 - d**3)*(-2 + 2 - 3*d).\nAnswer: 3*d**4 - 15*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 766692a + -24?\nAnswer: 7666906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*n + 83*n + 2*b - 7*b - 645, 0 = n + b - 23 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfsjdsssdjsjsjsssfs. Give prob of sequence dd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + sqrt(121)\/sqrt(11) + 1)**2 - (sqrt(891) + 3 + sqrt(891) + -5))*-3.\nAnswer: -60*sqrt(11) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 12*r**2 - 11*r + 4. Let w be g(-11). What is the first derivative of w*p**4 + p**4 + 2*p**4 - 3 - 5*p**4 wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27157080 divided by -2.\nAnswer: -13578540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = n - 32. Suppose 24*x - 37*x = -806. What is the remainder when x is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*2\/(1 - -1). Let z = 0.3 - -0.1. Let f = -0.1 - z. What is the third smallest value in w, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 times -60?\nAnswer: 16560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 3. Let j = -3 - 8. Let t be g(j). Suppose -3*x - t = -x. Is x greater than -38\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-960)\/(-2112)*-19*2\/14. Let n = i + 21804\/385. Do n and 54 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**3\/2 + 7*l. Let k(t) = -20*t**2. Determine n(k(q)).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 208194072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 - -2) - (-9 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-30))\/(3\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5315876 or -5315875?\nAnswer: -5315876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-693)*(-12)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157059?\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6 + 10. Let w be (-2 + 8\/10)*-5. Factor -2*y**3 - 4*y - i*y**2 + 2*y - w*y.\nAnswer: -2*y*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*h*i**3 + 2719*d*h + 2*h*i**3 + 4*h*i + 41*i - 2 with respect to d.\nAnswer: h*i**3 + 2719*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 8*d**2 + 19*d - 146. Determine f(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1538, -25 in decreasing order.\nAnswer: 1, -25, -1538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*d + 7, -4*f = 2*d + 3 - 11. Suppose 0 = 4*p - 3*p + f*i - 5, 5*i - 25 = -5*p. Differentiate 3*m - 2*m + p*m - 8 with respect to m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501 (base 6) in base 15?\nAnswer: -2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 + h + 7*h**2 - 3*h + 3*h + 1 - 6*h**3. What is i(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217480 and 434960?\nAnswer: 434960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h + 34*h - 34*h - 898*h**3 + 899*h**3.\nAnswer: h**3 - 27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/9)\/(((t\/(t\/(t*t**(-1\/5))))\/t)\/t))**(-6\/5) assuming t is positive.\nAnswer: t**(-98\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - p = 141, p - 8 = -2*c + 67. Let j(f) = 5*f. Let m be j(1). Let h = m - 1. Calculate the highest common divisor of c and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12be3 + -4?\nAnswer: 12bdf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831\/4 less than 458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 4*t**2 - t - 1. Let n be v(2). Suppose 116 = 2*l - 2*r, -n*r = -34 + 14. What is the highest common divisor of 558 and l?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-57)\/(-4))\/(24 - (-165876)\/(-6912))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43878947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 12:36 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -60.615?\nAnswer: -18.1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 - 5 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = -t + 23, -5*t + 130 = -3*l. What is the remainder when 117 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m**3 + 83*m**2 - 4006?\nAnswer: -18*m**2 + 166*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 180 = 34*v. Determine u so that -1\/3*u**5 - 8\/3*u**v - 4\/3*u**2 + 0*u + 0 - 5\/3*u**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*l = 4, -5*u + 3*l = -3*u + 10. Calculate the least common multiple of 4 and u + 1 + (2 - -27).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12774*z = -12284*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:46 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -218454.7586 rounded to the nearest ten?\nAnswer: -218450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 0*j - 5325 = 0. List the prime factors of j.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 13. Let i = -13.6 - x. Let q = 3.9 + i. Sort q, -0.4, -2\/9 in ascending order.\nAnswer: -0.4, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90789251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 13 = -5*u, -5*f - 90 = -0*u - 0*u - 5*u for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Let b(q) = -4422419*q**2. Calculate b(v(u)).\nAnswer: -17689676*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1674, 1677, 1682, 1689, 1698, 1709, 1722?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 226 = 2770*i - 2768*i, 0 = o + 5*i - 13. Solve 257 = -o*g + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34080 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*k - 22347, -8*k + 7*k + 2*r = -5586. Suppose k = -5*x + 16*x. List the prime factors of x.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18779*q**3 + 18780*q**3 - 37561*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(32).\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/50? (a) 4 (b) -3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 569001319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1422 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -2 - 22 - (0 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724 divided by 954?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -1, 259, -9, -1\/6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22692, -44935, -67178, -89421, -111664, -133907?\n\"Answer: -22243*h - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11274164423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -131, -187, -243, -299, -355?\n\"Answer: -56*f - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 34872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47, -49, -51, -53, -55, -57?\n\"Answer: -2*p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 362179*k = 362183*k - 18, 0 = a + k + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/20)\/((-3)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2001210 (base 3) to base 9\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534261 - 534261 - 4*z - z + 5*z - 1549*z**3 + 1532*z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 570, 623, 676?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -39, -60, -83, -108, -135?\n\"Answer: -v**2 - 16*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918*y - 898*y + 1830*y - 2892540 = 0. Round y to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 24 = -9. Let w = 0.95 + -1. Let g = w + 0.45. Sort 2, j, g in descending order.\nAnswer: 2, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(4 + 5*-3*(-3 + 1 + sqrt(60)\/(sqrt(72)\/sqrt(6)))))**2.\nAnswer: -1321920*sqrt(5) + 2956176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13111421041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 3 - 3 - 5*x - 3*x + 3*x + (4*x - 5*x + 0*x)*(-1 + 3 - 3).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:17 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304676205 by 379.\nAnswer: 803895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 32704?\nAnswer: 32704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**2\/5 + 1259202*m\/5 + 2518428\/5.\nAnswer: -6*(m - 209869)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5134 in -13, 6\/5, 1, -1, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, 1174, 2680, 4800, 7534, 10882, 14844?\nAnswer: 19420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 42*x**2 + 155*x + 115. Determine q(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -655 + 3775?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -m + 4*t - 3, 0 = -2*m - t - 2. Let x be (2 - -1) + (1 - 3). Calculate the common denominator of m\/x + 93\/14 and -95\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - c - 2*c + 1 = 0, i - 2*c + 10 = 0. Let u = 2 - 6. What is the least common multiple of 16 and 2\/u*(i + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 2655 - 8287 = 0. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*j - 31*b**2 - 847*b*j**3 - 2*j**2 + 3 wrt j?\nAnswer: -2*b**2 - 2541*b*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25003 from -0.002.\nAnswer: 25002.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5*r - 5*r + (-r + 0*r + 3*r)*(-3 - 3 + 5))*(-366*r + 2341*r + 925*r).\nAnswer: -8700*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b87 (base 12) in base 5?\nAnswer: -131033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203264464 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:04 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212 - 11?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 + 1 + (4 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - ((2 - 14) + 2 + (108 + -155 - -58))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*q - 92*q + 3608. What is the remainder when 671 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -119*p**3 - 4*p**2 - 5*p - 8. Determine h(2).\nAnswer: -986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 22*b**2 - 6*b + 6*b.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-1)\/(-5 + 39\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1147*h - 411*h - 41952 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2634 minus 1989791269?\nAnswer: -1989793903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 149\/120413 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 12*q + 3. Suppose -5*l = -40 + 100. Let u be c(l). Is (-224)\/(-7) + u\/2*2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 5:04 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 smaller than 605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 + 20*l + 5. Let x(j) = -7*j**2 + 21*j + 4. Determine 4*o(y) - 3*x(y).\nAnswer: y**2 + 17*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.00938 + -2008.00938. Let l = -2825 - t. Let g = -817.0000357 - l. Round g to 6 dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6 + 3*f - 3 - 8*f. Let j(d) = -5*d + 3. Let x(u) = 4*u + 18. Let c be x(-6). Let q(b) = c*n(b) + 5*j(b). What is the first derivative of q(s) wrt s?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6478?\nAnswer: 2, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 19024*b**3 - 3*b**2 + 9*b - 6. Let y(o) = 2682383*o**3 - 424*o**2 + 1272*o - 848. Calculate 424*i(n) - 3*y(n).\nAnswer: 19027*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 11*a - 3. Give h(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53526051989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(684))*-4.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (6 - 8) - (-1 + 1 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 225*n + 81. Let s(o) = -224*o - 80. Let r(x) = -4*s(x) - 3*w(x). Differentiate r(m) with respect to m.\nAnswer: 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-2))\/3 - 1. Suppose f + k = 2. Find the second derivative of 2*v - f*v**4 - 5*v**2 + 5*v**2 wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 5427197?\nAnswer: -379903.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1. Let a(y) = 6*y - 5. Let l(g) = -5*g + 4. Let n(d) = 4*a(d) + 5*l(d). Suppose -1 = -5*f - 3*o, 4*o + 4 = 3*f + 15. Calculate f*n(w) + v(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22689692 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 838, 3225, 7190, 12733, 19854, 28553, 38830?\nAnswer: 50685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22\/7 (b) 0.103 (c) -1 (d) 3 (e) 1 (f) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 14*t - 29. Let n be x(-11). Suppose 0 = -l + 4*s, l - 6 = -l + 2*s. Calculate the highest common divisor of n and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 92 = x. Suppose -33 = -3*d + 3. What is the remainder when x is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2299*f + 428 = 2406*f. Find v such that -6\/5*v**2 - 6\/5*v**3 - 2\/5*v - 2\/5*v**f + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2982*c + 3060*c - 78 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.5 + 16.6. Which is the third smallest value? (a) n (b) -0.1 (c) -5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75150.\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, 79, 118, 163, 208, 247, 274?\n\"Answer: -z**3 + 12*z**2 - 2*z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*s**3 - 12120*s**2 + 110149.\nAnswer: 201*s**2 - 24240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2120)\/(-16))\/(-53)*20\/(-975)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 2152 - 6522 + 2140 = 4*b - 2172, -b + 44 = -5*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/10 + (-1)\/(-3) and 2\/(-3)*(-263 + 252).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -1\/20*s**5 - 8*s + 7\/12*s**4 - 7\/6*s**3 + 0 - 9\/2*s**2. Let f be q(5). Solve 0 = 3*t + f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 minus -5164953515?\nAnswer: 5164954782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26\/3 - -25\/3. Let w = -229 - -7787\/34. Let u = 5\/34 - w. What is the nearest to 0 in u, 3, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(17)) + (sqrt(1700) + -1 + sqrt(1700) - sqrt(17)).\nAnswer: -7 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201231 + 100112?\nAnswer: 302003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(9\/(-3)) - (-41527)\/3170\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 104*a**3 + 2*a**2 - a. What is the remainder when d(1) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 681126*p - 12259296.\nAnswer: -3*(p + 18)*(p + 227024)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + -2*(sqrt(76) + -1)) - 1*sqrt(76)*-2*3*-4)**2*-2.\nAnswer: -137088 + 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2196405*c - 10982028. Give b(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v - 208. Let d be (-87)\/3*-2*(-4)\/(-8). What is the remainder when 98 is divided by h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898 - 898 - 10931*d.\nAnswer: -10931*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 312*s**2 + 14874*s - 197516.\nAnswer: 2*(s - 67)**2*(s - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 21*z**2 + 17*z - 45. What is q(-20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 4*u + 36. Let c be p(10). Let o(s) = -s - 4. Let l be o(6). Let m = l - c. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45446*-43.\nAnswer: -1954178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -6a701?\nAnswer: 6a6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5457231 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-57568)\/(-98)*7\/2.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-10) + 1388\/20. Suppose -3*o - 4*o = -m. Solve 0 = p - 4*j - 7, -5*p + 2*p + o = -j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuzuzzzzuzzzzzzzxzz. What is prob of sequence zx?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o**2 - 9*o - 3. Let v(f) = -12*f**2 - 7*f - 2. Determine -4*q(x) + 5*v(x).\nAnswer: -12*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 132. Let d = s - -103. Suppose -2*k + 48 = 2*k - 4*v, 0 = 4*k - v - 63. Calculate the remainder when d is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5633551 and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121368 and 54158.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*z**5 - 575*p*z - 3*p - 2*z**5 - 1094*z**3 wrt z?\nAnswer: 20*p*z**3 - 40*z**3 - 6564*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.4, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k**2 + 2*k + 1. Let j be 16\/48 - (-5)\/3. Suppose -3 = j*y - x - 8, 2*y + x = 15. Let l(r) = 7*r**2 - 2*r - 1. What is y*p(q) + 6*l(q)?\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r = -1269 + 1077. Let d(y) = y - 1. Let x be d(1). Suppose x = 12*f - r*f - 1640. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/21 - 5494*t\/7 - 9183280\/21.\nAnswer: -2*(t + 601)*(t + 7640)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (6 + -5 - 3*1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17)*2)**2 - (sqrt(17) - sqrt(85)\/(sqrt(5) + -1*sqrt(5) - sqrt(5) - sqrt(5) - sqrt(5))).\nAnswer: 56*sqrt(17)\/3 + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*d + 2*d. Let f(x) = x**2 - 13*x + 20. Let i(h) = 1. Let y(v) = -f(v) + 2*i(v). Let w be y(9). What is the greatest common factor of w and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**2 + 79*t - 298. Let v = 0 - -13. Suppose -q - l + v = 0, 3*q - 42 = -4*l - 4. What is the remainder when r(-13) is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50075 is divided by 9522.\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + n + n)*(272*n**3 - 171*n + 171*n) as i*n**2 + c*n**4 + y*n**3 + g + q*n and give c.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/709 + -17605\/8508. Let g = z - -151\/84. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*a - 41*a + 126 = 2*a - 16*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14866*n*z - 212598*n - 7*z wrt z.\nAnswer: -14866*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 y when four letters picked without replacement from xxyyyyyxxyxyyyyy.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 1, 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -10431344.6.\nAnswer: -10431347.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -5, 17623\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202 (base 3) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 691*v**5 - 12*v**4 - 130*v**3 - 2*v**2 + 60*v + 30442.\nAnswer: 41460*v**2 - 288*v - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Let x = 3 + r. Let p = x + -5. Which is the smallest value? (a) -1 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 11*v**3 + 10*v**2 + 2*v**4 - 3*v - 12*v**2 as r*v**4 + f*v**3 + c + s*v + n*v**2 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 5*l - 2. Let g be y(-2). Suppose 4 = -4*x, k + 2*x = -0*x. Let p be (5*-1 + k)\/(-1). Put g, p, -5 in descending order.\nAnswer: g, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*h - 12 = 0, -d + 3*h - 4*h + 4 = 0. Suppose -4*c - 309 = -5*r, 5*r + 3*c + 2*c - 300 = d. Is 61 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2351*w**2 + 2*w + 4769*w**2 - 2*w to b + r*w + q*w**2 and give q.\nAnswer: 2418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32705744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4984887 divided by 3?\nAnswer: 1661629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*(8 - 14\/2). Let w(d) = -7*d + 10. What is w(a)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 8322, -3, 2, 4, -1 in ascending order.\nAnswer: -3, -1, 2, 4, 26, 8322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = 3*g - 435, -5*g + 5*j = -755. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s - 1. Let r(m) = m - 6. Let l be r(4). Give o(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(6)\/(sqrt(2)*1).\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 14 = 3*b + 2*k, -b = -3*k + 5. Let y be b\/(-5)*(13 + -8). Let m = -0.9 - -0.5. What is the closest to -0.1 in y, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6772219, -27088982, -60950253, -108356032?\nAnswer: -169306319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/3)\/(-4 - -2). Suppose -5*x + 10*x - 240 = q. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -17. Let t = -0.0174 + 23.0174. Let z = t - y. What is the closest to -1 in 0.1, z, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012787?\nAnswer: 433, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k**3*l**3*q + 2*k**3*l - 7*k*l**3*q**3 - l**2*q**3 - l**2*q**2 + 13*q wrt l.\nAnswer: 48*k**3*q - 42*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 17782894\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/127? (a) 1\/6 (b) -2 (c) 0.2 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*m + 431762*a**2 - 198*a + 16841889*m**2 wrt m?\nAnswer: -a**2 + 33683778*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1950094 is divided by 975004?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6912 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-90)*8)\/((-18)\/(-81)). Let z(r) = -13*r + 3. Let d be z(5). Let h = d + 127\/2. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 7842*x - 33 - 2*x**2 - 7840*x)*(0 + 5 - 3).\nAnswer: -4*x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18140, -36277, -54414?\nAnswer: -72551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -0.079, 11, -3.\nAnswer: -3, -0.079, 1.8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0 - 1\/60*z**5 + 0*z + 11\/24*z**4 + 8*z**2 - 13\/6*z**3. What is the tens digit of k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 - 34*r + 110 to q + b*r and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let v be i(-1). Suppose h = v*h. Solve -2*u = 3*t + 3 + 5, h = -5*u + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3\/4, 3\/2, -10, 5, 35, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 76*34\/323*3\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 28*r**2 + 19*r + 13. Let w(a) = -a**2 - 2*a - 1. Let b(c) = g(c) + 6*w(c). Let p(o) = -11*o**2 - 4*o - 4. Calculate 4*b(i) + 7*p(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4576 and 192?\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 4 - 5)*(-504*c + 896*c + 1240*c).\nAnswer: 3264*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*j - 113, c = -c + 3*j + 235. Let b = c + -109. Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -30457?\nAnswer: 30459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1002143 (base 5) to base 13\nAnswer: 732b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5168, -3151, -1134?\n\"Answer: 2017*j - 7185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:19 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 193590 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 182.\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-54)\/2016)\/(573\/(-191))\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 4*u - 35, -5*u + 5*d + 40 = 0. Let a be (-5)\/2*u\/(-5). Solve 4*r - a*c - 20 = 0, -4*c + 9 = -3*r - 9*c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2802*u**3 + 912*u**2 wrt u?\nAnswer: 16812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1035)\/(-90))\/((-90)\/16*1) and 59\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -244, -799, -1874, -3643?\n\"Answer: -29*q**3 + q**2 - 9*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 41*u - 69. Let w be i(4). Suppose -w - 25 = -2*p. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.025, -0.4, -1\/4, 0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 107*d**3 - 6*d**2 + 40 + 46 - 8*d**2.\nAnswer: 107*d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-5\/3))\/(m*m*m\/m**(1\/4)))\/(m**1)**(-2))\/(m**5\/(m\/m**(-2\/5))*(m**0)**3) assuming m is positive.\nAnswer: m**(-101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4982179\/90 - -55356. Calculate the common denominator of -113\/12 and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8 = -3*u. Let y be (u - -1)*(-2)\/10. Which is the nearest to 1? (a) y (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3514 - -77273\/22. What is the common denominator of j and -137\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/126400 and 3\/126400.\nAnswer: 126400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -3 (c) -1\/3 (d) 3 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 23642.26 milligrams?\nAnswer: 23642260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:43 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -443664.079569 take away 0.056?\nAnswer: -443664.135569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10418?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/40)\/(1\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Let c(s) = -2*s + 14. Let f be c(6). Suppose -5*q + 10 = -2*d + 7*d, f*q - 2*d = -4. Sort q, -4, k in descending order.\nAnswer: q, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63634970 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13349496?\nAnswer: 2, 3, 556229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000728 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/20 and -103\/228.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572 by -3.\nAnswer: 572\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3134 (base 7) to base 15.\nAnswer: -4d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4992*k - 26 - 10 = -4995*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k = -60*k - 149. Let g = k - -18. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-8) - 1\/4. Let m be 2 - (0 - (-2 - -2)). Find the second derivative of m*q**2 - q**2 - 3*q**2 - f*q wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106051 and 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 - 3*o**3 - o + 0*o**3 - 6*o**2 to g*o**3 + t + u*o + n*o**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*(-120)\/(-264)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 60*s + 94 + 67 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*z - 2573, 15 = -3*f + 6*f. Let d = z + -894. List the prime factors of d.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 14*a**2 - a - 7. Let n be t(-7). Suppose 6*s - 18 + n = 0. Suppose 174 = s*v - 36. Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/60 - (11 - 27))*-2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 22. Let q be -1 - 6\/3*(-122)\/4. Suppose -7*c = 3*c - q. Let l be h(c). Solve -x + 2*z - 4 = 0, x = -5*z + l*z + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440 divided by 30.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**2\/2 + 3*z + 2. Let b = -4 + 1. Give p(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 8\/9*j - 8\/9*j**2 + 4\/9*j**4 + 2\/9*j**5 + 0 - 2\/3*j**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.2 times -289510.3\nAnswer: 2373984.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 51*o + 433. Give f(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 5, r: 6, x: 1, h: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Suppose 3*m - 4 - n = 0. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 32*x + 50. What is z(-30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*f + 267*f = -8077 - 4603 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**10)\/(((((y\/((y\/y**10*y)\/y))\/y)\/y)\/y)\/y))\/((y**4*y)\/(y\/(y*y\/(y\/y**(-7))))) assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -72*p + 2. Let u(c) be the second derivative of 6*c**3 - c**2\/2 - 8331*c. What is -9*u(h) - 4*z(h)?\nAnswer: -36*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8692 minus 149.56?\nAnswer: -150.4292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1364 + -815. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -270087.5375 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835277.2 millennia to centuries.\nAnswer: 8352772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 303936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q + 2. Suppose -2*g - 25 = -d, 2*d - 5*d = 4*g - 105. Let w = 29 - d. Is 10 a factor of p(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*o - 4*o + 8, -35 = 5*j + o. Suppose -593*f + 595*f - 10 = 0. Put j, f, -4 in decreasing order.\nAnswer: f, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -34\nAnswer: -45\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1 + -3)*-1. What is the third derivative of 9*p**2 + 5*p**3 - p**4 - 2*p**g - 5*p**3 wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -8\/389?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.56.\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {l: 2, g: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:49 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (7 - (10 + 8) - -2) + (70 - 2)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3121, -6247, -9373, -12499, -15625, -18751?\n\"Answer: -3126*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + (sqrt(19) - sqrt(38)\/sqrt(2)*-1 - (sqrt(931) + 1 - sqrt(19)) - 5*(sqrt(114)\/sqrt(6) + -2)) + -1.\nAnswer: -9*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 1173.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15436 + -346?\nAnswer: -16115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let i = -1 - -10. Let w = i - 8.9. Is w < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = s - 2*h, s - 6*s + 3*h = 23. Which is the closest to 1? (a) -0.0264 (b) 2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 18 + -5 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2607 - 2516. Solve -v = -2*g - 79 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173.08 - 357.25. Let b = -188.09 - -3.09. Let o = b - j. What is o rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -429\/14 - -204\/7. Sort -0.04, y, 4, 0 in decreasing order.\nAnswer: 4, 0, -0.04, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 12) to base 4\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478716, -957434, -1436152, -1914870?\nAnswer: -2393588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/39654 and -79\/13218?\nAnswer: 39654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011210101022 (base 3) in base 4?\nAnswer: -2120301200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 578659.6 micrometers?\nAnswer: 0.5786596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 10 = -2*y + 212, -140 = -2*n + 4*y. Suppose 0 = -2*w - 2*w + n. Is 18 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**6\/120 + b**5\/15 + b**3\/2 - 3*b**2\/2 - 3. Let s(a) be the second derivative of j(a). Is 3 a factor of s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800444 is divided by 2533?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let f = 0.37 + -2.27. Let l = 2.1 - f. Which is the closest to r? (a) -2 (b) l (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1))\/((-15)\/90). Sort -2, l, 1 in decreasing order.\nAnswer: 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(2736) - (-2 + -3*sqrt(19) - sqrt(19))*-3)*5)**2.\nAnswer: -600*sqrt(19) + 68425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 17*b + 34. Let w be m(-5). Put -4, -57, w in descending order.\nAnswer: w, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 1450?\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7842.457 decades in months?\nAnswer: 941094.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 185 + 7 = 0. Let k = 161 - c. Is k a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 71*q**2 + 70*q - 48. What is c(-70)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.3 + 2.3. Let u = 0.44 - -1.96. Let d = u + -2.4. Put d, -4\/3, c in ascending order.\nAnswer: c, -4\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 1\/7, 0, 8\/11, 3, -228 in increasing order.\nAnswer: -228, 0, 0.02, 1\/7, 8\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4804 and 2023685.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:32 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 - 802*b - 6016. What is d(-8)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {v: 5, e: 2, r: 1, j: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*c + 6 = 0, c - 4 = -0*c. Suppose -7*i = -5*i + r*k, 3*i + 4*k = 4. Let d(u) = u**2 + 3*u - 2. What is d(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48c - 2a3?\nAnswer: 1e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 2. Let q = 1 + -6. Let u(z) be the second derivative of 2*z**3\/3 - 5*z**2\/2 - 4*z. Let a(y) = y - 9. Let g be a(7). What is g*u(w) + q*v(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -758*u + 2. Let n(o) = 754*o - 1. Calculate -3*m(p) - 4*n(p).\nAnswer: -742*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1881837*i**5 + 3*i**4 - 21*i**3 - 433115236*i**2?\nAnswer: -112910220*i**2 + 72*i - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-7\/4))**36\/(y**4\/((y**(-34)*y)\/y)) assuming y is positive.\nAnswer: y**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 1, -7, -17?\n\"Answer: -g**2 - 3*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 222*m**3 - 3876*m**2 + 8664*m.\nAnswer: -3*m*(m - 2)*(m + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105763 + -349123657\/3301. Let o = -392759\/33010 - y. Calculate the common denominator of 55\/4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108941a (base 12) to base 15.\nAnswer: 428a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8482, -9859, -11232, -12601, -13966?\n\"Answer: 2*z**2 - 1383*z - 7101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 2\/3 (c) 1210\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1310 - 1320 + 2603 + p.\nAnswer: p - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000713503 rounded to 6 decimal places?\nAnswer: 0.000714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 756*q**4 + 689?\nAnswer: 3024*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-153)\/(-30) + 6\/(-15). Let m be o\/(-20)*8\/(-2). Suppose 315 + 41 = m*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(28)*2)**2 + -4.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3215 divided by -9080.\nAnswer: -643\/1816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - 2*sqrt(405)) + 0 + sqrt(405) - sqrt(25)\/(sqrt(15)\/(sqrt(3)*-1))) + 4.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54751\/84 - 2631\/4. Let a = s + 11189\/1848. Calculate the common denominator of -45\/8 and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2 + 8. Suppose z*c - c = 130. Suppose -2*t**4 + 74*t**5 - 70*t**5 + 36*t**3 + c*t**4 = 0. Calculate t.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/5 - 3026*m**4\/5 + 2261692*m**3\/5 + 41696712*m**2\/5.\nAnswer: m**2*(m - 1522)**2*(m + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:22 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -21e240ae?\nAnswer: -21e240ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (145\/3)\/((-14)\/(-42)) + -3 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 a factor of 396034052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**2 - 80*h - 10. Does 15 divide w(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2 + -2) - 2*-2. Differentiate 1 - 10*o**3 - 8*o**3 - 4*o**l - 4 with respect to o.\nAnswer: -66*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -2*d + 483. Suppose -5*p = 4*c - 4845, 5*c = p - d - 643. Suppose q + p = 5*q + s, s = -3. Is q a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, -5, 53, -4, -13 in decreasing order.\nAnswer: 53, 18, 4, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*t - 35 = -14, 2*t = u - 14. Let z be (-40)\/(-10) + (-1 - 1). Suppose -z*j + 0 + 16 = 0. What is the smallest common multiple of u and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 33) + -7 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11882 - -11906. What is the closest to 8 in -1, y, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19803 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*x**3 - 454*x**3 + 163*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffvvfffffff?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/6 and 91\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 7*i - 3, 1913*a = 1915*a - 2*i - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*i + 297 = -0*t, 4*i - 303 = -t. Suppose 5*n + 4*a = 491, -3*a = -3*n - a + t. Calculate the remainder when n is divided by ((-8)\/(-3))\/(4\/30).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1617 + 1637. Solve 0 = 6*x - q + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12193875 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/2))**(-3) assuming y is positive.\nAnswer: y**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 9) in base 5?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 150, 348, 624?\n\"Answer: 39*o**2 + 3*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {d: 4, r: 7, a: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 3*d**2 - 4*d - 2. Let v = -31 - -29. What is the remainder when 2 is divided by n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643170243 to the power of 1\/2, to the nearest integer?\nAnswer: 25361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -141, -245, -349, -453, -557?\n\"Answer: -104*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -10, -3, 2 in increasing order.\nAnswer: -10, -3, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q = -5*q + 4*q + 168 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/10 + (-32)\/(-5). Suppose -3*l = 4*o - b + 2, -4*l - 4*o = -4. Let g = l + 28. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 65. Let h(z) = n + 2*z**2 - 28 + 15. Let t(f) = 10*f**2. Calculate h(t(d)).\nAnswer: 200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - c = -4, -16 = -4*o + 3*c - 24. Solve -12 = 2*m + 2*w, -2*m + 8*w = 6*w + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (2 - 0)) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**4\/12 + 7*g. Let w(n) = -4*n - 3. Let v(a) = 9*a + 7. Let l(k) = -3*v(k) - 7*w(k). What is l(u(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 2445, 9120, 22629, 45366, 79725, 128100, 192885?\nAnswer: 276474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270880.3s in nanoseconds?\nAnswer: 270880300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:20 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2173.5.\nAnswer: -6520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.94481782 - -0.7559.\nAnswer: -6.18891782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2539.8*0.21.\nAnswer: -533.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 64*b + 222*b)*(4*b + 2*b - 5*b) + (b - 4*b + b)*(-4*b + 2*b + b).\nAnswer: 161*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.46 + -4.26. Let p = 4 + v. Which is the second biggest value? (a) p (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1295467855 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 12) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)*(o\/o**1*o)\/o assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*l + 20, 4*l = 3*i + l + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1441642 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 920b7 (base 16) to base 6\nAnswer: 20453235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, 1 f, and 1 g when four letters picked without replacement from {z: 4, g: 5, k: 2, f: 2, t: 1}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -25*c**7\/42 + 4*c**3 - 28*c. Find the second derivative of a(b) wrt b.\nAnswer: -500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451 + -153. Let d = -259 + y. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 4 + 0 - 5 + (2 - 2 - u)*(-3 - 3 + 3)*(-586*u - 293*u + 297*u) as j*u**2 + a + h*u and give j.\nAnswer: -1748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 3 = 0. Suppose 0 = 2*z - 6, 3 - 45 = 5*a + z. Let j = o - a. Solve -4*l + 2*l + j = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14955?\nAnswer: 3, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 495?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1\/3, -4.1 in decreasing order.\nAnswer: 3, -1\/3, -2, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 + 11*o + 11. Let s be (-11)\/(-2) + 6\/12. Let z(c) = c**2 + 2*c + 2. Let a(g) = s*u(g) - 33*z(g). Let y(j) = 8*j. What is a(y(t))?\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14533, -28442, -41725, -54382, -66413, -77818, -88597?\nAnswer: -98750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56531*h + 56548*h + 4250. Is -266 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76\/315 + 2\/45. Let t be ((-1)\/(-3))\/((-16)\/6). Which is the nearest to u? (a) t (b) 2\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 5. Let c be g(8). Let x be 2\/(((-9)\/c)\/6). Solve -5*k - 16 = x*f, 3*f + 0*f = 4*k - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -254\/9?\nAnswer: -254\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*n + 30. Suppose -4*b - 26 = n*a - 2*b, 2*a + 23 = -5*b. What are the prime factors of 26\/13*(-26)\/a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:53 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 36. Let i be 1\/(4*d\/72). Suppose 0 = i*c - 2*c - 120. Calculate the greatest common divisor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2537, -2969, -3689, -4697, -5993, -7577?\n\"Answer: -144*l**2 - 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/(d**(6\/11)*d))\/(d**4*(d**(-3\/4)*d)\/d))**(-9\/8) assuming d is positive.\nAnswer: d**(3879\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 z when four letters picked without replacement from zoooozoo?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*n**3*u**4 - 4*n**3*u + 250*n**2*u**2 - 2*n*u + 18*u**4 wrt u.\nAnswer: -1392*n**3*u + 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 4*w**5\/45 - 4*w**4\/9 + 8*w**3\/27 + 8*w**2\/9 - 4*w\/3 + 6. Factor t(v).\nAnswer: 4*(v - 3)*(v - 1)**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138115 is divided by 120?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -652969.7319 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 667 + -1344. Let s be -3*3284\/(-6) + 2. Let p = s + q. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3489 + -3488.99. Which is the smallest value? (a) -0.8 (b) 2\/3 (c) l (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -0.0045104913586?\nAnswer: 6.9954895086414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 2*k**2 + k + 3. Let i be a(3). Let y be (i + -1)\/((-2)\/8). Let o = y - 0. What is the highest common divisor of o and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0. Let n = -0.2 - -0.2. Let z = 706\/1211 - 2\/173. Which is the closest to t? (a) n (b) 1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0352 - 0.0906. Let v = -10.1158 - h. Round v to 1 decimal place.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/13 - (-44)\/(-286). Solve -n - q + 3 = 1, -n + w = 2*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039915, -2079831, -3119747, -4159663, -5199579, -6239495?\nAnswer: -7279411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 17*f - 23. Let o be u(10). Suppose -5*h = -o - 18. Let y(t) = -3*t + 7. Let p(a) = -6*a + 15. Let q(r) = -2*p(r) + 5*y(r). What is q(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1276, 2, -203, 4 in increasing order.\nAnswer: -203, 2, 4, 1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/5 + 14196*u**2\/5 + 342432*u\/5 + 2058048\/5.\nAnswer: -4*(u - 3573)*(u + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8. Let z be (-2)\/(-3) + o\/2. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 2:10 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305 and 366.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 60 = 34*m. Suppose -m*r - 3*q + 369 = -2*r, -4*q = -r + 348. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4718 and -1.9385?\nAnswer: 9145.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/297 and 13\/6919047.\nAnswer: 76109517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.3 (c) -1\/2 (d) -2\/11 (e) 5\/1333\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -25*h - 6. Let m be u(-1). Suppose -4*b + 1 + m = 0. Let w(a) = -3*a + 7. Calculate w(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from ehhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3)*-1*4\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 16*w + 104. Determine l(22).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001057188901 rounded to 7 decimal places?\nAnswer: -0.0010572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*12\/(-630))\/((-6534)\/(-1638) - 4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyly when four letters picked without replacement from lycyyly.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 - 5*t + 174 - 2*t**3 - 175 - 31*t + t**2 - 2*t**4 to o*t + c*t**4 + z*t**2 + s + i*t**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 divided by 4?\nAnswer: -501\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:59 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.6, 69\/16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/68365 and 26\/35785?\nAnswer: 489288305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 26\/6)*6\/4. Solve -4*d - t*g - 13 = 0, 5*d + 3 - 38 = 4*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 24 = -2*k - i, 0 = 5*k + 5*i + 65. Let b = -8 - k. Solve 2*f + 4*m + 18 = 0, 0 = -2*f + b*f - m - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by (9\/6)\/(18\/312).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 45 = -2*q - 0*o, 4*o = 4*q + 84 - 12 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:24 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 27*d**3 - 6*d**2 + 2*d + 3. Determine f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 804614103 divided by 17249\nAnswer: 46647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*113\/(5 + -2 + 2). Solve -j - 120 + s = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 264*i - 4. Let k be l(1). What is the third derivative of 260 - 8*t**4 - k - 46*t**2 wrt t?\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 12*n**2 + 9*n - 21. Let d = -1857 + 1846. Give k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - 10*j - 4. Let b = 6 - 10. Let r be t(b). What is the tens digit of (-344)\/r*(-9)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**5\/20 + 3*g**4\/4 + g**3\/6 + 11*g**2\/2 - 2*g. Let v be m(-9). Solve -v*u - 5 = -h + 4, 2*u - 3 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - 3*(sqrt(88) + sqrt(88)*-1))\/(sqrt(72)*-4).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {y: 1, u: 1, b: 12, w: 1, i: 1, r: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2184 and 2016?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43848208 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 656 + 352. What is the greatest common factor of g and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-21))\/((-2)\/42). Suppose 2*t = -2*j + 2, 2*t - j - 3*j = d. Suppose -t*a = -a - 26. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - -0.2. Let s = 59.4 - -4.6. Let h = 60 - s. What is the nearest to n in 5, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -4 + -3*28\/(-96). Which is the nearest to -9? (a) 1\/10 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -192349, -384611, -576873, -769129, -961373, -1153599, -1345801?\n\"Answer: n**3 - 6*n**2 - 192251*n - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60502975*h**2 - 60393765?\nAnswer: 121005950*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 36*l + 476. Is 46 a factor of k(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 14*t - 14. What is x(-14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 + 146. Find the second derivative of -39 + z + 5 - 94*h**5 + h wrt h.\nAnswer: -1880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 10*d**2\/11 + 608*d\/11 + 2688\/11 = 0.\nAnswer: -56, -24\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 23*f**2 + f - 1. Let u(b) = 12*b**2 + 3*b + 1. Suppose 0 = 3*r + 2 + 4. What is the remainder when u(r) is divided by n(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*u - 190*u + 5*u**2 - 1602*u**3.\nAnswer: -1602*u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2.9, 85, 4 in decreasing order.\nAnswer: 85, 4, -2.9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40402754211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4660 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-10) + (-42)\/(-105). Suppose 5 + 1 = -x*i. Let s be -2 + 6*(-2)\/i. Solve -s*z = -5*z - 2*k - 11, 3*k = -12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + t + 4. Let d(x) = -15*x**2 + 6*x + 21. Suppose -60 = -5*c - 5*y, 3*y + 0*y = -2*c + 25. What is c*z(h) - 2*d(h)?\nAnswer: -3*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1742\/(-201))\/(10\/6 + -2). What is the greatest common factor of f and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -471)*1\/(-2). Let n be 0*(-1)\/5 - -2*27. Let q = z - n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 + 17*l - 18. Let q(k) = 6*k**2 + 17*k - 16. Calculate 4*g(o) - 5*q(o).\nAnswer: 2*o**2 - 17*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33056725 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 819 and -68.\nAnswer: -55692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0*k)\/k**(-1))\/(k\/k**(-5))**(1\/10))**(4\/27) assuming k is positive.\nAnswer: k**(28\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -15*n. Let t(k) = -33*k. Let r(g) = -9*j(g) + 4*t(g). Let c(d) = 4*d**2 - 3*d**2 - 13*d**2. Calculate r(c(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:41 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*p. Let k be 9\/(-1) - (-32)\/((-2880)\/(-910)). Find q such that -k*q + 2\/9*q**2 + p = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1556373 and -138?\nAnswer: -21.4779474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 4*u + 7. What is s(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:43 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.026\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z**2 - z - 2. Let v be y(-1). Suppose -c - v = 9. Let j = -14 - c. Solve -q = -4*x + 21, j*q + 4 = -q - 4*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/56 in 16, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -432, -20, 1062 in ascending order.\nAnswer: -432, -20, 4, 1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3*i**3 - 3*g**3*i**2 - g**3 + 3*g*i**3 + 89*g*i**2 + 36509*i**5 + 67*i**2 + 5 wrt i.\nAnswer: -24*g**3 + 18*g + 2190540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(18)\/((sqrt(18)*-2 + sqrt(18))\/sqrt(2)).\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 27 (c) 1 (d) 1\/10 (e) -2\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 1 + 0*q - 1)*(-3 - 7 + 0).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**3\/3 + 252. Let x(q) = -17*q**2 + 5. Give h(x(k)).\nAnswer: -289*k**4 + 170*k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-62)\/(-93))\/(1\/45). Let o(c) = c**3 - 31*c**2 + 34*c + 12. Let v be o(r). Solve 0 = 3*y - v + 123 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22302836.8200446 + 22302840. Let i = y - 3.18. What is i rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 11*h**2 - 11*h + 7. Give b(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 4*j. Let p(b) = -3*b**2 + 11*b. Let s(d) = 11*f(d) - 4*p(d). Let g(h) = -21*h. Determine s(g(c)).\nAnswer: 441*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*l - 4, -4*c + 3*l - 11 = -39. What is the remainder when 28 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3303 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1082, 1098, 1114, 1130?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/52954151 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 10 = -5*a, 2*f - 2*a = -6*a - 14. Let l = -2 + -1. Let g = -3.4 - l. What is the third smallest value in g, -4, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/(2\/12). Let t(w) = w**3 + 13*w**2 + 11*w - 9. Let d be t(-12). Let c be 2*(l + 0 - d). Solve 2*a - 5 - 5 = -c*o, 4*a - 5*o + 7 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12963 divided by -6377\nAnswer: 12963\/6377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*b + 372*b + 2*u - 16 = 0, 5*b + 3*u - 5 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-2 - 30)) + -35?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*f + 43 = -69*f + 2*j, 0 = 5*f - 3*j - 78. Calculate the least common multiple of f and 306.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568754441 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(sqrt(7) + (sqrt(7) - -3*sqrt(7))).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 3\/7 (c) 3 (d) -3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-9))\/(2\/12). Let f = x - 2. What is the greatest common divisor of 112 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4269 divided by 31379.\nAnswer: 4269\/31379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 6:52 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*r**5 + 4*r**3 - 2*r**3 - 25*r**2 - 2*r**5 + 47*r**5 wrt r.\nAnswer: 2340*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164701120 divided by -206.\nAnswer: -799520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367079 = -20*c + 227261. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -793*u**3 + 2131*u**2 wrt u.\nAnswer: -4758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/17)*o)**16*(o\/((o**(-11\/4)\/o)\/o*o))**(2\/3) assuming o is positive.\nAnswer: o**(1379\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 688, 678, 676, 694, 744, 838, 988?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -78. Suppose 7 - 31 = -y*a. Suppose a*d = 6 - 0. Solve -2*x = -5*f - 4, 3*x - 7 = 3*f - d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 3:19 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 10*z**2 + 16*z - 49. Let n be m(11). Suppose n = -20*c + 14*c. Is c > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29142 - -40665. Calculate the remainder when x is divided by 172.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2056 and 17636.\nAnswer: 15580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3143650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 29\/11, -0.5, 1 in descending order.\nAnswer: 29\/11, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*w - 5*q - 26, 5*q + 21 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*k**4 + 1224\/7*k + 578\/7 + 72\/7*k**3 + 716\/7*k**2.\nAnswer: 2*(k + 1)**2*(k + 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010000 - -11?\nAnswer: -11001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 8*y**2 + 6*y - 38. Let u be j(8). Let q be (0 - 6)\/(-6) - u\/6. Which is the biggest value? (a) 7 (b) -1\/6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9392, -9709, -10576, -12269, -15064, -19237, -25064?\n\"Answer: -46*q**3 + q**2 + 2*q - 9349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2427*l + 85. Is b(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/7 - 47358*u\/7 - 94728\/7.\nAnswer: 3*(u - 15788)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*z - 77097, -z - 90448 = -4*p + 12358. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/3402*(45\/27*-1)\/((-35)\/63).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1875 and 750.\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.4 - -33. Let i(h) = h**3 - 7*h**2 + h - 5. Let g be i(7). What is the second smallest value in -5, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -9, -5, -1, 3, 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 78 = 2*c + 47, 2*c - 2*i - 16 = 0. Suppose 2*w = -5*l + 85, 5*l = 4*l + 4*w - 5. Let g be 10\/l*c\/(-7). Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-15))\/(8\/132). Calculate the highest common divisor of p and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1854\/8)\/((-24)\/(-126656)). Let v = a - 823022. What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169 - -176. Suppose -d*t + 6*t = -3. Which is the nearest to -2\/7? (a) t (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.08 - -14.07658. Round f to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 5. Does 10 divide d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9458.6 and -0.33.\nAnswer: -9458.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1284\/8 - -3) + 3\/2. Let z be 0*((-4)\/(-10) + (-121)\/d). Which is the second smallest value? (a) -5 (b) z (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -l - 39, 4*x - 57 + 5 = -5*l. Let s be 1870\/50 - 2\/5. Let i = s - x. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972301.\nAnswer: 11, 157, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 23*x - v + 6 = 0, 4*x = 2*v + 18. Solve 0 = -x*m - i - 3, -m - 2*i + 5 = 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 525\/(-40)*-98*144\/(-31752)?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-12) + 0 + 15\/(-60). Let m be 95\/342 + 1\/(-2). Which is the second biggest value? (a) -4 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -45 and -37009?\nAnswer: 36964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32627, 65184, 97741, 130298?\n\"Answer: 32557*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 4. Let p be d(8). Let c(b) = b**2 + 9*b - 8. Let f be c(-10). Suppose -f*t + 0*t - 184 = -4*o, 0 = -2*o - t + p. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - z)*(-4 + 0 + 3) - 3 + 3 + 2*z + (0 - 4 + 3)*(-z + 2*z + 0*z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 22, -31, -2 in ascending order.\nAnswer: -31, -17, -3, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.955 - 0.015. Let j = v - 20. Let w = 4.94 - j. What is the closest to 2\/3 in 2, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2)*(-18 - 17 - 8)*(-3*p**3 + 2*p**3 - 3*p**3) to the form t + v*p**3 + k*p + y*p**2 and give v.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (26 - 5) + -14 + 17 + -1 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 2. Give q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 - 2*c**2 + 2*c - 2. What is the smallest common multiple of ((-6)\/15)\/((-1)\/5) and f(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -536711784 by -76673112.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119185777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 688174, 1376713, 2065254, 2753797, 3442342, 4130889, 4819438?\nAnswer: 5507989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - a**2 + 2*a**2 + 3 + 2*a**2 - 3 + (-3*a - 6*a + 5*a)*(a - 3*a + 6*a) to x*a + z*a**2 + i and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-23)\/690)\/(2\/(-10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(1\/2)))**(18\/11)*(k**1*k)**(-2\/105))**(14\/11) assuming k is positive.\nAnswer: k**(1802\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 534403 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by 35.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 2*-2 + 3 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 4*a**2 - a + 7. Let g be s(4). Let t be g - ((0 - 5) + 0). Suppose f - w + 5 = 0, t = -4*f + w - 3. Let h(d) = -d**2 - d - 2. Determine h(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4 + 321*v**3 + 2037*v**2 - 321*v - 2034 = 0.\nAnswer: -6, -1, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9930.9041 + -1.9041. Let b = y - 9927.51863. Let w = b - 1.48. What is w rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 654 = -3*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97.0013 - -97. Round p to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 1\/12*r**4 + 0 + 0*r**2 + 5*r + 1\/5*r**5 + 0*r**3. Find the third derivative of d(k) wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47633890 and 2250420.\nAnswer: 285803340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 4. Let g be c(4). Let h = g + 1. Suppose 2*w = -w + h. Put w, -4, -5 in decreasing order.\nAnswer: w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17432, 17412, 17398, 17390, 17388, 17392?\nAnswer: 17402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(5\/9)\/d)\/d)**(-35)\/((d*d**18*d)\/d*d*d**(1\/34)))**(-12\/5) assuming d is positive.\nAnswer: d**(-18682\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*h**2 - 43*h**2 + 88*h**3 + 53*h**3 - 24*h + 21*h**2)*(-4*h - 5*h - 5*h) in the form i*h**4 + p*h + w*h**3 + x + j*h**2 and give i.\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k**2 - 2. Let t be q(-2). Solve -t = -5*w - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*d = 15, -d + 4 = -3*d. Solve -l - 1 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.95 - -2.75. What is the third smallest value in u, 0.5, 0.37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + 292192842.\nAnswer: 292192842.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1419 divide 561723597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001155 rounded to 5 dps?\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 118 - -202?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 28 - 61 + 33 + 3*q**2. Let d(o) = -3*o - 2. Let l(p) = -30*p - 21. Let i(h) = 21*d(h) - 2*l(h). What is t(i(m))?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:09 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 2*y + 3. Let z be n(-3). Let l be 3\/6*(z - 0). Let h(s) = -s**3 - 9*s**2 - 5*s + 2. Is h(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 9*u + 49. Let i(a) = 15*a**2 - 2*a - 2. Let w be i(-1). Is k(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -32, 6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4264 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1200 (base 12) to base 16\nAnswer: 7e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138746398?\nAnswer: 2, 3, 356457733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1208 - -1240. What is the least common multiple of m and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*f + 7*f + 2400, -3*f = m - 461. What is the third derivative of m + 5*j**3 + 15*j**3 - 476 + 2*j**2 wrt j?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 11*s**6\/120 - 3*s**5\/20 - 10*s**2. Find the third derivative of f(m) wrt m.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38844 - -494\nAnswer: -38350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 - 382. Let l = b + 79. Let y = l - -82.9961. Round y to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -13 + 2 + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 8, -4, 4, 0.07, 7, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*f - 56*f + 60. What is the hundreds digit of (-336)\/(2\/(-3)*27\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a - 1452 = -72*a. Suppose 30*u = a - 31. Solve u*w = -2*w - 5*q - 10, 5*w + 13 = -4*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18*k**2. Let v(p) be the second derivative of -p**3\/2 - 34*p. Calculate o(v(h)).\nAnswer: -162*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*h + 12, -7*r - 23 = 5*h - 5*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (0\/4 - -173). Let a = 260 - w. Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 161*x - 23. Let c(z) = -z - 1. Let f(s) = -138*c(s) - o(s). Let t be f(7). Solve t*m + 2*m + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -1. Let q(f) = 16*f + 7. Let n(c) = 47*c + 20. Let t(z) = -6*n(z) + 17*q(z). Is t(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1083939, 1083938, 1083937?\n\"Answer: -w + 1083940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.875592018 to three dps.\nAnswer: -0.876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 334.69 - 329. Let u = 0.31 + h. Let m = u + -5.9966. What is m rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {s: 2, p: 5, d: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3595531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-6) - (-2)\/6. Let r = -9653 - -9653. Solve r*n - 10 = g*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -202113024?\nAnswer: 202113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/16610 and 76\/4235.\nAnswer: 1278970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3737 or -5651?\nAnswer: -5651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 - 8)*(-p - 4*p + 4*p + (-181 - 220 + 312)*(5*p + 4*p - 5*p))*(3*p**2 - 2*p**2 + 0*p**2) in the form y*p**3 + i + k*p**2 + b*p and give y.\nAnswer: 4641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/10 and 2\/2095.\nAnswer: 4190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320816 is divided by 267.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b**3*j*r**3 + 16*b**3*j*r - 35*b**3*r**2 - 414*j + 10*r**3 + r**2 wrt j.\nAnswer: -7*b**3*r**3 + 16*b**3*r - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/1)\/((-6)\/(-6)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 40 = 0. Let m = c - 6. Suppose -m*a = -5*a + 195. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/60 - 2*p**4\/3 + p**3\/6 + 5*p**2 - 1. What is h(12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69165 by -2385.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 16*b - 18. Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - -58. Round d to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 9:44 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:53 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -198*p**2 + 2953*p - 85. Determine w(15).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -15917.\nAnswer: -1\/15917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 16*w**3 - 101.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1527 and -420.4.\nAnswer: -64.19508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/55595887 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25141 - 20?\nAnswer: -25201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 59 (b) 789 (c) -2 (d) 3\/4 (e) 0.3 (f) 4\/7 (g) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -3*b + 3*u - 2*u, 4*u - 34 = -2*b. Let n = b - 7. Suppose -n + 1 = -z. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164342411*f + 54846006 wrt f.\nAnswer: -164342411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 - 3*i**2 - 2. Let z = -7 + 3. Suppose 4*m - 8 = -4*v, v = -0*v - 3. Let h(l) = 4*l**2 + 6 + m*l**3 - 2 + 0 - 1. Give z*r(c) - 3*h(c).\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)\/z*z**(-26)*(z*z**(-4)*z)**(-48))**(-2\/25) assuming z is positive.\nAnswer: z**(-1238\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + 6. Calculate the highest common factor of 432 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -14a59?\nAnswer: 14a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 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: Let v(j) = -6*j - 50 - 3*j - 15*j + 152 + 21*j. Determine v(31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8656, -8000, -6914, -5404, -3476, -1136?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31584 + -6193. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**4\/2 - 177*v**3 + 398*v**2 - 255*v + 73\/2 = 0.\nAnswer: -73, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n**2. Let i(m) = -m**2. Determine i(x(o)).\nAnswer: -289*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c + 1. Let z(o) = -6*o - 1. Let f = 86 + -91. Determine f*z(x) - 8*p(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63312.\nAnswer: 2, 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -5, 2, -16 in ascending order.\nAnswer: -16, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = -0*q + 4*q, 2*q + 4 = 0. Suppose x*r - 9*r = 12. Sort 0.5, -2, r in increasing order.\nAnswer: r, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4846992, -211 in descending order.\nAnswer: 4846992, -1, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 47*f**2 - 24. Let h(d) = 330*d**2 - 168. Let c(b) = 15*g(b) - 2*h(b). What is the derivative of c(w) wrt w?\nAnswer: 90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*b**5 + 152*b**2 + 27\/2*b**4 - 171\/2*b**3 - 423\/2 + 159\/4*b = 0. Calculate b.\nAnswer: -1, 2, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 261 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*f**3 + 462*f**2 - 21*f**3 - 74*f**2 - 1225*f**2 - 871*f**2 to h*f**2 + k*f**3 + q*f + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3003 + -3007. Let t = 0 + -1. Let g = 0.34 + -0.04. Which is the nearest to 1? (a) t (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8.5. Let o = -56 - -48.7. Let x = -7 - o. What is the second smallest value in y, x, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1301 - 1278 - (2 - (-1 - (0 + -2))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 501981758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1410 - 1418. What is the closest to 3 in 0.02, 1\/7, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 13 = 3*c, -6 = -2*c - 5*s + 10. Solve -4*m - 1 = -c*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16628.\nAnswer: 2, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*l = l - 7, -2*l = -4*p + 2. What are the prime factors of (-352)\/(-12) - p\/(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - t - 2 = t, -5*t + 12 = 4*m. Is (m\/2)\/(19\/(-209)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 - 6*n**2 + 24*n + 85. Is h(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 726 + -388. Let t = i + -337.9418. Is 0 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 10*i**2 + 30*i**2 - 68.\nAnswer: 20*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 - -138. List the prime factors of 12*-3*d\/48.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 7*g**5\/20 + 13*g**4\/12 - 11*g. What is the third derivative of j(p) wrt p?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y - 89. Calculate p(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 22*q**3 - 2331*q**2 - 93*q - 1383. Give k(106).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {i: 2, o: 4, m: 2, y: 3, s: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1*s*s**(-4)*s**(-2)\/s**(-3)*(s**0*s)**48*(s*s\/(s*s**(1\/11)*s))\/(s**(-3)\/s) assuming s is positive.\nAnswer: s**(560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2699 - 1591. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(832)*-2)*3 + (sqrt(832) + sqrt(832) + sqrt(832) + -1 + -1)*5)**2.\nAnswer: -2736*sqrt(13) + 67753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*p + 430*p + 10392 = -44*p - 448*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15\/2 (b) -3\/2 (c) 129 (d) -0.33 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17843 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from ujkjkpkpkjkpukp.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11332*a**2*b - 46*b - 55 wrt a?\nAnswer: 22664*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 505*j**3 - 2523*j**2 - 32*j + 111. Calculate u(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 695250 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0629 - -0.3699. Let s = z - -153.693. Let v = s + -154.00000097. What is v rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {e: 5, w: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548886 by 6.\nAnswer: -91481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/11760*10)\/(9\/12)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 4*l - l)*(3 + l - 3) + 2 - 2 + 2*l**2 + (-2*l + 2*l - l)*(4 - 4 + l) in the form d*l**2 + f + t*l and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w + 4. Let j(g) = 12*g + 8. Let r(h) = -3*j(h) + 5*k(h). Let s be r(-8). Let x be (-2 - 88)\/(-2) - 0. Do s and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -588 - 122. Let v be (-3)\/21 - (h\/(-14))\/(-5). Solve -8*c - 10 = -v*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46717\/3 + -15417. Let f = y + -1861\/12. Which is the biggest value? (a) f (b) 3 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*l = -30*l - 91*l - 63716 for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3*-2122.8\nAnswer: 6368.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235403 (base 6) to base 2.\nAnswer: -101000010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + 3*sqrt(128) - ((sqrt(128) + 1)*-4)**2) + 0.\nAnswer: 928*sqrt(2) + 8272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j**2 + 0*j - 2\/3*j**3 - 2. Let u(a) = 14*a**2. Give q(u(h)).\nAnswer: -392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.64539 - 0.24539. Which is the biggest value? (a) 4\/5 (b) r (c) -0.0746 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795426702 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:08 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:53 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(704) - (2 + sqrt(704) + sqrt(704))) + sqrt(55)\/(sqrt(15)\/sqrt(3)) - ((4 + sqrt(132)\/sqrt(108))*-5 + -5))**2.\nAnswer: -256*sqrt(11) + 8000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/4 + x**3 - 4*x + 24. Determine n, given that u(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 16*t - 9. Let x = 70 - 88. What are the prime factors of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61384717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325556 and 847714?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 715.5 - 2755226.905\nAnswer: -2754511.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5240210.88 rounded to the nearest ten thousand?\nAnswer: 5240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -79684.22.\nAnswer: -318736.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1176, -2458, -3738, -5016, -6292?\n\"Answer: b**2 - 1285*b + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281445927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 958*t**2 + 4607*t - 150567. Determine j(-953).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*k**3 + 10*k**3 - 8*k**3 + (k**2 + k**2 - 6*k**2)*(-3*k + k + 4*k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.2 in 1\/6, 2\/3, -1\/5, -29\/11?\nAnswer: -29\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*m + 349*m + 110*m + 197*m + 130*m.\nAnswer: 1253*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1502 + 1500.8. Let v = -48 - -53.2. Let x = w + v. What is the third biggest value in x, -1\/3, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 142529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26737 is divided by 1484.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 29 = -5*q, -3*a + 0*q - 2*q + 13 = 0. Let t = 1 + 3. Sort a, t, 0.4, 2\/13 in descending order.\nAnswer: t, a, 0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 19*r**2 + 59*r - 14. Calculate p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 26*n - 35. What is the remainder when y(-18) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -2.3, 651, 1 in ascending order.\nAnswer: -2.3, -2, 1, 6, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -6. Let n(z) = -z**2 + 5*z + 8. Let c be n(p). Let l = c + 6. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 1935*r**2 - 133480*r + 259260.\nAnswer: -5*(r - 298)*(r - 87)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 2*y**2 + 0*y)*(-2 + 2*y + 2) - 14103*y**2 + 4544*y**3 + 14103*y**2 + 2412*y**3 in the form z*y**2 + x + j*y**3 + o*y and give j.\nAnswer: 6952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let d be f(13). Let s = d - -19. Calculate the highest common divisor of 50 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1899*a**3 + 2131*a**3 + 108 - 106.\nAnswer: 4030*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 - ((-2597)\/212 - -12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4923066*m**2 + 7*m - 146243 wrt m.\nAnswer: -9846132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018256929 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 10*d - 10*d + 9*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-131)\/(-6) + ((-13)\/6)\/(-13). Factor -r*k**3 + 12*k**2 + 8*k**2 + 27*k**3.\nAnswer: 5*k**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/9 + 560*u**4\/9 - 696*u**3 + 9778*u**2\/9 + 40583*u\/9 + 7994\/3 = 0. What is u?\nAnswer: -571, -1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(0 + sqrt(72)))**2 + -3)*-4 + ((sqrt(72) + (sqrt(72) - -2*(sqrt(72) - (sqrt(72) - 3*sqrt(72) - sqrt(72) - sqrt(72)))))*-1 + -3)**2 + 1.\nAnswer: 432*sqrt(2) + 5782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - -3133321331?\nAnswer: 3133322030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.097 + 226.903. Let w = -226.8 + n. Sort w, 11\/5, 6.\nAnswer: w, 11\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9545.03 + -405?\nAnswer: 9140.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8995, -17992, -26989?\nAnswer: -35986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 427 - 182. Calculate the highest common divisor of 35 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1)\/((-2)\/(-60)). Let c = 15 - -14. Which is bigger: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 = -p - 4*q, 25 = 3*p - 5*q. Let o = 1783 + -1778. Let w = 22 - 15. Solve 2*j - v = -2, 2*j = w*j - o*v + p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-40)\/(-24)*761760\/100?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 11:07 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 1143?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 11210000022?\nAnswer: -11210000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 19 = 3*t + 17, -2*t - 44 = -4*h. Let p be (-30)\/(-9)*12\/h. Suppose -4*f = -5*f + 24. Calculate the highest common factor of p and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4795 - 5068 = -21*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 10 = 0, 0 = -4*n + 20*v - 19*v - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/81992932 and 29\/70279656?\nAnswer: 491957592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 62, 163, 334, 593, 958, 1447, 2078?\nAnswer: 2869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*a + 1073897 - 78537 = -35*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + -32615?\nAnswer: -33001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6861786, 27447091, 61755920, 109788273?\nAnswer: 171544150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 466663777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**4)\/v)\/v**(2\/5))**39\/(((v*v\/(v*v**(-1)))\/v)\/(v*v**(1\/2)\/v))**(-4\/7) assuming v is positive.\nAnswer: v**(6289\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 10. Let q = -8 - c. Solve 15 = 3*m + q*z, 4*z = z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(4)\/sqrt(2) + 3)**2 - (1*sqrt(32)*-5)**2.\nAnswer: -789 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**28)**(-4\/29)*(k**(-6\/11)\/k)**33 assuming k is positive.\nAnswer: k**(-1591\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3736*q**2 + 115*q - 743084 with respect to q.\nAnswer: -7472*q + 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -c4a64 (base 16) to base 3\nAnswer: -1111220220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - 2*sqrt(1188))\/(sqrt(27)\/sqrt(81)).\nAnswer: -33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 782030959 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 1002?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)\/y**(-4))**27 assuming y is positive.\nAnswer: y**(207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100162 = 98*i - 37*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(11\/3)\/(((n*n*n*n**(-4))\/n)\/(n\/(n\/n**3))))**(-16) assuming n is positive.\nAnswer: n**(-416\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 2, m: 1, t: 2, f: 1, j: 2}. What is prob of sequence mf?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22348*p + 312873. Calculate m(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 568 + -564. Suppose -605 = -m*j - v + 104, 1 = v. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*m**3 + 12*m**3 - m**3)*(-4*m - 6*m - 6 - 12*m).\nAnswer: -616*m**4 - 168*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = 4. Let x be (u\/10)\/((-3)\/30). Solve 6 - x = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 362*l**2 - 15387*l - 7702. Determine h(43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 3*x**2 - 4*x + 2. Determine d(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 13, 1 in descending order.\nAnswer: 13, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015888274 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 259*l - 5719. What is the hundreds digit of t(76)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/8, -437467?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from hawwnaahannshhna?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67055, 137088, 207121, 277154?\nAnswer: 347187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22110211 (base 3) in base 4?\nAnswer: 1200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 15, 16253, 1.\nAnswer: -6, -4, 1, 15, 16253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*t**3 - 2 + (-237*t - 14 + 0 + 14)*(-t**2 + t**2 - t**2).\nAnswer: 235*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*c + 1, -1 = 2*i - 5*c - 13. Suppose -4*u = 2*m - 0*m + 58, -5*m - 187 = -4*u. Let a be (-182)\/m + 2\/(-10). Put -2, a, i in decreasing order.\nAnswer: a, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8648, -8650, -8654, -8660?\nAnswer: -8668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -3*f**5\/20 - f**4\/4 + f**3 - 16*f. Solve i(h) = 0 for h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -121\/20, -23302 in descending order.\nAnswer: 3\/5, -121\/20, -23302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -369 + 384.7. Let a = 15.654 - t. What is a rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001015498949 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 21*w + 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1367, -2649, -3931, -5213, -6495, -7777?\n\"Answer: -1282*i - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 + 7*q**2 - 3*q - 6. Let z be d(4). Suppose z = -5*k + 945. Let v = k + -84. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -3 + 0*b**5 + 3\/2*b**2 + 0*b + 3\/2*b**4 - 1\/6*b**6 - 8\/3*b**3. Factor t(x).\nAnswer: -x*(x - 1)**3*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 5*a + 3. Let r = 0 + -5. Let h = 3 - -7. What is the remainder when w(r) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (1 + (-13)\/4). What is the closest to 0 in -6, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:39 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 203.24193 minutes?\nAnswer: 3.3873655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 7*k**2 - 6*k + 4. Let z be y(-6). Suppose z*r - 20 = 0, 0 = -3*d - 10*r + 5*r + 28. Suppose d - 7 = -2*l. Solve -l*a + 0 - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 smaller than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + ((sqrt(448) + -1 + sqrt(448) + -2)**2 - sqrt(448)).\nAnswer: -104*sqrt(7) + 1799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12547817 at least 12547816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5613, 11261, 16909?\n\"Answer: 5648*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 366268277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, -3, 0.3 in increasing order.\nAnswer: -3, -0.19, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24134a1a - 8?\nAnswer: -24134a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19005.556 - 19041. What is p rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 3\/11 (c) 2\/7 (d) 36.61 (e) -5 (f) -2 (g) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 190158050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1445 - -31725\/22. What is the common denominator of v and 63\/242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**5 - 25*g**4 + 5*g**3 + 85*g**2 - 60*g = 0. What is g?\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*g - 0*f - 6 - 12, -38 = -2*g + 3*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*i - 60 + 6654*i**3 + 878*i**3 - 57 + 131 + 22*i wrt i?\nAnswer: 45192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*q = -12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 5, 0, 10\/7, -4, 151 in increasing order.\nAnswer: -4, 0, 2\/15, 10\/7, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (22 - 21)) + (11 - 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 - -1) - (-12 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 49.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*a*a**(-4\/3)*a)**49\/((a**(-1)\/a**(-1\/2))\/((a**(-5)*a)\/(a\/(((a*a**4\/a)\/a)\/a)))) assuming a is positive.\nAnswer: a**(-1289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/20*((-394)\/4925 - 3224\/(-2800)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 22. Determine l(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, v: 4}. What is prob of picking 1 g and 3 v?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.5, 13244551 in ascending order.\nAnswer: -0.5, 0.5, 13244551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -5, 9, 2 in decreasing order.\nAnswer: 9, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 20, 17*k - 14*k - 2*g = -10. Solve -m + 20 = -6*m + 4*i, k = 5*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2695)\/(-14) + 2\/(-4). Let x be (b\/6)\/(2 - 0). Differentiate 19*k**4 - 89*k**3 + x + 89*k**3 wrt k.\nAnswer: 76*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 bigger than 87330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4236*t + 84652. Give g(20).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.2. Let m = 4 - 4.5. Which is the closest to k? (a) 0.3 (b) -2\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000219 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*g - 3*i + 18 = -179*g, -g = -2*i + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -122, 5, 2 in increasing order.\nAnswer: -122, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 5*r + 2. Let p be c(-3). Suppose -12 = y - 4*y + v, p*v = 2*y - 21. Let f be -4 + 3 - (-3)\/y. Put f, 1, 0.5 in descending order.\nAnswer: 1, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-89 - -24 - -18) - 29\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:09 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 376635 divided by 105?\nAnswer: 3587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 6*v = -20, -q - 3272*v + 3267*v - 27 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 1114, 1676, 2238, 2800, 3362?\nAnswer: 3924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -1\/105*q**7 + 0*q**6 + 0*q + 1\/6*q**3 + 0*q**4 + 0 + 0*q**5 - 3*q**2. Differentiate g(n) with respect to n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1488?\nAnswer: -1487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 2*l + 10. Let o(n) = 4*n**2 - 7*n - 35. Let g(w) = -7*b(w) - 2*o(w). Let v(u) be the first derivative of 0 + 0 + 5*u**2 - 2. Give g(v(f)).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3123352 - 1?\nAnswer: 3123351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87747 - -87602.927. Let r = 144 + t. What is r rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3464 + -13731\/4. Let x = -1423298 + 404207755\/284. Let m = i + x. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.6 + -8.7. Let p = 4 - t. Let k = p - 0.6. What is the closest to 2\/7 in 3, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + 3*o**4 - 2*o**4 + (4 - 4 - 2*o)*(-2*o**2 + o**3 + 2*o**2) + 2 - 2 - o**4)*(-148 - 401 + 1016)*(-o + 3*o + 3*o) - 3*o**5 + 2*o**5 + 3*o**5.\nAnswer: -4668*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.539 in 2, -1, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131394931?\nAnswer: 113, 409, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) 0.24 (c) 1 (d) 5 (e) -388\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 46268 + 46*g**5 - 14*g**5 - 46465 - 322*g. Differentiate u(p) wrt p.\nAnswer: 640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.038 - -21.962. Let w = f + -22.1. Let m = w + -0.9. Is -2\/21 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (17 + -11) - 4 - -9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006469 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21736 is divided by 4345?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3649 - 91224\/25. What is the nearest to -1\/4 in 1\/5, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 7*o - 18. Give l(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (55 + -61 - (1 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 198*i**2 - 5*i + 10. Let y be a(2). Calculate the greatest common divisor of y and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 7 = -1, -5*x - 4 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/104874 and 35\/67823514.\nAnswer: 474764598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 48. Let y = 27 - o. Find the first derivative of 14 + 2*c - y*c - 9*c wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 5 (c) 14 (d) -5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802435 is divided by 18660.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28*k**3 + 3*k**2 + 36*k - 9. Let x(c) = -19*c**3 + 2*c**2 + 26*c - 6. Let t(w) = -5*p(w) + 7*x(w). Give t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 - 35 = 3*a, -2*a - 33 = 5*g. Let i be (4\/(-6))\/(a\/63). Solve -c + 10 = -i*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(99) + 1*sqrt(99))\/sqrt(9) + -1.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 10. Let c be 1 - (2 + w)\/1. Suppose a - c = -0*a. Solve a*d - 4 = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 44*s = 4*t - 4118, 5*s - 5135 = -5*t. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/13)*a**(-21) assuming a is positive.\nAnswer: a**(-276\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -4494 and -106.139.\nAnswer: -4600.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001259509 to seven decimal places.\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s**2)*(-140 + 26*s + 140) - 2*s**3 + s**3 - 5*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5771930 > -5771926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-210))\/((-602)\/(-56) - 11).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (3 - -6) - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:03 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (10 + -6) - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.9. Let f = -6.61 + 0.11. Let u = -6 - f. Which is the closest to 0? (a) -2 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 64 and 1080715.\nAnswer: 1080779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1357712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let x(q) = -1239*q**2 - 5. Let i(v) = 619*v**2 + 2. Let c(j) = 5*i(j) + 2*x(j). Calculate c(b(l)).\nAnswer: 617*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365130*g**4 + 203606*g?\nAnswer: -4381560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157309664 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49\/4 + -5 + 438\/(-73)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 171 + 179 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.253162975 rounded to 5 decimal places?\nAnswer: -0.25316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 5*q - 4. Let x be r(4). Suppose -3*y + x = -6. Suppose -2 = -0*z - y*z. Which is smaller: z or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 0, -0.122?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 - 115. Find the second derivative of 68*l**2 - y*l - 52*l**2 + 6 + 27*l wrt l.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3279144 and 792?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5147517562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 6. Let w(a) = -4. Let v(f) = -2*o(f) + 3*w(f). Let y(h) be the first derivative of -5*h**3 - 1. Give y(v(q)).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 0, -4*p - 2*r + 9 = -3. Let b = 2 + -2. Let x(j) = -3*j + 1. Let q be x(-1). Solve -p*d - 12 = b, 2*l + q*d + 10 = -6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 87 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/70*7*1. Which is the nearest to 5\/7? (a) p (b) 2\/25 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -25.999988. What is w rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -3*m + 0 - 1\/12*m**4 - 1\/20*m**5 - m**2 + 1\/6*m**3. Suppose 0 = c - 3*q - 14 - 1, 5*c + q + 5 = 0. Calculate o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*m + 3015 = -127*m. Let n = 15 + -13. Sort m, n, 5 in increasing order.\nAnswer: m, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6209.9999985039 - 6210. Round q to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-2) + 0\/1)*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29358 and 2563?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/39 + 45\/39. Suppose 0 = -z + 7 - k. Suppose -z = -4*t + 6. Is t at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 19*q**3\/6 + 9*q**2 + 20*q + 23. Determine w(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*t + 300*t + 131*t + 1 + 185*t + 363*t to the form y*t + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 3*(sqrt(125) + 1 + -3 + sqrt(125) - sqrt(125))))**2.\nAnswer: -6750*sqrt(5) + 30150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2977659 - 15495.2?\nAnswer: -2993154.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184112061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8) + (-54 - -120) - (-456 - -453).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2352584*q - 2341737*q + 2 to i*q + u and give i.\nAnswer: 10847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m + 5 - 38 + 43*m + 18.\nAnswer: 2*m - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -42. Which is the third biggest value? (a) w (b) -3\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 925844 + -366744. Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-26)\/(-36))\/((-15)\/315) and 9\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**4 - m**3 + m + 1. Let c(i) = -21*i**4 + 4*i**3 - 6*i - 47. Let d(w) = -c(w) - 6*f(w). Find the first derivative of d(j) wrt j.\nAnswer: 60*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5, -2*n = -5*l + 12 + 7. Suppose -4*m = -n*f + 11, -2*f + 1 = -2*m - 3. Does 14 divide (-28)\/f*(-9)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)*b)\/(b\/(b\/b**(-3)*b))*b**5\/b**(1\/6))**46 assuming b is positive.\nAnswer: b**(667\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213142 to the power of 1\/2, to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, r: 5}. Give prob of sequence rrrc.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4093716 to the power of 1\/2, to the nearest integer?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/7680 and 59\/9.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2412828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:27 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 319, 6, 1, 2, -143, -2 in descending order.\nAnswer: 319, 6, 2, 1, -2, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, f: 1}. What is prob of sequence xx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10203894 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -396, -744, -1040, -1290, -1500, -1676, -1824?\n\"Answer: -l**3 + 32*l**2 - 437*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 71 (c) -12\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151473 (base 8) in base 5?\nAnswer: 3212300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -282, -1056, -2354, -4182, -6546, -9452?\n\"Answer: -a**3 - 256*a**2 + a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) -2 (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, 17, 142, 409, 872, 1585, 2602, 3977?\nAnswer: 5764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*l**2 - 128*l**2 + 9*l**3)*(-45*l**2 + 26*l**2 - 192*l**2 - 35*l**2 - 72*l**2).\nAnswer: -2862*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 7*x**2 + 10*x - 14. Let j = -23 + 31. Let g be q(j). Suppose 0*a + 5*u + 78 = g*a, -156 = -4*a - u. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 8 = -4*m + z, -8 = 2*z. Let d(f) = f**2 + 5*f - 1. Determine d(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*i + 3*i - 6*i)*(108 + 1583 - 318) to the form v*i + a and give v.\nAnswer: 8238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376 or 381?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686 = -50*b + 136 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18364, 18361, 18358, 18355, 18352?\n\"Answer: -3*g + 18367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 184. Suppose -3*h - 2*g + l = 0, 113 + 72 = 3*h + g. Suppose -3*i - h = -4*x, 5*x = -0*x + i + 72. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l + 4. Let g(p) = -15*p + 4. Let d(q) = 3*c(q) - 4*g(q). Let v = 12 + -8. Let k be d(v). What is the greatest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/13)\/(o\/(o*o\/((o\/(o*o**7))\/o))))**(4\/3))**(5\/2) assuming o is positive.\nAnswer: o**(1150\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 374271149 divided by -1?\nAnswer: -374271149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 3, x: 1, y: 1, i: 3, z: 3}. What is prob of picking 2 i and 1 e?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18751, 75315, 169595, 301591, 471303, 678731?\n\"Answer: 18858*j**2 - 10*j - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*n + n**2 - 529*n - 11*n - 120*n.\nAnswer: n**2 - 797*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34125 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -52, 207175 in descending order.\nAnswer: 207175, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 352*z + 3116. Determine c(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41207652 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 11*w - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165143 is divided by 346.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/18*(-8)\/10*(-84)\/56.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i**3 + 1 + 31*i**3 + i + 2*i**2 - 2*i**3 + 10*i**3. Is c(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/48 and -85\/1584?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**6\/180 - m**5\/24 + 7*m**4\/72 - m**3\/12 - 12*m - 5. Factor t(v).\nAnswer: v*(v - 3)*(v - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*(3*(2 + 1 + sqrt(432) + sqrt(432) + sqrt(432)))**2*1.\nAnswer: 46656*sqrt(3) + 841752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 + 2*r**4 + 13*r - 4*r**4 + 3*r**4 + 3*r**2 - 14*r = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 1. Let z(g) = -2*g**2 + 16*g - 12. Let y(d) = 12*h(d) - z(d). Solve y(u) = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-65)\/7 + 4 - 8\/(-28). Let g(w) = w**2 - 3*w - 38. Let z be g(u). Solve z*q = -3*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 349 - 345. Which is the nearest to -8? (a) 1 (b) 2\/15 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 4*y. Let h = -3.3 + 3. Which is the closest to 2? (a) y (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**3\/3 + 17*r**2\/2 + r. Let k be (-1 - (-1 - -2)) + 9. Let i be h(k). What is i rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 5 (b) 15 (c) -2 (d) -11502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1352 = t - 3*x, -x = -3*t + x + 4035. Let s = t + -24253\/18. What is the common denominator of s and 64\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.5 - 86.8. What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3444579 is divided by 492082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*p**3 - 1)*(128 - 333 + 136) - 6*p - 2 + 2*p**2 + 8*p + p**2 + p**3 to b*p**2 + l*p**3 + h*p + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((882\/56)\/3*(-216)\/(-315))\/(12\/(-160)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531*w - 604*w = 219. Put 3331, w, -1 in decreasing order.\nAnswer: 3331, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50\/7 - -3497\/420. Find the common denominator of v and 92\/(-30) + 2\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.99819 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36321 by -3.\nAnswer: 12107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 9*h - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (-11 + 1)*20\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (70\/(-2) + 2)*(-30)\/10. Let g(h) = -10*h**3 + 3*h**2 + h - 1. Let y be g(-1). Calculate the highest common divisor of y and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 6 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2158 - -2161. Which is the smallest value? (a) 2\/11 (b) 0.081 (c) -4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -12*j. Suppose 11*x - 21*x = -20. Let z be (-1)\/((-5)\/20*2). Let h(u) = -32*u**2 + 16*u**z + 15*u**x. Calculate m(h(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x + 103. Let c be m(10). Suppose u + c*u = 2*j - 6, -5*j + 2*u = -23. Solve 5*k + 5*f = -j, -4*f + 6*f - 16 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 761 - 673. Suppose 5*f + 85 = 3*y, 152 = -y + 6*y + 2*f. What is the tens digit of y\/(-45) + w\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-16)*(2 + -6). Let x(t) = -t**3 - 9*t**2 - 3*t - 19. Let g be x(-9). Put g, 3, j in decreasing order.\nAnswer: g, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 4*u**2 - 10*u + 13. Let y be n(6). Suppose -32*v - 2*z = -35*v + 10, -y = 5*z. Sort -126, -2, v.\nAnswer: -126, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - 9\/(-18). Solve 4*g = 3*g - d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaazytaatttaz. Give prob of picking 1 t, 1 a, and 1 z.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 819737 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1491\/(-840) - 0) + 6\/16.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - x - 2. Let z(g) be the second derivative of -g**5\/20 + g**4\/12 + g**2\/2 + g. Let r = -32458 + 32457. Calculate r*s(l) - 2*z(l).\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7434*d**2. Let f(u) = u**2. Determine b(f(h)).\nAnswer: -7434*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from vjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 4*k + 0*k)*(32*k**2 + 368*k - 368*k).\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 895 + -894.99999395. What is f rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1349 + 710. Let k = 644 + r. Suppose t = -1 + 3. Sort k, 1, t in decreasing order.\nAnswer: k, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -1837 - 175. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.025952*-0.2\nAnswer: -0.0051904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 51828?\nAnswer: 362796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124865)\/2938*3\/((-30)\/8).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 162\/2 - ((-65)\/5 - -16). Suppose 0 = 75*a - d*a + 288. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**3 + t**2 + 0*t**2 + 7*t**4 - 8*t**4 - 2 - 3*t**3 + 2*t as j*t**2 + q*t**3 + z + i*t**4 + u*t and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*m + 0*m = 0, -5*q + 3*m = -18. Suppose 4*z + 110 = 5*g - z, -69 = -q*g + 4*z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - 6) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612887384*q - 3 - 612887727*q + 3.\nAnswer: -343*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(44)\/((sqrt(4) - -3*sqrt(4))*-2 + sqrt(4)).\nAnswer: -5 - sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114811?\nAnswer: 1114811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 0*j + 2*j**2 + (-2 - 2 + 2)*(j**2 + 3*j**2 - 2*j**2) + (0 - j + 0)*(-4 + 1 - 2)*(-j - j + 0*j) to f*j + k + a*j**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {f: 4, l: 2, r: 4}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1037*o**3 - 6*o**2 + 24*o - 1888. Let d(b) = 2074*b**3 - 14*b**2 + 54*b - 3775. Let h(i) = -4*d(i) + 9*g(i). What is the derivative of h(x) wrt x?\nAnswer: 3111*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-6)*(13 - 10). Solve -8*q = h + 53 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21990330 at least 21990330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2 - 11) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1064515562?\nAnswer: -1064515554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 4*d + 54, 0 = 5*o - 5*d + 110. Let x = 20 + o. Solve 8 = x*m - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8) + 2 + sqrt(2) - sqrt(2)*1*-2)**2 - (-4 + -3*sqrt(2) + sqrt(2))*-2.\nAnswer: 20*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 292*o**2 - 10270*o - 910. Give s(41).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/7 + 26*l\/7 - 153\/7 = 0. Calculate l.\nAnswer: 9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1423, -1072, -721, -370, -19, 332?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 318.01 + -321. Let h = 3 + i. What is h rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) -56 (d) 1 (e) 0.68 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2984.5554 months to decades.\nAnswer: 24.871295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.62688 to one decimal place.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, -23, -163, -349, -575?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122038549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in -7, -18, 3916, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Suppose -10*a + 8 = -6*a. Let h(b) = 4 + 2*b**a - 4 - 3*b**2. What is u(h(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12626309 to the nearest integer?\nAnswer: 3553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 431219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 48506?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 668, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*c - 383, 3*b - c - 258 = 289. Let h be (23\/(-2))\/(3\/(-6)). Calculate the highest common factor of h and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -42. Let u = 0 - k. What is u rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 52 = -5*y, -y + 5*y + 16 = 4*c. Let f = -6 + c. Suppose -5*i = 3*s - 634, f*s = 3*i + 2*i + 674. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, 203, 560 in descending order.\nAnswer: 560, 203, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8))\/((-420)\/80).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 324*j - 167*j - 158*j. Let m(g) = -3*g - 9. Give m(h(u)).\nAnswer: 3*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, q: 3}. What is prob of picking 2 z and 1 q?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 27821303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, 1 z, and 1 r when four letters picked without replacement from {w: 3, z: 8, l: 2, t: 1, i: 5, r: 1}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l + 63*l + 9 = -3*u, -18 = -2*u + 4*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -10. Let t = v + 0. Suppose -5*n = -3 - t. Solve 5*u - n + 12 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*36\/(-20)*(-3)\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g - 5. Let z = -17 - -7. What is the remainder when s(z) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -4.96.\nAnswer: -5.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 477*s - 132. What is r(-119)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*m = -20, m + 20 = 5*j - j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55.8238 + -0.5562. Let u = -1.38 - s. Let n = u + -54.9954. What is n rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-45) - 1094\/(-18). Suppose 0 = -5*c - 3*j - j + 142, 0 = -2*c - 3*j + w. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 5399503610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + 1 + (sqrt(504)\/sqrt(8) - sqrt(84)\/(sqrt(12)*-2)))**2*6.\nAnswer: 168*sqrt(7) + 2082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 4. Suppose -3 = 4*q + 5, o*u + 6 = -3*q. Is -13*(u - (0 + 1)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + -1.8. Let x = -1 + a. Round x to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 14 = 2*c, 0 = -5*a - 5*c - 15 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-104))\/(3\/12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrppt. What is prob of sequence rt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven fifths of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = 15*n - 53*n + 1716. Calculate the greatest common divisor of n and 803.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 11:09 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 18*l**2 - l. Let i(p) = 2*p - 3. Let z be 7\/(-14) - 1\/2. Let y be (-13)\/(-4) - z\/(-4). Let n(f) = f - 1. Let q(x) = y*n(x) - i(x). Give q(r(m)).\nAnswer: 18*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/8401258?\nAnswer: -3\/8401258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.3135 and -2.67.\nAnswer: 5.6435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2037, 2 in ascending order.\nAnswer: -2037, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, l: 1, q: 2, n: 1, m: 7}. Give prob of sequence nql.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (0 + -4) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. What is the common denominator of -41\/8 and u\/(-10)*130\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/22609600 and 143\/208704.\nAnswer: 67828800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 3*l**2 + 4*l**2)*(4456 + 5620*l - 4456).\nAnswer: -5620*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 8 = 6*d. Let z be -6*(1 + 7\/(-3)). Let t = z + d. Solve t*h + 11 = -5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*s**3 + 1 + (3*s**3 + 4*s**3 - 6*s**3)*(-94 - 286 + 32).\nAnswer: -346*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w - 5. Let u(p) = -11*p + 15. Suppose 68 = -3*a - a - 3*k, -25*k = -23*k. What is a*c(i) - 6*u(i)?\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/4 - 137755*w**3 + 37968580871*w**2\/2 - 2162866596855*w + 246515780074041\/4 = 0.\nAnswer: 57, 275453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570939 is divided by 190146.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t**2)*(4*t - 5*t**2 - 4*t) + (-1 + 1 + 2*t**3)*(-3*t - 2 + 2) + t**4 + 0*t**4 + t**4.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.5. Let w = -40.6 + 40.7. What is the nearest to w in 1\/3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*26\/(-260)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -273*h. Let z(s) = 23*s - 2. What is z(a(n))?\nAnswer: -6279*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i. Suppose -4*h = -c, -9*h + 6 = c - 7*h. Let t(g) be the second derivative of 0 - c*g + 0*g**2 - 1\/3*g**3. Give t(x(u)).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 302259, 302183, 302133, 302121, 302159, 302259, 302433, 302693?\n\"Answer: 2*y**3 + y**2 - 93*y + 302349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 408 = c. Let r = c + 146. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 16*g + 7. Let z = 80 - 72. Calculate the lowest common multiple of z and o(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Let c = 6 - a. Let m = -8 + c. Is -6 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 6*n**2 - 3*n - 10. Calculate s(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 1*(4 - 2 - 1)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*t = 9, 0 = -5*f + 38074*t - 38080*t + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 21 = -17*f. Let q be (-45)\/20 + (-2)\/(-8). Is (26*q - 3)*f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 + 17\/((-17)\/(-10)). Factor 2\/3*b**k - 2\/3*b - 2\/3 + 2\/3*b**3.\nAnswer: 2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 7*u + 48 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 25*r + 50. Let s be b(23). Suppose s*g + 5*p = 7568 - 1356, -5*p = 0. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2354*w - 212213. Give q(-90).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -24 - 8 - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - -135) - (19527 - 19567)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m\/(m**(-9\/7)*m))))\/(m*m\/(m\/(m**(-15)\/m))))\/(m*m\/((m\/((m*m**0)\/m*m)*m)\/m))**(-4\/3))**(3\/11) assuming m is positive.\nAnswer: m**(398\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-360)\/(-2*(-325)\/(-130))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 887 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1943\/2 - -1013. Suppose -4*g + 5*m + 85 = 0, 0 = 3*g - 3*m - 66 - 0. What is the common denominator of (-184)\/(-46) - (-2)\/((-6)\/g) and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 369\/1 + -1 + 7. Let i = z + -368. Solve -5*u + i = -8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (2 + 2*-1). Let z be 2\/(-5)*50\/u. List the prime factors of (-186)\/(-12) + 2\/z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - 17a50c?\nAnswer: -17a51d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -936, -1860, -2782, -3702, -4620, -5536, -6450?\nAnswer: -7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + 12 - w - 22 - 10*w**2)*(0*w - w + 7*w).\nAnswer: -30*w**3 - 6*w**2 - 60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.36 - -0.26. Let h = x + 0.6. Let u = 914\/45 - 184\/9. Which is the nearest to -1? (a) h (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*j - 6, -6 = j + 2*o - 0*o. Suppose 2*y + 4*r = -y - 2782, j*y - 4*r = -3672. Let w = -432 - y. What is w rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/12 - m**3\/6 + 7*m**2\/2 - 9*m. Does 17 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -119\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/60 - r**4\/6 + r**3\/2 - 7*r**2 + 25*r. Determine w(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*z = z + 15, -5*h + 2*z - 25 = 0. Let j = -1.74 + 1.734. Let g = -1.006 - j. Sort -0.1, g, h in descending order.\nAnswer: -0.1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**7\/315 - 7*o**6\/225 + 4*o**5\/75 - o**4\/30 + o + 28. Let n(d) be the first derivative of s(d). Solve n(t) = 0 for t.\nAnswer: 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2652 divided by 156?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w*w**(-17)\/w)\/w)\/w*w*w**8 assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/g**11)\/((g*g**(-12))\/g**(1\/2)))**(2\/5) assuming g is positive.\nAnswer: g**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = -30*t + 576. Suppose 6*w - 7*w = -t. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**2\/2 + 99. Let a be (0 + 1)*2 + -8. Let q(u) = -4*u. Calculate a*q(b) + 22*h(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 49 + 21 = 4*c, 0 = 5*t - 2*c - 350. Calculate the remainder when t is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -26. What is the third derivative of 3*a**2 - 8*a**2 + 14*a**2 + 12*a**2 + 12*a**g wrt a?\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 16) to base 14.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 11:19 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6 + 9 - 9 - 5*d + 1. Let z be c(-4). Suppose 3*q = 4*q - z. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -0.5, 0.268, 0.3, 20489?\nAnswer: 0.268","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**3 + 7*d**2 + 6*d - 4. Let p(x) = -x**3 - x**2 - x + 1. Let a(y) = 3*p(y) + u(y). Give a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21714806 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70589689*d**3 - 68771348*d**2 wrt d.\nAnswer: -423538134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (17 + (18 - 10))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/10 + (-2)\/(-5). Suppose 3*y + 3 = -b*g - 2*y, -21 = -3*g + 4*y. Suppose -z = -g*n + 94, 4*n - 4*z + z - 127 = 0. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(-10))**(-1\/15) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20301181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907401673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 9*f + 3. Let g be b(7). Let l = -81 - g. Let 0*r**4 + 0*r**2 + 0 + 0*r**3 + 2\/13*r**5 + l*r = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, h: 9, y: 4}. Give prob of picking 2 y and 1 h.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 3*i - 7. Let v(n) = -6 + 2*n**2 + 4 + n - n**2. Let p(f) = 4*h(f) - 14*v(f). What is the second derivative of p(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from nynnnttcctlnmnl?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 38*r + 2*r**4 - 34*r - 4*r**3 - 3.\nAnswer: 2*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2*20\/15)*-6. Suppose 4*k + 3 = j, v*k + 8 = -12*j + 8*j. Put 1, 3, -17, j in decreasing order.\nAnswer: 3, 1, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from meemhhhemehhh. What is prob of sequence mheh?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3)*-1*4))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51583052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 1:51 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**3\/6 + 183*d**2\/2 + 118*d - 2. Let i be m(0). Is 183 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.38343 micrograms in kilograms?\nAnswer: 0.00000004638343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 818 + -772.7. Let m = z + -46. Let w = 0.2 + m. What is the third biggest value in w, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(18\/(-3))*(-312)\/260.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3428, 3427, 3418, 3401, 3376, 3343, 3302?\nAnswer: 3253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let m = 31 - 92\/3. Which is the nearest to h? (a) m (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 3*u. Let m be s(9). Suppose 4*h = m + 223. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/38 (b) 5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 34 = -2*d, -4*d - 2*m = d - 76. Let x(n) = n**2 - 8*n + 6. Let r be x(4). Let h = r + d. Solve -l + 15 = h*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let a = -54 - -50. Let v(u) = 5*u + 4. Determine a*m(c) - v(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228043.\nAnswer: 457, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3547*t - 258953. Determine n(73).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02843 and -0.263994.\nAnswer: -0.292424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 140. Let o be h\/6 + 16\/(-240). Sort 3, -30, o, -1\/2.\nAnswer: -30, -1\/2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j + 1. Let a(g) = 5*g**3 - g**2 - 4*g - 3. Give a(w) + 3*n(w).\nAnswer: 2*w**3 - w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 + 2*a + 2. Let c be f(-2). Let j be (-45)\/c*(-8)\/(-10). Let -d + 6 - 6*d**2 - j + d + 2*d = 0. Calculate d.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 2 = 0, -4*r + 133 = 3*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7128 and 18312.\nAnswer: 5438664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 1. Let d be k(16). Let v(w) = 12*w**3 - 6*w**2 - 7. Let h(y) = 35*y**3 - 17*y**2 - 20. Let q(l) = d*v(l) + 6*h(l). Does 16 divide q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 153*f. Let d(n) = -2*n + 35. Give d(m(r)).\nAnswer: -306*r + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178 - -255. Calculate the highest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21284, -42608, -63934, -85262, -106592?\nAnswer: -127924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 875 and 5950?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j + 4*h, 2*j + 0*h - h = 9. Solve 4*u = q + 8, j*u - 3*u - 4 = 3*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xalaxkaaaalklckl. What is prob of picking 3 k and 1 x?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15320.43ng?\nAnswer: 0.01532043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/12, 5, -2, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.036573 millennia in centuries?\nAnswer: 40.36573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 5. Suppose 0 = 3*b + 62 - 32. Calculate the least common multiple of m(b) and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 819.31 * 9\nAnswer: 7373.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7871478 centuries in decades?\nAnswer: 7.871478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7*h - 165. What is the greatest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14b - -21782?\nAnswer: 21634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(2 - 15)*1. Suppose -g + 17 = 5*q - 52, 0 = -5*q - 5*g + c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17*u + 17. Let w be c(-5). Let i = w + -107. Let r = -7 - -9. Sort r, 1, i in ascending order.\nAnswer: i, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, 6, -144 in decreasing order.\nAnswer: 34, 6, 3, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1213590262 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s + 35*s = -14730. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 15*x + 42. What is the remainder when q(19) is divided by (-4)\/(-22) + 196*3\/33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o. Let r(p) be the first derivative of -5*p**2 + 2. Calculate n(r(m)).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -3\/20*f**5 + 0 + 1\/3*f**4 + 0*f**3 + 2*f + 0*f**2. What is the third derivative of t(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -96.458 and -342.44.\nAnswer: -438.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*t + 954, u + u - 649 = -3*t. Suppose 2*j + 3*n = 157, 6*j - u = 2*j - 4*n. Let p = -46 + j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 127863755 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/7425 and -31\/594.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6272.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 321 or 15780\/49?\nAnswer: 15780\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/2)\/27)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1903983569 or 1903983570?\nAnswer: 1903983570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50811763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 24 - m**3 + 0*m + 1\/3*m**2 - 1\/5*m**5 + 5\/6*m**4. Factor q(p).\nAnswer: -p*(p - 2)*(p - 1)*(3*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -7. Let p = 0 + a. Does 10 divide (-120)\/9*p\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {r: 1, g: 5, n: 1, j: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**3 - 2 + 2)*(-6*b + 4*b + b) - 2*b**4 - 3*b**4 + 9*b**4 - 2*b**4 + 4*b**4 + 2*b**4 as f*b + g*b**2 + u*b**3 + w + t*b**4 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 11. Suppose -a = 2*a - j. Suppose -5*c = h - 60, a + 5 = 2*h. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 4*c**2 - 4. Suppose -2*r = 3*r. Suppose -2*j - 2*j + 5*g - 17 = r, -2*j - 3*g = 3. What is the units digit of d(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 139*h + 4432. Let d be w(-32). Put -1, d, -18, -4, -3 in decreasing order.\nAnswer: -1, -3, -4, d, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 122.\nAnswer: -17\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 5*b**2 - 1. Let s be g(-5). Let u be (2\/(-6))\/(s\/60). Let x = u + -8. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y**2 - 24. Let v be j(-4). Let l = -135 + v. Calculate the lowest common multiple of (0 + -1)\/(1\/(-1)) and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 113718.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398*l = 402*l - 1472. Calculate the greatest common divisor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6644 - 3553. What are the prime factors of b?\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2894447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.93209mm in micrometers?\nAnswer: 77932.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 619715659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1812, 3, -2, -5, 1 in increasing order.\nAnswer: -5, -2, 1, 3, 1812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/((x**(-1\/7)*x)\/x))\/x*x\/x**(-4\/3))\/(x**(7\/2)\/x**(-9\/2)) assuming x is positive.\nAnswer: x**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, x: 1, u: 5, e: 1}. What is prob of sequence xg?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - -724. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -15. Suppose 2*u + 8*r - 12*r = 30, -2*u - 3*r - 5 = 0. Solve -g - b = k, -2*k - u*g = -7*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-4 + 1*sqrt(17))**2 - (sqrt(17) + 1 + -1)) + (1*(sqrt(136) - (sqrt(136)*3 - sqrt(136))))\/sqrt(8)).\nAnswer: -99 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8971\/3 + 2990. Let n = 0 - 0. Which is the nearest to n? (a) 3\/2 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168029*n + 168015*n - 504062*n + 168017*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -1\/60*f**5 + 14*f**2 + 0 + 1\/3*f**3 + 0*f - 1\/24*f**4. Give p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 164, 1, 4580 in increasing order.\nAnswer: -0.3, 1, 164, 4580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/7, 85, 2\/7 in decreasing order.\nAnswer: 85, 3, 2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3 - a - a + a - 5. Let o be j(-4). Let u = o + 0. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -1)*(-29)\/(-5) - -2. Suppose 4*j = 4*l - 0*j - 608, 5*l = -5*j + 790. Calculate the greatest common divisor of l and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Let q(a) = 83*a**2. Determine b(q(s)).\nAnswer: -13778*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162*i**3 + 333*i**3 + 325 + 2089 + 1184*i**3 wrt i.\nAnswer: 5037*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78889 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Let u(m) = 8*m**2 - 2*m. Is u(i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 + g**3 + 0*g**3 + 3*g**3.\nAnswer: 4*g**3 + 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37010 and 510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1332, 1200, 976, 660, 252, -248, -840?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 82?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -11\/3, -2\/17, -3, -1\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-2\/5))**(2\/5))**47)**(6\/7))**39 assuming b is positive.\nAnswer: b**(-43992\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -26. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200386 and 10?\nAnswer: 1001930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/85, -2, 1\/5 in descending order.\nAnswer: 1\/5, -2\/85, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -332*g + 319*g + 1651. Sort 3, -1, g.\nAnswer: -1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4642 - (-24)\/6 - 5. Suppose 7*q - z = 819. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34755 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.02143 millilitres in litres?\nAnswer: 0.02602143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 12. Let v be y(15). Suppose 15*x - 9*x**2 - 12*x**4 - 15*x**v - 3 + 18*x**4 + 6*x**4 = 0. Calculate x.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/25? (a) -3 (b) -1 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - -1. Let t be g\/20*210\/(-4). Let h be -4*924\/(-110)*(-50)\/40. Is t less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2349*g**2 - 1175*g**2 - 1177*g**2. Let m(a) be the second derivative of 29*a**4\/12 - a**2\/2 - 47*a. Give m(u(b)).\nAnswer: 261*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1372072174 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -5*r**4\/36 - 25*r**3\/3 + 155*r**2\/6 + 30*r - 8. Factor u(p).\nAnswer: -5*(p - 1)*(p + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 14, 25, 40, 59?\n\"Answer: 2*v**2 + v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + (-14 - -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 27*j**2 - 13*j**2 + 2*j in the form c*j**2 + t*j + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-200)\/(-3))*3741\/86. Suppose -c = -4*l + 4424. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*d + 4*a, -3*d - 4*a + 8 = -0. Suppose -109 = -5*t - 3*b, -2*b + d*b - 94 = -5*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 196, 394, 604, 832, 1084?\n\"Answer: w**3 + 191*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 13*f**2 - 29*f - 9. Let c be y(9). Calculate the greatest common factor of 594 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3930.3871 - -3930. Let a = -0.0241 - x. Round a to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6416.385198 rounded to the nearest integer?\nAnswer: -6416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + 56\/12. Suppose 8 = g*w - 2. Suppose -i + 36 = w*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 30, 0, 2\/3, -0.2, -1, -0.01, 73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3398996 times 0.7\nAnswer: 2379297.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -64*j**2 + 138*j - 51. Determine u(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(63\/(-3)))\/((-8)\/(-84)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2) + 4\/3 + 4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 2*y + 0*y)*((4 - 3 - 3)*(3 + 2 - 6) - 5 - 3 - 4) - y - 4*y + 3*y + (-3 + 4 - 2)*(-2*y + y + 2*y) - 2*y - 4 + 4.\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 384*y - 325*y**3 - 317*y**3 - 384*y - y**2 as k*y**2 + j + n*y + o*y**3 and give o.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2881700 divided by -2.\nAnswer: 1440850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2. Let a(z) = 19*z - 38. Let m(k) = 1. Let q be 12*(-7)\/(-56)*4\/6. Let l(y) = q*a(y) + 38*m(y). Determine l(x(w)).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/12)\/(g*g*g**4*g))\/(g*g**(2\/3))**(-14)*g**(2\/9)*g**(1\/10)*g**(-2\/3)*g**(2\/3) assuming g is positive.\nAnswer: g**(3013\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/5)\/2 + 12. Let g(t) = -t**3 + 8*t**2 + 2*t**3 + u + 9*t + 2*t**2. What are the prime factors of g(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 - 352. Suppose 2*k = 3*w - 6, 0*k = w + 3*k - z. Calculate the least common multiple of w and 186.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -20 + -150 + 143 + 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + ((sqrt(875) - sqrt(875)*1) + sqrt(875))\/sqrt(7) + -5*(sqrt(80) + -2))**2.\nAnswer: -3807 + 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -222fd - b?\nAnswer: -22308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 2:54 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 307760633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/163 (b) 18 (c) -1.3 (d) -5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17275 and 2764.\nAnswer: 69100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -49*r + 5. Let p(l) = -24*l + 2. Let m(x) = -3*g(x) + 7*p(x). Let t be m(-1). Let u be t\/3 + 7\/21. Solve u*w = 2*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1015400 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -0.3, 0 in descending order.\nAnswer: 0, -0.3, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 - 3*n**2 + 5*n - 1. Let h be o(3). Suppose 0 = -s - 10 + h. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - -4*sqrt(156)*-4 - 6*-2*sqrt(156))\/(-4*-4*(sqrt(972) - -1*sqrt(972))).\nAnswer: -sqrt(13)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27871.76 nanoseconds in seconds?\nAnswer: 0.00002787176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267943, 535894, 803835, 1071760, 1339663, 1607538?\nAnswer: 1875379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5836669 and -1789.\nAnswer: -1789.5836669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 15*z**2 - 73*z - 294. Let a be k(-9). What is the highest common factor of a and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, l: 3, c: 6, g: 2}. Give prob of sequence jj.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*s**5\/3 + 4*s**4 + 32*s**3\/3 - 20*s**2\/3 - 16*s - 16\/3 = 0. Calculate s.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (112*w - 112*w + 131*w**2)*(0*w + 0*w + 2*w**2) - 349 - 23*w**4 + 349 in the form l*w**4 + n*w**2 + a*w**3 + f*w + s and give l.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416) + sqrt(416)*-2 + sqrt(416))*4 - (sqrt(416) + (sqrt(416) - (sqrt(416) + sqrt(416)*2*1))))\/((sqrt(132)\/(2*sqrt(6)))\/(sqrt(22)\/sqrt(2)*2)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 + 205*f**4 + 2605*f**3 + 13595*f**2 + 30750*f + 24840 = 0. Calculate f.\nAnswer: -23, -9, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 3, n: 2, s: 1, d: 10}. Give prob of sequence dndd.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1317 + 1322. Let k(f) = 0 - 1 + 1 - 3*f + 4. Determine k(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/6*h**4 - 67\/6*h**3 - 11*h**2 + 0*h.\nAnswer: -h**2*(h + 1)*(h + 66)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 24*z**2 + 9*z - 2. Let t be q(-1). Suppose 0 = -5*v + 5*f + 10, -3*v + t = -2*f + 8. What is the least common multiple of v and 2\/7 + 68\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1484648\nAnswer: 1\/742324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -126*i + 5. Determine w(-1).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 542733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 + 0)\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*a - 6 = 140*a, -4*w + 27 = -5*a. Let o(j) = -j**3 + 2*j**2 + 5*j - 10. Calculate o(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19422 - 19416. Let w(v) be the second derivative of -29\/12*v**4 + 0 - c*v + 13\/2*v**2 + 0*v**3. Differentiate w(a) with respect to a.\nAnswer: -58*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2593*b**3*w**4 - 1315*b**3*w**2 + 6456661*b**3 wrt w?\nAnswer: 10372*b**3*w**3 - 2630*b**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17428*t**3 - 18*t**2 - 5*t**2 - 226*t - 17425*t**3 wrt t.\nAnswer: 18*t - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 10:51 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10067 + 10067 - 105*u**2 + (7*u - 3*u - 2*u)*(-3*u + 0*u + u) + 0 - u**2 + 0 to l + n*u**2 + k*u and give n.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 7:34 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3337889 + -2870970.2. Let o = -466922.799966 + j. Let g = 4 + o. Round g to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**2 - 4*v**6 + 0*v**6 + 8*v**6 wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1112 - 13188?\nAnswer: -14311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 510*i + 119. Let l be h(0). Solve l*a = 47*a - 360 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 511 - -245. Let t = -886.23 + p. Let o = t - -131. Round o to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 3*v - 2. Give h(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275140.8t to grams.\nAnswer: 275140800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q**2 - 1. Suppose 4*c + 19 = 5*r, 4*r - 3 = 9. Calculate x(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*h**3*u**3 + 18*g*h**3*u**2 + 3*g*h**3 - g*h**2*u**3 - 8*g*h**2 + 231*h*u**3 wrt u.\nAnswer: -12*g*h**3 - 6*g*h**2 + 1386*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2044*r - 771*r + 770*r - 876*r as b + q*r and give q.\nAnswer: -2921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*y + 407*p**2 + 541*p*y wrt p?\nAnswer: -4*y + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1589*g**2 + 3168*g + 16. Let c be u(2). Let h(o) = -2*o**3 + 2*o**2 + o + 1. Let k be h(2). Sort -3, -11, k, c.\nAnswer: -11, k, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**2 - 2 + 4 - 2 + 6*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 3*m**2 - m**2. Let j(i) = i**2. Give j(l(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63115009 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: Simplify ((((y\/y**(-2\/9)*y*y)\/y)\/y)**(-1\/9))**3\/(((y**(2\/3)*y*y)\/y)**40\/(y**(2\/3))**(-1\/3)) assuming y is positive.\nAnswer: y**(-1817\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1962)\/12 + -3 - 1\/(-2). Let b = -115 - o. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 16 = 2*l. Suppose 5*o + 10 = 4*o - w, 0 = o + 4*w + 22. Let m = 12 + o. Calculate the lowest common multiple of l and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*n - 19328*i**2 - 4*i*n - 4*i + 275 wrt i.\nAnswer: -6*n - 38656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (132\/8 - 27)*(-48)\/14. What is the highest common divisor of 21 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1 = -207*x + 208*x, -2*x - z - 14 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 3. Let a be t(-6). Let u = 4 - 5. What is the closest to u in 0.1, -4, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 3:36 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*l - 0*l. Suppose 3*a - 2 = -a + 6. Suppose 0 = -4*q + 7 + 9. Sort q, 0, l, a in ascending order.\nAnswer: l, 0, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/35 + 47\/(-7). Let s be (-429)\/(-21) - (-3)\/y. Calculate the highest common divisor of s and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122121 (base 10) to base 11\nAnswer: -8382a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 34*n - 133. Let t be q(8). Suppose -4*p + r + 129 = 0, -5*p + t = -p - 3*r. What is the remainder when p is divided by 30\/2 - 2\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125704 and 2280.\nAnswer: 1885560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 31302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-350) + (-8)\/5 + 2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.2 (b) 994 (c) 11\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(1 - (3 - 1)). Suppose 3*f + j = -6. Is 1 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252466 (base 9) to base 15\nAnswer: -303d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.01, 4, 5, -0.03, 2, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*z = 36, -3*z + 45 = -0*h + 3*h. Let d be (-1 - 11\/(-5))*40\/h. What is the second derivative of -16*o**3 - 2*o + 35*o - 11*o**d wrt o?\nAnswer: -162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j + 0*j)*(2*j - 2*j - j)*(j + j + j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2116072?\nAnswer: 2, 7, 29, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 369 and 843066.\nAnswer: 34565706","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) 10 (c) -3 (d) 2\/9 (e) 0.5 (f) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 2c?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 258*v - 261. Give l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7320 < -24457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 15*q - 12. Let t(g) = -3*g**2 + 44*g - 36. Let r(m) = -6*t(m) + 17*w(m). What are the prime factors of r(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*b = -3*b + 29, -3 = -4*f - 5*b. Let s = f - 0. Suppose -6*a - 29 = -s*a. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:46 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - -2*(1 + sqrt(2448)) - (1*sqrt(2448) + -3)) + -5)*-1 + -3.\nAnswer: -24*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1024809 times -51.8\nAnswer: 53085106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(11) - sqrt(33)\/sqrt(3))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**2 - 8*r**2 + 2 + 0*r**3 + 13*r**2 - 9*r**3. What is the units digit of n(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 105*b**2 - 552*b + 2637. Give y(110).\nAnswer: 2417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/23)*p)\/p**(1\/3))\/(p\/(p\/p**(-1))*p\/(p*p*p**(3\/4)*p)))**(10\/9) assuming p is positive.\nAnswer: p**(5975\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -501, -314, -17, 390, 907, 1534?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 508 = -272. Suppose -5*a - h = -1211. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20186352 to the nearest integer?\nAnswer: 4493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/5 - 27*k**2. Let s(a) = 6*a**2. Determine s(f(m)).\nAnswer: 864*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*n**3 - 1658*n**2 + 1600*n**3 + 1658*n**2.\nAnswer: 1408*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*v - 3. Let g(m) = m**3 - m**2. Let j(s) = -s**3 + 14*s**2 - 13*s + 1. Let p be j(13). Let o be g(p). Sort -1, o, v in decreasing order.\nAnswer: v, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 + 0 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -10*x - 19 + 166 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 10 = 2*g, -8*z - 10 = -g - 5*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 25. Let n be (4 - 1) + 5 + -5. Suppose -b*f = -n*f - 20. Calculate the remainder when 27 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 12*j + 174 = 24. Solve j = -0*a + 3*a - 2*w, 5*w = 4*a - 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Suppose 445*t - 64 = 443*t - 2*a, -2*a - 206 = -7*t. What is the smallest common multiple of k and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 32*l - 140 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 33 = -39 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*q - 343*q = 324*q - 927*q - 3612 for q.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 2*y**2 + 3*y**2)*(-2 + 2 - 2) + (-y + 1 - 1)*(5*y - 5*y + 12*y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. What is the units digit of ((-2)\/k)\/((-10)\/360)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5\/7 + 153*o**4\/7 + 1710*o**3\/7 - 6078*o**2\/7 + 6399*o\/7 - 2187\/7.\nAnswer: 3*(o - 1)**3*(o + 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -267, -255, -243?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 61 + -1 + (-3 - (-1 - (-2 - -2)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/9))**(-13) assuming b is positive.\nAnswer: b**(-91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112131 + 1430?\nAnswer: -110401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -76.1. What is the fourth biggest value in k, 3, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42090502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4100 and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -123. Let h be (y\/21)\/((-13)\/3 - -4). Which is the biggest value? (a) 2\/15 (b) -0.3 (c) 0.1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6541.49961 rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - -33) + -34 + 27?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-224) + 2 + (-36)\/14\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59707248 to the nearest integer?\nAnswer: 7727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from keqeqpqqqlqppll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 22*c - 5. Determine t(5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436359297 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1\/6, -7, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441 (base 15) in base 6?\nAnswer: 123154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 + 1 + 2*b**3 - 4*b**2 + 1 - 12*b**4 + 10*b**4 in the form z*b**3 + k*b**4 + l*b + d*b**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 494 * -9\nAnswer: -4446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t - 19*t + 48 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -223 + 215 + (4 - 2 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50.9, 105\/2, -0.1, -0.3.\nAnswer: -0.3, -0.1, 50.9, 105\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = v - 34, -2*v - v + 5*t + 46 = 0. Let o = v + -23. Which is the second biggest value? (a) -0.1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272542539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.179535 - -2.15183741. Let d = -0.0277 - r. Round d to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*i - 0*i, 4*k + 18 = i. Does 18 divide (89 - (k + 1))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56055437 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 p, 1 q, and 1 f when four letters picked without replacement from gppgirfqi?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-8 - -4) + (21 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**(1\/11)*y))**(-34)\/(y\/((y*y**(-14))\/y))**(1\/42))**(-13) assuming y is positive.\nAnswer: y**(-141609\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 893 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 9*c - 2\/3*c**3 + 1\/20*c**5 + 0 - 11\/2*c**2 - 5\/12*c**4. What is the remainder when 1 is divided by z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(-r**2 + 3*r**2 - 3*r**2)*(0 - 26 - 3) as t*r**2 + c + d*r and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (8897*l - 240 - 115 + 355)*(0 - l + 0)*(1 - l**2 - 1) in the form p*l**2 + i*l**3 + t + o*l**4 + n*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10) + (4 - (4 - 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8949.6 + -7.123?\nAnswer: 8942.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5 - 32*x**4 - 80*x**3 - 64*x**2.\nAnswer: -4*x**2*(x + 2)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(1 + sqrt(1872))*6*1.\nAnswer: -360*sqrt(13) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 - 7 + i + (-10*i + 11*i - 7*i)*(2 + 2 - 1) as n*i + w and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 6. Suppose -2*z = 5*z. Determine q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/3)\/(21\/144)*(-2)\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 65*z**2 + 72. Let w be n(-65). Solve -5*o + 3 = -2*q, -q - 73*o = -w*o - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/10 - (1 + -97). Suppose 55 = 4*z - 21. What is the highest common factor of f and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 414 + -411. Let q be (-21 - -25) + 6\/(-2) - -4. Solve j = -2*d + q, 30 = -4*j + 5*d - v*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(1\/(-10)). Let x be (-1 - 0 - g)*1. Suppose 0 = 2*r - x + 2. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20159c (base 13) in base 7?\nAnswer: -6224135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*q + 70 = 0, -69*g = -89*g - 3*q - 280 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 153, 232, 311, 390, 469?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84999 is divided by 1000.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2230122?\nAnswer: 2230123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1144187\/35 - -32693. Let v(i) be the second derivative of -33\/7*i**4 + 81\/14*i**3 - 32\/105*i**6 + 0 + 24*i - 27\/7*i**2 + z*i**5. Factor v(g).\nAnswer: -(g - 2)*(4*g - 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*p + 29. Let n(l) = -15*l**2 + p*l + 15*l**2 - 2*l**2. Let k(v) = v**2. Calculate k(n(y)).\nAnswer: 4*y**4 - 72*y**3 + 324*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -186 or -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -8*p - 9. Let s(g) = g - 2. Let y be s(2). What is the third smallest value in p, -3, y, -4\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5824 and 30576.\nAnswer: 122304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4511.23591 to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 11. Let p be d(-2). Suppose 192 = p*h - h. Let t = h - 29. Let a(b) = -b**2 - b + 1. Give a(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y)\/(y**4*y)*(y**(-9)\/y)\/(y\/(y**(-5\/3)*y)) assuming y is positive.\nAnswer: y**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3261 and 79\/33.\nAnswer: 35871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9181 + 321. List the prime factors of t.\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2*f**4 - f**2\/2 - 8. Let r be d(1). Solve -r*m + 5 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.31 - -12.31. Let h = -8 + v. Are h and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 42983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-2)\/(-23214)*-3). Round y to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2. Let q(a) be the second derivative of a**3\/3 - 45*a**2\/2 - 226*a + 1. What is q(j(p))?\nAnswer: 6*p**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/22)\/(5\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-391 - 4)\/(-5). Let s be 4\/25*-1*o\/30. Which is the third biggest value? (a) s (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10)*455\/13)\/10?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5075 + -1205?\nAnswer: -6281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.195.\nAnswer: 0.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8)\/(x*x\/x**(-9)*x))**(-7\/5))**12 assuming x is positive.\nAnswer: x**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -677 - -135. Let l = 544 + v. Solve l*w - 2*j = -2, 0 + 2 = 4*w + 2*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222102002121202 (base 3) in base 2?\nAnswer: -110101100010101110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/4 + 12)\/(15\/(-24))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18409 (base 12) to base 4\nAnswer: -20211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let z = -1.41 + 1.91. Which is the second smallest value? (a) -15 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 12*b**2 + b - 17. Let d be p(12). Let f = 9110 - 9114. Sort f, -17, d in ascending order.\nAnswer: -17, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 10 + 7)*(-d - 2*d + 2*d) + (36*d + 53 - 95 + 47)*(2 - 3 + 0) as z*d + c and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 30. Let q = i - -35. Suppose -2*m + q = 3*m. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/33))\/i)\/i**(-25) assuming i is positive.\nAnswer: i**(827\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.1. Sort 6\/7, -0.3, q, 2\/13 in descending order.\nAnswer: 6\/7, 2\/13, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557616541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1088) + 2 + -2)**2 + (sqrt(1088) + 2 + 3)*5.\nAnswer: 104*sqrt(17) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2117893, -2117880, -2117867, -2117854?\n\"Answer: 13*c - 2117906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 730 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*z - 28 - 3, -3*z + 39 = 5*m. Solve -m*s - 746 = -755 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24259 rounded to 3 decimal places?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54b6 + -9?\nAnswer: 54aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135671 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6997713?\nAnswer: 3, 433, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 60. Give c(13).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.6. What is the nearest to -0.2 in 1\/2, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81 or 71?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = -0. Let r(m) = m**3 - 12*m**2 + 14*m - 12. Let d be r(10). Let i = d - -147\/2. What is the closest to 0.02 in i, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from cqfkccfcs.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9172534 decades in centuries?\nAnswer: 0.09172534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 + w**2. Let r(f) = 4*f**3 + 2*f**2 + 1. What is -3*l(o) + 2*r(o)?\nAnswer: -o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i - 42 + 11 + 31.\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (26 + (25 - 44)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -6 + 7. Let o be 7\/7*(-1 + b - -1). What is the first derivative of o - 19 + 2 + 2 - 11*r**3 wrt r?\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -37. Solve -o = -6*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/150 and 71\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4.83, -4, 0.546?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 + 151. Suppose -h + q*h = 3*l + 23, 0 = 5*h - l - 115. Calculate the remainder when 83 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19 (b) -30 (c) -0.3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.22 and 4292.7.\nAnswer: -9529.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + -0.2. Let u = 0.197 + 1.803. Let l = 16 - 19. What is the closest to t in l, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/6)*d*d)\/d)\/(d\/((d*d**(3\/25))\/d))*(d\/d**(-9))**(-13\/4) assuming d is positive.\nAnswer: d**(-2441\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30391307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423625288 and 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6 + -3. Let k = r - 0.1. Let s = -230 + 3448\/15. Which is the nearest to -0.1? (a) s (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3701 + 3700.9998331. What is a rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 45623643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340 + 150*l**3 + 340.\nAnswer: 150*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 + 120*l + 18. Let h be n(20). Solve 2*p + 5*s = -h, 0*s + 5*s = -5*p - 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -22. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15946, -15955, -15968, -15985, -16006, -16031, -16060?\nAnswer: -16093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -0.048711.\nAnswer: -0.548711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015605\/8 smaller than 126950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -489, 3, 131\/4 in descending order.\nAnswer: 131\/4, 3, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67845, 67815, 67769, 67707, 67629, 67535?\nAnswer: 67425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-67 - -65) - -26*3\/(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-10) - (-4)\/120*6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-60) - (-2)\/2*23\/(-92)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + 7 + -7 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 98 = -104, 0 = 3*q + w + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -426, 34834, 1 in descending order.\nAnswer: 34834, 1, -5, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 8742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3156623781?\nAnswer: 3, 353, 2980759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26732.\nAnswer: 2, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) - (sqrt(76) - sqrt(76)*1))*6*-5)\/(-5*(sqrt(324) + -2*-1*sqrt(324))).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23005, -45971, -68937, -91903, -114869, -137835?\n\"Answer: -22966*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(200))**2 + (sqrt(1296)\/sqrt(8) - sqrt(2))*1.\nAnswer: 8*sqrt(2) + 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 132\/10 + (-6)\/30. Let h(p) = 4*p - 4. Let c be h(s). Let r = c + -22. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -7, -5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69840137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*p*r*u**2 + 7*p*r*u + 78*p*u**2 - 2*p*u - 312*r*u wrt u?\nAnswer: -66*p*r + 156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405 is divided by 464.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0*u**3 + 0 + 0*u**2 - 3*u - 1\/12*u**4. Let s(j) be the third derivative of -j**5\/6 + j**3\/3 + j**2 + 19*j. Give m(s(k)).\nAnswer: -100*k**4 + 40*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/70)\/(64\/(-160)*(-45)\/(-10)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/(-4) + 5)*(-8)\/3. Let s(f) = -1. Let h(l) = -2*l**2 + 3*l - 4. What is k*s(r) - h(r)?\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**3\/6 + 2*l. Let k(o) = o**2 + 4*o + 4. Let r be k(-3). Let n(c) = r - 3*c**2 - 1. Give n(w(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 20933153*p**2. Let x(j) = j**2. Calculate x(r(u)).\nAnswer: 438196894521409*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9450 and 1512.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 4. Let s(n) = n - 1. Let p(q) = 3*s(q) + z(q). Let t(u) = 4*u - 1. Let x be t(-1). Does 6 divide p(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (2 + 0 - 0). Let l = 15 + q. Suppose -40 = -2*s - l. Calculate the greatest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 19*n**2 + 36*n + 42. Calculate f(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 9*j**2 + 16*j + 9. Calculate t(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 12*i**2 - 567*i + 1090. Let z be l(2). Factor z*v + 3\/2*v**2 + 24.\nAnswer: 3*(v + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1326 and 680.\nAnswer: 26520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + 1 + 5 - 1 - -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -157 (base 14) to base 12\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3*f + 28, 137*o + 14 = 129*o + 3*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.3, 0.2, -3, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 + 18*x + 57. Let v(w) = 11*w**2 + 27*w + 85. Let m(a) = 8*c(a) - 5*v(a). List the prime factors of m(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 - 21*w**2 + 3*w - 100. What is the thousands digit of y(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -402 (c) 2\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -26*a + 158. Let r be l(6). Is r <= 48\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -4 - 0) + -144 + 147.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01566445 to four decimal places.\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333311 (base 5) in base 11?\nAnswer: 19597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1 - -1) + (4 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0262058318 and 0.15?\nAnswer: 0.1237941682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2130)\/(-2280) + 45\/(-36)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.143*-3.7.\nAnswer: -0.5291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - (-1 + -5) - (7 - 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2518 - -200.7482. Which is the nearest to -0.1? (a) 0.2 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 54*u + 1062. Give y(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*t - 80, -4*x = -3*t - 102 + 27. Let p = 36 - x. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163911722 less than 163911723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(-60)\/(-2600)*6\/(-9)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 divided by 15?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2435224974.0000061 - -2435224842. Let p = 132.128 - 0.128. Let n = p + j. Round n to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-147)\/(-14)) - (-10)\/18.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*v + v. Let m be (v\/6)\/((-6)\/(-4) - 2). Sort 0, m, -4.\nAnswer: m, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226 and 4859?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1896 + 530. Is (o\/(-8))\/(58\/(-232)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y - 2. Let l be v(-2). Suppose l*a - 3*n + 147 = 0, -4*n + 5*n = a + 37. Let h = -14 - a. What is the smallest common multiple of 8 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 1}. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:37 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 455, 928, 1415, 1922, 2455, 3020?\nAnswer: 3623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 967.2203 millimeters in centimeters?\nAnswer: 96.72203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1231*o**5 + 10*o**3 + 828*o + 5. Let j(i) = 1232*i**5 + 12*i**3 + 827*i + 6. Let w(a) = 5*j(a) - 6*s(a). Find the second derivative of w(g) wrt g.\nAnswer: -24520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 556, 574, 598, 628, 664, 706?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1215 rounded to 3 dps?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4179163 rounded to the nearest 10000?\nAnswer: -4180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**5\/5 - 27*u**4\/4 - 95*u**3\/3 - 69*u**2\/2 + 5624. Factor y(d).\nAnswer: -d*(d + 1)*(d + 3)*(d + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4105 - 1616*p + 4834*p - 514 + 1938*p wrt p.\nAnswer: 5156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -705, -0.16, -1, 5, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 7641*x**2 - 5*x**3 + 2*x - x - 4 - x**3.\nAnswer: -5*x**3 + 7641*x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3496715554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2469*a - 209. Determine i(0).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 320?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-10)\/266)*-3. Suppose -7*f + 441 = -k. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55 + 5?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 2*m + 13 + 0*m**2 + 1\/6*m**3. Let g(w) = -93*w. What is g(v(b))?\nAnswer: -93*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - x = 44, -7*x + 2*x + 53 = -3*a. Let z = 295\/6 + -47. What is the common denominator of 75\/a - (-2)\/4 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*i**3*j - 55*f*i**3*l + 3*f*i**2*l**2 - 5*f*i*j*l - 2*f*i*l**2 + 4*i**2 - 58*i*j*l**3 - 2*i*l**3 with respect to j.\nAnswer: -f*i**3 - 5*f*i*l - 58*i*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)*(c**(-1\/8)*c)\/c*c)**5 assuming c is positive.\nAnswer: c**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105.927 + -104. Let m = w - -0.073. Sort m, 3\/2, 4, 3 in increasing order.\nAnswer: 3\/2, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-1))\/(24\/18). Let q be (d + -2)*6 + -3. Let x(j) = -j**2 + 3*j + 5. Let o be x(4). Put -3, q, o in increasing order.\nAnswer: -3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 + 5*y + 3. Let j be k(-2). Let p be (6\/4)\/(j\/1). Let r = -7 - -12. What is the second smallest value in p, -2, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7 = t, 0*d = -4*d - 3*t + 11. Suppose -g = 4*g. Suppose -d*z + g*z + 506 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281260261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 71*f**2 - f - 23. Let l(h) = -h**2. What is i(l(d))?\nAnswer: 71*d**4 + d**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(30)\/sqrt(6))*2*-2.\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 158?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9482 + 0.0518. Put 4\/9, 0.05, z, -4 in descending order.\nAnswer: z, 4\/9, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 1 - 2*k**3 + 25 + k**2. List the prime factors of d(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 994*l**2 - 2 + 1774*l**2 - 984*l**2.\nAnswer: 4*l**3 - 204*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 21*b - 13. Suppose 0 = 3*f + 189 - 231. Let x be t(f). What is the highest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 40 = 12*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 - 3*x**2\/2 - 2*x - 11. Let y be u(5). Suppose -y = -2*h - 3*h + 2*t, 3*t - 11 = -4*h. Which is smaller: h or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 174 in 0, -5, -0.5, -4, -1, -71728?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*s + 9 + 15, -44 = -4*l - 3*s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22139 and 1144416?\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - x - 1. Let m be t(-1). Let a be (m\/(-2))\/((-12)\/(-16)). What is the units digit of (3 + a)\/(-1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3 + 10*f**2*q - 29*f*q + 2166*q wrt f?\nAnswer: -3*f**2 + 20*f*q - 29*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/42 and -29\/208305.\nAnswer: 2916270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.12 and -36.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s**5 - 6040*s**4\/3 - 3698*s**3 + 2368*s**2 + 8536*s\/3 + 448 = 0. Calculate s.\nAnswer: -2, -8\/15, -1\/5, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125152210 - -3?\nAnswer: -125152203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 298405381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -10*j**3\/7 - 204*j**2\/7 - 270*j\/7 - 76\/7 = 0.\nAnswer: -19, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2) + (-1)\/(-1). Let u(s) = -3*s**3 - 3*s - 2. Let a(t) = 13*t**3 + 13*t + 7. Let z(n) = 2*a(n) + 9*u(n). Calculate z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4328 = -k, -4*k + 3*q = -8*k + 17305. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000132151 to six decimal places.\nAnswer: 0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189373453?\nAnswer: 401, 472253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (sqrt(539)*1)**2) + (sqrt(33)*1)\/sqrt(3) + sqrt(11) + sqrt(539) + -3 + 2 + sqrt(539).\nAnswer: -540 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j - 25. Suppose n = -4*n + 15. Let i(m) = 5*m - 1. Let b(s) = -4*s + 1. Let u(x) = n*i(x) + 4*b(x). Calculate u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, -575, -720, -931, -1208, -1551?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10432836 to the nearest 1000.\nAnswer: 10433000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 18. Let o be y(-15). What is the second biggest value in 0, 0.4, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201778799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 334950989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from accacaaaaacwccayucaw. Give prob of sequence auw.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -385.07 + 385.070018529. What is h rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601246469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5573 divided by 145?\nAnswer: -5573\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77227 (base 9) in base 7?\nAnswer: 302215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3 + 128. Calculate the least common multiple of 10 and (3 + a)*1\/(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1756 and -151\/66264?\nAnswer: 29089896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 32 = 24*f. Suppose -5*g = 6 - 176. Let d be (-3)\/15 - g\/5. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - u**3 + 4410*u**2 - 4404*u**2 - 6*u**3 to g*u**3 + f*u**2 + b*u + o and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbqtwttb. What is prob of sequence tbw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10590 - -11182. Calculate the greatest common divisor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -126, -241, -398, -597, -838?\n\"Answer: -21*o**2 - 52*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*t - 25, 0 = 5*t + 2*y - 8 + 38. Let v(k) = k**2 - 3*k + 4. What is v(t)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-10 + 12 - 4) + -12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 723 = 5*s, 0 = 12*s - 11*s + n - 153. Solve s - 123 = -4*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/13, -2, -0.2001, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + (1 - -2)) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-1 - (-3)\/9). Suppose 0 = -j - 4*g + 24, 5*j - 3*j = g + 48. Solve c*w = -3*q - q - 6, -5*w - q = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-6 + -8 - -2) + (56 - 2) + -7?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -15. Let k be (-36)\/j + -1 + 1. Solve k*m = 3*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l - 1 - 1\/6*l**3 - 2\/5*l**5 + 1\/2*l**4 + 0*l**2. Let k(r) = 0. What is r?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(325) + -5 - (sqrt(325) + (0 + sqrt(325) + -2 - sqrt(325)) + sqrt(325))))**2.\nAnswer: 1920*sqrt(13) + 83344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76? (a) -8\/513 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n - q - 7 = 40*n, 3*q + 7 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 - ((-108)\/(-16) + 5). Let z be 27\/c*64\/(-12). Let b(k) = k + 30. Let g be b(0). What is the greatest common divisor of z and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/25476 and -113\/528.\nAnswer: 101904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4 - 938942*c**3 + 220403958781*c**2 - 440805100740*c + 220402080900 = 0.\nAnswer: 1, 469470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t - 2*t**2)*(4 + 9 - 7).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 30 = 4*a, 9*a = 4*u + 6*a + 29 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -g + 18, a + a = -4. Suppose 5*y - 16 = t, -y + g = 4*y + t. Solve -2*v + 3*f = -f - 10, -3*v = y*f + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {b: 1, x: 1, n: 3, s: 2, f: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 64. Let c = -0.469 - 0.031. What is the nearest to 2 in 0.5, c, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.52 and 1?\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(0 - 2 + 5)*(5*j**3 - 3*j**3 - 3*j**3).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15988*n**2 + 37907*n**2 - 21929*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313 + 0.25.\nAnswer: 313.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 184 = 3*f - 187, -n = -4*f - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3065 and -0.17.\nAnswer: 0.052105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-67 + 38 + 65)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/25 or 153\/25?\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 18677?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481 divided by -3.\nAnswer: 481\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g - 3*w + 18 = 0, 4*g - 5*w = -12. What are the prime factors of (g\/6)\/((-4)\/(-948))?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11158488*j**3*m**2 + 123*j**3*m + 31*j**3 - 4*j**2*m**2 - 2*j**2 + 300*j wrt m.\nAnswer: 22316976*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*((-1)\/(-3))\/(48\/(-144))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 9*t**2 - 9*t + 9. Let b be (11\/(-4) - -2)*-8. Suppose b*z - 40 = z. Let w be q(z). Solve w = 5*i - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**2\/2 - 6. Let k(v) = -8*v. Let f(s) = -39*s. Let d(y) = 5*f(y) - 24*k(y). Give d(q(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-11)*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -134108*v. Let y(x) = -3*x + 148. Calculate b(y(z)).\nAnswer: 402324*z - 19847984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4492406.\nAnswer: 2, 23, 61, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 + -165. Which is the third biggest value? (a) 1 (b) 3 (c) z (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 + -1.5. Are k and 0.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 7, v: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k**2 + 9*k + 5. Let p(s) = 14*s**2 - 25*s - 13. Let o(u) = -12*u**2 + 27*u + 14. Let n(h) = -6*o(h) - 7*p(h). Determine -5*n(y) + 7*r(y).\nAnswer: 11*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-70)\/(-7))\/(-2 - (-26)\/12). Let p be (-1)\/3 + (-322)\/(-21). Calculate the highest common divisor of p and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*g - 6 = 0, 0 = 2*z + 5*g - 6 - 3. Calculate the smallest common multiple of 68 and z.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 121*((-2 - -4) + -1). Let p = j - 84. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7 = -13, 3*b - 95 = -5*t. Suppose -t + 62 = r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2\/3 - 30949160*s + 92847484\/3 = 0 for s.\nAnswer: -23211871, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.91 - -5.41. Let y = r + -10.5. What is the third smallest value in y, 1\/8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/105 + 3\/(-15) + (-354)\/(-45)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.8420008697 + 7.842. Round n to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:24 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2182 and -7.\nAnswer: 1.5274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-8) + 4714\/(-192). Let t = x - -523\/32. Let i = -5530 - -33259\/6. Find the common denominator of i and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 764, 1533, 2304, 3077, 3852, 4629, 5408?\nAnswer: 6189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37983476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-128)*(-39744)\/7452?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**2\/7 + 1440717*i\/7 - 480240\/7.\nAnswer: 3*(i + 160080)*(3*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.71 + 35.431. Let b = 3.7 - d. What is b rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose -2*j - z*u = -42, -32 = -2*j + 3*u + 10. Let m be (-6)\/j + 90\/21. Solve -b - 7 = c - 3*c, 5*c + 15 = -m*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 19656?\nAnswer: 98280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ardffradbydrayr. What is prob of picking 1 r, 1 d, and 1 y?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/400 and 13\/5?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36528 and 24352.\nAnswer: 73056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:04 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1388b (base 12) to base 2.\nAnswer: -110101000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 14. Let t be (w - -599)*(2 - -13). Let g = 134699\/15 - t. Calculate the common denominator of -16\/9 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3 = 2, -2*q + 14 = -4*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.3341992ms to hours.\nAnswer: 0.000001481722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -46, -78, 0.1, -5\/4, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-27))\/((-2)\/(-15)). Let i be 4 + z - 4\/(-1). Suppose -8*d**3 - 21*d**4 - i*d**3 + 6*d**2 + 12*d**3 + 14*d**3 = 0. Calculate d.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let x(r) = 112*r. Give 504*j(t) - 4*x(t).\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 654, 429, -122 in decreasing order.\nAnswer: 654, 429, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 69542, 1\/6, 2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3701)\/9 + 8\/36. Let b = c - -4516\/11. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -270 + 275. Solve l*g + 10 = 10*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -t - f, -460 = -4*t - 3*f + 2*f. What are the prime factors of t?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, u: 9}. Give prob of picking 2 u.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22416 (base 12) to base 15.\nAnswer: d74c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 107. Let x be 2\/7 + a\/(-84). Let p(r) = -r + 4. Let y be p(3). What is the nearest to 1 in y, -1, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -13821, -1\/24, 0.3, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 10 (c) -5 (d) 0.131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 187, 175, 141, 73, -41, -213, -455?\n\"Answer: -2*f**3 + f**2 - f + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.034375255347 and -1.225?\nAnswer: 1.259375255347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -17*g**2 + 1. Let o(n) = -38*n. Give i(o(p)).\nAnswer: -24548*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113\/1001 + -2\/91. Which is greater: -0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27 + 13 + u + 57*u**5 + 2*u - 2*u wrt u?\nAnswer: 1140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 181. Let b = -138 + d. Let u = 69 + b. Solve u = -2*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/590 and -65\/7958.\nAnswer: 2347610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415754*m**4 - 2*m**2 - 13478*m wrt m.\nAnswer: -9978096*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*l**2 + 15*l**2 - 19*l**3 + (2 + 0 + 0)*(4*l**3 - l**3 - 5*l**3) - l**3 + 0*l**3 - l**3 + 3*l**3 - 2*l**3 + l**3.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 6. What is the closest to 1 in u, 0, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2 + 2)*(-115*u**2 + 293*u**2 + 310*u**2).\nAnswer: -488*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 1 = -5*b. Let u = -166 + 174. What is the greatest common factor of b and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) -0.2 (b) -11 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7067 - 0.3.\nAnswer: 7066.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 643356 = -27*p. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h - 2. Suppose 0 = -4*p + 2 - 2 - 20. Which is the nearest to h? (a) p (b) -1 (c) -4 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -34. Suppose 1157 = i*b - 2603. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -15306724?\nAnswer: -45920172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 68. Suppose v + z*v = -20. Let g(w) = -w**2 + w + 1. Let b be g(-2). Is v at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = -4, -2*u = -5*y + 74. Let x = 36 + y. Let q = 102 - x. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171 - -174. Let c be (-5 - -4)\/(6 + 1\/2). What is the second biggest value in t, c, -2, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 395, 1263, 2957, 5753, 9927, 15755?\nAnswer: 23513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from ufffuuuufuiuufiu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 49 + 79. Let t = -15 + 20. List the prime factors of (-506)\/s - (-2)\/t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(196)\/(sqrt(14)\/sqrt(2))*3)**2.\nAnswer: -1072 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i + 288 = 51*i. Suppose -2*v + i = 2*v. Calculate the greatest common factor of 64 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -879*n**3 + 7*n**2 + 35*n - 25. Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101610140 to the power of 1\/2, to the nearest integer?\nAnswer: 55692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 147*a - 2794. Let f be d(19). Let k(t) = -t**3 - 8*t**2 + t + 4. Let j be k(-8). Sort -21, -3, f, j in descending order.\nAnswer: f, -3, j, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 2, c: 2, n: 1, e: 3, j: 4}. Give prob of sequence buj.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r**2 + 16 - 16 + (6*r - 3*r - r)*(-2*r - 3*r + 0*r))*(-2*r + 4 - 4) + 2*r - 2*r**3 - 2*r.\nAnswer: 46*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - p + 37 + 15, 3*k - 5*p + 162 = 0. Let x = k - -49. Solve -r = -x + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523260 divided by 6460?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-50)*5\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 886 - -290. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -38. Suppose -l*h = 15 - 0. Sort h, 3, 5, -2 in ascending order.\nAnswer: h, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49708 divided by -172\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -2196501.1.\nAnswer: 2196501.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817 (base 16) in base 8?\nAnswer: 14027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + 29 + -8 + 12 + -7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-18) + 4308\/(-72). Which is smaller: -12 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 289593 - 179970. Let x = g - 173623. What is x rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 0*i + 2*i)*(0 + 1 - 3)*(-293 + 971 + 319) as z + w*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 + 707 = 70*o - 11*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-9))\/((-6)\/9). Let t be 14*(z - (-3)\/2). Suppose -2*s - 20 = -t*s. Solve -c - c = -s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16390402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (328\/(-6))\/((-10)\/15). Suppose -3*u + 4*q = 241, u - 3*q + y = -0*q. Let s = u - -155. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from yyysyysyssysxys.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -61*y - 3847. Let d be n(-63). Let i(r) = -5*r**2 - 17*r + 5. Let x(l) = -6*l**2 - 18*l + 6. What is d*x(o) + 5*i(o)?\nAnswer: -o**2 - 13*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253 + 233 - 307)*((1 + 0 + 1)*(-4 + 6 - 1) + 1 + 1 - 8)*(b**3 - b**3 + 3*b**3).\nAnswer: -2148*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659361 is divided by 1885.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p + 11*p - 19*p + p**2 + 72*p**3 - 17*p + 10*p as y*p**3 + t*p + s + q*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*l + 150, 35*y - l = 39*y - 579. Suppose 27 = -4*z + 99. Calculate the greatest common divisor of y and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 0 in decreasing order.\nAnswer: 17, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 54)*1\/(-2). Let n be (-20)\/t*(-10)\/4. Suppose -18 = n*i - 4*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 25*v**2 + 15*v + 35. Let q be t(-12). Let p(f) be the second derivative of -9*f**3 + f**2 + 2*f. What is the units digit of p(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 4*n**2 - 4*n - 2. Let z be f(-4). Suppose 0 = -g + s - 73, s + 79 = 4*g - 5*g. Let o = g + 81. Solve -o*b + 11 = -z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2632 - 2630. Sort 0.4, 1\/10, l in descending order.\nAnswer: l, 0.4, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 5.5. Let x be ((140\/(-150))\/14)\/((-8)\/10). Which is the biggest value? (a) y (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -5, -35, -46, 0 in descending order.\nAnswer: 0, -5, -35, -46, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -314248 or -314015?\nAnswer: -314248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*i - 2, 0 = -9*i + 13*i - 2*h - 4. Are i and 60\/173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - ((8 - -7) + -33 + 25)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*o + 42*o = -24*o + 787504. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - o - 15 = 0, -5*o = d + 30. What is the nearest to -0.2 in -4, 5, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/216930 and 59\/3470880.\nAnswer: 3470880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 114\/(-1083) + 3 + 1473\/(-627)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1239?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 99*r - 195. What is d(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-12 + 8 + 0 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2. Let c(a) = a - 15. Let q be c(-2). Let u(w) = 23*w. Let t(l) = -8*l + 3*l - 3*l. Let z(p) = q*t(p) - 6*u(p). Give z(r(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(5031\/(-1032))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 7*b + 9. Let t be u(-7). Suppose 5*h - 55 = -5*j, -h + t = -3*j - 2. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*k + 71 = -259, -163 = -3*i - 4*k. Suppose 11 = 62*z - i*z. What is the highest common factor of 99 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000292 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from sszsszsyxsssszs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 2\/7*k**2 - 1\/42*k**4 - 1\/21*k**3 + 0 + k. Factor x(b).\nAnswer: -2*(b - 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s - 4. Let z be (0\/s)\/(2 + 0). Find the second derivative of t**3 - 4*t + 5*t + z*t**3 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220 - 92. Let h = w - 88. Calculate the greatest common factor of h and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 2. Let p be n(-5). Calculate the remainder when p\/(-4)*15\/6 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7150 or -21448\/3?\nAnswer: -7150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-2600))\/((-4)\/(-20))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1 + 3\/(-2)). Suppose -l*s - 16 = -3*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 445819807*y - 445819802*y - 2.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -44*j**2 + 1192*j - 72. Let l = 13 - 3. What is the remainder when k(27) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyq when three letters picked without replacement from {p: 2, b: 3, k: 1, q: 1, y: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l**2 + 22*l - 1. Let o be t(-1). What is the greatest common factor of o and 15905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62774 + -4140?\nAnswer: 56634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/819 and -23\/3475932.\nAnswer: 948929436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 712*k - 714*k + 31, 3*k - x = 14. What is the nearest to 2\/3 in k, -47, -1\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1679403*-2\nAnswer: -3358806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -29 (c) -1\/5 (d) 1\/7 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197 - 402*g + 195 - 614*g to y + w*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/68*(-1)\/1)\/(4\/12).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + -1)\/(-2 + 1499\/750)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (508 + -510 - (0 + (0 - -15)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -64. Let n(b) = -b**3 + 13*b**2 - 9*b + 8. Is 22 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/(-54) - 6\/(-27). Let r be (g - (-2 - 2)) + 1. Find o, given that -r*o**3 - o**5 - 2 + 0*o + 2*o**5 + 4*o + 2*o**2 - o = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*32\/(-40) + 10*1)*8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.57 + 0.57. What is the nearest to o in -0.3, 2\/3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)*(-9 + 10). Suppose 4*g - g - 25 = 5*w, -2*w + r = g. Suppose -g*s = -0*s - 105. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*q = -312, -2*q + 370 = 5*c - 3*q. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-6)*((-30)\/5)\/(-90)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(120)\/sqrt(6)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxfr when four letters picked without replacement from {r: 2, x: 3, f: 2, e: 1, d: 4}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - -4 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 y, and 1 h when four letters picked without replacement from {h: 2, y: 3, o: 3, i: 2, c: 10}?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b. Suppose -s - l + 6 = 0, -2*s - l - 3*l + 20 = b. Suppose 4 = s*z - 8. Solve -d = d - z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.251 + -0.251. Which is the nearest to q? (a) 1 (b) 2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:28 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*12\/56*(-6)\/18.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - y - 2253, -h + 70*y - 67*y = -555. What is the least common multiple of 1504 and h?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2 - 14 - 0) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxddsxsdddsxdsdx. Give prob of picking 1 d and 1 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, 13, -5, -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 6526.\nAnswer: 78312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/5 - (-156)\/5. Let c = o + -32. Which is greater: c or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2354.8 in 0.4, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w + 20. Let l be i(-1). Solve -3*a = l + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -83*m**2 + 31*m + 25*m + 2*m**3 - 12 + 3*m. Is v(41) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -9, -4*o + 15 = -3*o + 5*j. Let k be (o + 4\/(-10))\/(34\/(-17)). What is the second biggest value in 5, -1.2, k, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-204) + (-176)\/340?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/(-1 - -5) - -1. Let p = -17 - x. Find the second derivative of 9*v**2 - 4*v**p + 2*v**2 - 2*v wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18737 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 143\/3. Which is the closest to j? (a) 2 (b) 0 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**3\/9 - 393680*s**2\/3 - 131226*s - 295258\/9.\nAnswer: -2*(s + 147629)*(2*s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 1\/30*o**5 + 0 + o**3 + 1\/3*o**4 - 2*o**2 + 0*o. Solve i(z) = 0 for z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23237642.\nAnswer: 2, 29, 521, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906860 a multiple of 1220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzzzljajzlzkjz. What is prob of picking 1 a and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18431\/6 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 152 + 1180 = 0. What is the hundreds digit of ((-727)\/(-6))\/(186\/g + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671667534 is divided by 1309.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 3*z**5\/20 + 17*z**4\/24 - 7*z**3\/2 - 6*z. Let b(t) be the second derivative of x(t). What is the derivative of b(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 31*q**2 - 4*q + 2. Let p(f) be the second derivative of 31*f**4\/6 - 3*f**3\/2 + 5*f**2\/2 - 187*f - 4. What is 2*p(n) - 5*z(n)?\nAnswer: -31*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106730?\nAnswer: 2, 3, 5, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1535879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(7\/14). Let g be (-24)\/(4\/12 - x). Let c be (-8)\/g*6\/(-10). What is the closest to 1\/2 in -1\/4, c, 5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 8889*b - 1411018. What is m(156)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37240.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1262 = 6*y - 148. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.1 - -7.15. Let f = d + -0.05. Which is the second biggest value? (a) -2\/3 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 8*k**2 + 6. Let p be l(8). Solve -2*v + 2 = 2*n, -30 = -2*n - v + p*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -78583 and -213.12?\nAnswer: 78369.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6950206*z**2 - 3986044*z.\nAnswer: -13900412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in -3\/8, 1\/10, -75, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22192 divided by -4.\nAnswer: -5548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(25)*-2)\/(4*sqrt(180)) - ((2 + (sqrt(80) - (sqrt(80) - ((4*sqrt(80))**2 + sqrt(80)) - sqrt(80))) - sqrt(80)) + (6*(sqrt(80) + 2))**2).\nAnswer: -4306 - 3479*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {w: 2, m: 7, t: 1, c: 1, e: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 260.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 2:32 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = -4*t, -2*t = 2*t - 2*q + 18. Let r(i) = -i**2 - 3. Suppose 1 = x - 2. Let s(u) = -2*u**2 + 2 + 0*u**2 + x*u**2. Give t*r(a) - 3*s(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*m - 73*m - 4686. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.9 and -278.17.\nAnswer: -273.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/173, -3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5707212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587055.\nAnswer: 3, 5, 7, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3831*l**5 - 165*l - 32 wrt l.\nAnswer: -76620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d - 143. Determine k(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7514 and 31174.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reeolleelreleoheo. What is prob of picking 1 e and 1 l?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {l: 7, z: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 945*z**3 + 1618*z + 3. Let x(k) = k**2. Give n(x(c)).\nAnswer: 5670*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1323 and 18262741.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*k + 296*k - 791 = 171*k - 182 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5789, 4 in descending order.\nAnswer: 5789, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*c - 14175 = -105*c + 127*c for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bc2 - -2024?\nAnswer: 2c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 388205280 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(10 - (-5272)\/(-528)). Is v less than or equal to 1982\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 72. Suppose a*q + 0 = 2. What is the hundreds digit of q*(123 - 1) - (3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 12*w**4 + 13*w**3 - 4*w**2 - 22*w. Let l(j) = 2*j**3 + j**2 + 2*j. Let a(u) = h(u) + 4*l(u). What is the second derivative of a(q) wrt q?\nAnswer: 144*q**2 + 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)*-1*6 + -5*-1*sqrt(608))\/((sqrt(2904)*1)\/(sqrt(144)\/(sqrt(12) - sqrt(300)))).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**3 - 6*j**2 - 6. Let o(x) = -10*x**3 - 11*x**2 - 11. Suppose 89 - 78 = r. Give r*u(h) - 6*o(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178187735 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n*n\/(n**(-1\/9)*n*n)*n)*n**(-2\/13)*n)\/(n*n**(2\/7))**(-2\/107))\/(n**(-5)\/(n*n\/n**(2\/15))*(n*n**2)\/n**(-4\/3)) assuming n is positive.\nAnswer: n**(1442618\/438165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 177 = h - 4*o, -o + 60 = -h. Let k = h - -88. Let u be (k\/(-15))\/((-5)\/6). Solve 2*i - d = -8, 2*i + 4*d + 0 - u = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**2 - 58*d**2 + 15*d**2 + 18*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 77\/3. Which is the closest to 0? (a) -13 (b) x (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 (base 9) in base 5?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -601*y + 617*y. Let i = -2.9 + 3. What is the closest to y in -0.18, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -1232456.\nAnswer: 616228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/20511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1095b - -2?\nAnswer: 10960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2699945 by 539989.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i + 8*i = 0. Let o = 10 - 6. Suppose q = -3*g + 71, i*g = o*q - 2*g - 270. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 7*h + 13. Let s be o(-5). Solve 0 = q - c, s*q + 0*c + 20 = -2*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 479*u**3 - 955*u**3 + 476*u**3 - 241*u**4 + 24 - 2*u wrt u.\nAnswer: -2892*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + k**3 + 4*k**3)*(183630*k**2 + k + 3 + 2*k - 183540*k**2).\nAnswer: 180*k**5 + 6*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14698 - 161?\nAnswer: -14849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - -2 - (51 - 48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-7))\/((-6)\/14). Suppose k*t - 9*t = -88. Factor -41*u**3 - u**2 + 12 - t*u + 14*u**4 + 17*u**3 + 11*u**4 + 104*u**3.\nAnswer: (u + 1)*(u + 3)*(5*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-132) + 25\/(-4) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + 13*v - 9. Let z(o) = 2*o**2 - 7*o + 4. Let r(c) = c**2 - 10*c + 12. Let l be r(9). Let g(a) = l*u(a) + 5*z(a). Is g(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3641*x**2 - 83*x - 20.\nAnswer: 7282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 9*k**4 + 84*k**3 - 162*k**2 + 36*k + 33 = 0.\nAnswer: -11, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 53.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(8\/4 - 1). Suppose -y*q + 3*n = -48, 0 = -q - 2*n + 6 + 1. Let s be 20\/(-30) - (-132)\/q. Solve -5*u + 1 + s = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-237)\/(8295\/(-28)) + (-1422)\/15?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -59*p - 1882. What is r(-30)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 9 = -25. Suppose 2138 + 478 = r*z. Is (6\/(-3))\/((-4)\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + n)*(-3 + 3 + 1) + n + 2*n - 5*n + 5*n - 3*n + 0*n)*(n + 1 - 1 + (0 + 0 + 2*n)*(-1 - 5 + 4) + 0*n + 2*n - 4*n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 + 83765\nAnswer: 83765.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1375741*-5.\nAnswer: 6878705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698177987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s**4 + 188*s**3 - 704*s**2 + 772*s + 240 = 0.\nAnswer: -1\/4, 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*n = -79*n - 528 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29818 - 69*p**3 - 14911 - 14907.\nAnswer: -69*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 81*m**2 + 60*m + 468.\nAnswer: 3*(m - 26)*(m - 3)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.9 - 7.1. Let g = 5.5 + -9. Let a = g - -3. Sort -1\/3, a, x.\nAnswer: a, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 4 - 4)*(-1003 - 6*m + 1003)*(4*m**2 - m**2 - 4*m**2) + (-m + 0*m + 0*m)*(m**2 - 2*m**4 - m**2).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*n - 1896 + 1896 - 3*n to r + y*n and give y.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 + 28. Let a = 94437 + -94372. Calculate the remainder when f is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/3, -2, -4, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + (16 - 13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1113000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*g - 5*g = -220*g + 3993 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + 0 + 3 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/378 and -179\/21672.\nAnswer: 65016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 87?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117789 divided by 3.\nAnswer: -39263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2737*v**4 - 52*v**3 + 2502456 wrt v.\nAnswer: 10948*v**3 - 156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i + 5*a + 152, -3*i + 3*a = -444. What is i rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118960507 is divided by 683681?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 17, 1\/3.\nAnswer: -3\/4, 1\/3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 v, and 2 u when four letters picked without replacement from {a: 4, k: 3, w: 2, u: 3, v: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 13*l**2 - 675*l + 5576. What is x(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37080 divided by 180.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*z + 3*z. Let q = 1.8 + -0.8. Which is the closest to -2? (a) z (b) -1\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -80*y**2. Let p(m) = 404385*m. Calculate l(p(c)).\nAnswer: -13082178258000*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2)*t**(-5))\/(t**(-2\/7)\/(t*(t\/(t\/(t*t**(-5)\/t)))\/t*t)))**(-36))**44 assuming t is positive.\nAnswer: t**(118800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-312)\/(-416)*(221*31 + 1).\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 - 33 - (-139 - -54)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36946799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 0)*-4 - 0. Let m = t + -13. Suppose 3*c - m = 3*f - 2*c, 6 = -f + 4*c. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118.7357 - 118.8. Let s = 0.4413 + b. Round s to two decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -521 - -521.068. Let w = -0.012 + -0.02. Let d = w - i. Which is smaller: -19 or d?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1\/(-3)) + -26. Let n = f + 45. Let q(u) = 6*u + 2. What is the least common multiple of n and q(2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 4. Let j = 2235.1 - 2235. Which is the biggest value? (a) j (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223 + -113232?\nAnswer: -122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.2, 1, 3.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/20 - 2*i**4\/3 + 11*i**3\/6 + 7*i**2\/2 - 20*i + 20. What is g(-8)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.045 + -0.245. Let h = -0.03 - 0.37. Let r(u) = 2*u + 1. Let f be r(1). Which is the third smallest value? (a) h (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22996194 to the nearest integer?\nAnswer: 4795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -23 + 23 + 1\/((-70)\/(-21) + -3). Factor -4*n**j + 0 + 25*n - 5\/2*n**2 - 1\/2*n**4.\nAnswer: -n*(n - 2)*(n + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415, 405, 393, 379, 363, 345?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/1298794 and -46\/457?\nAnswer: 1298794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58374 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from fxpupppx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 11*v - 11. Let k(a) = -8*a**2 - 32*a + 32. Let f(d) = -4*k(d) - 11*t(d). Suppose 36 - 1 = 5*p. Determine f(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*t**2 + 98*a**3*t - 425*t**2 wrt a?\nAnswer: -3*a**2*t**2 + 294*a**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 84 = 60. Let x(j) = j**3 - 8*j**2 + 2*j - 8. Let f be x(l). Let g(b) = -7*b**3 - 10 - 6*b**3 + 3*b + 12*b**3 - f*b**2 + 2*b**2. What is g(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 - 2536787.653?\nAnswer: -2536787.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 + 92567*i - 92566 = 0.\nAnswer: 1, 92566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let v(s) = 900 - 1803 + 903 - 147*s**2. What is m(v(i))?\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 2. Let k be y(6). Let s be (-170764)\/(-420) + 18\/135. Let a = -407 + s. Are k and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 + -20?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*o**5 + 96*o**4 - 123*o**3 - 198*o**2 + 156*o + 24 = 0.\nAnswer: -2, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 11*s - 1. Let h be f(15). Suppose -2*p + h = -g - 160, 2*g - 332 = -3*p. What is p rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -z + d, d + 0 = -4*z + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) - (-4 + 1 + sqrt(76) - sqrt(76)).\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 781 divide 111971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*h - 4, 0*y = -4*y + 3*h - 22. Let g(d) = d + 4. Let z be g(-3). Put 3, y, z in descending order.\nAnswer: 3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, 6, 1, -1 in descending order.\nAnswer: 6, 2, 1, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15129 + 26929. List the prime factors of z.\nAnswer: 2, 17, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -9, -56, -143, -282?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 504 + -501 - (1\/(5\/(-353)) + (0 - -1)). Determine m so that -a + 48\/5*m**3 - 312\/5*m**2 + 627\/5*m = 0.\nAnswer: 1, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 11*l**2 - 78*l - 197. Give f(-16).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1820100.7 and 0.4.\nAnswer: 1820101.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 5*r - 6. Let y(c) = -6*c**2 - 14*c + 17. Determine -8*n(b) - 3*y(b).\nAnswer: 2*b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -105*s - 15559. Calculate m(-155).\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r - 1. Let g be i(0). Which is the nearest to g? (a) 0.5 (b) -0.5 (c) -13 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351606 is divided by 1351597.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - l - 2*l)*(11*l - 11 - 7*l - 3*l) in the form k + r*l + p*l**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - 0.63. Let t = n + 0.58. Let c = -0.2 - -0.1. What is the nearest to c in t, 3\/4, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 23.4. Let v = -95\/387 + 1\/43. Put 1, l, v in descending order.\nAnswer: 1, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d - 14*d + 20*d in the form c*d + u and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090302274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/288 + f**5\/12 + 25*f**4\/24 - 16*f**3\/3 - 259*f**2. Let a(g) be the first derivative of s(g). Factor a(l).\nAnswer: -5*(l - 10)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -1\/4 (b) 0.19 (c) -0.24 (d) 12.9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 32. Let s = y - 13. Solve 5*v - 5 = 0, 3*j - s*v = v - 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25\/4 - 7. What is the nearest to -2\/7 in 2\/9, z, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/5))**(8\/7)*m**(-2\/3)\/(m\/(m\/m**(-2\/5)*m*m)*m))\/((m**5*(m**(-1)\/m)\/m)\/((m**(-1\/6)*m*m*m)\/m**8)) assuming m is positive.\nAnswer: m**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-65)\/25 + 3)*5. Suppose c = -5*c - 336. Let p be (-128)\/c - (x + (-24)\/14). Solve 0 = -2*h - p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -427 + 339 + 88 - 2525*n in the form o + x*n and give x.\nAnswer: -2525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289112*a**3 + 289113*a**3 - 867337*a**3 + 289109*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 w, and 1 s when three letters picked without replacement from {w: 4, j: 6, e: 4, s: 4, d: 2}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68750 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13103434 (base 7) to base 9\nAnswer: -2220544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 8*j**2 - 10*j. Let n(z) = -6*z + 3. Let p be n(2). What are the prime factors of s(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*v - 3, -6*m - 5*v + 23 = -5*m. Suppose -m*j - 3*s + 108 = -j, 3*s = -5*j + 270. Which is smaller: 55 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s)**(3\/16)\/(s\/(s**(-2\/7)\/s))**(8\/11) assuming s is positive.\nAnswer: s**(-3865\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {c: 4, d: 1, u: 6, i: 1, t: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t**2 + 116*t**2 - 25*t**2 - 23*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31278 times 0.1?\nAnswer: -3127.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1560 and 16340.\nAnswer: 1274520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**3\/5 - 192*v**2\/5 + 144*v = 0.\nAnswer: 0, 4, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {m: 2, e: 1, a: 1, i: 2, x: 1, w: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -247*b - 4716. Is 39 a factor of f(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 41 = 21*q. Let z(t) = -4*t - 14. Let r be z(-4). Solve 2*k + 11 + 12 = -q*b, 0 = k - r*b - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v**5 - 1276*v**4 + 34920*v**3 - 202464*v**2 + 191808*v - 49572 = 0 for v.\nAnswer: -51, 1\/2, 3\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 329, 331, 333, 335, 337?\n\"Answer: 2*o + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*3*9\/18*2. Solve -h*k + 75 = 105 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 13*s - 8*s - 132, -4*s + 123 = -5*z. Solve -11*j = -s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20021 (base 3) to base 15\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1394*i**2*u*w + 3*i**2*w - 3*i**2 - 18888*i*u*w**2 + 6*i*w**2 + 3*w**2 - 8*w + 169 wrt u?\nAnswer: 1394*i**2*w - 18888*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, 200, 569, 1066, 1679, 2396?\nAnswer: 3205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from zzrrzzrzrz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-7)\/22*(-104)\/(-182)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Let n be (5\/10)\/(r\/20). Suppose -2*l - 68 = -4*v, 6*l = n*l - 2. Solve 3*s + s - v = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/3, -0.4, -1\/6, -6\/7, 97, -0.094, 0.14?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 8b?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/25, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102427546 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121101201 - 0?\nAnswer: -12121101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2753*u**2 + 524*u**2 + 674*u**2 + 607*u**2 + 707*u**2.\nAnswer: -241*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729*z = -93*z - 2700 - 2388. Calculate the highest common factor of z and 1692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 28*o**3 - 31*o**2 - 539*o - 4. Let r(u) = -26*u**3 + 30*u**2 + 538*u + 3. Let n(t) = -3*i(t) - 4*r(t). What is the second derivative of n(a) wrt a?\nAnswer: 120*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 634482 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6936 and -139\/5916.\nAnswer: 201144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/70 and 109\/5040?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2475 + -2474.92. Which is the closest to 12? (a) t (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 142 = 8*z - x, -3*x = z - 144. Suppose -35*g + z = -32*g. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 + -91. Let o be 0 + 3 + r\/(-8 - -5). Let q = o - -99. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1625 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-2)\/(-1))*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = 5*r - 1595670. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 711a + -9aa?\nAnswer: 6330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w + 10, -3*u + w - 34 = 0. Let f be 114\/(-42) - 2\/7. Is 5 a factor of ((-10)\/f)\/((-4)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c**3 - c**2 + 3*c + 2. Let t be x(-2). Let d(f) = -f + 2. Let k be d(5). Let b = t + k. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -43392?\nAnswer: 5\/43392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6442*x**3 - 32210*x**2 - 11*x + 29. Determine p(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.224 and 0.5?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 404, 715, 880, 827, 484?\n\"Answer: -12*m**3 - m**2 + 398*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266888 is divided by 91?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -25*r - 5*m + 857, -2*r + 3*m = -546. What is the highest common factor of 124 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -93\/5?\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (349 - 343)\/(-3*11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3040 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 - 15*k - 130. Let u be b(-11). Let o = -383 - u. Calculate the highest common divisor of o and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1002, -2016, -3040, -4080, -5142, -6232, -7356, -8520?\n\"Answer: -z**3 + z**2 - 1010*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 699*w**2 + 3 - 4 + 698*w**2 + (-4 + 4 + 3*w)*(0*w**2 - w**2 + 3*w**2) in the form m*w**3 + o + f*w + c*w**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.9452 - -0.3552. Let j = -0.29 - r. What is j rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 15 - 39 = 0. Calculate the remainder when (-2)\/(-6) + 238\/l is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjokvap. Give prob of sequence oaj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -1, -2710, 1900?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*u + 37, 80 = -4*q + 2*u - 68. Are q and -500\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/19)\/(b\/(((b*b**(-3\/2))\/b)\/b))*b**4*b*b*b**(-2)*b assuming b is positive.\nAnswer: b**(53\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -4*o + 9, 2*o + y - 3 = 0. Let h(s) = s - 1 - o - 5 - 4. Give h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fooygogfgfboogoyo. What is prob of sequence boof?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 4*m - 3. Let p be f(-2). Let q = 16 + p. Suppose 0 = -0*c + c + q. Let v(a) = a**3 + 4*a**2 - 4*a + 6. Give v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2986667 from 0.2.\nAnswer: -2986666.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-41)*(n\/((n*n*(n\/n**1)\/n)\/n*n))**(-11\/2))**(4\/11) assuming n is positive.\nAnswer: n**(164\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -63100 to the nearest 100.\nAnswer: -63100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 422*c**2*g**2 + 747*c**2*g wrt g?\nAnswer: 844*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177 - 172. Suppose -5909 = -4*o + z*t + 4292, 0 = -2*o - t + 5111. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556366 divided by 3?\nAnswer: 852122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-7 - 2) + (59 - (-2 + (6 - 4))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6719.948 - -6910.94812. Let p = u - 191. Round p to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.939 - 0.011. Let p = -0.05 + d. Let z = -34\/3 - -11. Which is the nearest to -2? (a) -1\/4 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/307 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -190*d**3 - 600*d**2 + 2820*d + 1905. Let z(k) = -27*k**3 - 86*k**2 + 403*k + 272. Let o(q) = -2*v(q) + 15*z(q). Factor o(j).\nAnswer: -5*(j - 3)*(j + 6)*(5*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**5\/20 + 5*r**4\/12 - 2*r**3\/3 - 15*r**2\/2 - 31*r. List the prime factors of m(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 5 (c) -260 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.5. Suppose -2*v = 2*v + 200. Let j be 1\/2 + 35\/v. Put n, j, -2\/3 in descending order.\nAnswer: n, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 + 119.9. Let y = w + -0.9. Let z = -5.9 + y. Put 2, 0.5, z in increasing order.\nAnswer: z, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 4*z**2 - 10*z**3)*(z - 3 + 3).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -154*y + 51. Suppose 5*l + 1 + 4 = 5*r, 2*l + 3 = r. Let u = -1 - 0. What is the closest to y in -5, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2174 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-9))\/(120\/288)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 2117a0?\nAnswer: 211797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 6. Let q(n) = -2*n**3 - 2*n**2 + 3*n - 3. Let y be q(-3). Suppose 4*w = v*w - y. Solve 3*r + w + 3 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 23*p**2 - 5*p**2 in the form s*p**2 + y*p + x and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*t - 74. Let k = 3025 - 2950. Calculate the remainder when k is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 3*u - 2. Let o(g) = -2*g**2 - 4*g - 2. Let l = 64 + -61. Calculate l*o(i) - 4*b(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -18*z**2 - 187*z - 17. Determine g(-10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7569, 59835, 201719, 478029, 933573, 1613159?\n\"Answer: 7468*m**3 + m**2 - 13*m + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278080821*r**4 - 103970150*r wrt r?\nAnswer: -3336969852*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.83 and 62032.\nAnswer: -299614.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (0 + (10 - -3) - (7 + 0))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-390) - (-34)\/(-40)*2)*-50.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/571?\nAnswer: 2\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006775632 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = -13*s - 107 + 82 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-40)*-25*3\/18. Sort 3, 7, x in ascending order.\nAnswer: x, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.084 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2 - p + 3\/2*p**2. Is k(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Suppose 6*d = t*d - 9. Let i(a) = 2*a + 4*a - a - 2*a + 4. Calculate i(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31082, 34184, 37286, 40388?\nAnswer: 43490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 1146*p - 155986. Determine k(157).\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178634 by 2.\nAnswer: -89317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9415 rounded to two decimal places?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1819*n**2 + 2315*n**2 - 1227*n**2.\nAnswer: 2907*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3961)\/663 - (-255)\/45?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 287737, 1150819, 2589255, 4603045, 7192189, 10356687, 14096539?\n\"Answer: 287677*n**2 + 51*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 8, 1.1, 0, 2\/7, 1.\nAnswer: -47, 0, 2\/7, 1, 1.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 189*h**3 + h**2 + 3*h + 3. Let o be (0 + 6\/(-8))*4. Let w be y(o). What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 48 = -4*j. Let h(p) = p - 7. What is h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + (0 - (3 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2666600 by -13333.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2846 * -23.498\nAnswer: -66875.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -3556 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2692431036 from 3964.\nAnswer: -2692427072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unujjujjjujjn. Give prob of sequence jnj.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 55\/330 - 129\/(-36)*-2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*h**2*x - 2*d*h*x**2 - d*h + 46*d*x**3 + 3*h**2*x**3 - 7*h**2 wrt x?\nAnswer: 276*d + 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 1094, 1610, 2182, 2810, 3494?\nAnswer: 4234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 804359 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 28 = t, 4*y + 4*t - 20 = t. Let o(j) = j**2 - 10*j - y + 11 + 10. What is the units digit of o(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5002*u**3 - 1221.\nAnswer: 15006*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:06 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 244. Let s(v) = -470*v - 3330. Let j be s(-7). Determine i(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 51 - 71 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8521 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -4*g - 3*i, 15333*i = 2*g + 15331*i + 44 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13159*w + 13537*w + 0 + 11273*w + 0.\nAnswer: 37969*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -10, -11, -14, -19, -26, -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*p = -3, -4*y - 22*p - 20 = -24*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/26))**(-1\/19)\/(d**(-3\/4)*d\/((d*d**(-6\/7))\/d)) assuming d is positive.\nAnswer: d**(-7671\/6916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 99) + 31 + -36\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r. Let a(h) = 32*h - 110472. Calculate a(m(c)).\nAnswer: -64*c - 110472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(3 + sqrt(80)*-2 + (sqrt(80) - (2*sqrt(80) + 4)) + 2 + -1)*5)**2.\nAnswer: 287999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c)*(2*c - 5*c + 7*c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, w: 11, b: 1, t: 2, u: 1, r: 1}. Give prob of sequence vu.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8672163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 980 and 17860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -12. Let y be (z\/(-1))\/((-415)\/249). Which is the nearest to 3? (a) y (b) -1\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v**3 + 11*v**3 + 0*v + 0*v + 22*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3718*h**3\/7 - 197600*h**2\/7 + 28934*h\/7 + 212\/7 = 0.\nAnswer: -1\/143, 2\/13, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 1\/7*n**7 - 19*n + 1\/2*n**5 + 0*n**3 + 0 + 1\/6*n**4 + 7\/15*n**6 + 0*n**2. Factor d(p).\nAnswer: 2*p**2*(p + 1)**2*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 1:37 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*v - 3*g, 0*g = -4*v - 4*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 3*u + 4. Suppose 20 = w + 3*w. Let o(i) = -i**2 + 7*i - 6. Let z be o(w). Let t(r) = r - 1. Calculate z*t(y) + k(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -11. Let w(n) = n**3 - n**2 - 1. Let m(i) = 2*i**3 - 5*i**2 + 2*i - 5. Let a(k) = t*w(k) - 2*m(k). What is the second derivative of a(v) wrt v?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370001 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4730*k + 4721*k = -4*i + 16, 4*i - 2*k = -12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 25 - 39 = 2*i, 5*i + 3*p = 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 18, -5, 5, -2386 in decreasing order.\nAnswer: 18, 5, 3, -4, -5, -2386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6608 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -94. Find the common denominator of y and 5\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.6. Is i at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4181520 is divided by 1393832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*f - 144*f**2 - 5*f + 2451*f**6 - 786*f**4 + 786*f**4 + 2*f wrt f?\nAnswer: 294120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 5*c - 3. Let x be i(3). Suppose 0 = -x*n - n + 24. Suppose n*t - 108 = 114. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 6\/(-1 + -1). Let w(i) = 647 + 5*i - i**2 - 646 + 0*i. Give w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225047603 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 298*z + 3400. Determine j(87).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (1 - (-4 - -5)). Let n(d) = t*d**2 + 3 + 2*d**2 + 11 - 29*d - 4*d**2. Is n(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-172)\/12)\/(14\/(-3990)). What is the greatest common divisor of 950 and k?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7037799 divided by 46?\nAnswer: -7037799\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1494 + 4371*g - 1493 + 2987.\nAnswer: 4371*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**9\/75600 - s**8\/33600 + s**7\/6300 - s**4\/12 - s**2\/2 + 2*s - 13. Let n(h) be the third derivative of z(h). Factor n(m).\nAnswer: -m**2*(m - 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - 920?\nAnswer: -939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.164589 to one decimal place.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.4915 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 4*r + 1. What is o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a. Let c be 6\/4 - (140\/(-8) - 2). Let x(q) = c*q - 3*q + 20*q. Calculate x(m(r)).\nAnswer: -76*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - (-80)\/15. Let u(f) = 61*f + 26. Let z be u(-6). Let r be 4\/14 + z\/(-35). Solve r = -a*g + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 23*q**3\/6 - 15*q**2\/2 - 5*q. Let s be w(-7). Is -1*(s + (-3)\/(9\/6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 - 11011011?\nAnswer: -100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1216) + -1 + sqrt(1216))*-3 + -1 + sqrt(1216) + sqrt(1216) + -1 + 5)**2 + 5.\nAnswer: -512*sqrt(19) + 19525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose -6 = -q - 3*p, -31 - 23 = -w*q + 3*p. Suppose 0 = 3*a - k - 28, -5*k = 2*a - 15 - q. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2932 at most -2932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1738, 3476, 5214, 6952, 8690?\n\"Answer: 1738*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9160, 16571, 23978, 31381, 38780, 46175, 53566?\n\"Answer: -2*o**2 + 7417*o + 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2707, -2685, -2671, -2665, -2667?\n\"Answer: -4*c**2 + 34*c - 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewed when four letters picked without replacement from fwleljewjjljdf?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-3 + 2)\/(8 + -9). Solve -3*j = -6*j - g*s, -2*s = -3*j - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxixxqqqxxqqqixxxxq. What is prob of picking 1 x and 1 q?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**6*r*r*r)**(-47)*r**14\/(r*r**(-2)\/r) assuming r is positive.\nAnswer: r**(-454)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Suppose -3*r = 5*m + 42 + 15, 0 = c*m + 6. What is the common denominator of (-3)\/2*(-16)\/120 + (232713\/780)\/17 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltbttbtdbtttbllttt. What is prob of sequence dbbl?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1123 in 48, 1\/6, 3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6028926421?\nAnswer: 7, 211, 1409, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 444791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from opprcroorrororcpr.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g - 10. Suppose 1 = -s - g. Let p be (-1)\/(-6) - s\/(-9). What is the second smallest value in 0.1, p, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a + 429?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -34*c - 8. Let y be k(-3). Suppose 3*r = 11 + y. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/61363776 and 101\/240?\nAnswer: 306818880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + -10 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1081, 2488, 4107, 5938, 7981, 10236?\n\"Answer: 106*z**2 + 1089*z - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001010110011000000100 + -100110?\nAnswer: -110001010110011000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14379 and -0.38?\nAnswer: 14378.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1974 divided by -1?\nAnswer: 1974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 25806 - 25806 + 12*u. Let z(c) = 4*c**2. Determine z(m(h)).\nAnswer: 576*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.31 + 0.29. Let j = -1993.86 - -1998.86. Sort 1, j, 3, t.\nAnswer: 1, 3, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 5*g + 5. Let m = -3 + 5. Suppose 5*b - 4*c = 40, m*c - 3 - 3 = -4*b. Calculate o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/2 + 5*u**3\/3 + u**2\/2 + 10. Calculate the least common multiple of 8 and h(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - s + 2, -5*v = -3*v + s. Suppose 2*h = 7*h - 25, 3*h - 11 = -v*j. Which is the nearest to 0.1? (a) j (b) -0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -30 (b) -3 (c) 7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 5, c: 6}. Give prob of picking 1 i and 1 c.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkckkkkc. What is prob of picking 2 c and 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/(d\/((d**(1\/6)\/d)\/d)))\/d*d)**(2\/7))**(3\/2))**(-4) assuming d is positive.\nAnswer: d**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44556427 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 17\/20*v**5 - 1\/2*v**2 + 158*v + 0*v**4 + 0*v**3 + 0. What is b(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/6 (b) -1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*o - 550 = 0, -4*c + 3*o + 578 = -501. Let a = 386 - c. List the prime factors of (-2 - ((0 - 5) + 3)) + a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2\/13, 4\/7, -0.3, -3066?\nAnswer: -3066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 65*k = 66*k + 13335, 2*q - 13330 = -4*k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from iiiiixiiixxiixiixi?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/11 (b) 0.4 (c) -3\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 1\/2*i**2 + 0*i + 1. Let a(q) = 2*q**2. What is k(a(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1392\/(-80) + 17)*20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 6*c - 11. Determine s(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11153 = -2*d - 3323. Is 87 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1703513 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -1\/134 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52834 by 2.\nAnswer: -26417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000247 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -0.2, 0.3, -0.1, 1382, 1 in increasing order.\nAnswer: -0.2, -0.1, 0, 0.3, 1, 5, 1382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -202048 (base 9) in base 12?\nAnswer: -59268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/24)\/((-81)\/36)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 - 12*k**2\/5 + 153*k\/5 + 162\/5.\nAnswer: -3*(k - 6)*(k + 1)*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + c + 3*c)*(-3 + 4 + 1) - 5*c + 4*c + 0*c + 57 - 11*c - 57 to f*c + r and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 800\/(-8)*1\/(-2). What is the greatest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*y + 2*y + y + (3 + 1 - 2)*(2 - 2 - y))*(-2 + 2*y + 2) as x*y**2 + v*y + c and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*u - 90*u - 440 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 120 = 10*s. Suppose 0 = -34*u + s*u + 14*u. Solve u*v = 3*r - 2*v - 4, -2*r + 1 = -v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8296.017 rounded to the nearest 100?\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -23*q**2 - 1. Let l be v(1). Let j be 22\/l + (-3)\/(-4). Which is the nearest to -2? (a) 0.1 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5136091 and -5.\nAnswer: -2.5680455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -17*t + 53. Let o(d) = 8*d - 27. Let y(w) = -7*o(w) - 3*p(w). Let u be y(5). Suppose -4*x + 413 = n, -4*x + u*n + 403 = -4. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -130\/39299523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - h + 2*h + (2*h - 3*h + 0*h)*(3 + 3 - 4) - 52 + 18*h + 52 as x + w*h and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 2)*(2*t**4 + 0*t**4 - 3*t**4) + (-136*t**2 + 134*t**2 + 128*t**2)*(0 + 2*t**2 + 0) as b*t**4 + i*t**3 + o*t + f*t**2 + y and give b.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**3 + 4*b**2 + 12530*b + 6587162?\nAnswer: 6*b**2 + 8*b + 12530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -24*q**3 - 3*q**2 + 6*q - 27. Let o(l) = 24*l**3 + 2*l**2 - 4*l + 27. Let w(f) = 4*c(f) + 6*o(f). What is the first derivative of w(b) wrt b?\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-1 + 4 + -2 + 21 + -118 + 93).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 85*z = -15*z - 6*z - 2232 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -7.9, 0.4, 39 in decreasing order.\nAnswer: 39, 37, 0.4, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 132790 divided by -26558\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {z: 3, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3\/15 + 127*x**2\/10 - 524*x\/5 + 1808. Suppose b(k) = 0. What is k?\nAnswer: -131, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16069447 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -767, -840, -913, -986, -1059, -1132?\n\"Answer: -73*c - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10409313 greater than 10409309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305130 (base 7) to base 2.\nAnswer: -1100101111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1102331?\nAnswer: 1102321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*v + 4260 = 2*l, -10638 = 5*l + 8*v. Which is smaller: l or -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 - 167. Let n(t) = -21 - 22*t**2 + 24 - 6*t + h*t**2. What is n(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-1)\/6). Let x(l) = -l**3 - 3*l**2 + 6*l + 2. Let a be x(-4). Let r = a - -1. Put r, f, 2 in ascending order.\nAnswer: r, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8199229 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/5 - 55066*r - 1652016\/5 = 0. What is r?\nAnswer: -6, 275336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + -1.9. Let r = -3 - -2. Let g = r - -1. Which is the biggest value? (a) g (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*b)\/b**(-7)*((b**(1\/4)*b)\/b)\/b**(-1\/4) assuming b is positive.\nAnswer: b**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 + 153. What is the third biggest value in g, 0.3, -2\/29, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68095742 by 2.\nAnswer: -34047871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 15*d - 20. Let j be q(14). Let a = j + 35. What is the common denominator of -103\/20 and 3 + a + 2444\/(-650)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-1)\/(-3) + 0). Suppose 14 = 2*v + 2*a, 3*v = -0*a + 3*a - d. Calculate the least common multiple of (-9)\/2*(v + -4) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -32*q**2 + 31*q - 1. Let j be x(3). Let o = j + 246. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -294. Let f = v + -330. Let w = f - -251. Is 30 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 854, 863, 1080, 1505, 2138, 2979, 4028?\nAnswer: 5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27714*s - 13857*s - 645 - 13858*s to t + k*s and give t.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*f + 2*d = -58*f + 2, 5*f = 5*d - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23811.185 + 23864. Let c = 143 + -196. Let q = c + j. What is q rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 871 divided by -6\nAnswer: -871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3894 by 212.\nAnswer: -1947\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + 5*(sqrt(1088)*2)**2 + -1*-2*sqrt(1088) + (sqrt(1088)*1 - sqrt(1088))**2 + -1.\nAnswer: 16*sqrt(17) + 21757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/4)*j*(j\/j**(-2\/21))\/j*j\/(j\/j**11)*j*(j\/j**(4\/9))\/j)**(19\/6) assuming j is positive.\nAnswer: j**(64163\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 656437 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1079585487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3689 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 3*i = -2584000017. Suppose -v = -4*z + i, -z - v + 21076469 = -16923530. What is z rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 13*j - 13761. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:01 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3860.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1351583774 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 9*c**2 - 56 + 56 + 14*c**2 - 5*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 2*s - 19*s**2 + 4*s.\nAnswer: -20*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a minute in seconds?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9864)\/(-128) - (2970\/54)\/880.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20464, 20454, 20444, 20434, 20424?\n\"Answer: -10*h + 20474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/3 + (-2 - 2). Let a be 10 + (-5)\/((-5)\/n). Suppose 1 + a = z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x = -125. Let j = -12 + x. Is j\/(-3) + (-6)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11705 - 2*k - 23*k**2 + 3*k + 11704 to j*k + p*k**2 + y and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(20 - 8 - 6)*(0*l + 0*l + l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 2. Let m(o) = 1 + 0*o + o - 2 - 3*o. Let q(t) = 17*m(t) - 6*r(t). What is the units digit of q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6 = m - 3*v, -5*m - 2*v = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1241 * 1838.\nAnswer: -2280958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1661*x + 826*x + 836*x + 7. Calculate f(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-23)*h)\/h)\/h)\/(h\/(h*(h**(-25)\/h*h)\/h))*h**25\/((h*(h**(-3\/5)*h*h)\/h)\/h*h) assuming h is positive.\nAnswer: h**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 + -58. Suppose 0 = -15*h - 3*h - u. Put 5, -22, h in ascending order.\nAnswer: -22, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638574 is divided by 234?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 41205386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.82 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -5 (c) 0 (d) 1\/4 (e) 0.5 (f) 7309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, -5, -0.3 in descending order.\nAnswer: 4\/15, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 11. Let x be -3*n\/81*-2. Let h = -2 + 2. What is the nearest to h in 0.2, x, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 14*t - 1047. Suppose j - 5*i - 78 = t, -5*i - 15 = 0. What are the prime factors of j?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 66*c**2 + 53*c + 3.\nAnswer: 66*c**2 + 53*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 3:40 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - 10 + 1 + 1)*(4 - 2 + 7).\nAnswer: 63*u - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - x, -i + 4*x + 2 = 0. Suppose -185 - 37 = -i*l. Suppose l = 5*c - 4. What is the remainder when 90 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -9. What is the smallest common multiple of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 677*x - 25 = -681*x, 26 = a + 5*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 27. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnggggggggggggngg. Give prob of sequence ggg.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 12:55 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {p: 5, g: 2, q: 2, l: 7, h: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23629503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/3)\/(642\/(-963))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 198, 707, 1548, 2721, 4226, 6063, 8232?\n\"Answer: 166*w**2 + 11*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-798)\/76*(-18)\/(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {b: 1, f: 1, s: 9, z: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooodooooddoo. Give prob of picking 1 o and 2 d.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {e: 17, d: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/10 and 63\/1622.\nAnswer: 8110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + 31\/(-3). Let q = g - -18. Let o be (30\/(-4))\/((-3)\/q). What is the greatest common factor of o and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 3*g**3 - g**3 - 3*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 8. Let y be q(8). Suppose y = 3*o - 3*p + 21, 3*o + 20 = o - 4*p. Is 2\/(o\/(-114))*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1) + (1554 - 1565).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 313051\/4 = 78264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9466340 by 92.\nAnswer: -102895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*m - 112, 4*o - o - 348 = 3*m. What is the remainder when o is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300659 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/130 - 233*g**4\/39 - 4074*g. Find n, given that a(n) = 0.\nAnswer: -466, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(980) - ((sqrt(980) - 3*sqrt(980)) + sqrt(980))))\/(sqrt(90)*5*-4).\nAnswer: -14*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 354078930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, e: 13}. Give prob of sequence jjje.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38728.24 litres?\nAnswer: 38728240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758767175.\nAnswer: 5, 37, 2982451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 38 + 40)*(-5*i**3 - 2*i**3 + 6*i**3) in the form h + r*i**2 + f*i + d*i**3 and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 + (8 + -4)\/(54\/2943) is divided by 105.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = 3*p, 2*m - 7*m = -10. Let d be (-58)\/18 + (-6)\/(-27). Sort 4, d, p in ascending order.\nAnswer: d, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 61. Suppose 0 = 5*r + 3 - g. What is the tens digit of (0 + -5)*(-3 - (2 + r))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/180 - l**4\/12 + 2*l**3\/9 + 205*l**2 + l. Factor n(r).\nAnswer: 2*(r - 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*l + q - 8, 0 = 5*l - 5*q - 25. Which is the third smallest value? (a) -14 (b) -0.5 (c) -0.3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + (1 - 7) - -7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 307 = 7*w + 5*w + 47*c, 4*c - 110 = 5*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, 0, -4, 3, -1 in descending order.\nAnswer: 3, 0, -1, -4, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -7*z**4\/24 - 4*z**3\/3 - 9*z**2. Let u be p(-5). Solve -w + 3*m = 13, 4*w - 5*m = -4 - u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2502 and -0.08.\nAnswer: 2501.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*r**4*v - 3*r**2*v - 11*r*v + 2*v wrt r?\nAnswer: -900*r**2*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Suppose i = -2*i - 3. Does 23 divide (-3 - 46)*i*b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/((-315)\/(-10)) - 8\/(-28). Suppose 5*z - 22*z + 544 = r. What is the least common multiple of z and 28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 12:10 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.454 + 812614719.\nAnswer: 812614718.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 7 + 5 = -a, 3 = -w - a. Let s = -3 - -3. Suppose -f + 3 = -s*f. Sort f, w, -15 in decreasing order.\nAnswer: f, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 45791.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916797 is divided by 962?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/3*(-2)\/4. Let k(l) = -8*l - 224. Let q be k(-28). Let y = 17 - 12. Solve q*s + s + y = a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 6. Let m(j) = -j**2 - 9*j - 6. Suppose -2*h + 4*b = 36, 53 = -5*h + 5*b - 12. Let k be m(h). Let q be n(k). Which is greater: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-177 - -48 - -79) + -22\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-18 + -6 + 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2. Let z be -1*3*32\/(-48). Let n(x) = z*x + 16*x - 5*x. What is u(n(i))?\nAnswer: -1014*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499364 is divided by 166369?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10390185?\nAnswer: 3, 5, 13, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmptrdd. Give prob of sequence pmr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/(-15) + 4\/(-10))\/2. Let k = -1 + 9\/7. Which is the second biggest value? (a) k (b) g (c) -3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5915 times 0.8\nAnswer: 0.4732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 2*g**6\/3 + 68*g**5\/5 + 99*g**4 + 276*g**3 - 1296*g - 880. Solve o(j) = 0 for j.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4879*l - 38882. Calculate m(-8).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w - 3*w + 0*w)*(6 + 2 - 1)*(2*w**2 - w**2 + w**2 + (-3*w + w + w)*(-2*w + 0*w + w) - 3*w**2 + w**2 + 4*w**2) as h*w**2 + o*w + l + n*w**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + 21 = -5*j, 0 = g - 3*j - 12. Suppose 5*l + g*l = 1360. What is the highest common factor of l and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5183 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {n: 1, x: 1, k: 1, s: 2, l: 2, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (586*r - 284*r - 288*r - 38*r**3)*(-5*r + 3*r + 0*r).\nAnswer: 76*r**4 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*q + 222 - 179 = 0, 64 = 3*k - 5*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880194103?\nAnswer: 677, 1300139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -405?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 53.7. Let g = 0.3 + w. Let x = 0.3 + -1.3. Which is the closest to x? (a) -4 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3511 - -0.0171. Let q = d - -0.334. Which is smaller: q or 72?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*a + 2*s - 1, 0 = 5*a + 5*s - 25. Suppose -3*b = -a - 6. Sort 3, b, -2 in increasing order.\nAnswer: -2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*t + 17, -3*s = -2*s - t + 9. Let m = -2 - s. Factor b**3 - 2*b**2 + b - m*b**2 + 6*b**2.\nAnswer: b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386173632\/13072 + 4\/(-86)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245849268?\nAnswer: 2, 3, 7, 293, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117513 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 prob of sequence dpj when three letters picked without replacement from {o: 2, p: 1, d: 1, m: 1, h: 1, j: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:56 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c*d*y + 2*c*d - 7*c*y + d + 6 wrt d?\nAnswer: -8*c*y + 2*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 4 + 4 + (-2 + 2 - 4*c)*(1 - 1 + 2*c) + 2*c**2 + 3*c + c - c.\nAnswer: -4*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68, 17, -86, -247, -472, -767, -1138, -1591?\n\"Answer: -a**3 - 20*a**2 + 16*a + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/(-1))\/(18 - (17 + -1)). Solve 3*c = 5*b + n, 9*b = 5*c + 11*b + 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*770\/165*(-3)\/(-96))\/(3\/(-16)).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-64)\/30))\/((-3)\/(-8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5181 and 0.2.\nAnswer: -0.10362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + k**3 - 3*k**3)*(0*k**2 - 2 + 0*k**2 + 3*k**2) - k**5 - 1 + 1.\nAnswer: 2*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(65)\/sqrt(5)*4 + -4*(0 + sqrt(1573)))*-2)**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -196, 5, -5, 4, 2 in ascending order.\nAnswer: -196, -11, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozhxzzfoghxzhog. What is prob of picking 1 o and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/2 - 32881*t**4\/2 - 136943380*t**3 - 29466913450*t**2 = 0?\nAnswer: -16330, -221, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/28 + 2*m**3\/21 - m**2\/14 - 2*m\/7 - 1. Let z(v) = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2950.372 decades?\nAnswer: 295.0372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226*z**5 + 789*z**3 - 1585*z**3 + 796*z**3 + 76*z + 2664*z**5 wrt z?\nAnswer: 57800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from kcapkkaqppp.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5) + ((-14)\/(-2) - 23700\/3375).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19816195.\nAnswer: 5, 7, 179, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 2\/7 (b) 1\/69 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-4))\/3 + -66. What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 + 4?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, t: 4, u: 2}. Give prob of sequence qt.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.07 (c) -3 (d) -4 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 5*o**2. Let k be h(-5). What is the common denominator of (k - 118\/(-4))\/4 and -47\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**12*h)\/h))**43)**(5\/6) assuming h is positive.\nAnswer: h**(-2365\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-26)\/4)\/((-127)\/(-254)))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -22 + 3 + 42.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2\/(-7)*5)*(-66)\/((-283008)\/(-224))\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 5*c - 5*i = 48, 4*c + 5*i + 69 = 0. Let m(f) = -21*f + 77. What is the remainder when m(c) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by (-1144)\/(-55) - 4\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*y + 120 = -65*y. Suppose -17 = n + 2. Which is the nearest to y? (a) n (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -276 in 2\/11, 4, 1, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 90259.41m?\nAnswer: 90.25941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1015 = 5*b, 1130*n + 617 = 3*b + 1125*n. Calculate the highest common factor of b and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 216965*j**3 + 216983*j**3 - j**2.\nAnswer: 18*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 0.05\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001440102 to six dps.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -675*r**5*x - 3*r**4*x + r**4 - 21231*r**2*x wrt r?\nAnswer: -40500*r**2*x - 72*r*x + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 32*x\/5 - 6.\nAnswer: -2*(x + 1)*(x + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.3. Let h = -105 - -104.7. Sort h, t, 5 in descending order.\nAnswer: 5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l**2*n*x - l**2 + 113*l*n*x - 3*l*n + 9*l*x - 36*x wrt n?\nAnswer: -3*l**2*x + 113*l*x - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-400)\/540)\/(2\/(-21)) - 8.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.4 + -23.9. Which is the closest to 0.1? (a) -0.2 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 576 - 8634?\nAnswer: -807a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m**2. Let u(z) = -44*z**2 + 76*z**2 - 41*z**2. Calculate b(u(q)).\nAnswer: 1053*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*a + 657 + 643 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 39747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuukukbk. What is prob of picking 1 b and 1 u?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, a: 5}. What is prob of picking 2 a and 1 d?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r. Suppose -3*m + 5*i + 79 = -m, 3*m - i - 86 = r. Let u = m - 6. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7)\/(((-34)\/51)\/((-140)\/18)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/23 and 36\/11?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.557 less than 2256.74462?\nAnswer: 2255.18762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(2\/7))**(-7\/5)*(p**0)**(2\/81) assuming p is positive.\nAnswer: p**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddwmpdpgzpdzd. What is prob of sequence zdm?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 35*o = -24*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 6*z**2 + z - 6. Let m be v(6). Let q(g) = -10 + 2*g - 6*g + g + 0*g. Let d be q(-5). Solve -d*i + 4*i = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8) + (-1 - 3) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrnrhrhgorhgrrhr. Give prob of picking 1 h, 2 r, and 1 g.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -5 + -13 + 18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/396 and 133\/108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/81072 and 115\/6.\nAnswer: 81072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1489*p - 2248*p = -1123*p. Suppose -2*v = -3*v + 3. Solve v*x - 2*x = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 118*g**2 - 30*g - 629. Calculate x(-59).\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(((-58)\/(-319)*(-66)\/(-54))\/(20\/(-9)))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = -2*l + 5*y, -2 = -l + 3*y. Which is the biggest value? (a) l (b) 1\/4 (c) -2\/7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0 + 10\/3*g**3 - 1\/2*g**2 + 26*g. Determine v(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:50 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2196410, 2196414, 2196422, 2196434, 2196450, 2196470, 2196494?\n\"Answer: 2*z**2 - 2*z + 2196410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 453 and 232872?\nAnswer: 35163672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 64*h**2 - 11. Let n(l) = 21*l**2 - 4. Calculate 11*n(o) - 4*t(o).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 5*y = -4*m + 30, 23 = 2*m - 5*y. Which is the fourth biggest value? (a) 1\/2 (b) m (c) 4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6676 - 6609. What is the remainder when 3347 is divided by p?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -98, -222, -388, -590, -822?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4802, -9602, -14408, -19220?\n\"Answer: -3*r**2 - 4791*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52709 + 104956 = 3741*d + 37415 - 126656 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpknpc. What is prob of picking 1 n, 1 c, and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 4. Let y be z(-3). Is -1 + y\/((-4)\/(-30)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1346 - 1010. Suppose -15*i + z = -i. Calculate the greatest common factor of 516 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-2)\/8)*-4. Let y = o - 8. Determine a, given that 2*a + y*a + 0*a - 5*a + 2*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -23, -42, -63?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 11\/2*n**2 + 1\/20*n**5 - 17\/24*n**4 + 0 + 5\/3*n**3 + 17*n. Let s(y) be the first derivative of f(y). Factor s(u).\nAnswer: (u - 5)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2904 is divided by 313?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.07, 8, -5, 1 in ascending order.\nAnswer: -5, -3, 0.07, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7205936*c - 14067634*c + 7821445*c.\nAnswer: -13452125*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3970128.\nAnswer: -5\/3970128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -25. Let x be (3 + 0)\/((-117)\/f). Let l = -4 - -3. Which is bigger: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**5\/11 + 3624*k**4\/11 - 3620*k**3\/11 - 10874*k**2\/11 + 1647*k - 7246\/11 = 0.\nAnswer: -2, 1, 3623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1479123 divided by 6?\nAnswer: -493041\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 603\/7. Put 0.4, 1, m, 3 in ascending order.\nAnswer: m, 0.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/20 and -3\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 94827?\nAnswer: 12327510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76582 divided by 312.\nAnswer: -38291\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 54*h + 217. What is f(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 126299 (b) -0.1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10848855 is divided by 774914?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 431760743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 50*i - 31. Solve 7 = b + i*l, -b + 3*l - 21 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58023\/8 - -7253. Sort p, 0.027, 3.\nAnswer: 0.027, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12051041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -578*s**2 - 261 + 509 - 2*s - 250 as z*s + c + q*s**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + 5. Let n(q) = 5*q**2 + 3*q**2 + 4 - 11*q**2 + 6*q**2. Determine -5*f(a) + 6*n(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -314303, -628603, -942903?\n\"Answer: -314300*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88 - 335*n + 61*n - 88 + 5 + n - 5 + (2*n + 5 - 5)*(-1 + 0 + 0) - 2 + 2 + n - 2 + 2 + 2*n.\nAnswer: -272*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1 + 4 - 3 - z. Suppose -6*q + 117 - 7 = -61*q. Let y(h) = -h + 1. Suppose 3*t + 2 = -1, -3*r + 5*t = -8. Determine q*w(o) + r*y(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/(4\/((-48)\/(-21)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-33))\/(4\/(-8))*1\/46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m**2 + 4*m - 2. Let a be w(3). Let r be 8\/a + (-4)\/(-84). Let b = 13.43 - 8.43. What is the closest to 0.4 in -4, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 26 = -34, -36 = -5*w - 2*m. What is the lowest common multiple of 52 and w?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 3*x**2 + x**2 + (-3 + 3 - 3*x)*(-1415 - 411*x + 1415) to the form d*x**2 + i + n*x and give d.\nAnswer: 1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1020.947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 - 0.25. Suppose -16*y = -23*y - 7. Which is the closest to 9? (a) w (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*f + 74 + 176. Suppose 1678 = f*o - 8*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 3*m + 1. Let p be a(-5). Is 10 a factor of 6\/p*(-25 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p - 2*p)*(108*p + 13*p - 43*p).\nAnswer: -234*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 746*l - 6628. Determine c(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 708 - 677. Which is the nearest to -1? (a) -2\/9 (b) r (c) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5 - 90*f**4 + 172*f**3 + 4*f**2 - 174*f + 86.\nAnswer: 2*(f - 43)*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -50 + 65 + t**3 - 23*t + 20*t**2 - 5*t**2. Let z be p(-16). Suppose 2*h - 21 + z = 0. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5152.99972558 + 5153. Round j to six dps.\nAnswer: 0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12201)\/469 + ((-570)\/(-7638))\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 327 by -15457.\nAnswer: -327\/15457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**5 + 3*l - 3. Let s(y) = 0*y**2 + y**5 + 2*y + 0*y**5 - 2 - y**2. Let z(p) = -2*c(p) + 3*s(p). Find the third derivative of z(a) wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 10}. Give prob of sequence jvvv.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*i + 364*i - 70*i + i**3 - 135*i.\nAnswer: i**3 + 653*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15786040 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.2 - 0.2. Suppose 0*j + 16 = 2*j. Suppose -3*d + 4*k = -11, k - j = -4*d + 3*k. Sort -2\/5, v, d.\nAnswer: -2\/5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -229*o**5 - 8*o**4 + 355*o**3 - 1495*o**2 - 54823 wrt o.\nAnswer: -13740*o**2 - 192*o + 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = y - 5*o + 11, 0 = 2*y + 4*o + 12. Let q(h) = 5*h**2 + 8*h - 8. Suppose -2*t - 10 = -4*t. Let u(c) = 3*c**2 + 5*c - 5. Give t*q(i) + y*u(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*y**3)*(5 - 15 - 5) to k*y**2 + o + h*y + m*y**3 and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*z - 2*f + 13 = 0, -f + 5 = 0. Suppose z*o + 4*m = 324, 76 + 487 = 5*o - m. Suppose 35*x + o = 39*x. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 13. Which is the closest to 1? (a) d (b) 1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*1*1.\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568873448.\nAnswer: 2, 321109181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -13. Suppose -c*l + 6 = 0, 2*g + 5*l + 1045 = 7*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let j(z) = -9*z + 4*z - 5*z. What is 3*j(c) + 24*x(c)?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/15 + 16354*d**3\/5 + 1325948*d**2\/15 + 1506224*d\/5 = 0 for d.\nAnswer: -23, -4, 0, 24558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 468.2546 milligrams in tonnes?\nAnswer: 0.0000004682546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17770348 and 4064.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 28, 73, 156, 289, 484, 753, 1108?\n\"Answer: 2*t**3 + t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 - 33*z**2 - 120*z - 144 = 0. Calculate z.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 6. Let o(a) = -a + 1. Give o(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -148*t - 9221. What is n(-57)?\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -0.5, 1, -2\/39 in descending order.\nAnswer: 1, -2\/39, -4\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from {l: 10, y: 5, t: 3, u: 2}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 + 569*x**2 - 2976*x + 6. Give r(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 938.26825 + -0.16825. Let o = p + -938. Let j be (-3)\/((-45)\/2)*3. What is the closest to o in -6, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3410, 1 in ascending order.\nAnswer: -3, 1, 3410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 30 = f + o, -4 = -4*f + 4*o. Solve f*y = -r + y + 8, 2*y = -2*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 9*x**2 - 8*x + 6. Let h be y(-8). Suppose -h = 3*z - 4*z. What is the greatest common divisor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**5\/12 - f**3 + f**2. Let j(r) = -4*r**2 + 5. Let t(b) = 6*j(b) + 5*n(b). Let u(z) = -9*z. Determine t(u(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, f: 2, q: 3, s: 2}. Give prob of picking 2 f and 1 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -210541044 (base 6) in base 13?\nAnswer: -9bc794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6561\/(-3645)*140\/(-162)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6*p - 485080. Let j = p + 201016. Round j to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.16.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -10043.\nAnswer: -50215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63 or 0.234?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*g - 4 - 8, 28 = -3*j - 5*g. Let h(b) = 98*b**2 - b. Let f be h(j). What is the greatest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 107 = 3*s - 2*d, -2*s = d - 73. Suppose 2*u - 10*u + 112 = 0. Let x = 18 - u. What is the highest common divisor of x and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -207 (c) -1\/2 (d) 5 (e) -2905 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856 is divided by 880?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 - 4*k - 72. Calculate i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2065*r + 4097. Calculate p(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccofccffic. What is prob of sequence foi?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/95 and -151\/6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.21 (b) -4 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times -1.4?\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(7\/3)\/(s\/s**(1\/3))*(s*s\/((s**(-19)\/s)\/s))\/((s\/(s*s\/(s\/s**(3\/2))*s))\/s) assuming s is positive.\nAnswer: s**(169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.7382655 rounded to 2 decimal places?\nAnswer: 23.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 262*v + 271*v - 533*v.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-223 - 151 - 116)*(3 - 3 - 2*w)*(-2*w + w + 0*w) in the form b + u*w**2 + c*w and give u.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 30*g - 5*g = 3*q + 65, 5*g - 5*q = -0 - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z - 3*z + 428 + 398 - 13903 - 13*z.\nAnswer: -z - 13077","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*d + 36*d - 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y**5*y)\/((y*y*y**0)\/y**(-5)))\/((y**(-1)*y)**(8\/9)\/(((y\/((y\/y**(1\/3))\/y*y))\/y)\/y)**(1\/8)) assuming y is positive.\nAnswer: y**(115\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (34 - ((-2 - 4) + 17))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbfifbffabibaffeeebe. What is prob of picking 1 i, 1 e, and 1 f?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = -5*d - 24, -r = -4*r - d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*r**2 - 121*r**2 + r**2 - 16*r**2 + 715*r - 605 + 5*r**3 = 0. Calculate r.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983677\/5 > 196736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383 - -385. Calculate the least common multiple of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 - 2*p - 3*p + 0*p - p with respect to p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 2. Let z(a) = -5*a - 13073. Calculate 3*s(l) - z(l).\nAnswer: -l + 13079","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-60936.4\nAnswer: -60936.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 10*l, -5*u + l = -8*u - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixteenth of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 2*b - 12. What is i(4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 9) in base 3?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (27\/3)\/(-1). Let l be 0 + 2 + p\/(-2). Let y be (-6)\/l + (-1)\/1. Solve 0 = y*v - 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18829, 18500, 17951, 17182?\n\"Answer: -110*b**2 + b + 18938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 29, -13, -71, -145, -235?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 98. Calculate the greatest common divisor of g and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - z - 3*z - 4, 5*f - 6 = 4*z. Find the third derivative of f + 304*u**2 - 126*u**6 - 8*u**6 - 298*u**2 wrt u.\nAnswer: -16080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*((0 + 2 + sqrt(833))*3)**2*-3*-2.\nAnswer: 9072*sqrt(17) + 271188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -5, 5, -0.1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12815 divided by -233?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0248729833 - -2.1651279867. Let g = 0.03 - 2.22. Let f = g + y. What is f rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.587*4\nAnswer: -2.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -2*u**3 + 1. Let a(k) be the first derivative of 2 + k**2 - 5 - 2. Give j(a(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.62 * -4.\nAnswer: 166.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 61*h**3\/6 + 52*h**2 - 2*h - 1. Differentiate z(i) wrt i.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1877 * 314818.\nAnswer: 59091.3386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:12 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30111 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*d + 20 = -7*s, 0 = -3*d + 12. Let z be (s - -1) + 47 - -3. Let l = 56 - z. Solve l + 5 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in sixty-six sevenths of a week?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-60)*(-3)\/(-2). Let n = -0.21 + -0.05. Let q = n + -0.14. Which is the nearest to -4? (a) q (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**7\/840 - d**6\/120 - d**5\/40 + d**4\/12 - 16*d**3\/3 + 25*d. Let u(z) be the second derivative of l(z). Give u(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/7))**(2\/83) assuming u is positive.\nAnswer: u**(-12\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0192896 micrometers to millimeters.\nAnswer: 0.0000192896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -28725*v + 113782. Calculate d(4).\nAnswer: -1118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 2*k = -160. Suppose -18 = -k*y + 22. Suppose -5*r = v - 1129933 + 2814932, y*r - 2*v + 1685002 = 0. What is r rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -6)*1 - (0 + -5). Let w(b) = -2 - 7 + b**2 + 2*b - b**d + 5*b**2 + 3. Determine w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-4)*(-64)\/24. Is v + 1961 + -5 - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -44?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1831, 1830, 1829?\nAnswer: 1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24366665?\nAnswer: 5, 4873333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 573957 + 4100008. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 14. What are the prime factors of a*(-12)\/(-9) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 8:28 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27.1 and -8279794.\nAnswer: -8279766.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -4. Let m = -20 - -19. Let w be (m - 3)*1 - -2. What is the nearest to s in 3, -4, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 1 - (-34 - -15 - -22).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 24*y**2 - 85*y + 5. What is i(3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -347 in -3, -1\/11, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733 = 488*s - 8894 - 5013 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**(1\/8)\/c)))\/c)**26)**(-11\/2) assuming c is positive.\nAnswer: c**(2145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331793500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + -12 - (-4 + 2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 5 - (4 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u - 60 = -29*u. Suppose u = -0*f - 3*f. Let b = -3 - -3.5. What is the biggest value in 2\/11, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 11 (b) 56 (c) 1 (d) 4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 less than or equal to 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -2*f, 4*x - 1 - 1 = f. Put x, -6, 0 in ascending order.\nAnswer: -6, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o + 5 = 0, -4*x = -2*o - 30. Calculate the remainder when 31 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 37793 - 37847 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c3 + dbd?\nAnswer: aea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/30 - j**2. Let k(b) be the third derivative of 0*b**3 + 1\/6*b**4 + 0 - 2*b**2 + 0*b. Calculate k(i(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 10*h - 14. Let r be w(8). Suppose r*x + 60 - 760 = 0. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 10*v**2 + 9*v + 3. Let a be b(-9). Suppose a*o - 9*o = -138. What is the greatest common divisor of 184 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/1*4\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 - 202. Find the third derivative of -j + 3*j - 13*j**4 + 23*j**n + j**3 + 36*j**4 + 7*j**4 wrt j.\nAnswer: 720*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 8:40 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7\/4*-4*18\/168\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25018658 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {s: 5, h: 15}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(1 + 3 - 5)*(-75*t - 7*t**2 + 75*t).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -1307, -4599, -11017, -21605?\nAnswer: -37407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -1382 + 1384. Solve 2*x + 3*d - 12 = 6*x, -m*x = 5*d + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*q + 42 - 34, 9*g - 69 = 16*g - 8*g + 12*q for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*q + 550 = -178*q. Sort 2, q, 5 in ascending order.\nAnswer: 2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 141317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -15061800 to the nearest 100000.\nAnswer: -15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*m + 4. What is the remainder when m is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*4*-3 + -4)**2 + -5)*3.\nAnswer: 2880*sqrt(7) + 302433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 56 and -0.26845.\nAnswer: 55.73155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -100.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -30*b**2 + b + 2. Let h be v(-2). Let l = h - -822. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154791000 rounded to the nearest one million?\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6894918 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10288443779\/1925 + -5344646. Let b = j - 3\/77. Is -1\/3 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/54 + (-72881)\/(-837) is divided by 55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 538 + 115. Suppose -8*t + 243 + i = 0. Calculate the smallest common multiple of t and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 11110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -555 + 557. Let q(c) be the first derivative of 0*c**4 + 5\/3*c**6 + 0*c**5 - 8 + 0*c**3 + 0*c - 5*c**j. What is the second derivative of q(u) wrt u?\nAnswer: 200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 462?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -12?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**9\/252 - d**8\/336 - 29*d**7\/210 + 973*d**5\/20 + 33*d**2 - d + 2. What is the third derivative of g(o) wrt o?\nAnswer: -240*o**3 - 60*o**2 - 696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21649*q**3*u**2 - 113*q**3*u - 14*q**2*u**2 - q*u**2 - 7*q + 3*u - 2 wrt u?\nAnswer: -43298*q**3 - 28*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*s = u + 125*s + 14, 0 = -4*u + 3*s + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2300.7 and 0.12.\nAnswer: 276.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + d**3 - 2*d**3)*(2*d**2 - 3 + 3) - 4*d**2 + d**5 + 4*d**2 + (-2*d**3 + 3*d**3 - 3*d**3)*(d - 2 + 2)*(-60*d + 23 + 61*d - 93).\nAnswer: -3*d**5 + 140*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11722 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - 2) - (-1326)\/(-306)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Let f = q - 0. Let k be 6\/(-28) - 2\/(-4). Sort k, 0.4, f.\nAnswer: k, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - d**2 + 4. Let t(w) = 8*w**3 - 40*w**2 + 20. Calculate 30*o(n) - 6*t(n).\nAnswer: 12*n**3 + 210*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38324.3 tonnes in nanograms?\nAnswer: 38324300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 5. Suppose -4*p - 4*r = -3*p - 20, 0 = -4*p - 4*r + s. Solve -b + 3*b - p = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 642788, 1285628, 1928458, 2571272, 3214064, 3856828, 4499558?\n\"Answer: -k**3 + k**2 + 642844*k - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 735 and 420.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(448)*-2)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 2 + 1 - 10 + (0 - 3 - 3)*(-2*o + 5*o + 2*o).\nAnswer: -32*o - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 118, 10, 2, 36, 1\/3, 0.5, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*b - 285 = 70*b + 5*b - 4635 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/19 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(35\/25).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z + 16*z - 61*z + 405280 = 0. Does 170 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 5 + 5)*(-11*f + 43 - 43 + (-1 + 1 - 4*f)*(5 - 3 - 3)).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4686\/7 + 670. Factor -v*r**3 - 2\/7*r**4 - 2\/7*r**2 + 0 + 0*r.\nAnswer: -2*r**2*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -11. Are -18 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 29. Suppose -k + 4*g + 11 = 0, 3*k - u - 37 = -4*g. What is the remainder when 29 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 2. Let x be z(5). Suppose -2*v = v + m + x, 4*m = 2*v + 28. Let g(r) = r**2 + 2*r - 4. List the prime factors of g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v + 9. Let y be 12\/54 + (-47)\/9. Let g(a) = -5*a - 5. Determine y*g(b) - 3*c(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17698, -17639, -17582, -17527, -17474?\nAnswer: -17423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25332 and 4?\nAnswer: 25332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92766 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 9:31 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (90\/195)\/((-150)\/650)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20918\/3 - 6973. What is the nearest to t in 0.2, -43, 4\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 9*q**2 - 2*q + 77 - 142 as y*q + n + s*q**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1585, 6351, 14293, 25411, 39705?\nAnswer: 57175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/9 - 356*x**4\/9 - 680*x**3\/9 + 4240*x**2\/9 + 2752*x\/9 - 11264\/9 = 0.\nAnswer: -176, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + c**2 + c + 38. What is the remainder when 188 is divided by y(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -101*d + 1. Let i(c) = 2*c - 164. Determine h(i(f)).\nAnswer: -202*f + 16565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1790*k**4 - 499*k?\nAnswer: 21480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10115 is divided by 388.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**2\/2 - c + 77. Give p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**3\/3 - k**2 + 4*k + 15. Let m be 1*-2*3\/2. Give x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/40 and (-7)\/(-9) + -1 - 1674400\/(-7591500).\nAnswer: 9640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63321371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from tewpttwtt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 0.067, -2\/15, -0.54, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 2. Suppose 4*o + 4*p + 4 = 0, o + 0*p + 2 = -2*p. Suppose 0 = 4*q - o*q - 12. Determine b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15640895.\nAnswer: 5, 19, 31, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14912, -29852, -44782, -59696, -74588, -89452?\nAnswer: -104282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105646427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 819210643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + -1 + (12\/2)\/(-2). Find n such that 4\/7*n - 2\/7 - 2\/7*n**b = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/513 and 29\/243333.\nAnswer: 729999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0423 + -0.3577. What is the nearest to -3\/4 in -2, -1, a, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-271 + -1)*(-9)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47471651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 145. Let r = o + 35. Let s = r + 26. What is the nearest to 2 in s, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*m**2 + 2*m - 8*m - 11*m - 8*m**2 wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:31 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17532819\/70238 + -114\/5017. Let c = g - -250. Let b = 2837\/2 - 1456. Find the common denominator of c and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -98459991587 and -102.\nAnswer: -98459991689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + 5) - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 665*d**2 - 252*d - 461*d - 79 + 23 + 48*d. Let s(v) = 35*v**2 - 35*v - 3. Let r(t) = 3*p(t) - 56*s(t). What is the second derivative of r(g) wrt g?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -393, -401, -419, -453, -509?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 x when four letters picked without replacement from {x: 3, f: 4, o: 6, h: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51681957.\nAnswer: 3, 19, 906701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0 + 0)*(-2 + 3 + 1) + 30*t + 7*t - 5*t + 15*t + 11*t - 23*t - 2*t + 2*t + t + (-2*t + 2 - 2)*(3 + 0 - 1) - 2*t + 5*t - t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o + 5. Let f(a) = -7*a - 4. Let r = 11 - 6. Suppose -3*k - 14 - 1 = -4*p, -5*p - 3*k + 39 = 0. What is p*f(t) + r*c(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Let u(v) = -185*v - 1400. Calculate u(-9).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-330)\/(-3)))\/(-4*9\/(-6840)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09208302835 + 0.07?\nAnswer: 0.16208302835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let f(w) = -88*w + 1. Determine f(i(v)).\nAnswer: 88*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 9001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55150151 + -10?\nAnswer: -55150201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-21)*(-70)\/(-4). Suppose 0 = -3*c + 5*h + 8, -2*h + 10 - q = -4*c. Let x = c + 9. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 27*d**2 + 291*d + 474 = 0.\nAnswer: -79\/9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w = -4*d + 7, -2*d + 5*w = -31. Solve -34*i + d = -33*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 4*q = -j - 11, 0 = -2*j + q - 6. Let r = -126 + 123. Is r <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**1*q)\/q**(-3\/10))**(-1)\/((q*(q\/((q\/((q\/q**(1\/7))\/q))\/q))\/q*q*q)\/(q*q**(4\/3))*(q**1)**(2\/53)) assuming q is positive.\nAnswer: q**(-20719\/11130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (4 + sqrt(5) + sqrt(40)\/sqrt(8) - (-1 + sqrt(405))))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.6 - -8.6. Which is the closest to -1\/4? (a) 0.5 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*v + 7 = 46, -3*v = -4*c + 63. Let u(q) = -7*q + 3. Let d be u(-6). What is the highest common factor of c and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 124\/(-28) + (-184)\/(-21). Let d(v) be the first derivative of 15\/4*v**4 + 5*v**2 + b*v**3 - v**5 - 5\/6*v**6 + 0*v - 13. Factor d(r).\nAnswer: -5*r*(r - 2)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/18*(-6)\/8. Suppose -4*g + o*g = -14. List the prime factors of (42\/8)\/(g\/28).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 4 - (-1 + -6 + -245). Let d = 262 - k. Solve 12 = -3*v + d*n, -6*v + n - 20 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200331?\nAnswer: 3, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 474 = -4*k + 5*k, 6*k = -4*x + 1012. Solve -164 = -11*z - x for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5296 divided by 662?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -42795 at least -342363\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*4*(0 + sqrt(931) + 0) + (sqrt(931)*1*3 - (-2 + sqrt(931) + 0)))**2.\nAnswer: -252*sqrt(19) + 33525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -89*p**3 - p**2 - p. Is z(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7272988 + 39083?\nAnswer: 7312071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*o - 5*b + 80, 4*o = -4*b + 36. Solve o*z = 6*z + 3*n - 11, 4*z = -n - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 54*m + 225. What is x(-27)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 5}. Give prob of picking 2 j.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 the square root of 2452 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.343t to grams.\nAnswer: 50343000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000097695 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 20*k**2 + 3*k + 56. Determine t(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 34*f**3 - 288*f**2 + 34*f + 289.\nAnswer: -(f - 1)*(f + 1)*(f + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 6 = 3*o - 11*k, 0 = 3*o - 3*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/3 + 229000*f\/3 + 228998\/3 = 0.\nAnswer: -114499, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 0*i + 9*i**3 - 30*i**3 + 60*i**3 - 35*i**3.\nAnswer: 4*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1609867, 3219739, 4829609, 6439477?\nAnswer: 8049343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39.7501 from -0.087.\nAnswer: -39.8371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142453 + 256094. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*c + 13761, -16*c = -21*c - 6*f + 22940. Calculate the highest common divisor of 116 and c.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.2 - -21.07. What is the biggest value in j, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-114)\/18 - -6 - (-4)\/(-6). Are -5\/3 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -255*d. Let k(l) = 18*l**2 + 13*l. What is k(b(m))?\nAnswer: 1170450*m**2 - 3315*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 66*n = 64*n - 146, n + 43 = -5*f - 48 - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-2 + (-1 - 6)). Let s be (-220)\/15 - (-4)\/f. What is the common denominator of 43\/2 + s\/21 and -53\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r**2 - 13. Let t(b) = -6*b**2 - 155*b + 19. Let s be t(-26). Let c(i) = -7*i**2 + i - 12. Let z(p) = s*c(p) + 6*g(p). Solve z(x) = 0 for x.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/4*(-5 + 1). Suppose 0 = -0*x + 12*x - 432. Calculate the greatest common divisor of g and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18765778, 37531555, 56297332?\n\"Answer: 18765777*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186026 and 46436.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 39286256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + -149.5. Which is the closest to -0.05? (a) q (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -29*q**5\/60 - 127*q**4\/24 + q**3\/3 - 136*q**2. What is the second derivative of a(d) wrt d?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52*y**2 - 9881*y + 22008531.\nAnswer: -104*y - 9881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b + 11. Let y be v(-2). Let k = y - -31. Let p be (k + 1 - 239)*1\/(-2). What is p rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3489 + -2659. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*m + 739 + 24369, v - 2*m = 5019. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2*2)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6890.213 minus -2.90958?\nAnswer: 6893.12258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h**2 + 2\/3*h**3 + 0*h - h**4 - 4. Find the third derivative of l(s) wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/7, 26\/9, 4, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1870.3 + 1870. Suppose -5 - 3 = -4*k. Which is the fourth smallest value? (a) 0.3 (b) s (c) -0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + v + (4*v + 2*v - 5*v)*(2 + 13 + 3))*(-2*v - 3*v + 4*v)*(-11 + 7 + 2) to m*v + r*v**2 + j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/14 + 73\/70. Let y(w) be the first derivative of u*w**4 + 6\/5*w**3 + 2\/5*w - 2 + 6\/5*w**2. What is t in y(t) = 0?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 343 - 342.75. Let g = 0.45 - o. Sort g, -3, -2, 3 in descending order.\nAnswer: 3, g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*-1*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3952692mg?\nAnswer: 0.0000000003952692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 22*o - 101. Let l be x(26). Solve n = 2 - l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 6*v + 7. Give j(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u. Let a(l) = -1329*l**2. What is n(a(t))?\nAnswer: -6645*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 - 196 + 58)*(-1 + n + 1) to o + i*n and give i.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) -0.4 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.4228s to nanoseconds.\nAnswer: 61422800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 4. Let z be v(-2). What is t in 10*t**3 + t**2 - 2*t + 7*t**3 + 3*t**z - 41*t**4 + t**2 + 21*t**5 = 0?\nAnswer: -1\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 620 + 7*j**2 - 3*j**3 - 613 - 11*j**3. Let v(l) = 4*l**3 - 5*l**2 + 370 - 375 + 7*l**3 - 2*l**3. What is 5*o(m) + 7*v(m)?\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1127.8 - -1127.813798. What is g rounded to four decimal places?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = m + 2*m, 4*y = 5*m - 13. Suppose -f + 5 = 4*f, 4*r + 36 = -4*f. Let n = 10 + r. Solve n = 5*g - o, -5*g - y*o = -5*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 279, 1104, 2469, 4368, 6795, 9744, 13209, 17184?\n\"Answer: -b**3 + 276*b**2 + 4*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 - 297*j**2 - 341*j**2 - j + 2 + j**3 + 174*j**2 - 144*j**2 to v*j**3 + i*j**2 + t + y*j and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8. Suppose 0 = 5*w - y*w - 25. Let m = -5 - -9. Is w <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-4)\/n*n)\/n)\/n*n**(-1))**(-2\/91)\/((n**5*n*((n*n\/n**(-1\/4)*n)\/n)\/n*n*n*n)\/(n\/(n**(-1\/3)*n)*n\/n**(-3))) assuming n is positive.\nAnswer: n**(-6341\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 1228204?\nAnswer: -1228205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7179*h**4 - 6522 wrt h.\nAnswer: 28716*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1732970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -44*q**2 + 1. Let n(p) be the second derivative of -5*p**3\/3 - 799*p. Calculate h(n(d)).\nAnswer: -4400*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -41*y**2 + 16*y - 10. Let m be t(10). Round m to the nearest 100.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414053 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v - 2. Let n be w(2). Suppose 0 = -11*k - 591 + 569. Sort n, 0.1, 0.5, k in descending order.\nAnswer: 0.5, 0.1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - g - 2*g)*(36 - 331 - 13 + 111 - 444) as q + a*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:44 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0*i*i)**43)**(-41)\/((i**(1\/3)\/((i*i*i*(i**3*i*i)\/i*i)\/i))\/(i**(-2)\/((i**5*i)\/i))) assuming i is positive.\nAnswer: i**(-15868\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iniiiiinin. What is prob of picking 3 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 13*i**5\/30 + i**4\/24 - 2*i**3\/3 - i**2. Let f be q(-3). Let n = -130 + f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*a - 6. Let s = a - -3. What is the highest common divisor of 35 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + sqrt(150)*-1 - sqrt(150))\/sqrt(10) - (-4*sqrt(75))\/sqrt(5))\/((sqrt(18)\/sqrt(2)*-4 + sqrt(9))\/(sqrt(48)*6 - sqrt(3))).\nAnswer: -23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcmw when four letters picked without replacement from {r: 1, m: 3, u: 2, a: 5, w: 3, c: 6}.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65 - 71 - 22*f**3 - 12*f - 9*f**3 wrt f.\nAnswer: -186*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 15 + 0 - 11 - 3. Let f(d) = -22*d**3 - 6. Determine f(q) + 6*v(q).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 > -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 880279.407s in weeks?\nAnswer: 1.4554884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaoi when four letters picked without replacement from {a: 3, o: 11, i: 4}?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**(-2\/13) assuming c is positive.\nAnswer: c**(-2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48730585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1665, -1629, -1543, -1383, -1125, -745?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/57? (a) 1\/6 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 896 * -6\nAnswer: -5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38550 - 52206?\nAnswer: -12546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**2 + 5*c**2 - 6*c**2. Let v(u) = -3*u**2. What is v(r(d))?\nAnswer: -108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -3. Suppose -2*a = -4*a. Suppose a*u = 2*u - 26. What is the remainder when u is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540 divided by -12\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13)*-2 + (sqrt(65)\/sqrt(5) + -2)**2 + 3.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001449569 rounded to six decimal places?\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 8. Let w = -104 + 116. What is the remainder when 17 is divided by j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44, -1555 in decreasing order.\nAnswer: -1, -44, -1555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 156. Suppose -f = -12*d - 2. Solve k + 2*i + 2 = 6*i, -d*k + 3*i = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 17794?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 7, q: 9, t: 2}. What is prob of sequence qqo?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 9*f + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/2)\/p*p*p*p*(p\/p**6)\/p*(((p*p**(3\/13))\/p)\/p)\/p**(-13) assuming p is positive.\nAnswer: p**(227\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.4 (b) -4 (c) -0.1 (d) 28\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0939 + 43.1939. Let k = -43.1 + l. Let n = -0.7 - 0.3. What is the nearest to -21 in 3, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9*(-2915834)\/2349 + 4\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -300*p - 2648. Give t(-9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 883310400 divided by 176662080\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4011 (b) 0.3 (c) -2\/17 (d) -3\/11 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1. Let l(g) = -g - 3. Let u(v) = -l(v) - 3*o(v). Let m(b) = -2*b**3 - 2*b**2 - 4*b + 1. Determine m(k) + 4*u(k).\nAnswer: -2*k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 52*l + 78*l)*(0 + 0 + 3*l)*(3*l**2 - 2*l**2 + 3*l**2) + 2*l**4 - 7*l**4 - 4*l**4 to the form u*l**3 + q*l + p*l**2 + g + w*l**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 7*a + 4. Let i be o(-8). Let v be ((-5)\/(-3))\/(4\/i). Suppose 25 - v = 2*d. Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhpccbf. What is prob of picking 1 h and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 8652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/624 and 45\/17888.\nAnswer: 53664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.484?\nAnswer: -1.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/5, 71, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 6) + (-9 - (-3 + -2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 24886683.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 7 - 1096*p**2 - 31 + 12 in the form b + r*p + c*p**2 and give c.\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 7 - -2)\/((-175)\/(-770)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/33 + (-117961)\/7249\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i + 4 + 21*i - 10*i + 5 as p*i + q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25189 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4588 and 6443629?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 235*w**2 + 237*w**2.\nAnswer: 472*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 495 - -2 - (2*-1 - -1). Let c be 56\/98 + f\/(-14). Does 19 divide 2*c*(-2 - (-3)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 413 - -987. What is y rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 8}. Give prob of sequence sgg.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002239 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -9. Solve 2 = x + i, -i = 2*x - 5 - c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2673*j**3*y**3 - 10*j**3 + 21*j*y**2 wrt y?\nAnswer: 16038*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 j, and 1 h when four letters picked without replacement from {m: 1, n: 1, s: 2, k: 1, h: 3, j: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 980 and 9470132?\nAnswer: 47350660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10628 + -10633. Which is the closest to 46? (a) 0 (b) 1\/2 (c) l (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3) - -32*40\/15. Suppose -85*d + a*d = -12. List 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 smaller: -258879 or -258883?\nAnswer: -258883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*z**2 - 51*z + 19*z**2 - 10*z)*(0 + 3 - 1).\nAnswer: -4*z**2 - 122*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163721, -327440, -491159, -654878?\nAnswer: -818597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let v(c) = 2933*c**2. What is v(k(r))?\nAnswer: 11732*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 12, -2, -3, 2\/11 in decreasing order.\nAnswer: 12, 3\/2, 2\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20905499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (51\/6)\/((-4)\/(-56)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -326*p - 970. Let z be o(-3). Let q(f) = -f**3 - f**2 - 3*f. Let h be q(-4). Calculate the greatest common divisor of h and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3, 0 = 5*h - 5*r + 2 + 8. Let b = h - -9. Let l(m) = m - 10. What is l(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -14, 2, -28 in descending order.\nAnswer: 2, -1, -4, -14, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 31*k**2 + 1\/24*k**4 + 0*k**3 + 0 - 1\/90*k**5 + 0*k - 1\/360*k**6. Factor z(s).\nAnswer: -s*(s - 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46 - 104 + 83437*d + 251 - 101 + (0 - 4 + 2)*(1 - 1 + 2*d) + 3*d - d + 0*d.\nAnswer: 83435*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.34 - 13. Let p = -4.36 - u. Which is the smallest value? (a) 19 (b) p (c) -1\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - l - 6 = 13, 4*x - 8 = 5*l. Let d be (-8)\/12*x\/2. Suppose d + 2 = 3*u. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2)*6\/(-4). Let i be 6*(-1)\/(-3 + x). Suppose 3*h = -i - 14. Is -0.3 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbizbixgi. Give prob of picking 1 g and 1 z.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Factor 58 + 38*g + 4*g**2 + 0 - 6*g + 6.\nAnswer: 4*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17143 times -3\nAnswer: 0.51429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*m**2 - 360*m**2 - 201*m**2 - 1158*m**2 + m - 2*m to z*m + t*m**2 + k and give t.\nAnswer: -1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -488494100 rounded to the nearest one hundred thousand?\nAnswer: -488500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + (-20)\/(-6). Let w be ((-3)\/(-2))\/(6\/8). Suppose w*k - 4*k = 0. Solve 7*u - 4 = 3*u - 4*n, -u + t*n + 17 = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/((22\/2658)\/(-11)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 965 and 2025342?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j. Let n(t) = 70*t. Determine -16*c(l) + 3*n(l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*i + 44 + 32, 91 = 2*f - i. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = -35*p - 339 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.89688995 to three dps.\nAnswer: 3.897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 13*c**2 - 8*c + 4. Does 15 divide s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -374110, -374159, -374284, -374521, -374906, -375475?\n\"Answer: -6*q**3 - 2*q**2 - q - 374101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13402 and -4.\nAnswer: 53608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -559 - -2235\/4. Let l = -59.9 - -60. What is the second biggest value in l, p, -2, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.96 - -7.14. What is q rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -58. Suppose -2*a + 0*a = -u. Suppose 0 = 16*b - 15*b - 5. What is the remainder when a is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -8.4. Let k = 5.1 + -5. What is the nearest to k in 2\/9, -4, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 7*c + 2. Let m be x(-8). Let b(v) = -v + 10. Let r be b(m). Solve r = -0*h + 2*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/141 - -50\/11703. Let f = u - 1565\/498. Find the common denominator of f and 89\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (40\/(-28))\/((-5)\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72354, 144605, 216856, 289107?\n\"Answer: 72251*n + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3886.7 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 3*k**2 - 2. Let w be q(1). Suppose g = 2*s - w, -g + 3 - 2 = -s. Solve s*t - 24 = 3*m + m, 4*m - 12 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1343 + 28205\/21. Sort 2, a, -4, 6\/7 in descending order.\nAnswer: 2, 6\/7, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15001850701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 6*o - 5. Let g be n(5). Let b be 1*(g - -1) + 1. Suppose -3*v = -4*l + 5, 3*l - 84 = -5*v - 44. What is the highest common factor of v and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60669964 to the power of 1\/2, to the nearest integer?\nAnswer: 7789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(2*t + 0*t - t) - 5 + 5 - 7*t + (-1 + 3 + 0)*(t + 0*t + 2*t) + (-3*t + t + 0*t)*(4 + 0 + 2) + 1 - 1 - 2*t to v + n*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 1. Suppose -n + 19 = 2*s, -4*n + 9*s = 4*s - 128. Let l = -28 + n. Which is the nearest to -1? (a) l (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27197557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:19 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 32*a**2 + 8*a - 3. Let b be w(-4). Let o = 1150 - b. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 370613 and 0.048.\nAnswer: 370613.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -p + 158, -p = 3*p - 20. Which is smaller: b or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 28. Suppose -s - 2*s = -4*v - 13, -v = -u*s + 7. Suppose -a + 0*m - s*m + 59 = 0, -5*a + 2*m = -295. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 22) + 8 + -2 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + 1789*a**2 - a - 5. Let h(s) = -4*s**3 - 2685*s**2 + s + 7. Determine 5*h(f) + 7*y(f).\nAnswer: f**3 - 902*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1083337, -1083352, -1083367, -1083382?\nAnswer: -1083397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/(38 - (-9732)\/(-256))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79064.13 to the nearest one thousand.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1219644, 2439290, 3658932, 4878570, 6098204, 7317834, 8537460?\n\"Answer: -2*z**2 + 1219652*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*o - 39*o - 729 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3 = 662767521*i - 662767523*i, i - 5*m = 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*z - 9*l + 4792, 4*l - 7984 = 5*z. Let f = -784 - z. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*b + j, 17 = -b - 1112*j + 1108*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 22813701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (109994\/(-8953))\/((2\/28)\/(9\/(-36)))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, f: 1, p: 5, t: 1, m: 3}. Give prob of sequence ftp.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 14*o - 54 - 14*o in the form w + q*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 + -3b118?\nAnswer: -3b14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -7) + (4 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 5*h**2 - 3*h**2)*((h**2 - 2*h**2 + 3*h**2)*(-3*h + 2*h + 2*h) - 3*h**3 + 7*h**3 - 2*h**3 + 0*h**2 + 0*h**2 + 2*h**3).\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g. Suppose 16*q - 44 = 12*q. Let p(n) = 15*n. Determine q*y(r) - 2*p(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 199814125.7953 and -0.12.\nAnswer: 199814125.6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1736\/41527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 900.58 - 900. Sort -0.2, u, -25.\nAnswer: -25, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -r + 5, 0*r + 5 = -2*m + r. Suppose w - 3*i - 6 = m, -2*w + 5*i = -7*w + 10. Solve -w*c + f = 15, 5*c + f + 17 = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let t = -142 + 147. Suppose 4*g = 3*p + 117, -t*p + 38 + 1 = o*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 99, -4, 9 in descending order.\nAnswer: 99, 9, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3*q*u - 2*h**3*q + 7*h**3*u**2 - 6*h**3 + 2*h*q*u**2 - 2*q wrt u.\nAnswer: 14*h**3 + 4*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15461564024 + 0.35?\nAnswer: -15461564023.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19 - -10) + 11 - 8) + -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n\/(n*n*n**(-4)*n))*n**(2\/51)*n assuming n is positive.\nAnswer: n**(-49\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 31 + -30 + -4 + 11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.85? (a) 0.3 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(4*o**3 - o**3 - 2*o**3) - 1095*o - 1309*o - 78*o**3 + 79*o**3 + 606*o.\nAnswer: 2*o**3 - 1798*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 7*p - 10. Let n be t(4). Suppose 6*v + n = 11*v. Differentiate -16*l**4 + 3 + 3 + v + 0 wrt l.\nAnswer: -64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f + 469 - 46927*f**2 - 46957*f**2 + 93781*f**2 wrt f?\nAnswer: -206*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 16 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c + 1\/42*c**7 + 0*c**5 + 0 + 0*c**3 + 0*c**2 + 7\/6*c**4 + 0*c**6. Find the third derivative of y(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 27, 30, 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200 - -121. Let x = l + 292. Find the third derivative of x*i**4 + 8*i**2 - 188*i**4 - 41*i**2 wrt i.\nAnswer: 600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6137 + -6138. Let m = 14.18 + -0.18. Which is the second biggest value? (a) m (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-4)*(-9)\/(36\/(-8)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -93, -142, -193?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o - 10. Let s be f(-4). Calculate the highest common factor of s and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30955 divided by 932?\nAnswer: 30955\/932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144460421 is divided by 293?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 3*j**2 + 9*j - 3. Calculate k(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 328*n**2 - 6724*n = 0. Calculate n.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2*m**3 - d**2*m + 5339*d*m**3 - d*m**2 - 986*d - m wrt m?\nAnswer: -12*d**2 + 32034*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 + 8.84. Let o = -13 + f. Let q be (-10)\/6 - (-3)\/3. Which is the closest to 2\/7? (a) 1 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:54 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 247058033 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858547.15*-0.4.\nAnswer: 343418.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18006*w. Let t(k) = 20*k**2. Determine u(t(h)).\nAnswer: 360120*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/7 + 8*m\/7 - 6\/7 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 81*w + 4. Let q(h) be the second derivative of -7*h**4\/6 + 3*h + 87. Determine g(q(r)).\nAnswer: -1134*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/11 (c) -1.1859 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3\/(-5))\/((-144)\/540)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + -1 + sqrt(245) - sqrt(245))**2 + sqrt(245).\nAnswer: 5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 11*v**2 - 15*v + 13. Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or 12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 - 139. Let -1\/3*t**3 + 1\/3*t**4 + 0*t**2 + w*t + 0 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.8 (b) 2\/19 (c) -0.62 (d) -313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 98 = 18. Suppose -150 - 153 = -2*k + 5*p, -4*k - 4*p = -564. What is the greatest common divisor of j and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.300169 times 3.7?\nAnswer: -1.1106253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**3 - 2*u**2 + 8*u + 17. Let i be b(-6). Suppose 3*l - 1181 = 2*v, v = 3*l + 5*v - i. List the prime factors of l.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 777.\nAnswer: -1\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*r**3 + 20*r**2 - 16 - 8*r**2 + 19*r**3.\nAnswer: -4*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221267967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 2, k: 7}. Give prob of picking 1 k and 2 x.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**35*f\/(f\/f**(1\/5)*f)*f\/(f\/((f\/(f*f**7))\/f)*f) assuming f is positive.\nAnswer: f**(-371\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 905 and 18325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 73*r - 65*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12) + (-4938)\/(-10593). Let q = d + 2\/107. Let n = -1016\/357 - -50\/17. Which is the closest to -0.2? (a) n (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, i: 1, l: 2, h: 1, g: 1}. Give prob of picking 1 o and 2 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02102029 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9206, -18419, -27632, -36845?\n\"Answer: -9213*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**2 - 4*x - 1\/2.\nAnswer: -(4*x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125340 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -71421\nAnswer: -1\/71421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/123 and 34\/123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 59508.91nm?\nAnswer: 0.00000005950891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.93 + -0.63. Which is the second biggest value? (a) 3 (b) -0.5 (c) 0.2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 99. Let j be i(26). Sort 2, -2\/3, j, 4 in ascending order.\nAnswer: -2\/3, 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - m)*(m**4 + m**4 + 0*m**4) + 3*m**5 + 1 - 2 + 4*m**5.\nAnswer: 9*m**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - z**3 - 2 + 9*z**2 - 7*z + 6. Let y be q(8). Suppose -4*n + 20 - 3 = 5*a, 5*n - 11 = 4*a. Solve -y*c = -19 + n, -2*r - 4*c = -24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21038356198.899999634 - -21038356218. Let c = k + -19.1. What is c rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -292497639.272996?\nAnswer: 292497642.272996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 15. Let d = h + 5. Let j = d + 7.5. Which is the smallest value? (a) 1 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782)*-4)\/sqrt(11).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001893736 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 6. Let h be (-1)\/((15\/i)\/(-5)). Solve -3*y + 4*y = -3*a + h, y - 15 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a century in decades?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-18)\/(-108)*(-12)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/35 and 72\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-4)*-1)\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -3*t - 3, -7*z + 4*z - 6 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/10 + 11*s**2\/5 + 47*s\/10 + 12\/5.\nAnswer: -(s - 24)*(s + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 + 16 - 19)*(0*n + 2*n + 0*n).\nAnswer: 6*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*b + 8. Suppose b*a - a = 196. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 3*o + o)*(-3 + 1 + 0)*(0*o**2 + 3*o**2 + o**2 + 6*o**3) as a*o**4 + p*o + f*o**2 + j*o**3 + b and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 551 = -t - 4352, -1277 = x - 3*t. Is (x\/(-8))\/(1\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -686 - -694. What is the greatest common divisor of 296 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4194, -4165, -4134, -4101, -4066, -4029?\n\"Answer: h**2 + 26*h - 4221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than -1023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 265 = 10*k - 34*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -20. Let p = -5 - b. Let w be (-1)\/((-2)\/(-4)) + 1. Put p, -3, w in increasing order.\nAnswer: -3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651.1 minus -393?\nAnswer: 3044.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1939 = -10*k + 3*k. Let f = 503 - k. Suppose -98 = -2*c + 5*o, 0 = 5*c - o - 2*o - f. Is 44 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 - 257. What is the greatest common factor of h and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1865878 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 3*g**2 - 2*g - 3. Let o be u(-3). Suppose -2*x + x = 2*d, 0 = -4*x - o*d + 5. Is x equal to 14\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 151. Does 26 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -733106 - 5?\nAnswer: -733113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 (base 6) in base 9?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21601\/12432410 - -2\/20381. Do 1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-9)\/6)\/2. Let c = 3\/20 - -1\/260. What is the nearest to z in c, -5, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 10:00 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 + 34*m + 3. Let r(o) = -10*o**2 + 51*o + 4. Let l be 64\/8 + 0 + -4 - (6 - -3). Determine l*r(b) + 7*w(b).\nAnswer: b**2 - 17*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 35 = 10*c. Let a = 104 - c. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let u = -3.11 - -0.11. Which is the smallest value? (a) -3\/8 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 62060*p + 435. Let n(s) = 286*s + 2. Calculate 2*g(d) - 435*n(d).\nAnswer: -290*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) -0.02 (b) 4 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/19 + 1066\/741.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 573, 1147, 1721, 2295, 2869?\n\"Answer: 574*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = -3*q, -2*z - 34 = -4*q. Is z at most -31\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3 = -2*g. Let t = g + 6. Calculate the remainder when 2 + (4 + -10 - -1) + 29 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-2)\/((-16)\/8)). Let v(d) = -2*d**3 + 5*d + 4. Give v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1. Let t(g) = g. Let m(d) = 2*k(d) - t(d). Let f be m(7). Put -1, f, 4 in descending order.\nAnswer: 4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3186)\/(-1770))\/(6\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*-3)**2*-1 - (sqrt(19)*-2*3 + -3).\nAnswer: -10941 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 314?\nAnswer: 9106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -134*x + 0*x**4 - 18\/5*x**5 + 0*x**2 + 50 + 0*x**3. What is the first derivative of y(w) wrt w?\nAnswer: -72*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220432.\nAnswer: 2, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -z - 3*h + 44, 5*h - 203 = -4*z. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + -2 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j + 3. Let k be h(-2). Let y = k - -15. What is the second derivative of 6*d - 7*d - y*d**5 - 3*d wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -50, -16, 16, 46?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966606.\nAnswer: 2, 3, 19, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 k, and 1 f when four letters picked without replacement from {f: 1, l: 2, x: 1, k: 1, z: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 77, 114, 149, 182?\n\"Answer: -j**2 + 42*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, q: 3, r: 3, h: 1}. Give prob of picking 1 h and 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11696 - -11781. What is the closest to 0.1 in -1\/2, u, 5\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*48\/(-16)*-1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3443 + 11231?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/3 - 70498*s**4 + 1864759932*s**3 - 162097514668*s**2\/3 + 363213746830*s + 419111082150 = 0. What is s?\nAnswer: -1, 15, 52859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 36. Suppose 52 = -i*b + 7*b. Is 27 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126163851, -126163854, -126163857, -126163860, -126163863, -126163866?\nAnswer: -126163869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 6:12 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 14 + 152 = 0. Let l = 86 - x. Suppose 10 + 10*k**3 - 4*k**2 - 2*k**5 - 4*k - k + 10*k**4 - 16*k**2 - l*k**5 = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351580 (base 13) in base 14?\nAnswer: 24b19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/7)*t**(-5))\/((t**(-7)*t)\/t**(-7)))**(-2\/37) assuming t is positive.\nAnswer: t**(78\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -254.7 and -0.3.\nAnswer: 76.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53566 = 5*r + 3*b - 53571, 0 = r - 2*b - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d - 3. Let z be x(-4). Let b be (-4)\/(-14) - (-10)\/z. Suppose b*m - m = -10. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56775 - 21176. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17627, 17619, 17611, 17603, 17595, 17587?\nAnswer: 17579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 10*w**2 + 5. Let y be j(-7). Suppose y + 191 = 5*q. Calculate the highest common divisor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 20 = -6*x + 4*x, 74 = 5*n + 3*x. What is the remainder when 23 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-15 - ((-3 - 25) + -14)) - 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7728 by 1104.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v - 20*v = -29*v - 121365. What is the highest common factor of 1215 and v?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 5*n + 7. Let d be t(5). Let j = d + -7. Solve -r = -2*s - 3*s - 10, j = -5*s - 5*r + 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100111011 - 11010110?\nAnswer: 12100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -806651*m**2 + 29*m + 40*m + 806653*m**2.\nAnswer: 2*m**2 + 69*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*k - 56*k + 97*k)*(29*k**2 + 47*k**2 + 7*k**2)*(-3*k**2 - 4*k**2 + 5*k**2).\nAnswer: 3818*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1116*q**3 + 1023*q**2 - 341. Let a(d) = -2*d**3 + 3*d**2 - 1. Calculate -1364*a(z) + 4*r(z).\nAnswer: -1736*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-15)*(-5)\/2. Suppose s*m + 36 = -5*v, 2*m = v + 2*v - 36. Let y = m + 28. Calculate the remainder when 29 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 - 129. Let m(p) = 2 + 15*p + o - 2832*p**2 + 3 + 2833*p**2. Give m(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 7:12 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 3*s - 2*y + 364, s - 2*y + 79 = 0. Let p = 177 + s. Let z = -9075 + 9085. What is the greatest common factor of z and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -2*a**5\/25 - a**4\/5 - 2*a**3\/15 + 11. What is i in j(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49561*b*g**3 - 2*b*g**2*h**2 - 56*b*h + 7*g**3*h**2 + 331*g**2*h + 3*g**2 wrt g?\nAnswer: -297366*b + 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -78739110 - -7?\nAnswer: -78739103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from slslls.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c - 3232 + 3213 - 131*c.\nAnswer: -98*c - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times -0.021?\nAnswer: 0.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.325 + -327.325. Let r = f + 329.07. Let n = -0.07 + r. Which is bigger: 1\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**4 - h**2*i**2 - 9*h*i**2 + 32*i**2 - 5 wrt h.\nAnswer: 12*h**3 - 2*h*i**2 - 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697577677.\nAnswer: 3, 299730853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 15599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -5, 5, 2\/67, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 + 2*h**2 + 2*h + 1. Let j be f(-1). Let x be (-4)\/6 - (-244)\/j. Is (-2 - -6)\/(-4) + x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/30 + 31*d**2. Let h(k) = -22*k. Calculate h(r(u)).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-1 - (-7 + 7 + 11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Suppose -3*q + 3*p + 7 = 13, 0 = q + p. Calculate y(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 14*n + 14. Let i be q(-12). Let u = 12 + i. What is the second derivative of -26*m**5 - 12*m + u*m**5 + 19*m wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 104b - 554?\nAnswer: af7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**8*d**(-6)\/d*d**(-3\/8)\/((d*(d**(-5)*d*d)\/d*d)\/d) assuming d is positive.\nAnswer: d**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 972509 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t - t**2 + 57 - 28 - 22. Let p(u) = u + 20. Let m be p(-9). Let j = m - 5. Calculate z(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 2. Let d be m(-2). Suppose -3*b = 3*q, d*b - 5*b + 5*q = 0. Suppose b*j = -2*j + 24. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 9*d - 8. Let k(t) = -t**2 - 9*t + 9. Let w(f) = -4*i(f) - 3*k(f). Let j be w(-10). Which is the nearest to -2? (a) 4 (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.3? (a) 7\/2 (b) 4 (c) 0.1 (d) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-2))\/(((-33)\/198)\/((-2)\/6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21713.\nAnswer: 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 - 132. Put 3, -4, u, 1 in descending order.\nAnswer: u, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1622936 divided by -1588.\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -35. Suppose -95 = -3*t - 2*t - 2*q, 0 = q + f. Find the third derivative of -21*g**3 + 0*g**2 + t*g**3 - 3*g**2 - 26*g**5 wrt g.\nAnswer: -1560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let w = 16 + -14. Let a(d) = 3*d**2 - 3*d**2 + 0*d**w + d**2. What is a(p(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 plus 6958672?\nAnswer: 6958692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 24\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {r: 4, w: 1, k: 4, j: 1, n: 1, m: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 306 - 146. Let h = q + 55. List the prime factors of h.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(288) + sqrt(288) + 0 + sqrt(288) - (sqrt(288) + -4*-2*sqrt(288) + sqrt(288) - sqrt(288))**2 - ((2 + -1 + 0 + sqrt(8))*-3)**2.\nAnswer: -23412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x - 3. Let s(l) = -l**2 - l - 3. Let z(u) = 3*j(u) - 4*s(u). Let r be z(0). Solve -4*q - r = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1700.8488us to days.\nAnswer: 0.00000001968575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 - -162?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9))\/((-2)\/12 + 0). Is 4 a factor of 4\/(x + 2)*(-54)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*l + l - 6 = 0, -4*q + 2*l + 6 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, 1 m, and 1 f when four letters picked without replacement from ccfmcmmrmmmccmcmmmmg?\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 + 27*l - 7. Let d be u(-5). Let j(q) = -q**3 + 8*q**2 + 5. Determine j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 24. Let v = -2 + 1.8. Sort -5, v, w in ascending order.\nAnswer: -5, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 + 836*f. Let g(x) = -7*x**2 - 835*x + 1. Give -2*g(c) - 3*z(c).\nAnswer: 2*c**2 - 838*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -214114 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 160, 319, 478, 637, 796?\n\"Answer: 159*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + n - 8, 4*y - 2*n + 4 = -0. Let m(k) = 5*k**2 - 3 - k - k**2 + 0*k**2 - 1 + k**3. Give m(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 5201, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/12*2)\/((-3)\/9). Find the second derivative of 23*l**4 + 24*l**4 - 50*l**v - 30*l wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 720 = -3*h, 0 = -2*h + 4*u - 2*u + 484. Let w(m) = -488*m - 6 + 236*m + h*m. Let d(n) = 0 + 7 - 2*n + 10*n + 0. What is 4*d(f) + 5*w(f)?\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -63*s**3 + 3*s**2 + 4*s + 3. Let p be h(-1). Let y be (52\/7)\/((-8)\/(-28)). Calculate the highest common divisor of y and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (348*u + 20*u**2 + 302*u - 676*u)*(u + 2*u - 2*u).\nAnswer: 20*u**3 - 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231203040 and 1?\nAnswer: 231203040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 81590358350+-1.874\nAnswer: 81590358348.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10286454?\nAnswer: 2, 3, 1714409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*c + 24*y, 3*c + 3225*y = 3222*y + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*v - 3, 33 = 5997*v - 11988*v + 5989*v - 3*g for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z + 452 = -295 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 12) in base 4?\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 25*m**2 - 18*m - 9. What are the prime factors of k(26)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17531 is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*f - f**4 + 6*f - 10*f wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3212*z + 78. Let y(q) = 1070*q + 28. Determine 5*g(h) - 14*y(h).\nAnswer: 1080*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7209142.\nAnswer: 2, 47, 271, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-15))\/(6\/60). Let z be (-68)\/(4 - n) - 2. Find the first derivative of z*h**3 - 2 - 17 - 21 wrt h.\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 2:52 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32601183 or 32601185?\nAnswer: 32601183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*p + 100*p - 308*p + 100*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(768) + (sqrt(768)*1)**2 + -2 + -2 + (sqrt(768) + 1*sqrt(768)*3 + sqrt(768) + (-2*sqrt(768) + sqrt(768))*4)**2 + 2.\nAnswer: 16*sqrt(3) + 1534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85723634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 10*a = -4769. Is 37 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*240\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9*i + 24. Suppose 2*u = -12 + i, -p + u = -12. What is the smallest common multiple of p and 0 + 3\/(6\/28)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 11*l - 160 = 0. Calculate the common denominator of 1 + l\/(-18) + 4994\/1287 and 97\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 != 274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*c + 6 = -1, z + 2*c = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*w**2 + 406 - 406 + (2*w**2 - w**2 + w**2)*(3 - 19 + 0) in the form i*w + m + x*w**2 and give x.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -315562 - -5?\nAnswer: -31555a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 75*u - 120, -2*v + 12340*u = 12337*u - 15 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*q**2 - 24*q**2 + 22*q**2)*(2*q**3 - 3*q + 3*q + (4 + q**2 - 4)*(2*q - q + 2*q) + q**3 + 0*q**3 - 2*q**3).\nAnswer: 40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30970160*m + 15483022*m + 15487136*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, k: 2, q: 3, b: 1, e: 4}. Give prob of sequence bc.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6194186958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:36 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -52. Put a, 4, 3 in increasing order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624338 is divided by 14419?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 5*o - 8. Let f be p(7). Suppose -19 = 4*r - f. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 181*y + 805. What is r(-5)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0914379972 + -1003.0919969972. Let j = c + 1003. What is j rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 179, 469, 881, 1427, 2119, 2969, 3989?\nAnswer: 5191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.36, 4, -0.09267, -2?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1808 and 17738288?\nAnswer: 17738288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113641 is divided by 1479.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71*z + 94*z - 142*z - 2*z - 2*z + 3*z + 4*z - 2*z + 0*z + (-1 + 1 + 2*z)*(-1 + 3 + 0) - 2*z - z + 4*z + 2 - 2 - z.\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - a**2 + 2*a - 2. Let x be b(2). Suppose 0 = -x*f + 23*f - 6030. Round f to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13622, 3, -4, 1, 0 in descending order.\nAnswer: 3, 1, 0, -4, -13622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from svsdvlrtt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {o: 1, g: 3, b: 12, w: 4}?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 60*w + 4. Let c be m(4). Suppose d = 5*b + 4*d - c, 2*d = 3*b - 135. Suppose 2*g - 5*g = -36. Calculate the remainder when b is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 10 = 3*s - 4*s, 3*s + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.6 - 7.26. Let p = 0.06 + s. Let o = 0 + p. What is o rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t + 14. Let c(o) = -4*o - 13. Let b(w) = 6*c(w) + 5*n(w). Let q be -2 + 4*1\/2. Determine b(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/21648 and -61\/526768?\nAnswer: 1580304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -2*u + y + 10, -3*u = -y - 15. Suppose -13 = -i + 3*n - 4, 15 = 5*i - u*n. Solve -l = -i*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/3))**(-2)\/(x**(-1))**(-17\/6))**43 assuming x is positive.\nAnswer: x**(-1591\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 9*m + 22. Let l be x(-6). Solve -4 = 4*r + l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxyxxxyx?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = s - 4, -3*p + 3*s - 16 = -s. Let x = -195 - -199. Solve p = -k - x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 8) in base 2?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0850769 to 3 dps.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 30*n**2 - 144*n + 24. What is the tens digit of u(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 4, d: 1}. Give prob of sequence bed.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 659524207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31959*h*l - 3996*l + 2 with respect to h.\nAnswer: -31959*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 - 1 + 1)*(i**2 + 2*i**2 - i**2) + (-1 + 4 - 2)*(i**4 + i**4 + i**4) to c*i**2 + w*i**3 + d*i + p + j*i**4 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 7*o**4\/6 + 4*o. Suppose 24*f = 27 + 165. Calculate the remainder when s(1) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + (sqrt(1216) + 0 + 4)**2.\nAnswer: 72*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2 - 2*m + 4. Let i(b) be the third derivative of -11*b**5\/60 + b**4\/8 - 5*b**3\/6 + 112*b**2. Give 4*i(l) + 5*j(l).\nAnswer: 6*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (4 + (10 - 15) + 12)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13368 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1696 - -0.2304. Suppose -17 = -3*n + 37. Let i be (-6)\/9 - (-39)\/n. What is the nearest to 0 in -5, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212010012110 (base 3) to base 8.\nAnswer: 1570603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 173a9?\nAnswer: -17403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718 - 1 - (5 + -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2682)\/(-1788))\/((-70)\/(-4))*1\/(2\/(-7))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88155 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121000 (base 3) in base 5?\nAnswer: -3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 32*b**2 - 422*b + 13578. What is z(32)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -2\/3, 97, -4, 2\/9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/99 and -64\/105.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(171) + (sqrt(171) - sqrt(171)*1))*3*-4 + (sqrt(171)*-1*-1 - -5*(-2*sqrt(171) - sqrt(171)))))**2.\nAnswer: 2889900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371 is divided by 149.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 21*o = 26. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 16*a**2 - a - 2. Let w(b) = b**3 - b**2 + b + 1. Give u(z) + w(z).\nAnswer: 3*z**3 + 15*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-309 - 101 - 69)*(-17 + 3 + 0)*(-2*o**3 - 2*o**3 + 6*o**3 - o**3 - 2*o**2 + 2*o**2 + (o + 2*o**3 - o)*(2 + 1 - 4)).\nAnswer: -6706*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 10*u**2 - 8*u + 8. Calculate b(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152320.\nAnswer: 2, 5, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**6)\/(((c*c**(-1\/5))\/c)\/c))\/((c*c\/(c**1\/c))\/c)**(3\/28) assuming c is positive.\nAnswer: c**(1133\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r + 8767 - 8695 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348 - -1601. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4267866 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 0) + 0 + 74 + (79 - 157)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 42 - 198 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000108901296 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 164, 147, 106, 29, -96, -281, -538?\n\"Answer: -2*l**3 - 3*l + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (81593 - 81590 - 7*h**3 - h**3 + 4*h)*(h + 0*h - 2*h) in the form z + l*h**4 + n*h + c*h**3 + w*h**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -1. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 91*w**2 + 45*w - 162. Let j(p) = 3321*p**2 + 1640*p - 5904. Let c(r) = 9*j(r) - 328*n(r). Let k(q) = 87*q**2. What is c(k(s))?\nAnswer: 310329*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -6. Suppose 0 = u*d - 2*d - 12. Solve -d*o - 2 + 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**2 + 3*u**2 + 3*u**2)*(3 - 2 - 2)*(5 - 4 + 6) to the form l*u + m*u**2 + n and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142512543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + 21\/6. Let x = 7 - c. Suppose x*v = 5*v. Solve 3*g - 6 = -v*g - h, -h = 5*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7669 + -7668. Which is smaller: w or -26\/57?\nAnswer: -26\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -43394684 divided by 4\nAnswer: -10848671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**3\/3 + 3*v + 11. Let l(d) be the first derivative of o(d). Let c(p) = 21*p. Give l(c(m)).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4736*n**3\/9 + 2432*n**2\/9 + 328*n\/9 + 4\/9.\nAnswer: 4*(4*n + 1)**2*(74*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 3, y: 4}. Give prob of sequence zyzy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 12*l - 10. Let v(o) be the second derivative of o**5\/20 + o**4\/12 - 5*o**3\/6 + o**2\/2 + 7*o. Let n be v(l). Put 5\/2, n, -0.08 in increasing order.\nAnswer: -0.08, 5\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1193273 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10 = 3*a, 8*a = -54*u + 27*u + 40*u + 105 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 - 9*h**3 + 7*h**3 - 1 + 4386*h**2 - 4645*h**2 to k + b*h**4 + g*h + f*h**3 + y*h**2 and give y.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43, -90, -133, -172, -207?\n\"Answer: 2*o**2 - 53*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 l when three letters picked without replacement from ttlttllttlw?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*o**2 + 102*o**2 - 61*o**2.\nAnswer: -47*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(2736) + sqrt(2736) + sqrt(2736)*-2*1 + (-4 + 1*(sqrt(2736)*3 + sqrt(2736)))**2.\nAnswer: -384*sqrt(19) + 43794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i - 178. Determine a(7).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 6*f + 7*f)*(3 + 2*f - 3) + 92*f - 82*f**2 - 92*f - 2 + 2*f**2 + 0*f + 0*f + (1 + f - 1)*(-2*f + f + 3*f) + f**2 + f**2 + 0*f**2.\nAnswer: -60*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 11) in base 12?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2*29)\/((-206)\/511704*-414)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 5 - (1 - 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 times -30?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2\/3, -10 in descending order.\nAnswer: 3, 1, 2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 6:16 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2654 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**2\/2 - 36*c - 157. What is q(16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116342712972 plus 16?\nAnswer: -116342712956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 2*g - g + (3 - 5 + 3)*(-3*g + 5*g - g) - g + 2*g + g - 44*g - 5 - 7 + 9 + 0.\nAnswer: -40*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4562 - -4561.87. Sort o, -0.8, -6 in descending order.\nAnswer: o, -0.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 7. Let s(g) = 3 + 1503*g - 1507*g - 9. Let b(h) = -5*j(h) + 4*s(h). Determine b(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 - 15 + 14*i**2 + 15.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, t: 4, q: 2}. What is prob of picking 2 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 - -73) + -9 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*a**2 - 231*a + 231*a - a + 0*a**2 + 5*a**2 + 2*a**2 + 2*a**2 + 4*a**2 - 3*a**2 + (0 + 0 + 2*a)*(0*a + 0*a - 2*a).\nAnswer: 22*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10000100111011?\nAnswer: 10000101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951 divided by -3?\nAnswer: -1951\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {p: 1, k: 2, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4301955413.\nAnswer: 7, 3853, 159503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 22*s - 6. Let j(b) = -528*b + 143. Give 6*j(h) + 143*p(h).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 178.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000248704 rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 2. Let y be z(2). Solve 3*m + y = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1672, -0.15, -0.06, -4\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/67 (b) -0.19 (c) 4\/15 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 68 and -16118208.\nAnswer: -16118140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 29 + p - 54.\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**3 + m**2 - 7. What is the second derivative of j(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 4:32 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Suppose -o*l = y + 24, -2*l + y - 12 = -0*y. Let i = l + -7. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5652315953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(sqrt(65) + -5*sqrt(65)*2 - sqrt(65)))\/((sqrt(550)\/(sqrt(11) + sqrt(11) + sqrt(66)\/sqrt(6) + sqrt(11)))\/sqrt(10)).\nAnswer: -1000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -0.36.\nAnswer: -12.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -28*f + 31*f - 19, 6 = o + 2*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2772355828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(sqrt(128) + 1 + 5)*3 + (sqrt(128) - (sqrt(128) + -4 + 1 + sqrt(128)) - sqrt(128) - (sqrt(128)*-1 + 4))*-3)**2*3.\nAnswer: 73440*sqrt(2) + 117612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6\/11)*v**(3\/10)*(v**(-1\/4))**(1\/20) assuming v is positive.\nAnswer: v**(-227\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - m + 75, 3*m = 5*f + 5*m + 396. Let v = f - -130. Let p = v - 44. Calculate the greatest common factor of 32 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2312, 2311, 2310, 2309, 2308?\nAnswer: 2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 328305 = -139*u. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145016863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1389, 3, 63053 in descending order.\nAnswer: 63053, 3, -1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -408*k**3 + 1369340*k**2 + 1141400*k = 0?\nAnswer: -5\/6, 0, 57070\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 64*l + 13*l + 56*l as i + s*l and give i.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1. Let r(o) = 2*o + 3. Let c(a) = r(a) + 3*w(a). Calculate the remainder when 38 is divided by c(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 632*r**2 + 619*r**2 + 85*r**2 + r + 842*r**2 to s + c*r**2 + y*r and give c.\nAnswer: 2178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**2 - 28875487*n - 36726949 wrt n.\nAnswer: -4*n - 28875487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -5, 2 in ascending order.\nAnswer: -5, -3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -10 + 9 - (5 - (-1 + 13 - 9))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, a: 1, x: 2, r: 2, z: 1}. What is prob of sequence aq?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 + 3*a - 1. Determine l(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1457, -2901, -4335, -5759, -7173?\n\"Answer: 5*f**2 - 1459*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*q - 8 - 541*q + 149*q.\nAnswer: -26*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/21077168 and 111\/21077168.\nAnswer: 21077168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33432*y**3 + 38510*y**3 - 29033*y**3.\nAnswer: 42909*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*i - 8*i - 32, -3*i - 35 = 5*f. Let r be (-64)\/(-40) - f\/10. Solve -g - 5*l - 9 = 0, 5*g - r*g + 7 = -5*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3131*j. Let l(h) = 1406*h - 284 + 284 - 1408*h. Give g(l(k)).\nAnswer: 6262*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 2\/31, 0.3, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7427487 is divided by 3713699?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15021007?\nAnswer: 15021007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115808136 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-430)\/(-129)*(-9)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/4800*10)\/(3\/976)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -25 (b) 66 (c) -2 (d) 40 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**5 + 3*y**5 - 2*y**5 + (-2*y + 4*y + 3*y)*(62*y**3 - y**4 - 62*y**3).\nAnswer: -12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3)\/36)*(-102)\/(-42). Let l = 1146\/35 - q. Is l bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from swswqvwwqdvddqdgsdwd.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 13*q + 43)*(12*q**4 + 2*q**4 - q**4).\nAnswer: -169*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 6, u: 3, e: 6}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1062170 (base 8) to base 12.\nAnswer: 11a708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3017 - -3011)*82\/12.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 57922 and 54908 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, -2, 1917 in ascending order.\nAnswer: -2, 4, 26, 1917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 180287 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -22.011. Let l = 69.011 + o. Let x = l - 69.00026. What is x rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**19\/y)**(1\/8)\/(y**2)**(-5\/8) assuming y is positive.\nAnswer: y**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2349*r**2 - 453*r**2 - 390*r**2 in the form f*r + p*r**2 + j and give p.\nAnswer: -3192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 12) to base 3.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 9. Let j(h) = h + 4. Suppose -12 = -3*v, -15*g + 12*g = 5*v - 62. Let x(f) = -4 - 2 + f + 1. Let m be x(g). Determine m*j(t) - 4*o(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a + a**2 + 0*a**3 + 0*a**4 + 3 - 3\/5*a**5. What is the second derivative of l(k) wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 8814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18838 - -34863. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 3 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 6069?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.01 - 0.01. Let q = u - -32. Let l = -36.00095 + q. What is l rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3961274 is divided by 1346?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + sqrt(112) + sqrt(112) + -2)*-4.\nAnswer: -32*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 105*v + 27918 = -19*v - 446*v for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 13*v**2 + 15 - 9.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33374200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/(-8) - -5*6\/(-24). Which is greater: g or -52?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62581320 to the nearest integer?\nAnswer: 7911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suz when three letters picked without replacement from eemesmzumemmae.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10844199*a**2 + 5495263.\nAnswer: 21688398*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 - 14*v**3 - 35228*v**2 + 3195592*v?\nAnswer: -12*v**2 - 84*v - 70456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 - -2) - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 7. Let p be f(-3). Suppose p*i + 285 = 7*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60726 * 90.\nAnswer: -5465340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 427 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 3, a: 1, r: 2, i: 2, o: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 122 - 369 + 9*r + 117 + 130. Let w(g) = -4*g - 6. What is s(w(v))?\nAnswer: -36*v - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 185353242 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, -11, 1.\nAnswer: -11, 1, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (659*k**2 - 1857*k**2 + 938*k**2)*(99 + 80 - 100).\nAnswer: -20540*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) 23\/7 (c) -4 (d) -1\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5 + 63\/5880*92?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = -2*l, -36*u - 7 = -3*l - 40*u. Is l at least 1\/3955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/5 - 8740*q + 87384\/5.\nAnswer: 4*(q - 10923)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 28 = 4*t, 10 = 4*n - 2*n. Find the third derivative of 2*g**4 - g**2 - 3*g**t + 0*g**4 - 4*g**4 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277454.\nAnswer: 2, 138727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 742*z**2 - 31*z - 696. Let j(g) = -149*g**2 + 6*g + 139. Let q(c) = -11*j(c) - 2*o(c). What is the second derivative of q(w) wrt w?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-5\/6)*b*b)**12\/(b**(2\/15)*b**(4\/19)\/b*b) assuming b is positive.\nAnswer: b**(10732\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -307, -704, -1271, -2014, -2939, -4052?\nAnswer: -5359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41103280?\nAnswer: 2, 5, 17, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000898413 rounded to 7 decimal places?\nAnswer: -0.0000898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76466 decades in years?\nAnswer: 17.6466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/63 or 0?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 25e6c1?\nAnswer: -25e6be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -464071866.9 rounded to the nearest 1000000?\nAnswer: -464000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29443437*c*m - 8300612*m wrt c?\nAnswer: 29443437*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - 0.23. Let p be (-6)\/(-20)*216\/(-162). Let b = -16.2 - -14.2. What is the nearest to 2 in m, p, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2758 and 5068.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**2 - 2*t - 10. Differentiate k(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74176 or -74173?\nAnswer: -74173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (9 + (64 - 71) + 17 + -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 1 v when three letters picked without replacement from {e: 5, v: 3, b: 3, l: 9}?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.9 - 0.9. What is the nearest to -0.1 in -0.4, 0.3, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*k - 0*k - 4*j, -4*k + 1703 - 1723 = -7*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4*w**2 - w - 6. Let m be s(-4). Sort 13, 1, m.\nAnswer: m, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 11*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w = -5*o - 37*w + 13434, -5*w + 10742 = 4*o. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*l**5 + 2*l**4 + 51*l**3 - 3*l**2 + 24*l + 19438.\nAnswer: 380*l**3 + 24*l**2 + 306*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**2 + 145*a + 144. Let s be k(-1). Solve 30*y = -3*g + 34*y + 9, -s = -2*g + 2*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 148?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3823\/8 or -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = 27 - 97 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.05 + -0.25. Let k = x + 1.2. Let c = -5.00012 + k. What is c rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1136380 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + h**2 + 10*h**2 + h**2 + 0*h**2 + (-2 + 2*h**2 + 2)*(1 - 5 - 4))*(3 - 2 - 3) as w + j*h**2 + k*h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-17\/4)))\/j**(-4\/11) assuming j is positive.\nAnswer: j**(-171\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 4*d - 62, -6900*q - 466 = -6867*q + 2*d for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 510\/35 + (-12)\/21. What is the units digit of (-4)\/b - (-207)\/63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2. Let h = -7 + 8. Let l be i(h). Is 1*l*(-10)\/2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 8 in decreasing order.\nAnswer: 8, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13506027530 rounded to the nearest one million?\nAnswer: -13506000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**2*m - 2*h**2 + 4*h*l + 78*h - 1506*l*m + 80*m wrt h.\nAnswer: -2*h*m - 4*h + 4*l + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 + 10181350*q - 5182994391125 = 0 for q.\nAnswer: 1018135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10972*i**3 + 12571*i**2.\nAnswer: -65832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + y = 7, 2*f - 14 = -3*y - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -247*y**2 - 246?\nAnswer: -494*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 1. Let o be y(1). Let u = o - -27. Is 58\/((-3)\/(u\/(-6))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303201131311 - -101?\nAnswer: 303201132012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let v(m) = -12*m - 10. Let x(l) = 6*n(l) + v(l). Let o be x(5). Let d = -37 - o. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2*y**4 + s**2 + 323*s*y**2 wrt y.\nAnswer: -4*s**2*y**3 + 646*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**6*m*m)**(-1\/5)*(m*m**(7\/4)*m)\/(m**(4\/5)*m))**(3\/4) assuming m is positive.\nAnswer: m**(-3\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5248 - 5247.99997964. What is q rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v**2 - 6111605*v - 1527900 = 0. Calculate v.\nAnswer: -305580, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**42*h))**(-2\/45)*h**(-2\/21)\/h**(-1\/2))**(-18) assuming h is positive.\nAnswer: h**(-1431\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -j - 4, 3*h - 2*j = -4*j - 8. Let w(k) be the second derivative of 0*k**2 + h - 1\/3*k**3 - 10*k. Let b(z) = -26*z. Determine b(w(f)).\nAnswer: 52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*w**3 + 57*j*w**2 + 145*j*w + 2*j + 260*w**3 + 30*w**2 - 15*w + 8 wrt w?\nAnswer: -12*j*w + 114*j + 1560*w + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3*r - 2*r)*(2 + 3 - 2 - 3 + 1 + 1 - 2 + 5 - 2 - 3 + 3 + 1 - 2 + 1 + 0 - 2 + 1 + 3 + (1 - 2 + 2)*(-1 + 1 - 2) - 4 + 2 + 0 + 1 - 1 - 1 - 6 + 2 + 2).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143150.\nAnswer: 2, 5, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1834)\/42)\/((-2)\/24)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -15. Solve 2*m - 2*z + 4 = 0, m + 6 = -0*z - b*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*w - 158*w + 6*w**3 + 453*w - 48*w**2 - 132*w + 2862 wrt w.\nAnswer: 18*w**2 - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**4\/4 - i**3\/3 + 3*i**2\/2 - i - 6. Determine l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 - 92. Let o = 125.4 - h. What is the third biggest value in 0, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -40.303.\nAnswer: -4.43333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:22 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*s = -11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b + 4*g = -10, -4*g - 4 = -4*b. Let t(z) = 10*z - 1. Let y(x) = -7*x + 1. Let j(k) = 5*t(k) + 7*y(k). Calculate j(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - 4*v + 4*v)*(-4*v**3 - 4*v**3 + 12*v**3 + 1) to the form d*v**2 + k*v + b*v**3 + c + z*v**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*n = 8504000, -16*n = g - 14*n + 2126000. What is g rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 at least as big as 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*v - 4*c, -32*v - 22 = -30*v + 4*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4745.582 microseconds in milliseconds?\nAnswer: 4.745582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 12, 5*v = a + 4*v - 4955. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeecpcccecccec. What is prob of picking 1 e and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 4*z**2 + 1 + 1 - 2*z. Let o be j(1). Let a be (-2 - 0)\/(8 - o). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10535 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 - 20875*f + 146370 = 0 for f.\nAnswer: -4182, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-8))\/(5 - 0)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2 + 60*g**3 - 30 - 82*g**3 - 2*g**2 + 11 + 501*g**3 wrt g?\nAnswer: 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287183358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -692 + 692. Factor n*q + 0*q**2 + 4\/7*q**3 + 6\/7*q**4 + 2\/7*q**5 + 0.\nAnswer: 2*q**3*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 15, 4*p - 10 = -5*m + 6*m. What is the derivative of 157*j**m - 138*j**2 + 154*j**2 - 61 + 3*j - 3*j wrt j?\nAnswer: 346*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 134371421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -785 in 5, 2.2, -749?\nAnswer: -749","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, p: 2}. What is prob of sequence uup?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 395452 divided by -436?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -301 + -1?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 1\/4 (b) 2\/17 (c) -252.653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o**2 - 4*o - 3. Let t be p(-2). Let a(m) = 44*m**2 - m + 1. Let x be a(t). Suppose -x = -2*k + k. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujus when four letters picked without replacement from ussssssussjuusussuj?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/2 + 633*q**2 + 1234501*q\/2 + 3070365 = 0.\nAnswer: -642, -5, 1913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776 - 157 + 933 + 107*k.\nAnswer: 107*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 0.4, 0.1, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2427766 and 374.\nAnswer: 41272022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m - 59. Let r be k(11). Suppose -2*c = -f + 34, r*f - 26*f + 2*c = 78. Calculate the least common multiple of f and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*w, -l + 4*w + 61 - 5 = 0. Solve -l = -20*c + 10*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1 - 2*d**2 + 0*d + d**3 + 5 - 5*d. Let m be o(4). Let g(v) = -v**2 - 6*v - 2. Let x be g(-4). Solve 3*b + m - x = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.23, -0.2, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1258 and 52762?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -328 + 333. Sort y, 4, 0, 3 in ascending order.\nAnswer: 0, 3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4680 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 226*a**2 - 18 + 224*a**2 - 453*a**2 + 274*a - 274*a as m*a + g + b*a**2 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v. Suppose -2*i - h = 2*h - 19, 5*i + 4*h - 30 = v. Factor 0*w + 2\/5*w**3 + 0*w**i + 0.\nAnswer: 2*w**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 223 = -27. Suppose 18*v = k*v - 270. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219 by 1.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4*f + 7. Let z be l(-2). Suppose 0 = z*k - 10*k + 140. Calculate the highest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -2. Let t = -121.1 - -121. Which is the nearest to t? (a) -3\/5 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**5\/20 + 7*n**4\/12 - 2*n**3\/3 - n**2 + 2*n. List the prime factors of p(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**3\/3 - 6*j**2 + 10. Let b(z) = 3*z + 18. Let t(d) = 5*d + 27. Let h(x) = 3*b(x) - 2*t(x). What is o(h(n))?\nAnswer: -n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -266*209\/(-27797)*46\/20?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38e - 34?\nAnswer: -3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198558?\nAnswer: 2, 3, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 123.\nAnswer: -5\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7260999?\nAnswer: 3, 2420333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.090049 - -19083.\nAnswer: 19083.090049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179238 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*o + 4, 19 = -3*r + 4*o. Let x be ((-120)\/70)\/((-2)\/168). Calculate the common denominator of x\/(-15) - (3 + r) and 51\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:16 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2514 and 19\/6?\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q\/(q**(1\/3)*q)*q)**(-50)*(q\/((q\/(q**1\/q*q))\/q))**38\/(((q*q**(1\/5))\/q*q)\/(q*q**(-3))) assuming q is positive.\nAnswer: q**(-4658\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (62 + -69) - (9 - -2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.9435801 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 4. Let q(z) = z + 8. Let n be q(0). Suppose n*c = 3*c. What is t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 + 3132*i**5 - 4*i**3 - 9*i**2 + 79*i - 10 wrt i.\nAnswer: -240*i**3 + 187920*i**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r + 46*r - 16*r - 8*r - 17*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + sqrt(228) + -5*(sqrt(228) - sqrt(228)*-2))\/(sqrt(144)\/(-1*sqrt(12))) + (-6*(sqrt(190) - -2*sqrt(190)) - sqrt(190))\/(sqrt(40)*-3) + 3.\nAnswer: 3 + 97*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/5)\/r)**(-5\/9))**(13\/5) assuming r is positive.\nAnswer: r**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 - o**2 + o - 2. Let u(g) = 11*g + 82. Let y be u(-7). Let l be (-4)\/(-12) - y\/(-3). Calculate a(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*a = 93*a + 245. Let o = 51 - a. Suppose 0 = u + u + q - 137, 0 = -u - o*q + 70. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 42. Let t be c(-10). Solve 4*u - t = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -194*w - 2. Let q(o) = 398*o + 4. Determine 7*j(n) + 3*q(n).\nAnswer: -164*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9428 is divided by 205?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 99712.2 micrograms?\nAnswer: 0.0997122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 391*b**5 + 224*b wrt b?\nAnswer: 7820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -5 (c) 1\/573\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6562080 by 2790.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = t + 2*t. What is the smallest common multiple of 4 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 43. Suppose i*f - 3416 = -0*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 2*i**2 + 4. Let z be b(3). Let n(l) = l**3 + 4*l**2 - 5*l + 4. Calculate the remainder when n(z) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96697879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b + 1)*(-5 - 1 + 4)*(-b**2 + 3*b**2 - 4*b**2)*((b - 3*b - b)*(0 + 2*b + 0) - 105 + 5*b**2 + 105).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72888 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k = 225. Suppose 5*b - 4970 = -10*u, -5*b = -u + 474 - 32. Calculate the remainder when u is divided by k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:20 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 divided by 127711?\nAnswer: -413\/127711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ply when three letters picked without replacement from {w: 1, p: 2, l: 1, g: 2, y: 6, c: 5}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-19)*v)**(-18) assuming v is positive.\nAnswer: v**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (30 - 17) + -6 + -4 - -81) + 15?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.13 rounded to the nearest ten?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -693 - -699. Suppose h - 5045 = -5*q + y*h, -5*q + 3*h + 5045 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 68\/3*t**3 - 85*t + 17*t**2 + 0. Differentiate d(q) wrt q.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62205514 - 20?\nAnswer: -62205534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:02 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109711 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 2584*n - 633654.\nAnswer: -2*(n + 329)*(n + 963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 21*s + 5. Is c(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*j - 48*j - 4*j - 72*j - 160*j in the form l + h*j and give h.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100001010?\nAnswer: 1100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + ((-72)\/(-2))\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35499, 141898, 319231, 567498?\nAnswer: 886699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1200 and 29\/40?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -404 + 403.9. Suppose 0 = -p - 26 + 37. Which is the third smallest value? (a) n (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6995415 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6665*x**5 - 25*x**4 + 293831*x.\nAnswer: -133300*x**3 - 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100*h*r**3 - 2*h*r**2 + 3*h*r*w + h + 12*r**3*w + 1593*r*w**2 + 2*r - 2955 wrt w.\nAnswer: 3*h*r + 12*r**3 + 3186*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 6*d = -9. Suppose m + 0*m + 4*z + 16 = 0, 0 = -m + z + d. Let c(x) = -21*x - 1. Let i be c(-1). Solve m*w + 0*w = i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*k = -18, 4*k - 10 = -o - 1. Let h be (-1)\/o - (-11)\/(220\/16). Which is the closest to 0.3? (a) 1\/10 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 10*l = -6. Let o(z) = -z**3 - 6*z**2 - z - 11. Let n(k) = -1. Let q(g) = l*o(g) + 4*n(g). Calculate q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(7\/5)*2)\/((-374)\/(-357))?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*t - 140 = -124*t. Let q be (-1)\/t + 5\/12. Let m = -3 + 3.05. Which is the biggest value? (a) m (b) -1\/8 (c) 1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 - 187. Suppose 8 = -4*k - r*k - 5*o, -22 = -k + 5*o. Sort 0, k, 3, 5.\nAnswer: 0, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -5 (b) -195 (c) 0.07 (d) -0.06 (e) 13 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19340 + 19338.69. Which is the nearest to -1? (a) w (b) 5 (c) -3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 297 - 294. Let y(x) = 3*x + 3 + 0 + 14 + m. Calculate y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-4)*x*x\/x**13)\/(x*x\/(x*x**(-26))*(x\/(x**(2\/13)*x*x))\/x))**8 assuming x is positive.\nAnswer: x**(-3936\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 23817450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(-1*(-12)\/8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/329706 and 59\/219804.\nAnswer: 659412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -859, 3, -17, -5040 in increasing order.\nAnswer: -5040, -859, -17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p + 5*j, -4*p = -p + j - 9. Suppose 11*c - 16 = 7*c. Suppose -c*r = -r - v + 3, -4*r - 5*v = -15. Is p bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {x: 5, v: 11}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:03 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -230 - 12546602?\nAnswer: -12550132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11.42212 (b) 1\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3\/3)*528\/3344.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1363*n = 628*n + 7468 + 2487 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from yswsikjyi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1507572259490 and -0.14.\nAnswer: 1507572259489.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*f - 647 - 132 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((-4*sqrt(153)*-1)**2 - (-4 + sqrt(17) + -4 + sqrt(1088))))*-6.\nAnswer: -162*sqrt(17) + 44280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4694\/3 - -1549. What is the common denominator of -29\/38 and u?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54068374.\nAnswer: 2, 53, 510079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13674*u**2 + 1216*u + 8 wrt u?\nAnswer: -27348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*k = -0*j - 11763, -j + 2*k + 3915 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 16*p - 22. Let i be y(9). Let b = -47 + i. Let v = 224\/3 - b. Put -2, -4, -14, v in descending order.\nAnswer: v, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 11) in base 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15126277.\nAnswer: 17, 97, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let b(k) = -29669527*k. What is b(r(f))?\nAnswer: 59339054*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 225 or 903\/4?\nAnswer: 903\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14780 + 103456\/7. Put g, -384, 1, 0.2 in descending order.\nAnswer: 1, 0.2, g, -384","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 732 and 62?\nAnswer: 22692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149447734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 - 1 = -2*w, 2*w + 4*u + 4 = 0. Let x be w - (-1 - (-3 + 4)). Find the first derivative of x*a**2 - 4 + 2*a**3 - 8*a**3 + 0*a**2 wrt a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/16)\/(1344\/(-384))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1240 + 18322?\nAnswer: 20562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -5, -16, 5\/1841, -4 in ascending order.\nAnswer: -16, -5, -4, -1\/6, 5\/1841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 - 1. Let f(u) = 3*u**2 + 1. Suppose 3*t - 1 = 17. Let v(a) = t*f(a) + 5*y(a). Let b(g) = 2*g**2 - g - 2. Determine -2*b(o) - 3*v(o).\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 173955\nAnswer: -1\/173955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201986, 201966, 201948, 201932, 201918, 201906?\nAnswer: 201896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmraxrxpxmxarrrx. What is prob of sequence xm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - v**2 - 5*v - 1. Suppose -2008*q = -2017*q + 27. Is 7 a factor of m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4ab (base 13) to base 8\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 2 - 19 - 42*t + 16 + 15 as r*t + z and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 3*r + 6. Let t be z(4). Let q(p) = -4*p + 54. Let o be q(10). Calculate the greatest common divisor of t and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(243) + sqrt(243)*2)**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 194*n**3 + 196*n**2.\nAnswer: -2*n**2*(n - 1)*(n + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -161449*t. Let o(z) = -115*z**2 - z. Determine q(o(k)).\nAnswer: 18566635*k**2 + 161449*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((30\/(-10))\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 5, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*4.8.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 - 2*q - 12. Calculate b(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116250395, 116250398, 116250401, 116250404, 116250407?\nAnswer: 116250410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -25. Let m(v) = -5*v**3 - 2*v - 1. What is m(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 142*k + 1003. Determine t(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/7 and (4\/(-30))\/((-6)\/930).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 3 (c) 0.01 (d) -0.03 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 100 - 207 - 151)*(4*j**4 - 5*j**2 + 1 + 5*j**2) in the form b*j**3 + k*j**2 + d*j + c + q*j**4 and give c.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.32. Let f be (-1)\/(-1) - 16\/(3 + -1). Let s(z) = z + 7. Let r be s(f). Which is greater: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c + 219. What is the remainder when c is divided by ((-414)\/(-690))\/((-6)\/(-250))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-27)*-1)\/((-1)\/(-34))*-1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.02 (b) -3 (c) -98\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(5\/6)\/p**(7\/2) assuming p is positive.\nAnswer: p**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 36. Give h(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 14 + 82 = j, 6 = 2*j. Suppose 2*c + 46 = 5*v, 2*v + 140 = -4*c - 0*v. Let k = y - c. What is the smallest common multiple of k and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -131*r + 1779. Give z(21).\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1158 and 12?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101741 divided by 417\nAnswer: 101741\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 2*t + 0 + 1\/4*t**2 + 1\/24*t**4 - 1\/6*t**3. What is g in p(g) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 58. Sort o, 1, 2, -2 in increasing order.\nAnswer: -2, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212 - -1148. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 78*a**3 - a**2 - 7*a + 12. Let s be p(2). Let f = -606 + s. Solve 4*n - 11 - 1 = -3*r, 0 = 5*r + 4*n - f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1406, 1407, 1408?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -6 + -14 + (-10 - -30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 184*l**3 + l**2 + l - 2. Let w be (-1)\/((-2)\/(-6)*(-5)\/5). Suppose -3*k = w*r - 6*r - 18, -r - 5 = 0. What are the prime factors of z(k)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7048, 7050, 7052, 7054, 7056?\n\"Answer: 2*x + 7046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*m + 2\/7*m**2 + 0.\nAnswer: 2*m*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -0*a - 56. Let z(m) = 19*m + 12 - 21 + a*m - 2. What are the prime factors of z(4)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g = -5*s + 248, -20 - 60 = -3*s + 2*g for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o + 2*r = 105*o + 8, 4*r = 5*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5924*l + 5877*l + 799 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1059 + 127*h**2 - 253*h**2 + 3*h**3 - 902 + 126*h**2.\nAnswer: 3*h**3 - 1961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 - 120\/50. Which is the third biggest value? (a) -2 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c - -3?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4016 and -151\/79824?\nAnswer: 20035824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -13 = -154\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(2*(sqrt(1452) - -2*sqrt(1452)) - (sqrt(1452) - (sqrt(1452) + 0 + 5 - sqrt(1452)))) + (2*(0 + sqrt(1452)) + sqrt(1452)*1 + -2)*3)**2.\nAnswer: 7392*sqrt(3) + 836401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 4)\/((-117)\/26*102\/9).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.75 and -907.\nAnswer: -680.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 235*f**8\/168 + 1031*f**5\/60 - 51*f**2 + 6. Find the third derivative of w(n) wrt n.\nAnswer: 28200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 3:22 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 11. What is a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -92. Is (o - -1) + (4 - 4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -70. Suppose -l + 2*p - 1 = 0, -4*l - 6*p + u*p = -20. Solve -4 = l*x + w, x - 8 = -5*w + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 4:16 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 + 139. Suppose -3*o = -5*o - 4*u + 90599988, -90600006 = -2*o + y*u. What is o rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c**2. Let r(f) = 13919*f. Give r(s(u)).\nAnswer: -153109*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 11. Suppose -6*o = -4*o - 16. What is r(o)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 4:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/60 - b**5\/4 - b**4\/24 + 2*b**2 + 160*b + 7. Suppose 5*v - 30 = 10. What is the tens digit of a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 32*g**2 + 62*g - 59. Let l be u(30). Is l at least as big as -2\/1453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -9*(-30)\/6. Calculate the greatest common factor of n and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:34 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3894, -3903, -3912, -3921, -3930, -3939?\nAnswer: -3948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -217*j**3 - 28*j**2 - 476*j + 28. Let h(i) = -24*i**3 - 3*i**2 - 53*i + 3. Let a(p) = 28*h(p) - 3*v(p). What is the second derivative of a(u) wrt u?\nAnswer: -126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 2.1. Suppose 3*o - 102 = -2*o - 3*h, -o + 2 = -4*h. Let p be (0 - o\/15) + 0. What is the second biggest value in p, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 3:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 73. Let h be (12 - o) + -2*1. Let r = -51 + h. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 4*k + 83. Let y be r(11). Let c be y - (-14)\/(-21)*12\/8. Solve -5*u - c*g = 5, -16 = 5*u - 4*g + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2458 and 12.\nAnswer: 14748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8\/5)\/k)\/k**(-2\/7) assuming k is positive.\nAnswer: k**(-81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*z - 11. Let l = 86 + z. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269 = 27*j + 80 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 14.9. Is 0 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.78684248 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3\/80 (c) -0.026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182610703 rounded to the nearest 100000?\nAnswer: 182600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473429 is divided by 118332?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -2621?\nAnswer: -2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 14 = 4*l, 45*r - 1 = 50*r + 2*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 139\/3 + (-1096)\/822. Let b(g) = -243*g + 45. Let w(u) = 11*u - 2. What is n*w(j) + 2*b(j)?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/59486 or -1?\nAnswer: -3\/59486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 11 + ((-36)\/(-10) - (-10)\/25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5868518569?\nAnswer: 83, 239, 295837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 11 - 1. Let u = t - -42. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410 - -4120053?\nAnswer: 4120503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 - 2552*w**3 + 149956*w**2 - 559248*w = 0. Calculate w.\nAnswer: 0, 4, 61, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 4\/2 + -1. Let y(r) = 3 - 4 - 6 + 10*r**2 + 3*r. Let o(g) = -3*g**2 - g + 2. What is j*o(b) + 2*y(b)?\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:50 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -1\/3 in descending order.\nAnswer: 3, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2208 and -73\/240.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.906 + 0.014. Let k = a - 0.92. What is the nearest to 2 in 5, 0.3, k, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1746 + -1742. Let g = 2 + 2. Calculate the greatest common divisor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843287790.\nAnswer: 2, 3, 5, 61, 460813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a**3 - 11*a**2 - 3*a + 3. Is o(-3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2943 - -2943.5. What is the second biggest value in -15.5, j, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -700100.1 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + 5*z**2 - 4*z**2 - z**2 - 3*z - 2 + z**3. Determine o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70533.91ug to milligrams.\nAnswer: 70.53391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.01 - -0.01. Let p be -8*(15\/(-6) - -2). Suppose 5*g = -r - p, r = -3*g - 3*r - 16. Which is the third smallest value? (a) -1 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 208269 to the nearest one thousand.\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 19350\/4267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-3))\/15*-17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) 1\/4 (c) 1 (d) 0.5 (e) -0.3 (f) 0.0594 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.016*2\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 44. Let s be u(24). Suppose -30*k + 97838 = -s*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.97 and -47.\nAnswer: -327.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 6*p**2 + 3*p - 6. Let h be d(-5). Suppose 0 = -2*c, -5*n + 5 = h*c - 15. Let r(g) = -g + 5. Give r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 13*j. Let i(s) = 42594606*s**2. Give u(i(l)).\nAnswer: 553729878*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -655 - 53?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = h - 2*a + 52, 5*a = -5*h + 10. Suppose -3*w - 2*z = -2, h*w - 3*z + 4 = -8*z. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-4) + 2 + 2\/4. Let q be f\/((48\/4)\/(-3)). Let i(h) = -h**3 + h**2 - h - 4. Give i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134182522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 1\/6898?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/14 - (-9 - -8) - 1. Which is the closest to 1? (a) 4 (b) -4\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.69 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, 2, -2 in descending order.\nAnswer: 164, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -2.497. Let a = -8.097 - -8.1. Let v = q + a. Is 0.4 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -0.2, -0.03, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271\/45 + 29\/5. Let b = 0.1 + -0.1. Let t be (-2 + 0 + 1)\/7. What is the closest to b in t, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 7. Let q(h) be the first derivative of -h**2\/2 - 8*h + 767. Determine 6*c(j) + 5*q(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -4 (c) 1\/3 (d) 0.3 (e) 1 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 3, 9, -27, 5, -4 in decreasing order.\nAnswer: 9, 5, 3, -4, -27, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 8*o**7\/735 + 2*o**6\/105 + o**5\/105 + 18*o**2. Determine z so that c(z) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110001001110000 (base 2) in base 10?\nAnswer: -287344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 2779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.4. Let d = -0.3 + o. Sort d, 2\/5, 2 in descending order.\nAnswer: 2, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -1138\nAnswer: -7966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) -150\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067278 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -548, -1090, -1618, -2126, -2608, -3058, -3470, -3838?\n\"Answer: p**3 + p**2 - 552*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9068)\/8*6\/(-3). Let b = -197227\/87 + c. Suppose 0 = 5*u - 208 + 213. Is b at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {i: 5, f: 10, p: 4}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 15*c**2 - c + 2. Let o be n(-1). What is the highest common factor of o and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75390, -16, 5\/6, 6.\nAnswer: -16, 5\/6, 6, 75390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*n = -240, 5*q + 240 = -0*q + 5*n. Let u(o) = o**2 + 6*o + 26. Let w be u(-7). Let i = q + w. Is i != -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.80374 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*q + 445*q - 2*q + 1233*q as u*q + k and give u.\nAnswer: 1653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y**3 + 5*y**2 - 5*y + 3. Let m(i) = -104*i**3 - 32*i**2 + 32*i - 20. Let z(g) = -5*m(g) - 32*q(g). What is the first derivative of z(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/2)\/(4\/(-8)). Let n = 82 + -75. What is the smallest common multiple of (-3)\/c*154\/21 and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2054\/5 - -368. Let q be (-6)\/39 + 557\/(-13). Let d = q - r. Put 2, -2, -1\/4, d in descending order.\nAnswer: 2, d, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**5)\/y*y*y\/((y\/(((y**(-3)\/y)\/y)\/y))\/y))\/(y**(7\/2)*y**(-22)\/y) assuming y is positive.\nAnswer: y**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 3. Let i(r) = -r**2 + 10*r + 1. Let p(k) = 6*k**2 - 71*k - 5. Let s(a) = 7*i(a) + p(a). Let w(d) = d. Let o be w(3). Determine o*b(h) - 4*s(h).\nAnswer: 4*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.86 - -2.66. Suppose 0 = -3*t - 4*s - 0 + 4, 0 = 2*t + 4*s. Suppose -l + t*j + 6 = -j, 2 = -j. Sort 2\/7, l, k in decreasing order.\nAnswer: 2\/7, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 5*l - 5*l + 7*l**3)*(5*l - 3*l - 6*l + l**2).\nAnswer: 7*l**5 - 27*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 31 = -3*u - 46, 2*l - 5*u - 25 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227798491 to the power of 1\/3, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860\/85 - 42\/357.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(((k*(k*k**(-1))\/k)\/k)\/k)*k)**(4\/15)\/(k**7*k**7) assuming k is positive.\nAnswer: k**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(7\/(-3) + 3). Suppose -5*p - k*h = -261, h + 108 = 2*p - 0*h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003537823 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 126\/54 + (-1)\/3. Suppose -m + z*m = -5*i + 343, -5*m - 121 = -2*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000100101110 (base 2) to base 14.\nAnswer: d78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4901899 divided by 1.\nAnswer: 4901899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/33 and ((-3)\/(282\/100))\/(-4 - -128 - 13)?\nAnswer: 57387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*a + 7. Suppose 3*i + 2*c = c + 985, -662 = -2*i + 2*c. Let s = i - a. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -4. Let q be (-2)\/(-6) + 16*2\/12. Find the third derivative of -q*m**5 + 2*m**s - 3*m**2 + 7*m**2 wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - -0.1. Let x = d - 1.3. Let k = 4.08 + -0.08. Which is the nearest to 2\/3? (a) 3\/2 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007225 (base 9) in base 10?\nAnswer: 536729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 532 - 524. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 9*q**2 - 9)*(2*q**3 - q**3 - 3*q**3) + (-q + q - 2*q**3)*(q**2 - 4*q**2 - 2*q**2).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b. Let h be 1 + (2 - b\/1). Let f(m) = 5*m**3 - 3*m**2 - 2*m + 4. Let q(y) = -4*y**3 + 2*y**2 + y - 3. Determine h*f(t) + 4*q(t).\nAnswer: -t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-1 + 9\/6). Let d(p) be the second derivative of -3*p + 0*p**3 - 1\/6*p**4 + 0 + n*p**2. Factor d(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(252) - sqrt(252)*-2) + 5 - (1 + sqrt(252))*-5) + -2 + sqrt(252)*2 + (sqrt(252) - -1*sqrt(252)) + 5)*-3*-5)**2.\nAnswer: 421200*sqrt(7) + 8202825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(60)\/(sqrt(24)\/sqrt(2))*2*-4 + 5.\nAnswer: -8*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, -3*n + 32 = 8*t - 4*t. Suppose w + i - 6 = 0, 9*i - 7*i - 20 = -4*w. Solve 0 = 2*j + j + c + 1, t*j = w*c - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32187941, 64375883, 96563825, 128751767?\n\"Answer: 32187942*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m - 54. Let b(t) = -2 + 16 - t - 15 + 12. Give 11*b(o) + 2*q(o).\nAnswer: -3*o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50676084 to the nearest integer?\nAnswer: 7119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (1 + sqrt(700))) + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*-2*4)\/sqrt(8))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 473. Suppose -85*s - i = -90*s. Suppose -8 = -t + 2. What is the greatest common factor of t and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 34*a = 15. Let k(w) = 12*w**2 - 6*w - 4. What is the hundreds digit of k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 23\/5 (b) 1\/7 (c) -3 (d) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-13 + (-588)\/(-78)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98406420 and 56580.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 - -5 - (13 - 1813). Suppose g = -b + 5*b. Suppose 16 = 4*y, -2*p - p + b = 4*y. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 544272.\nAnswer: 17960976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/11 - 122*v**2\/11 + 18*v\/11 + 1098\/11 = 0.\nAnswer: -61, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/68557 and 26\/5.\nAnswer: 342785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c + 224 = 4*w, 2*w - c - 112 = 0. Let q(d) = -19*d + 8*d - w*d. Let l(b) = b. Give l(q(s)).\nAnswer: -67*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-10) - 130\/(-260))*-25.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1371\/8 or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 209615 - -3?\nAnswer: 209618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11\/2)\/g)\/((g\/((g\/(g**(-1\/3)\/g))\/g)*g)\/g) assuming g is positive.\nAnswer: g**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 27. Let f = p - -22. Let x = 57\/4 + -14. Which is the closest to -1\/3? (a) 5 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 23*b - 12. Let u be q(12). Suppose 3*x + 7*x - 850 = u. Calculate the highest common factor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6565)\/(-507) - 13)*(2 - 2 - -1). Let t = 0.04 - -0.36. What is the nearest to t in 1\/7, p, 2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14834 or -14835?\nAnswer: -14834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/4*(-2166)\/(-3249)*1\/(-20)*-4.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23636*t**2 + 3343 with respect to t.\nAnswer: -47272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 8*p + 7. Is v(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625113397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42\/5325037 - -281763675221\/958506660. Let t = -2674\/9 + k. Calculate the common denominator of t and (-4)\/(-2) + (-913)\/(-220).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + 5 - sqrt(187)\/(sqrt(44)\/sqrt(4)) - ((sqrt(17) - (0 + sqrt(68)\/sqrt(4))) + -2)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -147\/1987?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 71*t**2 - 41 - 17.\nAnswer: -71*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1066 + 842. Is -224 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:01 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*6\/24)\/(960\/24320).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6635*y = -45183 - 107422 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayayaaaaayaayaaaaaa. What is prob of picking 3 y?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(2 - 2*b - 2)*(-11 + 5 - 6) + 3 - 2*b - 3)*((-2 - 6 + 4)*(38*b + 3295 - 3295) - 2 + 2 + 3*b).\nAnswer: -6854*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4*a - 27 = 0, -3*y - 5*a + 7 + 23 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823818005?\nAnswer: 5, 164763601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 267*s**3 + 6240*s**2 - 32700*s.\nAnswer: -3*s*(s - 10)**2*(s + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w\/(w**(2\/19)\/w))\/w*w)\/(w*w*w*w*w\/(w\/(w*w*w**13\/w*w))*w*w))**(-42) assuming w is positive.\nAnswer: w**(13650\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - 0 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -381*f + 131. Let y be g(-3). What is the greatest common divisor of y and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1) - 2)*1 - -4. Suppose 4*q = -0*q - s*c + 768, 4*c = -4*q + 764. Suppose 0*h - 3*h = -q. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1556.279 to the nearest integer.\nAnswer: -1556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3757777*l. Let j(k) = 2*k**2. Determine z(j(u)).\nAnswer: -7515554*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 2*d - 12. What is the units digit of z(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4078275881?\nAnswer: 19, 113, 1899523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 202*i*n**2 + 95108*i - 23840747*n**2 - 3 wrt i?\nAnswer: 202*n**2 + 95108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -1135. What are the prime factors of i?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1218 (base 9) in base 2?\nAnswer: -1110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/9 + 2*-1. Let v = -1647\/2 - -31289\/38. Which is the second biggest value? (a) x (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:28 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7017\/355850 - -2\/7117. Let a = -224 + 1136\/5. Calculate the common denominator of b and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 4. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*6\/(-21) - (-1696)\/(-56). Let h be v*(44\/(-8) + 3)*-100. Round h to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 66\nAnswer: 66.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -16433, 9, 1.\nAnswer: -16433, -5, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -153d (base 16) to base 12\nAnswer: -3191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q + 6*q - q**4 + 16 + 3*q - q**3 + 3*q to the form o*q**3 + d*q + t*q**2 + n + l*q**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6845 * 0.1\nAnswer: 684.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/((-300)\/(-18)))\/(18\/20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1246 and 269848.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7640051 * 23\nAnswer: -175721173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1011, -1008, -1003, -996, -987, -976?\n\"Answer: o**2 - 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64777290 rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 14 (c) 2\/17 (d) -2 (e) 67 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**3 - 19*a**2 + 10*a - 12. Let s be m(6). Suppose 4*f = 20, 7*f + 612 = k + s*f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.68958 litres to millilitres.\nAnswer: 89689.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(-4) + 1\/4. Suppose -1 - z = -2*n. Solve n*g - g = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81456612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((280\/42)\/20*(-6)\/2)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5760514607 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -268959763.3 to the nearest one million.\nAnswer: -269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-20))\/((-2)\/(-3)*3). Let z(u) be the second derivative of 0*u**3 + 0*u**5 - u**2 + 1\/3*u**4 - 9*u + j - 1\/15*u**6. Find x, given that z(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlzlllrllzdzlzlzzzu. Give prob of picking 1 u and 3 z.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 110 = 0. Suppose -3*u + i = -4*i - n, -5 = 2*u + 5*i. Let a be (18\/u)\/(6\/20). Let j(k) = k**2 - 6*k + 5. Determine j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(1\/6)\/z*z*z*z)*z**(-14) assuming z is positive.\nAnswer: z**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28780 or 1582873\/55?\nAnswer: 1582873\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.073 + 0.132. Let y = 3.825 + u. Let a = -0.03 + y. What is the second smallest value in -5, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 43033313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 + 9*r**2 + 5*r - 31. Is l(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 616 or 614?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose -p*t = -7*t + 60. Let r = 59 + -36. Calculate the remainder when r is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/150 and 2 - (4 + (-170)\/(-4))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 6:53 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -10*l + 15. What is the lowest common multiple of 25 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)*h*h*h)\/h*h*h*h*h\/(h**2\/h)*h\/(h*h**0)*h**(-1)\/h*((h\/h**(2\/7))\/(h*h**(2\/5)))**(-40) assuming h is positive.\nAnswer: h**(831\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4*(-6)\/5. Let w(p) = 4*p + 7. Let o(x) = -2*x - 4. Let g(b) = j*w(b) - 5*o(b). Is g(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/(6\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 4, -4, 98, 5 in decreasing order.\nAnswer: 98, 10, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33810655*j**2*p**2 - 1438*j*p**2 - 40*j + 176*p**2 wrt j?\nAnswer: -67621310*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-87)\/116)\/((-1)\/4). Which is the nearest to -2\/13? (a) y (b) 3\/7 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 24 = 2*o - 5*n, 4*o - 28 = 4*n. Let t(a) = -3*a**3 - a**2 - a. Let c be t(o). Is (-5)\/2*c\/25 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -10. Suppose k = 4*h - 0 - 4, -k + h - c = 0. Suppose -b - 3*b + 20 = k. Solve z + d + 1 = 0, 3*z = -2*d - b + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 9:42 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -z, 119*z = 117*z + 8. Solve 0 = -2*t - d*n + 21 - 3, -n = -2*t + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (34\/4 - 0)\/((-6)\/(-12)). Let h(s) = 115*s - 34. Is h(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 5. Suppose -207815*l = -207854*l + 195. Put 4, p, 1, l in increasing order.\nAnswer: p, 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77)*5 - 4*(sqrt(77) + sqrt(77)*-3 - sqrt(77)))\/(sqrt(495)\/sqrt(5) + sqrt(11) + (sqrt(11) + sqrt(891)*4 - sqrt(11))).\nAnswer: 27*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 44*c**3 + 7885*c - 4004*c + 2*c**2 - 4018*c as w*c**2 + z*c**3 + y + i*c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495744.\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105*-0.1.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -0.2 (b) 7 (c) 177 (d) 3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:32 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/25)\/((2 - -1)\/(-810)). Let c be 1 - (-117)\/j - 1\/4. Sort 2, c, 0.034 in descending order.\nAnswer: 2, 0.034, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -68\/2377 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 363 - 465. Let s = -3 - 18. Let h = i - s. Calculate the least common multiple of h and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 + 3*r**3 - 26 - 2*r + (2*r - 2*r + r)*(-1 - 7*r**2 + 1).\nAnswer: -4*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 2*q + 2. Let t(c) = -c + 1. Let i(k) = 3*s(k) - 6*t(k). Let p(o) be the second derivative of 0 + 1\/3*o**3 + 0*o**2 - 3*o. What is i(p(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 985 and 986379?\nAnswer: 4931895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*h**2*m**3 - 114*h**2*m**2 + 2*h**2 + m**3 wrt m.\nAnswer: -348*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000119 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325382438 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6*-3 + 2. Suppose 433*c = 442*c - 36. Put b, -1, c, -3 in descending order.\nAnswer: c, b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/11 (c) 0.01 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*u = -611, -147 = -5*a + 5*u + 473. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.8. What is the biggest value in z, -3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2499) + -2*sqrt(2499) - sqrt(2499)) + sqrt(2499))\/(sqrt(24)\/sqrt(8)*-1)*1.\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16539.\nAnswer: 3, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztnt when four letters picked without replacement from zztzzzznztnzzz.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 413600861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*q**2*z**3 + 614*q**2 - 15*q*z**4 + z**2 wrt z?\nAnswer: 420*q**2 - 360*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 + 2*b**2 - b - 1. Let d be l(-1). Let o = -15 + 10. Sort -1, o, d in decreasing order.\nAnswer: -1, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h = -76*h - 75*h + 105*h + 10200 for h.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (3 - (-11 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 0.1708\nAnswer: 0.3708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p**18\/p)\/p))\/p*p**(2\/33))\/(((p*p\/(p**(-1\/4)\/p)*p)\/p)\/p)**(-39))**(2\/67) assuming p is positive.\nAnswer: p**(9479\/4422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/12 (c) 0.049 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.01 - -0.01. Is f at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:05 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2215*s + 4421*s - 2219*s + 5.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 175567794*q + 105441395 wrt q?\nAnswer: 175567794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a7 (base 11) to base 9.\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.4 + -18. Let d = -61.6 - -61.7. What is the closest to -1\/5 in q, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.71779 micrometers?\nAnswer: 1717.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 25509.\nAnswer: 1785630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16546*d**4 + 16344 with respect to d.\nAnswer: 66184*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**2 - 10104*o - 8507568 = 0.\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -78344448 divided by 143488?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:58 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -877551 or -877542?\nAnswer: -877551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 1309*d**2 - 14558*d + 50165. What is s(1320)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 861670.5 litres to millilitres.\nAnswer: 861670500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6049 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5008 - 28*i + 2655 + 2353.\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 divided by 6?\nAnswer: 466\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1367 - 1367 - 79*k**2)*(-6*k - k + 2*k)*(-k**2 - 1 + 1).\nAnswer: -395*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -36. Let r(j) = -j**3 - 2*j**2 + 2. Calculate r(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -1. Let z = -7.05 + b. Let v = 2\/237 - -148\/1185. Sort v, 0, z in ascending order.\nAnswer: z, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-5))\/(34\/10) - 16941282\/(-867)?\nAnswer: 2, 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -13*x**3 - 2*x**2 - 6*x - 15. Calculate the remainder when l(-2) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.28 in 0, 2\/5, -1, 2\/103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.192 minus 1804134991?\nAnswer: -1804134991.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:14 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-5\/4)*l)*l**(2\/3))\/(l**(2\/7))**(2\/195))\/((l**(-2)\/l*l)**(-13\/6)\/(l**(1\/9)\/l*l**(1\/5))) assuming l is positive.\nAnswer: l**(-50917\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 24. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13224, -26445, -39662, -52875, -66084, -79289?\nAnswer: -92490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2032, -4, 50, -0.1, 1\/4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/3*m**4 - 7\/3*m**2 - 7\/3*m**3 - 2\/3*m = 0 for m.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, 37\/2, -0.2, -817, 1\/9 in increasing order.\nAnswer: -817, -0.2, 1\/9, 2.2, 37\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1.46 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.15 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.77 + -136.77. Let x = -1859968079 - -1859967943.9999897. Let s = x - o. What is s rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 38. Let m be p(9). What is the remainder when 85 is divided by 84\/(-12) + (m - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 + 61*o + 57. What is v(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 235 - 353. Let r be 136\/16 + -6 - (-5)\/10. Calculate the remainder when 4 - r - d*1 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 5*u**4 + 5*u**3 - 6*u**3 + 0*u + 3 + 4*u**4 to s*u**2 + k*u + n + f*u**3 + l*u**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1779.428 - 1928.7. Let h = -0.272 - b. Let u = 148.704 - h. Round u to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1*sqrt(108) + sqrt(108))*-6)**2 + -4.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(312))\/sqrt(6) + -2*sqrt(468)).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:52 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1543*s + 7*s**2 + 1547*s + 1549*s - 4639*s.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.549*1183\nAnswer: 4198.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00836151923 rounded to 4 decimal places?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3162, 3232, 3304, 3378, 3454, 3532, 3612?\nAnswer: 3694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1 + 0*z - 49*z + 8*z + 28*z. Let r(a) = -12*a + 2. Determine -5*r(o) + 4*y(o).\nAnswer: 8*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 55. Let f be (2\/(6\/(-5)))\/(21\/(-63)). Let u(l) = -2*l**3 - 42*l**2 + 45*l + 27. Let i be u(-22). Solve -5*x + p + 9 + 4 = 0, -f*p = i*x - o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75.87 - 76. Let f = -112.87 + x. Let n = f + 113.00465. What is n rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -81, -116, -165, -228?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6929016 to the nearest integer?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91436 - 3199942\/35. Let z = 44\/5 - i. Let d be 2\/10*1000\/2900. Which is the third smallest value? (a) z (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000491515733 to seven decimal places.\nAnswer: 0.0000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 58*w - 62*w + a, 0 = -3*w - 2*a - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -660, -655, -648, -639, -628?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 divided by -46?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-12 + -12 + 24 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a4a5 - 2b?\nAnswer: -5a514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q - 5*q - q + 31 + 0. Let x(j) be the second derivative of j**4\/6 + 4*j. Give y(x(b)).\nAnswer: -4*b**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 169241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -169*m**5 + 371*m**4 + 441*m**3 - 775*m**2 - 544*m + 132 = 0. What is m?\nAnswer: -1, 33\/169, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3)*(-5*t - 19*t + 2 + 0 + (-2*t + 5*t - t)*(-4 + 4 + 1) - 4*t + 2*t + 3*t).\nAnswer: -63*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161648?\nAnswer: 2, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -152 and -147.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/2679 - 2671\/5358. Let l = 2.6 + -2.2. Which is the second biggest value? (a) z (b) 4\/45 (c) -0.2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w. Let q(c) = -784*c**2 + 3*c - 12. What is q(s(o))?\nAnswer: -78400*o**2 - 30*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:41 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64047?\nAnswer: 3, 37, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxj when three letters picked without replacement from xfjfxjjffxxf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*(-994)\/23856\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptssfiistfisff. What is prob of sequence tsf?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8 + 2 - 2*h**2 + 9*h**2 - h**3. Determine y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144 - 130) + 0 + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-six fifths of a decade?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20780*d + 5759*d - 1192448 - 325402 = -45792 for d.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*y - 5*d + 5, -1 = -2*y + d. Let c = y + -17. Let g = -4 - c. Solve -4*o - g = -0*v + 2*v, 2*v + 2 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85898 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9*v + 114 = 0. Put v, 1, -1, -4 in decreasing order.\nAnswer: 1, -1, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930*s = -2733*s + 213856 + 101162 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 303\/37 - -69199\/148. Let h = r - 475. Factor -1\/2 - 1\/4*t**2 + h*t.\nAnswer: -(t - 2)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 3005213610 - 3005213610.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 7*i**2 + 3*i + 41. Let f be p(5). Solve -3*v - f = -4*t, -2*t + t + 4*v = 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6630*p - 33092. What is d(5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/30 + 2*t**2 + 616*t - 2. Let y(u) = -11059*u. Determine b(y(s)).\nAnswer: -244602962*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 289.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 50142309 divided by -5\nAnswer: -50142309\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -111 and -2454.\nAnswer: 272394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -192, -194, -196, -198, -200?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17044 and 119.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 68089?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 12. Let n(y) = -665*y - 23. Give n(s) - 2*p(s).\nAnswer: 2*s**2 - 665*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42067 - -1?\nAnswer: -42066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (407\/(-999))\/((-121)\/66)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 21 = 4*f, 3*t + 90221*f = 90220*f + 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f - 3 + 3*f**2 + 4*f + f**2 - 5*f**2 as u*f + p*f**2 + i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*c = 0, -5*v - 4*c - 16 = -3*c. Let o be (-10)\/v*(-8)\/90. Let z = -183 - -178. Put o, 57, z in descending order.\nAnswer: 57, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2372 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.34 + -3.2. Let o = z - 0.34. Which is the second biggest value? (a) -8 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36, -55, -210, -429, -712, -1059?\n\"Answer: -32*x**2 + 5*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 32. Let y(b) = 229*b + 3. Let g be y(c). Round g to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 14. Let w(b) = b - 13. Determine -2*k(r) - 3*w(r).\nAnswer: -r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**4\/24 - 1151*h**2. Let k(j) = 7*j - 1. Give k(p(y)).\nAnswer: 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*p + 494 = 30. Solve -2*i + 2 = p*b, 4*i - 4*b + 40 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -237*x + 286. Determine n(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 81. Let w = -40.1 + 38. Let t = 2 + w. What is the third biggest value in -3, t, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q + 15*q - 17*q + (-1 - 3 + 3)*(0*q + 7*q - 3*q))*(-q - 3 + 3 + 2 - 2*q - 2 + (0*q - 2*q + q)*(0 + 2 + 0)) to the form z*q + i + b*q**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 86*y**3 - 20*y**3 - y**3 - 6*y**3 - 14*y**3 in the form h + o*y**2 + i*y + p*y**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/12 + 53*i**3\/3 - 174*i**2. What is the tens digit of j(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -3.8. Let j(d) = -3*d + 12. Let b be j(6). Let g be (-6)\/b + 8\/(-7). What is the third biggest value in m, g, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-2*(-2)\/(-4))\/((-105)\/70))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-12)*(-40)\/(-15). Suppose 3*q - 63 - 122 = -a, n*q - 123 = -a. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*f - a, 1719*a = 2*f + 1720*a + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15682.83 tonnes to grams.\nAnswer: 15682830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18638 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Suppose -4*j + c = -0*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 1.25\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:38 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2423 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h - 10. Let p be (-38)\/10 + 8\/(-40). What is the units digit of b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 1 + 0 - g**3 + 4*g - 3 to z*g**3 + a*g + o*g**2 + l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 372, 4\/7, 1.1, -1\/3 in decreasing order.\nAnswer: 372, 1.1, 4\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*y - 2, z - 5 + 9 = -5*y. Let j(r) = 95*r**3 + r**2 + 4*r - 4. What is the remainder when j(z) is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027917258 rounded to five dps?\nAnswer: 0.02792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 20*k**2 + 2*k + 3. Let s be f(3). Suppose 12*v - 42 = 10*v. Calculate the greatest common divisor of v and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1985, -3971, -5961, -7955?\n\"Answer: -2*v**2 - 1980*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 242*l. Let o(a) = 8*a**2 + 27*a + 9. Let g(f) = f**2 + 3*f + 1. Let x(r) = 18*g(r) - 2*o(r). Determine x(i(c)).\nAnswer: 117128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271 + -562. Is -1 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 60. Let b be (-1)\/((-1 + 4)\/p). Factor -4\/3 - 2\/3*i**b + 2*i.\nAnswer: -2*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + c**2 + c + 384. What are the prime factors of m(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 2078*u**2 - 9377*u + 10577. Find the first derivative of r(k) wrt k.\nAnswer: 4156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 u when three letters picked without replacement from {r: 1, u: 2, p: 2, q: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*(-118)\/(7788\/(-198))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -23 - 5. Let g(f) = 2*f**3 - 20*f**2 + 32*f + 64. Let z be g(4). Solve -2*x + d*x + 10 = z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b. Let s(p) = 19*p**2 - 4. Let t(x) = -56*x**2 + 11. Let u(i) = -11*s(i) - 4*t(i). Calculate m(u(n)).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) - (-15)\/10. Let a = 187 + -182. Factor 1\/6*d**3 - 1\/6*d**a - 1\/6*d**r + 1\/6*d**4 + 0 + 0*d.\nAnswer: -d**2*(d - 1)**2*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 - 80*t + 430. Let o be k(5). Solve o*r = 4*l - 15, 12*r = 4*l + 17*r - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816 and 54247136.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153) + 2 + sqrt(153) + sqrt(153) + 1)**2 + 6*(sqrt(17) + 1)*-4*1.\nAnswer: 30*sqrt(17) + 1367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 456654?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -21, 391 in increasing order.\nAnswer: -21, -5, -4, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g*g\/(g*g**(2\/7))))\/((g**(-3\/2)\/g)\/g))\/(g**(3\/5)*g*g\/((g\/(g\/(g**6\/g)*g))\/g)))**(1\/54) assuming g is positive.\nAnswer: g**(121\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.748*3438.\nAnswer: -16323.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-15)\/(-11))\/(-15))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -134*l**3 + 16*l**2 + 44*l + 4. What is the thousands digit of t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 3\/2 (c) 3\/25 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z - z + 5 + 4*z - 1. Let c = 16 - 14. Let v be (-2 - c)*(-15)\/20. Calculate a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -3, -4.\nAnswer: -4, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1001110000010010000?\nAnswer: 1001110000010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(352\/(-231)) - -11. Sort -7, 2\/3, h in decreasing order.\nAnswer: 2\/3, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-60))\/((-18)\/(-15)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25506 (base 13) to base 6\nAnswer: -1251130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -516973\/7 - -73684. Let z = -169 - j. Factor 6\/7*y**4 + 2\/7*y**5 + 0*y + z*y**2 + 6\/7*y**3 + 0.\nAnswer: 2*y**2*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -0.5 (c) 21\/613\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232702386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w\/(w**(2\/11)*w))\/(w**(-2\/5)*w)**(-44))\/(((w**(-5\/4)\/w)\/(((w**(-1\/2)\/w*w)\/w)\/w))\/(w**0)**32) assuming w is positive.\nAnswer: w**(5053\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 664*u - 8053. Determine s(12).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1*sqrt(128) - sqrt(128)) + (sqrt(1152) + 2 - sqrt(1152)) + 4 + -5))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -19 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -8. Let o = q - 7.3. Let k = -278\/3 - -92. Which is the smallest value? (a) -4 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -323, 1\/2, -0.3, 2\/7.\nAnswer: -323, -0.3, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122211222 (base 3) to base 10.\nAnswer: -13013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiic when four letters picked without replacement from pcpppiiupiuc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 5*i**2 + 2*i - 6. Let z(n) = -n + 8. Let b be z(3). Let v be d(b). Suppose 5*w - 180 = -v*x - x, -2*w + 54 = -4*x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 360241897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1654680 divided by 330936?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42474375 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-44)*g*(g\/g**(-43))\/g*((g*g\/g**(-2\/5))\/g*g*g)\/g**(13\/3) assuming g is positive.\nAnswer: g**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.74 - -2.65. Let h = s - -0.09. Let p = -0.96616 + 1.26616. Which is the biggest value? (a) h (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*q - 7*q - p, -5*q + 7 = -p. Solve 4*l - 18 = -q*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8758?\nAnswer: 2, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s + 6381 = 24*s + b, -b = -4*s + 6371. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1875 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*g + 281 = 4*q, 5*g = -5. Suppose -7*f = -8*f + q. Let x = f + -43. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 4*f + 35. Suppose 0 = -80*m + 74*m - 48. Let w be b(m). Solve w*v + 16 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)\/u**42 assuming u is positive.\nAnswer: u**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 + -263.07. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-2 - 1) - -16) + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3205543367.\nAnswer: 13, 246580259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 less than -0.6161?\nAnswer: 3.4839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/2)\/(6 + (-1675)\/280). Let y = -110 + w. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/7)\/((-60)\/210). Suppose 5 = 5*d, 13*d = -p*l + 9*d + 46. What is the lowest common multiple of l and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, 24, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413301516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q + 1087252*q**2 - 2174489*q**2 + 0*q + 1087239*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = 2. Let r = -19 - -1. Let v = -3 - r. Solve -4*p + 7 = -2*j - 3, v = 5*j - t*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g + 1. Let t be j(-1). Let m = t + -4. What is the third derivative of -3*b**2 + 14*b**3 - 29*b**3 + 15*b**3 + m*b**5 wrt b?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 0.45. Let s = b + -8.15. Let f = 4290 - 17159\/4. What is the second biggest value in -0.4, 3, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1104*f + 623*f + 6037*f + 4. Let x be r(-9). Round x to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 48*z**3 - 177*z**2 + 132*z.\nAnswer: -3*z*(z - 11)*(z - 4)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39a28750 - -1?\nAnswer: -39a2874a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88761 divided by -1.\nAnswer: -88761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((-19)\/285).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1153 or -0.1?\nAnswer: 2\/1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24034 - 7*p - 5*p**2 - 8*p**2 - 24034.\nAnswer: -13*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/(-84))\/((-76)\/(-133)))\/((-6)\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, 2, -28, -2, -4 in descending order.\nAnswer: 2, -2, -4, -28, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 10. Let x = -22.9 + g. Which is the nearest to 0.1? (a) -4\/3 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 5 = -4*c. Let b(n) = 7*n - 14. Calculate the remainder when b(6) is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*n + 41 = 2, n = -2*t - 60. Let x = t + 31. Suppose 0 = -x*v - 4*v - 146400000. Round v to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863778?\nAnswer: 2, 3, 19, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 5*r + 7. Suppose a - 3 - 1 = 0. Suppose -a*b + 2*x + 38 = -0*x, b + 4*x = -13. What is the remainder when k(6) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63113*v**3 + 5499*v**2 + 3*v wrt v?\nAnswer: -378678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + 77 + 4)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281648569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.644 - -4.7794168.\nAnswer: -30.8645832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 734 and 223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + 4*y**2 - 3*y**2. Suppose 3*q - 15 = 0, 13*n - n + 2*q = 7*n. What is u(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24\/7 + 89\/28. What is the closest to -2\/9 in -2\/3, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose 3 + 2 = -5*w. Let p be (6\/(-2))\/(w\/i). Solve 0 = -3*b + p*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 345\/(-276)*(1\/(-2))\/(-1)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 8*c - 4. Let j(i) = -i**2 + 8*i - 4. Let t(w) = -4*j(w) + 5*q(w). What is the units digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 = -3*o, 0 = 3*q + q - 16. Let s be (4 - 2) + o\/(-1). Let k be s\/(-2 + 21\/9). Solve -2*y + 15 = k*y + 4*u, -4*u - 3 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 50. Let b be ((-9)\/(-408))\/((-3)\/2). Let f = b - -13\/17. Put f, o, -3 in ascending order.\nAnswer: -3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.3 times 60.5\nAnswer: -502.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*r**2 + 9*r**2 + 13*r**2 + 41*r**2.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14511116874816 + 14511116874816 + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 30*t**4 + 34*t**4 + (-4*t**3 + 0*t**3 + 2*t**3)*(t - 2 + 2) + 5 + t**4 - 5.\nAnswer: 62*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 53. Suppose 0*v = -4*h - v + 247, -2*h + 113 = -z*v. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 438, -30\/7.\nAnswer: -30\/7, 3\/7, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -1157*x + 1134*x. Solve 0 = -3*l - c + 12 - 37, -x = -l + 2*c for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125993983 is divided by 7883?\nAnswer: 7877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 4. Let j be r(-3). Let z = j + 17. Does -8\/3 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 56*j + 68935 = 61*j, 0 = 3*u - j - 41389. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*j - 8, z = 2*z. Is 7\/((-14)\/(-304)) + j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/11 + -5\/22. Find n such that -f*n**2 + 1\/2 + 0*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -4 (c) -0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25107393 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -802a9 (base 16) in base 2?\nAnswer: -10000000001010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200 - -202. Is (-29615)\/(-7 + d) - (1 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100536462 + -11?\nAnswer: -100536503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0.18, 1, 5, -13 in decreasing order.\nAnswer: 5, 1, 0.18, -13, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.79424 in -4, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*z + 5200, -15*z + 3*u - 7800 = -18*z. Calculate the highest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13161)\/(-535))\/(-123)*375\/(-2).\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -35. List the prime factors of ((0 - f) + 42)*9\/6.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 2. Suppose x + 0*h = h + 6, -3*h = -5*x + 20. Suppose 1 + c**o - x = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**22\/(c\/(c\/c**(1\/13)*c)) assuming c is positive.\nAnswer: c**(298\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*y - 4384 + 32500 = 0 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 4 - (-1 - -1)) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3233 - -8?\nAnswer: -3227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 6. What is the lowest common multiple of u and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -4*u + 3*f, 3*u = f + 2. Let d be (-56)\/160 + u\/(-5). What is the nearest to 1\/2 in -3, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Let s(r) = -r**2 - 4*r - 3. Let x be s(-4). Let g = -3 - x. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -658bc (base 16) in base 8?\nAnswer: -1454274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2, -5\/4, 191044, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135322 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 38*j - 132. Give a(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 - 7*b - 4. Let h be s(-6). Let v(o) = 1 - 3 - 19*o + h*o. Calculate the remainder when v(-2) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*n + 36*n = -40*n - 3. What is the second biggest value in n, 3\/2, -3\/2, 1\/4, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 5 - 10)*(-88)\/36. Solve -17*n - k - 46 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100 (base 2) to base 6\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (sqrt(3) - (-2 + sqrt(300) + sqrt(300) - sqrt(3))) + (sqrt(3) - (sqrt(3) + (sqrt(243))**2)*5).\nAnswer: -1207 - 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/60 - 13*j**5\/30 + 11*j**4\/6 - 7*j**2 + 6. Factor c(p).\nAnswer: 2*p*(p - 11)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30599340 and 27539406.\nAnswer: 275394060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**3*m - 3*a**3 - 2*a**2*m**2 + 184*a**2 - 3*a*m**2 wrt m?\nAnswer: -5*a**3 - 4*a**2*m - 6*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1111111?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**6)*g\/(((g**(2\/7)*g)\/g)\/g))\/(g**1\/g**(1\/2)) assuming g is positive.\nAnswer: g**(-67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h. Let x(d) = -34*d - 31*d + 3*d**2 + 69*d + d**3. What is -3*w(c) - x(c)?\nAnswer: -c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-15 - (-10 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -287, -1288, -2955, -5288, -8287, -11952, -16283?\n\"Answer: -333*v**2 - 2*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-11 - -28 - 26) + 3 + -28?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let y(o) = 5*o**3 + 2*o**2 + o. Let q be y(l). Let n be (-12)\/(-72) - 34\/(-12). Put q, n, -5 in descending order.\nAnswer: n, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14143135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 386 - 245. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5295714 divided by 3?\nAnswer: 1765238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.08552 tonnes in grams?\nAnswer: 7085520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/20) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1038)\/78*((-9 - -4) + 7). Which is greater: -26 or t?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399330 = 5*k - 5*h, -372451 = -6*k + 5*h + 106747. What is the ten thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.9, -1, -2, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 10 = 12*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -14*x + 13*x, -2*l + 16 = 4*x. Solve l = 2*h - 26 + 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/7, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*b**4 - 7*b**4 + 5*b + 3*b**4 as w*b + i + q*b**2 + n*b**3 + x*b**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59\/5 of a kilometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166962, 166966, 166972, 166980, 166990, 167002?\nAnswer: 167016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57078 and 179388?\nAnswer: 1255716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a5849 + 13?\nAnswer: 2a5861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 64351.58971.\nAnswer: 64355.58971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -187 - 374*l**2 + l - 1536*l**2 + 93 + 94 in the form w*l + v*l**2 + b and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -263, -3, 19 in increasing order.\nAnswer: -263, -4, -3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57914 is divided by 14209.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011101 + 1000110100111000111?\nAnswer: 1000110011011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -33022?\nAnswer: -33023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*d**2 - 1143837*d - 155979.\nAnswer: 3*(d - 17331)*(22*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 - -227. What is the biggest value in j, -3, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/1399350586 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19374 - 19302.912. Let v = u + -71. Let q = -20.912 - v. What is the second biggest value in q, -3\/5, -2\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2. Let p(b) = -50*b + 60. Let n(w) = -94*w + 122. Let h(g) = 10*n(g) - 19*p(g). Determine k(h(s)).\nAnswer: -400*s**2 - 6400*s - 25600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -60*-18.8\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - (6 - 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-21))\/(((-1615)\/45)\/17)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*-2*(2 - -177). What are the prime factors of 222\/37 - y*2?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 + -102. Let g = h - 104. Let o = -6.4 - -6. What is the closest to o in 4, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 3, 29, 71, 129?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 2. Let l be p(-1). Let n be (-3)\/9 + l\/(-3). Let f be 3 - ((-18)\/(-3) - 1). Put 5, f, n in descending order.\nAnswer: 5, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466621 divided by 1?\nAnswer: 466621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 23182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 19. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 92951, -49, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1384, -1621, -1840, -2035, -2200, -2329, -2416, -2455?\n\"Answer: v**3 + 3*v**2 - 253*v - 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133.94 + -135. Let f = 682.26 + -691. Let j = u + f. Round j to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 + 21\/18. Let t be (-2309)\/2135 + 1 - (-4)\/10. Let x = t - 2\/61. What is the nearest to -0.1 in -0.3, d, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18 = 3*j + 2*j, 6 = c - j. Let w(l) = -3*l + c*l**2 + 3*l. Let n(t) = 2*t - 2. Let u(f) = 2*f - 3. Let b(y) = 3*n(y) - 2*u(y). What is w(b(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60445.07 minutes in nanoseconds?\nAnswer: 3626704200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 7*v - 5*s - 39, 3*v + 11*s = 16*s + 4 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -19*d + 18. Let x be m(-6). Calculate the highest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1430 by -6.\nAnswer: -715\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8260000 = -8*g + 6*g. Round g to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*d - 101*d + 169 = -77*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4531*k - 2412*k + 15786 = 2887*k + 58026 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.1 + -0.9. Let i = b + 6.4. Let r = 0.6 + i. What is the second biggest value in 0, r, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 120 = -4*y. Find the common denominator of 5\/18 and (-9)\/(-7)*124\/y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*k - 475, -4*s = -k + 2*k - 655. What is the greatest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 2*q + 8*q**2 - q**2.\nAnswer: 13*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18477 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.453 + -15.5. Which is greater: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440\/6*(-13 + 16).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 767242754 to the power of 1\/2, to the nearest integer?\nAnswer: 27699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.8 - 21. Let o = q - 88.8. Let g = o + 86.9999894. What is g rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 284*z + 0 + 177*z - 454*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -5 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -53 + (120 - 28)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 375875\/63?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**35)\/g**(6\/23))\/(g**(33\/7)\/(g**(1\/17)*g)) assuming g is positive.\nAnswer: g**(-103777\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6057*13.802.\nAnswer: -83598.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 3*q - 3. Let p(g) = -g**2 - 3*g - 2 + 5*g**3 - 6*g**3 - 3 + 0*g + 8*g. Calculate 3*p(d) - 5*z(d).\nAnswer: 2*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(119)\/sqrt(63))**2.\nAnswer: 425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**3\/6 - 19*z**2\/4 - 21*z - 1166. Solve w(x) = 0 for x.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(204) + sqrt(204)*-3 + sqrt(204))*1)\/((sqrt(120)\/sqrt(2))\/sqrt(5)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-6)*18\/(-24). Calculate the highest common divisor of m and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - w - 59624 = 0, 7045*w - 59610 = -3*p + 7048*w. What is the highest common factor of 143 and p?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 17 - 11 = -z - 2*z - 10, -6*z + 102 = -39*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*j + 13 = 0, -h - 2*j + 16 = 2*h. Suppose 4*d - h*d = 32. Differentiate 2 + 12*x**2 - 8*x + d*x - 8*x with respect to x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*i)*(0*i**2 + 5*i**2 - 3*i**2) + 5*i**3 - 12*i**3 - 5*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -135, -150, -125, -48?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 72 = 5*k. Let p = k - -44. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Work out 0.1 + -32.91.\nAnswer: -32.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 380119029*j**3*m - 25438979*j**2 + 11*m wrt j.\nAnswer: 2280714174*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 = -3*t - 107. What is the greatest common factor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 2*s - 3 + 10 to the form x + y*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/13904 and -41\/1408.\nAnswer: 111232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.758598*-0.2\nAnswer: 0.1517196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.682764 - 0.3?\nAnswer: 2.382764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 5 - 3) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3827593 micrograms to kilograms.\nAnswer: 0.0000000003827593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 7*u - 6. Let d be c(7). Let m be d\/(-9) - 4\/(-3). Let i(w) = -w + 0*w + m*w + 1. Determine i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 3161.\nAnswer: 3160.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -147 - 69*z + 183\/2*z**2. Find the first derivative of d(n) wrt n.\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -4\/7 (c) -43856\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82771 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(2\/19)\/i)\/(i\/(i*i\/(i**(-3\/10)*i))) assuming i is positive.\nAnswer: i**(267\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1051012 by 5.\nAnswer: -1051012\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 7*s. Suppose -3*z + 5*f - 35 = -8*z, s = -3*z + f + 5. Suppose -16 = -5*u + z*u. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2 - 36180*p - 180800 = 0. Calculate p.\nAnswer: -9040, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428697?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/7 - 31776260*t\/7 = 0. Calculate t.\nAnswer: -15888130, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108274999.\nAnswer: 7, 1567, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*3*(-1 - (-20)\/24). Solve f*p - 3 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1933114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.97905 millilitres to litres.\nAnswer: 0.03897905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 17 = -4*i - 10, -n = -2*i - 8*i + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 173*h - 18891 = 178*h, -w = 2*h - 9405. Is 60 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 + 166. Let z(i) = i**2 - 3*i - 4. Let d(o) = -4*o**2 + 10*o + 12. Let t(b) = -2*d(b) - 7*z(b). What is the tens digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v = -40. Let g = 141 + -95. Let j = g + v. Calculate the highest common divisor of 24 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 838230 by 3.\nAnswer: 279410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*o**2 - 63*o**2 + 9*o**2.\nAnswer: -812*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22014 + -1993664.\nAnswer: -1993663.77986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i, -2*r + 1366 = -7*r + 6*i. Which is the nearest to -2\/5? (a) -4 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5\/2 - 178833*c**4\/2 + 5459898*c**3 - 5370480*c**2 = 0 for c.\nAnswer: -59672, 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s**2 + 419*s - 2573. Determine r(6).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 3.8. Which is bigger: f or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60071 + 43308 = 297*r + 5369. Let n be (-6)\/(-21) + (-103)\/(-7). What is the highest common divisor of r and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-210)\/(-9) - (-2)\/3. Suppose -5*k - 2*s = -0*k - 16, -5*k + g = -2*s. Solve -5 + k = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.5+185\nAnswer: 188.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**3*z - 19678998*t**2 + t*z + 769245*t + 30 wrt t.\nAnswer: -18*t*z - 39357996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134 + 37920.\nAnswer: 38054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/35 + -1207\/280. What is the common denominator of r and 65\/308?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 705 - 298. Let r = u + -122. Is r a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-28))\/(5\/2). Put w, -0.2, -1 in ascending order.\nAnswer: -1, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1527? (a) 0.1 (b) 0.2 (c) 1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569362449?\nAnswer: 3, 41, 59, 67, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/8 in -2\/9, 4\/3, 0.5, 1366?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/51 + (-17589480)\/(-680) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1672 + -1672.000004403. Round m to 7 dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29739265?\nAnswer: 5, 5947853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31*54\/(38502\/(-391))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 24 = 3*h + t, 2*h - 46 = 4*t. Let d = 19 - h. 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: Calculate -1391 divided by 1668.\nAnswer: -1391\/1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 1. Let d(n) = 10*n + 2. Give d(q) - 5*x(q).\nAnswer: 5*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + 2*v**2 - 1. What is k(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 3*u**2 - 2*u + 18. Give b(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, 4, -6, 5, 6 in descending order.\nAnswer: 172, 6, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646 is divided by 467?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -11.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -221*c**5*t**3 + 34*c**5*t - c*t - 1947*c - 2*t**3 wrt c.\nAnswer: -4420*c**3*t**3 + 680*c**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (4 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/4833 and 97\/1386.\nAnswer: 744282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11)*1 - (sqrt(11) + -1 + sqrt(176)))**2.\nAnswer: -40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 32*g - 356. What is n(10)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 522, 784, 1048?\nAnswer: 1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, j: 2, n: 4, w: 4}. What is prob of sequence jne?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*26\/12)\/((-6721)\/113223)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 1:30 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 5 - 1 - 4 + 481*v.\nAnswer: -v**2 + 481*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 88)\/(((-15)\/(-10))\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(-6*1*sqrt(114))\/(-6*sqrt(6)*1 + sqrt(6)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1363*d + 1362*d + 46. Calculate the remainder when d is divided by (1 - 5)\/(-1) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217371834, -217371831, -217371828?\nAnswer: -217371825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 153279030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - n + 6*n + 49 = 0, -n + 7 = -2*x. Let l = -2 - x. Suppose 6*a = l*a + 10. Calculate the remainder when 12 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17954?\nAnswer: 2, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -18*c + 3*c**2 + 2 - 22 + 34*c - 8. Differentiate n(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250324 (base 6) to base 2.\nAnswer: -101011010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-7 + -5 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 + -12)*70\/(-4). Let l = f + -66. Find the second derivative of 14*m**3 - 5*m**3 + 16*m + 19*m**3 - l*m**3 wrt m.\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 988 = 3*d - 3*t, -3*t + 988 = 4*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2160.6 + -2158.7. Which is the third biggest value? (a) 0.4 (b) 0.69 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2 - 5. Solve n = -2*y - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*8\/(-108))\/(35\/15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.46 + -226.54. Let i = 227.6 + b. What is the fourth smallest value in -4, i, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:18 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + (6279\/624 - (0 - -6))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63429.\nAnswer: 3, 21143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (163*n + 38*n**3 - 163*n)*(6 - 4 - 3)*(2 - 2 - 2) to the form r + d*n + v*n**2 + w*n**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -275, -93, 171, 511, 921, 1395?\n\"Answer: -z**3 + 47*z**2 + 48*z - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-9)*o)*o\/o**(2\/31))\/(((o*o**(5\/8))\/o*o)\/o**(-2\/39)))**(-8) assuming o is positive.\nAnswer: o**(-70211\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3184 - 3184. Solve 4*k - 5*a + 49 = c, 2*k - 20 = -3*a - 17 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 12 + 15)*(-f + f - f**2) + 0*f**2 + 5*f**2 - 4*f**2)*(0*f**2 - f**3 + 0*f**2).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.11 - 51. Let z = w + -0.1106. Round z to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 254 = 4*m, -y = -0*m + 2*m - 86. Let n = 129 - y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-100)*55*(-8)\/(-22)*-4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 2. Let a(v) = -v**2 - 526*v + 8. Let b(f) = -a(f) + 4*k(f). Determine d so that b(d) = 0.\nAnswer: -534, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d - 25. Let j be (-84)\/(-20) - (-1)\/d. Suppose 0 = -j*x - 3*u + 13, 0*x - 6 = -x + 2*u. Solve q = 4*p - 16, -p = x*q + p + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1289, -3, -5004, 3 in ascending order.\nAnswer: -5004, -3, 3, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-26) + (-11376)\/(-78) is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 443 divided by -2\nAnswer: -443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 862 + -853. What is the nearest to -1\/3 in w, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57105 (base 10) to base 15\nAnswer: -11dc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -108. Is s a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 - 10. Let y be c(-4). Is ((-289)\/y - 4\/8)*-3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence undu when four letters picked without replacement from uuuunuddnnnud.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -19*o - 10 + 28 - 15*o. Let z(h) = -11*h + 6. Let d(v) = -5*q(v) + 16*z(v). Let t be d(-6). What is the highest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/49 + (-14)\/(-49). Suppose -2*t + 4 = -4*t - 4*n, -x*t - 3*n - 3 = 0. Solve -2*p - p + 3 = t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 650 = 5*f, -3*u + 0*u + 136 = f. Let w = f - 42. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 45, 57?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 209240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c**4 + 1353*c**3 + 9633*c**2 - 13833*c + 2835 = 0 for c.\nAnswer: -105, -9, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cojocr. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 - 4*v - 3. Let g be z(5). Suppose 3*c = 0, -4*o + 2*o = 3*c - 184. Suppose 0 = -0*s + g*s - o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 0*a + 18. Let d be a\/(-3)*(1 - 3). Let f be (d\/(-6))\/(8\/(-12)). Calculate the highest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 21*k + 14. Is 28 a factor of i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 + 70 = 5*t + 3*b - 35, 0 = 5*t - 5*b - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -92*m**5 - 35780*m**4 - 209408*m**3 - 405088*m**2 - 245056*m + 24512 = 0. What is m?\nAnswer: -383, -2, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, 67, 97, 129, 163, 199, 237?\n\"Answer: r**2 + 25*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + j**2 - j + j + (-37*j - 31*j + 46*j)*(5*j - 3*j + 0*j) to the form s*j + y + m*j**2 and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37444, -74878, -112312, -149746, -187180?\n\"Answer: -37434*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1227217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-2)\/(-6) - 0). Suppose -1 = -3*z - 4. Which is greater: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 3*t**2 - 2*t + 8. Let b(f) = 3*f**3 + 6*f**2 - 4*f + 15. Let h(r) = -3*b(r) + 5*g(r). Is h(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3. Let q be t(-3). Let d be (18\/q)\/(4\/2). Let b be 3 - (-3 - -3 - -4). Is b at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - ((7 - -4) + -3)) - 11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66, 342, 832, 1536, 2454?\n\"Answer: 107*l**2 - 45*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25 + -0.25. Let d = 0.86 + -0.66. What is the closest to d in -4\/9, i, -13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h - h - 4 + 2 - 18*h to the form r*h + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 3*m - 2696 = 0. List the prime factors of m.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32513845 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145724155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1108, 4105, 9102, 16099?\n\"Answer: 1000*s**2 - 3*s + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -17. Let x = r + 4. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 10072253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(66)*-1 - sqrt(66))*5 + 3*(1*sqrt(66) + sqrt(66)))\/(sqrt(294) + sqrt(294)*-1 - sqrt(30)\/(2*sqrt(5)))*4)**2.\nAnswer: 405504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*t = -583, 0 = -4*v + 2*t + 783 - 319. Let q be 5 - 5 - -6 - v\/30. Which is the nearest to -2\/5? (a) -0.4 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6262006 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 95*q**2 + 4*q + 3. Let l be r(3). Suppose -n + 3*n - 520 = -3*x, 5*x + 5*n = l. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79826675, -79826672, -79826659, -79826630, -79826579?\nAnswer: -79826500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390 a factor of 61850810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 8*v**2 - v**3 + 2*v**2 in the form u + k*v**3 + i*v**2 + g*v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 42. Let q = 6 + -3. Let j = 70.96 - 71.96. Which is the nearest to j? (a) p (b) 1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*v - 2*g, -53 = 3*v + g - g + 2*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/5 + 7694*b**3 + 38471*b**2\/5 = 0. What is b?\nAnswer: -1, 0, 38471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 19*j + 54. Let b be n(-4). Suppose -w - 300 = w. Are b and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11019064.\nAnswer: 2, 7, 196769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 571, 729, 869, 991, 1095?\n\"Answer: -9*h**2 + 185*h + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7 = 3. Let r be -1 - -2 - (0 - b). Suppose -255 = -3*y - r*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*o + 4*t, -2*t - 50 = -11*o + 7*o. Let a be 1 + (o\/8 - 29\/116). Factor 20\/7*m + 8\/7 + 12\/7*m**a.\nAnswer: 4*(m + 1)*(3*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 12) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342572.8 decades to months.\nAnswer: 41108736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 3, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992544208.\nAnswer: 2, 23, 73, 36947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 4) in base 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4316456*p - 2. Let c(j) = -j. Determine f(c(d)).\nAnswer: -4316456*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*f + 17*f - 9*f**2 + 25*f**2 + 111*f.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -268.2 + -50.8. Let q = -320.33 - c. Round q to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y**(2\/9)*y)\/y))**(-1\/87) assuming y is positive.\nAnswer: y**(2\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2910105147 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 149, 223, 297?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 2*h**2 - 2*h**2 - 4*h**2 + 5*h**4 + 4*h**2 + (-2*h - 2 + 2)*(1 - 1 + 2*h**3).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 101320.57222.\nAnswer: 101320.77222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8253 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 713067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/10630?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5 - 17*i**4\/3 + 380*i**3\/3 + 2660*i**2\/3 + 4768*i\/3 + 704 = 0.\nAnswer: -11, -4, -2, -2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559, 692, 827, 964, 1103, 1244?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -59*q + 1884. Let n be o(32). Which is the smallest value? (a) n (b) 114 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 + 1)*(n - 2 + 2) + (41 + 38 + 54)*(0 + 4 - 3)*(1 - 1 - n) in the form b + x*n and give x.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26549 - 773*t**2 + 26549)*(-9*t**2 - 6*t**2 + 18*t**2).\nAnswer: -2319*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 2641620?\nAnswer: 2641620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a - 434?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfbrpr. Give prob of sequence pfb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {c: 3, p: 7, f: 8, e: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - y = 5*z - 39, z - 4*y = 0. Let w be (-344)\/(-6) + (-4)\/z. Suppose -b = -5*u + 50, 5*u = -b + w - 17. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 8*a + 52 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -4) + 24\/4. Suppose 0 = 5*q - 4*o - 317, 323 = -q + i*q - o. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5434 and 35578.\nAnswer: -193330852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -63, 1, 327?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -7. Let p = 6 + -11. Let s = -1009.3 - -1009. Which is the second smallest value? (a) k (b) 3 (c) s (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -264941*i**5 - 4*i**2 + 2235*i wrt i?\nAnswer: -15896460*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21 and -11.44?\nAnswer: 2.4024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -36, -66, -118, -198, -312, -466?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 2711*o**5\/10 - 5*o**4\/12 + 3*o**3 + o**2 - 3804*o. What is the third derivative of b(y) wrt y?\nAnswer: 32532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u - 70. Determine v(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (349*q + 2 + 562*q - 218*q)*(6 - 6 + 6*q) + (1 - 1 - 2*q)*(q + 2 - 2) + q**2 - q**2 + q**2 in the form u + n*q**2 + p*q and give n.\nAnswer: 4157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 412 + -529.99. Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1.2, 26, -3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.1 and -2.83?\nAnswer: 7.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*14439.6.\nAnswer: -2887.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 101.\nAnswer: -15\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 2:35 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/143745 and -69\/27380.\nAnswer: 574980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 747*f**4 - 5*f**3 - 433*f**2 + 5. Let p(s) = 1123*s**4 - 7*s**3 - 650*s**2 + 7. Let x(t) = 7*i(t) - 5*p(t). Find the third derivative of x(c) wrt c.\nAnswer: -9264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25761 = 364*d + 18587 - 8406 - 2454 for d.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*k - 887800, 3*k + 36*t - 35*t - 532686 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*g + 14 = 0, 5*a - 27 - 15 = -3*g. Let j(s) = s**2 - 7*s - 8. Let o be j(a). What is the units digit of 232\/28 + 4\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from fffkk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 7 = 2*s - 15, 0 = 3*y - 17*s + 249 - 201 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 532224.\nAnswer: 532224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-87)*(-203 + 200).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -80. Let n = v - 31.7. Let w = 0 + -0.1. Sort 0.4, n, w in decreasing order.\nAnswer: 0.4, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 - 8 - 4\/1. Let h(o) = -o**3 + 3*o**2 - o + 4. Let n be h(3). What is the third biggest value in n, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/30 + f**4\/24 - 7*f**3\/3 - 8*f**2. What is the tens digit of d(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307004468 - -0.29?\nAnswer: -307004467.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 23676 and -20719.3.\nAnswer: 2956.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 3, 32, 2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7810411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5.289 + 5\nAnswer: -0.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16a14a (base 14) to base 4\nAnswer: 3002111312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -6\/793 (c) 0.3 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*u**3*z + 2800*l**3*u**2*z**2 - 8*l*u**3*z**2 - 4*l*u**3*z - 4*l*u**2 - u**2*z - 14*u wrt z?\nAnswer: 5600*l**3*u**2 - 16*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2290119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**3 - 4*q - 4. Suppose 0 = 4*p - 3*m - 22, m = 4*p - 0*m - 18. Let f(r) = 4*r**3 + 3*r + 3. Give p*f(d) + 3*l(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or -18.553?\nAnswer: -18.553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89221 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 3.1. Let r = j - -1.1. Let v = -12008\/23 - -522. Which is the second biggest value? (a) r (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 38663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1\/(-1))*3\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpb when three letters picked without replacement from {a: 2, p: 4, j: 4, u: 3, b: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28274 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.8935.\nAnswer: -0.44675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*v + 84*v - 44*v)*(-5 - 6*v**3 - 14 + 20).\nAnswer: -432*v**4 + 72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 96 = 2*s - 3*k, 188 = -2*s - 5*k. Let v = -254\/3 - s. Let p = -0.1 + 0. Which is the nearest to p? (a) -1 (b) -4\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0.01, 1982, -1 in descending order.\nAnswer: 1982, 0.9, 0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 26633?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75632 divided by -4727.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*t + z - 0*z, 0 = 3*t + 2*z + 17. Let i be (t - 22\/(-8))*-4. What is the second smallest value in -2\/3, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -737 and 1996.\nAnswer: -1471052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**3\/2 - 2*i**2 - 2*i. Let j = -115 - -126. Let w(a) = 5*a + 7. Calculate j*b(t) + 6*w(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**7\/168 - s**6\/72 + s**5\/12 + 14*s**3\/3 - 19. Let d(i) be the third derivative of a(i). Suppose d(r) = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 divided by -449339?\nAnswer: -129\/449339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**3 - 9*t**2 - 67. Determine x so that v(x) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124206*p**4 + 4*p**3 + 65*p + 22920.\nAnswer: 1490472*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:03 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4451*0.019\nAnswer: -84.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -t + 4*c, 6 + 6 = 3*t + 3*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x + x**2 - 1 + 0 - 3*x + 13. Calculate the smallest common multiple of u(-8) and 6*1 + 0\/(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(0 + 2 - 4) + 82 - 22 - 12)*(-7 + 5 - 5)*(q - 4*q + 4*q).\nAnswer: -350*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1346, 1\/22, -1.6, -5?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4 - w**2 - w**2 + 6*w + 5*w**2 - 8*w**3 + 0*w**2. Is v(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.96652 tonnes in milligrams?\nAnswer: 74966520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504 by -21266.\nAnswer: -36\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104505302 - -1341?\nAnswer: -104503521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9914212 minutes in nanoseconds?\nAnswer: 59485272000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3614 divided by 3?\nAnswer: 3614\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.30722ms to microseconds.\nAnswer: 8307.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 - 20215*x\/2 + 5921601\/4.\nAnswer: (x - 40283)*(x - 147)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 83, 4 in decreasing order.\nAnswer: 83, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63200 is divided by 104?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*c + 60. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1183\/273 - 388\/(-6). Which is the nearest to -1? (a) y (b) -3 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v. Let x(y) = 5. Let c(r) = r - 4. Suppose -8 + 3 = -w. Let f(j) = w*c(j) + 4*x(j). Give i(f(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -10*w + 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624547 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 -2209.034589 rounded to zero decimal places?\nAnswer: -2209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 107 = 2*w. Let s be -4*(13 - 6 - 5). Let i(a) = -25*a - 178. What is the remainder when w is divided by i(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 5*p - 1. Let g(t) = -10*t**2 + 15*t + 2. Let q(z) = -2*g(z) - 7*o(z). Determine q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(192)*-1 - sqrt(192)))**2 - (sqrt(192)*2 + sqrt(192) + 4)) + 1 - ((5*sqrt(108)*1*-4)**2 + -2).\nAnswer: -42417 - 152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}