diff --git "a/data/dm_maths/full_data/10898_11255.jsonl" "b/data/dm_maths/full_data/10898_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10898_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 6:44 PM and 12:58 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*t + 97 = 0, t + 0*t + 19 = -m. Let g be (3\/2)\/(m\/(-80)). Solve 0 = 4*l - g*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*x + 3*x - 5*x)*(-1 + 1 - 1) + (2*x - 3 + 3)*(-1 + 4 - 4))*(-x + 7*x + 10*x) as n*x + t + a*x**2 and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -10001110010000001010010?\nAnswer: -10001110010000000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -z - 3, 3*a + 3 = 3*z. Let c(u) = -u**2 + 2. Calculate c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 + 11*o + 2. Let c(k) = 5*k**2 + 10*k + 2. Let h(z) = -5*c(z) + 4*r(z). Let j = -13 + 31. Suppose -3*l + 3 = j. Give h(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79828, -319443, -718792, -1277869, -1996668?\n\"Answer: c**3 - 79873*c**2 - 3*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -438272.36 from -874.\nAnswer: 437398.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 455*k**2 - 10*k - 172. Let y(d) = 228*d**2 - 4*d - 85. Let j(c) = -2*a(c) + 5*y(c). What is the derivative of j(u) wrt u?\nAnswer: 460*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2010 and 385741110?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -2\/9, 2, 0.06, -4 in descending order.\nAnswer: 2, 0.06, -2\/9, -4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -11 - (-5 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 10. Let n be (-4)\/18 - (-58)\/18. Let v be (2 - n)*1\/r. What is the nearest to 2\/7 in 4, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 5, p: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-784)\/64*(-132)\/77?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:18 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, -0.57, 5\/172, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p - 60 = -z, 4*z = 3*p - 79. Let a = -7 - -10. Suppose 17 = a*l - 13. What is the remainder when p is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let i(l) be the second derivative of -15*l**4\/4 + 13*l**3\/3 + 3144*l. What is i(y(t))?\nAnswer: -180*t**2 - 52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v + 2*v + (0 - 2 + 3)*(0 + 0 + 2*v) - 14*v - v - 10*v.\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 1 - 3, 2*h = -5*d - 3. Let j be (-1)\/5*-5*0. Sort j, h, 3 in ascending order.\nAnswer: h, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 + -13.4. Let j = 9 + n. Let u be -6*(-3)\/12 - 1. What is the closest to -2 in u, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 851191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25979 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: 30*0.2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 12. Determine o(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -833*k**2 - 1 + 212*k**2 + 204*k**2 - k**3 + 208*k**2 - k + 210*k**2. Let h(p) = -p**3 - 2*p**2 + 2*p + 2. Determine 4*g(m) + 2*h(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*s - 1616 + 50 - 5202 = 0 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 244572*h**3*x**3 + 3*h**3*x + 2*h**3 - 2*h - 376*x wrt x.\nAnswer: 1467432*h**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84168489.\nAnswer: 3, 73, 384331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.66 and 34.6?\nAnswer: 35.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 + 11001000111011?\nAnswer: 11001001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2006 + -2035. Which is greater: o or -30?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6793578488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 3 + 1 + -5 + (-423 - -431)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0\/(-3) - -3. Suppose -8*b + 21 = -h*b. What is the remainder when 18 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047038 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h\/(h**(2\/15)*h)*h)\/(h**(-2\/3)\/h**(1\/3)))\/((h**(-1\/11)*h\/(h\/(((h*h**(1\/2)*h*h)\/h*h)\/h)))\/(h\/h**(-2\/5))**(-13)) assuming h is positive.\nAnswer: h**(-1171\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 4. Let n be z(-4). Let p = -3 - n. Let c = 5 + p. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from nbnnngngbbbgnnbn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*k + 161*k - 352 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/14 (b) -3 (c) -1 (d) -21\/2 (e) -48 (f) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -0.5 (b) -5 (c) 0.5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 3435101?\nAnswer: -3435100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m - 3. Let b = -45 + 52. Let s(j) = 5*j - 2. Determine b*s(d) - 4*n(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqkj. Give prob of picking 2 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1\/5*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 0*f + 0*f**4 + 0*f**3 - 2*f**2 + 0 - 1\/20*f**5. Let j(l) = 2*l. What is p(j(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 975 = 196*l - 185*l, g - 4*l + 0*l = -2*l - 48 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(144))\/(sqrt(1452)*-1*-5).\nAnswer: sqrt(3)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7867 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 1. Let c(x) = -2*x**2 - 3*x - 5. Let v be c(-2). Give w(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -806 - -1148. Calculate the greatest common factor of p and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:28 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + -2 + -1 - (4 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7762*k**2 - 14321*k**2 + 9558*k**2.\nAnswer: 2999*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c + c. Solve -4 = 2*d + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3 - 3543*f**2 + 69960*f - 348300 = 0.\nAnswer: 10, 1161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 + 1 = 3*w, 2*p + w = -1. Let s(a) = -a**2 + 2*a**2 - p - 22*a + 21*a. Suppose -3*v = -2*o + 6 - 5, -2*v + 3*o = 9. Give s(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*d - 15 = 0, -z + 63 = 4*z + 2*d. Let t(x) = z*x**2 - 16*x**2 + 31*x**2 - x. Is t(1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 10*m + 9. Does 24 divide x(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51108440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133304400 (base 5) to base 14.\nAnswer: 13a6b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 13*n + 6. Suppose 2*r - 5*s = -21, 5*r - 4*r - 2*s = -10. Calculate the remainder when 183 is divided by c(r).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 26861407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1094 + -1037. Calculate the smallest common multiple of t and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 - 4*u - 3. Let g(k) = 2*k**2 + 2*k + 2. Let p(t) = -7*g(t) - 4*j(t). Let i = 10 - 6. Let n(z) = z**2 - 1. Calculate i*n(d) - p(d).\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 193693 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 125 divided by -9201\nAnswer: -125\/9201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/162 and 77\/135914.\nAnswer: 11009034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 226646*k. Let b(s) = -2*s**2. What is b(a(n))?\nAnswer: -102736818632*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 108. Let b be t(20). Suppose 0 = -20*z + b*z + 9864. Does 88 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**5\/30 - 7*k**4\/24 + 3*k**3 - 8*k**2 + 35*k. Let l(c) be the first derivative of x(c). Does 15 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 1\/3*a**3 + 6*a - 1\/4*a**4 - 1\/2*a**2 - 1. Let j be p(0). Solve -j*v + 3*v + 2*i = 21, 0 = -5*v + 3*i - 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 = -8*i + 4*i. Suppose 0 = 4*c - 986 - i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -0.02 in descending order.\nAnswer: 6, 4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.79 - -0.21. What is the second biggest value in b, -1, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 - (-59 + 77 + -2)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 15*n + 614. Is r(55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 16 = 0, -l - 1 = -122*s + 119*s - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 3*f + 35. Suppose 0 = -5*n + 5, 0*w = w - 4*n + 2. Suppose w*k = f*k. Solve -v - v + 2 = k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.57 - 0.07. Let g = -3 + 7. Let t = g - 4. What is the second smallest value in 2\/9, t, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 146 = 50 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-365*h**2 - 5*h**3 + 365*h**2 + 22*h)*(-2*h**2 + 2*h**2 + h**2).\nAnswer: -5*h**5 + 22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7159?\nAnswer: 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 + 17 = 0. Suppose -3*g + 6*g + 6 = 0, 64 = 4*z - y*g. Suppose z*a - 16*a = -1477. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99007783 divided by 7\nAnswer: -14143969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -150 times 0.382\nAnswer: -57.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/3 (b) 1 (c) 99 (d) -239 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.4 + -11.2. What is the nearest to 0 in 2, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 16*q**2 - 60*q + 10. Let v = 16084 + -16075. What is s(v)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 112.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 4*q**3 + 0*q**3)*(-5*q + 2*q + q) + (-2 + 4 + 0)*(76*q**4 - 72*q**4 - 223*q**4).\nAnswer: -444*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bede3 - 3?\nAnswer: -bede6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5303*s + 85309 = -184419 - 74967 for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146 + 116 - 5*d**2 + 34*d - 16*d - 17*d to q*d**2 + u*d + h and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14)*360\/(-180))\/((-1)\/(-203))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -524 - -4789\/9. What is the common denominator of t and -50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5904.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(640) + -3*sqrt(90))\/(sqrt(242)*2 + sqrt(98) + sqrt(98)*1).\nAnswer: 23*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + i - 1. Let r be 5 - 1 - (17 + -14). Let g be r\/2 - (-11)\/22. Give j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, q: 1, t: 3, n: 1}. What is prob of sequence qjl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20*((-9)\/(-5) - -1). Suppose f - 4 = 2*s, 5*f - i = s - 3*s. Find the third derivative of -f*o**2 - 12*o**2 - 3*o**6 + 4*o**6 + 29*o**2 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609857998.\nAnswer: 2, 101, 193, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45556 and 35?\nAnswer: 227780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14339\/80 + 1833\/10. Let b = 7103\/6 + -1194. What is the common denominator of b and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 328.998725 + -329. Round f to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/5)\/(1 + -3). Suppose k = -2*u, -7*q = -2*q + 5*u + 25. Find the common denominator of 62\/9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13 - (5 - 15))*(-1)\/6. Let c(m) be the second derivative of 0 + y*m**5 + 0*m**4 + 13\/6*m**3 + 3*m + 0*m**2. Find the second derivative of c(r) wrt r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12432 and 1132278?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (3 - 108\/16). Factor -o*f**2 + 1\/4*f + 1\/2.\nAnswer: -(f - 2)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 1. Give k(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:35 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 1. Determine l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4207, -4206, -4205, -4204?\n\"Answer: q - 4208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + 0. Suppose 15 = -9*u + y*u. What is the greatest common divisor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by (-240)\/(-360) + 43\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 10*t**5 - 275*t**4 + 1995*t**3 - 2530*t**2 + 800*t = 0.\nAnswer: 0, 1\/2, 1, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 377 - 37 = -5*u, 0 = 3*r - 2*u - 1225. Let z(n) = 4*n + 81. Let t be z(13). Suppose -i + k = -t, -3*i = k + k - r. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27423 is divided by 27401.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (299\/91*7)\/((-76)\/(38\/(-1)))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -88, 3, -4, 4, 1\/4, 9.52 in increasing order.\nAnswer: -88, -4, 1\/4, 1, 3, 4, 9.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41011*h**2*t**3 - 114*h**2*t - 408*h*t**2 wrt t?\nAnswer: -246066*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/6*(0 - -2). Let x = i - 8. Let t(f) = -5*f**3 - 2*f**2 - 2*f - 1. Let h be t(-1). Let w(c) = 4*c**2. Let y(q) = -3*q**2. What is h*w(z) + x*y(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113 or -62718?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3043170 divided by 23409.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*u, -4 = -w + 3*u. What is the tens digit of 102\/w - (-2)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 7*c = 4*z - 48 - 4, -40 = 162*z - 136*z + c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/35 and 57\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 - 73*w**4 + 20830*w**3 - 260972*w**2 + 951576*w - 711360 = 0. Calculate w.\nAnswer: -190, 1, 6, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10162 - -10153. Which is the biggest value? (a) -4 (b) 0 (c) -3 (d) i (e) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24097*n**2 + 87*n - 93?\nAnswer: 48194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 59. Let j = t + -12. Let i = 10.986 - j. Round i to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.344 times -3?\nAnswer: 10.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347 + -346.9157. Round x to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(1\/52))**(1\/46)*(r**(2\/3)\/r)**(-14\/15)*(r*r\/r**(-2\/7))**7 assuming r is positive.\nAnswer: r**(1755683\/107640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430903524?\nAnswer: 2, 3, 73, 491899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 180560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1120186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241726005 to the power of 1\/3, to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*d**3\/2 + 2239*d**2\/4 + 6435*d\/4.\nAnswer: -d*(2*d + 5)*(67*d - 1287)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2*c - 3. Let p be u(-4). Calculate the common denominator of (-35)\/p - 1\/(-4) and (-2)\/(-5) + (-117)\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6000*f**2 + 2*f**3 + 6010*f**2 - 6*f**3 - 2.\nAnswer: -4*f**3 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7442 + -7445. Sort -2, 36, 0, 3, d.\nAnswer: d, -2, 0, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 - 5*m - 4. Calculate the remainder when 237 is divided by d(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(10)\/sqrt(2)*-4)*-3*-4.\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422, -531, -738, -1067, -1542, -2187, -3026, -4083?\nAnswer: -5382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.187 + -0.187. Let v = -3.2 + 3. What is the closest to 1\/5 in f, -2\/15, v?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 2) + 49 + 2\/(-2). Let a = r + -25. Calculate the remainder when a is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48827 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -76*w + 1221 + 294, 12*w - 3*w = 3*z + 165 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/(-18005))\/(27\/1617). Let f = 1\/277 + r. Let z be 0\/(1 + 1 + 0). Put z, f, -1 in descending order.\nAnswer: f, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12530 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-1)\/13)\/(6\/3)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908*b - 5 + 5 + 991*b.\nAnswer: 1899*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -5, 2\/7 in decreasing order.\nAnswer: 4, 2\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/7 + 1562*a**4\/7 - 85320*a**3\/7 - 700922*a**2\/7 + 1651561*a\/7 - 123840 = 0. What is a?\nAnswer: -9, 1, 64, 1505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200 - -75. Let o = 271 + u. Suppose 340 = 9*n - o. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-36)\/6*(-1540)\/308?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 2*a**2 + a. Suppose 0 = 5*c + d - 3 + 1, 9 = -3*d. Let u be j(c). Solve 2*g = -u*w - 16, g = -3*w - 14 - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 + 110 - 155*i**2 - 306*i**2 - 2*i + 464*i**2)*((-2*i - 1 + 1)*(-3 + 0 + 1) - i - 3*i + 5*i) as s*i**4 + r*i + j*i**2 + g*i**3 + n and give r.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.2671262 rounded to 2 decimal places?\nAnswer: 313.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 2:44 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 - 0.04. Let a = t + -0.14. Round a to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w + 1. Give g(-12).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-5)*j)**(2\/65)\/(j**(-5)\/j**(-2\/43)))**48)**(2\/77) assuming j is positive.\nAnswer: j**(1296096\/215215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z**(1\/2))**(-34))**26)**12)**(-2\/9) assuming z is positive.\nAnswer: z**(17680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1686204\/155 - -10879. What is the common denominator of o and 58\/35?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 27*v**2 - 82*v**2 - 100*v**2.\nAnswer: -153*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 108*q + 33. What is u(53)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {m: 5, x: 1, f: 4, w: 3, a: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -562 - -585. Suppose 24*s - 639 = a*s. What are the prime factors of s?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1043*z + 78211. What is l(75)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2\/9*w**3 - 4\/3*w**2 - 4\/3 + 22\/9*w = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0 + w**2 + 5*w - 3 + w**2 + w**2. Does 18 divide n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 670 - -7?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10984 + -10981. Let a(j) be the first derivative of -1\/3*j**o + 0*j + 31 + 0*j**2. Let q(b) = 16*b**2. What is a(q(t))?\nAnswer: -256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30383\/23 + 2\/4*10 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 187*s**3 + s**2 - s. Is o(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8268 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*f - h, 2*f + 5 = -3*h - 0*h. Suppose -2*z = 5*l + 11, 0 = z + 4*z - f*l + 42. Let i = -3 - z. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 3\/104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243 and 936.\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195170*y + 195285*y = -2587 - 978 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 0 - 6*d**2 + 0*d - 7 + 0*d**3 + d**3. Is w(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/1*10\/(-15). Suppose -64 = -4*w - n, -a*n + 3*n + 32 = 2*w. Solve -w = 6*v - 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -46. Let n be (135\/q)\/((-2)\/(-4)). Let b(x) = -n*x - 4 + 6*x + 8*x. Give b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - i = -93, -1938*i + 100 = -2*k - 1950*i for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -30*w - 591. Determine f(-22).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247594 - -35653345\/144. Let g = 25\/16 - f. Calculate the common denominator of g and (-127)\/22 - (6 + (-75)\/10).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23446 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-3*1\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1. Let i(v) = -v**2 - 2. Let l be 168\/(-24) + 4\/(1 + 3). Give l*m(d) + 3*i(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 11*w - 28. Let l be t(7). Put -3, -2\/3, l, 0.3 in descending order.\nAnswer: 0.3, l, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -62266.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 3*f**2 - 339*f - 11. Calculate the remainder when 466 is divided by z(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1196 + -635. What is the greatest common divisor of d and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-4)\/(-5)*1\/2. What is the biggest value in r, -2\/11, -5, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s - 79*s - 100 = -42*s + 956 for s.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.36766 to two decimal places.\nAnswer: 24.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 + l + 2. Let s be w(0). Let v be (-153)\/2 - (-1)\/s. List the prime factors of v\/(-10) - (-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.007141 - -43.046859. Let x = -0.054 + p. Is 1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, -5, 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*(-2)\/(-16) - 123\/(-20) and -65\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 a factor of 13321755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17*f**3 - f**2 + 2*f + 2. What is the smallest common multiple of 48 and w(-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18456 + -18460. Which is the closest to 1? (a) y (b) -48 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10453 (base 8) to base 11.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*g = 15920, g + 1 = -3. Suppose 11*j = 3*j + c. Suppose j = 8*b - 46. 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: Is 31 a factor of (101\/4 - 2)*(-5 + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99737, -99764, -99825, -99938, -100121?\n\"Answer: -3*f**3 + f**2 - 9*f - 99726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/((sqrt(3)*-2 - sqrt(3)) + sqrt(3)))**2 + 2*sqrt(11) + 5.\nAnswer: 2*sqrt(11) + 31\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7272993 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + -0.6. Let v = -0.99445 + -0.00555. Which is the biggest value? (a) t (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*f - 12. Let y = 18 + f. Which is smaller: y or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - 16\/(-9))\/((-6)\/57) and (-1)\/(-2) + (-158)\/(-32)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8689*h - 26423*h + 8632*h + 5*h**2 + 8061*h + 4690 with respect to h.\nAnswer: 10*h - 1041","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*c**2*m*n**2 - 2*c**2*n**2 + 3*c*m*n**2 - c*m - 36*c*n**2 - 5 wrt m.\nAnswer: 27*c**2*n**2 + 3*c*n**2 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcs when three letters picked without replacement from hxxxtkxshsxxssxcktx.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 divided by -1501423?\nAnswer: 194\/1501423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/57, 4, 2\/11, -92?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13013.86 rounded to the nearest one hundred?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -37*s**2 + 9*s - 1. Let i be a(4). Let b = i + 911. Let n = b + 99. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 1. Let i(g) = -2*g**2 - 9*g - 6. Let h be i(-3). Let m(f) = -f**2 - 1. Let r(c) = -6*c**2 - 5. Let p(a) = 2*m(a) - r(a). Give h*l(s) + p(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*v**3 - 24*v**2 - 950*v - 900 = 0. Calculate v.\nAnswer: -5, -1, 90\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 213 or -470\/673?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14022144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - 2.12. Let x = -1.96683 - 0.03317. Which is the closest to d? (a) x (b) 2\/3 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 2 = 0. Let h = o + 1. Suppose -120 = -2*t + h*k + 3*k, k = 5*t - 323. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2 = 5*z, -3*y - 7*z = -6*z + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 2312?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121218 and 108.\nAnswer: 2181924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11248280.\nAnswer: 2, 5, 281207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 5. Let b(r) = -6*r**2 - r + 6. Suppose -2*q = 4*l, 3*l - 56*q - 21 = -54*q. Suppose -4*n + 40 = 6*n. What is l*b(c) + n*o(c)?\nAnswer: 2*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 5*f + 5. Suppose 2*x - 597 = -f*k, 6*k - 2*x - 355 = 3*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 24*b**2 - 3104*b - 40714. Calculate y(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128509*u = 128643*u - 2278 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 12272827.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72523.62l in millilitres?\nAnswer: 72523620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 132322?\nAnswer: -132320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 + 12*z**2 + 25*z + 10. Let u be w(-5). Which is greater: u or -439?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/5 and (9\/(-6))\/(21\/(-10)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*q + 30*q - 21*q + (-1 + 4 - 2*q + 2)*(-2 - 1 + 0).\nAnswer: 38*q - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 429432.\nAnswer: 429432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*x**2 + 26*x**2 - 44*x**2 - 8*x.\nAnswer: -118*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18587.1963 rounded to the nearest ten?\nAnswer: 18590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(112)*5 - sqrt(567)\/sqrt(9)) + 4 + -4*(sqrt(7) + -1 + sqrt(7)) + sqrt(7) + (sqrt(7) + 1)*-2 + 3)**2.\nAnswer: -1587 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8519216*x**2 - 31954848?\nAnswer: -17038432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/11571126 and 37\/105517649?\nAnswer: 4431741258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*b + 5. Suppose -y + b*y = 84. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 32*o**2 - 2*o - 61. Let a(n) = 2*n**3 - 6*n**2 - 5*n - 2. Let g be a(-2). Let c be q(g). Solve c*l = -0*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-15 + 10 + 6 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, h: 2}. What is prob of picking 1 a and 1 h?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6380133.5 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -5) + 15 - (0 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1670, -1669, -1676, -1697, -1738, -1805, -1904, -2041?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31134, 62270, 93408, 124548?\nAnswer: 155690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221032, 221031, 221030, 221029?\nAnswer: 221028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -91, -95, -101, -109, -119, -131?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2997 and 17\/32893?\nAnswer: 2664333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/9)\/(-3 + 10\/3). Let b(u) be the first derivative of 1\/18*u**3 + 1\/6*u - 1\/6*u**2 + p. Determine z so that b(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006164 to 6 decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:56 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 178.59844 and 1.\nAnswer: 178.59844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 628559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 62 = -22. Let i(m) = -10*m - 70. Let s be i(w). What is the hundreds digit of ((-179)\/(-2))\/(s\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 4.781 (c) 1.975 (d) -1\/5 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/13 + -55\/26. Let r = -10.08 + 0.08. Let q = r + 5. Which is the third biggest value? (a) 4 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -9. Let w = -4 - d. What is the first derivative of -3 - 3*g + 5 + w*g wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 k when three letters picked without replacement from {k: 2, r: 1, o: 1, g: 1, x: 1, b: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:10 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*(h*h\/h**(-3\/7))\/h*h))\/(h*h*h*h**(-1\/2)*h))\/(h\/((((h\/h**(-1))\/h)\/h)\/h)*h\/(h*h\/h**6)) assuming h is positive.\nAnswer: h**(-195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 938321.6nm?\nAnswer: 0.09383216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9767*i**2 + 7*i - 9750*i**2 + 21*i + 37*i.\nAnswer: 17*i**2 + 65*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6818 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 = 1. Let w(n) = n**2 - n - 3. Let h(f) = f**2 - 2*f - 3. Let c(q) = r*h(q) + 3*w(q). Calculate the remainder when 66 is divided by c(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - 16 - -7) - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/19 - 472*i**3\/19 + 41772*i**2\/19 - 1643032*i\/19 + 24234722\/19 = 0. Calculate i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1331779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12228443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y + 32*y + 87 = 0. Let j be 4077\/99 + (-48)\/22 + 2. Suppose -j*g + 42*g = 9. Calculate the remainder when y is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2167997080?\nAnswer: 2, 5, 17, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -0.6. Let z = -1668.6 - -1666.6. Which is the closest to s? (a) -1\/4 (b) z (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 9 = -14*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5aa (base 16) to base 10\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 7*k**2 + 171*k - 1209. Give l(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let f(o) = 3*o - 9 + 3 - 12*o - o**b. Let u be f(-6). What is the greatest common divisor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 11*v + 29. Calculate i(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n + 227 + 2474 = 17 - 2656 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, -36, -160, -406, -816?\n\"Answer: -7*t**3 + 2*t**2 - t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92522 (base 10) to base 16.\nAnswer: -1696a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(800))\/sqrt(10).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 2*q - 31*q**2 - 198 + 106.\nAnswer: -31*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 2*f - 1 - 187*f**3 + 0 - 2*f. Is z(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 20.142, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 23 + 11 = 0, -3*j = 3*i - 15. Solve -i = 9*u - 35 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4763?\nAnswer: 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 556. Let u(d) = -4*d - 535. Give 6*u(b) + 5*z(b).\nAnswer: -14*b - 430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (250\/1000)\/(18\/(-16))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by 4\nAnswer: -201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**3 + b**2 - b. Let x be o(1). Let u(l) = 2 - 6 + x + l**2. Let v(r) = 0 + 0 + 3*r. Give u(v(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 50972670300 - 5\nAnswer: 50972670295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, -43230, -78, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36044454 by 626.\nAnswer: 57579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/23356 and 6\/75527465?\nAnswer: 302109860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 50.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 112824583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 0*z**2 + 7*z**2 - 3*z**2 to the form o*z**2 + q*z + g and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(-3*sqrt(128)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/133 + 4\/(-14). Let o = -20201.8 - -20201.3. Which is the nearest to -5? (a) i (b) 5 (c) o (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.6 and 212079?\nAnswer: -975563.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171 - -661\/4. Let z = -6463\/1320 + -9\/440. Let l = z + m. Find the common denominator of l and -41\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3579 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 15*j**4 + 74*j + 61. What is the derivative of f(k) wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 6*f + 170. What is the greatest common factor of 425 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9607917 hours to microseconds.\nAnswer: 3458850120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138548.\nAnswer: 2, 19, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 - 48*k - 4. Let m(c) = 5*c**2 - 48*c - 3. Let h(g) = 3*b(g) - 4*m(g). Let h(l) = 0. What is l?\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 1311 + 1312 + 1306 - 3929.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 4*f**2 - f - 2. Let k be x(3). Let h(c) = c**3 + 39*c**2 - 80*c + 85. Let s be h(-41). Suppose -21 = -4*v - 9. Solve -v*u = -k*u - s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7229465684?\nAnswer: 2, 7, 36885029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let k(m) = 37*m - 257. Let y be k(7). Let o = 5 - 8. What is the smallest value in t, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/5 - -4)\/(2\/(-20)). Let n = 8 + z. Suppose -2*y - 1710 = -n*g - 632, -5*g + y = -1352. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -424632 divided by 8166?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaoyhhohaaoyyooohhoo. Give prob of picking 2 a.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44.2 - 50. Let l = -51 + 45. Let b = l - t. What is the third biggest value in -2\/13, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -130679 (b) -0.6 (c) -0.5 (d) 3\/4 (e) -1\/7 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 10*n + 159. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 62*m - 87*m - 12*m**2 - 14 + 39*m + m**3. What is b(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:41 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*c**6 + 10*c**5 + 13*c**2 - 3*c - 8 wrt c.\nAnswer: -4560*c**3 + 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1567582 (base 11) to base 2.\nAnswer: -1010001100111111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2529785 - -5440215. Round a to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-6*p + p + 3*p) - p - p + 0*p - 4*p - 3*p + 4*p - 21 - 1 + 20 + 2*p as b*p + s and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -262 (base 9) to base 8\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 9*p - 8*p + 13, -6*p + m - 78 = 0 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/((-5)\/(-90)). Suppose 46 = 4*c + b. Solve 0 = 3*a + c - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -88, 2\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 - 17035*c**2 + 19623*c**2 + 4 + 26 - c**3 + c**3 + 107*c wrt c?\nAnswer: 6*c + 5176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l - 2*l + 9*l - 6*l + 246 - 2 to n*l + d and give d.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124497 = -32*x - 123697 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -605062 and 0.2.\nAnswer: -121012.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let z(l) = l**2 + l**2 + 6*l**2 - 3*l**2. Determine n(z(o)).\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38595276 to the nearest integer?\nAnswer: 6213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 - 162. Put 32, 0.2, c, -1\/4 in decreasing order.\nAnswer: 32, c, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvtt when four letters picked without replacement from xvvtxvxvxt?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 5 (c) -7\/3 (d) 0.62 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1049 and 8?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 136 = -4*m, 5*m = 2*m + 5*b + 108. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let l = 3 - o. Let h be -3*2*l\/(-20). What is the smallest value in h, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -50 (c) 590\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 833.63 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(9\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 0*i - 2*m + 25, m = 2*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/47862 and 61\/34.\nAnswer: 813654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136580 to the power of 1\/2, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**2 - 3207336*b + 857250351408 = 0?\nAnswer: 534556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13667*s**3 - 9156*s**3 - 4502*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234200 (base 8) to base 4.\nAnswer: -103202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y. Let m = 1 + y. Let i be (13\/m)\/((-2)\/(-14)). What is the highest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = 37. Let v(b) = 2*b**2 - 34*b + 175. Calculate the remainder when v(6) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 61, 147, 279, 463?\n\"Answer: k**3 + 14*k**2 - 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19774*h**5 - 4*h**2 + 157 wrt h.\nAnswer: 1186440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74491 * 3.\nAnswer: 223473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 10 (b) -2 (c) 1380 (d) -2\/3 (e) -138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) -1\/4 (b) -2\/19 (c) 0.5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/78 + 14\/84\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11266 - 11270. Let q(z) = 12*z - 9. What is q(s)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 434142 + 236?\nAnswer: 434411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -23836.1499 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1882 times -7.31\nAnswer: -1.375742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -18) + (-42 - -15 - -9) - -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603 = -80*u + 145*u + 136*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22141300, -44282586, -66423860, -88565122, -110706372, -132847610, -154988836?\nAnswer: -177130050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 4*c**2 + 2. Let f be w(-4). Suppose -3*z - 2*z = -f*s + 9, 5*s + 3*z = -24. Let r(a) = 12*a**2 + 5*a + 12. What is the tens digit of r(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/3))\/(l\/(((l\/((l*l\/l**1*l*l)\/l*l))\/l*l*l)\/l)))**(-31)\/((l\/(l*l**(3\/5)))\/(l\/(l*l**3))*(l*l*l**5\/l*l)\/l**(-5)) assuming l is positive.\nAnswer: l**(559\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195 - 321. Let w = f + 126.2. What is the nearest to -2\/7 in w, 3, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1443, -1436, -1433, -1434?\n\"Answer: -2*x**2 + 13*x - 1454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13861298 less than 13861298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5068000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**4*y)))\/y*y*y**1*(y**(-2\/3))**(1\/7))**(4\/13) assuming y is positive.\nAnswer: y**(496\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 13*x - 15 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 75 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 33\/23, -0.114, -1\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v + 6. Let j(m) = -47*m - 25 + 16*m - 21*m + 32*m. Let a be 0 - (0 - (-1 + 26)). Calculate a*b(o) + 6*j(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7790 = 718*j + 8724 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 425\/47 less than 9\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 0. Let z = n - -5. Find the second derivative of 3*k - k + k**2 - z*k - 2*k**2 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:55 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*m + 31804 + 452 = 0. Which is smaller: 1733\/6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -9. Suppose 0 = -60*t + 65*t - a. Let g be -2 + -1 + (-4)\/4. Sort g, t, 5 in decreasing order.\nAnswer: 5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (-169056)\/(-3132) - (-8 - (-48)\/(-12)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -853, -1168, -1483, -1798, -2113, -2428?\nAnswer: -2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-32)*(-4)\/164. Let w = 11483\/3936 + h. Find the common denominator of ((-2)\/(-12))\/(21\/(-249)) and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**5\/20 - 13*g**4\/12 + g**3\/6 + g**2\/2 - 13*g - 15. Let z(h) be the first derivative of t(h). Is z(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 6, -2, -39, -4 in decreasing order.\nAnswer: 6, -2, -4, -39, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8902, -21, -4, -2 in ascending order.\nAnswer: -8902, -21, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2 - 5\/2*o**2 + 0*o + o**3 + 1\/4*o**4. What is the smallest common multiple of q(-4) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*r**3 + 551*r**3 - 187*r**3 - 34*r**3 - 198*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1619?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -14. Let g = -4.9 - d. Let o = 0.1 - 0.1. Which is greater: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j**3 - 7*j - 4*j - 2393 + 11*j + 2393.\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41574, -41570, -41556, -41526, -41474, -41394?\n\"Answer: d**3 - d**2 - 41574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -110, -198, -354, -584, -894, -1290, -1778?\n\"Answer: -t**3 - 28*t**2 + 3*t - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 91.7. What is the third biggest value in 0, 4\/7, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -102. Suppose 63*q + 42 = 69*q. What is the greatest common factor of a and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -3, 2, 22 in decreasing order.\nAnswer: 22, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5.7 (b) 10 (c) 0 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 9\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 84960?\nAnswer: 424800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174991, 174987, 174979, 174967, 174951?\nAnswer: 174931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230127291089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-seven quarters of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (2*sqrt(117) - sqrt(117)))*2 - -1*-2*sqrt(117))\/((sqrt(72)\/sqrt(2))\/sqrt(4)*-2).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -445 + 451. Calculate the greatest common factor of i and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.671105 decades?\nAnswer: 56.71105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5487 - -132887283\nAnswer: 132881796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 15*y**2 + 26*y - 60. Let s be l(-16). Let i = 2198\/3 + s. Which is the closest to i? (a) -5 (b) -2 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = w - 122, -184 = 4*d + 4*w - 0*w. Let f be ((-4)\/(-14))\/((-6)\/d). What is the biggest value in -5\/2, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/29433 + 1501039\/647526. What is the common denominator of 1 - (166\/12)\/(-1) and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -118. Let b be (-806)\/(-186) + 1 + f\/6. Let t be (-2 - -4) + 5 + -4. Solve 2*a - 5*a - t*g = -15, 4*g + b = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 0*m**4 + 54*m + 73\/6*m**3 + 0*m**5 + 0*m**6 + 0*m**2 + 1 + 4\/7*m**7. Find the second derivative of c(j) wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 3, e: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 13. Let m be w(-13). Suppose -4*s + 9*s - 195 = m. Calculate the remainder when s is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4882, 0, 3 in descending order.\nAnswer: 3, 0, -0.4882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 75277901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 9 + 7. Suppose -2*y + 26 = -2. Suppose t = -4*i + y. Solve 2*u - i = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128625, 257266, 385921, 514590, 643273, 771970, 900681?\nAnswer: 1029406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.3 - -161.3. Let t be (-3)\/(-2)*-2 - (-532)\/196. Put c, 0.2, t, 3 in increasing order.\nAnswer: t, 0.2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.056 and -6.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 4. Is 2 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -5\/247 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-275)*-11 - (-6)\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7179198?\nAnswer: 2, 3, 13, 92041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 2*d**2 - 4*d + 1. Let v(r) = 2*r**3 - 3*r**2 - 3*r. Give -4*v(i) + 3*z(i).\nAnswer: i**3 + 6*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2090598304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2540, 2525, 2504, 2471, 2420, 2345, 2240, 2099?\n\"Answer: -h**3 + 3*h**2 - 17*h + 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 6*y + 6. Let b = -131 - -1573\/12. Let v(s) be the second derivative of 0 - 1\/2*s**2 - b*s**4 + 1\/6*s**3 + 3*s. Determine -a(d) - 6*v(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 276*a. Let c(d) = 2*d. What is t(c(l))?\nAnswer: 552*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 71 = 3*k, -8*h = -10*h + 2*k + 32. Suppose -h*m = -7*m - 90. Solve -7*p - 5 = m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 2023?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*i - 23746*i**3 + 23744*i**3 + 64 to w + n*i + r*i**2 + u*i**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -39. Let o = 0.1 + -0.03. Let v = o - -0.03. What is the smallest value in i, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 56. Suppose r - 300 = -3*r - 2*j, 4*r - 22*j - 348 = 0. Calculate the remainder when r is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/14 - 2)\/(24\/16)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:17 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 + 6*l**2 - 3*l**2)*(-424522 + 424522 - 5807*l) in the form b + t*l**3 + c*l**2 + a*l and give t.\nAnswer: -17421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353335739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-13 - (-23 - (13 - 8 - 10))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 66087, 3, -6, 1 in decreasing order.\nAnswer: 66087, 3, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/10582255?\nAnswer: 2\/10582255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(-2736)\/9576\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-24))\/(n\/(n**23\/n)*n*n*n))\/((n\/(n*n**(1\/3))*n*n)\/(n*n\/(n*(n*n*n**(-2\/17))\/n))) assuming n is positive.\nAnswer: n**(-334\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d + 11. Suppose 21*a + 251 = 83. Let l(g) = -2*g - 4. Determine a*l(j) - 3*t(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 - 12*v - 1746. What is the hundreds digit of h(37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 3 + 12 + 12 - 5 - 7*t**3 - 8 to the form j*t**2 + v + z*t**3 + c*t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 8*b - 7. Let l be w(7). Let r = 1 + l. Let k = -3 + 5. Is k < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 - c + 3. What is the units digit of g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2602192 and 598224?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 22 = -58. Suppose 0 = -2*z + i - 6. Suppose 0*a - 620 = -3*a - 5*b, z*a + b = 1004. What is a rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2314*l**3*p**3 + 1902*l**3 + l*p**3 - 17267*l + 3813*p**2 wrt l?\nAnswer: -13884*l*p**3 + 11412*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22473069.27 to the nearest ten thousand.\nAnswer: -22470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4 = 4*x, -2 = 6*x - x + 2*h. Suppose 3*a + 0*a - 144 = x. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u + 476. Let y(g) = 5*g + 4. Determine -4*q(p) - y(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 253372 (base 8) to base 15\nAnswer: 1b037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 1, 138, -2, 10, 24 in decreasing order.\nAnswer: 138, 24, 10, 9, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 4*t**2 - 15*t - 4. Let h be k(5). Let o be (h\/63)\/(2\/1*1). Are o and 0.14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -9. Let u(v) = v + 0*v**o + v**2 - v**3 - 8 + 6. Suppose 3*y + y - 4 = 4*r, 6 = -2*r. Determine u(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142904441 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5330\/(-13325)*15\/252.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7994, 16851, 25708?\nAnswer: 34565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqe when three letters picked without replacement from {e: 1, q: 11, n: 3}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q**3 + 29*q**3 - 74*q**3 - 36*q**3.\nAnswer: -115*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 5*d + 113. Let s be l(0). Solve -107 - s = -44*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, -2 in ascending order.\nAnswer: -2, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - j**3 + 0*j + j**3 + 28*j**3.\nAnswer: 28*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51461275 or -51461274?\nAnswer: -51461274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 2*z. Let n be (-3 + -1)*3\/(-4). Let g be a(n). Suppose 0 = -5*y - d + 15, 4*y = -0*d + 3*d - 7. Solve -y + g = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewdwneweevgw. What is prob of picking 1 e and 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 16*t = 3*u - 2264, 2*u + 4496 = 2*t. List the prime factors of t.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9045697963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -4*n + 26. Find the third derivative of -8 - n - 5*v**2 - 85*v**4 + 11*v**2 wrt v.\nAnswer: -2040*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.12267 - 4060562\nAnswer: -4060563.12267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*(-3)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-309)\/(-22866)*-407*(-70)\/(-11)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 136842*u + 273696.\nAnswer: -3*(u - 2)*(u + 45616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*w + 2*r + 8, 5*w + 12 = -3*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 58 - 62. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37440\/(-59280)*19\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(5))\/sqrt(6)*-2 - (-1 + sqrt(343)*-2)**2.\nAnswer: -1373 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04783 to 3 decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 117616?\nAnswer: 1293776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7978, 15873, 23750, 31603, 39426, 47213?\nAnswer: 54958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229 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: Work out -1279 * -184.\nAnswer: 235336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 112 = -6*g. Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/2810288 and -37\/52156.\nAnswer: 47774896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 94866?\nAnswer: 3320310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - 6*g**4 - g**4 + 74*g**4 - 931*g**4 - 321*g**4 + (g + 2*g**2 - g)*(-g + g - 2*g**2).\nAnswer: -1187*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38\/69 - -1045\/46. What is the common denominator of r and -50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z + 2. Let k be r(2). Let b = -4344\/13 + 334. Is b at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i - 65*i = -4*t + 10, t + 2*i = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -223791 (base 11) to base 8\nAnswer: -1267744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253711 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = -3*u, -5*u - 3*r + 21 = -2*u. Sort 1, 11, u in ascending order.\nAnswer: 1, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 9 = -2*a. Put 2, a, -2 in decreasing order.\nAnswer: 2, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 12*z + 3. Let l be h(13). Let q = l - 11. Solve -45 = -5*s - q*i, 0 = -5*s + i - 11 + 32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20430 and 4455?\nAnswer: 2022570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u - 20 = 0. Let t be u\/22 - (-53)\/11. Suppose -31 - t = -9*g. Solve 0 = -p - 6 + g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/4216 and 29\/59024.\nAnswer: 59024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4. Let l be j(0). Suppose l*g - 78 = 70. Suppose 0 = -3*c - 3*a + 66, -a + 38 + 3 = 2*c. What is the remainder when g is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10583*m + 10508*m = -1575 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 85\/(-102)*-3 - 2506\/4. Sort -2, 5, o, 3, 0 in decreasing order.\nAnswer: 5, 3, 0, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 * -126.7\nAnswer: -3801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (5 - -1) - (-13 + (12 - 10) + 111)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 - -1297\/7. Let p = 0.01 + 3.99. Let f = p + -5. Which is the closest to t? (a) -1\/4 (b) f (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14 + 4*(-222)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 4*g + 248925. Suppose 32*a + 4793 - g = 0. What are the prime factors of a?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5355 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/4 + x**3 - 61*x**2 + 4*x + 1. Find the first derivative of c(r) wrt r.\nAnswer: 6*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125? (a) 1\/2 (b) 727 (c) 8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**2 - 10. Let h(u) = -71*u - 76*u - 67*u + 215*u. Give h(d(w)).\nAnswer: -7*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2193\/(-204) + 11)\/(2\/(-2)). Let l be -6*(-1 - (-2)\/6). Which is the biggest value? (a) -1\/2 (b) l (c) t (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -657230642.999687 - -657230991. Let j = h - 348. Round j to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1035 and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*-3 + (-1322)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250550474 + 250550474 - 5*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7828005 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81434 rounded to 3 decimal places?\nAnswer: -0.814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -61 - -93 - -75?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 5*l**2 - 2*l - 5. Let v be 0*(-1 - (-8)\/12). Let p be (-7 + 12)\/(1 - v). Calculate f(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627719081 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + 3.5. What is the biggest value in -4, -4\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + -12 + (-23 - -1 - -14)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2477 is divided by 156.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millennium in decades?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2525 - 2?\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 42 = -2*u, 5*u - s = -4*s + 113. What is the remainder when u is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-10)\/(-4))\/(218\/5232).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d**4 + 5532*d**2 + 49180.\nAnswer: 16*d**3 + 11064*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383499244 to the power of 1\/2, to the nearest integer?\nAnswer: 37195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510337695.\nAnswer: 3, 5, 7, 99191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3362 + 3361. Let u(p) = -4*p**3 + 5*p**2 - 5*p + 1. Let o(g) = -g**2 + g. Let r be 4 + -2 - 3 - 4. Give h*u(k) + r*o(k).\nAnswer: 4*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 281 - 265. Suppose -2*o + 6 = 2. Solve -a = -3*f - 7, 5*a = -t*f + o - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 16*r - 8149 + 7843 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*w - 1175 + 947 - 1746 = 33*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10 - ((-44)\/130 + (-390)\/845)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29296.3945 times 1?\nAnswer: 29296.3945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 16. Let h = 17.82 + u. Let t = h - 0.12. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/6, -42300, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230*b**2*h + 5*b**2 - b*h - 2*b + 13 wrt b?\nAnswer: -460*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 5, f: 3, k: 3, s: 1}. Give prob of picking 2 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -0.1, 18, 0.5 in decreasing order.\nAnswer: 18, 8\/5, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Suppose -3*n + 11 = 2. Suppose 5*h - 33 + n = 0. Let k(b) = b - h*b - 4*b - 3*b. Give k(m(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 30. Suppose -9 + s = o. Let b be o\/(-7) + 315\/49. Which is smaller: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000100132494 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, k: 12, o: 2, i: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -450 less than 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1813.3 (b) -1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/34 - (-16)\/136. Let f = -16\/57 - 1\/19. Which is the nearest to w? (a) -1\/8 (b) f (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -5*i**5\/12 - 4*i**3\/3 - 25*i**2\/2 - 2. Let d(k) be the second derivative of u(k). Differentiate d(z) with respect to z.\nAnswer: -50*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 64. Let v be 2 - z\/((-78)\/7799988). Round v to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6484 and -99\/10.\nAnswer: 32420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/10 - 10877*v\/10 - 314226 = 0. Calculate v.\nAnswer: -10580, -297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1017, -973, -931, -891, -853, -817?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -4.6. Let n be (-1 + 2 - -20)\/((-2)\/(-10)). Suppose 97*q - n*q + 40 = 0. What is the nearest to -0.1 in q, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a factor of 439379616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 7*z + 18, -2*z - w - 193 + 190 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (16 + -17) - (-6 + 0 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*(0 + sqrt(108) - sqrt(108)) - (sqrt(108) + 2 - sqrt(108))*1)*6)**2 + -3.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(243) + -1 + sqrt(243) - sqrt(243))).\nAnswer: -4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855*h + 33876 = 607 - 15676 + 1920 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30426 + -30425.884. Put p, -0.1, -10 in ascending order.\nAnswer: -10, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/2 + 1575*m**2\/8 - 1781*m\/4 + 99 = 0. What is m?\nAnswer: -396, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u + 114*u = 51*u - 3518 + 17356 for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100111000001011 - 10111111001?\nAnswer: -11000101010000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26051799 * -30.\nAnswer: 781553970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (7 - -1) + 64\/416 + (-214104)\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9017057 millilitres?\nAnswer: 0.0009017057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*(-8)\/224)\/15?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29065 - -29064. Let v = 0.2 + -1.2. Let t = v + 2. What is the closest to 1 in u, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 402491?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 205, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3464.03399 + 3464. Round k to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25d22 (base 14) to base 2.\nAnswer: -10110101111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/63 (b) 0 (c) 2\/19 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let g be n(3). Let i(j) = -j + 6*j - j - g + 2. Give i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-4))\/(0 - 1). Let t = 17 - x. What is the units digit of (72\/(-45))\/((-4)\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -5\/3 (c) 2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74582627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n - 3 = -4*r, -2*n = -5*r + 12. Suppose -r*d = q + 2, 4*q = -q - 5*d. Let t(u) = u**2 + u - 1. Let w(f) = -f**2 + 1. Determine q*t(o) + 3*w(o).\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3*s - 6*s)*(-1576*s**3 - 1736*s**3 + 4076*s**3) + 0*s**4 - s**4 + 0*s**4.\nAnswer: -1529*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1259124550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 196 - 379 + 183.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1179375 and 6.\nAnswer: -1179369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + z - 2 = -z, 3*v + 2*z = 6. Suppose -v + 0 = -u. Suppose 28 = 4*l + 5*t, 4*l + 0*l + t - 44 = 0. Solve -l = 5*g + 2*p, 3*g + 16 = 3*p - u*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + -11 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14155*b = -57903 - 55337 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 2:34 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q. Let x be (-120)\/(-3) + 0*3\/(-15). Suppose x*m - 6 = 34*m. Calculate y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 1 + sqrt(192))**2 + (sqrt(192) + 2 + sqrt(192)*-2 - (3 + 1 + sqrt(192)))**2.\nAnswer: 32*sqrt(3) + 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {y: 2, r: 1, q: 1, b: 1, f: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -33. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 3. Let d be s(0). Let l be 129\/9 - 1\/d. Suppose -2*x + l*x = 108. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35705 and 15247?\nAnswer: 2820695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and -0.0286.\nAnswer: -0.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 3*o - 97. Let m be (4\/18)\/(o\/(-225)). Solve -6*q + m = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -42475.1 and 0.04 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h\/(h*h\/h**(-2\/21)*h))\/h**(-1))\/(h**(1\/17)*h*h**(-17)))**29 assuming h is positive.\nAnswer: h**(184759\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, 19, 90, 179, 292, 435?\n\"Answer: q**3 + 52*q - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 3705.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -24. Let r be 231\/22 + (-3)\/m. Solve 3*x + 2 = -r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 27*p + 2030. Suppose -58 = 3*h - 5*h. Calculate the greatest common factor of p and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919566407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1982, -3190, -4406, -5630, -6862, -8102?\nAnswer: -9350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111101010100010 (base 2) to base 9.\nAnswer: -436634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 261 = 237. What is the remainder when i is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:49 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53 or -1573?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -2 + 9\/2*d**2 + 2\/3*d**4 + 0*d**3 - 21*d + 1\/20*d**5. What is y(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.3289ml?\nAnswer: 0.0053289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 6 (c) 12 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**3 - 10*c**2 - 4*c - 6. Let b be a(-7). Let k = b - -522. Suppose 11*l - k = -0*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12412, 24703, 36902, 49009, 61024?\n\"Answer: -46*q**2 + 12429*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b651 + -5?\nAnswer: -b656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(4)\/sqrt(2)*6) + 4.\nAnswer: sqrt(3)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11499*o - 17 = 2*y - 11490*o, -3*o = 4*y + 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1390560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqbbhqhhhqqqh. Give prob of picking 1 b and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvvv when four letters picked without replacement from {c: 5, v: 5, a: 8}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003623 rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhv when three letters picked without replacement from {h: 7, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*u = -5*j - 203, -3*u + 3*j - 273 = 0. Let v = -92 - u. Suppose 5*h + 1957 = 2*z + v*h, -5*z = h - 4884. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 12*c = 6. Solve -2*m = c*g - 7, 4*g - 12 = -3*m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:06 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/3, 0.04, 2\/9, 0.464?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.24721 to one dp.\nAnswer: 119.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17276 divided by -4319\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 77*x**2 + x - 76. Give z(77).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -278*g - 159. Calculate the remainder when h(-2) is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0291 take away 11?\nAnswer: -11.0291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jjjwwjjjjwwjjjwj.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 90 - o**2 + 5*o + 9*o - 96 - 9*o. What is r(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 14*x**2 + 9*x - 86. Calculate i(-12).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 25 = 0, 0 = -4*d + y + 3 - 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + 0\/((-6)\/2). Let l be ((-12)\/g)\/((-3)\/72). Let j be l\/2 - (-2)\/1. What is the highest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - 6\/4. Let c be (2 - p)*(-3)\/9. Let h = -1 + c. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.4 (c) -3 (d) -9074\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 - 3226*p - 299772 = 0.\nAnswer: -1514, -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11189 (b) -3 (c) -1 (d) -139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 6*s + 11*s + 2*g - 6 = 7*s, -4*s + 4*g = 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.01 + 27.01. Which is the nearest to -2\/13? (a) 0.03 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 27018 = -2*q - 3*l, 4*q - l - 27006 = 0. What is the highest common divisor of 162 and q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -64*g + 42. Let f(i) = -130*i + 71. Determine 4*f(l) - 7*v(l).\nAnswer: -72*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -795386\/5 at most -159076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5 + s + 3*s**2 + 0*s - 4*s. Let p(u) = u - 2. Let t be p(7). Let q be m(t). What is the highest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 7*n + 8*n)*(-9*n + 2 + 4*n - 7*n) + 0*n + n**2 - 1 + n - 4*n**2.\nAnswer: -147*n**2 + 25*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) -0.4 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/2 - 97*l**4 - 9969*l**3\/2 - 104472*l**2 - 935712*l - 2985984 = 0.\nAnswer: -128, -24, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 - 22\/(-6). Let l = -2\/355 + 716\/1065. Put l, a, 0.5 in ascending order.\nAnswer: 0.5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 706, 1875, 4030, 7501, 12618, 19711?\nAnswer: 29110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 695 + -701. Let r(v) = -2*v**3 + 9*v**2 + 26*v + 15. List the prime factors of r(j).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3509*i**3 + 261*i**2 + 261. Let d = 37780 - 37778. Let f(h) = -27*h**3 + 2*h**2 + 2. Give d*w(l) - 261*f(l).\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 24*a + 3. Let h(o) = -107*o**2. Calculate h(f(x)).\nAnswer: -61632*x**2 - 15408*x - 963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-30)*(-29 + -82)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10131, -20003, -29875, -39747, -49619?\n\"Answer: -9872*c - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -570 + 1ba46?\nAnswer: 1b4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2. Let j be n(2). Let x = j + -8. Let r be x\/(44\/40 - 1). Round r to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22\/883 - -1832\/2649. What is the fourth biggest value in 2\/335, -0.2, -3\/7, w, 19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + 6*n + 4*n**3 + 6663 - 6665 as m*n + u*n**2 + o + p*n**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -2914.\nAnswer: -13\/2914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 13, 16, 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 1. Let m(i) = 6*i**2 + 2. Let y(r) = r**2 + r - 2. Suppose -2*o + 22 = -5*n + 7, 5*n + 15 = 5*o. Let d be y(n). What is d*p(h) - m(h)?\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854670?\nAnswer: 2, 5, 185467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13025 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 7*j**2 + 5*j - 27. Let r be m(-8). What is the nearest to r in 15, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14343355 divided by 2868671?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -16) + 10 + 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1209722284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-6)\/(12\/701). Is i equal to -702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rraara. What is prob of picking 2 r and 1 a?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -349 and -350 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1296))\/(sqrt(36)\/(sqrt(3)*1)) - 3*(1*1*sqrt(147))**2.\nAnswer: -441 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37940\/(-39837))\/((-50)\/14)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6985798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -335 - -331. Let v = 1\/2 + -7\/6. Which is the biggest value? (a) v (b) -0.4 (c) k (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (408\/(-170))\/((-16)\/(5200\/39))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 7*s + 5. Let t(f) = f**3 - 5*f**2 - 2*f + 4. Let k be t(5). Does 3 divide y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 2320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -849 - 471. Suppose 7*g - 10*g = -x. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -376*h - 16. What are the prime factors of o(-4)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26470 - -28441. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)\/((v\/v**(4\/5))\/v))\/(((v*v**0*v)\/v)\/(v*v\/(v*v**3)))*(v**(-8\/7)*v\/(v*v**(-12)))**(-3\/16) assuming v is positive.\nAnswer: v**(-1499\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 59 = 49. Suppose 3*p = -0*d - d - 13, 3*p = 3*d - 33. Sort p, 2, b, -5 in descending order.\nAnswer: b, 2, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 783282 and 300.\nAnswer: 39164100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.43 - 6.3. Let k = l + 84.87. Let v = k - 81.7. Round v to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbfb when four letters picked without replacement from {f: 5, b: 11}?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/8600 - -34403\/25800. Suppose 2*z = 7 - 3. Let -2\/3*n**4 + 2*n**z + 10\/3*n + p - 2\/3*n**3 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1859772 + 84848.1.\nAnswer: -1774923.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9038.03 in -3, 2\/5, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9851 is divided by 3941?\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 18 = 4*c + 11, -b + 5*c = 0. Suppose -3*h - 4 = j, -j + h + 4 = -0*j. What is the closest to 1 in 4, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 - 1)*(-4*s + 2*s + 0*s)*(968*s - 619*s - 533*s) - 3*s**2 + 3*s**2 + 3*s**2.\nAnswer: -3677*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*f - 78. What is the highest common divisor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 420 = -h. Let a be (-2)\/2 - (1 - h). Is a\/90 - (-6918)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4454088ml to litres.\nAnswer: 0.0004454088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 - -214. Suppose 0 = -8*l + 82 + 102. What is the greatest common factor of f and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - 60c?\nAnswer: -5d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b + 12*b - 39*b**4 + 127*b + 3*b**2 + 38*b**4 as p + z*b**4 + y*b**3 + m*b + f*b**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6474 = 30*k - 32*k - 2*m, -3*k - 5*m + 9719 = 0. What are the prime factors of k?\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x - 9*x - 3*x - 5*x to u + w*x and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 921419466.6 + -826?\nAnswer: 921418640.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**2 - 5*n**2 - n**2)*(n + 8*n**2 + 9 + n - 10) to the form w*n + r + h*n**3 + c*n**4 + q*n**2 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 149*u**2\/3 - 373*u\/3 + 47.\nAnswer: -(u + 3)*(u + 47)*(3*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/4 + 4*a**2 - 10*a. Find the first derivative of x(j) wrt j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 102. Solve -5*p = a - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.5307 * -0.04\nAnswer: 0.581228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 478 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*g + 72, 2*g + 46 = 3*p + 7*g. Suppose -f - p = 2*u - 4*f, -24 = 2*u - 2*f. What is u rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(77)\/(sqrt(28)\/sqrt(4)))**2*-2 + 4 + (sqrt(1331)*2*3 - sqrt(1331)).\nAnswer: -13 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-4)*(-24)\/(-20). Differentiate -3 + o*k + 12*k - 25*k wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**3 + q**2 + 7*q + 6. Determine c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42280\/19 or 2224?\nAnswer: 2224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 7*g**2 - 6*g + 4. Let h be t(6). Let k = -33\/5 + 89\/15. Let f = 34 + -512\/15. Which is the third smallest value? (a) h (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r - 3. Let s(o) = -o - 1. Give c(i) - 3*s(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*i + 245*i - 53*i - 75*i - 7268 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((1 - 2) + -12)*-1. Suppose 0*c + c + d = 5*p, 2*p - 16 = -5*c. Suppose -47 = -4*r - 3*o, 6*o = 3*r + c*o - 54. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -217 and 390.\nAnswer: -84630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/35 - (2096\/(-14) + -1) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16200 - -25418. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*w = 12*w - 1020. Let p(t) = -2*t**2 - 4*t - 6. Let l(n) = -4*n**2 - 7*n - 11. Calculate w*l(m) + 11*p(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p. Let x(z) = 2*z**3 + 2*z - 3. What is 3*b(m) + x(m)?\nAnswer: -m**3 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 41*p + 0*p**3 - 25\/12*p**4 + 8\/5*p**6 + 0 + 0*p**2 + 0*p**5. What is the third derivative of x(t) wrt t?\nAnswer: 1152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -46 and -44 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3\/3 + 3*n**2\/2 - n + 5. Let h be s(2). Let x be 14\/(4\/(h + 1)). Does x = 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 5*d. Let y(i) = -4*i**2 + 15*i. Let a be (-4*(-7)\/(-2))\/2. Let v(x) = a*u(x) - 2*y(x). What is the second derivative of v(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/35 + 2\/(-14)*-43. Suppose -v*n - 64 = 68. Let p = 41 - n. What is the greatest common factor of 42 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-270) - (-6)\/15)*364\/134680*185\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -8 + 397 + -366. Let g(v) be the first derivative of 0*v + 0*v**3 - j + 7*v**2 - 3\/2*v**4. Find the second derivative of g(b) wrt b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5945 and 13120?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + x**4 + 8 - 8 + 0*x**4 + 2*x**4 - 4*x**4 + (0*x + 0*x - 2*x**2)*(-3*x - 2*x**2 + 3*x).\nAnswer: 3*x**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5216293, 5216267, 5216241, 5216215, 5216189, 5216163?\nAnswer: 5216137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30433*p*w**3 - 4*p*w + 4444*w**2 wrt w.\nAnswer: -182598*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s**2 - 27*s**2 - 31*s**2 + 90*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*a - 10, 4*a + 8 = -11*s + 15*s. Is -57 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43081532 - -0.02?\nAnswer: -43081531.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, and 2 k when four letters picked without replacement from kkkakuu?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w\/(w**(-3)\/w))\/w))*w**(-6))\/(w**(2\/3))**(-27))**(9\/5) assuming w is positive.\nAnswer: w**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - -76. Let b = 36078 - 36052. What is the remainder when q is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {s: 2, u: 11, t: 6}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 6*p - 27*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (0 - -1))*85. Suppose 3*i = 3*l + 759, i = 3*l + 182 + 71. Let t = c + i. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, q: 7}. What is prob of sequence qe?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017389 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.471 - -2.473. Let g = -0.102 + a. Round g to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -521135*b**3*x**3 - 8*b**2*x**3 + 766*b*x**3 + 16863*b*x**2 wrt b?\nAnswer: -3126810*b*x**3 - 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-2)))**(-3\/4) assuming b is positive.\nAnswer: b**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3*((-136)\/24 - -9) and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -263 - -266. Suppose 14*k - 10*k + 404003 = -q*m, -2*k + 2*m - 201998 = 0. Round k to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275 + 253 - 313)*(261 - 261 - 24*r).\nAnswer: -5160*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7891 is divided by 374.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**2 - u - 7*u**2 + u - 9. Suppose 0 = -3*s - 14 - 16. Is i(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, 21, 65, 137, 243, 389, 581, 825?\n\"Answer: u**3 + 5*u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*k - 17, 0 = 4*c + c - 5*k - 5. Let h be (-1)\/c*72\/12. Solve -h*r = 5*a - 18, -4*r + 20 = 5*a + r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -1112?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 1. Let f(b) = -b**2 - 6*b + 1. Let k be f(-6). Let i be a(k). Let c = 3\/11 - 17\/22. Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -3)\/3*-5. Suppose -4 - h = -3*q. Suppose -q*n - 4*a + 57 = -a, a + 3 = 0. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1336382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3038, -6069, -9114, -12179, -15270, -18393, -21554, -24759?\nAnswer: -28014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677461.\nAnswer: 677461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3404106.\nAnswer: 2, 3, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.694652 millennia?\nAnswer: 66.94652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 6*n**2 - 4*n - 9. Suppose 6 + 6 = -2*d. Let g be j(d). Calculate the highest common divisor of g and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 36 = -5*p, 0 = 2*p + 2*b + 2*b + 32. Let x be 8\/20 + p\/20. Suppose 3*o - 9 = 0, 2*w - 2*o + x - 24 = 0. Solve 2*f = -f + w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*v + 1920, 34 - 46 = -4*v. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 - 356*k\/9 - 118\/3.\nAnswer: -2*(k + 1)*(k + 177)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x + 6*x + 3*x - 16*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*i**3*x**6 - 14*i**3*x**2 + 75*i*x**6 + 1867*x**2 wrt x?\nAnswer: -22680*i**3*x**3 + 9000*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = b + 4*p, 3*p + p = b - 1. Let q be b\/9 - (-3)\/9. Suppose 2*o - 5*o = 0. Solve 3*f + 12 = o, q*l - l - 8 = f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223010002 + 100223?\nAnswer: 223110231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2 - j + 11 + 4. Let v be y(10). Solve a + v + 12 = 4*m, -2*m - 2*a + 12 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 3) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117643?\nAnswer: 117643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 - 4454688*h + 4454692 = 0. Calculate h.\nAnswer: -1113673, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*w - 42 = 0, r + 51460*w - 51464*w = -62. What is u in 20\/7*u**3 - 54\/7 + 36\/7*u**r + 2\/7*u**5 - 54\/7*u - 2*u**4 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 1, -2\/223, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 55, -8, -5, -1, 7 in descending order.\nAnswer: 55, 7, 1, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6714913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28785 and 84?\nAnswer: 805980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -296, -592, -888, -1184, -1480?\n\"Answer: -296*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8597029ml to litres.\nAnswer: 0.0008597029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 2682873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 787818 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.20856 - -36.20854. Let c = -31 + m. What is c rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5154951144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7464 = -12*x - 0*x. Suppose -3*y = -x + 88. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 4:51 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -264, 62, 36 in decreasing order.\nAnswer: 62, 36, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 6*u + 4. Calculate t(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 8) to base 3\nAnswer: -11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/2 + 131\/30. Suppose 5*k = 2*d - 31 - 39, -2*k + 4*d - 28 = 0. Let z be (k\/35)\/(4\/(-10)). Which is the closest to z? (a) 1 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyyzbyy. Give prob of picking 2 o and 1 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*u + 432*u - 36 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 85, 133, 183?\n\"Answer: l**2 + 43*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -237204*u**3 + 2*u + 127644 wrt u.\nAnswer: -1423224*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 7*l**2 + 2*l - 7. Let a be k(7). Suppose a*c - 2*c - 4*p = -37, -p = 3*c + 12. Let s(i) = -3*i - 3. Is s(c) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4984961 * 12.\nAnswer: -59819532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*-1*750\/600.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59 and 0.032?\nAnswer: 59.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose g - 3*g + 8 = 0. Calculate the remainder when g is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 - 904466*m - 204514686289 = 0. Calculate m.\nAnswer: -452233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23194 + -12675?\nAnswer: 1061a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*z - 1 + 1 + 365*z - 7 - 180*z.\nAnswer: 11*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-49) - (-74)\/14. Find the second derivative of -j*z**2 + 11*z**2 + 12*z - 4*z wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(171) + 6*1*sqrt(171))\/((sqrt(729) - (1*-1*sqrt(729) - sqrt(729))) + sqrt(729) + -1*(-1*sqrt(729) - sqrt(729) - sqrt(729))).\nAnswer: sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*6\/5*5. What is the units digit of 121\/7 - b\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z - 100446 = -587339 - 1436875. What are the prime factors of z?\nAnswer: 7, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 49, 77, 105, 127, 137, 129?\n\"Answer: -c**3 + 9*c**2 + 2*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:35 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*t + 102, -26 = -2*t + t - j. Let m = 26 - t. What is the units digit of 87\/5 - (7\/5 - m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 0*(-1)\/4. Solve y - 1 = q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5493 and 61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17215 (base 8) to base 7.\nAnswer: -31542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 4 - 4 - 11*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*y + 1, 10*u - 4*y = 13*u - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1656 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-2)\/(-12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -14) + (-41 + 2100\/385 - -22).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77309 and 5579?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:08 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -482 + 449.3. What is i rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l = 28*l - 403720. Suppose -7*j + 402749 = l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 6, k = 3*k + 2*z. Suppose 7*m = k*m + 3*m. Solve -2*q - 2*q = m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.354858 to 0 decimal places.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -10370.3?\nAnswer: 20740.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3053 + 15261\/5. Which is the fifth smallest value? (a) -2\/7 (b) 0.2 (c) -5\/2 (d) -1 (e) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (12 - 7) + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 5 (c) 0.4 (d) 3 (e) 2854\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 35. Let q = 14 + z. Let l(o) = 2 - 14*o + q*o - o**2 + o**3 + 8*o + 4. Calculate l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*78\/(-13) + 3. Let m(c) = -c**3 + 3*c**2 - c. Let y be m(2). Solve -g = -5*z + y*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*t + 16, -4*q - 5*t = -0 - 20. Let s(r) = 2*r + 4. Calculate the remainder when 15 is divided by s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -673067, -1346142, -2019217, -2692292, -3365367?\nAnswer: -4038442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 3, o: 6, v: 4, b: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v - 6 = 41 - 333 - 364 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*n + 28670, 27027 + 30321 = 4*n - 2*i. Suppose -837*o + 845*o = n. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 12 = 13*y. What is the first derivative of 0*f**2 + 158 - 233 + 0*f**y + 89*f**3 wrt f?\nAnswer: 267*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*c - 103*c - 4473 = 83*c + 10*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 + 3 = 0. Suppose 4*g + 0 = 16. What is the smallest common multiple of u and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = -18. Suppose -j = r + 3*q, 0 = 2*r - 5*q - 1 - 26. List the prime factors of -1 - -1 - (r + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091762 is divided by 7969.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, 35, 191, 431, 785, 1283?\nAnswer: 1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by -29\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/27, 0.5, 1, 1\/4, 0.2 in descending order.\nAnswer: 1, 0.5, 1\/4, 0.2, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209*s**5 + 83099*s**4 + 360880*s**2 + 19*s - 2.\nAnswer: 12540*s**2 + 1994376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/18*3\/(-12).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11310221 - 10?\nAnswer: -11310231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*s - 2*s - 10, 0 = -2*z + s + 13. Suppose -k = -0*k - 4. Suppose -3*p + k*l = -46, 4*l = z*p - 4*p - 56. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -26, -61, -98, -137?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 48355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 21. Let q = 5 - f. Let v be q\/4 + 1 + 45. What is the highest common divisor of v and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from {d: 2, a: 1, t: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 8*o**2 - 406*o + 1764.\nAnswer: 2*(o - 7)**2*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -713?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z**2 - z - 4*z - 4 - 9*z**2. Let s be a(6). Suppose s*u = -u + 18. Solve -u*l - 3*y + 20 = -l, 21 = l + 4*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623087239 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) - 122\/4. Let m = -29 - g. What is the nearest to m in 1\/7, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose -l - 2 = 0, -n + 4 = -l + u. Let d = 1\/361 + 356\/1805. Sort d, 2\/9, n in descending order.\nAnswer: 2\/9, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(sqrt(10)*-3))\/((-1*sqrt(24))\/sqrt(2)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/18 + (-304)\/(-9).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353047 to the power of 1\/2, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 106369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 230100 divided by 13\nAnswer: 17700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/4 + 5*a**3\/4 - 11*a**2\/2 + 4*a.\nAnswer: a*(a - 2)*(a - 1)*(a + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8328459.\nAnswer: 3, 563, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -682700 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000308907 to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92909, 182365, 271821, 361277?\nAnswer: 450733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**3\/3 + 17*v**2 - 14912*v. Let t(p) = -4*p**2 + 5*p**2 - 4*p**2 + 5*p**2. What is t(b(j))?\nAnswer: 8*j**2 - 272*j + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s + 80. Let b be h(21). What is the nearest to -1.5 in 0, 3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 11*j - 1213. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 - 1001*k**2 - 648*k + 6041. Calculate o(-333).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 5*t**2 - 2*t + 3. Let q(k) = -2*k + 11. Let y be q(8). List the prime factors of v(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 5:53 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100454 - -3?\nAnswer: -100451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*j**3*r*u**2 + 33*j**3*u**3 - j**2*r*u - 2*j*r*u**3 - 3*j*r*u**2 + 18*j*u wrt j?\nAnswer: 48*r*u**2 + 198*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4580 = 2*p - 540, 5084 = 2*p - 4*c. Is 30 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-36) assuming j is positive.\nAnswer: j**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n**3 - 2*n - 1. Suppose -5*l + 2*k = -k + 9, k - 3 = 3*l. What is the least common multiple of i(-1) and ((-2)\/6)\/(l - (-1)\/(-54))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33 - 15.33. Let g = p + 11. Let r be (-246)\/410 + ((-34)\/(-15) - 2). Which is the fourth biggest value? (a) 2\/7 (b) r (c) 0.09 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008011208491 to 6 dps.\nAnswer: -0.008011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = -3*b, 4*b + b - 5*h - 40 = 0. Suppose -b*g = g - 276. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7533, -15069, -22605, -30141, -37677, -45213?\nAnswer: -52749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 12.8. Let x = -17.07 - -0.07. Let s = y - x. Put s, 2\/13, -3\/2 in ascending order.\nAnswer: -3\/2, 2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 1881*l + 830018.\nAnswer: (l - 1174)*(l - 707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.783985551 + 10.784. Round l to seven decimal places.\nAnswer: 0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -980\/3 in -1\/2, -0.3, 96?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115338 - 4624 = 4345*k - 34438 - 32993 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32\/161 + 2\/23. Let s = -9 - -5. Sort s, b, -1\/10 in increasing order.\nAnswer: s, -1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 92 = -4*f + 6*u, 0 = -5*f - 4*u + 124. Suppose 3*i - 2*y = 19, 6*i - 3*i = 3*y + f. Solve -i*g + 5 = 2*r, -r + 2*g = -0*r - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 21 = -11, 24 = 4*y + 4*z. What is the lowest common multiple of 260 and y?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 2984 = 29*f. Let m = 362 + f. Is m less than or equal to -94\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59 or -1238?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i, 0 = 2*z - 5*i. Suppose j + 5*w = 8, 17 = -z*j + 4*j + 5*w. Factor 1\/2*a**j - 1\/2*a - 1\/2*a**2 + 1\/2.\nAnswer: (a - 1)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 + 10*h**3 + 2*h + h**2 - 22*h**3 + 6*h**3 + 9*h**4 in the form l*h + b*h**2 + j*h**3 + u + y*h**4 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16443854 is divided by 184762.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 3, 0.2, -2 in descending order.\nAnswer: 74, 3, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 28.002. Round a to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 u, and 1 l when four letters picked without replacement from {u: 2, b: 2, l: 6, e: 4, g: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560884611?\nAnswer: 11, 13, 1231, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*f - 297, -f = 2*f + 2*w - 292. Let z = f - 43. Is 2\/((-96)\/z + 2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 27 = 5*k. Let x(z) = -4 - k - 2 + z + 2. Let r be x(11). Sort 0, r, -0.2 in ascending order.\nAnswer: -0.2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*c = -5, -c - 2*c - 3 = -2*k. Let x = 383 + -4223\/11. Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 2*q**2 + q**2 + 164 - 4*q**2 - 124.\nAnswer: -q**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/5 - 11\/2. What is the third biggest value in 3\/7, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3 = 3*s - 10, 5*s - 9 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 113. Let u(q) = -6 + 66*q**2 - 2*q + 43 - y*q - 61*q**2. Does 7 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543278767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25836 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -113.\nAnswer: -33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m - 39*m + 1080 = -147*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*(-5)\/15*9. Suppose 0 = 3*i + l*a - 48 - 41, 0 = 5*i + a - 139. Let v = 61 + -25. Calculate the highest common factor of v and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5499827 and 2.4.\nAnswer: -5499824.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374212*r**3 - 54222301*r**2?\nAnswer: -2245272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1201 times 7.21?\nAnswer: -0.865921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 333, 566, 845, 1170, 1541?\nAnswer: 1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3 - 1622*b*k**2 + 12*k**2 - 3*k + 550 with respect to b.\nAnswer: 6*b**2 - 1622*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 1321*p\/4 - 57603.\nAnswer: (p - 1477)*(p + 156)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634208?\nAnswer: 2, 19819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(((g\/g**(-1\/6))\/g)\/g)))*g)**12\/(g**(2\/5)*g*g**(-10)*g*g) assuming g is positive.\nAnswer: g**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 757*j + 5*s = 761*j - 5, s + 40 = -7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223232 (base 8) to base 3.\nAnswer: 10211110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -91, -133, -177, -223?\n\"Answer: -f**2 - 37*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*4*sqrt(132))\/sqrt(6))\/((sqrt(32)\/(sqrt(324) - sqrt(4)))\/sqrt(4)).\nAnswer: -160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226243?\nAnswer: 587, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let q be (-6)\/9*((-3)\/(-1) + -9). Let b(m) be the third derivative of -1\/60*m**5 + 0 + 0*m**q + 0*m**3 + 0*m + 3*m**2. Determine f(b(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2870\/30 - 5) + -3 + (-35)\/(-15). Solve 24*m + 21*m + c = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqoo. Give prob of sequence on.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2797*h - 2. Let a be o(6). Suppose -2*b = -3*b - 5*p + a, -b + 16784 = 4*p. What is b rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11)*2)**2*1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4857\/(-3238))\/(2\/6)*(-200)\/(-12)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 - 176 - 15 = -31*v + 22 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1992, -2301, -2610?\nAnswer: -2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**18\/h)\/h)**(-39) assuming h is positive.\nAnswer: h**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3287919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 16*l**3 + 4*l - 34. Suppose -3*j + 6 - 21 = 3*c, -5*j + c = 19. Let q(f) = f. Let m(b) = j*q(b) + z(b). What is the first derivative of m(p) wrt p?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7730390*4\nAnswer: 30921560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 29 = -o - 2*o, 2*v = 3*o + 25. Let x = o + 15. Solve -x = -2*g + 2*z, -z - 4 = -4*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-76560)*55 + (-118)\/116*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481568 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*6*(sqrt(176) + 1))**2 + ((sqrt(704) - (sqrt(704)*2*-1 - sqrt(704)))**2 - (sqrt(704) + -1 + -4)).\nAnswer: 1144*sqrt(11) + 36752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 3 + -4 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + t**2 + 4*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/3 - z**3\/6 - 3*z**2\/2 - 2*z - 68. Let c(h) = -7*h**2 - 2*h - 5. Determine 11*a(m) - 6*c(m).\nAnswer: -2*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 533 - 24*z + 15*z**2 + 0*z**2 - 1067 + 538 to the form a*z**2 + i + g*z and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 7. Let p be b(-5). Do p and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - v + 17 = 2*x, 5*v + 48 = 4*x. What are the prime factors of (x + 52)*(1 + 0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27380*(-12)\/240*-10 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - h. Let i be c(-2). Let p be -1*i\/4*2. Suppose -3*v + 66 = -3*k, -3*k - 13 = p*v - 61. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6224 and 1264?\nAnswer: 491696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*m + 8091 = 13140 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s - 3 - s**3 - 2 - 22*s - 3 - 12*s**2. Let v be q(-11). Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + u = -3, 32*i - 33*i = 5*u - 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4919a (base 11) in base 6?\nAnswer: 1303353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**6)**(2\/141) assuming k is positive.\nAnswer: k**(-10\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/60 + 35*x. Let y(o) = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -276 + 275. Let g = 1.956 + 0.044. Which is the third biggest value? (a) g (b) -0.05 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -49 + 13 - -35?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*d - 151*d = -2*s - 8, -14*s = 4*d - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 - i - 3*i**2 - 5*i**2 + i. Let y(u) = -123*u. What is y(z(h))?\nAnswer: 246*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*24\/(-147)*(414 + -407).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 0, -4.\nAnswer: -4, 0, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24499 - -24504. Suppose -4\/5*u**3 + 24\/5*u**2 - 16\/5*u + 0 + 2\/5*u**d - 6\/5*u**4 = 0. What is u?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 16*n**2 + 75*n + 672. Let v be x(-19). Calculate the highest common factor of 1023 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aayn when four letters picked without replacement from {q: 1, a: 7, n: 7, y: 2}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2662 + 2662. Is x <= 596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5917*c. Let y(n) = 1791*n. Determine y(v(b)).\nAnswer: 10597347*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, 3\/8, 4\/799?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -2 + 14. Solve -4*n - 3*r = -25, -5*r + 12 = h*n - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16747\/21 - -5538\/7. Sort -1\/7, 0.4, v.\nAnswer: v, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3155929 to the nearest integer?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65374 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16155779?\nAnswer: 331, 48809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + g**2 - 4*g**2)*(-3*g - 3*g + 10*g)*(-3*g**2 + 2*g**2 + 3*g**2).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994066606.\nAnswer: 2, 7, 19, 43, 174337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 25 = -a. Suppose -2*l = 8, a*b - 122 = -l + 414. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -24. List the prime factors of i\/35 + 19\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 9:46 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.057? (a) 1 (b) -108 (c) -0.01 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.76957mg in grams?\nAnswer: 0.00376957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -4, 61 in descending order.\nAnswer: 61, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.76 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-30)*2*3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c - 22*c = 68. Suppose o - 15 = -20. Put 6, o, c in descending order.\nAnswer: 6, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 806 or 807?\nAnswer: 807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.002 - 3.998. What is the nearest to -1\/4 in 2\/13, 0.4, 0.3, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 13*x + 0*x + 2*x = 3*w + 15, -21*w = -5*w + 5*x + 37 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*b = 7*b + 28, -k + 4*b + 19 = 0. Solve -3*t = 6 + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 183*t**8\/28 + 83*t**4\/12 + 258*t. Find the third derivative of j(s) wrt s.\nAnswer: 43920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.256 + -259.744. Let q be (5\/(-29 - 6))\/((-5)\/(-10)). Sort l, -1\/5, q in decreasing order.\nAnswer: -1\/5, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -36. Suppose -4*l - 106 = b*w, -96 + 5 = 4*l - 3*w. Let t = l - -3. What is t rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + c - 19 - 23 = 0, 6 = -n - 5*c. Suppose 12*w - 15*w + 18 = 0. Let u = w + -4. Solve 0 = 5*k - u*k - n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 1 o when three letters picked without replacement from dohuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(-5)))**44\/(m**(2\/3))**(8\/3) assuming m is positive.\nAnswer: m**(2360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -259*j**3 + j**2 + 6*j + 5. Let i be ((-11)\/(-44))\/((-1)\/4). Let s be c(i). Let z = s + -9. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 2. Let n(y) = 214*y - 35*y - 422*y - 261. Let t(j) = -5*g(j) - n(j). Find the first derivative of t(c) wrt c.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*2*1 + -1*sqrt(187)*-3)\/(-3*-4*(sqrt(11)*4 - sqrt(11))))**2 + -4.\nAnswer: -127\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(4\/(-14) - 10\/(-35)). Suppose v = 2*c + 4*c. Suppose c = -9*k + 118 + 125. Solve y + 4*y + p = 10, 2*y - k = -5*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgtkgtkfttfggtgfggg. Give prob of sequence tg.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -44?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 13 = -4*v, 3*v - 26 = -2*y. Let o = y + -8. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 11*u**2 + 21*u - 27. Let c be p(12). What is the highest common factor of c and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110000110?\nAnswer: -110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 14*r - 6*r)*(-58*r**3 - r**2 - 58*r**3 + 90*r**3) as g*r + s*r**3 + a*r**4 + x + b*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 20 + 11. Suppose 0 = -4*b - 4*m + 12, k*m = b + 1 - 12. Solve -4*a + 11 = -l, 3*l - 26 = -4*a + b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**3*n*x**5 + 14*m**3*n*x - 2*m**3*x + 26*x**5 + x wrt x?\nAnswer: -100*m**3*n*x**3 + 520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37676.\nAnswer: 2, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7513458*z**2 + 6. Let o(l) = 2*l**2. Give h(o(p)).\nAnswer: -30053832*p**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 5400*a - 5405.\nAnswer: 5*(a - 1081)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*k = -1338, 30*w - 3974 = 27*w - 4*k. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5724 - 3498. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 - 6*z**2 - 6*z - 14. Let h(x) = -x**3 + x + 1. Let o(a) = -2*h(a) - q(a). What is o(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*l - 30*l - 24 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*g**2 + 12*g**2 + 103*g**2 + (-8*g + 13 - 13)*(-1 + g + 1).\nAnswer: 157*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1269968, -2539931, -3809902, -5079881, -6349868, -7619863, -8889866?\n\"Answer: -4*w**2 - 1269951*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 25 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x. Suppose j + x*j - 4 = 0. What is the second biggest value in 0.1, -0.2, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - -0.48. Let f = 30282 + -30282.045. Put 5, a, f in descending order.\nAnswer: 5, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from vgngxgn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23648.07 + -23648. Let g = -1\/255 - 757\/2040. What is the nearest to y in 0.5, -4\/3, -2\/9, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102939547.\nAnswer: 102939547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 + -222. Is -66 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + (-2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30890318762178*i**2\/5 + 15720132*i\/5 + 2\/5 = 0. What is i?\nAnswer: -1\/3930033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-50))\/((9\/20)\/(42\/(-112))).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76122.\nAnswer: 2, 3, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*y + 37*y + 6. Let s(c) = -6*c**3 - 9*c**2 + 5*c + 2. Let o(p) = p**2 - p. Let d(v) = 6*o(v) + s(v). Does 10 divide d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1966 at most as big as -1960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(176) + 3 + sqrt(11))**2 - (sqrt(11) - (sqrt(33)\/sqrt(3)*6)**2)) + sqrt(539)*-2 + (sqrt(88)\/sqrt(2))\/sqrt(4).\nAnswer: 17*sqrt(11) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2540, -1\/8, -0.127 in decreasing order.\nAnswer: -3\/2540, -1\/8, -0.127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 434?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -276*q**2\/7 + 246*q\/7 + 30\/7 = 0.\nAnswer: -5\/46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 111110100100111 (base 2) to base 7\nAnswer: 162260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 5*d + 22, -4*d + 1 = -3*x - 8*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154332*p + 2*p**2 - 154336*p - 154339*p + 463007*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**3\/6 + c**2 + 101. Let j(k) = -11*k - 44. What is 44*h(a) - j(a)?\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14560 and 70525?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(3)*-2)\/(sqrt(6) + sqrt(6) + (sqrt(6) - (sqrt(6) - (2*sqrt(600) - sqrt(600)))) + sqrt(6)).\nAnswer: -2*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20158225 to the power of 1\/2, to the nearest integer?\nAnswer: 4490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*m + 149*m + 304*m.\nAnswer: 196*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -345, -832, -1527, -2430, -3541, -4860?\nAnswer: -6387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2049936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let p(n) = 7 - 10 - 13*n - 3*n. Let x(d) = -k(d) - p(d). Find the first derivative of x(w) wrt w.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5145 + 5116 = 8*c, -5*i = 3*c + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219 is divided by 603?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 434422978?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.1. Let p = 10 - 7. Suppose 0 = y + p, 5*y + 1 = z + 4*y. Which is the nearest to v? (a) z (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 43*q**2 - 113.\nAnswer: -43*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q + 6\/7 - 6\/7*q**5 + 2*q**4 + 20\/7*q**3 - 20\/7*q**2 = 0.\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 + 2*j**2)*(3 - 3 + 4) + 3 + 3*j**2 - 3)*(2*j + 0*j + 1 + 0)*(-3*j + j + 3*j).\nAnswer: 22*j**4 + 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.1, -0.9, -226, 0.6, -1\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + -95. Which is smaller: 13\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 - 0.48. Let l = -0.695 + -0.205. What is the nearest to w in -5, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -246*f**2 - 899*f?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11802 and 61278.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*p + 28 = -177*p. Solve p*a - 3*d = -13, -7*a = -2*a - 4*d + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1869027383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, g: 2, h: 1, s: 7, b: 1}. Give prob of picking 1 s and 1 b.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 14\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 13*k**2 - 30*k + 2. Let z be w(15). Let a(x) = 5 + 0*x**3 - 4*x + 7*x**z - 10 - x**3. Suppose 18 = 3*s + 2*s - 3*t, s + 6 = 3*t. What is a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(288))**2.\nAnswer: 72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**14)\/z)**(-28)*z**26*z**4*z assuming z is positive.\nAnswer: z**(-389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.81154ns in milliseconds?\nAnswer: 0.00001881154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 11*t**2 - 19*t + 18. Let w be f(12). Let x be (-1056)\/w*2\/8. Solve -4*o - z - 22 = 4*z, x*z = -2*o - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 x when three letters picked without replacement from {y: 2, n: 3, z: 3, p: 1, x: 1, h: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(612) - sqrt(612)*2*-4 - (((1*sqrt(612) + sqrt(612))**2 - sqrt(612)) + -2)) + (3 + sqrt(612)*-1*4)**2*-4.\nAnswer: -41650 + 636*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -192*m. Let d be n(1). Let s = -89 - d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/11 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.88 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3078)\/(-7) + 1 + 50\/175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 76 = 13*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z. Let b(l) = -20*l**2 + 11*l + 11. Let c(j) = -5*j**2 + 3*j + 3. Let x(g) = -6*b(g) + 22*c(g). What is x(m(w))?\nAnswer: 490*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 706064.4 centuries in years?\nAnswer: 70606440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (-6)\/(-2) + -2. Suppose -25 = -5*c, 3*b = -c + 6*c - y. Calculate the remainder when 16 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 50?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -17*q**2 + 28*q + 3. Let j(b) = 6*b**2 - 10*b - 1. Suppose -2*g - 3 = 4*h - 31, 3*g - 22 = -2*h. Let i(t) = g*r(t) + 11*j(t). Determine i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.97 - -0.03. Let h = x - 6. Put 5, h, 3\/2 in decreasing order.\nAnswer: 5, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + u = -19, 2*c - 7 = -2*u + 3*u. Find the first derivative of -c - 8*o - 1 - 6 + 12 wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -14*j**2 + 191*j + 46. Let x(s) = -57*s**2 + 765*s + 183. Let i(r) = 9*l(r) - 2*x(r). What is o in i(o) = 0?\nAnswer: -1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9032 and 5645.\nAnswer: 45160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 22 = 394. Is o\/(((-1)\/47)\/((-1)\/2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1306 + 0.114. What is k rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45719330?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*d - 12 + 12 + (-2 - 1 + 4)*(-2 + 2*d + 2).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13800 and 100?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((-30)\/(-25) + 2). Let t be (-8)\/(-6)*(-9)\/2. Let d be (8\/t)\/(4\/6). Which is the biggest value? (a) x (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 125*o**2 - 519*o - 393. What is j(-129)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/5 + 5536*n**3\/5 + 3869468*n**2\/5 + 53361504*n\/5 + 185820642\/5.\nAnswer: 2*(n + 7)**2*(n + 1377)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 19. Let v be n(-14). Suppose -1 - 1 = -2*g - 2*u, v*u = -20. Solve -g*c + 8 + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 18118*t + 405. Give y(0).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**3\/3 + n**2\/2 - n - 84. Let d(m) = 6*m**2 - 5 + 7*m - 2*m + 2*m**2. Determine -d(r) + 6*z(r).\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34398 and 3?\nAnswer: 34398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*b - 60, -3*d - 2*b = -42 + 16. Suppose 18 = d*h - 2. Solve -3*y - 6 = 2*k + y, -h*k + 10 = -4*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-100))\/((-9120)\/2850)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - -4.92. Let l = -5.2 - -5.2. What is the closest to 2 in l, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34766557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7880 divided by 788\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 7*x**2 - 5*x - 6. Calculate b(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3483516 by 129.\nAnswer: 27004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 160583081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 82, 151, 244, 367, 526?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 470 in -0.3, 3, 35, -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 = -m - f, 25 = -5*m + 5*f. Let c(z) = -2*z - 2. What is c(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*n + 2*s + 40, 4*n - 2*s - 22 = 0. Suppose 0 = -n*j + j + 204. What is the remainder when (-10)\/35 + j\/14 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5 - (-372)\/(-72) - 4538\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240793 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*16\/12. Suppose 4*y - 2*h - 14 = 0, -21*y + 22*y - 5*h = 17. Is y equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1240*f - 579932 = -577446, 0 = -b + 4*f - 2 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 j, and 1 r when three letters picked without replacement from {s: 3, j: 1, t: 3, z: 1, r: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15 + 22)\/(-7)*-75. Let k = 3 + 2. Suppose k*l = 8*l - p. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 16 = 2*k. Suppose 3*q = 2*p - 0*p + 5, q = 4*p - 5. Suppose -3*g = -p - k. Solve -4 = i - g*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b249 (base 13) in base 16?\nAnswer: 6e975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121 + -40?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-3) - ((-21)\/3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u - 76*u + 9*u)*(-5*u + u + 3*u) as i*u**2 + b*u + m and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 217*m**2 - 1082*m + 6285. Determine o(-222).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 364 + -331. Suppose 34*n - 31*n = x. Which is the fourth smallest value? (a) 0.1 (b) -16 (c) n (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 889448, 1779544, 2669640?\n\"Answer: 890096*w - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 2*w**2 + 5*w - 3. Suppose 4*q - 44 = -5*p, 5*p = -5*q + 2*p + 42. Suppose -q - 2 = 2*t. Determine g(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12821648.71 to the nearest 10000.\nAnswer: -12820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 16*v - 21. Let u be z(17). Let x be 1666\/2210 - u\/(-26). Which is the closest to x? (a) 0.2 (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 336*l + 1306 - 9370 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*t - 37. Suppose 0 = 3*v - 10 - t. List the prime factors of ((-28)\/(-12))\/(1\/v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3 + 166*p**2\/5 - 92*p\/5 - 64\/5 = 0.\nAnswer: -2\/5, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 + 57 + -30 + -2 + -9.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -1364?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 415707 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 7*u**2 - 5*u + 6. Let a be l(-6). Suppose 0 = i + 3*z - 29, -7*i + 2*i - 2*z = -93. Suppose i*p = 34*p - 11*p. Solve 2*k + a + 6 = p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41376.9 + 3\nAnswer: -41373.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-336))\/((75\/(-25))\/(1*-16))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Suppose m*x + 9 = 0, x = 2*r - 3*x - 36. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 2*h**3 + 5*h - h**4 - 1 - 2*h + h as n*h**2 + i*h**3 + g*h**4 + o + k*h and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12665713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 16*q**2 + 3*q - 1. Let k be y(1). Solve k = -4*r + 4*p - 2, 3*r + p + 11 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 15*u + 12*u = 6, -2*v + 6 = 12*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/32 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -25*n + 20 + 5*n - 13*n + 12*n. Let p(y) = 32*y - 32. Let m(w) = 8*a(w) + 5*p(w). Let k(g) = 18*g**2. Give k(m(c)).\nAnswer: 1152*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3373894 litres to millilitres.\nAnswer: 337.3894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -47, -126, -257, -452?\n\"Answer: -2*j**3 - 8*j**2 - j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4339603 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021979247 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 1\/5, 33, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/2, -1\/4, -1\/7, -2.297?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*-1*sqrt(243) + sqrt(243) + -4 + sqrt(243)*-3)**2*3 + 3.\nAnswer: -864*sqrt(3) + 11719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 48*h**3 + 56*h**2 + 48*h - 52.\nAnswer: -4*(h - 1)**2*(h + 1)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 7*g**3 - 4*g**3 - 6*g**2 + 2*g**2 - 4*g - 48*g to f*g + u + c*g**3 + r*g**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*d - 24, -5*d = -6*a + 2*a + 33. Let m = 4 - a. What is the second smallest value in 0.5, -2\/7, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21980613 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/75 - d**5\/25 - d**4\/10 + 8*d**3\/15 - 4*d**2\/5 + 75*d. Factor x(p).\nAnswer: 2*(p - 2)*(p - 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Let m(j) = j**2 + 10*j + 16. Let l be m(-8). Let n(x) = -x**2 + l*x**2 + 3*x**2 + 9*x**2. Give p(n(o)).\nAnswer: 121*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 2*u**2 - 1. Let d(k) = 1090*k**3 - 1744*k**2 + 872. Determine d(t) + 872*h(t).\nAnswer: 1962*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 696\/261*(8\/(-20))\/((-16)\/(-25))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216267 - 7591090.\nAnswer: -7807357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r*r*(r\/((r**(-2\/71)*r*r)\/r))\/r))*r)\/r**15)\/(r\/(r*r**12)*r\/r**(1\/36)*r*r) assuming r is positive.\nAnswer: r**(-7525\/2556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 not equal to 2\/709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 8. Give x(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1999\/387 - -1\/774. Suppose 3*b = -m + 227, 5*m + 6*b - 1200 = 4*b. Let c = 2427\/10 - m. Calculate the common denominator of c and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -20729*d + 4208009. What is x(203)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-2) + (5 - 5). Let h be (-2)\/j*(-2)\/5. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43121 divided by -31\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 92*w + 5. Let t(o) = 70*o + 4. Let p(b) = 3*a(b) - 4*t(b). Suppose -2*z + 20 = -0*z. Suppose -z = -2*s + 3*g, 2*s + 2*s - 12 = 2*g. What is p(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 104280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-1)\/(-2)) + 0\/((-270)\/10). Solve 0 = 5*x - p*z - 25 + 2, 4*x - z = 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-20) - (-1)\/2. Put b, -0.1, -2\/5 in descending order.\nAnswer: b, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 55. Solve 0 = -5*k - 5*d, d = -k - a*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 + -77. Calculate the greatest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 2. Let g(q) = q + 2. Let l(p) = p + 1. Let y(k) = 2*g(k) - 3*l(k). Calculate 3*a(h) - 6*y(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**2 - 4*r - 24 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) -6\/37 (c) -5 (d) 0.2 (e) 71.1 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.91454325 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 15*a - 24. Let w be c(-13). Let l(m) be the first derivative of 1\/4*m + 1\/12*m**3 - 10 + 1\/4*m**w. Factor l(s).\nAnswer: (s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -6*g**5\/7 - 131676*g**4\/7 - 131610*g**3\/7 + 1316652*g**2\/7 - 150480*g = 0.\nAnswer: -21945, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 26 = 16. Let u = -40 - z. Solve 3*q + 4*d + 4 = 0, u*d = -2*q - 0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 7*d - 17*d. Solve d*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5216185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 14*h - 30*h - 9. Let p = -55 + 221\/4. What is the nearest to p in h, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -27*h**2 + h - 5. Let z be g(0). Let t be -8 + 7 + (-2 - -8). What is the biggest value in t, -8, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 95920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.72 take away -0.040781824525?\nAnswer: -36.679218175475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/17115 and -1\/180.\nAnswer: 205380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48077912156.00000221 - 48077912356. Let t = 216 + -416. Let i = t - w. What is i rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 933 - 463. Let y = -452 + x. Calculate the least common multiple of 14 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215407763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - -88?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = 0, -4*y - j - 3*j - 20 = 0. Let z = 0 - 1. Let l = -0.6 - -0.3. What is the closest to z in -4, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*p - 2*x + 1, 0 = -3*p + x + 35. What is the greatest common factor of p and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + -8 + 22 - -2) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 81 - 1002*h**2 + 34 + 2.\nAnswer: -1002*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 4*v - 3*v + v. Let m(r) = -2*r - 3*r**2 + 2*r. Determine d(m(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x + 780 - 780.\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (1 + sqrt(2299)*-2) - (sqrt(2299) - (-4*sqrt(2299) - sqrt(2299)))*6)*6)**2.\nAnswer: 26136*sqrt(19) + 90130032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2111000*j + 237*j**2 + 2111000*j. Let g(i) = 13*i**2. Determine d(g(k)).\nAnswer: 40053*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15783*u - 4344*u - 24664*u - 22536*u - 35632*u.\nAnswer: -71393*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 40*i + 284. Let d be j(-31). Let v be 1*(6 - d) - 228\/(-4). Calculate the greatest common divisor of 29 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -288 + 291. Let y(w) = 3*w**2 + 45*w. Let f(a) = -3*a. What is j*y(v) + 45*f(v)?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -712, -724, -738, -748, -748, -732?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.02132047?\nAnswer: 0.08528188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30816080 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + (-4 - (-3 - -3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -1 + 5. Is (0\/y - -1) + 36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 5*p - 3*p - 3*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 637364?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t + 19. Let x be a(2). Solve -9 = 2*o - k, -o + 3*k = x*o + 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4743\/2418*204\/(-867)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-1 - (8 - 7)) + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + 6*r + 18*r to the form c + y*r and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 + 7 + -10. Suppose -7*p = -12*p + 65. Let w = p - 12. Let s(u) = -1. Let l(d) = -2*d - 4. Calculate c*s(g) + w*l(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013769733 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 16*c**3\/3 + 2321. Let v(q) = -q + 133. Calculate v(s(p)).\nAnswer: -16*p**2 + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/153 + 161\/612. Let f = 5.4 - 0.4. Let s = 0 - -0.2. Which is the nearest to s? (a) 4 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.98 + 2.02. Let n = 3170 - 3170.3. What is the closest to 1 in j, -5, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2\/2 + 31*b + 1458. Give n(14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -3*h**8\/28 - 16*h**7\/21 + 29*h**6\/30 + 4*h**5\/3 + 1591*h**2. Determine w, given that a(w) = 0.\nAnswer: -5, -4\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3 = 3*g, -10 = -5*g - 73*c + 68*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjc when three letters picked without replacement from {c: 1, a: 2, j: 1, h: 1, y: 1, q: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/33 (b) 2\/337 (c) -10 (d) 0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gykg when four letters picked without replacement from kgmgggggkggkgyg?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 46*s - 18*s - 22*s + 1 + 3. What is k(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 8*o - 7. Let p be u(7). Solve -v**4 + 4*v + p*v**5 - v**5 - v**3 - 2*v**4 - 2*v + 3*v**2 = 0 for v.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + 60 + (-20 - -133).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -351 - -156. Let c = 195.0000083 + d. What is c rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22773? (a) 5 (b) -0.2 (c) 1\/6 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*a, -2*w + a - 19 = -4*a. Let r be -9*((-39)\/9 - -4). Find the second derivative of 0*n - n - 3*n**3 + r*n**w + n**5 wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -2 - -13 - (-9 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9640471 + -2714690. Suppose 5*p - b - 28574219 = 0. What is p rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 11. Let v be i(6). List the prime factors of (-110)\/(-4) - v\/(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmvttvzftmzmwv. Give prob of sequence vwmv.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (-57 + 106) - (2 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/135*(-2 + 7))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 583, 609, 635, 661, 687, 713?\n\"Answer: 26*k + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -29*u - 509. Let t be v(-17). Put 0, -1, t in ascending order.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 428, 438, 448, 458, 468?\n\"Answer: 10*u + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42643421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2299) + -1)**2*-2.\nAnswer: -4606 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 7:59 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 22857b4?\nAnswer: 22857b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -11, -3\/5, 2\/13 in increasing order.\nAnswer: -11, -3\/5, 2\/13, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -27230.4*-0.1\nAnswer: 2723.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120 - -1?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 5. Let i be p(-6). Let z be 0\/((-6 + 0)\/6). Let u = z + i. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = 11. Suppose 30 = -s + q*s. Let i = 11 + -1. Calculate the greatest common divisor of i and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -488689693 divided by 1400257?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 - 24*k - 9. Let l be b(-7). Suppose 5*a - l - 3 = 0. What is the second derivative of -21*n**5 - 3*n**2 - 8*n + a*n**2 + 10*n**5 wrt n?\nAnswer: -220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Calculate the common denominator of (790\/36)\/(25\/15) and (y - (-103)\/(-28))*2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117690 - -118266.37. Round a to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*r*y + 422*r + 26*y**4 + 1 wrt y?\nAnswer: -45*r + 104*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 2*w**2 + 2. Let o = -15 + 19. Let c be (2 - -8)*1\/((-10)\/o). Is g(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 286, 1098, 2446, 4324, 6726, 9646, 13078?\n\"Answer: -r**3 + 274*r**2 - 3*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37803845, -75607689, -113411533, -151215377, -189019221?\n\"Answer: -37803844*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1983 - 1234 - 1639)*(-3*f**2 + f**2 + 5*f**2) - 2*f**2 + 4*f**2 - 4*f**2 + f in the form l*f + c*f**2 + s and give c.\nAnswer: -2672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 12949.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -29*w**7\/105 - 23*w**3\/3 + 81*w**2. Find the first derivative of h(o) wrt o.\nAnswer: -232*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9473023 a multiple of 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 321, 734, 1323, 2094, 3053, 4206, 5559?\nAnswer: 7118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*((-184)\/128)\/23.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468300 rounded to the nearest ten thousand?\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -67*h - 3. Give q(-4).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrhr when four letters picked without replacement from {r: 1, w: 5, h: 1, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1072*d = 1091*d + 5*v + 219, -d + 3*v = 5 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(1\/((-228)\/18)). What is the highest common factor of x and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*g - 178*g + 1141*g)*(2*g - 1 - 4*g - 1).\nAnswer: -1890*g**2 - 1890*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*3\/(-6)*0. Suppose 5*q - 31 + 11 = v. Sort -2, q, 1 in ascending order.\nAnswer: -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 28 = -4. What is the closest to -23 in 0, 2, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -1.1. Let p = o + 5. Let s = -26 + 28. Which is the nearest to s? (a) p (b) 2\/15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/29 + -115\/203. Let k be (6\/14)\/((-3)\/(-3)). What is the biggest value in z, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 21*b + 44. What is g(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a - 80. Calculate the least common multiple of 20 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i - 21. Suppose -i*y - 37 - 19 = 0. Let w be (0 - -1)*(y - -8). Which is the closest to 1\/3? (a) w (b) -0.1 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*n - 40184 = -56445 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485139 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020012 (base 3) to base 4.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8337.5406 minutes?\nAnswer: 5.78995875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -374419\nAnswer: -22\/374419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14798*l**2 + 45 + 14800*l**2 + 97.\nAnswer: 2*l**2 + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2108332336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + (-3 + 5 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 121*c**4 + 583*c**3 + 339*c**2 - 1044*c.\nAnswer: c*(c - 1)*(c + 3)**2*(c + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3, v: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x**2 - 1255*x + 423. Determine o(-84).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 400768, 800462, 1200156, 1599850?\n\"Answer: 399694*d + 1074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/30*-18)\/(4 + (-9462)\/2280)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3918 - 3840 = -u, u = -4*o - 306 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.47680104 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11905851 a multiple of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 3*o + 2. Let y(m) = m**2 - 3*m + 1. Let q(s) = -2*f(s) + 3*y(s). Let x be q(-4). What is the tens digit of (x*12\/(-40))\/(1\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1039 = -3*c + u, 3*c - 4*c = 4*u - 329. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -3. Let v = j + -4.7. Let k = -3 + 0. Which is the third smallest value? (a) k (b) 2\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*c - 360\/7*c**3 - 8\/7*c**2 - 180\/7 - 4\/7*c**5 + 188\/7*c**4 = 0. Calculate c.\nAnswer: -1, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -3*w**5\/5 + w**4\/24 - 7*w**3\/6 + 7*w**2 + 24. Let t(j) = 12*j**2 + 2. Give 7*t(v) + 2*y(v).\nAnswer: 12*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*y - 8 = 27, 4*y - 20 = 0. Let j be r\/(-14) - (-2 + 2). Let i = -1231.3 - -1231. Is j greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*z - 18 + 5, 0 = x - 3*z - 23. Solve -x*l = -16*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-7 + 9 - -4 - -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, s: 1, p: 2, g: 1, r: 2}. What is prob of sequence pt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2434 - 3873. Let q be 1\/3*(-14 - c). Suppose 4*g + 2*w - 285 = 95, -3*w = -5*g + q. Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from nhcti?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*-1 - (-30 - 5) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.15 (b) 6\/7 (c) 5 (d) -26274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7826.286 minutes?\nAnswer: 130.4381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -18*y + 172. Let b(z) = 22*z - 171. Give 5*b(r) + 6*p(r).\nAnswer: 2*r + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from mmwdwwwmwdddddmd?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276300 and 64230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + -2*sqrt(243)).\nAnswer: -sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4555 (base 6) to base 14\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 336?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k**2 - 3*k**3 + 9*k**2 + 11*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1322231131 (base 4) to base 13\nAnswer: 147a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 9) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 109364255 divided by -21851?\nAnswer: -5005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 199, 198, 197, 196, 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.00496666720765 and 1.\nAnswer: -9.00496666720765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 267*l + 318. Let r be s(6). Calculate the highest common factor of r and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 20 = 0, 39 = 5*k + t - 2. Suppose -g - 5*y = -9, g + 4*g = -5*y - 15. Calculate the remainder when (32\/6)\/((-2)\/g) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 10:28 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720464?\nAnswer: 2, 37, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0.5, -2\/77, -110.7, 1\/5 in descending order.\nAnswer: 2, 0.5, 1\/5, -2\/77, -2, -110.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5100168, 5100171, 5100174?\nAnswer: 5100177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -96, -669, -2222, -5247, -10236, -17681, -28074?\n\"Answer: -82*f**3 + 2*f**2 - 5*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-4 - -14) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -8*h + 2*h. Let s(z) = z - 3*z**2 - 3*z + h*z**2 + 2*z**3 - 1. What is the units digit of s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**3 - 20*o**2 + 21*o + 13. Let v(x) = -8*x**3 + 21*x**2 - 22*x - 13. Let t(j) = -7*c(j) - 6*v(j). Does 28 divide t(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/5 - 854*v**4 - 4254*v**3\/5 + 29902*v**2\/5 + 55496*v\/5 + 25608\/5 = 0. What is v?\nAnswer: -2134, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -22. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/59)*a\/(a\/a**(1\/2))*a*(a*a**2)\/a**(1\/2) assuming a is positive.\nAnswer: a**(234\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 = 21*j + 80. Suppose 0 = -0*m - m + 2. Suppose -3*s + 42 = -4*v, m*v = 2*s - 2*v - 28. Calculate the greatest common divisor of j and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66464 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.8 + 0.8. Let n = -2241 - -2239. Which is the third smallest value? (a) q (b) 2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1649397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 597404*n\/3 - 44611442402\/3.\nAnswer: -2*(n + 149351)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 29*l - 18. What is the tens digit of c(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5728 divided by -2864.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 177\/2*w**3 + 45\/2*w**4 - 10*w + 61*w**2 - 12 = 0.\nAnswer: -3, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - 7) + 9 - (6 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (5 - -6) + 3255. Suppose -j = -2745 - v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14*m**2 - 101*m - 200. Give b(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.248 and -256.4.\nAnswer: -319.9872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 1:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 629 + 31. Suppose -b + 308 = 11*f. Solve -j = -7*j - f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6228751606 to the nearest integer?\nAnswer: 78922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 1242*m**2 + 18081*m + 22. Give u(-15).\nAnswer: 1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(24)\/sqrt(2) + sqrt(12))*-4.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*-0.3.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z + 5*k - 700 = 0, -z - 3*k + 140 = 0. Let l = z - 15. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -91. Solve y = -3*n + 1 + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*f + 3*x, -x = -5*f + 2*x + 67. Let a(c) = -c + 20. Let z be a(f). Let w = z - 5. Solve 3*r = -5*m - 3, -m + w*m = -r - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 87\/12 + (-1)\/4. Suppose -o*u + 5*u + 36 = 0. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 2. Let q(f) = 5*f - 72. What is the smallest common multiple of q(15) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -5 in descending order.\nAnswer: -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*-1*-5 - (sqrt(170) - (sqrt(170) + -2*sqrt(170) + sqrt(170) + sqrt(170))*-5))\/((4*-2*sqrt(50))\/sqrt(5)))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1297*u - 44660 - 5294 - 4520 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64614 (base 7) in base 8?\nAnswer: -37323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*l - 59, -4*q + 197 + 139 = -4*l. Suppose q*u - 12 = 73*u. Solve 3 = -3*b + 4*i + 15, -u*b + i + 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1. Let t(h) = h**3 + 2. Suppose 4*k - 10 = 5*b, b = k + 3*b - 9. Let l(f) = k*o(f) - t(f). Determine l(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1324 + 276. What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 5 - 2795*l + 2798*l to g*l + o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.549*3\nAnswer: 10.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/13598460 and -101\/2520?\nAnswer: 190378440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3 - 2*m**2 + 3*m**2 - 1 - 2*m - 9. What are the prime factors of u(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-107)\/(-27) - 4). Let q = x + 39. Let s be (-34)\/(-3) + (-4)\/(-6). Are q and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4 - 81*l**3 - 411*l**2 + 1845*l - 1350 = 0.\nAnswer: -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 71*a**2 - 55*a**4 + 5*a**5 + 77*a**2 + 14*a**2 - 7*a**2 + 260 - 70*a**3 + 500*a - 75*a**3 = 0. Calculate a.\nAnswer: -2, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 2*m**2 + 6*m + 1. Let p be s(-4). Let b = p - 3. What are the prime factors of ((-9)\/2)\/(b\/(-8))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3496030049 to the power of 1\/3, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -4\/443 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.577986 decades?\nAnswer: 0.06577986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/336)\/((-1)\/4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1005793529 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -571 - 59?\nAnswer: -5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 135, 202, 267?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 197*t**2 + 192*t. Let w be r(-1). Solve w*o + g = 5*g - 30, -2*o = -2*g + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 10*q - 110. Solve -4*i - 2 = -q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890183819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t - 1. Let q(r) = r**2 + 3*r - 2. Let h(p) = -2*o(p) + q(p). Let b(g) = g**2 - 2*g. Give 3*b(n) + 6*h(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-172467.\nAnswer: -17246.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -1\/9, 0.2, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -k + 8, 3*k - 2*k - 28 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776856983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 4*m**2 + 2*m - 2. Let h be w(-2). Suppose 2231 = 3*a + h*t - 4*t, 0 = -2*a + 4*t + 1482. Suppose -8*c = -3*c - a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = 5*p - 9*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (sqrt(272) - (5 + sqrt(272) + 4) - sqrt(272)) - (sqrt(272) + sqrt(272)*1 + 0))**2*-6.\nAnswer: -7014 - 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(3\/4))**(2\/31)\/((x*x**(-1\/8)\/x)\/x)**37 assuming x is positive.\nAnswer: x**(10351\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3770.838 + -0.162. Is 2 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 3546.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -276, -2131, -7142, -16887, -32944, -56891?\n\"Answer: -263*w**3 - 14*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 1\/144*a**8 + 0*a + 0 - 1\/72*a**4 + 17\/180*a**6 - 13\/315*a**7 - 15*a**2 + 1\/9*a**3 - 4\/45*a**5. Factor y(k).\nAnswer: (k - 1)**4*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + n**3 + 0*n**3 + 2*n**3 + 39*n.\nAnswer: 2*n**3 + 39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 357 - -5276. Suppose 0 = 5*w - 9*w + 3*h + 7513, 4*h + k = 3*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 37*o + 28*o**2 + 16*o.\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-5)\/(25\/(-792)). Let f = d + -160. Let m(v) = -v**2 + 2*v - 1. Let l be m(2). Do l and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.0300014 + 2.03. What is d rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 5*w, -81*w + 174*w + 5 = 3*c + 97*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k + 0*k + 2*k - 3. Let m be c(-2). Let n be (m - 3)\/(2 + 0). Solve -6 - 4 = -v + 3*f, -4*f - 8 = n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 - 714*m**2 + 240*m + 225388. Give s(-237).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2424 is divided by 740.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 4)*(-4*i**2 + 4*i**2 + 2*i**2) + (0*i + i + 0*i)*(1 - 1 - 2)*(-13*i - 22*i + 10*i).\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/53, -1\/4, -4 in ascending order.\nAnswer: -4, -1\/4, 4\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -40 (b) 246 (c) -0.3 (d) -5 (e) -3\/7 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 11*g + 1. Let m(k) = 3*k**2 + 21*k - 3. Let n(w) = 6*m(w) + 10*s(w). What is the remainder when 40 is divided by n(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 143271*t + 6162502. What is a(43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4750 times 200\nAnswer: 950000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 0.1, -46220, 42, 0.2?\nAnswer: -46220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n - 10. Suppose y + 5 = n. Find p, given that 2\/3*p**4 + 4\/3*p**2 - 2*p**3 + 0 + y*p = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {r: 1, v: 5, d: 2, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244*151\/73688*2\/62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1193940 and 308.\nAnswer: 8357580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79\/1443 - -1\/1443. Which is the nearest to 0.1? (a) 5 (b) 3\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -2*c**3\/3 - 2*c**2 + 3*c. Is m(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-12 + 4) - -20) + -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23635 divided by 163.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -804*a + 804*a - 730*a**4 - 915*a**4 + (-5*a**4 + 3*a**2 - 3*a**2)*(3 - 3 + 2) in the form l*a + q*a**4 + x*a**2 + k + f*a**3 and give q.\nAnswer: -1655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153*a**2 + 17*a**2 + 2 + 87*a + 122*a**2 + 48*a**2 wrt a?\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 45.7 (b) -5 (c) -1 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 - -293. Let z(v) = r + 5*v + v - 4*v. What are the prime factors of z(0)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 3. Let b(u) be the first derivative of u**3\/3 - 4*u**2 + 9*u - 10. Let k be b(7). Calculate q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + h - 3*h**2 + 2*h**2 - h**2 + 4*h**2 + (0*h + h - 2*h)*(-h + 0*h - h) + (-4 + 0 + 2)*(0 + 0 - h**2) in the form i*h + a + c*h**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 6*r. Suppose -3*h = -2*k - 112, k - 3*k + 2 = r. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*h - 2*x + 11, 0 = -3*h - 4*x - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-1)\/2 - 3. Does 24 divide q\/4 - 1100\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 7*v + 1. Calculate r(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 6*r**2 - 24*r + 113. Give f(0).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2\/7 - 18*r\/7 + 32\/7 = 0.\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36167*j - 6 = 3*u + 36164*j, 17 = -3*u + 14*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 - 20*c**3 - 7*c + 7*c + c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 5 + 2 + 77. Let o = -33 + n. Suppose -7*u + r = -3*u - 64, -3*u + 2*r + o = 0. Solve u = 5*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/44 and 113\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2310 and 1540?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgjjjgnjn. Give prob of sequence jng.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6*(-25)\/((-3375)\/10)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 20*z + 4*z)*(5*z**4 + z**4 - 4*z**4) + 2*z**5 - 3*z**5 + 0*z**5 + (2*z**2 - 6*z**2 + 3*z**2)*(-z**3 + 0*z**2 + 0*z**2) + 0*z**4 + 0*z**4 + z**5.\nAnswer: -31*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 2*t + 2*t + (23 + 33*t - 23)*(2 + 3 - 2) + t + 0*t + t + (2*t - t - 2*t)*(2 + 4 - 5) - 5*t + 2*t + 0*t in the form v*t + b and give v.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 20 = -4*g, 2*r + 2*r - 4*g = 32. Suppose -r*j = -s - 3*s - 104, -j - 3*s = -14. Let n = j + -23. Let m(l) = -l**3 + l**2 - 9. Determine m(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22168523 divided by -6.\nAnswer: 22168523\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 20394 = -1815*i - 1600*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 0 + 0)*(2*y - y - 3*y) - 18501*y - 368*y**3 + 18501*y to the form c*y**2 + s*y + w + l*y**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*i + 2 - 2 = -199*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29821, -59635, -89425, -119179, -148885?\n\"Answer: 2*l**3 - 29828*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*x - 54 - 0, -9 = 4*w - w - 69092*x + 69095*x - 60 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -436 - -439. What is the second derivative of 85*b - 4*b**3 - 55*b - b**s - 54*b + 2*b**3 wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:06 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:13 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2602*c**2 + 12 - 996*c**2 - 6 to u + y*c + b*c**2 and give b.\nAnswer: 1606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1109896295*a - 1109896282*a + 4.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -119.836. Round y to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 400168*i**3 + 400167*i**2.\nAnswer: i**2*(i + 1)*(i + 400167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p + 2*p)*(-1 - 3 + 0).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -602\/15 < -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-1428)\/(-85)*(1701\/(-441) + 6\/2).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9) - 224\/684.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 82 - 2*j - 33*j**4 + 2*j + 32*j**4 as b*j**2 + h*j**3 + f + x*j + z*j**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23969798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25691846711238 - 0?\nAnswer: -25691846711238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325955 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 9. Does 5 divide f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3335737179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x - 30. Let f be y(-11). Let c = -23 + f. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 16*g**2 + 44*g - 91. Let d be b(16). Solve 5*w = 633 - d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*o - 593 + 6033 = 157*o + 119*o for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjhhjjjhjjjjjjjj. What is prob of picking 4 j?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 905, 6205, 20807, 49367, 96541, 166985?\nAnswer: 265355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.7 - 25.3. Suppose 4*t + 6 = 2. What is the second biggest value in 1\/2, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:31 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29628224 to the nearest integer?\nAnswer: 5443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, m: 1, j: 4, k: 1, r: 3}. What is prob of sequence mtj?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddh when three letters picked without replacement from divdvdhihvdr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 5467 - 5473 - 5*c. Let z be (-2 - (-6)\/5)*5. What is the remainder when v(z) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**3 + 0*f**3 - 19*f**3 + 59*f**3 + 202*f**3 - 56*f**3.\nAnswer: 172*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1104 or 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from {r: 4, t: 1, o: 1, f: 2, n: 3, c: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.79 in -9, -4, -1\/2, 2\/19, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/330 and 167\/1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -123 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 39*m**2 - 5*m - 4. What is v(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/36625 and -59\/50.\nAnswer: 73250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -32\/3*m + 24*m**2 - 56\/3*m**3 + 0 + 6*m**4 - 2\/3*m**5 = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2012*-543.\nAnswer: 1092516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7070 divided by 505?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + -1 + (sqrt(80) + sqrt(80) + (-5*sqrt(80)*6 - sqrt(80))**2 - -3*-3*sqrt(80)) + -3.\nAnswer: -28*sqrt(5) + 76870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*p + 410 = -5*m - 172*p, p - 283 - 1040 = 16*m for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -333 + 328. Which is the nearest to l? (a) 12 (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462762 is divided by 3594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148469.\nAnswer: 148469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 3. Let a be z(9). Let x = a - -38. Find the third derivative of -x*j**4 - 7*j**2 - 101*j + 101*j wrt j.\nAnswer: -552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6092399 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: Simplify (-4*1*(sqrt(171) + (sqrt(171) - 6*(sqrt(171) + 2*sqrt(171)))))\/(-5*2*(sqrt(9) + -2*sqrt(81) + sqrt(9))).\nAnswer: 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 - 109. Calculate the remainder when u is divided by (-69)\/(-7) - 15\/(-105).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.306?\nAnswer: 0.1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:28 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189 - -190. Put 0.2, l, -5 in ascending order.\nAnswer: -5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 12. Let c(k) = -1. Give c(z) + h(z).\nAnswer: -z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95 + -37755?\nAnswer: -37660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2733411917.\nAnswer: 43, 63567719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s = -78*s - 46*s + 85. Which is the fifth biggest value? (a) 93 (b) 0.5 (c) 0 (d) 5 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnxn when four letters picked without replacement from {a: 1, e: 7, n: 3, x: 2, b: 4}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {a: 2, i: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-40) + 10\/(150\/201). Solve s*n = 18*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -12) + -5 + -9 + (-21 + 11 - 4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/(-32)*4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4287 - -4290. Calculate the lowest common multiple of 630 and m.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*a + 767 = -183*a - 38 - 110 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4064\/(-15) + 37\/111. Let r = 779323\/2880 + l. Is 0 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 2*y - 118, d - 689*y + 19 = -685*y for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 * -863828\nAnswer: -267786.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -j - o, -j + 3*o + 30 = 2*j. Suppose -6 = 20*m - 23*m. Let a(l) = 7*l + 9702*l**2 - m + 2 - l**3 - 9695*l**2. Determine a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 4*p**3\/3 - 18. Let w(t) = 4*t**2. What is w(l(a))?\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2688*f**3 + 5373*f**3 - 1384*f**2 + 5450*f**6 - 2685*f**3 + 10741*f**2 wrt f?\nAnswer: 654000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 45*s**2 + 72*s - 804. Calculate i(-43).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -8. Let c = k - 5. Solve -u + 0*u + c*b - 10 = 0, 4*b - 20 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89577820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -2)*34*5\/(-10). Let c = a + -28. Solve 2*d - 4 = c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (-6*sqrt(1584)*3)**2) + 0.\nAnswer: -513216 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8125224*p**3 + 8725837*p wrt p.\nAnswer: -48751344*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 = 7. Let j(m) = 6*m + 7. Let l be j(0). Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 - 3 - 3942*z**3 + 5 + z + 2*z**2 + 3938*z**3 to the form j*z**4 + y*z**3 + h*z + d*z**2 + s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4)*-9 + 21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -24 - -17 - -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-1 - 10 - ((3 - -1) + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1*4)\/((sqrt(96)*1)\/sqrt(8)) - (6*(sqrt(1573) - (sqrt(1573) - (sqrt(1573) + (sqrt(1573) - 2*(sqrt(1573) + sqrt(1573)*5))))))**2.\nAnswer: -5662800 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171736632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 7*z**2 + 8*z - 4. Let j = -7 - -13. Let u be m(j). Suppose 4*p + u = 6*p. Sort -1, p, 3.\nAnswer: -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-825)\/15*(-9456)\/591*2\/(-32)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1. Let r(s) = -s - 1. Let z(y) = y + 16. Let u be z(-11). Give u*m(a) - 6*r(a).\nAnswer: 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 176 = 56. Suppose 0 = 2*m - 5*m + 15. Calculate the greatest common factor of l and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:46 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**2*s**3*x + 7*n**2*s**2 + 8*n**2*s*x**2 + 2*n**2*s - 9567164*s**3*x**2 + 6964*s**2*x wrt s.\nAnswer: -12*n**2*x - 57402984*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(27)\/(sqrt(36)\/sqrt(36)) + 3)*2)**2.\nAnswer: 72*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2)\/r)\/r)**(-12\/7) assuming r is positive.\nAnswer: r**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4\/8 - 39*n**3\/4 - 399*n**2\/8 = 0. Calculate n.\nAnswer: -19, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 524 - 524 - 9*j. Let f(q) = -q**3 + 28*q**2 - q + 26. Let u be f(28). Let d(a) = 3*a. What is u*m(n) - 7*d(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50171433167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8882 + 2*f - 8820 + 17702 + 0*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9) + (-5180)\/(-6). Let c = -17377\/20 + a. Calculate the common denominator of c and 97\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 64, 97, 130, 163, 196?\n\"Answer: 33*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 13503.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 24 = -5*i, 3*f + 6 = 2*i - 1. Suppose 2*u = -i*k + 115, -2*k + 45 = -u + 2*u. Calculate the remainder when 48 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -211*b**6\/120 + 85*b**4\/24 + 165*b**2. Find the second derivative of h(w) wrt w.\nAnswer: -1266*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4950*h**2 - 1012*h + 506. Let v(u) = -49*u**2 + 10*u - 5. Let s(d) = -1012*v(d) - 10*x(d). Let j(q) = -18*q**2. Determine j(s(l)).\nAnswer: -139392*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1920 divide 2732741760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2*r**3\/3 + 14. Let j(h) = 44*h. Determine x(j(z)).\nAnswer: -3872*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 27884 = 650*x - 651*x, g - 5*x - 5596 = 0. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -898 - -912. Solve l*v + 6 = -8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**3\/3 - 13*f**2\/2 - 15*f + 13. Let l be a(-11). Let j = l + 11. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*d - 3*g + 6, -2*g = 3*d - 6. What is the third derivative of -274*z**2 - 3*z**6 + 9*z**6 + 5*z**6 + 259*z**d wrt z?\nAnswer: 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 150, 106, -28, -252, -566, -970, -1464?\n\"Answer: -45*n**2 + 91*n + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(-24) + -3 + (-14)\/(-3). Let x(n) be the first derivative of g*n - 1\/3*n**3 + 0*n**2 + 4 - 1\/4*n**4. Find the third derivative of x(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 9:42 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {e: 5, t: 3, w: 1, s: 1, i: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 638086, 1277672, 1917258?\n\"Answer: 639586*c - 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -168, -2\/5, -8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002177 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12019741 a multiple of 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -16*d - 12. Let x(t) = 5*t + 4. Let j(v) = 6*k(v) + 17*x(v). Suppose -2*l = -18*l + 240. What is the remainder when j(-3) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 521*n - 1129*n + 344*n - 792 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -1094.3343?\nAnswer: -1098.3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8527718519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268792, -537587, -806382?\nAnswer: -1075177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 17*v = 16. Calculate the highest common factor of v and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12c1a (base 13) to base 2.\nAnswer: 1000100010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let z(r) be the first derivative of m - 1\/3*r**3 - r**2 + 0*r. Find the second derivative of z(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/24 - 5*k**5\/12 + 5*k**4\/24 + 25*k**3\/6 + 43*k**2. Solve h(q) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 477 + -482. Is 5 - ((-9214 - 3) + g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177231?\nAnswer: 3, 59077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10632354 by 18.\nAnswer: 1772059\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.04512 to the nearest integer.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2515.7827 rounded to one decimal place?\nAnswer: -2515.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 7*f - 15. Let w be m(9). Suppose 133 = -4*d - 5*a, -5*d = -2*d + w*a + 96. What is the tens digit of (0 + (-17)\/3)\/(9\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258119311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-14)\/132)*635\/1905?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -60, 8, -47 in decreasing order.\nAnswer: 8, 3, -47, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40566?\nAnswer: 2, 3, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 38 + 23 - 20 + 12 - y to the form n + t*y and give n.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61359 and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 0*u**2 + 0*u**2 - 1 - u + 5. Let y be x(4). What is the highest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2 + 2)*(-12*g + 21*g - 2 - 8*g).\nAnswer: -2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 33040731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-21) + 2\/3. Let h(o) = -o**3 - 6*o**2 + 12*o + 7. What is the remainder when h(-8) is divided by (4 - -6)\/(a + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -1\/4*t**4 - 11 + t**2 + 34*t - 4*t**3. What is the remainder when 47 is divided by m(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 2175.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 0*o + 4*o)*(168*o**2 - 199*o**2 - 461*o**2).\nAnswer: -4428*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 9381 divided by -4540?\nAnswer: -9381\/4540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.5 - -19.\nAnswer: 64.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from pppppjjyypppp?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from ssohoqbboioiioi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 5:15 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/5 + (255\/(-50) - -2). Let w = 12 - 8. Let z be 0\/(-2) + w\/10. What is the nearest to -2 in -4, z, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + -7. Let s = -10 - y. Suppose s*j + 5 = -0. Which is bigger: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 921.6 - 911.227. What is a rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321283 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 154*g**2 + 8 - 781*g**2 to y + j*g + p*g**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18 and 79\/226.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2451*-0.07\nAnswer: -0.017157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2204 times 1\nAnswer: 0.2204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - 4*h - 6 - 24*h to x + p*h and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*t**3 + 1 + 2 + (-t - 3 + 3)*(4*t**2 - 3*t**2 - 6*t**2) + 1 - 2*t**3 - 1 + 1747*t**3 - 1742*t**3 + 7*t**2 - 4*t**2.\nAnswer: 10*t**3 + 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13283 is divided by 740?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1521, 1506, 1481, 1446, 1401, 1346, 1281?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*r - 47*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*i + 40 - 958. Let u be (9 - 84\/9)\/(11\/i). Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -798, -1674, -2628, -3660, -4770?\n\"Answer: -39*a**2 - 759*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**4 + q**2. Let o(v) = -v**2 + 18*v**4 - 669 + 5*v**2 + 35*v + v**3 + 669. Let p(z) = -o(z) + 4*u(z). What is the second derivative of p(n) wrt n?\nAnswer: -264*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23994373\/7 or -3427769?\nAnswer: -3427769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbrbrrbrrbrrbbbbrrb.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -1)*1*0. Suppose -2*b = -b + h - 52, 3*h + 228 = 5*b. Suppose -f + 12 + 4 = 4*s, -5*f - 4*s + b = 0. Solve r = 3*w - 5*w + f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 22712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 1\/8*o**3 - 9\/16*o**2 - 9 + 0*o. Solve y(f) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 11*z - 4. Let o = 1234 - 1239. Calculate j(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**6*x))\/x)\/x)\/((x\/(x\/(x**3*x*x*x)))\/x)*(x*x\/(x*x*x**(-5\/4)))\/x**(3\/5) assuming x is positive.\nAnswer: x**(-247\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 8 + 3*g + g**3 - 2*g + 7*g**2 + 5*g. Let r be f(-5). Suppose r*l + 9332 = 6*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10626 (base 10) to base 14.\nAnswer: 3c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 37*q**8\/42 - q**5\/20 + q**4\/6 - 546*q**2 - 2*q. Find the third derivative of s(l) wrt l.\nAnswer: 17760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -87, -25, 141, 447?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w + 3. Let r = -9 + 9. Suppose -f - w + 1 = r. Put 5, f, 4 in decreasing order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 2\/89, 1, -0.2 in descending order.\nAnswer: 1, 2\/89, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (5*sqrt(1872)*-4 - sqrt(1872)) + 5 + sqrt(1872) + -4 + 2)**2*-6.\nAnswer: -4493286 + 25920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2162347 and -3.\nAnswer: -6487041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*y = -52 + 36, 0 = 5*q - 5*y - 30 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 1227 = -22339. List the prime factors of q.\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-15)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*v + 2. Let t = v - 0. List the prime factors of (t*-1)\/((-3)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (58\/6)\/((-1)\/(-12)). Let p be (145\/(-6))\/(425\/(-2550)). Calculate the highest common divisor of f and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232 + -236. Let z(o) = -o**2 - 11*o - 6. Let y be z(-10). What is the remainder when 30 is divided by (w\/6)\/(y + (-292)\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13138842 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 14. Solve 0 = y + 5*q + 26, 3 = 5*y + 5*q + w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a micrometer in nanometers?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411 + -411.0257. What is q rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94022.32km in nanometers?\nAnswer: 94022320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 716916.7ml?\nAnswer: 716.9167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-963)\/(-32956)*132)\/(204\/56)?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -26. Which is the closest to 1? (a) s (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 39*r**2 + 483*r + 1300. Give f(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-72))\/((-3248)\/(-2388)). Let b = d + -1\/406. Let k(z) = -z**3 - 10*z**2 - 10*z - 9. Let t be k(-9). Sort 0.3, t, b, -1 in increasing order.\nAnswer: -1, b, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280*t**5 - 21*t**4 - 5*t**3 + 2*t**2 + 62738*t + 2.\nAnswer: -16800*t**2 - 504*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544095 is divided by 296.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131.692*0.186.\nAnswer: 24.494712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(8\/(-12) + 0). Let t(i) be the first derivative of i**2\/2 - 13*i - 393. Give t(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 + 39 = 0. Solve 2*x = -2*x + 3*k + 24, -4*k - r = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 8*p**2 - 5. Let i be j(8). Let s(q) = q + 2 - 2*q - 3*q. Is s(i) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. What is the second derivative of 0*g**3 + 0*g**j + 0*g - 2*g**4 - g wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1041 - 124012014?\nAnswer: -124013110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4 + 422*r**3 - 37432*r**2 + 1055802*r - 5698791 = 0.\nAnswer: 7, 51, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 8:30 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*a + 2 = -2*o, -2 = 4*a + 2*o. Let h = 3 - a. What is the second derivative of -h*f - 5*f - 4*f**3 + 6*f + 7*f wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -7 (c) 1\/10 (d) 9 (e) 1\/8 (f) -9.4 (g) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m*m*m**7)**(3\/37)\/(m**(-5)\/(m\/(m*m**(-6)\/m*m))*m**(-2)*m**0\/m) assuming m is positive.\nAnswer: m**(548\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*l**2\/8 - 1785*l\/2 - 396.\nAnswer: -3*(l + 264)*(9*l + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*z**3 - z**2 - z**2 + 460*z**3 + 2*z**2.\nAnswer: 334*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 3, -0.1, 4, 1\/8, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 29. What is the least common multiple of 8 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573847?\nAnswer: 573847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152808647 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: Suppose -7*d = -47*d + 440. What is the remainder when 1*(2 + 51\/1) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/242*11*(6 - 12 - -5). Let u = 0.13 - 5.13. Which is the second biggest value? (a) r (b) u (c) 0.61 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*1)\/sqrt(4).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.2 - -38.6. Let v = -12 - -9. What is the third smallest value in v, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*d - 317 + 116 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -1, -5 in descending order.\nAnswer: 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5*r - 6. Let a(t) = -t + 5. Let u(o) = o - 4. Let n(p) = -3*a(p) - 4*u(p). Let i(w) = 6*n(w) + s(w). Find b such that i(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, -9, -23, -39, -57?\n\"Answer: -l**2 - 9*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23231242 - -22?\nAnswer: 23231314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - -160. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627019 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 15}. Give prob of sequence hhzz.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 20 + 0)*(3*v - 5*v - 6*v)*(-4 + 1 + 0) to the form w + x*v and give x.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d**3 + 6*d + 5. Let y(t) = -17*t**3 + 9*t + 8. Let x(f) = 4*f + 8. Let u be x(-4). Let h(i) = u*v(i) + 5*y(i). Factor h(b).\nAnswer: 3*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.3 (b) 3\/5 (c) 5 (d) 6\/337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akatjttklaktaklaa. Give prob of sequence jll.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28962, -57897, -86814, -115719, -144618, -173517, -202422, -231339?\n\"Answer: -l**3 + 15*l**2 - 28973*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*y = -34, -4*y + 9*y = -2*i - 2. Suppose 15*c - 78 = 2*c. Is i > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/21726104 and 67\/151860?\nAnswer: 325891560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 2460?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2249, -7.7 in decreasing order.\nAnswer: 13, -7.7, -2249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**7\/4200 - z**6\/1800 + 2*z**3\/3 + 1. Let d(v) be the third derivative of u(v). Factor d(l).\nAnswer: -l**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14 - (4089\/66990)\/((-8)\/(-80)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -197444*h**2 - 237044.\nAnswer: -394888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyjyyyyjyyy. Give prob of picking 2 y and 2 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 at least as big as 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -21*i**2 + 10*i**2 + 7*i**2. Let v(o) = 13*o**2. Calculate x(v(u)).\nAnswer: -676*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2016225164?\nAnswer: 2, 37, 137, 99439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 41. Give z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 3}. Give prob of sequence pee.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**0)**(-8))**13)**(-2\/3))**(-23\/5) assuming l is positive.\nAnswer: l**(-4784\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - -107. Let y = r + 35. What are the prime factors of y?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -1 (c) -5 (d) -1\/4 (e) -4 (f) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -55, -86, -119, -154?\n\"Answer: -r**2 - 26*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 61*g**3 + 386*g**2 + 416*g - 864.\nAnswer: (g - 1)*(g + 4)**2*(g + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/10 + -4)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 461400 and 32.\nAnswer: 1845600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 2811938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300150 by 150.\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*t**3 - 94*t**3 - 26*t - 88*t**3 + 264*t**3 + 2*t**2 - 1 to y*t**3 + x*t + s + p*t**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -21. Let t(g) = -4*g + 4*g + a - g + 4*g. Let q = -1 + -3. Calculate t(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.608 and 16.4264?\nAnswer: 18.0344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbkk when four letters picked without replacement from kkkkkkkkkkbbbkkkbkk.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*h + 23, 0 = -4*h - 6*c + c + 1. Is -499*(-2 - 2)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 - 35*x - 6. Let h be m(7). Is -14\/3 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/18*1\/2. Suppose -n*t + 27 = 7. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = -c - 2, -2*c + 1 = -3*x. Solve 4\/7*o**4 - 4\/7*o**2 - 2\/7*o**x + 2\/7*o + 0 + 0*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-6)*(-75)\/(-125). Factor 0*j**2 + 3\/4*j - u - 1\/4*j**3.\nAnswer: -(j - 1)**2*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 85*j + 3. Let b be z(-3). Let y = 57469 + -404050\/7. Let c = y - b. What is the smallest value in 1, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 35158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + -4*sqrt(70)*1)\/(sqrt(120)\/sqrt(108)) + (sqrt(28)\/(3*sqrt(4) - sqrt(4)) - (sqrt(252)\/sqrt(4))\/sqrt(9))**2.\nAnswer: -9*sqrt(7) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -20811\nAnswer: 83244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -720 + 722. Suppose 4*f - 27071 = w, t*f + 1844 - 15369 = -3*w. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4434*s**2*v**3 - 629*s**2*v - 497*s*v**3 + 6136*s*v wrt s.\nAnswer: -8868*v**3 - 1258*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0*a + 2*a**2 + 1\/300*a**5 + 2\/3*a**3 + 1\/900*a**6 + 0*a**4 + 0. Let v(b) be the first derivative of c(b). Factor v(w).\nAnswer: 2*w*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -686 divided by -2\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -12. Let q = 9 - o. What is the smallest common multiple of q and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 24, -16, 0, 4, 5, 1894 in decreasing order.\nAnswer: 1894, 24, 5, 4, 0, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -1)*5)**2.\nAnswer: -550*sqrt(2) + 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-143088494.\nAnswer: -57235397.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -70015 (c) 2\/11 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 6:18 PM?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 197317093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/7 + 3*v**3\/7 - 18*v**2\/7 = 0 for v.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1354305 (base 6) to base 7.\nAnswer: -441530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 123. Let q be i(-24). Solve 3 = -q*w - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 20*w**2 + 19*w + 2. Let i be o(-19). Solve -i*r = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 26*x = -4*q - 33, -667 = -168*q + 5*x - 118 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 3*f**4\/4 - 8*f**3 - 18*f**2 + 30*f. Solve c(y) = 0 for y.\nAnswer: -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 876 + -530. Calculate the remainder when n is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2, 9038544?\nAnswer: 9038544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10615 + 34?\nAnswer: 10650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 373*i - 2911. Determine y(-365).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/304*1\/2*(-1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 54. Let z be 6\/x + (-27)\/(-7). Solve 4*d + 0 - z = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21236, 42427, 63574, 84677, 105736, 126751, 147722?\nAnswer: 168649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1410 and -67\/30.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -17*b**2 - b. Let q(x) = -4*x**2 + 3*x + 3. Let c(g) = 3*g**2 - 2*g - 2. Let p(n) = 5*c(n) + 4*q(n). Let i be p(3). What is k(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150818201*t**5 - t + 55351441?\nAnswer: -3016364020*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56, 72, 88, 98, 96, 76, 32?\n\"Answer: -g**3 + 6*g**2 + 5*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 859, 885, 937, 1021, 1143?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*s = -1824, -d - s - 619 = 4*s. Let f = -325 - d. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -370650.849 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107198 divided by -4.\nAnswer: -53599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*v = -4. Let u be 1865\/20 + v\/4. Let w = u + -54. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g - 13*g + 19*g)*(1 - 5 + 2)*(4 - 4 + 2*g).\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266394.83 times 3?\nAnswer: 12799184.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -16*d**3 - 9*d**2 - 6*d - 1. Let r(o) = 5*o**3 + 3*o**2 + 2*o. Determine -2*m(f) - 7*r(f).\nAnswer: -3*f**3 - 3*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4183255 * 0.3.\nAnswer: -1254976.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13281113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 911560 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24078 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - r - 8 = 0, -t - 3*r - 6 = -r. Let n(m) = m - 12. Let g be n(0). List the prime factors of (3\/t)\/(6\/g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 583 = 1600. Let b be 0 + -1 + r\/(-9). Let j = 39 + b. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 + 8*a**3\/3 + 1081*a**2. Let v(u) = u - 1. What is -3*v(q) - x(q)?\nAnswer: -2*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92289\/41 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 184813380 to the nearest one million.\nAnswer: 185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x + 38*x - 160 = 0. Let u = 29 - x. Let f(c) = -170*c**3 - 5*c**2 - 6*c - 13. Let k be f(u). What is k rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 143*n - 138*n + 22 = 0, -4*z = -2*n - 48. Let q = 15 + -13. Solve l + 11 = 2*i, 4*i - z = -q*l - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/8*(-3276)\/90. Calculate the greatest common factor of 65 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 10*g**2 + 9*g + 2. Let v be h(-9). Suppose 3 + 5 = v*k. Suppose -2 - 4 = -2*x. Solve w - 14 = -2*p - k, 4*p = x*w + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(10\/11)*u)\/u)\/u*u**(-10)*u**(-4\/5)*u**(3\/8)*u)**(2\/65) assuming u is positive.\nAnswer: u**(-3747\/14300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by (-4500)\/(-135)*6\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 57 - 18005*d - 15 - 18 - d**2 - 23.\nAnswer: -2*d**2 - 18005*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5018496 and 118272?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 140 and 3.80872?\nAnswer: 533.2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -41, -111, -233, -425, -705?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 11 (c) 1 (d) 2 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20614.63 litres to millilitres.\nAnswer: 20614630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:15 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-91)\/(-21)*2*9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755*z + 1326*z + 172593 = 2107*z + 68617 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*l**2\/3 - 2440*l\/3 - 14884\/3.\nAnswer: -4*(5*l + 61)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f = 15*f - 75 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/10)\/(((-112)\/24)\/7))\/(17\/(-595))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let a be -2*(2 - 0)\/(-4). Suppose 115*r + 35*r = 62*r. Put -4, r, t, a in descending order.\nAnswer: a, r, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 145 = -251. Let z = -1444\/11 + u. Calculate the common denominator of z and -27\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(680\/(-24))*58\/(-87)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t**3 + 38*t**3 - 48*t**3)*(-3*t**2 + 6*t**2 - 4*t**2).\nAnswer: 26*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 26*p**2. Let r(k) be the first derivative of 0*k + 252 + 3\/2*k**2. Calculate r(h(z)).\nAnswer: 78*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3594.02 - 3594. Which is the closest to -1\/3? (a) 2 (b) i (c) 3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - u + 107. Let k be b(-9). Suppose 3 = -4*t + k. Let a = -0.6 + 2.6. What is the nearest to 1 in -0.1, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/4, -3\/85, 5?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29.1318ns?\nAnswer: 0.0000000291318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viic when four letters picked without replacement from iiaafacafviaiha.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 1. Let o(y) = -3079*y**4 - 2*y**3 - 18*y**2 - y - 3. Let w(f) = -h(f) - o(f). What is the third derivative of w(g) wrt g?\nAnswer: 73896*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**3 + 8*v**2 - 2*v - 4. Let j(i) = -8*i**3 + 9*i**2 - 3*i - 5. Let o(h) = -6*j(h) + 7*m(h). Determine o(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttaa. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {v: 1, n: 2, f: 4, y: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -6.32?\nAnswer: 25.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1322 + -398. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.598 - 0.102. Let h = n - -26.4. Round h to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1183*z = -1167*z - 32. Let t(d) be the second derivative of 0 - 1\/90*d**5 + 0*d**4 + d + 4\/27*d**3 + 0*d**z. Factor t(n).\nAnswer: -2*n*(n - 2)*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = s + 34, 4*s - 4 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 59*a - 64*a = 25, 0 = -5*i + 3*a + 15. Let n = 8 + -11. Sort n, 0.1, i in increasing order.\nAnswer: n, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 162478?\nAnswer: 162479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j*j**(-6\/7))\/j))\/(j\/(((j\/(j\/(j**(-2)*j)))\/j)\/j)))**4*((j*j\/(j\/j**0)*j)\/j)**(-14\/9)\/(j**(2\/5))**(-35\/4) assuming j is positive.\nAnswer: j**(-1843\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220 (base 3) to base 15.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4 + 10832*q**3 + 654720*q**2 + 13126400*q + 87616000 = 0?\nAnswer: -20, 5476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7362329.5 rounded to the nearest one thousand?\nAnswer: 7362000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 218515069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36a0 (base 16) in base 14?\nAnswer: 514c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 7:21 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 435 and 870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217.42382 - -103.42615. Let g = -114 - r. What is g rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2475 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199.400016285 + 199.4. Round o to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1624070 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*b = -5*b + 91, 0 = 5*n - 3*b - 437. Suppose 6*f - 28*f = -n. Put f, 5, -16, -3 in ascending order.\nAnswer: -16, -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.78 + -58.22. Put 3, i, -1\/6, 1 in decreasing order.\nAnswer: 3, 1, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-28) + 72\/63\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111110 (base 2) in base 9?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -61*a - 533. Let v be b(-9). Solve -n + v = 5*f, 3*n + 12 = 2*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 14*m**2 + 17*m + 30. Let y be j(-15). Suppose 12*p + 18 - 18 = y. Solve 16 = 4*v + 4*w, -v - 2*w = -p*v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12252*b**3*i**3 - b*i**3 - 493*b*i**2 - 2*b wrt b.\nAnswer: 73512*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from iiniin.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 8:45 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 175*g + 9465. Calculate x(-54).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32379078 + -32379074.9999998. Let s = -12967 - -12970. Let r = s - x. Round r to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y - 4. Let i(z) = 27*z - 9. Let t(g) = 3*i(g) - 7*w(g). Is t(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 3*w**2 - 116*w - 534. What is l(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994515.\nAnswer: 3, 5, 66301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 18a?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(24) - (sqrt(288)*-2)\/sqrt(12)) - (2*sqrt(216))\/sqrt(9))\/(-3*sqrt(1452)*2 + sqrt(1452)).\nAnswer: -2*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -11*d + 57. Factor -46*q**2 - 35 + 75*q - 17*q**2 + 3*q**3 + 18*q**2 + 2*q**d.\nAnswer: 5*(q - 7)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w. Suppose 4*f - 10*m = -11*m + 59, 0 = 3*f - 5*m - 50. Solve w*y - 3*y = -f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4923, 5107, 5305, 5523, 5767?\nAnswer: 6043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077468.\nAnswer: 2, 3, 7, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105854 and 1211.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235*d**3 - 4 + d + 231*d**3 + 236*d**3 - 691*d**3 to the form g*d + j*d**3 + l*d**2 + o and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - t**3 + t**3)*(-t**2 + 0*t**2 + 3*t**2)*(2 - 2 - 3).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17169 is divided by 1903?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/17 - (-606)\/(-1717). Sort 2, 17, -24, f.\nAnswer: -24, f, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j**2 + j + 4*j - 6*j - 49*j**3 + 19*j**2 in the form h*j + v + r*j**2 + a*j**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001100110000010011 (base 2) to base 13.\nAnswer: -941c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*g - 1494 = 0, 4*g = 11*b - 8*b - 2237. Let z = 3762 - b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144 * -3.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32046*s**3 + 404514*s**3 + 68473*s**3.\nAnswer: 505033*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*((-6)\/9)\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*j + 85, 6 + 9 = -j - 4*f. Let t = 44 + j. Solve 2*k + 1 + t = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2 - (-2)\/4. Let q = 982 - 981.8. Which is the closest to q? (a) -0.5 (b) -2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -46*k - 1. Let g be l(-1). Let c(j) = -39*j**3 - 2*j**2 - 2*j + 4. Let d be c(2). Let n = 335 + d. What is the highest common divisor of n and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-7))\/v)\/(v\/v**7))\/(((v*v**(-4))\/v*v*v*v)\/(v**4*v)) assuming v is positive.\nAnswer: v**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 4, -5, -151, 6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102982, 112400, 121816, 131230, 140642, 150052, 159460?\nAnswer: 168866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 550 divided by -110\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 23*h + 20*h + 26*h + 2 - 79*h. Let z be y(-10). What are the prime factors of 48*z*((-17)\/3 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c + 256168 - 257521 = 0 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - t. Let w be z(1). What is the remainder when 45 is divided by 2 - 3\/w - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {r: 7, z: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1532*t - 23523 = 23538 - 103745 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 2*n**3 + n**4 + (-5 + 2 + 2)*(-6*n**4 + 5*n**4 - 12*n**4) - 2*n**4 - n**4 + 5*n**4.\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - 10*h + 3*h**4 + 16*h - 6*h - 1 to the form i*h**4 + r*h**2 + m + t*h + g*h**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/1991 - -10093\/137379. Is p < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344172769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 44, 158, 380, 746, 1292, 2054, 3068?\n\"Answer: 6*t**3 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.2. Let h = 0 - m. Let k = -2 + 4. Which is the smallest value? (a) k (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b + 7*b = -105750. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152884 divided by 2066\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1152*v + 1072. Let i(h) = -1152*h - 1082. Let j(x) = -6*g(x) - 5*i(x). Find the first derivative of j(c) wrt c.\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (6 - 7 - (-1 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/66, -466, 0.888, -2?\nAnswer: 0.888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61598.3 - -59023. Round w to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100111101100111111010111 (base 2) to base 7\nAnswer: -154315501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265 + 148 - 794*g + 797*g + 163.\nAnswer: 3*g + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42813610 is divided by 204.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orcrlccljpcloooccl. What is prob of picking 1 r, 1 p, and 2 o?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -2 (c) -0.1 (d) -0.06 (e) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1 (c) 5 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*v + 4585 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10202 + 201?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.4 + -103.6. Let o = w - -113.99788. Round o to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 95735670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1854 and 16\/18849.\nAnswer: 113094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18\/13 + 3\/26. Suppose -288 = -5*c - 11*c. Let m be c\/(-756) + (-1)\/7. Put m, 1\/5, -2\/5, k in decreasing order.\nAnswer: k, 1\/5, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 10*q - 7. What is the remainder when b(-6) is divided by (2 - 0)\/(1\/16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 9. Let u be y(-4). Suppose 2*w - u + 1 = 0. Let s = -2 + w. Put s, 2, 1 in decreasing order.\nAnswer: 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 5*x**2 - 7*x + 7. Suppose -j + 3*j + 2*m = -8, -5*j + 3*m = 20. Let f(t) = t**3 - 2*t**2 - 4*t + 4. Let n(q) = j*d(q) + 7*f(q). Factor n(r).\nAnswer: 3*r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -455*w**3 - w**2 + 2*w + 5. Let k be f(-4). Suppose 29095 = 3*t + 5*v, t - v = -2*t + k. What is t rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5. What is the least common multiple of 9 and -2 - 1*(-4 - o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m**2 - m + 108. Let b be n(0). Let y(i) = i + 2. Let c be y(10). Calculate the greatest common factor of b and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3334908650 to the nearest 1000000.\nAnswer: 3335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8206\/1531 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*l**4*w - 13*l**3*w - 1903*w with respect to l.\nAnswer: 332*l**3*w - 39*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 42 = 47*m - 222 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -486\/5 - 6*i**4 + 2\/5*i**5 - 108*i**2 + 36*i**3 + 162*i.\nAnswer: 2*(i - 3)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 369\/(-8) - 9\/(-72). Let b = c - -54. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 8 = -3*k, -5*y + 20 = 24*k - 23*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -406\/71 >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*c = -42. Let n be (c\/(28\/24))\/((-20)\/6). Solve 3\/5*f + n*f**4 - 3\/5*f**3 + 0 - 9\/5*f**2 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 + -72800385634?\nAnswer: -72800385634.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 12, -7, -40, -93?\n\"Answer: -k**3 + 2*k**2 - 10*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from nwnnwnnwwnyye?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 3\/4*t**2 + 1\/18*t**3 + 7\/3*t - 45. Find r such that o(r) = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1038\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3287 is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6282 - 6282.4739. Let q = -0.0261 + g. What is the third biggest value in 249, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5505 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -h + 15688 - 1766, 3*v + 55573 = 4*h. Let n = h + 18523. What is n rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 2. Let y(a) = 3*a**2 + 6. Let n be 3\/(2\/2 + 330\/(-348)). Suppose -14*j = 54 + n. Determine j*s(p) - 3*y(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Let u = -0.6 + 0.1. Which is the nearest to 1? (a) p (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 48. 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: Collect the terms in -255 - 2*h + 129 + 112.\nAnswer: -2*h - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-7 - -14) - (-3 + -1 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-19)*q)\/q*q**(-2\/55))\/(q*q*q**(-3\/14)*q*q*(((q**19*q)\/q)\/q*q*q)\/q) assuming q is positive.\nAnswer: q**(-31433\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -50232?\nAnswer: -954408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*s - 139*s - 22*s**2.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, 2, 0.6, -5, -0.032, 0, 38?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 242 - 239. Suppose 6*x**3 + x**4 - 8 + 27*x**3 - 2*x**2 - 30*x**p - 12*x = 0. Calculate x.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = w - 3*w - 365, -2*w + 5*n - 345 = 0. Suppose 14 - 20 = 3*x. Let h be (4 + w\/50)\/(x\/(-5)). Which is the smallest value? (a) 1 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*k - 326*k - 13*k)*(-12 + 6*k**4 + 12).\nAnswer: -2292*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.12 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*m + 5*h, 0 = -0*m + 5*m - 3*h - 87. Suppose -5*x = -x - m*x. Solve x = -4*c + 8, y - 4*c + 3 = -3*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 310?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 - -44. Suppose 6*t = 2*s - 628, -4*t = -s + 162 + h. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Solve -4*d + 0 = -a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 440.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/8)\/5*0. Solve -4*o + 2*k + 26 = c, o - 3*k + 10 = -8*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 404240457, 404240456, 404240455, 404240454, 404240453, 404240452?\n\"Answer: -q + 404240458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 19. Let s be o(-11). Solve -s*b + b = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, 1 f, and 1 z when four letters picked without replacement from afanszncs?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 15*m - 1. Let w(i) = 5*i**2 - 15*i - 1. Let v(r) = -6*t(r) + 5*w(r). Let n be v(-12). List the prime factors of (-84)\/n - (-2)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -629\/15 - -209\/5. Let t = 228 - 228.95. Let d = 0.75 - t. Which is the second biggest value? (a) m (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 174251, 696874, 1567911, 2787362?\n\"Answer: 174207*u**2 + 2*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 + 286*g**4 + 263*g**3 - 5*g**2 - 21623*g + 1?\nAnswer: -60*g**2 + 6864*g + 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, r: 6}. What is prob of picking 2 r?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = s - 3 - 9, 2*s = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1338, -2872, -4406, -5940, -7474, -9008?\n\"Answer: -1534*q + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83777047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 165*l + 169*l - 4, -4*l = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.7 - 15. Let t = d - -1.3. What is the closest to 0 in -1\/6, 2\/7, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134806\/48145*5\/(-1771)?\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2316588 and 2130.\nAnswer: 11582940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by 1.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-12)\/(-6)) + (-22)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -17, 1\/3, 3 in ascending order.\nAnswer: -17, -0.4, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyuk when four letters picked without replacement from kyuyuyukuy.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8 - 3*l + 2*l**2 - 2*l + 0*l**2 - 3*l**2. Let b be s(-6). Solve g + j = 2*g + b, 10 = -3*g + 4*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1231*x = -1024*x + 3726 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 + 149. What are the prime factors of (872\/b)\/(((-20)\/(-25))\/(-4))?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*m + 142*m - 1256. What is the remainder when m is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 58*n**3\/11 + 51484*n**2\/11 + 11312344*n\/11 - 50126832\/11 = 0. Calculate n.\nAnswer: -446, 126\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273509 and 6713?\nAnswer: 1836065917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + o)*(-20*o**2 - 3374*o + 3375*o + o**3 - 4*o**2).\nAnswer: 2*o**4 - 48*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q + q - 2*q + 3*q - q - q + 3*q - 1 + 3*q + 1 + (-5 + 3 + 3)*(-3 + 3 + 2*q) - q + 3*q - q)*(-2 + 1 - 1)*(44 - 38 - 50).\nAnswer: 968*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2110)\/(-18) - 20\/90 - 1. Suppose -113*c = -u*c + 15. What is the second derivative of 28*x - 10*x**2 - 25*x**5 + 3*x**c + 10*x**2 wrt x?\nAnswer: -440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + -1. Let m = g + 16. Let a(q) = -4*q - 19. What is the lowest common multiple of a(m) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-30) - 54\/10. Let a = 7 + f. Suppose a*g - 1 = 7. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - -10?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, 1, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/9 + -2 + 20\/6. Suppose f - 8 = -y, -5*f - 3 = -x*y + 2. Suppose -l = -y*h - 231 + 615, 8 = -2*l. Does 47 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21021212 (base 3) to base 11.\nAnswer: -3aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3862600 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(187)*-3 + sqrt(187)) + sqrt(187)*2*3)\/(sqrt(308)\/(sqrt(1008) - (-2*sqrt(1008) - sqrt(1008)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 9*p - 952 = 28*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r + 3*l, -4*r = r + 3*l + 23. Let t(k) = -k - 4. Calculate the least common multiple of t(r) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = -0*i. Suppose -a = -2*g - 3*g + 12, -5*a + i*g = -3. Suppose 1\/4*j**a - 1\/4*j**4 + 0 + 0*j**2 + 0*j = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.149102 and 1996.\nAnswer: 1995.850898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76392 divided by 2.\nAnswer: 38196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32c39685 + 3?\nAnswer: 32c39688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 180. Let i(s) = -s**3 + 13*s**2 - 19*s - 17. Let p be i(u). Solve 4*b - p = d - 3*d, 4*d - 4*b = -28 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 3*i + 5*b, 3*i - 3*b = -12. Let s be (1\/i + 1)*8. Let z = s - 3. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -244 bigger than -247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7643 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235808 is divided by 308951.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 488 * 0.19\nAnswer: 92.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 498 + 514 = 989. Let x be (-3 - -2)*3\/1. Let c be (-3)\/(0 - x\/2). Which is greater: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35 and 45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -3 (b) -2\/5 (c) -26 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1385665, -1385640, -1385615, -1385590?\nAnswer: -1385565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 = i - 14, 5*i - 25 = 5*h. What is the remainder when 21 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34079 + -242.\nAnswer: 33837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 73. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.7537.\nAnswer: -3.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 26*k + 122. Let q(j) = 13*j + 64. Determine -4*p(i) + 7*q(i).\nAnswer: -13*i - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 12*a = 15. Suppose 4*v + 1297 = -5*u, a*u - 2*u - 9 = 0. What is the common denominator of 21\/8 and (-1)\/(v\/84 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 54*f**3 - 1350*f**2 - 8*f + 131. What is c(25)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 15. Let g be d(0). Let j be ((-3)\/(-6) + -1)*-4*5. What is the third derivative of -12*n**3 - j*n**3 - 2*n**2 + 10*n**3 - g*n**2 wrt n?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 3814024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1479, 4795, 9947, 16935, 25759, 36419, 48915?\nAnswer: 63247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*c + 10. List the prime factors of 1*2 + (-80)\/c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -224 + -8dd77?\nAnswer: -8e09b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179091.\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4227658031.\nAnswer: 293, 14428867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*x + 11 + 26, 3*k + 3*x + 63 = 0. Let o be (-2 - -7)*k\/(-25). Suppose 0 = 3*f - f - 2*t + o, 1 = -5*f + 2*t. Which is greater: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**2\/2 + 5*t + 328. Let p(g) = 6*g - 26. Suppose r + 28 = -2*r + 4*q, 0 = -5*q - 25. Give r*k(o) - 3*p(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1 + 4 - 13*i + 18*i - 7*i**2. Suppose -52 = 4*j + 4*p, -j + 2*j - 5*p = 5. Let h(m) = -3*m**2 + 2*m + 2. Calculate j*h(k) + 4*w(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1215 by -66.\nAnswer: 405\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebzk when four letters picked without replacement from {v: 1, b: 1, z: 1, k: 2, e: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-3)*-2 - -1. Let i be (-2)\/6 + 1\/3. Let l be i - 4 - 0\/2. Sort l, 4, h in ascending order.\nAnswer: l, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1132 and 446219684?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x = 230 + 141 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21da (base 14) to base 12\nAnswer: -3498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 7*w = -96, 4*x + 165603 = -4*w + 165667 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(68\/(-12) + 6). Let i(o) be the second derivative of -5*o - 5\/6*o**f + 5\/2*o**2 + 0. Differentiate i(r) wrt r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/3)\/(369\/(-27) + 13) - -6. What is the closest to 24.52 in k, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 12\/5)*-30. Solve -5*k + x = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(30)\/(sqrt(6)*-5))**2 + 5 + 1 + sqrt(80).\nAnswer: 34\/5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - h - 2. Let t be m(-2). Suppose f - t = -5*g + 6, 210 = 5*f + g. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 451 - 449. Suppose -4*d + 80 = q*v, 5*v + 16 = -d + 36. What is the greatest common divisor of d and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 140*s**2 + 145*s + 42. What is d(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13877839*i**3 - 14543321 wrt i?\nAnswer: 41633517*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2875 = 2*t, 0 = -4*t + 10*j - 6*j + 5764. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525309158 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.051 - 0.249. Let d = -41 + 38. Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -316554403 and -12?\nAnswer: 316554391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1788 - 1788 - 7*r**5 - r**3)*(3 - 1 + 0).\nAnswer: -14*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 120*z**2 + 1. Let b be w(1). Let f be 7\/(-35) + b\/5. Suppose 0 = q - 3*l - f, 0 = -q - l + 2 + 6. Calculate the lowest common multiple of 18 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 141, 151, 165, 183?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6) - 17\/(-102)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 - -269. Let g(u) = -u**2 + 7*u + 17. Let i be g(9). What is the remainder when t is divided by 3\/1*i + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 5. Let t(q) = -4*q + 5. Let m(u) = -4*t(u) - 5*y(u). Let k be m(0). Solve 0*j = k*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - -123. Let y = g + -153. Solve -y = -i + r, 7*i + r - 1 = 6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozyyizyyizrzyiyorz. What is prob of picking 1 z and 2 o?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2956745880729 and 0.2?\nAnswer: 2956745880729.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.2 + 17.1. Sort u, -2\/75, 4 in increasing order.\nAnswer: u, -2\/75, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Calculate the lowest common multiple of t(-6) and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -19 - (1 + 2)) + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11666610 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3966755 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 35*r - 42. List the prime factors of x(30).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 1, m: 5, c: 3, n: 4}. Give prob of picking 1 n and 1 m.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87775 is divided by 259.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 7*m**6\/240 + 41*m**5\/120 + 5*m**4\/4 + 8*m**2. Let r(h) be the second derivative of q(h). Differentiate r(x) wrt x.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241423111131 - -3?\nAnswer: 241423111134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = -3*x - 18, 37 = 2*x + 5*l + 46 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191 - -213. What is the remainder when 63 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 8*v**4 - 5*v**4 - 4*v**2 + (0 + 4 - 6)*(-v**2 + 2*v**4 + v**2) to the form o + r*v**4 + a*v**2 + y*v + w*v**3 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 1. Let f(g) = -2*g**2 + 46*g + 32. What is f(j(w))?\nAnswer: -8*w**2 - 100*w - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + p - 8 = 0, -5*p + 0*p = 20. Find the second derivative of -7 - 18*w - 11*w**c - 17*w + 2*w**3 - 19*w + 57*w wrt w.\nAnswer: -132*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and 240.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeb when four letters picked without replacement from {e: 18, b: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619899367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 327 = 267. Let m(w) = -w**2 + 7*w + 8. Let l be m(7). What is the common denominator of ((-69)\/(-12))\/(2\/l) and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:18 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84385*b**4 - 102*b**3 + 13193050*b**2 wrt b.\nAnswer: -2025240*b - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 25, -15*r = -3*c - 14*r + 346. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**2 + 1415*f - 118.\nAnswer: (f + 118)*(12*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -731349 + 731769.0005. Let q = 420 - v. Round q to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 53485*w - 53482*w - 31, 27*w = -u + 131 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -11*g + 56. Suppose -16*x = z - g*x - 191, -4*z = 4*x - 756. List the prime factors of z.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.01 in -5, -2\/11, 2\/11, -8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 789 + 177. What is the remainder when s is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5144, -2902, -666, 1564, 3788, 6006, 8218?\nAnswer: 10424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101000000 - -10011111?\nAnswer: -111010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -5, 51, -26 in descending order.\nAnswer: 51, 27, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 54*x = 53*x - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2 + 14*o - 8. Let h(p) = p**2 - 3*p + 2. Let y(c) = -11*h(c) - 2*j(c). Let i(t) = -t - 1. Let l be i(-6). What is y(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 15 + 18, 0 = 5*r + 9*m - 9. Which is smaller: r or -4\/73?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 105\/10 + (-1)\/2. Suppose g - 6 = -g. Solve v = 3*p + 15, p + g*v = 5*v - q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g - 26. Let p(k) = -20*k + 49. Let j(r) = 6*p(r) + 11*s(r). Suppose -24 = 3*q - 3*y, -3*q - 10 - 4 = 2*y. Give j(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103169\/238 + -867\/2. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 14554.833.\nAnswer: -58219.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let w(t) be the second derivative of 41*t**4\/12 + t**2\/2 - 423*t. What is q(w(s))?\nAnswer: 41*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 248 (c) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4244344?\nAnswer: 2, 13, 37, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 338*h + 1693. Let j be r(-5). Which is the fifth smallest value? (a) 1\/4 (b) -4\/7 (c) 4 (d) j (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4605775, 9211552, 13817329, 18423106, 23028883, 27634660?\n\"Answer: 4605777*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1, 0, -56, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u + 2*c - 109, 0 = 4*u + 4*c - 92. Is 16 + u + 3\/(6\/(-4)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 613153 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 32*x**3\/3 + 10*x**2 + 32*x\/3 - 31\/3.\nAnswer: (x - 31)*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -58234 divided by -5294\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 4*t + 2*t - 3*t + t + 3*t + (-29 - 27 + 23)*(-9*t + 10*t + 9*t) as u*t + h and give u.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -30*q**3 - 2*q**2 - q. Calculate i(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d - 5. Let u(j) = -j - 1. Let s(i) = 9*i + 3. Let q(n) = -s(n) - 6*u(n). Give 6*b(l) + 10*q(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -634 + 1196. Suppose 2162 = 10*v + m. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2380\/18 + 4\/(-18). Calculate the highest common divisor of d and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 513276333 by 4.\nAnswer: 513276333\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122 - -125. Factor -2 - 21\/2*i**2 + 9\/2*i**l + 8*i.\nAnswer: (i - 1)*(3*i - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(-2*s - s + 4*s) + 3*s + 2*s - 3*s)*((-2*s + s + 2*s)*(s + 2*s - 2*s) + 94*s**2 - 495*s**2 + 22*s**2).\nAnswer: -1134*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1546 - 12906 = -3*o + j, -j = 4*o - 15156. Suppose 15*p - o = 11*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and -13988.\nAnswer: 517556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1630269007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409798 a multiple of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 27*u - 12630757 = -29*u, -4*p + 10104584 = 4*u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15691*g - 81*g**5 + 15691*g + (-g + 0*g - g)*(0*g**4 + 2*g**4 + 0*g**4) + 2 - 2 - 2*g**5.\nAnswer: -87*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -48. Suppose t - 43 = -3*c. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -11. Suppose -5*t + j = 9 + 1, 4*t + n = 4*j. Let x = 0 - 0.1. Which is the nearest to x? (a) 4 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7 + (-6 - (-6 + 6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(8\/3)*x)\/x)*x)\/(x**(-1\/10)\/x) assuming x is positive.\nAnswer: x**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2146 * 0.1\nAnswer: 0.02146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*i - 471*i = 411*i + 50436 for i.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (5 + 14 + -12 - (-1 - -34)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 291968, -4, -3 in decreasing order.\nAnswer: 291968, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvvbek. Give prob of sequence ebk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 17*d = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -4)*3\/2. Let h(a) = a**2 - a - 3. Let n be h(c). Suppose -4*x + 1 = 3*p - 7, -11 = -n*p - x. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -64 - 280\/(-14) - (0 - 4). Do n and -0.9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 645*s - 641*s - b, 5*b = -2*s + 39. Solve 4*v = -5*k + 10, 30*k - 35*k - 20 = -s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1890)\/(-459) + (-2)\/17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209955 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 25. Suppose n + 0*b = -4*b + 4, -20 = -m*n + b. Suppose 60 = n*y + y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 divided by 1.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 40*y**2 + 48*y - 96. Let n(f) = -f**3 - 40*f**2 + 50*f - 97. Let b(g) = 2*n(g) - 3*x(g). What is the units digit of b(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**3*d**2*y - 36*b**3*d + 13786*b**3*y - 11*b**2*d**2 + 18*d**2 wrt y?\nAnswer: b**3*d**2 + 13786*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 70*u - 701. Give m(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 0*l**2 + 3*l**2 - l**2 + 2. Let b be t(2). Suppose -b*s = 5*u + 4, 4*u = s + 9 - 29. Calculate the smallest common multiple of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25421972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1073407 millimeters to nanometers.\nAnswer: 107340.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.07 from 0.4.\nAnswer: -16.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3457971122 rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3649a (base 13) in base 8?\nAnswer: -302524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*t**2 - 497*a**3 + 200*a**2*t**2 + 2*a*t**2 wrt t.\nAnswer: -2*a**3*t + 400*a**2*t + 4*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 23*w**2 - 95*w + 443. Let u be l(26). Sort 0.1, 0.2, u, 20, 5 in increasing order.\nAnswer: 0.1, 0.2, u, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 318, 798, 1278, 1758?\n\"Answer: 480*u - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c. Let z(r) = 12*r**2 + 5. Let a(b) = -22*b**2 - 11. Let m(u) = 5*a(u) + 11*z(u). Give m(s(p)).\nAnswer: 88*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93 and 318.\nAnswer: 9858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*y + 10*y + 5368. Suppose -6*x + 6052 + y = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*o = -167280, -110926 = -5*y + 4*o + 56358. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 53. Calculate the highest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945122042?\nAnswer: 2, 20771, 22751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 4*p + 5. Let l be v(5). Let f = l - 5. Let h be 28\/(-7)*(2\/28)\/(-1). What is the nearest to h in 0.1, 0, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123822315 times 1\nAnswer: 123822315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 24*p - 120 = 0. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2322 - 28.525\nAnswer: 2293.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30211 (base 4) in base 9?\nAnswer: -1084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/4 >= 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k + 101 - 101.\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*12\/26*39\/((-1404)\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 388024.3 nanometers?\nAnswer: 0.0003880243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 125*j + 130*j + 12 = 0, 0 = -3*s - 9*j - 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (31 - 2 - 14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2*w + n**2 - 84*n*w**2 + 3*w**2 - 516 wrt w.\nAnswer: 3*n**2 - 168*n*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (34\/(-3))\/((-2)\/3). Let x(z) = 17*z - f*z - 3*z**2. Let g(v) = 2*v. Give x(g(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1 + (-3)\/(-4)). Let l be (8\/(-18))\/(u\/6). What is the smallest value in 2, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -1\/210*l**5 + 0*l**3 - 37*l + 0*l**2 - 2\/315*l**6 + 0 + 1\/126*l**4. Solve v(w) = 0 for w.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(50) - (3 + sqrt(6)\/sqrt(3))) + 2)*-2)**2.\nAnswer: 96*sqrt(2) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w - 40. Let a be u(-7). Solve -4*g**5 + 14*g + 5*g**4 + 34*g - 125*g**3 + 3*g**5 + 129*g**3 - a*g**2 = 0.\nAnswer: -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59 + 8776?\nAnswer: 8717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 287285 (base 10) to base 9\nAnswer: 477065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y**2 + 0 - 3. Let v(m) = m**2 - 5*m**2 + 3*m**2 + 25 + 4*m**2 - 30. Give -3*v(g) + 5*z(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.71 - 3.71000153. Round a to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) 0.1 (b) 0 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 8. Let r be a(6). Suppose -r*b = b - 25. Suppose 4*i - 3*j = 475, b*j - 499 = -6*i + 2*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmqddqqmq. What is prob of picking 1 q, 2 m, and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(1452) - sqrt(1452)*2) - (sqrt(30)\/(sqrt(160) + sqrt(10)) - sqrt(432)*-2))*3.\nAnswer: -4008*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -1 + 7 + (-43 - -31)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 + 65*p**3 - 31*p**3 - 34*p**3 + 3*p**4 wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*b = 12, -7*m = -3*m - 5*b. Solve m*c + 4 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/7, 0, -2.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/80 + 0)\/(-2*2\/28)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 40 = -2*h, 720*h - 722*h = 2*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjlsjsjjp. What is prob of picking 3 j?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -44, -48, -36, -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0410068791 and 5.\nAnswer: 5.0410068791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6855851 - 2*t**3 + 6855851.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 + 0 = 3*r, -x + 2*r = -3. Suppose 3*y - 48 = -x*n - 0*y, 3*y = 12. Solve 3*j - 7*j = -n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 34. Let w(l) = l - 2. Let c be w(i). Let z = -6\/5 + 27\/10. What is the biggest value in 4, z, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10235 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 691730 by -3130.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4*5\/5)\/(-5*2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -1 - (-106 - -99).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 12*s - 17*s - 9, 3*i + 3 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - 2*g - 5. Let q(o) = 4*o**2 - 3*o - 6. What is 3*h(p) - 2*q(p)?\nAnswer: 4*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 3*c + 1. Let s be t(2). Suppose 9 = n - 2*z, -2*z - 35 = -5*n + s*z. Suppose -n*y + 10 = -0*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4342 times -12\nAnswer: 52104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 502665062 divided by 29?\nAnswer: 17333278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 783.2518 millennia?\nAnswer: 7832.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 900971343 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 23*x**2 - 10*x - 701. Give i(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*g - 2 + 0 = 0, -4*g + 4 = q. Suppose -9 = 5*n - q*n - t, n - 7 = -2*t. Let u = 6 - n. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 896817.7 millennia?\nAnswer: 10761812400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 30 + 138. Suppose -2*s - s = -z. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 - 9 + 2)*(-2 + i + 2) - 6 - i + 6)*(-i - 5*i - 11*i).\nAnswer: 238*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3714*26\/(-7436) + (126\/(-7) - -5).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffgfuuffgfgfgfff. Give prob of picking 2 f.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 7*g + 2. Let x be n(-6). Let l = 1.05 - 2. Let f = -0.05 + l. Which is the nearest to f? (a) 0.5 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*c = -229*c + 5*i + 85156, i = -c + 28396. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36365143 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/13 - 1812*r**2\/13 + 547224*r\/13 - 55087216\/13 = 0.\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.2 - 33. Which is the third smallest value? (a) v (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, -0.09, -3, -5, 1\/3, 4 in increasing order.\nAnswer: -5, -3, -0.09, 0.31, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -35.5. Let o = 0.292 + w. Round o to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 162240*t + 324492.\nAnswer: -3*(t - 2)*(t + 54082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124 - 119 - ((4 - -1) + -20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-17)\/y)\/y)**32\/(y**(-10\/9)\/y)**(31\/4) assuming y is positive.\nAnswer: y**(-21299\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 22*u**2 - 8 + 6*u + 4 - 2. Let k be t(3). Suppose 4*a - 2*h - h = k, -4*a + 214 = -h. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579743265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 18*s**2 + s + 20. Let m be d(-18). Suppose -3*y + 6 = -5*y - m*a, -5*y - 8 = -2*a. Let t(c) = -7*c - 2. What is t(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four sevenths of a week in minutes?\nAnswer: 48960","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.056 - -0.256. Suppose -3*q - 1 = -4. Which is the nearest to 1\/3? (a) q (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16257003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14277*-3.\nAnswer: 42831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3774 by 118964.\nAnswer: 1887\/59482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1523373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6660 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 1794.\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 67*x - 135. Give w(65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppbteprbtpqppbtpp. Give prob of sequence bpb.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.524 + 0.5. Round r to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 703 + -363. What are the prime factors of x?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 13. Let b be (7 - 375\/20) + (-2)\/8. Let u be (-8)\/(-6) - (-6 + (-172)\/b). Let q(v) = -v - 9. Give u*q(p) - 5*s(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 6:17 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2908015 is divided by 187?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 39145028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 3*s - 30. Let v be a(-8). Let t be (55\/(-10) + 6)*v. Solve b + t = 4*j, -3*b = -2*j - 1 - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*l**5*s + 14383*l**3*s - l**2*s + 13*l*s + l + 26*s + 18 wrt l.\nAnswer: 120*l**3*s + 86298*l*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3 - 3)*(0*y - 3*y + 4*y) - 16*y**2 - 139*y + 139*y + 67*y - 67*y - 20*y**2 - 2 + 2 - y**2.\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from pphhhhhh?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -c - 31, 3*c + 4*p + 253 - 296 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 + 26*u**3 - 4*u - 10*u**2 + 32*u**2 - 11*u**2.\nAnswer: 26*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44380982 and 8.\nAnswer: 177523928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.3, -26, -0.3, 1, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 559 = -3*h + 567, -4*h + 16 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 11 = i, -411*i = -414*i - 2*t + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 + -106. Find j such that 0 + 2*j**2 - 2\/3*j - 2*j**y + 2\/3*j**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = -25*o + 16893360000. Suppose o = 26*f - 8*f. Round f to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.91.\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5504680 divided by -1376170?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and 8050?\nAnswer: 96600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, 0.09, 15\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/5 of a second?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.27443 to one dp.\nAnswer: 59.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*f + 15*f - 33 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (741\/52 + -12)\/(2*(-5)\/(-16)). Let -102\/5*b - 12 - d*b**2 = 0. What is b?\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52957, 211431, 475555, 845329, 1320753, 1901827?\n\"Answer: 52825*y**2 - y + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 1, n: 1, w: 5, j: 1, s: 3}. Give prob of picking 3 w.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let t(x) = -1068*x - 148 + 2137*x - 1069*x + x**2. Give j(t(q)).\nAnswer: -q**4 + 296*q**2 - 21904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4305 is divided by 4296.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.2, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 1046, 2307, 4084, 6383, 9210, 12571, 16472?\nAnswer: 20919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4102 and 1873410.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r. Let w(f) = -10*f**2 - f - 17. Let h(z) = 15*z**2 + 3*z + 27. Let u(x) = -5*h(x) - 8*w(x). Determine 5*l(n) - u(n).\nAnswer: -5*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Let d = 0.7 + -0.4. Let p = -0.5 + d. What is the second smallest value in -4, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -38 and -234 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(76) - (sqrt(76) + (sqrt(76) - sqrt(76)*1)*4 + sqrt(76)))\/(sqrt(16)\/(sqrt(16)*-1)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108525808 and 1165?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3027 = 4*g - 3017, -2*g = 4*a + 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 155.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/8375730 and 76\/16065.\nAnswer: 527670990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 7*f + 11. Let k(b) = b**2 + b + 2. Let i(t) = -d(t) + 3*k(t). Let l(s) = -s**3 + s**2 - s - 1. Calculate -i(w) + 4*l(w).\nAnswer: -3*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*o - 0*o. Let n = o + -12. Does 14 divide n\/10 - (-77)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/9 + -7 + 2. Solve 3*l + 0 - 6 = u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9859146 and -0.01.\nAnswer: 98591.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-81))\/(1\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45553, -45754, -45949, -46138, -46321?\n\"Answer: 3*b**2 - 210*b - 45346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*t = 8, t - 29 - 74 = -5*v. What is the remainder when 7*(6 - -2) + 1 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 - 119. Suppose a*p - 5 = -13. Sort p, -5, -12, 4.\nAnswer: -12, -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a centimeter in millimeters?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(i**2 - 3*i**2 + 4*i**2) + i**2 + 5*i**2 - 2*i**2)*(0 + 0 + 4).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02336726 rounded to 4 decimal places?\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1330*f**2*i**2*o**3 - f**2*i*o**3 - 1427*f**2*i*o + 10*f*i**2*o - 499*f*i*o**3 + 3*i**2*o wrt i?\nAnswer: 2660*f**2*o**3 + 20*f*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9286.158 nanometers?\nAnswer: 0.009286158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2 - 2*t - 3. Let s(f) = f**2 + 1. Suppose -7 + 2 = 5*p. Let o = -13 - -9. Calculate o*s(v) + p*b(v).\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - q. Let p(i) = i + 2*i**2 + 0*i + 0*i. Let a = -20 + 16. Give a*x(g) - 5*p(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, d: 3, o: 13}. What is prob of sequence ocdo?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162) - sqrt(162))*-3 + sqrt(162) - (sqrt(162) - ((sqrt(162) + 0)*-3 - sqrt(162))) - ((-3 + sqrt(162))*3 - -4*sqrt(162)*4))**2.\nAnswer: -2268*sqrt(2) + 31833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 861*n**2 + 13 + 39 - 58.\nAnswer: 861*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 690\/2231519?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/2)\/(1\/(-2)). Let q(p) = -p. Let s be q(7). Let b(y) = y**3 + 8*y**2 + 5*y - 10. Let a be b(s). Solve -v*w - 2 = -2*k - 3*w, 0 = 2*w + a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -45 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5485 divided by 1097.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*i - 51 = 0, -3*i = 3*c + i - 51. Let w = c + -12. Suppose -w = 2*s - 15. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-2 + -5 + sqrt(833))*3*2*6.\nAnswer: -252*sqrt(17) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54251 (base 7) in base 13?\nAnswer: -61c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 2802*a - 2838456.\nAnswer: 3*(a - 1546)*(a + 612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiiu when four letters picked without replacement from iiuvvuviuuv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -206\/3*f**2 - 31\/3*f**4 - 35\/3 - 134\/3*f**3 + 1\/3*f**5 - 139\/3*f.\nAnswer: (f - 35)*(f + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123.03 + -24.87. Let w = 148 + r. Which is the third smallest value? (a) -62 (b) w (c) -3\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-575)\/(-75) - (-8)\/(-3) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*t, 4*t - 2 = 2*a + 5*t. Let x be a*2\/((-36)\/(-15)). Is x bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 - 6*u + 2. Let b be d(5). Let j = -18 - b. Calculate the least common multiple of j and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {r: 2, z: 3, g: 4, h: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x - 76. Let l be b(-6). Suppose -150 = 7*d - 2*d. Let o = l - d. What is the remainder when 41 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 118*l - 608. Calculate j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 22. Let l = d + -16. Suppose -7 = -l*s + 37. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, -1, -1747?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(143) - (sqrt(143) - sqrt(143)*-2))*6*1)\/(sqrt(132)\/(2*sqrt(108))).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/108 and 68\/3531?\nAnswer: 127116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 13*d**2 + 34*d + 11. What is u(-6)?\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1723242340 to the nearest 1000000.\nAnswer: 1723000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {k: 10, v: 4, h: 1, w: 2, m: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 - (-19 + -21 - -29)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.7 or 455378?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-162)*-1*(-1)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13840280 divided by 4.\nAnswer: -3460070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8551 = 10*o - 419. Suppose 2*j - o = -j. Is j at least as big as 299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(91)\/(sqrt(14)\/sqrt(2)) + sqrt(143)\/sqrt(396).\nAnswer: -9 + 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29104 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/5 (b) 0.4 (c) -9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 3922688?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*y**3 - 159*y**3 - 236*y**3 - 21*y**3.\nAnswer: -451*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g. Let k(m) = -2612*m**2. What is k(y(n))?\nAnswer: -65300*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 32*c**2. Let v(b) be the first derivative of b**2 + 11. Calculate a(v(g)).\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let v be (-2)\/(-4)*(-20)\/(-35). Let a = 5\/42 - v. What is the third biggest value in i, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(12 - 12 - 28*r).\nAnswer: -56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 - -228. Let k(y) = y**2 - 7*y + 3. Calculate k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-90215)\/(-15) + 212\/(-159)?\nAnswer: 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*k + 2*k. Let n(b) = -b**2 + 3*b + 2. Let v be n(3). Suppose -2 = -4*x + v*x. Sort 3, x, k in ascending order.\nAnswer: x, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588269709?\nAnswer: 3, 2420863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2933362 is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -511 at least as big as -510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-23 - -7)) + 0 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-5 + 5)) + (12 - 19).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1067 + -433. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/2 + 608533788*s + 61718895189604824 = 0. Calculate s.\nAnswer: -202844596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6275 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -4 (c) -7\/5 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 877472 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*f - 28*f = -5*f - 113*f - 11450 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 115 - 6*h + 26 + 30 + 2*h**3.\nAnswer: 2*h**3 - 6*h + 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*q = 10 - 1, -5*c = 4*q - 33. Solve c*v = 7 + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 7*y + 4. Let d be v(-5). Let i be (4\/d)\/((-5)\/(225\/6)). Suppose 5*t = 10*t - 15. Solve 3*n + 3*b - 3 = 0, t*b - b - 9 = i*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1\/3, 1\/3, -3\/2, -0.0706 in descending order.\nAnswer: 4, 2, 1\/3, -0.0706, -1\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 926, -0.2, 2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7759, 10466, 13173?\n\"Answer: 2707*s + 5052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 + 610. Which is the nearest to 0.1? (a) 10\/3 (b) 12 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 4*j + 11. Let s be p(-4). Let c = s - -52. Let q = c - 49. Calculate the remainder when 36 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**6\/45 + l**5\/15 - 11*l**4\/18 - 4*l**3\/3 + 12*l**2 + 40*l. Suppose x(d) = 0. What is d?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111 = -45*w + 146*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 10:44 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46432*q**3 + 37*q - 107.\nAnswer: -278592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.02, 66, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*w - 6, -2*i - 2*w = -7*w - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -472817, -31, -1?\nAnswer: -472817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1891980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1271 divided by -1.\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 386*t. Let q(n) = 6*n**2 + 6*n - 6. Let f(c) = 49*c**2 + 51*c - 51. Let k(b) = -2*f(b) + 17*q(b). What is p(k(w))?\nAnswer: 1544*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 a factor of 192802722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5562 = -379*x + 2530 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 246521, 246665, 246817, 246983, 247169?\n\"Answer: g**3 - 2*g**2 + 143*g + 246379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 - 10*z + 18. Let n be c(8). Differentiate 20 + n*f**3 + 31 - 69 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -4. Let f be (-10)\/15 - t\/(-3). Let p = -4 + 3.9. Which is the nearest to f? (a) p (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*4305\nAnswer: -4305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 5*g - g + 3*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395\/18 or 23?\nAnswer: 395\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 13 = 5*s, -4*s + s + 5*t - 21 = 0. Let r be (-2 + -1 - s)*-1. Is r - (2*-7 - -2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -15407, 65, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1292 + -763. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698.9294l to millilitres.\nAnswer: 698929.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*4*(sqrt(112) - (sqrt(112) + sqrt(112)*-1)))**2 - (-1*(sqrt(112) + 1) + -4)).\nAnswer: 4*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Suppose 0 = 2*u + 4 - 14. Let b(m) = m**3 - 5*m**2 + m - 1. Let o be b(u). Solve -3*n = -o - 2, c + 4 = z*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38428 and 366.\nAnswer: 7032324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 298.4183ml?\nAnswer: 0.2984183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11348 + 6391.5.\nAnswer: 17739.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 17. Give g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3\/((z\/(z*z*z\/(z*z**(-6))))\/z)*(z**(-1))**(-25\/6) assuming z is positive.\nAnswer: z**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.08 and 0.44.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2731, 1, 130, 0, 10, -4 in decreasing order.\nAnswer: 2731, 130, 10, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24922 = 1067*c - 17428 - 18273 + 10474 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 6, 4, -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16603.8375 rounded to the nearest 100?\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 15, -1, 4.\nAnswer: -3, -1, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3159296877.\nAnswer: 3, 11, 19, 673, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 149, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from tejvy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (5 + 36 - 25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3220401112 - -4?\nAnswer: 3220401121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**5\/20 + 7*i**4\/12 - i**3\/3 - i**2\/2 + 3595*i. Determine p(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -14. Let o = 5.2 - m. Let w = o - 0.068. Round w to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z - 43. Determine c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 5?\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -22, -15 in ascending order.\nAnswer: -22, -15, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 - -218. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 17, s: 1}. Give prob of picking 4 m.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000879459817 to 6 dps.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63297\/4 - 15824. What is the nearest to 0.2 in -8\/21, -4, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -53, 3, 1.\nAnswer: -53, -4, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i**3 - 58*i**3 - 256*i**3 - 63*i**3 + 2*i**2 - 2*i**2 - i**3 + (2 + 0 - 4)*(-2*i**3 + 1 - 1) + 2*i**3 - i**2 + i**2 + 2*i**3 + 3*i**3 - 4*i**3.\nAnswer: -362*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17836*o - 9742*o - 1110*o - 249 + 249.\nAnswer: -28688*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 76 = 41*n, -33189*w + 33192*w - 22 = -2*n for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533595 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*k + 3151 + 13681 = -57*k + 932 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 10. Let q(k) = -34*k + 27. What are the prime factors of q(v)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 3*q**2 + 2*q - 2. Let c = 3 - 0. Let i be t(c). Let d(b) = 5*b**2 - 3. Is d(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 8. Let q = 17 + -15. Let s be (q*-2)\/(14\/21). Let j be x(s). Solve j*t - 4*l = 10, 2*t = -4*l + 2*l - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*((-56)\/(-12))\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 221683791, 221683790, 221683789, 221683788, 221683787?\n\"Answer: -u + 221683792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*w - 31, 2*v - 6 + 4 = 0. Let a(f) = f**2 + 7*f. Let k be a(-7). Suppose -6*t + 44 + 124 = k. What is the remainder when t is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 4) to base 10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 163, 9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1101?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 155887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1049514*q**4 - 7*q**3 - 6*q**2 - 38*q - 189812?\nAnswer: 12594168*q**2 - 42*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 62*x + 65*x = 6, 0 = -f + 5*x - 10. Which is bigger: f or 1\/4988?\nAnswer: 1\/4988","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*l + 60806 = -303791 - 14069. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89bc1 - 5?\nAnswer: -89bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 155929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 4.6. Let h = a - 0.4. Let f = 4 + h. Which is greater: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5852 + 5851.90249. Let y = -0.0911 - z. What is y rounded to 4 dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 8577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 11. Let g(n) = 3*n + 10. Determine -7*g(v) - 6*u(v).\nAnswer: -3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 644*f + 15. Let g(i) = 965*i + 21. What is 5*g(t) - 7*o(t)?\nAnswer: 317*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 23. Solve 6*w - w + 8 = g, 4*g - d*w = 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.43159557 rounded to 1 decimal place?\nAnswer: -80.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 6*g**2 + 4*g - 2. Let b(f) = -f + 1. Let z be b(-5). Does 22 divide j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*s + 4176778 = 4147018 for s.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -10. Let j be (s\/10)\/((-3)\/(-15)). Solve 5*f = j*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 2. Let g = 0 + 4. Let n(i) = i - 2. Let b be 1 + 2 - (-21)\/7. Let h(l) = -l**2 + 2*l + 27. Let p be h(b). Give g*n(f) + p*r(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 490, 1966, 4426, 7870, 12298, 17710, 24106?\n\"Answer: 492*b**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.140917 times -0.2?\nAnswer: 0.0281834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -4.934304.\nAnswer: -1.934304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6508*d + 5989?\nAnswer: 6508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 864*p**2 - 439*p + 6. Let v(g) = -1732*g**2 + 876*g - 13. Let t(y) = 13*k(y) + 6*v(y). What is the second derivative of t(u) wrt u?\nAnswer: 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7861*c**4 + 3016 wrt c?\nAnswer: -31444*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 41*h**2 - 75*h + 182. What is the remainder when p(39) is divided by 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 1 + 1 + (o + 0*o - 3*o)*(-30 + 13 - 80).\nAnswer: 193*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, i: 2, g: 1, r: 3}. Give prob of sequence rgr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*(-5 + 74\/10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 0 - (-118)\/4 and (-6093)\/648 - 4\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5)*1))**2*5 - ((3*1*sqrt(11))**2 + -1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 25. Suppose -11*m + 16*m - 4*q - 1013 = 0, 3*q + 1794 = 9*m. What is the remainder when m is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 1:30 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*z - 1 = -0*p, -3*p - z + 5 = 0. Suppose -m + 33 = -2*t, p*m - t = 51 + 15. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77942379 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)\/d**(-2\/7))**(-7\/13))**(-1\/15) assuming d is positive.\nAnswer: d**(-47\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/(-63))\/(-5))\/((-6)\/7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 18. Let c(g) = -4*g - 35. Let d(f) = -6*c(f) + 13*o(f). Let n be d(-13). Suppose -2*s - 3*q + 33 = -206, -4*s - n*q + 498 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 101*l**2 - 4*l + 4. Let g be h(1). Let f = 124 + g. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-312))\/((-3)\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 25 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/69 - 1407\/(-483). Solve m + 2*m - 3*u + f = 0, -12 = -4*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -506087521 - -506087500.0000009. Let n = 29 + -50. Let p = n - z. What is p rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 530745*b**2 + 1915*b - 42?\nAnswer: 1061490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4106 divided by 13\nAnswer: 4106\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**6\/240 - p**5\/40 + p**4\/16 - p**3\/3 - 2. Let t(d) be the third derivative of x(d). Factor t(k).\nAnswer: 3*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255312.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2 + 2*g + 2. Let i be t(4). Let x = i - -20. Solve -k + 5*k - 5*n = x, 5 = -k - 5*n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/7765560 and -173\/3366.\nAnswer: 132014520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*i**3*x**4 + 2*i**3*x**3 + 54*i**3*x - i*x**2 wrt x?\nAnswer: -1368*i**3*x + 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -259 + 276. Suppose -r*h + 2947 = -13322. Is h a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = -6*d + 5*d, 7 = 3*n - d. Suppose n*y + 6*y = 360. Solve -r = -3*i - 20, 4*r + 2*i - 7*i = y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 10*o = 2*v - 10, 5*o - 25 = -5*v. Let k = -2 + -3. What is the nearest to v in -3\/7, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68012 and 149352.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u - 12. Let p(o) = 4*o + 5. Let q be (4\/10)\/((-4)\/(-120)). Suppose -1 = 5*i - 86. Let f be 2\/(-3) + i\/3. Determine f*y(r) + q*p(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20434 - -110?\nAnswer: 21044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*y + 25 = -y, y - 15 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34238585 a multiple of 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-32)\/((8 + -7)\/(1 - 2)) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2218540, 4437079, 6655618, 8874157, 11092696, 13311235?\nAnswer: 15529774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/184)\/((-3)\/39)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.39, 3, -93?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77781495.\nAnswer: 3, 5, 11, 471403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*(-2)\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243476 (base 9) in base 4?\nAnswer: 203313222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -10. Suppose s*h = -22 + 87. Calculate the remainder when 24 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:42 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320420.\nAnswer: 2, 5, 181, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 + -1.98. Let g = -4.98 - -4. Let r = g - d. Round r to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -112*y**3 + 4*y**2 - 2*y + 2. Let c(r) = -16578*r**3 + 594*r**2 - 297*r + 297. Determine 594*a(j) - 4*c(j).\nAnswer: -216*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 33*i**2 + 12*i + 16. Let m be w(31). Suppose 0 = -7*g + 28*g - m. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10060 - 9795. Calculate the remainder when f is divided by 194.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 176 - -6?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1, -2215, 5, 7, -39 in ascending order.\nAnswer: -2215, -39, -5, 1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -206*w + 4309. Give k(21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 40*x**3 - 3*x - 3. Let v = -7550 + 7722. Let m(t) = 2279*t**3 - 172*t - 172. What is v*b(a) - 3*m(a)?\nAnswer: 43*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:14 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 24*l**2 + 49*l - 488. Does 92 divide w(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 791*o**5 - 73651*o**3 + 303312216*o**2.\nAnswer: 47460*o**2 - 441906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -24*j + 46. Let a be q(2). What is the second smallest value in 134, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 11568159?\nAnswer: 11568163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111871 - 111871 + 8*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.1 (b) 2\/3 (c) -2 (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + 416b80?\nAnswer: 416ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x + 11*x**2 + 11*x + 2*x**2. Let i(c) = 4*c**2 + 5*c. Let r(w) = 11*i(w) - 4*j(w). What is the second derivative of r(y) wrt y?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 394, 746, 1126, 1546, 2018?\n\"Answer: 2*f**3 + 2*f**2 + 332*f + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from {b: 1, f: 3, w: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 1. Let x(t) = 6*t + 4. Let f(g) = 5*n(g) + x(g). Let w(o) = 10*o + 5. Let z(i) = 3*f(i) - w(i). Is z(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:30 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249173231?\nAnswer: 3, 29, 491, 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 4*b**2 + b + 3. Let o be z(3). Suppose o + 3 = 3*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -122 + -4?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01184173683 to 5 dps.\nAnswer: -0.01184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*x - 3*q, 3*x + 0*q + 15 = 3*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/12 + 184\/276)*6\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 5966508*s + 2966601476172.\nAnswer: 3*(s + 994418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 11*h**2 + 5*h + 1. Let d be m(-4). Let u = d - 51. What is the greatest common factor of u and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001809443 to 5 dps.\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4)**11 assuming l is positive.\nAnswer: l**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24408 (base 14) in base 5?\nAnswer: 10313400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12420\/(-42))\/((7 - 3)\/(-140)) + -6?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3 + c - c**2 - 2 - 3*c. Let h(x) = -x**2 + x - 3. Let n be h(0). What is p(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*u**5 - 116*u**4 - 300*u**3 - 340*u**2 - 164*u - 24 = 0. What is u?\nAnswer: -3, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((0 - 1) + -10). Suppose 0 = -3*h + 63 + l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 + (-18*1)\/3 and (-15)\/(-6)*(0 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/(w\/(w**(5\/2)\/w)))\/(w\/(w\/(w*(w\/((w*w*w**(-1\/13)\/w*w)\/w))\/w))*w**(-13)) assuming w is positive.\nAnswer: w**(115\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose -a*p = -196 + 14. Suppose 5*w = p + 4. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-8))\/(728\/672)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 1. Let f be d(-1). Let l be (-3 - -6)*(1 + 0). Suppose f*g + 3 = -l. Sort 0, 5, g in decreasing order.\nAnswer: 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 + 13*i - 17. Let b be a(-10). Let d = 151 - b. Sort 1, -5, 35, d in decreasing order.\nAnswer: 35, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-2 + 10179\/5096). What is the highest common factor of 98 and i?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 18 = -72. Suppose 2*v = -3*v - 55. Let q = v + o. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-35\/4)*i**(-5)*i*i**2*((i\/(i\/(i\/(i*i**0*i))))**(6\/25))**0 assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -2 - -1)\/(8 + -9). Let j(t) = -t**3 + t**2 + 3. Let n be j(0). Solve -z - n = -w*z - r, 4*r = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*y - 48*y - 4369*y**2 + 4372*y**2 + 40*y.\nAnswer: 3*y**2 - 168*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 8. Let z = -1.1 + 5.1. Let i = l + z. Which is the second biggest value? (a) 0.5 (b) i (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -173 + 0?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 + 4 = -2*y, -4*y = 3*l + 38. Let z be ((-18)\/4 - -4)*l. Suppose 0 = -4*k + h + 21 - 5, -4*k = -3*h - 16. Sort k, 1, 5, z.\nAnswer: 1, z, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 7. Let w = 21 - 58. Let i = w - -36.6. Which is the second biggest value? (a) -1\/3 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0*b - 1\/24*b**4 + 0 + 1\/2*b**3 + 12*b**2. Calculate m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 12*q + 47. Let d be v(15). Let h(j) = 24*j**2 + 3*j + 53. Let i(x) = 2*x**2 - x + 3. Let a(b) = d*h(b) - 22*i(b). What is w in a(w) = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:40 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1 - 3) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 35 = 3*w. Suppose -242*j + 262*j = 180. Is j equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2968 - 2973 - 3*a + 8908 - 2967.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 76. Let d be (-20)\/(-6)*c\/5. Suppose d = -4*y + 48. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, 446, 1237, 2356, 3809, 5602, 7741?\n\"Answer: f**3 + 155*f**2 - 3*f - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355.5319ml in litres?\nAnswer: 0.3555319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137768 - 79862. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129188513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6210)\/(-90))\/(-69) - (4\/2)\/(-4). Let o = 0.15 + -0.1. What is the third biggest value in c, -3, -4, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 - 1660 = 56*f + 8*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*r - 12. Let j(y) = y - 4*y - 23 + r*y. What is j(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1616\/((-6)\/4 - (-446)\/300). What is w rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -13. Suppose 12 = 3*d - 3*s, 0 = -c*s - 3. Suppose -300 = -9*f + d*f. Calculate the greatest common factor of 550 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -81. Suppose -m - b*m = -24. Let s(p) = 2*p - 9*p**3 - p**2 + m*p**3 + 4*p**3. What is s(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000711575 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from dvdmdvdmsvz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x - 1. Let w(p) = -62*p + 14. Let u(j) = 56*d(j) + 4*w(j). Let g(b) = -b**2. Calculate g(u(k)).\nAnswer: -1024*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102120 - 1?\nAnswer: -1102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1398*x. Let v(m) = -4*m**2 + 10*m + 25. Let l(t) = -10*t**2 + 24*t + 60. Let n(k) = -5*l(k) + 12*v(k). Give n(q(r)).\nAnswer: 3908808*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8253, 33117, 74561, 132591, 207213, 298433, 406257?\n\"Answer: v**3 + 8284*v**2 + 5*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -6\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v + 16 = 0. Let n(b) = 8*b**3 + b. Let s(m) = -23*m**3 - 3*m. Let p(f) = v*s(f) + 11*n(f). What is the second derivative of p(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + 2*q + 13*q**4 + 2*q**4 - 11*q**4)*(2 - 4 - 3 + 32 - 53 + 23 + (4 - 3 + 0)*(-3 + 1 + 1)) to o + c*q + h*q**4 + a*q**2 + p*q**3 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**4\/5 + 128*k**3\/5 - 236*k**2\/5 - 128*k\/5 + 48 = 0.\nAnswer: -1, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 7*g - 12. Calculate r(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 9*f**2 - f - 5. Determine h(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n**3 - 6*n**2 + 6*n - 23. Let i(g) = g**2 - g. Give d(a) + 6*i(a).\nAnswer: 13*a**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1. Let r(j) = j + 5. Let h(m) = 5*n(m) - r(m). Let u(a) = a**3 - 11*a. Suppose -147*d + 24 = -141*d. Give d*u(p) - 44*h(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z - 2. Suppose 42*c + 122 + 466 = 0. Suppose -2*h = -0*h. Let k(d) = 1 + h - 2 - 4*d. Give c*k(i) + 6*w(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-660)\/462)\/((-2)\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14508 - 4508. What is the greatest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5*11\/(-165))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16201357 and 43282?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 956174 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -1225*i + 468*i**2 + 469*i**2 + 464*i**2 - 1406*i**2 - 1220 = 0. What is i?\nAnswer: -244, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7276 = -506*q + 470*q + 127976. Which is bigger: 3756 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -320, -325, -330, -335, -340, -345?\n\"Answer: -5*x - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 205 + 912 + 649 - 2*u + 786 to f*u + h and give h.\nAnswer: 2533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 82.4. Let k = -8 + q. Let z = k - 2.4. Put z, 0.1, -0.3 in ascending order.\nAnswer: -0.3, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/51)\/(1\/(-3))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 52, 79?\n\"Answer: 27*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -p + 325. Sort p, 1, 15 in increasing order.\nAnswer: 1, 15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -436*a**3 - 10*a - 16. Let x(u) = -145*u**3 - 3*u - 5. What is 3*d(h) - 10*x(h)?\nAnswer: 142*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*c + 52*c - c + 81*c as u + g*c and give g.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*4\/(-12) - (-26112)\/(-180). Let q = 146 + y. Put q, 4\/3, -50 in descending order.\nAnswer: 4\/3, q, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:40 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8120.365ml?\nAnswer: 8.120365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2212*w**2 - 1070*w**2 - 632*w**2 to z*w + k*w**2 + v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 86*q - 117. Let r be z(6). Calculate the greatest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**3\/4 + 105*g**2\/2 - 9795*g\/4 + 8875 = 0.\nAnswer: -71, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - 118. Let o be p + 2 + -1 + 5. Solve l - 13 = -o*w, 2*w + l + 1 = 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902 and 15416.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**7\/21 - b**3\/2 + 3*b**2\/2 - b + 2. Find the second derivative of q(s) wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)*v*v\/(v*(v\/(v\/((v\/(v**(2\/11)*v)*v)\/v)))\/v)*v**(-10)\/(v**(-10)\/v*v) assuming v is positive.\nAnswer: v**(109\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 839066*w\/7.\nAnswer: 2*w*(w - 419533)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (112 + 20 - 111).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 1194 - 123. Is 1\/4 - w\/(-12) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1532 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 90)\/(2 - 3) - 7. Solve 0 = -k*z + 78*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ettgugtsteg. Give prob of sequence es.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/120 - t**5\/30 - 5*t**4\/24 + 2*t**2. Let y be m(4). Let o be 3\/y - 6\/(-8). Let s(f) = 6*f - 1. Give s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240.141 - 240. Round x to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 58*r**2 - 444*r + 1000. What is p(4)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight fifths of a day?\nAnswer: 13824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 0, 4 in ascending order.\nAnswer: -5, 0, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 4\/(-2))*26\/(-117). Which is the nearest to 0.5? (a) q (b) -6\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, i: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39116905 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1501*h**3 - 2*h**2 - 213.\nAnswer: 9006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 12*w + 3. Suppose -33 = -2*c - 5*k, -c - 3*k + 5*k = -3. Let h be t(c). Let j = 14 - h. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5222 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**3 + 2054*u**2 - 25546*u**2 + 12*u**3.\nAnswer: u**3 - 23492*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -16. Let v = d + 75. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahwawwwh. Give prob of picking 2 h and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, -2, 2, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86998252789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -89. Suppose -2*p + 78 = -w. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/11))\/(r\/r**(3\/7))*r**(1\/7)*(r*r\/r**(1\/5)*r)\/r assuming r is positive.\nAnswer: r**(983\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b4 + -12a?\nAnswer: -b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (18 + 216\/(-18))*4\/((-8)\/(-5))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/35154 and 151\/540.\nAnswer: 351540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 57, 43, 23, -3, -35, -73?\n\"Answer: -3*s**2 + s + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-7))\/c)\/c)\/(c\/(c\/(c*c**(1\/13)))*c*c)*c**(-1\/12)\/((c\/(c*c**(-2\/3)))\/c))**28 assuming c is positive.\nAnswer: c**(1155\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202210 (base 5) to base 11.\nAnswer: 26449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 7*n - 4*n - 8 = 0, x - 4*n = -20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 290960 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: Is 7403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 766d (base 15) in base 13?\nAnswer: b551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 445 = -3*k. Suppose m - 37 = -h, -2*m + h + k = -0*m. Calculate the greatest common factor of m and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.3 - -5. Suppose -9*w + 17 = -1. Let j be w\/(-56) + 2\/7. What is the third smallest value in j, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**2 + 4*d**2 - 4*d**2)*(0 - 4 + 2) + 0*d**2 + 2*d**2 - 4*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 1. Let h(g) = -g**2 - 5*g. Let q(o) = -h(o) - 3*z(o). Let l be q(-3). Suppose l*y = 2*y + 8. Solve -y*p + 2*f + f + 1 = 0, -10 = p + 2*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20178559.3 to the nearest one hundred thousand.\nAnswer: 20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -101, -137, -173, -209, -245?\n\"Answer: -36*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {o: 17, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2 - 28 - (85 + -87 + 24).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50371*v**3 + 71678?\nAnswer: -151113*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((1860\/(-624))\/((-5)\/2))\/((-3)\/2) and 137\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 399*d**3 - 4*d**2 + 6*d + 5. Let y be u(-5). Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 3*u + 13 - 13 - 2*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.5, 2\/21, 0.27?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.96 + 2.16. What is the closest to g in -4, -0.07, -0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1744480 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -13. Which is the second biggest value? (a) 3 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -58*n. Let i(b) = 330*b. Determine d(i(a)).\nAnswer: -19140*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*y + 12, -2*y + 20056 = -b + 20053 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -71*n + 287. Let f be t(4). Suppose -q = -u + 113, -f*q + 172 + 361 = 5*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(539) + -2 - -2*(1 + sqrt(539))) + 4 + (sqrt(539) - -3*sqrt(539)*-1) + 0)**2.\nAnswer: 70*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 5*n**2 + 5*n + 2. Let y be c(-2). What is the hundreds digit of y\/1 + 13 + 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by 6701?\nAnswer: 66\/6701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/17086 and -99\/20.\nAnswer: 170860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -341, -934, -2031, -3800, -6409?\nAnswer: -10026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.85717 - -2.14283. Let u = -1106\/9 + 123. Which is the biggest value? (a) u (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 10*h**5\/9 + 2402*h**4\/9 + 113050*h**3\/9 - 728866*h**2\/9 + 486124*h\/9 + 127280\/9 = 0?\nAnswer: -172, -74, -1\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*2 - (-14)\/(-7). Let k be (-2)\/((1 + -3)\/2). Suppose t = -3*l + 4, 0*t + k*t = 2. Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-200) + 1330\/100\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/(-108))\/(85\/476) + 4\/30\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -316541 (base 7) to base 12.\nAnswer: -27b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 601?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from ixmxcxxmk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/8)*l*(l\/l**1)\/l)**20*l**(-1\/7)*l**(-2\/5)*l*(l\/l**0)\/l**4 assuming l is positive.\nAnswer: l**(697\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*5 + sqrt(170))*-3 - (sqrt(170) + 3*sqrt(170)*1))\/(6*(-2*sqrt(1440) + sqrt(1440))*1).\nAnswer: 11*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(96))\/(2*sqrt(72) - sqrt(8)))\/(-1*sqrt(8)\/(sqrt(8)\/sqrt(4))*6) + 3.\nAnswer: -4*sqrt(3)\/15 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 68034?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*z + 5 = 0, -z + 5*z - 319 + 224 = -23*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 - -217. Let c = 111 - 114. Let x be -1 + 126\/8 - c\/12. What is the highest common divisor of x and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**2 - f**2 + (2*f**2 - 5*f**2 + 4*f**2)*(-f + f - 2*f) - 5*f**3 - 2*f**3 + 5*f**3 + (-6*f + 0*f - 10*f)*(0*f**2 + 0*f**2 + 6*f**2).\nAnswer: -101*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u - 0*u. Let a = 1 + u. Suppose a*y - 9 = -2*i + i, -2*i - 5*y = -16. Solve 0 = -4*r - x - 17, -2*r - i*r - 22 = 2*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 7) in base 12?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 896 = -3*t + 3640, 5*m = -10*t + 6870. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.12111 rounded to 2 decimal places?\nAnswer: 57.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(2*sqrt(64) - sqrt(4))\/(-1*sqrt(162)))**2.\nAnswer: 70*sqrt(2)\/9 + 2531\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Suppose 2*q - 8 = -0*q - 2*n, -4*q - 2*n + 6 = 0. Let l(c) = 16*c**3 + 7*c**2. Determine q*l(g) + 5*b(g).\nAnswer: -16*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*n**5 + 7*n**4*s + 11929*n**3 - 59*n**2*s - 7*n**2 + 4*n + s + 24854 wrt n.\nAnswer: -8160*n**2 + 168*n*s + 71574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*f + 287*f + 480*f - 16 + 529*f.\nAnswer: 1418*f - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:11 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2960377?\nAnswer: 5920754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.439456 micrometers in kilometers?\nAnswer: 0.000000001439456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -21*o**2 - 3*o - 12. Let c = 31 + -26. Suppose -2*t + c*x + 20 = -21, 4*t - 46 = -2*x. Let y be w(t). Round y to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -664037670?\nAnswer: 664037667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2297 + 102*s - 2297)*(s - s + s).\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-60)\/27 + 88\/(-9). Put 0.04, 0.1, s in descending order.\nAnswer: 0.1, 0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(1377) - -6*(-2 + sqrt(1377))) + 4)*-6)**2)*6*-1 + -4.\nAnswer: -14588020 + 217728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10868 + -10811 - (0 - -3 - (0 - 0)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9932 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**4*t + 160*s**4 - 707*s**2*t wrt s.\nAnswer: -24*s*t + 3840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*c**3 - 862 - 4*c - c**2 + 862 in the form t*c + g*c**2 + w*c**3 + u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2 + 59*h - 60 = 0. Calculate h.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31782933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5*n + 50 = 0, 788*u + 35 = 791*u - 3*n - 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Let g(i) be the first derivative of -1 + i**w - 2 + 12*i - 12*i. Solve g(x) = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50562 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96247 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -3*i**4 - 134*i**3\/3 + 140*i**2. Let b be z(-24). Round b to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 280508*m - 9835592258.\nAnswer: -2*(m - 70127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/338*((-2850)\/(-20) + 4 + 3).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2\/5, 0.3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(21\/(-15) + (6 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 34. Let v be l(0). Let y = 36 - v. Let b = -5.1 + 1.1. What is the third smallest value in b, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 86\/3 - (-2)\/(-3). Suppose 0 = s + 3 + 1, -5*s = -4*f + h. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5000 and 388400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73875 or -75682?\nAnswer: -73875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10222200?\nAnswer: 10222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*m + 118 - 14, 4*z - 188 = m. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2008 and 1744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2730 = 13*i - 43*i. Calculate the greatest common divisor of i and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 6*c - 6. Let v(x) be the third derivative of -x**5\/30 - 5*x**4\/24 + 5*x**3\/6 - 10*x**2. Calculate 5*f(i) + 6*v(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -5 + 1\/2*x**4 - 2\/3*x**3 - 6*x - 5*x**2. Factor m(a).\nAnswer: 2*(a - 3)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 1. Let m(a) = -a - 1. Let g(c) = -m(c) + n(c). Let l(q) = -q + 4. Let t be l(4). Let p(z) = 2*z**2 + 0 + t. Calculate p(g(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938999 is divided by 2082?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**8\/756 - 2*c**7\/315 - c**6\/135 + 2*c**5\/135 + c**4\/18 + 2*c**3\/27 + 2*c**2. Find o, given that z(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfnn when four letters picked without replacement from {f: 4, n: 3, r: 2, d: 3, m: 6}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*a**2 - 100*a**2 + 198*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = 5*s. Let k be (-15)\/(-4 + s) + -2. What is the third smallest value in -1\/8, 0.5, -7, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from {z: 3, g: 8, f: 5}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbqbqgbbbbbc. What is prob of picking 1 g and 1 c?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(70)*-1*-2*5)\/(-1*-5*sqrt(160)*-2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*y**3 + 0)*(-1 + 1 + 1) - 2*y + y**3 + 2*y + 22*y**3 + 14*y**3 - 5*y**3)*(7*y - 18*y - 18 + 10*y).\nAnswer: -30*y**4 - 540*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/60 - 2*o**2. Let z(y) be the second derivative of -11*y**3\/3 + 85*y - 2. What is z(h(v))?\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 1 - 10. Let g(l) = -3*l - 5 + l**2 - t + 2. What are the prime factors of g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 2. Suppose 5*n = 3*b - 5, -n + 2*b + 3*b = 23. What is c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6490\/3 - 24685\/12. Let p = 1749\/16 - l. What is the common denominator of -151\/72 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(72)\/(4*sqrt(8)) + sqrt(9)).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 805 and 35?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u**3 - 4*u**2 - 4*u. Let q(d) = -286*d**3 - 77*d**2 - 77*d. Let j = 193 + -189. What is j*q(p) - 77*t(p)?\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -11*x**3 - 73*x**2 - 47*x - 6. Give k(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 304*k + 882. What is the thousands digit of p(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2637 (base 9) to base 16\nAnswer: -7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -362*n + 400. What is the hundreds digit of j(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/8, 4, 3059.5, -2, 1\/6 in decreasing order.\nAnswer: 3059.5, 4, 1\/6, 0, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1839, 3 in descending order.\nAnswer: 3, -15, -1839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 162729318.\nAnswer: 1\/81364659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -30. Suppose 10*g = y*g - 80. Solve g = 2*m + 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v - 8. Let i(t) = -6*t + 9. Let y(u) = 18*u**2 + 397*u + 27. Let l be y(-22). Determine l*i(s) + 6*a(s).\nAnswer: 6*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 396 + -826. Let h = 433 + u. What is the closest to 0.1 in h, -1\/8, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 20, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27743592 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9753241 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/408144 and -5\/21648.\nAnswer: 16733904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4731, 9668, 14605, 19542?\nAnswer: 24479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 42, 96, 170?\n\"Answer: 10*v**2 + 4*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 41*p - 767. What is the remainder when o(-26) is divided by 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 20*b + 341. Is m(-48) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (8 + -8)) + -17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 1. Let s(g) = 8*g**3 - 7*g - 4. Determine s(f) + 3*w(f).\nAnswer: 8*f**3 - 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 71*t + 31. What is the hundreds digit of q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 18. Calculate w(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 159896070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from xbxbmexbxxxm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -17244?\nAnswer: -17244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r + 16*r - 30 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 + -2144\/17. Let n(i) = -i**3 + 11*i**2 + 11*i + 14. Let g be n(12). Which is the second smallest value? (a) p (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 222733*a**3 - 251 + 44210*a**3.\nAnswer: -178523*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 285*v + 16 = -288*v, q - 4*v - 33 = 0. Sort -0.3, 0.4, -38, -0.1, q in decreasing order.\nAnswer: q, 0.4, -0.1, -0.3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7438963 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39\/133 - 8\/19. What is the third biggest value in h, 3, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4653 = 9*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -4. Suppose 5*u + 5*a = 70, 2*u - 2*a = -3*a + p. Suppose q + 0*s - 2 = -2*s, q - 3*s - u = 0. What is the greatest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/3)\/r**6 assuming r is positive.\nAnswer: r**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 26*r + 78. Let u = r - -26. Suppose 2*j = 5*q + 22, -j + 0*q - q - 3 = u. Solve -2*b + j = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7677 divide 51036696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1925*y - 195786 = -20611 for y.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 7, 3, 41, -2, 15 in descending order.\nAnswer: 41, 15, 7, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99783 + 25*s**3 + 99783.\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/44)\/(-78*7\/(-18018))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10791\/5995*(40\/(-6))\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -25. Let w be 128\/(-20) - (-6)\/j. Let i be 1 + -7 - (1 - 0). Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 - 16*c + 8. Calculate l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16655.763 - -16656. What is the third biggest value in -19, 4, u?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3524 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3392 - 2048. Does 64 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317160161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 10 - (4 + -6 - 25)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 - 61. What is the greatest common factor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t**2 + 70054*t**3 - 2*t**5 - 32*t**4 + 70039*t**3 - 140195*t**3 = 0.\nAnswer: -12, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 7*k**2 + 2*k - 7. Let m = 3 - -1. Let f(d) = 9*d - 190. Let n be f(22). Suppose 5*z - 10*t + n*t = -22, 5*z + 46 = -m*t. Determine q(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 2. Let t be y(0). Let i(w) = w**2 + 3*w + 1 - 9*w - 2*w**2 + t. Let j be i(-6). Solve -2*c - j + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i + 463. Let w(z) = -11*z - 921. Let l(r) = -11*n(r) - 6*w(r). Is l(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 0.3 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 13. Let r = 126 - 115. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -17*q + 11. Let d(u) = -37*u + 23. What is -9*b(z) + 4*d(z)?\nAnswer: 5*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 64640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8*g + 2166 = 0. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02449 + 0.10155. What is r rounded to 3 dps?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1076, -2081, -3028, -3923, -4772, -5581, -6356?\n\"Answer: -h**3 + 35*h**2 - 1103*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*s**3 - 1 + s + 83*s**4 - 84*s**4 + 0*s + 3 - 4 - s**2 in the form w + b*s**2 + u*s + k*s**4 + g*s**3 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*(sqrt(90) - (sqrt(90)*-2 + sqrt(90))))\/sqrt(5))\/(sqrt(9) + (-1*sqrt(576) - sqrt(9)) + sqrt(441)*-1).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 56.1. Let a = 11.1 + j. Is a bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -348536?\nAnswer: -348536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 398138 and 39063463.\nAnswer: 15313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -2\/19, -2.7822, -0.5, 0.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*k + 29*k + 24. Suppose 0 = -4*x + 8, 2*a + x - k = 6. Let s = -7 + 12. What is the least common multiple of s and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-12))\/(-65)*5\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Let o = 27 - t. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -5*a + 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/22 + (-11)\/(-2). Let j(f) = -6*f + 2. Let w(t) = 6 + 6*t - 17*t - 1. Let p(s) = 5*j(s) - 3*w(s). What is p(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-352)*8*-78\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 2*b. Let r be q(2). Is 9 a factor of (-10 + 1)*(-8)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*a**2 + 110*a**2 + 29*a**2 + 27*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -34, -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 10327 = 11*s + 10761 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326275, -326278, -326283, -326290?\nAnswer: -326299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**3 - b. Let m be d(1). Let c(q) = 730*q - 10. Let l be c(m). What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*o - 29 - 26, -4*o = -2*c + 52. Suppose -45 = 17*d - c*d. Calculate the highest common factor of d and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 61*l + 179. Give o(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 + -94. Does 35 divide 1396\/j - 12\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5652952 and 14132380.\nAnswer: 28264760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-894)*288\/13920*-29.\nAnswer: -1\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/364 and -37\/2.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/b*b*b**8\/b)**(-4\/9) assuming b is positive.\nAnswer: b**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:49 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 703*o + 4970. Let j be r(7). Solve 12*k - 664 + 724 = j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*a = 133, 3*a + 11 - 206 = 5*q. Let m = 35 + q. Put 2, m, -5 in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1921.863 litres to millilitres.\nAnswer: 1921863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/30 + 27*o**4\/4 - 84*o**3 + 3*o**2 + 208*o. Factor n(l).\nAnswer: 2*(l - 3)*(l + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from fgggegggfgeefeggf.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1257 + -777. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133*j**2 - 544*j**2 - 545*j**2.\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 291*s**2 + 14749*s - 50153. Determine t(227).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9962\/3 - 3320. Let l = 31 + -28. What is the biggest value in l, 0.1, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9632.63 rounded to the nearest 10?\nAnswer: 9630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 10*r**2 - 23*r - 14. Let y be d(-7). Suppose g + 4*j = 219, y = -2*g + 3*j - 6*j + 423. Calculate the remainder when g is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-1)*((-1)\/(-2))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmppmuxmxmmx. What is prob of picking 1 p and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 485 - 291. Does 37 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + h**2 - h + (-2 + 2 - 2)*(-h**2 + h**2 - 2*h**2) + 20607*h**2 + 4241*h - 10304*h**2 + 2 - 10304*h**2.\nAnswer: 4*h**2 + 4241*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7694893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o - 4*j - 200, j = -3*o - 160. Let i be ((-9)\/(-3))\/((-1)\/o). Let r be (12\/i)\/(4\/(-10)). What is the second biggest value in 1\/2, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1547 - -1550. Solve -v - 5*g - 15 = -2*v, 5*v + q*g + 37 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610353 minus 0.8?\nAnswer: -610353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2938293*x**3 + 17*x**2 + 1021*x wrt x.\nAnswer: -17629758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b8bab6 - -5?\nAnswer: -7b8bab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*z + z. Let y be (0 + (1 - 0) + -1)*1. Sort -1, z, y.\nAnswer: -1, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 20839.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -303456 divided by -1744?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -7905351 and -7905349 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223 - -222. Which is smaller: -9\/4 or g?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {z: 1, c: 3, w: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {g: 1, q: 1, l: 1, v: 1, x: 2, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68.9424 - -0.0576. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 1107*l**3 - 29 + 10.\nAnswer: 1107*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68649 by 68649.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(5\/(-2)) + 5. Let p(x) = -7 + 8*x + q. Does 16 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*u**5 - 20*u**5 - 20*u**5 + (-3*u - 4*u**2 + 3*u)*(2*u**3 + 0*u**3 + 7*u**3) + (-3*u + 4*u - 3*u)*(2 - 2 - u**4).\nAnswer: -60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 805281 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5951 divided by 5951?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307142836.\nAnswer: 2, 7, 11, 13, 79, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 186\/(-124) + (-6)\/(-4). Suppose k = 232*t - 223*t - 1530. Is t > 170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 times -1319168?\nAnswer: 166215168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -794, -2779, -5980, -10397, -16030, -22879?\n\"Answer: -608*r**2 - 161*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -3 - (40 + -36). What is the first derivative of 5*f**4 - f**3 - 429 + 448 + t*f**3 wrt f?\nAnswer: 20*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, -1\/8, -21922?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195040677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9880375.124 and -0.5.\nAnswer: -9880375.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 9*x**2 - 69*x - 9*x**3 - 51*x**2 + 28 + 1.\nAnswer: -3*(x + 2)*(x + 5)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31a76 (base 11) to base 4\nAnswer: 23113103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -24, -10, 30, 102, 212, 366, 570?\n\"Answer: a**3 + 4*a**2 - 25*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 2, -1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 20*u**2 - 43542. Let y(j) = -108*j. What is y(g(i))?\nAnswer: -2160*i**2 + 4702536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4747315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29383 is divided by 2334.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.932 + -0.068. Let t = -1591152412.99999895 - -1591152364. Let a = t - p. Round a to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7741702880.\nAnswer: 2, 5, 3677, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74f - -3?\nAnswer: -74c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -0.01, -5, -0.24, 5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -15*d + 4. Is 47 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117) + -1 - sqrt(117) - sqrt(117)) + -5 + ((sqrt(26)*-1)\/sqrt(2) - sqrt(156)\/(sqrt(132)\/sqrt(11)))**2.\nAnswer: -3*sqrt(13) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 2*l - 3 + 4. Let w(b) = 8*b + 4. Let p be (0 + -1)\/((-4)\/4). Let o = -183 - -179. What is o*a(m) + p*w(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*w**(-13) assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**3*d)\/d)\/d*d**(-3)*d*d)\/((d\/((d*d**2)\/d*d))\/(d*d**(-2)))*(d**(-1\/2))**47\/(d**(-2\/13)*((d*d**(-4\/9)*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-4423\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*y**2 + 20 + 94 - 66*y**2 + 6 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**2*t**3 + 1553*r**2*t**2 + 3934*r**2*t + 15692*r*t**3 + 1664*r wrt r.\nAnswer: -4*t**3 + 3106*t**2 + 7868*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m + 12100 = -8990. Calculate the remainder when m is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 2*h + 5*h - 56 + 57 + 2*h**2 in the form x*h**2 + f*h + q*h**3 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -n + 3, 9 = n + 4*b - 3. Let o = -1 + 5. Suppose -4*t - o*h = -32, t - 2*t + 2*h - 4 = n. Solve -2*c - t*p + 1 = 3, -3*c - p = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/21)\/(((-18980)\/195)\/(-146)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 4*m + 2. Let k be q(2). Let f be 43\/5 + k\/5. Let c = -3 + f. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(300)) - ((sqrt(300) + -2)*-3 - sqrt(300)) - ((sqrt(525)\/sqrt(7))**2 - sqrt(30)\/(sqrt(60)\/sqrt(6))).\nAnswer: -84 + 71*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.8001. What is t rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:37 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x + 38. Calculate m(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 11.9. Is -2\/3 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7520 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 210357.1g?\nAnswer: 210.3571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 40*o - 2*o**2 - 3*o**2.\nAnswer: -o**2 + 40*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 7. Suppose -i - u + q = 0, -u + 17 = -3*i + u. Suppose -2*b + 3*b - 4 = 0. Sort b, 2, i in ascending order.\nAnswer: i, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18600 is divided by 6179.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64.9999948 + -65. What is q rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + q + 1 = 0, 2*r + 4*q - 8 = -2. Suppose a + 6 = 4*a. Let s(t) = t**a - 3*t + 9*t - 2*t + t. Determine s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*h + 216*h + 209 = 0. Solve -h = -6*z + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -136. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11433491 is divided by 2429.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3*d + 49*b**3 + 3270440*b**2*d**3 + 230*b**2 + 1 wrt d.\nAnswer: 2*b**3 + 9811320*b**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -23 - (-32 - -30 - (4 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8856 + 8928. Solve -16*g - 152 = -f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v**2 - 20*v**2 + 39*v**2 - 1 - v**3. Give i(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 - 3 - -148 - (-17 - -4)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 30. Let z = 4 - v. Put z, -0.1, -0.3 in ascending order.\nAnswer: -0.3, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -5, -0.6, 5\/6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -687*v + 498 wrt v?\nAnswer: -687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4502 - 4501. Put -69, -3, 0.2, i in ascending order.\nAnswer: -69, -3, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4) - ((-1172)\/8 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 26*r**2 + 6*r - 21. Let z = 8 + -4. Is p(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 19 = -4*x + 2*n, 0 = 4*x - 2*n + 18. Let p = -0.14 + -0.06. Which is the third smallest value? (a) 0.1 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424 divided by 938\nAnswer: 212\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*r + 18, 28 = 4*r - 7*g + 3*g. What is the third derivative of -36*o**4 - 36*o**2 + 4*o**4 + 11*o**4 + r*o**4 wrt o?\nAnswer: -312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14241609 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 32. Let t be -3 - (0 + b - 15). Calculate the greatest common divisor of t and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -7083c?\nAnswer: 70838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44269956*o**2 - 3 - 44430315*o**2 + 3.\nAnswer: -160359*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 815316463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895799183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 + -13 + 2 + 58 + -4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082185 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7092 (base 10) in base 13?\nAnswer: 32c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 + 10*d + 1. Let x(s) = 13*s**2 - 21*s - 3. Let k(l) = 5*u(l) + 2*x(l). Calculate k(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133 - 3133 + 141620*q.\nAnswer: 141620*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16923046*c*k**3 - c*k**2 + 148174208*k**3 wrt c?\nAnswer: -16923046*k**3 - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -139, -122, 121, 704, 1741, 3346?\n\"Answer: 19*y**3 - y**2 - 113*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21220202 - -20000010000?\nAnswer: 20022000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 871013021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2851 - 437 - 232 = -220*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7972444?\nAnswer: 2, 23, 193, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 307552, 307572, 307622, 307714, 307860?\n\"Answer: 2*k**3 + 3*k**2 - 3*k + 307550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 9 = -109. Suppose -2*h = 2*h + 2*f - 26, 3*f - 24 = -3*h. Calculate the highest common divisor of w and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/11 + 240*d**4\/11 - 15472*d**3\/11 + 10368*d**2 + 649376*d\/11 + 715008\/11 = 0. What is d?\nAnswer: -168, -2, 14, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*o + 615 = -20788 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 + -5 + (6 - 2) + (-10 - 1) + 7.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/2146140 and 61\/90?\nAnswer: 2146140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, 148, -2 in decreasing order.\nAnswer: 148, 26, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 + -0.4. Let f = 1\/2246 + -26981\/65134. Let n = f - -118\/145. Which is bigger: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 393 and 29213?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 13159?\nAnswer: -13167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2350)\/(-376) - (-6)\/(-8). Let n(w) be the first derivative of 10*w + 15 - r*w**2. Differentiate n(m) wrt m.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 75\/(-36) + (-3138760)\/(-480). Calculate the highest common factor of 52 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from uzkaazaku?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -40215 divided by -2\nAnswer: 40215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 15*m + 87. Let h be t(-12). Suppose 0 = 3*c - 4*b - 1277, 28*c + h = 30*c - b. What are the prime factors of c?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, 36, 466, 1386, 2958, 5344, 8706, 13206?\nAnswer: 19006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-12 + 8 + 12 + 7)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:10 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316)\/(-20) + (572\/1287)\/((-5)\/9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15733843062 and 0.5.\nAnswer: 15733843062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m - 262*m - 28*m.\nAnswer: -216*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2. Let x(h) = -h**3 + 2*h + 2. Let m be x(-2). Let v(z) = -11*z + 16*z - m*z. What is k(v(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((20 - 21 - -16) + 1 + -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, 1, -0.7 in decreasing order.\nAnswer: 1, -0.7, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9090526 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let x(u) be the second derivative of 20*u**3 - 775*u. Determine 48*v(s) - x(s).\nAnswer: -72*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 13*h + 4. Let b(c) = c**2 - 15*c - 3. Let r(y) = 3*b(y) + 4*f(y). Suppose 2*v - 4*v + 14 = 0. What is r(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 + d**2 - 21 - d**3 - 25 - 32 - 7*d + 72 in the form j*d + y + v*d**3 + o*d**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccfzzzzczczfcf. Give prob of picking 2 z and 2 c.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 4*i + 0*i)*(3*i - 5*i + 4*i)*(0 + 3 - 1)*(5 - 3 - 3)*(70 - 10 - 33) as u*i + h + d*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2. Let b(f) = 569563634*f. What is h(b(c))?\nAnswer: -648805466350571912*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169579*g = -169693*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 37*i + 20. Let j(s) = -s**3 - s**2 + 3. Let k be j(0). Let w be l(k). Find the second derivative of 127 + 31*h**2 - 258 + w - 32*h wrt h.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 24*u**3 - 6*u**4 + 4*u**4 + 20 in the form l*u**2 + s*u**3 + r*u**4 + g*u + d and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u + 13. Let h be p(-3). Is (h + 0)\/(-2)*(-14 - -2403) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - -49 - (-1 - (0 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6663618 and -37\/142?\nAnswer: 473116878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8193 = 4*a, -a + 1635 = q - 0*a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 13. Let w = -1 + 1. Suppose 2*h - z*a - 7 = 6, -4*h - 2*a + 14 = w. Solve i = 2*u - 1 + h, 1 = i - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 + 537650?\nAnswer: 537563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 453973*p*u**3 - 2*p*u**2 - 18*p + 40357 wrt u?\nAnswer: 1361919*p*u**2 - 4*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 196182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 4*s - 7. Let o be 5*(2 + -5 - -4). What is a(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*t*x**3 + 90209*t*x**2 + 2404*x**3 - x**2 wrt x?\nAnswer: 66*t + 14424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/6*(-476)\/21. Let t = -30 + x. Which is the closest to -2\/9? (a) 0.04 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {z: 4, e: 1, f: 1, j: 1, k: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 22*q**2 - q - 2. Let x be l(-1). Calculate the highest common divisor of x and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - -0.05. Put 2, 2\/15, z in descending order.\nAnswer: 2, 2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139735279273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 41130 (base 5) to base 15\nAnswer: bca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14e (base 16) to base 12.\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j + 204. Determine x(-52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16740952 divided by -4185238?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003844002 rounded to 5 dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 47 - 18 = 0. Find the first derivative of 12*p**3 - 7 + 4 + j wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -28*c + 10. What is the remainder when a(-1) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0*w = -4*w + 42, -16 = 11*d - 34*d + 3*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 19. Suppose v*f - 553 = 407. Let m = 25 + -10. Calculate the highest common divisor of m and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 11641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:06 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 412*(-10)\/(-160) - 1\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1222 + 2?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*a + 3*u, 3*a - 30 = -0*a + 2*u. What is the least common multiple of a and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(24\/256*8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a - 112 - 58 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*s - 264 = -387*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + (-12)\/10)\/((-12)\/390)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754598857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 1. Let u be x(0). Let a = 2 + -2. Sort u, a, 2 in increasing order.\nAnswer: a, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(153) - (sqrt(136) - 2*sqrt(136))\/sqrt(8).\nAnswer: 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853985733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -13*g + 60 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 227*n**4\/4 - 2*n**3\/3 + 13227*n**2\/2 + 213. What is the second derivative of s(g) wrt g?\nAnswer: 1362*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*7 + 10\/5. Let f(c) = c + 9. Let l be f(m). Suppose -2 = -s + l. Solve w - 2*v = s, -8 = 3*v + v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*u + 3*u. Suppose 2*n - 6 = u. Let d = n - 10. Sort -2, 2, d.\nAnswer: -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 15*t + 4 = 33*t. Are t and 43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -0.59999979. What is a rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z - 4*c - 9, c + 44 = 2*z. What is the greatest common divisor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 1, q: 2}. Give prob of sequence fq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgqgqqggwggg. Give prob of sequence gwg.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 2)*(-2*q - q + q) - 46*q - 24*q - 22*q)*(3*q - q**2 - 3*q)*(-3*q**2 - q**2 + q**2 + (0 - 3 + 4)*(q**2 - 2*q**2 + 0*q**2)).\nAnswer: -352*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v + 6586 + 6588 - 13174 - 36*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**18\/n*n)\/n**(-3))\/(n**(-5\/2)*n\/(n*n**14\/n)*n) assuming n is positive.\nAnswer: n**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 2*t**2 - 20*t + 11. Calculate v(-4).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/15, -0.3, 3\/11, 10, -4\/3, 13 in ascending order.\nAnswer: -4\/3, -0.3, 1\/15, 3\/11, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3012 and 25948380.\nAnswer: 25948380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -29. Let t = z - 15. Suppose 0 = b - 0 - 2, t = 3*m + 5*b + 8. Let g(q) = q + 6. Calculate g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 63*n - 7*n**2 - 134*n**3 + 86 + 254*n**3 - 121*n**3. Find the first derivative of y(d) wrt d.\nAnswer: -6*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.01186 litres?\nAnswer: 7011.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 3*p**2 + p**2)*(-43 + 16 + 14).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3080 (base 9) to base 15.\nAnswer: a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/11)*y)\/y*y**16*y**(-12)\/(y\/((y\/y**(-3\/10))\/y)) assuming y is positive.\nAnswer: y**(403\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 2*p, 2*p = 5*q - 495. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from zsgzzsttztg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 + 1602412*b\/5 - 1602413\/5.\nAnswer: (b - 1)*(b + 1602413)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d. Let n be b(1). Let f be ((-1)\/3)\/(n\/(-99)). Suppose -2*t = -t + f. Is -10 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 8*t**2 + 5*t + 5. Suppose -11*h - 48 = 7. Let w(d) = -d**3 - 9*d**2 + 6*d + 6. What is h*w(o) + 6*l(o)?\nAnswer: -o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 0*(-2)\/6. Suppose 1 + a = c. Suppose 0 = 5*g + c*l - 5 - 62, l = -5*g + 66. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 6807271?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -141335?\nAnswer: -141334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.178 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 263\/70 (b) 1 (c) 0.71 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (-1*sqrt(891) + -1 - sqrt(891)))**2.\nAnswer: 54*sqrt(11) + 8020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 8*o - 2*d = 5, 0 = 2*o + 2*d + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 206557, -1932?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -4*i**7\/7 - 14*i**5 - i**3\/3 - 310*i - 130. Find the third derivative of r(a) wrt a.\nAnswer: -480*a**3 - 1680*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -23*m - 11. Suppose 3*q - 2 + 20 = -z, 3*q - 4*z = -18. Let c(x) = 6*x + 3. Let n(f) = q*v(f) - 22*c(f). Give n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*p + 630. Let r = 1183 + p. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-822)\/1120)\/(-3) + 14625\/(-78000)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*y + 24. Suppose 5*k - 4 = y. List the prime factors of (k\/(-3))\/((-1)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1036*t + 3608. List the prime factors of l(-26).\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*n - 0*n - 24, 0 = m + 5*n + 22. Let l(f) be the third derivative of 41*f**4\/24 - 3*f**3\/2 + 557*f**2. List the prime factors of l(m).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 2*n + 0*n + 1. Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1065 - 1162. Is a at least as big as -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2039, 8191, 18431, 32759?\nAnswer: 51175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -182, -175, -168, -161?\n\"Answer: 7*j - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1071 or 1075?\nAnswer: 1075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -1 (c) -40 (d) 1 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4886094, -9772191, -14658288, -19544385, -24430482?\nAnswer: -29316579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (2 - 3))\/(2 + -3). Let n(l) = 2*l**2 - 4*l + 1. Let b be n(-4). Suppose 5*y - 154 = -b. Calculate the highest common factor of y and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4131342538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 50*i - 46*i - 7 = 0, -2*z + 12 = 5*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(-16)\/(b\/(b**25*b*b)*b**(-28)) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*a**3*x**2 - 131220*a**3 + 2*a**2*x + 291*a*x**2 - 6*x**2 - 9*x wrt x.\nAnswer: 216*a**3 + 582*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(66))\/((sqrt(294) + sqrt(6))*6 + sqrt(6)))**2.\nAnswer: 11\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 1. Suppose 4*b - 2 = -3*f, 1 = 3*b + f + 2. Let t(c) = 3 - 2 - 4 + 3 + 1. Determine b*t(k) - r(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(344*d - 1203*d + 2708*d) + (-2*d + 8*d + 0*d)*(-1 + 1 + 2) in the form j + q*d and give q.\nAnswer: 1861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -11*w**3 + 5*w**2 + 8*w - 1. What is d(3)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 28 + 99*k - 12 - 8 + 75*k in the form i + c*k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Let i = -5 + 8. Let k be (2 + 54\/i)\/1. Solve 0 = -0*n + r*n - k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2708700?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780289 is divided by 909.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(30) - (sqrt(150) - -2*sqrt(150))\/sqrt(5))\/(sqrt(110)\/(sqrt(99) - sqrt(11)))*-3)**2.\nAnswer: 144*sqrt(3) + 2598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-11)\/(22\/(-140)). Let x = n + -64. Solve -x*b = -4*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114887527.5 rounded to the nearest 1000?\nAnswer: -114888000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*w = -19, -w - 9 = -2*g - 2. Solve 2*t + 4*s = 10, 5*t = -3*s + g + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 = -5*m - c, 3*m - c - 403 = -m. Suppose 3*u + 82 = m. Solve b = 2*h + 7, -b = -3*h + 2*b - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41557, -83075, -124557, -166003, -207413, -248787?\n\"Answer: 18*c**2 - 41572*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 2*l + 20. Suppose -2 = -3*z + l. Suppose o + 8 = z*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34\/5 of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -23928?\nAnswer: -5\/11964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from ozozoooo?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5\/2 + 111*o**4 + 4323*o**3\/2 + 3996*o**2 + 1944*o = 0.\nAnswer: -36, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320.96 + -320.66. What is the smallest value in b, -0.4, -1722?\nAnswer: -1722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*i - 365*i - 464*i + 1177*i.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 3143041?\nAnswer: 3143030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(176))**2 + (sqrt(176) - (4 + sqrt(176)*2)).\nAnswer: -36*sqrt(11) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (329 - 165 + 903 + 191 + 1925)*(0*z + 17*z - 3*z).\nAnswer: 44562*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*x + 11, 4*m - 43 = -3*x + 11. Suppose -8*h = -3*h - m. Solve 0 = -5*p - v + 4*v - 17, 5*p + h*v + 23 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 951 - 302. Let n = p - 606.1. Let o = 42.8005 - n. Round o to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*y - 75, -y - y = 0. Let r(o) = 6*o + 3. Let u be r(-2). Let x = u + m. 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: Suppose -5*l**3 - 3310*l**2 - 537740*l + 3346680 = 0. Calculate l.\nAnswer: -334, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*h - 134*h - 14 = -w, 3 = -h. Solve 5*j = -3*u - 31, w*j + 18 = u + 4*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 446 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 851615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8620874, -0.5, 0.3 in decreasing order.\nAnswer: 8620874, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 38*c**3 - 1. Let w be a(1). Let f(n) = -2*n - 3. Let m be f(-3). Suppose -2*k + m*k - w = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 7*w + 2. Give p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -6*z - 6. Let u(j) = -8*j - 44. Let n be u(z). Does 9 divide (n\/10)\/(4\/540*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.07, 1, -1, 13 in descending order.\nAnswer: 13, 1, 0.4, 0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2974801 (b) -4.2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 4.1. Let x = 9.2 - 0.2. Let p = x + -8. Which is the closest to p? (a) -0.3 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 472*x**5 + 846*x**2 - 189*x + 2437?\nAnswer: 9440*x**3 + 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1.119008, -4, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1))**(1\/5)*(l\/(l\/l**4)*l)\/(l*l\/l**(-4\/9)))**(-36))**2 assuming l is positive.\nAnswer: l**(-848\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/8)\/n*(n\/n**(3\/11))\/n*n**6\/(n**18\/n) assuming n is positive.\nAnswer: n**(-1003\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((1 - 2)\/(-1)). Let v = o - 2. Let u be v\/(4\/(-39)) - -1. What is the highest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1\/11)))\/(u*u\/u**(-3\/5)*u))\/((u**(1\/6)\/u)\/u*u*u**(1\/9)*u)*((u\/u**(-2\/3))\/u*u**3)\/(u**0)**(-10) assuming u is positive.\nAnswer: u**(-299\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 14. Let q be 1\/((-3)\/4)*3. Let y = -2 + 7. Sort q, n, y in decreasing order.\nAnswer: y, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 55*n + 150.\nAnswer: 5*(n - 6)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -17771\nAnswer: -3\/17771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1.2. Are 0.1 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 16. Suppose -t*m = -31 - 4. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/21, 9, -3\/7 in descending order.\nAnswer: 9, -8\/21, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -197*v**2 - 152*v**2 - 60*v**2. Let y(u) = 5*u**2. Calculate y(g(f)).\nAnswer: 836405*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*s = 6*n - 150, 4*n - 265 = s. Calculate the highest common factor of n and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*n*o**2 - 328357*n*o - 929309232*n - 31*o wrt o.\nAnswer: -6*n*o - 328357*n - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -201, -199, -197, -195, -193, -191?\n\"Answer: 2*q - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*l + 0)*(-1 + 0 - 1)*(-3 + 1 + 4 + (4 - 4 + 1)*(4 - 3 + 0) + 4 - 2 - 3) in the form a*l + q and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343573*s**2 + 269371*s wrt s?\nAnswer: -687146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 3*w + 3. What is the remainder when 50 is divided by x(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 + 95. Let i = 148\/3 + p. Let b = 0.003 - 3.903. Which is greater: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1377) - 2*sqrt(1377)) + 5 + 4*(sqrt(1377) + sqrt(1377) + 1*2*sqrt(1377) + sqrt(1377) + sqrt(1377)))**2.\nAnswer: 1656*sqrt(17) + 728449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 9*a**2 - 9*a - 7. Let b(n) = 3*n**3 + 14*n**2 + 14*n + 11. Let m(l) = 5*b(l) + 7*t(l). What is m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (7 + 2 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -6. Let p be 9\/1 + w\/(-1). Calculate the highest common divisor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 4*m + 1. Let r be p(-3). Suppose -r*c = -9*c + 1810. Suppose 3*w - c - 85 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 4*l**5 + 5*l**3 - 11. What is the third derivative of o(x) wrt x?\nAnswer: 480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -892*r - 2681. What is f(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let c be (-4)\/(-26) - (-205)\/(-65). Let h be (0 - 2)\/(c\/12). Suppose -h + 29 = 7*n. What is w(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -6, 1, 12.\nAnswer: -6, 1, 5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 21*j**2 + 311751*j + 89070 = 0?\nAnswer: -14845, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -0*q - q. Let y(u) = -u**3 + 12*u**2 + 12*u + 18. Let h be y(q). Solve m + 3 = -2*z, 0 = -0*z + z + h*m - 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 63, 0.204, 0.4, 30?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(12\/(-720)*15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23116 + 22994. What is the nearest to -1 in -3, t, -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.261803 weeks in microseconds?\nAnswer: 3787138454400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f)\/f)**(-1\/8)\/(f**(-1\/4)\/(f\/f**(3\/4)))*(f*f*f*f*f**(-2\/5)*f**5\/f)\/(((f\/(f**6*f)*f)\/f)\/(f*f*f*f**(-6)\/f)) assuming f is positive.\nAnswer: f**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*b**2 + 4*b + 165 with respect to b.\nAnswer: 58*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/9, 24897 in increasing order.\nAnswer: -3, 4\/9, 24897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.5 (c) -613\/5 (d) 2\/9 (e) -186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5 + 39*b**4 - 2*b**3 - 78*b**2 + b + 39 = 0.\nAnswer: -39, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(224) + sqrt(224))\/sqrt(8))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2242\/357 - 2331466\/373065. What is the common denominator of d and 39\/1045?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (14 - (-9 + 33))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1165\/8 - 147. What is the common denominator of (-726)\/80*(-2)\/(-3) and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 6*v - 5. Let d be q(6). Let c = -2 - d. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28141\/110 + 202\/55. Let h = -274 + r. What is the common denominator of 1*-2 - 60\/(-22) and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/120 - 14*f**5\/15 + 175*f**4\/24 - 59*f**3\/3 + 502*f**2 - 2*f - 4. Let z(n) = 0. Calculate n.\nAnswer: -59, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*-2)\/(3\/((-63)\/(-14))). Is 2*(-21)\/14*662\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 6*h - 6. Give z(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4499 - -4504. What is the smallest value in -2, 0.1, -1, 0.4, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03803 > -589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17.1288751406 and 31?\nAnswer: 13.8711248594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2724 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 2 = -3*b. Suppose 3*y - 1480 = b*k, 1480 = -3*k - 2*k - 2*y. Let c be (-12)\/(-30) + k\/(-10). What is the highest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4440 and 86160?\nAnswer: 3187920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-6) + 25 + (-114)\/6. Put 3\/14, -2\/5, 2, b in descending order.\nAnswer: 2, b, 3\/14, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/9*(-3 - 0). Let m = 11095 + 8601. Suppose 5*u = 20, a*l - 2884 + m = 3*u. What is l rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1 + 90\/5. Let u(r) = -r**3 - 6*r**2 + 2*r - 10. Let p be u(-8). What is the highest common factor of c and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 18. Let p be (-10)\/(12\/(-8) - -1). Suppose 3*c = -4*z - 3 + 19, -3*c - 5*z = -p. List the prime factors of l(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11444949*a. Let w(i) = -i + 3. Give w(d(c)).\nAnswer: -11444949*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 9*d**5\/10 - 47*d**4\/10 - 562*d**3\/5 - 1494*d**2\/5 + 72*d = 0?\nAnswer: -6, -4, 0, 2\/9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.409 * -267.\nAnswer: -109.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by (33 + -21)\/((-11)\/((-198)\/8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (14 + (11 + 9 - 8))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48.42 and -1120.\nAnswer: -1168.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Let f = y - 2. Let k = 0 + 0. Which is the closest to f? (a) k (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.84*149053.\nAnswer: 125204.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 + -3223?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z - 3. Solve -z*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162.362 + -162. Let q = 0.47 - c. Round q to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 2\/13 (b) -0.02 (c) 6 (d) -274 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 2*y + 5. Let g be k(3). Let z be 44\/3*(-1 + -5). Let q = z + 615\/7. Put g, q, -3 in descending order.\nAnswer: g, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 7:13 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 156310.6 milliseconds?\nAnswer: 156310600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -1757, -3938, -6991, -10916, -15713?\nAnswer: -21382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11020410 (base 6) to base 15\nAnswer: -678a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 18, j: 2}. Give prob of picking 1 j and 3 g.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -663691231 divided by -2312513\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2503 - 1941. List the prime factors of r.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidiilaadddydni. Give prob of picking 2 a and 1 l.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27864 = -220*w + 228*w. Calculate the highest common divisor of 81 and w.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94056382 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/11, 1\/19, 1, -0.2, 5643?\nAnswer: 5643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/154186173?\nAnswer: -2\/154186173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.278 and 12.\nAnswer: 12.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 521622.8 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 10*p**2 - 7*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -20. Let p = n - -23. Let c(r) = -r**3 + 17*r**2 - 14*r - 26. Let t be c(p). Solve -3*q = -t - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 326957\/4554 + -9\/506. Put 4, 1, f in descending order.\nAnswer: f, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 26, 35, 60, 107, 182?\n\"Answer: y**3 - y**2 - 5*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663846630 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 105 + 17 = 0. Let b = 59 - m. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-2 - (4 + -16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**7\/490 + m**6\/280 - m**5\/140 - m**4\/56 - 6*m**2. Let x(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*n**2 + 2 + (3*n - 3*n - 2*n)*(n + 3 - 3) - 2*n**2 + 7*n**2 - 4*n**2)*(6 - 2 - 2).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {o: 1, y: 1, p: 3, m: 1, u: 3, x: 2}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = 6. Let y be ((-44)\/6)\/(2\/g). Let t = y + -8. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22 - -24)*(-6 + (-1)\/(235\/(-1405))). Let d be (2\/4)\/(2\/(-4)). Let h be (1 - d) + -2 + -1. Are p and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8265 and 5945?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10399, -10860, -11321, -11782, -12243, -12704?\n\"Answer: -461*v - 9938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -3904\/3 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 493.227 * 32\nAnswer: 15783.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7434 is divided by 2471.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/5265144 and -167\/6581430.\nAnswer: 26325720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -10.4. Which is the closest to 0.2? (a) -1\/6 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065582141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let h be (0 - 1\/2)\/(p\/10). Let o(g) = -4*g + 6. Calculate the remainder when 50 is divided by o(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 9)*(58 - 0). Suppose g - 3 = 5*x. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2768, 2770, 2772?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -7*h - 2265. List the prime factors of h.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/((sqrt(80) + sqrt(20))\/sqrt(2)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -49, -2, 34 in descending order.\nAnswer: 34, 3, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30890616208*r**2 + 30890616214*r**2 - 4 + 4.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3873395 is divided by 181.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -22, -56, -104?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3143 + 124*u**3 + 22*u**4 + 3139 + u - 6282 - 43*u**3 as j + h*u**3 + k*u**2 + w*u + s*u**4 and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 - ((11 - 6) + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 30*u**2 + 3*u - 26. List the prime factors of t(4).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2697393 by -2.\nAnswer: 2697393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 58144354?\nAnswer: 58144350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124917 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**5\/10 - 17*h**4\/12 - 2*h**3\/3 + 7*h**2 + h + 91. Let l = 7 - -3. What is the units digit of a(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/23 and 127\/11730?\nAnswer: 11730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from akkyaaykayak.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499014.\nAnswer: 2, 11, 61, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-56))\/((-8817)\/226303)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 1316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2034 by 6.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3 - 15. Let u = p + -4. Suppose 4 = 2*a, -a = 2*x - 2*a - u. Solve 3*d = 12, 4*r - x*d = -r - 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -0.1, -1 in decreasing order.\nAnswer: -0.1, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4470011304?\nAnswer: 2, 3, 11, 103, 164387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*p + 4 + 102*p - 2*p**2 - 1)*(0 + 0 - 2*p**2).\nAnswer: 4*p**4 - 6*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*h + 200*h + 84 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + p**2 - p. Let a(g) = -4*g**3 - 29*g**2 + 7*g + 53. Let u(q) = -a(q) - 3*y(q). Is 3 a factor of u(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-3) - 1)*-3. Let w = u - 2. Suppose -4*i = -46*j + 45*j - 6, 0 = i - j. Solve -g + i*g = -w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) + (-7)\/(-5). Let z(b) = 20*b**3 - b**2. What is the remainder when 37 is divided by z(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((11660\/24)\/55)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7197*i**2 - 574449*i + 574449*i + (4 - 4 - 1)*(-i**2 + 5*i**2 - 2*i**2) to the form m*i**2 + s*i + y and give m.\nAnswer: 7195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 1 - 2*a - 1148*a**2 + 1150*a**2 + 3*a. Suppose -f - 4 - 6 = 3*t, f - 10 = 2*t. Let q be 4 + -4 + -2 - 2\/f. Determine g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2968*n - 1356*n = -2301*n + 449995 for n.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-219)\/6 + 788047\/18652\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14845705*b**3 + 6*b**2 - 3673*b + 45 wrt b.\nAnswer: 89074230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(16)\/sqrt(2)))\/(sqrt(2) - 2*sqrt(2)*2) + 5 + 0 + sqrt(200) + -6*sqrt(200)*1.\nAnswer: -151*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037517369 rounded to five dps?\nAnswer: -0.00375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -301 + 301.2. Let t = -4.11 + 0.11. Which is the third biggest value? (a) t (b) p (c) 0 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58690272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 46172739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-85 - 25 + 61)*(-2 - 2 + 3)*(4*m + 12*m + 16*m - 8*m) in the form c*m + g and give c.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.99999886 + -89. What is t rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 90*l**2 - l + 599. Calculate g(-90).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(-24)\/(-20) - -24239?\nAnswer: 11, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**5\/15 - u**4\/12 + u**2 + 4. Let h(m) be the second derivative of c(m). Find the second derivative of h(l) wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 34, 66, 98, 130, 162?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(102) - sqrt(102)*2*1 - -4*(sqrt(102) - sqrt(102)*1)))\/((2*sqrt(960))\/(-2*sqrt(10)*1 - sqrt(10)))*1)**2.\nAnswer: 153\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -909 + 865 = -2*w - 2*w. Let p(h) = -7*h**3 + 7*h**2 - 11*h - 11. Let t(a) = -4*a**3 + 3*a**2 - 6*a - 6. Give w*t(v) - 6*p(v).\nAnswer: -2*v**3 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 37 - 7 = -4*j, -82 = -5*j - 4*u. Suppose 0 = -k + 1 + j. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -21\/1730?\nAnswer: -21\/1730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 10*x + 1)*(12 - 4 + 6) + 8*x - 11*x - 4*x as w*x + j and give w.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -0.0428.\nAnswer: -11.0428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-five halves of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1701626 + -1352?\nAnswer: -1703200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**4 + 6745*m**3 + 512555*m**2 + 9214295*m - 9733590 = 0. What is m?\nAnswer: -37, 1, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4307, -8220, -11733, -14846?\n\"Answer: 200*d**2 - 4513*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.322 - 0.778. Sort j, -6, -0.4.\nAnswer: -6, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-11)\/(-16)) + (-138)\/(-253). Let q be (24\/120)\/(p\/(-4)). Let r = -4 - -1. What is the nearest to r in 0.4, q, 6\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3 + u - 4*u**2 + 0*u**2 + 12*u**2 - 7. Let a be -5 - 2*(-3 + 2). Is q(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4 + 4)*(5*h**4 + 0*h**4 - 3*h**4 + (22*h**3 - 13*h**3 - 12*h**3)*(3*h - 4*h - h)).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-24)\/((-3)\/(-1)). Let l(g) = -g**2 + 8*g - 9. Let j be l(t). Let d be (j\/(-2))\/((-27)\/36). What is the biggest value in -0.1, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/(32*(-16)\/2048).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6206361 and -43\/189.\nAnswer: 55857249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4)*10\/125. Which is the nearest to -2\/3? (a) 3 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 5)\/(2\/(-6)). List the prime factors of (-1)\/(y - (-146)\/(-48)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 5. Suppose 323 = h*a + q, -2*q = q + 6. What is the greatest common divisor of 26 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3034000 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*n - 4277 + 1209, -154*n = -153*n. What is the greatest common factor of 826 and u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2179*i**2*q**3 + 353*i**2 - 4*i*q**3 - 13861*i + 2*q**3 - 2*q**2 + q wrt i.\nAnswer: 4358*q**3 + 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + (-13)\/(-4). Suppose -o + 3*d - 9 = 0, 0 = 4*o - 2*d + 4*d - 34. Find t, given that 4*t**3 - t**3 - 2 + o*t**2 + z*t + 2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 14823\/(-18))*-230 - 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 6*y + 6. Let m be k(2). Let g be m\/55 + 24\/(-253). Is g equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3485145828738 - 5\nAnswer: 3485145828733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + 2*v - 4*v in the form c*v + f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 1 d when three letters picked without replacement from {q: 1, k: 2, d: 1, t: 2, e: 1, h: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -80. Suppose 4*b - 8*b = -5*a + 31, -2*a = q*b - 18. Let u(l) = 4*l**2 - 10*l - 14. What is the hundreds digit of u(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.92 + -17. Let s = d - 0.92. Let f = 277\/6 - 46. Which is bigger: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:58 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 18*x + 61 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135593244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5032091 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -72. Let -5*u**3 + 9*u**2 - 56*u - j*u**2 + 36*u = 0. Calculate u.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c0e (base 15) in base 4?\nAnswer: -10302011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87026, -86656, -86286, -85916, -85546?\n\"Answer: 370*c - 87396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 58. Let m(l) = -5*l**2 + 477 + 3*l - 241 - l**3 - 235. Determine m(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -986 - 14*n + 986 in the form d + c*n and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-214 + 0 - -4. Let p be (-2)\/7 + q\/(-49). Suppose -5*g + 8*u = 3*u - 160, 0 = -4*g - p*u + 144. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 15 = -3*a. Let j(y) = y**3 + 5*y**2 - 2. Calculate j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4990, -20777, -47100, -83971, -131402, -189405, -257992?\nAnswer: -337175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 5, 1\/4, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1566811 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -12, -38, -84, -156, -260, -402, -588?\n\"Answer: -d**3 - d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irc when three letters picked without replacement from ciffififiifriiiiffji.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -595, -610, -641, -694, -775?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*h + 242 = 0, 6*h + 245 = 2*p + h. Suppose -11*l - 38 = -p. Solve 4 = -4*w + k + l, 2*w + 2*k + 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(51\/(-20)) - (-2)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25472500 divided by 230?\nAnswer: 110750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z - 2575*b + 2578*b + 271413, 4*z - 180936 = -4*b. What are the prime factors of z?\nAnswer: 5, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuk when three letters picked without replacement from {m: 1, v: 1, k: 2, b: 2, u: 5, e: 6}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a**2 - 5*a - 3. Let f(n) = n**3 - 2*n**2 - 9*n - 6. Let s(d) = 3*f(d) - 5*h(d). Is s(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1972340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 411695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 + 2 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a**2 + 7*a + 15. Let m(w) = 5*w**2 + 3*w + 7. Calculate 9*m(z) - 4*o(z).\nAnswer: z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 532 - 2723\/5. Suppose 2*a = -0 - 4. What is the common denominator of 151\/(-5) - a\/10 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 938.7469 nanometers?\nAnswer: 0.9387469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670676 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1213*d**2 + 1103*d**2 + 88*d**2. Let w(h) = 2*h. What is n(w(y))?\nAnswer: 9616*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4506872 is divided by 1502286.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1440 + c448?\nAnswer: d888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 126*u**3 - 28*u**2 - 28*u. Let h(q) = 23*q**3 - 5*q**2 - 5*q. What is -5*a(f) + 28*h(f)?\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from dkkbbbbbkdbkbkdckbb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 73*h**6\/120 + h**5\/15 - h**4\/3 + 111*h**2. What is the third derivative of u(t) wrt t?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 15*q + 81\/2.\nAnswer: (q + 3)*(q + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.17 - 0.12. Let d = 1.87 + r. Let a = 1.6 - d. Round a to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p**2 - 15*p**2 - 1 + 1. Let u(k) be the second derivative of -k**3\/2 + 2*k. Determine t(u(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 16) + 5 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - -4)*(-2)\/(-6). Suppose p*u = 3, u - 16 = -4*n - 3. Solve 0 = -l - 2*s + 2, 4*l = -n*s + 14 - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/3 + 767*q**2\/3 - 15620*q\/3 - 34316\/3 = 0.\nAnswer: -2, 23, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 32 = 3*s, -6*z + z - 4*s + 36 = 0. Suppose 25 = 7*y + z. Is -18 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -115667.\nAnswer: 4\/115667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -93. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let v(x) = -x**2 + 18109*x. What is v(y(d))?\nAnswer: -4*d**2 - 36218*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w + 3*y + 1454, 0 = 3*w - 4*y + 4310. Let n = -573 - w. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 256*l**2 - 509*l + 1813. Determine a(-258).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvssskssk. Give prob of sequence kksv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 753002666?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8099 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:22 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 883956 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 18*z**2 - 44*z + 3. Suppose -387*a + 389*a = 12, -3*l + 9 = -4*a. Determine y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 16. Let m(u) = 5*u**2 - 3*u - 2. Let v be m(-1). Solve -v = -t*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + 2*y**2 + 4*y**2 + (110*y + 153*y + 101*y)*(y - 2*y + 0*y) - 13*y**2 - 15 + 15 in the form s*y + b + j*y**2 and give j.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/12)\/(10\/(-730)) and 93\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570212501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538 < 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1573.65961 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8400 = -7*c + 736 + 7293. What is the remainder when c is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*w = 8849 - 12623 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 14*z**2 + 6*z + 89. Let r be b(-14). Let n(g) = -19*g**3 - 4*g - 5. Let y(u) = -20*u**3 - 5*u - 6. What is r*y(c) - 6*n(c)?\nAnswer: 14*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41764629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 152*j + 152. Let l be b(1). Suppose 12 = -3*f + q, 5*q = 4*f + q + 24. Sort -4, f, l in decreasing order.\nAnswer: l, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - (4 + -9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 + -100?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 717830 and 9363?\nAnswer: 2153490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152143 (base 7) to base 4.\nAnswer: -13032022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, y: 6, w: 3, g: 2}. Give prob of sequence ww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657 + k + 2*k + 4*k - 657.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -113545 (base 8) to base 16\nAnswer: -9765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - c. Let f be l(-3). Let s be (f\/(-3) - 4) + 3. Let q = 67 + -64. Sort -1, s, q.\nAnswer: -1, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 261 - 265 = 0. Suppose s - 244 = -3*f + 6*s, x*f + 5*s = 121. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 6*f**2 + 6*f - 2. Let y(x) = x**3 - 5*x**2 - 5*x + 2. Give 3*h(i) + 4*y(i).\nAnswer: -2*i**3 - 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 5:38 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = z - 35, z + 3*p = -0*z - 5. List the prime factors of (-28)\/(-6)*15\/z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-1)*-1)\/(-33 - -36). What is the greatest common divisor of p and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*1655\/(-662)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 32 + 30. Let u be (2\/6)\/(5\/1005). Let p = u - r. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15. Let y(h) = h + 15. Let w(r) = 6*x(r) - 5*y(r). Let z = 35 + -32. Let l be w(z). Which is the nearest to -1? (a) l (b) -0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567266 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*f = -104 + 678 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 56*a + 4008. Determine m(-41).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8552 and 3146067.\nAnswer: 25168536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-12) - 5\/(-6). Let c = -11 + 14. Calculate the highest common divisor of w and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4 = 0, -5*k - f - 9 + 0 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 148425 divided by -5\nAnswer: -29685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -367774292*b**2 + 1343633626.\nAnswer: -735548584*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125975972.\nAnswer: 2, 37, 359, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729\/4*q - 3\/4*q**2 + 735\/2.\nAnswer: -3*(q - 2)*(q + 245)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1480)\/(-74)*4\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 3*u. Let b(t) = t**2 - 6*t. Let p(m) = -6*b(m) - 10*g(m). What is the second derivative of p(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*t - 16 = 0, -2*j + 2*t + 47 = 13. Suppose -j = -3*q + 3*c + 6, -6 = -2*c. Calculate the highest common divisor of 121 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1187, -10152, -34303, -81176, -158307, -273232?\nAnswer: -433487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - u = 198 + 140, -4*u = 8. Is 28 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**5 + 0 + 0 + (r**4 - r**4 - r**4)*(-r - 2*r + r) + 3*r**4 - 3*r**4 + r**5.\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 6242. Let t(c) = -c. Give t(i(j)).\nAnswer: 2*j**2 + 6242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310 and 46?\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 1, f: 3, j: 3, s: 3, t: 1}. Give prob of picking 1 t, 1 e, and 1 f.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:47 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111100000011001100 (base 2) in base 15?\nAnswer: -3143cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 55. Let x be ((-15)\/(-8))\/((-30)\/c). Factor 1\/2 - 1\/2*z**2 - x*z**3 + 5\/4*z.\nAnswer: -(z - 1)*(z + 1)*(5*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 8587?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.067 rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 2 = -17*v + 14, 6*v - 83 = -2*w + v for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 14645.\nAnswer: 14636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 3*j**2 + 3*j**2 + (-j - 4*j + 3*j)*(-4*j + 2*j + 0*j) - 4*j**2 + 6*j**2 - 4*j**2 + 0*j**2 + 0*j**2 + j**2 - 79*j**2 + 273*j**2 + 279*j**2.\nAnswer: 474*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + -11?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/194355 and 95\/1010646.\nAnswer: 5053230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663376 is divided by 57?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Suppose 0 = m*h + 4*r - 13, 5*r - r = 3*h + 5. Let y(p) = 236*p**2 - p. Is y(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f - 8. Give q(-8).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 0)*(3 - 18 + 0)*(-1 - 2*p**4 + 1) + 22*p**3 - 35*p**3 + 18*p**3 - p**4 + 2*p.\nAnswer: -121*p**4 + 5*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**5\/7 - 10048*z**4\/7 - 120184*z**3\/7 - 460240*z**2\/7 - 600100*z\/7 - 250000\/7 = 0. What is z?\nAnswer: -2500, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in 1\/2, 1.137, -60?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8783.98cm to meters.\nAnswer: 87.8398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 4*d**2 - 3*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 2. Let m(v) = -3*v - 1. Let g(p) = 5*l(p) - 4*m(p). Let s = 21 + -35. What is the hundreds digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -70, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g - 4. Let j be t(3). Suppose 0 = -2*m - 2*f - 2, 2*f = m - j*m - 4. Is (1353\/12)\/(m\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.412? (a) 7 (b) -0.2 (c) 4\/3 (d) -0.1 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 2*f - 30. Calculate l(13).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -553601.7 rounded to the nearest 10000?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 590 - 1769\/3. Let h = 11 - 11. Factor -1\/9*n**2 + h - x*n.\nAnswer: -n*(n + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-209)\/(-3) + 2\/6. Let m be (1*(-244)\/2)\/(-2). Let h = 89 - m. What is the greatest common divisor of h and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4128\/7 - 593. Find the common denominator of (60\/(-8))\/(33\/(-4)) and u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.12282m to kilometers.\nAnswer: 0.07412282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skk when three letters picked without replacement from kskkkisjsk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 + 2*l**2 - 4*l + 157. Does 17 divide n(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1719*401\nAnswer: 68.9319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 - -0.058.\nAnswer: 219.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 6*p + 3*p**2 - 3*p + 7 + 3*p. Give s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97 and 67523.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129285556 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 7*g - 260. Give r(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192075671*l + 192075776*l - 6510 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqpqqppppc. Give prob of sequence qcu.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-90) + ((-33)\/(-5) - 0). Let a = 1 - -1. Suppose 3*u + 6 = 0, 5*u - 18 - a = -5*r. Solve 2*q - 12 = 2*h, -r*h - 3*q = -4*h + s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117823 is divided by 5353.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2674.622*-24.\nAnswer: -64190.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122 plus 127.9059?\nAnswer: 128.0279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 62. What is the tens digit of -2*h\/20 + 1812\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0519 - 0.0219. Which is the nearest to 0.9? (a) -0.3 (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -387, 0, 3, 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/12 + r**3\/3 - 13*r**2\/2 - 4*r. Let n be s(0). Let o = 15 + n. Solve 4*z = -6 - o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -2*t + 182. Is 21 + (340\/(-70) - 2\/t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*z - 174903, 3*z - 381075 = -6*y - 118728. Is y a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 k when four letters picked without replacement from {k: 4, b: 2, n: 8, u: 5}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(342)\/sqrt(2) + ((sqrt(152)*3)\/sqrt(8))**2.\nAnswer: 3*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o. Let v(c) = 22*c**2 - 13*c. Let a(l) = 5*r(l) - v(l). What is the second derivative of a(z) wrt z?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -50706*i**2 - i. Let m be z(1). Let p(y) = 2246*y**3 - 7*y**2 - y + 7. Let b be p(-7). Let x = b - m. Round x to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 13 + 5 = -4*v, -5*p + v = -10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/32*(-212)\/583?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)*(3 - 1). Find the third derivative of 3*r**p - 2*r**5 - 2 + 2 + 6*r**5 wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7654.43 + -0.27547734\nAnswer: 7654.15452266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190221655*y**2 - 240637532.\nAnswer: -380443310*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42595 - 42591. What is the closest to a in 2\/5, -2\/21, -1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28801069277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6830249 times 5?\nAnswer: 34151245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 17*i + 24. Suppose 8*k = -i*k + 22918. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4853 to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*f - 22, h + 18 = 4*f + 1. Let y(q) = -q - 3. Determine y(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601 - 594 - 611 + 8*f + 2432 - 599.\nAnswer: 8*f + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1302*q - 371*q + 479*q)*(16*q - 2*q**2 - 16*q) to the form b*q**2 + u*q**3 + a*q + d and give u.\nAnswer: -2820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 31.00000088. What is c rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x - 15*x + 2 + 535*x**3 - 2 + 48*x.\nAnswer: 535*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*p + 306 = 25*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213*q**4 + 131*q - 33*q - 41*q wrt q?\nAnswer: 2556*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12812 and 0.5?\nAnswer: 6406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.8 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7812 is divided by 1553.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 4*m + 14, 4*n + 23 = 5*m. Let w be n\/(-9) - 56\/9. What are the prime factors of (-40)\/(-3) - w\/9?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 61*w**2 - 152*w - 1516. Is y(-59) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l - 51*l - 1 = 0, -3*v = 3*l - 4113. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/(-308) - 58\/(-56)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(0*f + 3*f - f)*(-6 + 6 - 2*f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*u + n**2 - n*u**4 + 2*u wrt u.\nAnswer: -n**2 - 4*n*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 95, 163, 207, 215, 175, 75?\n\"Answer: -2*k**3 + 82*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 3. Let y(i) = -270*i + 520. Calculate y(u(z)).\nAnswer: 270*z + 1330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - (65 + -135) - -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*7\/(-21)*(-54)\/(30\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*i + 0*i - 670 = 0, -4*y + 2*i - 1340 = 0. Let m = y + 313. Which is smaller: m or -20?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00181184165 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9356 and 109933.\nAnswer: 439732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkzzzzkigzgzjjgzbg. Give prob of sequence zjkb.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 13 + 2*x + 3. Let j be h(-9). Suppose 1 = -3*m + j. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - 3*z**3 + 3*z**3 + (-2*z**2 + 2*z - 2*z)*(0*z + z - 2*z) + 4*z**3 + 3*z**3 - z**3)*(4 - 4 - z**2).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*z**2 + 0 + 6*z - 3 + 3 + 4.\nAnswer: -82*z**2 + 6*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Suppose g = -4*k - k. Solve 5*m - 29 = 3*s - 2*s, k = -2*s - 5*m + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12747*o - 6369*o - 6372*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 p when three letters picked without replacement from {h: 3, x: 1, g: 1, p: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (224\/21)\/(-8)*3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*w + 178*w = 25. What is the third smallest value in w, -1\/11, -1.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227*s**3 - 29*s**2 - 4*s - 3746 wrt s?\nAnswer: -1362*s - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -107. Let a(d) = 22*d + 24. What is the remainder when 61 is divided by a(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3174*i**2*t**3 - 87*i**2*t**2 + 5*i**2*t + 3*i**2 - 8*i*t - t**3 - 3*t + 92 wrt t?\nAnswer: -19044*i**2*t - 174*i**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1000110 (base 2) to base 11\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 719118192564.999998418 - 719118194239. Let i = -1674 - c. What is i rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*o + 4*o. Suppose o*c + 3 = 3*s - 18, 5*s - c = 42. Calculate the remainder when 24 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 8*u**2 - 9*u + 3. Let r be x(6). Find the third derivative of r*b + 4*b**3 + b**3 + 5*b**2 - 21*b wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:49 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((15 - 23) + -7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 6*j**2 + 4*j - 5. Let g be h(-5). Let i be (-5)\/(-30)*6*g. Which is bigger: 2\/49 or i?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 11*w + 596. Let l(i) = 2*i**3 + 19*i - 1191. Give -7*h(q) - 4*l(q).\nAnswer: -q**3 + q + 592","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/7)\/(26\/(-364)). Solve -y*i = -3*l + 17, 3*l = -3*i + 2*l - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8735 rounded to 2 decimal places?\nAnswer: 5.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1. Let g(n) = 32*n**3 - 17*n. Let r(k) = g(k) + 3*t(k). What is the second derivative of r(l) wrt l?\nAnswer: 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022956 to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328 and 72218138.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 + 52 = 67*n. Suppose -36 + 12 = -2*j + 5*f, 3*j - 74 = -2*f. What is the greatest common factor of n and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110120 (base 3) to base 13\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8099575*v - 2*v**4 + 2*v**3 - 68 + 8099579*v - 24 in the form f*v**2 + g + j*v + x*v**3 + y*v**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960 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: Convert 186 (base 15) to base 12.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdxdxxaxxxxxdxx. What is prob of sequence ad?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 377523788 divided by 2?\nAnswer: 188761894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -22, 0.007016, 1?\nAnswer: 0.007016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmjgmmdmddppdp. What is prob of sequence jgp?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -54*y - 1\/10*y**5 - y**2 - 1\/6*y**4 + 0 - 1\/6*y**3. Let p = 0 - 2. What is s(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1861*i**2 - 3729*i**2 + 405*i**3 + 1868*i**2.\nAnswer: 405*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*q = -27, -q + 19 = -3*n - 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-9 + 3 + 17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43240?\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.54*1376695\nAnswer: 743415.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + ((-154)\/33 - (-1 - 9)). Let p = -397\/3 - -135. Factor -s - p*c**2 + 10\/3*c + 2\/3*c**3.\nAnswer: 2*(c - 2)*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 1, v: 1, h: 2, s: 2}. What is prob of sequence sgos?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 175053, 700597, 1576505, 2802777, 4379413, 6306413?\n\"Answer: 175182*y**2 - 2*y - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6089 divided by 42327?\nAnswer: -6089\/42327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -21.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/3)\/s)\/(s\/(s\/(s*(s\/(s*((s**(1\/11)*s)\/s)\/s))\/s*s))))\/(s\/(s\/(s*s**(2\/7)))*s**8) assuming s is positive.\nAnswer: s**(-3125\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + (-99)\/(-45))\/((-1)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126446076 + -3?\nAnswer: -126446101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3004220 is divided by 2041?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 4:59 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 + v**2 - 8*v + 7. Let n be s(2). Let y = 246 + n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + p**3 - 3*p**3 + 5*p**3 - p**3 - 3*p**3 + 0*p**3 + 2*p**3 - 3*p**3 + (-4 + p + 4)*(-2*p - 2*p**2 + 2*p) + 620*p**2 - 620*p**2 - 2 + 26*p**3.\nAnswer: 23*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16263)\/834*3\/(-39).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.3, 3, 7672?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -707, -710, -715, -722, -731, -742, -755?\n\"Answer: -s**2 - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 5\/6*r**4 + 0 + 11*r - 3\/10*r**6 + 0*r**3 + 0*r**2 + 0*r**5. Find the third derivative of p(t) wrt t.\nAnswer: -216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 512376.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -3649 (b) 32\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 12*y - 7*y + i, -5*i = -3*y + 45. Let w(o) = o**3 - 20*o**2 + 10*o + 18. List the prime factors of w(y).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 24*j - 102. Let i be z(-5). Which is greater: i or -37?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnj when three letters picked without replacement from nnjn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -34 (c) 2 (d) 5\/6 (e) 3298 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -239.\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 - 852 - 2085 = -128*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*p = -7*p + 7, 10 = 4*g - 2*p. Let r = -72 - -93. Calculate the remainder when r is divided by 11\/g*(4 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422573266.\nAnswer: 2, 3, 403762211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.218+-752.9\nAnswer: -752.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*h**2 - 1770*d*h - 2*d - 6021*h**2 with respect to d.\nAnswer: -h**2 - 1770*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9)*3)\/((-1)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 + 85692774*b\/5 - 611937626317923\/5.\nAnswer: -3*(b - 14282129)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*12\/(-3). Suppose 3*t = -i*t + 20. Suppose -5*q + g = 2*g - 45, -12 = -4*q + t*g. Calculate the greatest common factor of q and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + 3*sqrt(70))*-1)\/(sqrt(15)\/sqrt(3)*-6))\/((-2*sqrt(42)\/sqrt(2))\/(sqrt(72)\/sqrt(6))).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/13))**(-5\/3) assuming n is positive.\nAnswer: n**(10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5320605 and 15695.\nAnswer: 5320605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3141 + 406. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*c - 41 = 0, 4*y = -3*c - 107 - 103. Let v = 470 - y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2. Let v(k) be the first derivative of -k**6\/360 - 2*k**3\/3 + 18*k + 30. Let o(z) be the third derivative of v(z). What is o(c(y))?\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgghfghfhf. Give prob of sequence hhf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39148583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q + 2*y + 331, -q = 3*y - 73. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 114*j**2 - 163*j + 6831. Let b be c(-112). Let p(x) = -2*x. Let g be p(-2). Sort 33, g, b, -5 in increasing order.\nAnswer: -5, b, g, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let u(h) = 139*h + 34. Calculate c(u(k)).\nAnswer: -38642*k**2 - 18904*k - 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**6 - j**5 + 1958*j**4 + 82871*j**2 + 2 wrt j.\nAnswer: 480*j**3 - 60*j**2 + 46992*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 5. Let n be j(0). Let s = 3 - 6. Let o(i) = 4*i - 4. Let a(g) = -11*g + 11. Let v(k) = s*a(k) - 8*o(k). Calculate v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {r: 2, x: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*m + 2*u + 23, -u = m - 1. Let r = -0.1 - -0.2. Which is the biggest value? (a) m (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115204848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14560 by 224.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o - 1)*(4*o + 4*o + 12*o) - 2*o**2 + 3*o - 3*o + o**2 + 0 + 0 + (-2*o + 4*o - 3*o)*(o - 1 + 1) + 2*o**2 - 5*o**2 + o**2 + 7*o + 13*o**2 - 7*o.\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10 + 1 + 2*i + 4 - 3*i. Let c be v(12). Suppose 0 = 2*o - 3 - c. Sort 2\/13, o, 0 in ascending order.\nAnswer: 0, 2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 1036284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2. Let q(w) be the third derivative of w**4\/8 - 4*w**2. Calculate q(t(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - -3 - 4) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*x - 2*o + 19, -13151*o = x - 6*x - 13154*o + 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, w: 1, u: 13, s: 1}. What is prob of sequence squ?\nAnswer: 13\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = 2. Suppose -437*x + 9 = -436*x. What is the lowest common multiple of x and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 56 + 80*f)*(-3 + 5 - 3)*(0 + 4*f + 0 - 13*f + 10*f + 6*f + (1 - f - 1)*(0 + 1 - 2)).\nAnswer: -640*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -76691.4788 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239142.\nAnswer: 2, 3, 39857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.76, -30, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 9*s - 13*s. Let f(n) = n**3 - 5*n**2 + 10. Let v be f(s). Let y be (v\/35)\/((-3)\/(-21)). Which is smaller: y or 16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 2\/11, -3\/8, 44, -2, 6, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 34 = 52. Let n(p) = 3*p**3 + 6*p**2 - 23*p + 17. Let k be n(1). Suppose 5*w - k*z = -316, -3*w - f = -4*z + 108. Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1024, -878, -634, -292, 148, 686?\n\"Answer: 49*s**2 - s - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 4*g + 15. Let f be v(-5). Let l = f - -79. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 438829631 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(75)*-3 + ((-1 + sqrt(75))*1 - (sqrt(75) - (sqrt(75)*-1 - sqrt(75) - sqrt(75)) - sqrt(75))*-5))**2 + -4.\nAnswer: 390*sqrt(3) + 12680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*s + 1 + 17, 3*p = 3*s + 45. Let z = 22 - 17. Suppose -262 = -z*w + 2*n, -146 = -6*w + 3*w + 4*n. What is the remainder when w is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193571 + 0.2.\nAnswer: -193570.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 - 1.4. What is the closest to -1\/4 in -4, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1042 - 82 = 40*c. Calculate the remainder when 66 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6442 + 0.3.\nAnswer: -6441.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59.66 - -48.7. Let a = s - -11.729. Let g = a + -0.029. Round g to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + o**2 + 5)*(-466 + 142*o + 466).\nAnswer: 142*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 + 3*x**2 + 8*x**3 + 37 - 34. Let y = 101 + -103. Let k(h) = h**3 + h**2 + 1. Calculate y*i(a) + 6*k(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 27 - 29 - 13 - 22 - 1038*v as f*v + g and give f.\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 377487\/4280 - 39\/535. Let s = -88 + g. Let x = 0.55 + -0.25. What is the smallest value in s, x, -2\/13, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/31941 and 106\/301455?\nAnswer: 50945895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 1, x: 3, r: 1, b: 5}. What is prob of picking 2 b?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*y - 9*y. Let m = -9 - y. Suppose -m*s + 7*s = 1317. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11 = 4*u, 0 = 2*u + 4*b + 2 - 4. Suppose u*f = 41 + 16. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 685768, 1371510, 2057254, 2743000, 3428748?\nAnswer: 4114498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 0.94 (c) 0.07 (d) -5\/4 (e) 3\/4 (f) -31.48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.261 - -0.22. Let k = 0.04100019 + a. What is k rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 17. Let z(a) = 30*a - 234. Let j be z(v). What is the highest common divisor of j and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*x = -358, -43*v + 41*v = 4*x - 124. Suppose -5*g = -7*g + 28. What is the greatest common divisor of g and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 - 14*o**2 + 29*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3597, -2342, -1085, 174, 1435, 2698?\n\"Answer: b**2 + 1252*b - 4850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.029 + -0.119. Round a to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 + -295\/3. Let w = -2 + 1.8. Let n = w - 0.3. What is the nearest to -1 in n, m, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a meter in centimeters?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -99*j**5\/5 - 78*j**3 - 101. What is the third derivative of x(t) wrt t?\nAnswer: -2376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4604620 rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20263542 to the nearest integer?\nAnswer: 4502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5 - 0. Suppose 5*d + 4*n - 10 = 0, -5*d + 9 = -4*n + 39. Sort d, h, -5 in ascending order.\nAnswer: -5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 17 = q, i + 0 - 13 = -2*q. Let w(y) = -1 + 1 + 0 - 2*y**3 - i. Let b(v) = v - 3. Let t be b(-3). Let f(l) = l**3 + 2. Calculate t*f(s) - 4*w(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 802969081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*o = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -213*d**3 - 823. Let f(q) be the third derivative of q**5\/60 - 55*q**2. What is u(f(v))?\nAnswer: -639*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2787, -10858, -24309, -43140, -67351?\nAnswer: -96942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.82758 millennia in centuries?\nAnswer: 958.2758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827986659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/4726609 and 91\/8718.\nAnswer: 28359654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 221*h - 13022. Determine c(39).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(sqrt(11) - sqrt(22)\/sqrt(2) - sqrt(11)) - (4 + sqrt(11) + -1 - (-1*(2 + sqrt(11) - sqrt(11)))**2).\nAnswer: 1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 399*m**3 + 9*m**2 - 5*m + 5. Let u(y) = 597*y**3 + 13*y**2 - 7*y + 7. Determine 5*u(r) - 7*z(r).\nAnswer: 192*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -c3?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*o + 42 - 50, 2*o = -4*t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/299 + 359\/17940. Let h(m) be the third derivative of 1\/72*m**4 + 2*m**2 + 0 + 0*m**3 + 1\/120*m**6 + 0*m - 1\/630*m**7 - w*m**5. Factor h(l).\nAnswer: -l*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 24 = 2*l. Let i(g) = -8*g + 4. Let f(j) = -7*j + 3. Let z(w) = l*i(w) + 7*f(w). Give z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u + 6. Let w(q) = -q**2 - q - 7. Suppose 2*g = 96 + 322. Let s = g - 206. Determine s*w(r) + 4*a(r).\nAnswer: r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-6)*(-2 + -2). Let u = -264294 - -264297. Sort u, 6, v.\nAnswer: v, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + 22*p**2 + 108*p + 473. Calculate w(-10).\nAnswer: -1407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 435, 498, 563, 630?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-176)\/(-264))\/(4\/30). Solve b*n - 4*s + 402 = 419, -s = -3*n + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*n + 206*n - 286*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (949 - 956)*(3847*(-6)\/14 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/11 and -17926 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i + 36 = 0. Let m(f) = 9*f**2 + 15*f - 16. Let g be m(i). Suppose -4*a + g = a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) - (-408)\/18. Suppose 24*i = g*i. Factor 0*b + 2\/3*b**5 + 0 + 0*b**2 - 2\/3*b**3 + i*b**4.\nAnswer: 2*b**3*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-4))\/((-19)\/44 + 56\/308). Solve f*g - 268 + 156 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.5 (c) -117 (d) 0 (e) -0.06 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.2336 tonnes to grams.\nAnswer: 288233600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -43. Let x = l + 6. Let y be (-330)\/1575*2 + 10\/75. Which is the closest to 1? (a) y (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 8:23 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 674368 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 9:21 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19719 = -655*w - 284*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/336049 at most as big as -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2035 and 2.45.\nAnswer: 4985.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443*u**2*z**2 + 2*u**2*z - 237*u**2 - u*z**2 + 20*u*z - 1045*z**2 + 2*z - 15 wrt z?\nAnswer: 886*u**2 - 2*u - 2090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (748*g**2 + 29*g**3 + 9*g**3 - 746*g**2)*(1 + 1 - 1)*(-1 + 1 + 3) as h*g**3 + m + s*g + z*g**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1168543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12601172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-22)*(-108)\/81.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e - -e57ea?\nAnswer: e5839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1268160 and 1268187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92 + 46 - -52)*(-1)\/(-69)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/428 and 38\/17.\nAnswer: 7276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2022 + 2053 - (1 + 83)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 478\/34 - (13 + 1) and 13\/(-4) + -1 + 2.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2320\/15)\/((-2336)\/(-876)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*m = 2*w + 371*m - 185*m + 10, 0 = -4*w - 9*m + 31*m - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -7*7\/(-1). Let a = x + -52. Solve 0*g - g = a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -7) + -2 + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i - 468. Give c(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -78, -2\/31, -5, 4, -0.4, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 265248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**5\/5 + t**3\/6 + t**2\/2 - t. Suppose 4*w - 60 = 68. Let o = 31 - w. Give i(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 24 + 51 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 4)*(4 - 2*u - 4) - 9 + 9 + 6*u)*(-407*u - 394*u - 9*u**3 + 838*u) in the form b*u**4 + w*u + h*u**2 + x*u**3 + n and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**4 - 544*m**3 + 2*m**2 + 84*m + 45595106 wrt m?\nAnswer: 4*m**3 - 1632*m**2 + 4*m + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7862166306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 11) to base 15.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 2, o: 2, t: 6}. Give prob of picking 2 o and 1 j.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 30*h + 75.\nAnswer: 3*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8*b = 70. Let w = b + 14. Suppose 0*p = p. Solve -2*u + p*u + 22 = -w*f, -f - 13 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/12 - y**3 - 3*y**2 - 4*y. Let s be w(7). Let u be 3\/6*(-1 + s). Solve 2*h + 6 = -u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95156079 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: Let n be -4 - 2\/4*-166. Does 4 divide (n - 5) + 6\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 4420013.\nAnswer: 1\/4420013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, u: 6, x: 1, h: 4}. What is prob of picking 3 h and 1 u?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, 370, 2376, 6970, 15184, 28050, 46600?\n\"Answer: 172*a**3 - 254*a**2 + 8*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**5\/60 + g**4\/8 - g**3\/6 + g**2 - 2. Let h(m) be the second derivative of k(m). What are the prime factors of h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 7*f + 8*f - 40 + 8*f.\nAnswer: 6*f - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13082.\nAnswer: 2, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 3*w = s - 20, -w = -s + 4. Let q(a) = a**2 + a + 1. Let m(p) = -3*p**2 + 3*p + 3. Determine s*m(t) + 3*q(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 524893763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-49)*((-5)\/((-180)\/14))\/((-140)\/56).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n. Let a(q) = 746*q**2 - 5. What is b(a(l))?\nAnswer: -4476*l**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c**3 + c**2 - c - 1. Let b(y) = 116*y - 400. Calculate the remainder when b(4) is divided by f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, -3\/22, 5, -0.09 in ascending order.\nAnswer: -3\/22, -0.09, 2.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5142963969 to the power of 1\/3, to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 6*v - 13*v. Let r = 14 - v. Let k be r\/5 + 6\/(-15). Solve 0*u - 5 = -k*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*c**3 + 4*c**2 - 41*c**3 - 4*c**2 + 82*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*v + 23 = 0, k + 3*v = -k + 21. Let d(f) = -f**3 - 5*f**2 + 6*f + 5. Let u be d(-6). What is the third biggest value in k, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 25*u. Let m(a) be the third derivative of a**4 - 4*a**2 - 84. What is 2*l(t) - 3*m(t)?\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 16 = 24. Suppose -286*c = -307*c - 168. Let r be c + 6 - l\/2. Solve 3*p + k + 17 = -0*k, 4*k + r = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 1. Let q(g) = -2*g**2 - 14*g - 7. Let a be q(-6). Let w = -15 - -12. Sort a, x, w in ascending order.\nAnswer: x, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 63 + 41 - 11.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g - 15. Let r be c(-10). Suppose 4*l - 20 = r*z, -l + 0 = 3*z + 12. Let v(t) = t**3 - t + l + 5*t**2 + 3 + 0*t. Calculate v(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - c = -2*w + 5, 0 = 2*w - 4*c - 14. Calculate the common denominator of 21*(3\/(-8))\/w and (68\/(-36))\/((-2)\/(-3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16436 divided by 3?\nAnswer: 16436\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(1216))**2.\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180602 and 16571.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1630200 is divided by 7150.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (15 + -77) - -5\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-228800)\/(-15))\/13)\/(26\/9399). What is b rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23824184?\nAnswer: 2, 127, 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 4. Let t(u) = 3*u + 2 + 0 - i*u. Let s be 48\/8 + 2\/(-1). Give t(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221 - 222. Let f(h) = -9*h - 161. Let x be f(-18). What is the nearest to x in 0.2, 5, y, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935032095.\nAnswer: 3, 5, 53, 61, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*p**2 + 23852*p + 5806398 wrt p?\nAnswer: -92*p + 23852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97974.3t in kilograms?\nAnswer: 97974300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/5, 106, 76, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 10. Let u(o) = 2*o + 6. Let m(a) = 3*k(a) + 5*u(a). Let h(j) = -37*j**2. Give m(h(d)).\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 605*o**3 - 352*o**2 + 49*o - 2 = 0.\nAnswer: 1\/11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-9)\/(-27)*(-11)\/2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Suppose -p*x = -20 - 52. What is the units digit of 1\/(x\/(-10) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/42*((-2)\/(-1))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -g + 6*g. Suppose 34 = 3*v - 11. What is the remainder when 6\/v + -186*(-1)\/10 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -27. Let x = 17 + r. Suppose -8*o - 10*o = -990. What is the remainder when o is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 + 288*b**2 + 55324*b + 320712 = 0. Calculate b.\nAnswer: -83, -6, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert da577 (base 16) to base 10.\nAnswer: 894327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 65988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4581, 4399, 4217, 4035, 3853?\n\"Answer: -182*h + 4763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25077, -25079, -25081, -25083?\n\"Answer: -2*d - 25075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4069542 and 49\/2538.\nAnswer: 36625878","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Let h be 2*2*(m + 1). Suppose -r - h = 1, -5*r = -4*s + 653. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 9*z**2 - 11*z**2 - 2*z**3 + 18*z**2 - 4 to m + l*z**2 + s*z + r*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60654 is divided by 60613.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 22220?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 3. Let z be (-198)\/132 - 2\/((-4)\/(-185)). Let w = z - -103. Determine j(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 + 133. Is (m\/(-6))\/(-3) - -1696 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/24 + x**3 + x**2. Let z be y(5). Let q = -0.4 - -0.3. Which is the second biggest value? (a) z (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4745 divided by 107?\nAnswer: -4745\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 40*j**2 - 32*j**2 + 2 + 71*j**2 + (4*j**2 - j**2 - 2*j**2)*(0 + 1 - 3).\nAnswer: -3*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10)*(-770)\/(-308))\/((-2)\/(-23))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, e: 2, l: 4, s: 1, y: 6}. What is prob of sequence se?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 + 50*j**2 + 18*j - 1. Let u be i(17). Let f be -6*(-6)\/72 + 566\/36. Are f and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 63*w**2 + 10*w - 17. Let x(p) = p**2 - p. Let l(r) = q(r) + 4*x(r). Let z = 292 + -284. Is l(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19303, -19327, -19351, -19375, -19399?\nAnswer: -19423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.36 + -9.9. Let a = -271\/62 - -120\/31. Is a less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 34, -205275?\nAnswer: -205275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t + 0*t + 8*t)*(0*t**3 + 5*t**3 - 3*t**3) - 2*t**4 - 4*t**4 + 4*t**4)*(2 - 2 + 2).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = -0*i. Let f = i + -8. Let w be (-1)\/(f + 3 - 1). Solve 5*l + 33 = 2*c, l = -4*c - 2*l + w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494813 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106, -500, -1166, -2110, -3338, -4856?\n\"Answer: -u**3 - 130*u**2 + 3*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17. Calculate the common denominator of (-1 + l\/(-4))\/15 and 117\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z**2 + 2*z - 3. Let v(w) = -2*w + 2 + 1 + 3*w. Let f = 62 - 62. Let x be v(f). What is d(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 44*k**2 - 93*k + 46. Determine r(46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 16. Suppose -f*b = -b - 4. Let v(x) = x**3 - 3*x**2 - 2*x. Give v(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964499.901 rounded to the nearest one thousand?\nAnswer: 964000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24060 divided by -1738?\nAnswer: 12030\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/12628 and -37\/126?\nAnswer: 113652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 13*n - 4*n - 168091. What is the highest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b - 23855. Let j be s(0). Let x be (-8)\/(-52) + 13342\/j. Let o = -2\/367 - x. What is the second biggest value in -4, -4\/3, o?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712956 divided by 59\nAnswer: -12084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -5 + 8\/45*i**5 + 4\/9*i**2 - 8\/27*i**3 + 0*i + 1\/9*i**6 - 7\/18*i**4. Solve g(s) = 0 for s.\nAnswer: -2, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1771\/14)\/((-2)\/4) + -3. Let y be 4\/9 - f\/72. Sort y, -10, -1\/5, -2\/3 in increasing order.\nAnswer: -10, -2\/3, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 92 - 101 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -425 and 439401.1678.\nAnswer: 438976.1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3623563, 3623590, 3623617, 3623644?\nAnswer: 3623671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-46)\/23)\/(28\/(-54706)) - (-24)\/56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = 5. Solve -3*z - 6 - 2 = m, c*m = -5*z - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -596 - -1393. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*s - 6, 3*l + 2*s - 4 = 2*l. Suppose 620 - 152 = l*u. Is (-5040)\/(-26) + 36\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 15. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409.32 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 43. Suppose -l*i = 3*k - 4*i - 7374, 4*k - 9822 = -2*i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107517, -211386, -315255, -419124, -522993, -626862?\nAnswer: -730731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((448\/10)\/8)\/(4\/110). Suppose 6 = 8*t - k. Which is the nearest to 1? (a) -1 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 6*q**2 + 4*q + 1. Let b be (-5)\/(-20) + (-34)\/8. Let n(j) = -2214*j - 19864. Calculate the remainder when n(-9) is divided by u(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 11*g**2 - 10*g + 5. Let m be x(10). Suppose -34 = -3*d - 3*y + 2*y, 5*y + 70 = m*d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8411*h**3 - 5325*h**3 - 17701*h**3 - 20415*h**3.\nAnswer: -35030*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17736 - -36714. List the prime factors of l.\nAnswer: 2, 3, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/141 and 103\/12.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 8:53 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4136*t + 2161 - 393*t + 42 - 755 + 1970 with respect to t.\nAnswer: -4529","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392886704 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 5275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {c: 5, p: 2, u: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 94933008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {f: 1, u: 2, m: 2, g: 2, k: 3, z: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -109*s - 6 - 131*s + 30*s - 20*s. Suppose -4 = -z, 2*i = 4*z - 9*z + 18. Let k be y(i). Calculate the highest common divisor of 28 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45 and -26\/55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -914, -3612, -8108, -14402, -22494, -32384, -44072?\nAnswer: -57558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 0 + -2)*2\/(-16). What are the prime factors of 2\/(-8)*v - (-6548)\/16?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/8 (c) -2\/21 (d) 4 (e) -1374\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - -36. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -42?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -206. Calculate the remainder when 26 is divided by (n\/15)\/3*-5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 36933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 + 11 + 19*r**2 + 4*r + 15*r**2.\nAnswer: 41*r**2 + 4*r + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 5*r - 6. Let q be x(7). What is the greatest common divisor of q and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyooooooooyooooo. Give prob of sequence oooo.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 - 347*i**5 - 786*i**2.\nAnswer: -240*i**3 - 20820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*l - b, 3*l - 35 = -2*l + 5*b. Suppose j = -l*j + 5*a + 2089, -a = -4. Suppose 3*i = j + 1499. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 97*n - 110*n. Let q(a) be the third derivative of -1\/210*a**6 + 0 + 5*a**2 + 1\/105*a**5 + 1\/21*a**n + 0*a**3 + 0*a. Factor q(j).\nAnswer: -4*j*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c + 498 + 33*c - 7*c.\nAnswer: 48*c + 498","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2 - 2*i**2 - 6*i - 2*i + 0. Let u(n) = n**3 - 3*n**2 - 15*n - 4. Let a(t) = 4*u(t) - 7*x(t). Determine l, given that a(l) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -7. Suppose o + x = -0*o + 18, 46 = 3*o + x. What is the least common multiple of z and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -328075795 equal to -1640378973\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01952 to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1787 = -6*h + 4783. Are 1094 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/41 - 103\/287. Which is the third smallest value? (a) 0.2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 14810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3587, -3589, -3599, -3623, -3667, -3737?\nAnswer: -3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**7\/945 + m**6\/108 - 7*m**5\/270 + m**4\/36 + 27*m**2 - 29*m. Let h(s) be the first derivative of j(s). Factor h(p).\nAnswer: -2*p*(p - 3)*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/3, 3, 1.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*w**2 - 212*w wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 91 + (227 - 208 - (-8 + 14))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 746705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -45, -118, -213, -324, -445?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 434 + -184. Let j = -1910 + n. What is j rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 112449 and -1157.11557.\nAnswer: 111291.88443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 4\/15, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/1 + (-39 - -43). Sort -3, 4, k in decreasing order.\nAnswer: 4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*t)*(4 + 0 - 6)*(88 - 27 - 10)*(-5*t + 8 - 8) - 2*t**2 + 0 + 0 + (0 + 3 + 0)*(-t - 2*t**2 + t) - 2*t**2 + t**2 + 2*t**2.\nAnswer: -1027*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 3. Let l(z) = -2*z + 4. Calculate -5*l(i) - 7*v(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0276 - 308.9724. Let w = x + 309.000734. Round w to five dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.6 + -5.6. Let f = 0 - c. Which is smaller: f or 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(77) - (sqrt(77)*-1 + sqrt(77)))\/sqrt(11).\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -26*t**4 + 5*t**2 - 21. Let f(y) = -273*y**4 + 52*y**2 - 221. Let s = 44 - 39. Let g(v) = s*f(v) - 52*x(v). Differentiate g(m) with respect to m.\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8976\/308)\/34*(-28)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - y + 2*y**2 + y - 5. Is m(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/12 + 1)\/1. Let j = 32\/11 + -127\/55. Which is the third smallest value? (a) r (b) -10 (c) j (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*164\/205.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 16, -26*p + 238214 = 5*b - 24*p. List the prime factors of b.\nAnswer: 2, 3, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214918607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -44968787.\nAnswer: 89937574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 201862105199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 1. Let l(f) = -2*f**2 - 3*f - 1. Let g(q) = -l(q) + 4*r(q). Determine g(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 219 + 43 = -17*r - 4*s, -5*r - 108 = -3*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 34*y + 608. Give k(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 1862700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-348)\/42 + 8 + (-2468)\/(-14). Suppose a = 5*a - f. Let u(p) = p**2 + 3*p - 1. Calculate the remainder when a is divided by u(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 80 = 6*u. Which is the third smallest value? (a) u (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2560865 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 + 6*t - 83 wrt t?\nAnswer: 3*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzjjmzzzmzmj. What is prob of picking 2 z?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612807760 to the nearest integer?\nAnswer: 24755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-16376)\/267)*(-64)\/(-60).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*x**3 + (-3*x**3 - 3*x**3 + 5*x**3)*(-3 + 0 + 4))*(-5 + 5 - 1)*(-1 + 2*x + 1).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/169, -4, -2\/3, 40 in descending order.\nAnswer: 40, 4\/169, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/18*140\/5. Suppose -4*b + 2*w - 26 = 0, 4*b + 5*w - w = 4. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 30. Suppose l*t + 8 = -8. Let b be (21\/t)\/(1\/(-4)). Calculate the highest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from vvr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/36075*(-91)\/(-21)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 446 + -446.3. Which is the nearest to 0.5? (a) j (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3855456 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 zz when two letters picked without replacement from zekumkzuvzev?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(360) + (1*sqrt(280))\/sqrt(7))*2)\/(sqrt(8) + sqrt(32)\/(sqrt(8)\/sqrt(2)) + sqrt(8) - sqrt(72)*-2).\nAnswer: 8*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18)\/(sqrt(6) - 6*sqrt(96)))*-6.\nAnswer: 6*sqrt(3)\/23 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2535 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*f + 448 = 142*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/11 - 2\/11. Let a be 0 + g\/(-2) - 1. Calculate the highest common factor of 2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1399 + 1403. Which is the closest to 0.2? (a) y (b) -7 (c) -1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154540019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 4*v**2 + 24*v - 79. What is l(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -884 - -888. Calculate the highest common factor of q and 428.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17525942 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 11:52 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418795147?\nAnswer: 418795147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*v - l + 2, v + 3*l + 4 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11458.\nAnswer: 2, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 15*u**2 + 98*u - 179. Determine v(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289501*j*t**4 + 2994*j*t**2 + 3*t**4 + t**3 - 141*t**2 wrt t.\nAnswer: -6948024*j*t + 72*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*w + 3*f + 30, -f = 4*w - 82. Let x be 8\/12 - w\/(-6). Suppose -t + 24 = 4*a, a - 45 = -2*t - 4. What is the highest common divisor of t and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -1 - 5. Suppose 2*a - t*a + 3*w + 19 = 0, -5*a + w + 39 = 0. Let f be 2\/a - 26\/(-7). Solve 0 = k - f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*l - 35, w = -33*l + 36*l - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - r - 4, 3*j + 0*j = -3*r - 12. Suppose j = 3*z - 29 - 4. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1642 - -1645. What is m in -16\/15 + 2\/15*m**t + 8\/5*m - 4\/5*m**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {e: 2, m: 2, q: 10, g: 6}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 - 349. Let k = -116.7 - f. Sort 0.3, -3\/8, k.\nAnswer: k, -3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13570 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 59*c**5\/20 + c**3\/6 - 20*c. Let v be p(2). Suppose 7*w = v - 26. What is the remainder when w is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 12:52 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2 + 257*y + 2743. What is t(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-2 - (-6 - (-6 - 0)) - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**4 - 21*o + 21*o - 10*o**2 wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8202 + -8134. Solve k = -57*b + 40*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 39*s**2 + 2*s + 2. Let d(i) = 20*i**2 + i + 1. Let k(y) = -5*d(y) + 3*z(y). What is the units digit of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -8.79.\nAnswer: -8.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpn when three letters picked without replacement from {p: 3, n: 2, a: 1, h: 3, z: 1, b: 9}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/14 - 41\/(-63)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11813*u - 248061. Calculate y(21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 1 + 4 + n. Let a(o) = -2*o - 5. Calculate the remainder when a(-11) is divided by i(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065*b**2 - 97*b + 54*b + 1073*b**2 + 43*b.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1655*v + 34994. What is b(21)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + -67. Let r(p) = 2*p + 2*p - n*p. Let s(d) = d**2. Give s(r(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15293\/80308 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 310 = 4*m, 3*h + 2*h + m - 793 = 0. Let f = h - 78. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-45)\/(-6))*(-396)\/(-2). Suppose -16*x = -19*x + j. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499700 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 106*u. Let c(g) = 200*g - 103*g - 99*g. Determine j(c(h)).\nAnswer: -212*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -4 (b) -1\/2 (c) -5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-2*u + 5*u + 3*u)*(1 - 4*u - 1).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 77*c**2\/2 + 3815. Let s(n) = 46*n. What is s(t(z))?\nAnswer: 3542*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76.03 + 78. Let n = q + -2. Let l = n - 0.37. What is the third biggest value in -3, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 47 - 9 = 0. Let b = q - -6. Suppose 19*h = b*h + 235. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 3*c**3 + 7*c**2\/2 + 3*c - 8. Suppose b + 0*b = -7. Is j(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 = 3*u, -u + 8 = 3*u - y. Suppose u*x + 4*x - 1140 = 0. Find the common denominator of -107\/14 and x\/(-12) - 13\/(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, h: 2, e: 1}. Give prob of picking 2 n.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -629488909*b**2*r**2 + 2*b*r**2 - 23*b*r + b - r**2 - r + 344702 wrt b?\nAnswer: -1258977818*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -17746*p - 443662. What is l(-25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(65)\/sqrt(405).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 337 - 125. What are the prime factors of y?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 4 (c) -11860\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2305429*p**4 + 4*p**3 - 488*p**2 + 25378*p?\nAnswer: 55330296*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 1831964.\nAnswer: -23\/457991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 4*c**2 + c + 3. Let j(h) = 5*h**3 + 11*h**2 - 3*h - 8. Suppose 4 + 0 = -s. Let d(b) = s*j(b) - 11*g(b). Give d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, -4, 6332, -90 in decreasing order.\nAnswer: 6332, 5, 2, 0, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Let z = 11 - x. Let w(u) = -u**2 + 7*u - 1. Does 5 divide w(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.12 to 0 decimal places.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 10*w + 9. Let o(s) = -s + 1. Let b be o(-7). Is x(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 473*z**2 + 81 - 142.\nAnswer: -473*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 778764636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - s - 1207, -5*s - 617 = 2*x - 0*s. Let k = -301 - x. Solve -4*w + 5*q + 37 = k, w + 0*q = -2*q - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**5*q + 12*f**3*q*v + 11*f**2*q*v - 2*f**2*q - 2*f**2*v + 2*q wrt f.\nAnswer: 360*f**2*q + 72*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 218.490484.\nAnswer: -218.290484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + (4 - 5) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -20*x - 23. Let c(d) = d**2 - 4*d + 4. Let n be c(3). Let m(z) = -z. Let t(b) = n*w(b) + 4*m(b). What is the derivative of t(r) wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 209 = -7. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -48. What is the smallest common multiple of u and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3749490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2333, 2389, 2445, 2501, 2557, 2613?\n\"Answer: 56*y + 2277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 439 * -1.8.\nAnswer: -790.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 126.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/74518 and -23\/13727?\nAnswer: 521626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + 2 + -4 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1500) + sqrt(1500)*-2 + sqrt(1500)))\/((sqrt(660)\/(sqrt(44)\/sqrt(4)))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -30. What is the second smallest value in y, 2\/13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*q - 22*h + 21*h, -2*h - 21 = -3*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -228 - -228.102. Which is bigger: -2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/252559121?\nAnswer: -4\/252559121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/36 + -4\/9. Find the common denominator of 29\/20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2 + 1866*x - 261936 = 0.\nAnswer: 214, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*(-2)\/(-1))\/(-1). Let j be d\/4*-22 + -2. Suppose -j*v + 138 = -7*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -31077\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-1)\/(3\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912\/114*7\/((-7)\/4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o\/((o*o**(-3\/4))\/o*o))\/o))*o)**(-9)\/(o\/(o\/(o\/((o**13*o)\/o)))*o*((o\/o**2)\/o)\/o) assuming o is positive.\nAnswer: o**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -19*s - 1103. Calculate g(-58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98533?\nAnswer: 98533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 631 = -2*y - 7, 5*y = 25. Let s = x - -573. What is the highest common factor of s and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3297431911?\nAnswer: 17, 2789, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/3387 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -203*q + 117. Let t(c) = 74*c - 39. Let w(k) = -4*a(k) - 11*t(k). Calculate w(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 6:27 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*5*(5 + 4). Suppose q + 0*q - a = 9, 5*q - a = o. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/21 + 31\/3. Suppose -z - 2 = 0, 5*c + v = 2*z + 3*z. Let j(n) = -2*n**2 - 7*n - 4. What is j(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*f + f - 147 = 0, f - 197 = -4*r. Let k = r - -20. What is the greatest common divisor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three thirds of a week in hours?\nAnswer: 4088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169 + 8*p**2 + p**3 - 2*p**3 + p**4 - 171 to the form i*p + u*p**4 + f*p**3 + a + r*p**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 153*u - 23. Let r(x) = 2*x + 22. Let a be r(-4). Is p(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/5423000 and -57\/37400.\nAnswer: 5423000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 52.4. Sort 3, 5, d.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(13)*-1 + 1*sqrt(1300) - (1 + 3 + sqrt(13) - (-5 + (sqrt(78)\/sqrt(6) - sqrt(13)))))**2.\nAnswer: -144*sqrt(13) + 913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.30365 - 0.70366. Let r = x - 0.6. Round r to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -3*p**7\/49 + p**6\/14 + 9*p**5\/28 - 2*p**3\/7 - 40*p. Suppose t(z) = 0. What is z?\nAnswer: -1, -2\/3, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 138 (c) -3 (d) 0.4 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:28 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3582 + -3582.32252. Let f = u + 0.323. What is f rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*k = -3*g + 26, g + 5*k + 8 = 0. Let y = g - -14. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(1 - 4)*-1. Suppose -4 = s*b - 5*b. Suppose 11*t - 6*t = 15, t = -5*u + 28. Solve -b - 13 = u*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3092288\/73 or 42360?\nAnswer: 42360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23199 and 6327?\nAnswer: 69597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 - 15*v - 54. Let m be c(-7). What is the biggest value in 4, -0.2, 2\/3, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/10326294 and 131\/1877508?\nAnswer: 20652588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.03 + 114.03. Let v = -113 + r. Which is the third smallest value? (a) v (b) 22 (c) 2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l + 6 + 10 - 16.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 29. Is (46 - q) + (-5 - -1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {f: 1, c: 5, i: 1, y: 1, r: 1, g: 5}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 544097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 1502145705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2*f**2 - 24*f + 15. Let d be l(-6). Let o(r) = 2 + 2 - 8*r**2 + 4*r + d*r - 6. Give o(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 66223573.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 438 * 6.\nAnswer: 2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 39*q**2 + 10*q + 31*q**2.\nAnswer: -8*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 8816 = -8991 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*x + 861*x - x**3 + 366*x - 3*x**3.\nAnswer: -4*x**3 + 1495*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -37208\/7, 6, 0.5, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/39200 and -11\/5600?\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -19*n**2 - 685*n - 4. Suppose -15*p - 320 = -20*p. What is the lowest common multiple of p and l(-36)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 9.7, 11, 64649.\nAnswer: 0.4, 9.7, 11, 64649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-174)\/(-42) + -5)*1\/(-3). Let l = -2 + 1. Which is the closest to l? (a) m (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4384 is divided by 164?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 57*i + 36. Suppose -d - 4*u = -9, 3*d = -8*u + 3*u + 13. Is 31 a factor of p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v. Let j = -24 - -58. Let m(i) = -6*i**2 - 17*i. Let o(s) = -s**2 - 3*s. Let q(k) = j*o(k) - 6*m(k). Calculate a(q(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 4 = 4*g. Let y be -1*g\/(-4)*-2. Suppose 0 = -m + 2*o + 19, 0 = m - y*o - 14 - 20. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163.99 - 163. Let g = 0.09 + -0.1. Let k = g - o. Which is the nearest to k? (a) 1\/3 (b) -3\/8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792096621 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*118*5\/40. What is the highest common divisor of s and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4*1*-2)\/(710\/355). Suppose -2*r = 2*r + 116. Let o = -21 - r. Solve 6*i = 7*i + 5*d - b, 2*i = -d + o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9018 divided by -6?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15\/172 - 1\/258. Let q(n) be the first derivative of 0*n + 1\/6*n**2 - v*n**4 - 1 + 0*n**3. Factor q(c).\nAnswer: -c*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - n - 120. Factor -12*q**2 - 9 - 6*q**2 - 30*q**4 - n*q + 33*q**4 + 0*q**2.\nAnswer: 3*(q - 3)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -23*y**3\/6 + y**2 + 8*y + 126. What is j(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2157641197 is divided by 715.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)*1\/(-6). Suppose 7*m + 18*m = 225. Sort m, v, -0.1 in decreasing order.\nAnswer: m, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 474\/7. Let m = 939.99 + -940. What is the smallest value in x, 0.2, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1149 rounded to three decimal places?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k. Let t(y) = -y**3 - y**2 + 2*y + 7000. Let i be t(k). What is i rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37282, -38820, -41384, -44974, -49590, -55232, -61900?\nAnswer: -69594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.466201547 to two dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001683080789 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 1)\/((-3)\/(-4)). Let h be r\/4*9*1. Suppose 4*b = h*b + 3*o - 29, -2*o = -5*b + 39. Solve -1 = -5*q - 2*u - 17, u = 5*q + b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 208, 460, 758, 1108, 1516?\n\"Answer: v**3 + 17*v**2 + 194*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 43*m**2 + 1262*m - 16. Let p(d) = 41*d**2 + 1263*d - 24. Let u(n) = -2*p(n) + 3*w(n). Find the second derivative of u(k) wrt k.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4180 and 475?\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/9 (b) -1\/11 (c) -23 (d) 0 (e) -340\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -9. Let n = j + -4.95. Let y be 9\/(-3)*1 + 3. Is n less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 753464759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - (2 + 9 + -6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*m - 6*r = 20, -5*m + 4*r = 30 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*a - 2*a + 233, 0 = -3*y - a + 362. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1352*i**2 + 2*i - 2*i.\nAnswer: -1352*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 9:15 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 650?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a - 32 = 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.42 (b) -3\/8 (c) 11 (d) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*n = -0*u, -5*u + 3*n - 72 = 0. Let t = 77 - u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 4*h - 44 = -88 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*j - 23*j + 2*j)*(179 + 167 - 119) to r*j + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 92.53524 nanoseconds?\nAnswer: 0.00000009253524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 9*f - 1. Calculate t(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.146 - 2.854. Let u = 1 + 9. Let n = u + -3. Sort n, -2\/11, c in decreasing order.\nAnswer: n, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1 + (-1 - 1). Suppose -6*c = -4*v - 10*c - 4, 0 = 4*c. Let m = 0.03 - -0.37. What is the nearest to v in m, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 108 = -486. Calculate the remainder when t is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**2 + 222*s - 9. Let l be w(-37). Let t be 6\/l*(290\/50 - 7). Factor t*x**2 - 24\/5 - 4\/5*x.\nAnswer: 4*(x - 3)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004947 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175659 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 4. Let a be 20\/14 + 9\/(-21). Let i(w) = -w**2 + w + 1. Let q(f) = -10*f**2 + 18*f + 11. Let z(o) = a*q(o) + d*i(o). Determine m so that z(m) = 0.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.2, -216, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65342 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - 105. Let c(m) = -18*m + 4. Let a be c(3). Let l = a + u. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:24 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -55*c**3 + 898855*c**2 - 3672823645*c + 3004435845 = 0.\nAnswer: 9\/11, 8171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52567 less than 4.4?\nAnswer: -52562.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3022738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83412522*b**5 - 4971*b**2 + 323*b wrt b.\nAnswer: 5004751320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1389*u - 155*u - 1785*u + 543*u in the form d + m*u and give m.\nAnswer: -2786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 71445.\nAnswer: 71445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-15) - ((-152)\/24)\/1. Determine g so that -r*g**2 + 0 + 4*g**3 - 8\/3*g = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 15*h - 2. Let a be i(-15). Let x be 3\/(3\/a) + (-12 - 11). What is the units digit of ((120\/x)\/2)\/((-3)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11015535 and 855?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4424 (base 6) to base 7.\nAnswer: -2662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.62 + 0.72. Let s be 84\/105*(-1)\/(-3 - 1). What is the nearest to -1 in s, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-105)\/14*4\/6. Let q be (4 + -3)\/((-1)\/b). Sort -4, q, -1.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 5)*(-o**3 + 0*o + 0*o) - 17*o**3 - 18*o**3 - 38*o**3 - o**3 + o**3 - 2*o**3 + 4 to the form u + p*o + n*o**2 + w*o**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*d - 17*r - 167, 177*r - 33 = d + 181*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10750 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2294 - 79781. Let r = 245487 + u. Round r to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 + -16)\/((-2)\/5). Suppose -l*u + 18 = 4*u. Suppose -k - 3 = u*k, -y + 8 = -3*k. Solve -2*s = -2*p - 8, -y*p - 2*s = 29 - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -61 (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 2*j + 5 = -12*t, 0 = -3*t - 2*j + 5. Solve -t*p + 7*p - 6 = 4*r, 2 = 3*p + r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*-2.718.\nAnswer: -176.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msossodmmdmmd. Give prob of picking 3 d and 1 m.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 minus -3089614?\nAnswer: 3089218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 1. Suppose -6 - 6 = 4*y. Let m be l(y). Let z(q) = q**2 - 6*q. Determine z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/11 + (-4)\/(-22). Suppose -4*j = -x - 24, -4*j + 2*j - d*x + 2 = 0. What is the second derivative of 5 - c**5 - j - c wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 903*g**2*n**2 + g*n**2 - 30*g*n - 10*g wrt g.\nAnswer: 1806*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.4 (b) -0.09 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 10*h**2 + 13*h + 1. Suppose -1915 = 5*k - 10885. Let x be 4\/(-54) - k\/(-162). Determine z(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 101100111010111000?\nAnswer: -101100111010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -8. Suppose 0 = -3*n - s, 6*n - 2*n + 4 = -h. What is the remainder when 35 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 551\/7 + -79. Let x = -934792\/91 - -10272. Let w = j - x. Is w != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 29 = 3*f, 4*f + 49 = -5*j + 62. Solve -9*o + j*o = 4*p - 20, -5 = o - p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = -h. Calculate the remainder when 46 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 7) to base 5\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b**(-5))\/((b\/b**(-9))\/b*b**(2\/27)*b) assuming b is positive.\nAnswer: b**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + 122\/4. Let q = 14 - 10. Suppose q*h - u = h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*26\/(-78).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 596.4739 * -0.1\nAnswer: -59.64739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9715 divided by -1943\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-996)\/(-8) - 7\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124319.\nAnswer: 13, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 69*v**2. Let w be d(-1). Let x be (1 - 14\/6)\/((-52)\/1794). Calculate the greatest common divisor of x and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = -16*f - 7704. What is the remainder when f is divided by 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*v - 1026, 146 = 3*z - 2*v + 1178. Is -359 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68696\/5 greater than 13739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 14*g = 15, g = -2*i - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1222 and 27378.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/201 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50991039179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 230214 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/(204\/(-170))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30342, 60627, 90892, 121137, 151362, 181567, 211752?\n\"Answer: -10*k**2 + 30315*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 254 - 105. List the prime factors of h.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.0486 from -0.0047.\nAnswer: -3.0533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**7\/56 - q**6\/40 + 3*q**5\/40 + q**4\/8 - q**3\/8 - 3*q**2\/8 - 2*q - 5. What is o in i(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62591 or 1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p**3 - p**2 + 2*p + 5. Let y be o(-2). Let n = y + 118. Solve -n*l = 3 + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 33*c + 5. Let s(d) = 16*d + 2. Let q = -1310 - -1312. What is q*b(a) - 5*s(a)?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.3 - -7. Let w(v) = v**2 - 22*v + 42. Let p be w(20). Which is the second smallest value? (a) p (b) k (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 8.\nAnswer: -49\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c**2 + 1)*(-63459*c**3 + 27 + 63463*c**3 - 91) + 3*c**4 - 2*c**4 - 2*c**5 - c**5 - 3*c**2 + 0*c**2 + 4*c**2 - 2*c**5.\nAnswer: 3*c**5 + c**4 - 127*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-99))\/(-10 - ((-90)\/99 + -9)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**4 - 143*i**3 - 288*i**2 + 3*i - 3. Let w(j) = -2*j**4 + 144*j**3 + 288*j**2 - 4*j + 4. Let u(r) = -4*f(r) - 3*w(r). Factor u(n).\nAnswer: -2*n**2*(n - 72)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13633\/338 - -1\/1014. Let z = -41 - w. Put z, 0.1, 4 in descending order.\nAnswer: 4, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 26. Let v = m - -45. Let x = v - 9. Solve 0 = 4*b - 0*b + x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/1543389 and 73\/114.\nAnswer: 3086778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*n + 2. Suppose -3*r - n*r + 344 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 3, d: 5, s: 2, e: 5, t: 4}. Give prob of picking 1 a, 1 t, and 1 d.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 129340407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2383640 and -0.0045.\nAnswer: 2383639.9955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-15))\/(8\/10)*-4. Let i be (3 - d)\/((-3)\/33). Is -12 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211421866 is divided by 2330?\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 58*p**3 + 555*p**2 - 1676*p - 2. Calculate c(3).\nAnswer: 1531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3485 - 3473. Solve -16 = -s*c - 28 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 152190010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 2*p - p**2)*(p + 3*p - 2*p) + 412*p**3 - 4530505*p + 4530503*p + 3623*p**3 - p**2 in the form d*p**3 + w + y*p**2 + u*p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 3*q + 8. What is the tens digit of f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:05 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.083.\nAnswer: 0.1162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046884028 rounded to 7 dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 + 837*k**2\/2 + 42703*k + 419760.\nAnswer: (k + 11)*(k + 106)*(k + 720)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1285*r - 7975*r - 6005*r - 610600 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 33 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3401 (base 7) to base 9\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 3074*z - 3067*z + 6017*z in the form u*z + j*z**2 + i and give u.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9943936.\nAnswer: 2, 77687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -387, 8, 37, 1\/4?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2415 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*q + 1. Let o(n) = -3*n**3 + 14*n**2 + 38*n - 43. What is the remainder when o(-4) is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 33. Suppose 0 = d + 4*w - 14, 4*d = 2*d + 5*w + f. Solve 2*a + 0*y + d = 3*y, -5*a + y = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25304322 (base 6) in base 13?\nAnswer: 228110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*u + 15435, -2*u - 6979 = -3*o + 8458. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1804 - -1805. Put g, -2\/3, 4, 19, -0.2 in ascending order.\nAnswer: -2\/3, -0.2, g, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -30.6. Let g = p + -32.5. Let h = 3.38 + g. Which is the second biggest value? (a) h (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Suppose -5*z = -u*o + 5*o - 41, 5*z = 5*o - 15. Let h = 708 - 680. Calculate the greatest common factor of h and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -994, -2738, -4494, -6268, -8066, -9894, -11758, -13664?\n\"Answer: -r**3 - 1737*r + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5\/4, 0.1, -0.2, -0.5 in increasing order.\nAnswer: -5\/4, -0.5, -0.2, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.404687132402 from -25.\nAnswer: -21.595312867598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2746272772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2341212 - 3?\nAnswer: 2341204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from uffulffquqful?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 66. Calculate the greatest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, u: 1, l: 1, v: 2}. Give prob of picking 1 w and 1 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002443 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 141*c**2*p + 4*c**2 - 37012*c*p + 92385*c - 2*p wrt p.\nAnswer: 141*c**2 - 37012*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*g**3 + 2*g**4 - g**2 + 0*g**3 - 3*g**3 - 2*g**3 - 19 to the form m*g**2 + n*g + x + u*g**4 + h*g**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 39. Calculate the greatest common divisor of 138 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 126 + 93\/5*r + 3\/5*r**2 = 0. Calculate r.\nAnswer: -21, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l - 26*l + 13*l. Suppose -f + 12 = 5*f. Let j(x) = 2*x**2 - 4*x**f + 0*x**2 + 3*x**2. Determine d(j(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -168. Calculate the greatest common divisor of z and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3431 = 64*i - 30937. Solve -545*d + 64 = -i*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -27, 4, -3 in increasing order.\nAnswer: -27, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 29037*t**3 + 10*t - 14*t.\nAnswer: 29037*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 357 = 5*x - 336, -5*x - 2*k = -692. Let q(p) = p**2 + 10*p - 73. Let j be q(-17). Calculate the highest common divisor of j and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (440 + 529 - 1559)*((-2 - 4 + 5)*(3*r + 2*r - 3*r) + 0*r + r - 4*r).\nAnswer: 2950*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 50. Which is greater: -41 or y?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.51 - -4.41. Put -5, m, -4\/9, 5 in descending order.\nAnswer: 5, m, -4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - (2 + 0)) + 0. Suppose 23 = -10*m + 15*m + 13. Put 4, -3, m, d in increasing order.\nAnswer: d, -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -686173854935 and 6.9?\nAnswer: 686173854941.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 482545 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*s + 164, -4*s = -7*w + 3*w - 156. 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 l = -41 - -20. Let i = l + 31. What is the greatest common divisor of 65 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -814 divided by 19?\nAnswer: -814\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 1758 in descending order.\nAnswer: 1758, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.5813*-9.633\nAnswer: 15.2326629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7587067 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1110 + 102 = 12*r. Let v(c) = -c + r - 47 - 49. Give v(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 145*s**2 + 1379*s - 710. Calculate q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - 86. Let v be 45\/b*4\/(-3). Let t(k) = 2*k**3 - 4*k**2 + k + 2. Determine t(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 41 = -29. Suppose -q + 4*v - 218 = -o*q, -25 = -5*v. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -179*j**9\/56 - j**5\/15 + 7*j**4\/24 + 1878*j**2. Find the third derivative of b(x) wrt x.\nAnswer: -193320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2 - s - s - 20 - 2*s. Let k be m(-6). Solve h - k*x = 10, -4 = -5*h - x + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 281.842 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 3*r - 1. Let f be y(-4). Let t = f + 1. Solve -c = d - t, -4*c - 3*d + 20 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*p*t - 509*a**2*t - a*p*t + 3*a*p + a*t - 9*a wrt a?\nAnswer: -2*p*t - 1018*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 18 = 5*k + 2*b, -3*k + 4*b = 8. Suppose 5*f + 27 - 42 = 0. Sort -3, 4, k, f in descending order.\nAnswer: 4, f, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnin when four letters picked without replacement from {i: 3, n: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1. Let w(k) = k - k - k - 5. Suppose -6*d - 3*i - 36 = -3*d, d = 5*i + 18. Let x be (d - 6) + 6 - 4. Determine x*a(l) - 2*w(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15475b (base 12) to base 15\nAnswer: 71c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47419.\nAnswer: 47419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4144 - -2?\nAnswer: 4150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 (base 10) in base 13?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 616\/10 - (-6)\/(-10). Suppose 0 = -a - 1, 5*x - a - t = 0. Calculate the lowest common multiple of x and (-136)\/(-14) - (-4)\/14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/20 + 5*h**4\/6 + h**3\/6 - 5*h**2\/2 - 15*h. Let r be f(10). Which is the closest to 1? (a) 3 (b) -2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5977 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = -i, 3*i + 2*q - 5 = 4*i. Suppose -5*h + 2*h = 3, i*c = -3*h + 62. What is the highest common factor of c and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 + 26*l**2 + 3*l**2 + 46*l**2 - 2*l**2.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 3*t - 11. Let s = -16 + 11. Let y be l(s). Let n = y + 30. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.081, 0, 73, 1, -7, -1\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 351 + -248. Let v = y - 31. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(20*p**5 + 21*p**2 - 21*p**2).\nAnswer: -40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1468*q**2 + 2*q - 2. Let z(l) = 56*l**2 + 50*l**2 - 212*l**2 + 55*l**2 + 52*l**2. Calculate c(z(b)).\nAnswer: 1468*b**4 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-2 - (-1 + 2)). Let w(i) = 5*i + 2. Let o be w(1). Suppose 0 = o*x - 3*x - t. Solve -y - 2*p + 12 = 0, -p = -1 - x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*h - 5039 - 658 = 0 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 9, 29, 77, 165, 305?\n\"Answer: 2*h**3 - 4*h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from mmmlllmmlmmlqmllllq?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132949558?\nAnswer: 2, 7, 47, 97, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4.446 * -0.2\nAnswer: 0.8892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(11*b**2 - 76*b**2 - 82*b**2) - 5*b**2 + 12*b - 12*b)*(-2*b + 2*b + b).\nAnswer: 142*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, 4, 87.\nAnswer: 2, 4, 28, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10115 and 4948615.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, 2\/163 in decreasing order.\nAnswer: 0.3, 2\/163, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.31. Let v = -0.31 + j. Let h = -138 + 138. Which is the nearest to -1\/2? (a) v (b) -2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 5*q**2 - 4*q - 3. Give b(5).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149881 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 3*f**2 - 2*f. Let z be v(4). Solve -5*x = u + 3 + 7, 2*x - z = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 37 + 627 + 486*a**2.\nAnswer: 486*a**2 + 674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11334232 + 0?\nAnswer: 11334232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*j**3 + 1464*j**2 + 1562*j**2 - 3*j**4 - 3146*j**2.\nAnswer: -3*j**2*(j - 20)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozzzzzyzzozooolo. Give prob of picking 2 z.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xex when three letters picked without replacement from {w: 1, o: 1, e: 1, h: 1, r: 2, x: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*c - 68, -17*t + 9*t = c - 228. What is the remainder when 122 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/371 (b) 5 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81184505 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*(-18)\/((-36)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*3)\/sqrt(4) - sqrt(2) - (6*sqrt(10)\/sqrt(5))**2.\nAnswer: -72 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 take away 258088.73722?\nAnswer: -258247.73722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 + 3 + -6 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 - 2*n**2 + 2*n + 1. Let l be s(-2). Suppose 0 = l*f - 4 - 11. Suppose -f = 4*d - 27. What is the lowest common multiple of d and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4258, 8516, 12774, 17032?\nAnswer: 21290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -24. Suppose 2*d = 2*v - u, 0*d - 3*v = 4*d + 70. Let j = d - -20. Solve -j*t = 5 + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 159 = -5*w + 71, 4*q - 226 = -5*w. Suppose -w*k + 14165 = -37*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7422998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36136 and 48?\nAnswer: 216816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11797*f**2 - 1075. Let p(l) = 2*l. Determine p(m(i)).\nAnswer: 23594*i**2 - 2150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*h**3 - h**2 + 151 with respect to h.\nAnswer: 399*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -2. Suppose -q = -4*j + 2. Suppose 14 = 3*d - 2*s, d + 5*s = j*s + 2. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*m - 226 = 0, -m = -3*g + 3*m - 181. Let t = -62 - g. Suppose -t*n = -n - 88. Is n less than or equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/2 + (-1 - (3 + -9)). Solve -2*v - x = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 54.6. Let l = 10.79 - -0.21. Let r = l + -16. What is the biggest value in c, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/2 + 51355*v**4\/3 - 450799267*v**3\/3 + 63730806668*v**2 + 896539916105*v\/6 + 128163020225\/3 = 0. What is v?\nAnswer: -2, -1\/3, 449, 16895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 189 = -q - 1559, -4*q + 20 = 0. What is the common denominator of 415\/2*(-3)\/(-45) and (-1550)\/a - (-6)\/(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 + 7*b - 1. Let m(x) = 2207*x**3 + 14*x - 1337. Let g(a) = -2*k(a) + m(a). What is the derivative of g(n) wrt n?\nAnswer: 6645*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273 + 460 + -204 - (2 - 2 - -68)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1240\/7 + -11398\/63. Find the common denominator of l and (4\/10)\/((-1)\/(-2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 308473\/1934*(-1)\/(33\/(-18)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*1)*5 + -3*(-2*sqrt(88) + sqrt(88)))\/(sqrt(40)\/(sqrt(5)*4*-3)).\nAnswer: -156*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 693*s**2 + 5029*s - 155715. Give m(686).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 2 = 142. Suppose h*z = 19*z + 911. Let w = -607 - z. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14. What is w rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(2\/8))\/(((-15900)\/1113)\/(22\/(-231)))\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -8*v - 24. Suppose -u + v*u = 0. Solve -s + 3*s = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 + 1285\/11. Let i = 56 + -58. Sort k, i, -5.\nAnswer: -5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20107 - 62343 = -1750*x + 38168 - 5154 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let t be 1\/2*12\/3. Suppose -3*x + 0*p + 5*p - 6 = 0, 0 = -t*x - 3*p + 15. Let n(m) = -4*m**2 - x*m**2 + 4*m**2. Calculate n(s(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8688.498 tonnes?\nAnswer: 8688498000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9597937 is divided by 44027?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 + 11*w - 16. Let z be y(7). Let i = z + 131. What is the least common multiple of 9 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -11. Let n = v + -3. What is the closest to n in 4, 2\/17, -1\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((2\/(-2))\/(-1)))\/(133\/(-266))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 6 = 2*k - 3*j, -12 = 4*k + 4*j. Solve -5*n + 9 + 6 = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2255680 by 56.\nAnswer: -40280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 159 = -2*u, 2*u = -5*d - 76 + 243. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25274190 by 5054838.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112819)\/(-426))\/227*-6*3\/(3*28).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/6569?\nAnswer: 1\/6569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 greater than or equal to 169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 5*g**2 - 4*g - 5. Determine d(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**2 - 61*f - 13. Let z be k(-12). Let o(y) = 1. Let l(q) = -8*q**2 + 2. Calculate z*l(r) + 2*o(r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8859\/11 + 806. What is the common denominator of c and 34\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*o - 3*o + 85*o + (0*o + 0*o + 2*o)*(4 - 4 - 3) as j + f*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -92. Let u = 7 + -4. Suppose x = -u*h - x + b, 5*h + 5*x = 130. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/((8\/10)\/(-2)). Let j = 1779 - 1769. Calculate the greatest common divisor of h and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -331 + -11?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 413807513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u + 1\/6*u**4 + 11\/3*u**3 - 66*u**2 + 0 + 39\/20*u**5. What is the second derivative of n(j) wrt j?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*b = -210, 0*b = -5*n - 4*b + 511. What is the greatest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 140*o**2 + 14*o - 12. Let j(k) = -70*k**2 - 8*k + 7. Calculate 9*j(s) + 5*t(s).\nAnswer: 70*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/1807 - -101186\/5421. Let q = l - 64\/3. Let x(w) = -w - 6. Let i be x(-2). Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 0 - -3) + (2 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f + 5*f - 2*t - 29, -5*f + 3*t + 31 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481050?\nAnswer: 2, 3, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqyyyiqiyooqyto. What is prob of picking 1 i and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23114093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/33 - 2\/99. Let j = 304 + -305. What is the second smallest value in d, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/204 and -145\/28938?\nAnswer: 983892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.895 + -0.105. Let p = w - -46. Let t = -2.4 + 2. Which is the nearest to -1\/3? (a) 0.3 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64680 and 240394?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.791133 micrometers?\nAnswer: 0.000791133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -35.05. What is v rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -212*g**2 + 15. Let v(n) = n. What is v(p(b))?\nAnswer: -212*b**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - b)*(0*b + 0*b + 2*b) + (b + 2*b + 0*b)*(-4*b + 0*b + 6*b) + (-2 + 0 - 2)*(0*b**2 - 2*b**2 + 0*b**2).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 + 6*h + 1. Give q(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.43153 + 6.48007. What is a rounded to 2 decimal places?\nAnswer: 6.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(133)*1 - 6*(sqrt(133)*2 - sqrt(133)))\/(-2*sqrt(7)*2*4) + -5)**2.\nAnswer: -5*sqrt(19) + 119\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62689 = 1134*s + 395*s for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7195 = l, 4*n = -7*l + 4*l + 5756. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 768, 1523, 2260, 2979?\n\"Answer: -9*j**2 + 782*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 78. Put 0, l, -4 in ascending order.\nAnswer: -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-322)\/(3\/(195\/(-26))) is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, d: 4, m: 3, j: 2, p: 1}. Give prob of sequence jpdm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2 + -5 + -1*sqrt(612))**2.\nAnswer: 80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 12*o**2 + 11*o - 3. Determine s(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11688 divided by 2922.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 5:03 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 958*q. Let u(r) = 2*r**2. Calculate l(u(o)).\nAnswer: 1916*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.2 - -6.7. Let x = -44.9 - p. Which is the smallest value? (a) x (b) 9 (c) -5 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1532, -5, 5 in increasing order.\nAnswer: -5, 1, 5, 1532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -45941 <= -229706\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6144 is divided by 96.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*-2 + 2 - sqrt(68)\/(-5*sqrt(12)\/sqrt(3)).\nAnswer: -119*sqrt(17)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*i + 1)*(4*i - 4*i + i)*(8*i + 0 + 0)*(-2*i + 1 - 1) to the form c*i**4 + d*i + g*i**3 + o*i**2 + u and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k. Determine j(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 15*g**2 + 4*g + 18. Let c be z(-11). Suppose 5*q = b + c, -5*q + b = 3*b - 833. List the prime factors of q.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/((-469)\/105)*12\/165?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 372489 or 372491?\nAnswer: 372489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17496*j**3 + 1863*j**2 - 12*j - 4.\nAnswer: (24*j - 1)*(27*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0815997 millilitres?\nAnswer: 0.0000815997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i**2 - 15*i**2 - 2*i**2 + 4 - i**3 - 4*i + 2*i + 9*i**2. What is c(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107416639?\nAnswer: 11, 59, 165511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513932842.\nAnswer: 2, 756966421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 + -127. Let d = 14 + q. Let n = -64 + d. What is the third smallest value in -5, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 80. Let q = -54 - j. Suppose -q*a + 3*b + 879 = 0, a - 2*b = 5*a - 1184. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 6:46 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -243141521?\nAnswer: 243141521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.409 + 4.591. Suppose 3 = -7*v + 3. Which is the closest to 0.1? (a) v (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -2a3?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - 2*w)*(1 + 1 - 1) + (0 + 0 - 2*w)*(-174 + 196 - 928).\nAnswer: 1810*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 + 7.34.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 + 85\/25. Find f, given that -4*f**4 - 2*f**4 - 6*f**5 + 9*f**5 + k*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-1)\/(19\/114))*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3 + 0*q**3 - 2*q**6 + 27*q**2 + 5*q**2 - 38*q**6 wrt q?\nAnswer: -4800*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24296.\nAnswer: 2, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218 and 89755178?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 11 = 3*n, -y = 4*y - 2*n + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9408 and 5145.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:01 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 4, 9, 3 in decreasing order.\nAnswer: 9, 4, 3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**5\/15 + q**4\/6 - 3*q**2 + 2*q. Let k(f) be the first derivative of v(f). What is the second derivative of k(u) wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -7\/3103, -1\/4?\nAnswer: -7\/3103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*p + 164*p - 337*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 35 = 3*i, 2*i - 25 = -3*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -11 + -34 - (0 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 88.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7024390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 75\/2384?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/6 and -2\/67659.\nAnswer: 135318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 266202*a + 532392.\nAnswer: 3*(a - 88732)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7153 - -0.2847. Put 14, r, 2\/5, 4 in decreasing order.\nAnswer: 14, 4, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(27) - sqrt(3))*-5.\nAnswer: -20*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20624 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/28781211 and 25\/1173.\nAnswer: 489280587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p + 106. Give j(18).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-694821)\/(-99) - (-2 - 8\/(-3)). Let q = a + -7013. What is the common denominator of q and -16\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/4)\/(y*y*y\/(((((y\/(y*y\/((y\/y**(4\/5))\/y)*y*y))\/y)\/y*y)\/y)\/y)*y*y)*y*y*y**(-3)*y\/(((y**2\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-211\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t*u**4 - 2245*t*u**3 - 307*t*u**2 + 11*t - 4*u**4 + 2*u**2 wrt u.\nAnswer: -48*t*u - 13470*t - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r + 12. Suppose -219*w - 61*w - 14*w = 1470. What is q(w)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3312314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o + 20. Let b be u(5). Suppose -4*a - 3*a + 56 = b. Solve 3*g - a = -2*d, d + 3*d + 12 = g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 45. Let y(o) = -40*o**v - 4*o**2 + 4 + 41*o**3 - 2*o**2 - 7*o + 4. What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2083 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0 + 0*q + 0*q**4 + 77\/6*q**3 - 32\/15*q**5 + 132*q**2. Differentiate g(d) with respect to d.\nAnswer: -256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 5. Let q be f(-5). Suppose 0 = 4*d - q*d - 20. Suppose h + d - 15 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 - 111. Sort 0, 1, h, 4 in descending order.\nAnswer: 4, h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 173*z**5\/20 + 79*z**4\/12 - 134*z**2 + 2*z. Find the second derivative of s(m) wrt m.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*981.\nAnswer: 9810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1355966348 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 26. Let n(f) = 3*f - 62. Let k be n(19). Let z = k - g. Solve 0 = r - z*r - a + 28, -3*r = a - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and -5 + (-68)\/4*-5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2785159 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 3 + 2)*(0 - 3*q + 0) + 0*q + 0*q - 2*q - q + q + q)*(-11*q + 32*q - 4*q) to the form l + g*q + k*q**2 and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 3. Suppose -m = -s*w - 136, 4*m + 3*w - w - 558 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570*o = -578*o + 67864. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 6*a - 20. Let s be d(9). Let y be 1*s*((-8)\/2)\/2. Find the third derivative of y*n**2 + 24*n**6 - 49*n**2 - 46*n**2 wrt n.\nAnswer: 2880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:06 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 67*i - 329. Determine y(-43).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2540 + -1770. What are the prime factors of d?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 207, -4, -2.\nAnswer: -4, -2, 0, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = u + 20, 7*w - 5*w + 10 = 3*u. Suppose 8 = -2*r, u*r - 3184 = -4*x - r. What are the prime factors of x?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((6\/(-4))\/(12\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12684 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = 1. What are the prime factors of ((-4)\/5)\/(j\/55)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 276 = -213 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2329307 and -112.\nAnswer: 260882384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = c + 16, -5*b + 163 = 5*c + 103 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2 = 5*q. Sort -4, q, 6, 5 in ascending order.\nAnswer: -4, q, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 12. Let x be 15*-1*(5 + -6). Do x and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.33973946 + 37.66033454. Let o = -38 + a. Round o to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 31 - 33 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*y + 6 - 6 in the form v + s*y and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**3\/5 - 2137*h**2\/5 - 57138*h - 71289\/5 = 0.\nAnswer: -267, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**2 - 4*y**2 - y**2)*(-20 + 39 - 24).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 6*f**2 - 7*f - 2. Let y(z) = -z**2 - 12*z - 37. Let o be y(-8). Determine h(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52 + -3 + (-9)\/3. Let a = 101 - k. Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950983.4 kilograms in nanograms?\nAnswer: 950983400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 9. Let k be h(10). Let g = 2.1 - 0.1. What is the third biggest value in -4, g, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42*(-12)\/(-56)*4. Suppose d + 2*n = 2*d - o, -3*n - 6 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -137796626 and -0.008442.\nAnswer: -137796626.008442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.178 - -2.822. What is the second smallest value in -1\/4, s, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - 1. Let w(y) = -12*y**3 - y**2 + 4*y + 4. What is 5*g(n) + w(n)?\nAnswer: -2*n**3 - n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 86*n + 408. Determine q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5.9355*-0.059\nAnswer: 0.3501945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245730 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-60) - (-4)\/20) + 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 2*u + 9. Let p(k) = 50*k**3 - 64*k**2 - 456*k - 354. Let y(z) = -2*g(z) - p(z). Factor y(d).\nAnswer: -2*(d - 4)*(d + 1)*(25*d + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2552014 (base 6) to base 10.\nAnswer: 139114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*v + 69. Find the first derivative of 17 + 170*f - 3 - v wrt f.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5111.189nm to meters.\nAnswer: 0.000005111189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wee when three letters picked without replacement from eeew?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6.6, 0.2, -1\/166?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*f = -10735497 + 1510758, 0 = l + 4*f - 3074919. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 1\/10, -3, -0.5, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*h - 34*h**2 - 531*h + 1071*h.\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z**2 + 13*z**2 - 16*z**2 + (-4*z + 0*z + 3*z)*(z - 3 + 3).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**5\/10 - v**4\/2 + 5*v**3\/6 - v**2\/2 + 118. Let f(x) = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2029 + -0.199. Round g to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-3)\/3) + 2. Suppose r*x + 2*v - 16 = -2*v, 2 = x - v. Let z = x + 5. Solve 2*q - 4*q = z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtc when three letters picked without replacement from ceeetftcqeqeyeteceq?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*g + h, 2*h + 3*h = 3*g + 40. Suppose 3*z = -14*z + 272. Calculate the lowest common multiple of z and (g - -1)*1*-2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -0.16. What is the second smallest value in o, 0.4, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30180375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -263 - -409. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23710 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 166\/1800 + -13 + (-2015)\/(-156). Let d = -2623\/225 - j. Calculate the common denominator of 11\/15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let q = 3525\/7 - 504. Is f at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*o = -4*a + 20, -a - 318*o = -0*a - 313*o - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.012*339\nAnswer: -4.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4661161624187?\nAnswer: 4661161624186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -19 - 5 - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.713097m to micrometers.\nAnswer: 9713097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1144 * 0.01873.\nAnswer: 21.42712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i - 2, k = -4*i - 8. Sort -5, k, 2.\nAnswer: -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 11:26 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2044 and 55812296.\nAnswer: 390686072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 8 = -3*d, 5*d + 4*m = 6*m - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-9\/5)*b)\/b)**(-1\/2)\/((b\/(b\/(b\/(b\/(b*b*b*b\/b**9)))))\/b*(b\/(b\/(b**(1\/6)\/b)))\/b*b) assuming b is positive.\nAnswer: b**(163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.625? (a) -2 (b) 4 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6)*24\/50)\/(26\/(-65))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 324 + -292. Suppose 8*j - m*j = -384. Solve -q + 5*q - j = 0, -3*u - 5*q = -23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - (-38386)\/850)\/(6\/(-5)) - (-2481)\/45.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311113 + 3?\nAnswer: 311122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -22*t + 39*t + 1 - 18*t. Let q(x) be the first derivative of x**4 + x**2 - x - 22. What is q(l) + 2*y(l)?\nAnswer: 4*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6701429 times -2?\nAnswer: 13402858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {r: 1, w: 1, p: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/4 - (4 - -5)\/9. Let f = -1.2 + 1. Let p = f - 0.8. Are p and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 2100?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 16*n + 18. Give y(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 - (0 + (-4 - 3))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 311766 and 21751674.\nAnswer: 282771762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgo when three letters picked without replacement from {o: 1, g: 2, d: 1, p: 5, f: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.028 + 0.99. What is w rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 11*n**2 - 108*n - 34. What is h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cba129 (base 14) in base 5?\nAnswer: 12143334143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(2 - 16\/4). Let f = -292 - -298. Put x, f, 4 in descending order.\nAnswer: f, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2 + 3*x**2)*(4*x - 3*x + 0*x).\nAnswer: 3*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 8a8?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*c, -3*n = -0*c + 3*c. Let i(o) = o**3 + o**2 + o + 5. Let z be i(c). Suppose 0 = -z*t + 13 - 3. Solve -5*g + 25 = 5*u, t*u + g = -0*g + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -3*u - 2*z, 265 = 2*u - z + 2*z. Let y(b) = -61*b**3 - 6*b**2 - 119*b - 116. Calculate the remainder when u is divided by y(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8*s + 540 = 0. Solve 6*l - s = 18*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 10, -11.56, 3, -0.1, -1\/31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58.7 - -59. Let a = 9.39 + -9.49. Sort a, v, -2\/9, -28 in descending order.\nAnswer: v, a, -2\/9, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 3, -17, 1\/7, -0.0601?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -21*w**5\/20 - 5*w**4\/4 + 8*w**3 - 6*w**2 + 9*w. Factor p(j).\nAnswer: -3*(j - 1)*(j + 2)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -20.5, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1326 - -26481\/20. Calculate the common denominator of z and 6\/20*194\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {v: 2, w: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l**3 - 1\/42*l**4 - 4 + 0*l + 0*l**2. Factor w(q).\nAnswer: -2*q**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -18, -13, 10, 57?\n\"Answer: x**3 - 14*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 569 - -207830.5\nAnswer: 208399.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -6 - 3. Let i be 4 - ((-3)\/f + 3). Suppose i*g + 4*g - 5*p = 41, 59 = 4*g + p. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-9 + -9) - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2166210 (base 8) to base 4\nAnswer: -2032302020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 8*t - 7. Let g be s(9). Solve 3*f + g*l - 6 = -1, 1 = 3*f + 4*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, 17 in increasing order.\nAnswer: -4, 0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.34 + -0.04. Let r = l - 0.2. Let q = 105 - 105.04. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 59*z + 526. Let i be n(-48). Sort -35, 1, 0.3, i in ascending order.\nAnswer: -35, i, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -3\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/32 + -953\/96. Find the common denominator of x and -4\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-996)\/(-798) + 2\/(-14) and 71\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095707.\nAnswer: 3, 71, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7*c - 18 = 0. Solve -128*z + 110*z - 6*z**2 - 180*z + 9*z**c + 3267 = 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36285, -36281, -36277?\nAnswer: -36273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i**2 - i - 6. Let v be z(-6). Suppose 4*j + v = 2*j + 3*f, 0 = -2*j - 5*f - 356. Let l = 245 + j. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 111451 and 111449 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 26. Suppose -x*i = -3*i - 7. Let v = i + 63. Calculate the remainder when v is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2, -524\/7, 2\/27.\nAnswer: -524\/7, -2, 2\/27, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 8*t + 9. Let y be x(7). Let z = 16 - 8. Suppose -5*g + 2*c = -13, 0 = 4*g - 6*g - y*c + z. Solve -5*i - h - 4 = 0, -3*i - h = 1 + g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21\/11 - -149\/55. Let n = -3 - -2. Which is the nearest to n? (a) 0.1 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -330 + 83484\/253. Find the common denominator of 13\/989 and w.\nAnswer: 10879","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -1233?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 10:44 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:03 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v + 6. Let h(k) = k**3 + 8 - 7*k**2 + 2 + 4*k + k**3. Let j(i) = 3*i**3 - 13*i**2 + 9*i + 19. Let f(n) = -5*h(n) + 3*j(n). What is f(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17685025583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78557.\nAnswer: 17, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6889 is divided by 71.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 628*t**2 - 3178. Let c(i) = -5*i**2. What is a(c(r))?\nAnswer: 15700*r**4 - 3178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -899, -981, -1123, -1331, -1611, -1969?\n\"Answer: -t**3 - 24*t**2 - 3*t - 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2 + 2*v - 5 + 2)*(3 - 2 + 3).\nAnswer: -16*v + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inzggzll. Give prob of sequence llz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 2*w + 48 - 35, 0*s = 5*s + 3*s - 5*w + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -94693\/127 and -746 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -0*o - 18. Put 2, 0, o, 4 in ascending order.\nAnswer: 0, 2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 2*x. Let y(w) = -w**3 - 3*w. Let n(o) = -o - 2. Let l be n(-6). Suppose 4*m = -98 - 18. Let b = m + 34. What is b*k(h) + l*y(h)?\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-5)*2 + 0. Let f(j) be the second derivative of 0 - j**2 - j + 0*j**3 + 0*j**o - 1\/20*j**5. Find the first derivative of f(i) wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -88, -96, -106?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*z + 4 = 0, -4 = -0*y + y - 4*z. Suppose -5 = k + 4*k. Calculate the smallest common multiple of -2 + k*32\/(-4) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Let c(z) = 15*z. Let r(x) = -77*x. Let l(k) = -11*c(k) - 2*r(k). What is l(a(t))?\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1819 and 1712.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 5*m - 6. Let h be c(-6). Let q(n) = n**2 - n - 2970. Let z be q(-54). Let 0*b**3 + z*b + 2\/9*b**4 - 2\/9*b**2 + h = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124701248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*6\/7)\/(188\/658)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 65 - 89)*(2*d**3 + d**4 - 2*d**3) to u*d**2 + m*d**4 + j + c*d + s*d**3 and give m.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2))**(11\/2))**(2\/83) assuming x is positive.\nAnswer: x**(11\/166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373251 is divided by 428.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 2*l**6\/15 - 4*l**3\/3 + 31*l. Find the second derivative of i(o) wrt o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*i - 3*c, 2*c = -0*i - 2*i - 4. Suppose 0 = -2*s - 3*w - 11, 5*s + w - 1 - 4 = 0. Suppose i*x + s = 4*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 183, 354, 515, 672, 831?\n\"Answer: w**3 - 11*w**2 + 197*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409668.\nAnswer: 2, 3, 7, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, v: 3}. Give prob of picking 1 v and 1 h.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from cckcckcckkkccckcccc.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3}. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 186.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*k - k + 3*m, 2*k + m - 72 = 0. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Let j(n) = 3151*n. What is j(c(a))?\nAnswer: -3151*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 + 1086*u - 1642. Give j(-273).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403822791 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 7*n**2 + n + 2. Let z be y(7). Let d = z - 13. Let k be (-1 - 1)\/(1\/d). Calculate the highest common factor of k and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3504\/15)\/((-18)\/(-45))?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1606709\nAnswer: 1606710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -539964, -539796, -539628, -539460?\n\"Answer: 168*y - 540132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 + 2*c**2 + 6*c - 3. Let f be x(-3). Suppose u + 79 = 4*v - 0*v, -5*u + f = 5*v. Calculate the greatest common divisor of 160 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**6\/144 - 8*d**4\/3 - 8*d. Let g(r) be the third derivative of c(r). Let j = 3 - 2. What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -4 (c) -0.1 (d) -2189\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-410)\/(-4))\/(7100\/(-568)))\/(1\/(-15))\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-9\/11)*l**(-1\/4)\/(l**(2\/9)\/l)*(l\/(l*l**1*l*l))**(3\/16)*(l**(3\/2)\/l)\/l*l**(-2\/13) assuming l is positive.\nAnswer: l**(-47875\/20592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 226 = 3*k. Suppose -b + 265*j - 244*j + 117 = 0, -4*j - 20 = 0. What is the remainder when k is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-138528)*-111*-247.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, -114, 4, -0.6, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 610899267*m**3 + 135119535.\nAnswer: 1832697801*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142273884*d**2 - 91647*d + 92 wrt d?\nAnswer: 284547768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8, -13\/2, 69, 2\/7, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-56) - (-934)\/14. Suppose 0*g + 2*g = 3*s + w, -4*s - 72 = -2*g. Let n = -26 + g. Solve 4*r + 0*r = -3*q + 20, n = -r - 2*q + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.17 - -28. Let f = z + 0.17103. What is f rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 12:06 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18797.\nAnswer: 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1606 in 5, -2\/11, 101?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004174 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 98081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44462 < 44463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 12. Give r(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2. Let k(t) = -92*t**2. Let g(j) = -6*k(j) + 136*o(j). Let x(a) = -a**2. Give g(x(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236*h**2*s**2 + 5508*h**2*s + 119*h*s**2 + 4*h*s - 346*h - 127*s**2 wrt s.\nAnswer: 472*h**2 + 238*h - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g*o**4 + 60*g*o**3 + 341413*g*o**2 - o**4 - 10*o**3 + 12*o**2 wrt o?\nAnswer: -96*g*o + 360*g - 24*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2606142 is divided by 868713.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 2*s - 4. Let y be v(-3). Suppose 35 = 2*z + b, -3*z + 6*z - 63 = 2*b. Let x(n) = -z - 9 + 27 + 10*n. Calculate x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 32 + 8. Suppose -5*n + 4*s = -12, 0*n + n - 2*s - 6 = 0. Suppose 3*p - 5*p = n. Solve -2*j + p*j = -t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 168 - 42 = 0. Let w = h - 46. Let y be (0 + 1)\/(w\/(-12)). Solve 14 = y*a - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or -93525\/3031?\nAnswer: -93525\/3031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3920.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -514)\/(7\/56). Determine f so that -m + 133*f + 18*f + 157*f - 4*f**2 - 52*f = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -1\/24*n**4 + 0*n + 0 - 7*n**2 + 0*n**3. Let t(m) be the second derivative of -7*m**4\/12 + 2*m. Calculate t(z(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*v - 2*v = 0, -5*v = -2*w. Let d be (-4)\/12*(w + 0). Suppose 3*q = -c - 1, -q = 4*c + 2*q - 5. Solve -z + 0*z - c = d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**3*o**3*r + 104*b**3*o*r**2 + 20*b**2*r**2 + 2*b*o**2*r**2 + 2*b*o*r - 7210*o**3*r**2 - o**2*r**2 wrt o.\nAnswer: -18*b**3*r - 43260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-3))\/((-1)\/3). Suppose 2*m + 4 = 2*h, -m = -2*h + 11 - 9. Solve -y = -w - h*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 160245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56976521.\nAnswer: 7, 113, 72031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73850 is divided by 73802.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/3, 1, 0.08 in descending order.\nAnswer: 1, 0.4, 1\/3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/28 - -1)\/(2\/35). Let b = 34 - j. What is the remainder when 9 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.33 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -3*w**4\/2 + 11*w**3\/6 - 16*w. Find the second derivative of v(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 14*w**2 + 3*w**3 - 17*w**2 - 7*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bncbjnbnnbbnnccnbn. What is prob of picking 1 n and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.044*-0.018\nAnswer: 0.000792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 104, 0.3 in descending order.\nAnswer: 104, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:50 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22627\/(-153) - (106\/371 + 33\/(-189)).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -522*j + 13. What is the units digit of r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 228*l + 3434. What is p(-96)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -13*t**5\/20 - 5*t**4\/12 - t**3\/6 + 6*t**2 + 6*t. Let o(p) = 6*p**3 + 3*p**2 - 6. Let f(u) = -3*m(u) - 7*o(u). Factor f(n).\nAnswer: -3*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(52)).\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(48) - 1*sqrt(48)) + (sqrt(48)*1 + sqrt(48))*-1)**2 + -5 + (sqrt(384) + -2*sqrt(384))\/(sqrt(64)\/(sqrt(8) + sqrt(72)))*1.\nAnswer: -16*sqrt(3) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93576 divided by -11.\nAnswer: 93576\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 + 2\/2. Let p = u + 9. Suppose 4 + 14 = 3*c - 3*w, 5*w = 20. What is the smallest common multiple of c and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n + 46*n + 5*d = 26, 0 = 5*n - 3*d + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.000116. Round y to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914*(-154)\/(-189) - 8\/(-18) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74457 + (196\/(-42))\/(7\/(63\/6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 14) in base 9?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1576862841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k + 5*s - 1987 = 36*k, 0 = 5*k + 4*s - 9977. List the prime factors of k.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 2061451.14\nAnswer: 618435.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 + 82. Suppose n - m = -6. Suppose -n*k - k = -20. Solve -3*h + 2 = -t - k, 0 = 2*t - 2*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2843 - 139304\/49. Which is the biggest value? (a) -3 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/130 and 6\/(1*-2) + (-255)\/450?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18166051 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - -4 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7169962 or -7169961?\nAnswer: -7169962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -1.08?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**5\/60 - v**4\/24 - 65*v**3\/3 - 141*v**2. Let p(n) be the first derivative of l(n). Give p(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 683786 divided by 86.\nAnswer: 7951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g + p = 56*g + 1, -2*p = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 616 + 616.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 10)*-8 + -23. Sort 6, -3, r, 1, 4.\nAnswer: r, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45439883 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 15152409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 24 = -8*w. Let c(q) = 51*q**3 + 2*q**2 - 7*q**2 - 3 - 4*q - 115*q**3 + 63*q**3. Give c(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 170*t + 1763. Let c = -8 + 16. Calculate the remainder when x(-10) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1011 + 1039. Sort 0, j, 1, 2 in decreasing order.\nAnswer: j, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 7*k - 1. Let c be -1 + (-3)\/2 + (-81)\/(-18). Suppose -4*r + 3*r = -10. Suppose c*l + r = -0*l. Give f(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + 59. What is the remainder when j is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-7 - 1)) + (21 - 13 - 21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 46. Let v = -14136\/5 + 2827. Which is the third biggest value? (a) v (b) 10\/9 (c) i (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16244 is divided by 1249.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78 and 149.\nAnswer: -11622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 + 7?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -36*l**6\/5 - 3*l**5\/20 + 2357*l**4\/3 + 2*l + 984. What is the third derivative of h(u) wrt u?\nAnswer: -5184*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/8 + 6029*g**3\/4 + 44653137*g**2\/8 + 6258325073*g + 2155041626738.\nAnswer: (g + 793)**2*(g + 5236)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 = n + 10, 0 = 3*n + 4*p - 2. Let q be n\/(-6)*2*(12 - -3). Find the first derivative of q*g + 9 + 15*g - g wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.67379 rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 195\/160*-14 + 9 - -8\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43140982.\nAnswer: 2, 19, 601, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.038 - -0.238. Which is the closest to -11? (a) 0.3 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98243 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0394 + -0.0606. Let h = 1.3212 + g. Which is the fourth smallest value? (a) h (b) 0.1 (c) -0.5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151 - -141. What is the hundreds digit of 204*((-32)\/(-20) - 4\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4406 + -1?\nAnswer: -4407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 44. Let f(n) = 3*n - 5. Determine f(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18934.2*-0.2\nAnswer: -3786.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-4 - -1) + -1 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, w: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -130351928930 - 5?\nAnswer: -130351928935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 98?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 5*h**4 + 516*h**3 + 58*h**4 - 263*h**3 - 258*h**3 as i*h**4 + w + u*h**3 + l*h + v*h**2 and give i.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9606*f - 5946*f + 4052*f in the form j*f + w and give j.\nAnswer: 7712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 846160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*b**3 + 39*b + 415 + 0*b**2 + 3*b**2 - 414 wrt b.\nAnswer: 114*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times 0.06?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - 1 - (3043\/(-204) - 5)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 + 199. Solve n = -x + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**3*n**3 + c**3 - 5*c**2*n**3*o + 7*c**2 - 2*n**2*o - 4*o wrt n.\nAnswer: -36*c**3 - 30*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.98 rounded to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61\/2 - -31. Suppose -p + 5*p = -12. What is the third biggest value in p, x, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 88 = -2*q - 70, 0 = -5*p + 20. Solve 3*h = m + 10, -2*h + q*h - 20 = 5*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10892 and 0.016.\nAnswer: 10892.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1733912012 - 4.779.\nAnswer: 1733912007.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-6 - 7 - -11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 at least 12022867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -147, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7568156 divided by -6\nAnswer: -3784078\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-180)*12)\/(8\/(-20)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.03 plus -0.2?\nAnswer: -15.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 + 1483 = 3*w. Let a = w - 418. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + f + 8 = -6*t, t + 3*f = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 28 = 5*n, -13 = 2*n + 63*f - 64*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -749 - -807. Calculate the smallest common multiple of f and 9.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 25 = -165. What is the remainder when (-70564)\/(-4071)*(-90)\/(-8) is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 35 + 34*q**2 + 21 to the form m*q**2 + i + c*q and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 876671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 169, 624, 1375, 2422, 3765?\n\"Answer: 148*d**2 + 11*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r = -49*r + 4*h - 50, 0 = 2*r - 5*h + 38. Let i(b) = -b**3 - 14*b**2 - 2*b - 21. What is i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*y + 3 = y, 5*y = 5*z - 5. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.4? (a) 0 (b) -1\/3 (c) 11607 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4573014 divided by -1137.\nAnswer: -4022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 804 = f. Let x be (-4)\/14 - (-940)\/7. Suppose -5*h + 2*u - 17 = -x, -3*h + 2*u = -f. Solve -h = -3*n - 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5911 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -6681 (c) 0.1 (d) -1 (e) -7 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201916 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 833227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*d + 141 = 65 + 59, 0 = s + d - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/7 + 394*n\/7 - 1200\/7 = 0.\nAnswer: -200, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 1. Let r(u) = -9. Let c(t) = 12. Let a(x) = -c(x) - r(x). Determine -a(k) + 5*d(k).\nAnswer: 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - f + 4 = 0, 5*x - f - 25 = f. Let m be (0 + 0 + 0)\/(-1). Suppose x*a + a - 60 = m. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1508907.91 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16265363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) + sqrt(343)*3 - sqrt(343))) + sqrt(343) + 3 + sqrt(343) - (sqrt(343) - sqrt(343)*4*5))**2.\nAnswer: 798*sqrt(7) + 123832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 10}. What is prob of sequence lqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4.3. Let i = 2.4 - -1.6. What is the closest to -2 in q, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 65 - 37 + 0*s**2 + 6*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 21*r**2 + 13*r - 156. What is b(-20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215807583, 431615167, 647422751, 863230335?\nAnswer: 1079037919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 18*z + 35. What is x(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrkh when four letters picked without replacement from urhkruhrrhrhuhr.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 578*j**4\/9 - 1394*j**3\/3 + 492*j**2 - 872*j\/9 + 16\/3 = 0.\nAnswer: 2\/17, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 94, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7 = -11. Suppose -3*p + y*p - 51 = 0. Find the second derivative of 0*k**3 + p + 3*k**3 - 17 - 5*k wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 - -211?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 4) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + v - 3)*(v + 0*v + 0*v) + (9*v + 7 - 7)*(-5*v + 3*v + 4*v + (-2*v + v - v)*(2 + 0 - 3)).\nAnswer: 37*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127919 = -3198*c + 112072 + 63819 for c.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101101110100111 - 10001?\nAnswer: 10100101101110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*d**2 + d + 23 - 81 - 4*d**3 + 0*d**3 + 58 as f*d**3 + t*d + x*d**2 + o and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - j = 2, -5*i + j = -19 + 5. What is the smallest common multiple of i and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53321024?\nAnswer: 2, 29, 28729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p + 3)*(-6 + 7 + 1)*(85 - 53 - 867 - 547 - 750).\nAnswer: -8528*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1011041185 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 129 = 29 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*r**2 - 8100*r - 90390.\nAnswer: -22*r - 8100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1169 + 1197. Let z = 15 + -6. What is the units digit of z\/(2\/(d\/3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -69598*g + 1083. Is b(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201\/2 - -103. Let m = 33\/10 - o. Let -2\/5*p**2 + 14\/5*p**3 - m + 6\/5*p**4 - 14\/5*p = 0. Calculate p.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 - y**2 + y. Calculate v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 123, 1130, 4009, 9732, 19271?\n\"Answer: 162*d**3 - 36*d**2 - 19*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1. Let l = 56 - 54. Let a(f) = -5 + f + 2*f + l*f - 6*f. Determine -a(u) + 6*p(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 18*g**2 - 38*g**2.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 547 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:44 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.99622137 - 11509.\nAnswer: -11514.99622137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 5*p**2 - p - 7. Calculate c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33397897 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 3148\/5 + (4 - 7). Let r = y - 55859\/90. Find the common denominator of r and -87\/46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*d + 118695 + 286710. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46854807 bigger than 46854807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.3. Let u = l - -0.4. Let f = u + -1. Which is greater: f or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 748 and 220?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 + 6)*(0*y + 0*y + y) - 4*y + 9*y + 32 - 3*y.\nAnswer: 16*y + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1222161*t - 26887548. What is z(22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 361*f**2 - 7728*f + 3086. Calculate x(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)\/((-3)\/15). Suppose -i - v - 45 = 0. Let h = i + 74. 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: Simplify (h*h**(-39)*h*h*h*h**0)**(1\/29) assuming h is positive.\nAnswer: h**(-35\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(5) - (-2 + sqrt(45) - sqrt(45))) + -3)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -1050215229.8318?\nAnswer: -1050215230.3318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(7\/(28\/(-36)) - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4368151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72298.\nAnswer: 2, 37, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 4*d + 60*d**2 - 100*d**2 + 3*d - 103*d**2 to x*d**2 + l + s*d and give x.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3197549, -3197550, -3197551?\nAnswer: -3197552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-49)\/(-98))\/(2\/(-16)). Let d(j) = 6*j**3 + 21*j + 21. Let q be 4\/(-14) + 290\/(-14). Let o(t) = -t**3 - 4*t - 4. Calculate a*d(s) + q*o(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-5)*70\/(-21). Suppose x*a = -3*o + 4*o - 16, 5*o - 3*a = 29. Suppose o*c - 8*c + 12 = 0. Solve -5*k - 9 = 3*v - 33, -c*v + 3*k = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9380 by 10.\nAnswer: -938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 divided by 97?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*q - 4*q + 79 + 7 - 79 + 118 wrt q?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/56319942 and 7\/96.\nAnswer: 901119072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1777 (base 8) in base 15?\nAnswer: -483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -1 + -2 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 10*l - 12*l. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 495 and 405.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 0.13.\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-24)*(1*4 - -2). Suppose -4*u + 45 = c - 6, u = -5*c + 27. Does 20 divide -3*(m + (-368)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 2*a, 5*a - 4*a - 20 = -2*r. Let w = r + -2. Let y = 15 - w. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 0 - (-21)\/3. Let r(y) = -3*y + 1 - y + d*y - y. Determine r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Let v = t + -2. Which is the smallest value? (a) 2 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -12*j**4 + 18\/5*j**5 + 32\/3*j**3 + 118 - 1\/3*j**6 + 0*j + 0*j**2. Let w(b) = 0. Calculate b.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:00 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.50112 centimeters in micrometers?\nAnswer: 675011.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1, 2, -0.07, -6\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttptddp. What is prob of picking 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (42 - (15 - -2)) + -16\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 333862712 and 12.\nAnswer: 1001588136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 5276483.\nAnswer: 5276482.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -0.4, -0.1, -281, 0.4 in descending order.\nAnswer: 2, 0.4, -0.1, -0.4, -9, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1726, 5, -5, 4 in descending order.\nAnswer: 1726, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2560320 and 4288536?\nAnswer: 171541440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -423, -424, -425, -426, -427?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -298, -443?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/60)\/(-8))\/((-8)\/(-20))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1922*k - 42841 + 42841 - 5 + 5 - 2*k - 5*k + 4*k + 0*k + (-5*k + 2*k + k)*(1 - 1 + 1) + 3 - 11*k - 3 to the form s + v*k and give v.\nAnswer: -1938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2498 and -74\/4170411?\nAnswer: 8340822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 4 (b) 5 (c) 2\/5 (d) -2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.512 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13122498 to the nearest integer?\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-3 - 1 + 5)*(50*v + 293*v - 83*v)*((1 + 1 - 1)*(0*v + 4*v - 6*v) - 5*v + 2*v + v).\nAnswer: 1040*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 84190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**4\/12 - 5*o**2. Let k(d) be the first derivative of -43\/2*d**2 - 20 + 0*d. Calculate s(k(u)).\nAnswer: -86*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + -0.1. Let k = -1.4 - j. Let r = -3110.7 + 3110.2. Which is the nearest to -5\/6? (a) -2 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1790156 - 2410.\nAnswer: -1792566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:49 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/(-11)*20\/(-6). Let p(u) = -11*u - 3. Let z be p(-3). Let i = z - g. Calculate the highest common divisor of 25 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7356 divided by 6?\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 110707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24282 is divided by 386.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 16*u = 43, 23*i + 4*i + 2*u = -2*i + 33*i - 106 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4372 is divided by 340.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246553 + -246552.9. Let f = 3764\/19 - 198. Which is the closest to -2\/13? (a) f (b) -3 (c) 0.2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*f + 1922*d**2 + 2*d*f**2 + 2*d*f - 160*f**2 wrt f.\nAnswer: 3*d**2 + 4*d*f + 2*d - 320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -203.9 times 0.16\nAnswer: -32.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 0 - 1\/2*g**4 + 1\/2*g**2 + 0*g**3 + 0*g = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*o - 33*h**2 - 3*h - 45*o wrt o.\nAnswer: 2*h**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*-1*sqrt(256) - (sqrt(256) + -4*2*sqrt(256)))\/(-6*sqrt(8)*-5*-1).\nAnswer: -22*sqrt(2)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 40*c + 3. Let y be w(20). Suppose -4 + 10 = 3*f. Let q(o) = o**y - 12*o - 58 + 10*o**f + 104 - 60. Give q(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 8*n**2 - 4*n + 18. Is 10 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -13*p**2 - 51*p + 9. Let f(s) = 38*s**2 + 153*s - 25. Give 11*a(u) + 4*f(u).\nAnswer: 9*u**2 + 51*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*f*l**4 - 3*f*l**3 - 23*f*l**2 + 61*l**4 + 2*l**3 - 1267*l**2 wrt l.\nAnswer: -3576*f*l - 18*f + 1464*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/9)*i*i**(2\/21)\/i*(i**(-1\/3)\/i)**(-35))\/(((i\/(i*i\/i**(-1\/4)*i))\/i)\/i**(-2))**38 assuming i is positive.\nAnswer: i**(11891\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 11*w**2 + 8*w - 2. Let i(x) = x**3 - 4*x**2 + 4*x - 26. Let v be i(4). Calculate y(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -5*sqrt(28)*2 + sqrt(28))\/(sqrt(16)*-5)*-3.\nAnswer: -12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 189 - 142. Let k = u - 51. Which is the fourth smallest value? (a) 2\/7 (b) 5 (c) 3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1060507 + -70?\nAnswer: 1060427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, -3, 2 in decreasing order.\nAnswer: 2, -0.27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 30 = t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = -5*s + 14*g - 48, -5*g = 143*s - 142*s - 12 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.538593 rounded to 2 decimal places?\nAnswer: 453.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1392.97371 + -1393. Round r to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -7*b**3 - 153*b**2\/2 - 240*b - 2719. Suppose w(k) = 0. Calculate k.\nAnswer: -5, -16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*s - 51, -2*m + 4*m + 3*s = 111. Suppose 3*a = 3*j - m, -5*j + j = -2*a - 50. List the prime factors of (504\/90)\/((-2)\/a).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200\/320)\/(122\/(-15616))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3238 - 861. Suppose 7*u - 3*y - a = 2*u, 0 = -5*u + y + 2379. Calculate the highest common factor of u and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 366.3 + -370. Let y = q - 0.3. Put 1, y, 0.1, 0.07 in decreasing order.\nAnswer: 1, 0.1, 0.07, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -11\/12*v**4 + 0 - 9\/20*v**5 - 10*v + 0*v**3 + 0*v**2. Find the third derivative of l(q) wrt q.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 3*n = -627. Suppose n*s - 32*s = 0. Does s = -21\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11743 + -129171\/11. What is the nearest to -0.1 in t, 2, 456, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 81*b + 3318. Give v(-41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j - 1. Let o = 1189 - 1191. Let u(s) = 12*s**3 + 20*s - 20. Determine o*u(y) + 40*l(y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f. Suppose t + 2 = -y - 2, -t + 4*y - 4 = f. Let m = -0.2 + -0.8. Which is the third smallest value? (a) t (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22878 and 744.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -48. Let g(u) = u**3 - 10*u**2 - 9*u - 22. Let r be g(n). Suppose 0*k - 5*k = -4*w + 360, -2*w + 5*k + 170 = r. List the prime factors of w.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0.354\nAnswer: -1.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, h: 7}. Give prob of sequence fh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziworwfwzwwf. What is prob of sequence zwzo?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 19*q**7\/210 - q**5\/15 - 12*q**2. Find the third derivative of r(g) wrt g.\nAnswer: 456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -7*x**6\/24 + 7*x**5\/20 - 6517*x**3\/6 + 37*x**2 - 2. What is the first derivative of n(b) wrt b?\nAnswer: -105*b**2 + 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 358 - 1788\/5. What is o in l*o**2 + 6\/5*o + 0 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:57 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-30)*((-20)\/(-24))\/((-2)\/9)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 14*x**4 - 10*x**4 + 3*x**3 + 0 + x**2 + 2 to g*x**4 + q*x**2 + f*x + b + j*x**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2\/6*(-60)\/(-38)*178\/445?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*s - 23, -2*o - 13 = -3*s - 0*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -12. Let y be (2\/(-3))\/(o\/18). Suppose q**3 + y*q**4 - 2*q**3 - 2*q**4 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + o + 13. Let h(r) = -2*r**2 - r - 9. Let x(f) = 7*h(f) + 5*y(f). Suppose 0 = -10*w - 23 + 43. Calculate x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 15*m**2 - 5*m + 43. Is j(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -98234?\nAnswer: -98234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:32 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -430.8?\nAnswer: -1292.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -6 + 18*c + 20*c - 6*c**4 + 9*c**5 + 12*c**2 + 21*c - 18*c**3 - 50*c = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7 - 5 + 1)*(-2*x + 5*x - x) + x - 5*x + 2*x)*(-1 + 4 - 2)*(-x**3 - x**2 + x**2) to m*x**3 + b*x + a*x**4 + r*x**2 + c and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-49))\/((-2)\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 + -823\/8. Let f = 21.304 + -21.2. Let i = f + 1.896. What is the nearest to 1 in 0.5, b, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4576 = 2*w, w - 733 = -c + 799. What are the prime factors of c?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (65 - 49) - 124\/(-7).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-30)\/4) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-5)*(-1)\/((-11)\/2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*g*q**2 + 2*g*q + 49*g - 3*q**2 - 4*q - 1039 wrt q.\nAnswer: -98*g*q + 2*g - 6*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 + 2*x**2 + 3*x - 2 - x**2. Suppose -22 = 2*g + 4*p, 3*g - 10 = g + 4*p. What is the tens digit of a(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.983256ns in weeks?\nAnswer: 0.0000000000001851575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -283, -246, -197, -130, -39, 82, 239, 438?\n\"Answer: l**3 + 30*l - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/(-7) - 15\/(-35). Let d(a) = -a**3 - 6*a**2 + 5*a + 2*a**3 + 5 + 0. Let r be d(5). Solve 2*j - 5*w = r, -j - j - k*w - 22 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323 divided by 1\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*j**2 - 41*j**2 - 3 - 2 + 3 + 53*j**2 - 11*j to the form o*j**2 + b*j + g and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10559852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.3437 decades to months.\nAnswer: 21521.244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142161 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/4 - -2) + 1 + 1. Solve 2*d + r = 0, 3*u + d - 10 = -d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -237\/807259 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 4. Let z(a) be the first derivative of 17*a**3\/3 - 69*a**2\/2 + 2*a + 246. Let u be z(4). Give q(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20842, -20840, -20836, -20830?\n\"Answer: o**2 - o - 20842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -119.665?\nAnswer: 115.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.9, 15, -4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from lkkllllkll.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23674.07 - -23772. Let w = -98 + s. Let p be (-2)\/4*(-4)\/2. Which is the second smallest value? (a) -3\/7 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -m + 85. What is the greatest common factor of 2173 and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 - -136.9\nAnswer: 130.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 19565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -15, -2, 1126, 32 in descending order.\nAnswer: 1126, 32, 7, 1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 9*x + 72 = -21*g + 10*g, -4*x - 78 = -2*g for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (286\/(-52) - (-25)\/5)*-175*218.\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.577209km to meters.\nAnswer: 3577.209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/81)\/g**(8\/13))\/(g*g**(-2\/7)\/g*g*g**1) assuming g is positive.\nAnswer: g**(-17354\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u**2 + 4*u + 2 + 3*u**4 + 2*u**2 - 12*u**2 - 8 in the form d*u**4 + v + h*u + q*u**3 + f*u**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/8248?\nAnswer: -1\/8248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4*q - 2, k - 25*q + 5 = -27*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8631954.999993 + 8631963. Let t = -7.6 + -0.4. Let h = b + t. Round h to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3)**(-2\/35)*(i*i**31*i*i)\/i*i*i*i**(9\/4)*i*i assuming i is positive.\nAnswer: i**(5463\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(243) + (-1*sqrt(75))**2 + -2.\nAnswer: 18*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -40*j + 80. Let o(h) = 8*h - 16. Let q(u) = -4*c(u) - 22*o(u). What is the hundreds digit of q(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712335 is divided by 247.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 36928590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y. Suppose 5*b - 2*i + 0*i - 21 = y, 5*b = -i + 27. Suppose b*h = 4*h + 33. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0 - 1\/12*m**4 + 0*m - 2\/3*m**3 + 42*m**2. Let o be i(-3). Solve 0 = -o*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.7 * 36\nAnswer: -349.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17151 and 5717.\nAnswer: 17151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (3 - 0) + 245. Let a(f) = -124*f - 117*f + q*f - 171*f**2. Let u(j) = -2*j. Give u(a(z)).\nAnswer: 342*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94243 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010390 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -35. Solve -5*i - 2 = z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -245*a**5 - 525*a**4 + 4890*a**3 + 8170*a**2 - 25125*a - 28125 = 0.\nAnswer: -25\/7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiz when three letters picked without replacement from {o: 2, z: 1, r: 2, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25189*o**5 - 2*o**4 - 361*o**3 - 770*o - 5949 wrt o?\nAnswer: 503780*o**3 - 24*o**2 - 2166*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3971 + 1331 = -4*k. Suppose -v + 151 - 19 = 2*r, 3*r = -5*v + k. Suppose 0*o = -4*o + v. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 17 = 2*z + 3*y, 4*y = z - 45. Suppose -4*v = s - 22, 2*s = -0*v - 3*v + z. Solve -4*b + 2 = s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-1\/2)*a**(-7)\/(a*a*(a**(-8)\/a)\/a*a))**(21\/5) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 257634 and 16882.\nAnswer: 5925582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 177164.7 kilometers in centimeters?\nAnswer: 17716470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1 = 3*c, -5*i + 3 = 2*c - 13. Solve 2 - 4*o**2 + 4*o**c - o**3 + o**2 - o + o**4 - 2*o**3 = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 9) to base 8.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o + 8. Let w(j) = 6*j - 7. Let s(m) = 3*i(m) + 4*w(m). Let a(k) = -18*k + 9. Let q(x) = -3*a(x) - 7*s(x). Determine q(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6 + 9, -13 = i - 3*y. Suppose 293 = 48*c + 101. Suppose -i*k - 341 = -c*k + 3*o, k = -3*o + 184. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 3:15 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20647 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4618 + 8775. Calculate the remainder when u is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+-361\nAnswer: -360.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/7910 and 89\/20566?\nAnswer: 102830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3234497?\nAnswer: 7, 79, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59.31 + 59. Let r = y + 0.3. Let w = r - -0.009926. Round w to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 4\/8)\/((-1)\/(-14)). What is the second derivative of g - r**3 - 19*r + r**3 + 17*r - 3*r**5 wrt r?\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106*(-3)\/8 - 12166\/4424.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x - 48. Let k be z(5). List the prime factors of (714 - k)*(-8)\/(-24).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47664145*q*v - 142974916*q wrt v.\nAnswer: -47664145*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19146, -38294, -57442?\nAnswer: -76590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20096 - 20105 = -2*i - 3*i - 2*b, -3 = i - 2*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 1*(3 - 20). What is p in p**2 + 3*p**2 - 9*p + 5*p - 12*p - j = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4*(g\/(g**7*g))\/g*g*g*(g**(-6)*g)\/g*g*g*g**(1\/2)*(g**(-1\/4))**(32\/5)\/((g**(-1)\/g*g)\/g)**(-5\/9) assuming g is positive.\nAnswer: g**(-739\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aa + bd2d?\nAnswer: bc73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/6)\/(-10*(-26)\/(-975)). Solve z*r = -x - 20, 4*r - 10 = 3*r - 3*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*k**3*l**3 - 5*k**3*l + k*l + 147*l**3 wrt k.\nAnswer: 180*k*l**3 - 30*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.8. Suppose -51*g + 147 = -2*g. What is the biggest value in g, q, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 5*n - 10. Let m be 28\/(-16)*4*1. Let d be g(m). Let p(k) = 6*k - 3. Let c(q) = 5*q - 4. Let w(v) = -3*c(v) + 2*p(v). Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 529.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2\/21 + 16211380*b\/21 - 16211386\/7 = 0?\nAnswer: -8105693, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -25, 3, -230 in decreasing order.\nAnswer: 3, -2, -4, -25, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4592.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17278 - 15?\nAnswer: 17263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-150)\/18)\/(-5). Suppose 0 = -5*h + 4*n + 1457 + 1015, 5*h = -t*n + 2445. List the prime factors of h.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**8\/420 - p**4\/12 - 5*p**3\/3 - 7. Let l(o) be the third derivative of a(o). Differentiate l(h) with respect to h.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 21. What is f(-7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9729874 and 574.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k + 0*k + 3*k)*(10 - 7 - 6) + 4*k + 0*k - k in the form g*k + i and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641171585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14346 or -13852?\nAnswer: -13852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*2*3\/12. What is the remainder when 46 is divided by (10\/b - -2) + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 1247 + 3073. Let t be (s\/42)\/9*-1*7. Suppose 6*f = t*f - 788. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/24 - (150\/(-24) - -6). Let x = -11 + 8. What is the closest to s in 2, -0.2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4696 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -64\/167 (b) -4 (c) -10\/37 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**2 - 1 + 4 + c**3 + 6. Let w(f) = f**3 + 8*f**2 + 8. Determine 6*o(k) - 7*w(k).\nAnswer: -k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 7*w**6\/3 - 32*w**5\/5 - 17*w**4\/2 + 68*w**3\/3 + 20*w**2 - 16*w - 805. Solve t(c) = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*v + 29353 - 6908 = 2306 - 25482 for v.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z, -2*l + 4 = -l + z. Suppose -5 - 28 = -3*x + l*h, -2*x + 22 = -5*h. Find the second derivative of 0*b + b - 92 + 92 + x*b**5 wrt b.\nAnswer: 220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.77 - 0.23. Let a = 0.14 - 0.54. What is the smallest value in n, 5, a, 5\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*m**3*p + h*m**2*p**3 - 9*h + 3*m**3*p**3 - 3*m**3*p + m**2 wrt p.\nAnswer: 6*h*m**2*p + 18*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (sqrt(208) - (sqrt(208) - (-3 + 4 + sqrt(208)) - sqrt(208) - sqrt(208))**2).\nAnswer: -833 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8113?\nAnswer: 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 7*i + 2. Let y be h(7). Suppose -y*q = r - 6, 4*q = 2*q. Suppose 0 = r*u - 3*u - 39. What is the highest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 2*c**5\/5 + 5*c**4\/2 + 4*c**3 + 406. Factor a(s).\nAnswer: 2*s**2*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 663 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 113 + 5*d - 121 - 259.\nAnswer: 5*d - 386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1665*w - 3336*w + 1630*w.\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 13*j**2 - 21*j - 9. Let r be v(-11). Let n = 23 + r. Suppose 5*u - 106 = n*u. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(0 - 5)\/(-10). Let l(b) = -b**3 - 2*b**2 - 2. Let o(y) = 3 + y**3 - 1 + 3*y**2 + 1. Give h*l(i) - 2*o(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 - 1693338?\nAnswer: -1693337.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 3*d + 2*d - 3*d.\nAnswer: 2*d - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 4 + 0*i**3 - 473*i**2 - 2*i + 468*i**2. Determine m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7286, 5, -1, 2, 3, -4 in increasing order.\nAnswer: -4, -2, -1, 2, 3, 5, 7286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + -20.6. Which is smaller: 0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19876.7 + -0.166\nAnswer: 19876.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -149013900 divided by -6510\nAnswer: 22890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 1301*u**8\/336 - 91*u**4\/12 - u**3\/3 + 955*u**2. What is the second derivative of t(h) wrt h?\nAnswer: 26020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 5*j = 164, 6296 - 6384 = 8*c - 2*j for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11143 (base 7) to base 5.\nAnswer: -42244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n = u + 21, 0 = -3*n - u + 14. Suppose 3*r - 650 = 2*w + 3437, 4*w - 6797 = -n*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10814831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssesssssssssssseesss. What is prob of sequence see?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2038.5 times -116?\nAnswer: 236466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y + 0 + 0 + y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 3, a: 3, o: 1, u: 2}. Give prob of sequence yaaa.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.531546um?\nAnswer: 0.000004531546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35224484 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22787 - 120217 = 5751*z + 160031 + 104852 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 16. Suppose 380 = 3*g - v*n - 0*n, 2*n + 126 = g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 4*f)*(0 + 0 - 5*f + (-3 - 2 + 3)*(0*f + f - 2*f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x - 3. Let f(h) = 18 + h - 39 + 20. Let w(q) = -d(q) + 3*f(q). Let b(o) = o**2. Determine w(b(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -132 - (-189 + 88) - -112\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48022)\/(-182) - (-1)\/7. Suppose -152 + z = d. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -351.8 and -0.12.\nAnswer: -351.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((-24)\/(-20)) + 17. Suppose -14*i = -11*i + l. What are the prime factors of (3 - (-598)\/4) + (-2)\/i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7833516 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 -107 divided by 1?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12\/15*(-2385)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4445000 to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - b - 86 = 0, -4*w + 9*w + b = 130. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479840069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-31 + 682)\/(0 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10004635 and -10004637 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5856.35 and -45.\nAnswer: 263535.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 = 4. Let d(o) = -6*o**4 - o**3 + 6*o**2 + o + 7. Let x(z) = -2 - 2*z**4 - 8 + 12 + 0 + 2*z**2. Let j(k) = w*d(k) + 7*x(k). Factor j(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4738.7 + 4340. Let r = m + 399. What is the closest to -2\/7 in 1\/11, 1\/8, -3, r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1202, -1203, -1204, -1205, -1206?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 3*l**2 - l. Let x be t(2). Let u = 7\/454 - -1781\/2270. Let -2\/5*g**x - u*g + 0 = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {g: 1, y: 2, n: 5, v: 1, t: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/(a\/a**(-3\/7))*a**(4\/7)*a**(-2\/7) assuming a is positive.\nAnswer: a**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.33 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 4*f - 11. Let g = -18 - -11. Let p be n(g). Solve 2 - p = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 160*y - 168*y + 440. What is the highest common factor of 352 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -n. Determine t so that -12 - 15*t**2 + 24*t + 17*t**2 - 10*t**2 - 7*t**2 + n*t**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1397)\/(-3) - (-70)\/(-105)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44.75 and 0.2.\nAnswer: 44.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -427, -746, -1157, -1690?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 55*s**2 + 470*s - 10. Determine q(11).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-27) + 196\/357.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 8*c**2 - 79*c - 329. Give g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Suppose 0 = 5*o - 4*f + 30, 4 = -2*o + a*f - 6. Let s = o - -17. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95172a + -46?\nAnswer: -951775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(-2\/75)\/(y**0*y)**(-21)*(y**5\/y*y*((y**(-2\/7)\/y*y)\/y*y)\/y)\/(y**(-3)\/(y\/(y*y**2\/y)*y)) assuming y is positive.\nAnswer: y**(29093\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -5. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65083.8 tonnes to milligrams.\nAnswer: 65083800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**6\/150 - 18*b**5\/25 + 76*b**4\/15 - 5562*b. Determine m, given that s(m) = 0.\nAnswer: -76, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4532 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 12*x**2 - 24976*x - 299718. Give t(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*l - 946 - 652 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 18.2298?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2732 - 2.2232. Which is the third biggest value? (a) 1\/5 (b) -54 (c) -4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/17 in -0.09, -0.5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 9*s**2 + 10*s + 1. Let x be w(-8). What is the remainder when (-1)\/(-3) - 220\/x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*g = -117*g + 367*g - 127*g - 156 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 5. Let x be (1\/(-1))\/((-2)\/4). Let r be 3 + 1\/(x\/6). Calculate u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 35 + 35. Solve k = -4*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*y + 81331, -47*y + 48781 = 3*a - 45*y. Does 139 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 30. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-1\/4)))**(-1\/7)*x**(-1\/3)*x**5)**(1\/39) assuming x is positive.\nAnswer: x**(395\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1718946 - 2?\nAnswer: -1718948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2368 + -2184. Let k = 506 + -322. Is t at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 51*o - 24. Suppose 2*u - 202 = -194. List the prime factors of a(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -7*w + 1634. Calculate the least common multiple of w and 828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((2 - 4\/2)\/(-4) - -1)*351 is divided by 346?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 + 5*j**2 - 105*j + 1049. Determine h(8).\nAnswer: 2065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - 7?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3497350 and 72320?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -7. Let r = w + -17. Let q(z) = -z**3 - 7*z**2 - 5*z - 6. Let h(u) = -3*u**3 - 15*u**2 - 9*u - 13. Let t(l) = r*h(l) + 5*q(l). Calculate t(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 0 + -10 + -1. Find the common denominator of -37\/11 and 11\/11 + (-74)\/c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**1)))**28\/((a*a\/a**(-1))\/a**2))\/((a**4\/(a**(-2\/5)\/a))\/((a\/(a\/(a\/(a**(-4)\/a))))\/(a\/(a*a*(a*a**4)\/a)*a))) assuming a is positive.\nAnswer: a**(298\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9*k + 1. Calculate r(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 7*f - 2. Let c(w) = -2*w + 9. Let a be c(6). Let m be x(a). Suppose 0 = -m*l + 4*l + 174. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 31249, -615 in descending order.\nAnswer: 31249, -1, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**3*u**2 + 58*s**3*u*z + s**3*z - 2*s**2*u**2*z - s**2*z + 499*s*u**2*z + 6*u wrt u.\nAnswer: -2*s**3 - 4*s**2*z + 998*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 2)*1*1. Let p = 4 - -1. Let j = v + p. Solve -3*b + 6*g = g + j, -g = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -4) + 2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52298 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23044314 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*g, d + 3*g + 2 = -2. Let j = -44888 - -44892. Solve -j*n + d = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 6)*(-3 - 1 + 5)*(-9*y + 5 + 0 - 3) as w*y + s and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 3. Let w = -19 - -18. Let c(o) = o - 1. Let j(k) = w*x(k) - 2*c(k). List the prime factors of j(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123.4348+11838955\nAnswer: 11839078.4348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, 15, 357, 1095, 2361, 4287, 7005, 10647?\nAnswer: 15345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 732941 to the power of 1\/2, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/28*2\/4. Let z = 13\/4 - 3. Factor q*h**3 + 0 + z*h**4 - 1\/4*h**2 - 1\/4*h.\nAnswer: h*(h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 6632*m + 6698*m - 6.\nAnswer: 66*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*h + 60. Let j = 20 - h. Suppose j = 3*b - b. Solve b - 3 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -18*p + 32. Let d be (-2 + 36\/20)\/(p\/(-10)). Sort d, 3\/5, 3.\nAnswer: 3\/5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14313 (base 5) to base 8.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824912 is divided by 637.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 124 + ((-28)\/(-70))\/(2\/(-30)). Suppose 0 = 29*j - 114 - u. Solve j*k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1546*((-132)\/33 + (-7)\/(-2)). Let k = -1547\/2 - l. Which is the smallest value? (a) k (b) -5 (c) -1\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 267*x**4\/4 - x**3\/3 + 7*x**2 - 17*x - 1695. Find the third derivative of a(u) wrt u.\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7626741.07 minus 58?\nAnswer: -7626799.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 5, t: 2}. Give prob of picking 2 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2623 = -5*o - 5*n, 5*o + 4*n = 6600. Suppose -5*j = 3*f - 343 - 445, 0 = 5*f + 3*j - o. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210182*h**3*i - 74997*h**3 + 48*h + 3*i with respect to i.\nAnswer: 210182*h**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:20 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59540 or 59564?\nAnswer: 59540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -17*y + 2. Let g be i(1). Let f = 113 - g. Suppose f = l + 3*l. What is the greatest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.635 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from nwwnwnwnwnwnnwwnnwww.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - d**2 + 47*d**3.\nAnswer: 47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1094150*z**5 - 2522*z**2 - 6*z + 6.\nAnswer: -65649000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:15 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13841 or 13698?\nAnswer: 13841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(15\/5*(-5)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*s - 15980015 = s, s = n + 15980005. Round n to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -100*m + 1337. Is 31 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w**2 + 373*w - 4. Let j(r) = 17*r**2 + 382*r - 6. Give -3*b(n) + 2*j(n).\nAnswer: -2*n**2 - 355*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g + 2. Suppose 62*y = -16*y - 968 + 110. Let h(m) = 15*m + 5. Let b(c) = -91*c - 30. Let j(q) = -6*b(q) - 34*h(q). Give y*n(v) + 2*j(v).\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c, -5*k = -4*c - 21750. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 13.4. Let y = 378.9 - 379. Put 76, s, y in descending order.\nAnswer: 76, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akd when three letters picked without replacement from {d: 1, p: 1, a: 1, k: 1, t: 1, u: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -13 + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 230 = 222. Suppose x = 2*b + 909, 4*x - u*b = b + 3627. Is 50 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(0 + 3) - -5. Suppose -7 + m = r. Is 5 - 6 - (r - 30) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22.3 and 1389753316.\nAnswer: 1389753338.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-8)\/(-21 + 13). What is the biggest value in -0.8, 5, 2, f, 5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 7:27 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4770 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -49. Let b(g) = g**2 + 3*g - 50. Let h be b(-7). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/5)\/((-4)\/(-300)*-3). Suppose d*m - 2476 - 11004 = 0. What are the prime factors of m?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-4 + 7 + -8) - (-7 - -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*q**6 - 3*q**5 - 48*q**3 - 29*q**2 + 2*q - 7.\nAnswer: 1440*q**3 - 180*q**2 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23011.78 + 140.17.\nAnswer: -22871.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1767, -3508, -5223, -6912, -8575, -10212?\nAnswer: -11823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a year in months?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, z: 3}. Give prob of picking 1 z and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3445 (base 16) to base 3\nAnswer: -200100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1345, -1346, -1347, -1348, -1349, -1350?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -271 = -271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5911640836?\nAnswer: 2, 29, 50962421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 91.9. Which is the nearest to 0? (a) 0.5 (b) -4\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*j - 30, 9*u + 3*j - 3 = 6*u. Solve -9 = u*w - x, 5*x + 1 = w + 2*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 648298, 648190, 648010, 647758, 647434, 647038?\n\"Answer: -36*c**2 + 648334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54567131 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/5 + 157032\/90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*n = -l - 1660, 2*n - 16*l + 72 = -20*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6341343 or -6341354?\nAnswer: -6341354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854286044.\nAnswer: 2, 37, 5772203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 9*t - 10. Let f be o(-7). What is the biggest value in 1, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 8*g**2 + 7*g - 7. What is z(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 0 + (-12 - -9) + 4418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t + 0*t)*(6 - 6 - 27 - 2 - 2 + 5 - 2 + 6 - 2 + (-3 + 5 - 4)*(0 + 1 + 1) + 0 - 2 + 4).\nAnswer: -52*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/108 + d**5\/15 - 11*d**4\/108 - 4*d**3\/9 + 235*d**2. What is i in t(i) = 0?\nAnswer: -4, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -3*g + 9, 4*g + o - 7 - 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 + 27 - 27 + (1 + 2 - 5)*(3*p - 2 - 6*p + 1)*(-22*p**4 - 13*p**4 + 14*p**4).\nAnswer: -123*p**5 - 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 41.2. Let s = 0.2 - r. Let c = 2553 - 2557. Sort c, s, 4 in decreasing order.\nAnswer: 4, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 3*m - 1. Let i(t) = t**2 - t + 1. What is -2*i(u) - q(u)?\nAnswer: -u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 + -6.52. Round h to 1 decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 705*b - 1411. Let q be w(-2). Solve -q*i = 17*y - 15*y + 17, 5*y + 14 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572452 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**3 - 6*f**2 + 6*f - 1. Let t(w) = 7*w**3 - 11*w**2 + 11*w - 1. Suppose 2*j = -12*j - 84. Let k be -4 + -1 + j + 0. What is k*r(h) + 6*t(h)?\nAnswer: -2*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + o + 1. Let t(q) = q**3 - q**2 + 11*q + 8. Let z(u) = -6*l(u) + t(u). Let g be z(-3). Solve g*m - 18 = 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s - 27*s - 95*s - 2 - 88*s - 65*s + 185*s.\nAnswer: -132*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -12404\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/4 in 185, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 5*n = 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24635.74 days in milliseconds?\nAnswer: 2128527936000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 36 = -15*m - 30*y, -24 = 2*m - 2*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-88)\/154)\/((-2)\/(-7)). Put -1, -2\/11, 1, x in descending order.\nAnswer: 1, -2\/11, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-58)\/22 - (-2 + -2) and 67\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 + -8 - (3 - 12) - 18) + 52\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2613 > -2613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1605 - -1640 - (-2 + 1)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3 - 2, -262 = 4*i - 2*p. Let c = 69 + i. Solve c = 6*x + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(3)*-3 + sqrt(24)\/sqrt(128).\nAnswer: -71*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 303 + -302.8. Let o = 0.38 + -0.3. Let p = o - 4.08. Put r, p, 5 in decreasing order.\nAnswer: 5, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/560 - (-514)\/(-16)) + -2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3\/5 + 416498868*u**2\/5 - 14455942253773452*u\/5 = 0.\nAnswer: 0, 69416478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 - 0.355.\nAnswer: -26.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 4*c**2 + 3*c. What is x(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37729726.\nAnswer: 2, 673, 28031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -33 - (9 + 10) - -16\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-12))\/(2 - (-323)\/(-136))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5429 + -5428.9994889. What is n rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7958*c**2*s**2 - 2*c**2 + c*s**2 + 4*c + 65*s wrt c?\nAnswer: -15916*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 - 0.19. Let w = -0.4 - -0.3. Put 0.5, w, c in descending order.\nAnswer: 0.5, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u + 2. Let a(s) = -10*s**2 - 2*s + 4. Determine 2*a(j) - 5*o(j).\nAnswer: -15*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403591807 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/2576 and -30\/604051?\nAnswer: 222290768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 181 = 88. What is the lowest common multiple of u and 15?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 1494 + -8 + (12 - -4). Calculate the highest common factor of 963 and f.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (54\/44*-4)\/(-5). Let r = -2138\/385 + b. Let a = 6964 - 6970. Is a at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7064 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159581 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18550*i**2*q + 117*i**2 + i - 15 wrt q?\nAnswer: 18550*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 167828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.297 * -0.06.\nAnswer: 0.01782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 3*p. Suppose 5*l - p*l - 15 = 0. Put 3, 1, l in descending order.\nAnswer: l, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -34849.9 to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3258*b**3*k**2 + b**3*k + b**2 + b*k**2 + 10379*b wrt b?\nAnswer: -19548*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3816846425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-18))\/(-1)*104\/((-5200)\/(-450)). Factor 52\/5*u + 338\/5 + 2\/5*u**k.\nAnswer: 2*(u + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/303077576 and -7\/540888?\nAnswer: 909232728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1734964*w**2 + 1803305*w?\nAnswer: -3469928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 5*d**2 - 6*d + 1. Let h be k(4). Which is greater: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244916757 divided by -3.\nAnswer: 81638919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*a**4 - a**2 - 23 + 21 - 633*a**3 + 634*a**3 to j*a**4 + d + b*a + o*a**3 + i*a**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**3 - 2*o**2. Calculate l(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djkddduddddudk. What is prob of picking 1 j, 1 d, and 1 u?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.5, -3, -0.047 in ascending order.\nAnswer: -3, -0.047, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 1. Let b(j) = -j**3 - 5*j**2 + 7*j + 9. Let k be b(-6). Suppose -k*w - w - 24 = 0. Let p(g) = -8*g + 5. Determine w*q(i) - p(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9870*h - 9884*h + 112 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1743089606*n**2 - 871544807*n**2 - 871544807*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b + 3*b + 2*b)*(1 + 5 - 5) + (-3 - 4 + 6)*(4 - 4 - b)*(14 - 9 - 2))*(-3 + 4 + 2).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 32. Let r be ((-9)\/1791)\/(q\/10). Let p = r - -16437\/1592. Calculate the common denominator of p and -145\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -24. Let f be (-5 + h)*(-63)\/84. Suppose 5*i - 162 = f*j, i + i - 2*j = 68. Solve -3*m - 2*m = -4*n - i, m - 17 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/81 and 22\/63.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*r + 488 = -0*c, 2*r = 4*c - 488. Suppose g - c = 38. Calculate the highest common divisor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7231.245 to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*n + 48 = -204*n. What is the fourth smallest value in 0.2, n, 1\/2, -122?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 14) + 18 - -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/161 (c) -247\/6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a + 8. Let i be (-5)\/2*a\/2. Let k(o) = o**2 - 45*o - 90. Let n be k(47). Solve -3*c + n = i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3770607012 + -25.8?\nAnswer: 3770606986.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -3, 34, 8.\nAnswer: -3, 0, 1, 8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - -2 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1848279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*n - 1060 = 872 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a week in minutes?\nAnswer: 13860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/3 and (-21)\/(-9)*(-18)\/29.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/171 and -50\/23787?\nAnswer: 451953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1719442741 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/395 and 59\/960695.\nAnswer: 75894905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7. Let h(f) = 5*f + 2 - f**3 + 2*f**3 - 2*f**3 + q + 5*f**2. Calculate h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 57*b - 630. Determine w(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 2*y**2 + 3*y. Let c(s) = 12*s**2. Let x(i) = 25*i**2. Let t(d) = -13*c(d) + 6*x(d). Give t(q(o)).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 369877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 4*a + 7, -4*x + 4 = 12*a - 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64964 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*q - 168*q - 1170 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -2897*s**5\/15 - 125*s**4\/4 - s**2 + 178. What is the second derivative of u(d) wrt d?\nAnswer: -23176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + 0*y**2 + 4*y**2)*(0*y + y - 2*y) + 0*y**3 - 4*y**3 + 0*y**3 + (26*y**2 + 139*y**2 - 31*y**2)*(-4*y + 3*y - y).\nAnswer: -270*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1632)\/(-36))\/17*6\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 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 o(i) = 17*i**2 - 12*i + 13. Give o(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 1.8. Let p = 0.02 + -0.42. Which is the smallest value? (a) 3 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 - 3608*v**2 + 3607*v = 0. Calculate v.\nAnswer: 0, 1, 3607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2049 - -2190. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000093 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 330*a**3 + 47*a**3 - 18*a**2 + 150*a**3 - 13*a**3 - 29*a - 7. Let w be k(-11). Round w to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (-36 - -59) - 24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:56 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**7\/280 - n**5\/120 + n**3 + 1. Let c(b) be the third derivative of g(b). What is the second derivative of c(x) wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*m - 0. Is 1 - ((-1 - 2) + 754\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 11) to base 2.\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40.7 and -0.72.\nAnswer: 29.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -1198\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, -1, -1, 11, 41, 95, 179, 299?\n\"Answer: s**3 - 3*s**2 - 4*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*27\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -657848790 or -657848788?\nAnswer: -657848790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q - 16. What is the highest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 174.\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 5*w - 12. Let r(o) = 5*o**2 + 11*o - 25. Let p(m) = 7*d(m) - 4*r(m). Let k be p(8). Solve 3*a + k = -7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-15 - -2) + -421 + 417?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*i + 84 = -2*i, -5*i = 2*d - 21. Let l be 3*2\/18*9. Let q = l - -7. Calculate the remainder when d is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (7 - ((0 - -3) + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*l + 82. Which is the closest to 1? (a) 2\/21 (b) -0.055 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.16, -3, 1\/4 in decreasing order.\nAnswer: 2, 1\/4, 0.16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.54 + 4.64. Let h = 3.7 - t. What is the closest to -1\/2 in -3, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4\/13, -2\/3745, -0.1, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 92*p\/13 + 90\/13.\nAnswer: 2*(p - 45)*(p - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3659776.\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 14 + 377*m - 50 as c + g*m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d*f**3*z**2 + 2*d*f**2*o + 4*d*f**2*z - d*f*o*z**2 - d*f*z + 4*f**3*o - 3*f**3*z**2 + f**3*z wrt z?\nAnswer: 10*d*f**3 - 2*d*f*o - 6*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13531685 to the nearest integer?\nAnswer: 3679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142967?\nAnswer: 11, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24969 + -45896. Let w = -376793\/18 - y. Find the common denominator of w and 89\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/((-24)\/416). Let y = n + -16. What is the greatest common divisor of y and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -1.1. Let k = -3.8 + -1.2. Which is the closest to -1\/6? (a) y (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87042000 rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h**2 - 5*h - 4. Let b be x(-4). Suppose b = -3*u - u + 852. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 3.07. Let p = -1248 + 8739\/7. Let b be ((-8)\/50)\/(4\/10). Put b, t, p in decreasing order.\nAnswer: t, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/50, -3, -2\/3?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, -1, 2\/7, 3\/4 in increasing order.\nAnswer: -1, 2\/7, 3\/4, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4644 by 516.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-370)\/450 + 18\/30?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 1716*f + 368082.\nAnswer: 2*(f - 429)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(9\/4)*h**(-1)*(h\/h**(-1))**24 assuming h is positive.\nAnswer: h**(201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 3*s**2 + 3*s - 1. Suppose 0 = -3*a - 6 - 6. Let m be x(a). Suppose 0 = -12*y + 7*y + 15. Solve -20 = 3*u + 4*d, u - m*u - y*d = 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 13*j - 3. Let n be i(-9). Suppose 2*p - 5*p = -n. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*x**2 - 1 + 1.\nAnswer: -207*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3\/29, 5, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 8*v**2 + 10*v + 1. Let s be i(9). Suppose -13*l + s*l = -9. Solve 0 = l*f + f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103 and 1751?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.09 + 0.09. Let k = g + 6.1. Let q = 0.1 - k. Which is the biggest value? (a) q (b) 2\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/20*36\/(-210) - (1896\/(-798) - -2).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/56*-24*(-1)\/(-12)*-30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -6, 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -101, -60, 17, 142, 327, 584?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1504, -4018, -6532, -9046?\n\"Answer: -2514*f + 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -n + 11, 5 = -2*p - 3*n + 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20649654*m**3 + 3221656*m**2?\nAnswer: -123897924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g. Let r = -6 - -7. Let k be r + (-2 + 2 - 2). Let y be -4 - (2 + (k - 0)). Give i(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 103355285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173975 is divided by 480?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 197 - 449\/2. Suppose -3*s = 4*d + 1148, -d - 2*s + 0*s = 292. Let f = 1143\/4 + d. Calculate the common denominator of f and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**4\/12 + 18*s - 2. Let q(w) = -46*w. Give q(c(r)).\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(119) - (sqrt(119) + -2*sqrt(119))) - -2*sqrt(119)*1)\/(-1*5*sqrt(700)).\nAnswer: -4*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1324 - 1325. Which is the closest to n? (a) 0.2 (b) -33 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 534 divided by -10\nAnswer: -267\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 7647 = -5*h + 23734, -3*y + 6436 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, o: 3, w: 2}. Give prob of picking 1 i and 1 w.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/125 + (-3666)\/(-1050) + -3. Find l such that -j*l + 2\/7*l**2 + 2\/7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2423 + -17?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 186. Let v be c(-52). What is the second derivative of -107*r - 59 + v*r**2 - 54 - 65 + 180 wrt r?\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3)*(130\/(-45) - -3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6*l + 12. Suppose 0 = q - 3*q + 104. Suppose 0 = -4*b - l*a + q, 3*b - 14 + 5 = 3*a. Calculate the lowest common multiple of 10 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32990*k - 32992*k + 65987*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -68. Let q = b + 2. What is the least common multiple of q and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12659, -12694, -12751, -12824, -12907, -12994?\n\"Answer: f**3 - 17*f**2 + 9*f - 12652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22071 > 205\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and -0.0901.\nAnswer: -3.7842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.02897 centuries to years.\nAnswer: 102.897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6322 = 3*z - z + 2*c, 5*z - c = 15775. Let m be (-16)\/(-12) - z\/(-9). Suppose -4*h - y + 3*y + m = 0, h = 3*y + 78. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 113775 - 8225. Round n to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.4. Let o = -0.4 + j. Which is the closest to -0.1? (a) -1\/2 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 7, x: 1, c: 1}. Give prob of sequence xrc.\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 47*q**4\/12 - 6397*q. Let a(s) = -20*s**2 + 1. Determine a(n(v)).\nAnswer: -44180*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 98 - (263 + -302).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b - 1. Let t be s(4). Let f = 13 - t. Do 11 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143181722 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -211092 divided by 864?\nAnswer: -17591\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16363 (base 16) to base 9.\nAnswer: -147717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Let u be ((-6)\/4)\/((-2)\/(-8)). Let k = -1 - u. Solve -2 = k*h + 23, -5*n = -w*h - 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1.9. Let q be 3 + 21\/(-3) - 1. Let h(z) = 2*z**3 + 11*z**2 + 6*z + 1. Let y be h(q). What is the nearest to r in 3, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*12\/24 - (0 - 8). Suppose 4*x = 4*l - 0*x - 60, s*l = -5*x + 30. What is the remainder when 73 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.1, 2, 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 + 3*a**3 - 2*a**3 + (-1 + 2*a + 1)*(27*a**2 - 92 + 92) as y*a + t + k*a**3 + f*a**2 and give k.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let z = -41.01 - -3.974. Let u = z + 0.036. Let s = u + 36.7. What is the biggest value in 1.1, 0.3, s?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0697 - 0.0307. Let j = n + -0.038999606. What is j rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 138*l**2.\nAnswer: -138*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149404877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/230, 3.7, 1\/9?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 l when four letters picked without replacement from {s: 8, l: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-92)\/20 - 3\/(-120)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -64, -216, -512, -1000, -1728, -2744, -4096?\nAnswer: -5832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.03 + 6. Let m = 0 + y. Let k = m - 0.07. Put 3, 4, k in descending order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.31 (b) -6\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 8. Solve -4*s + a = 13, 3*s + 5 = -4*a - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4379 and 466892.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express -995*k + 8612 + 8620 + 8612 + 4*k**4 - 25845 in the form j*k + y*k**2 + v*k**4 + c + r*k**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/19)\/((f\/(f*(f**(-32)\/f)\/f))\/f))**(1\/47))**1)**(-2\/127) assuming f is positive.\nAnswer: f**(1256\/113411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/4))**(-32))**(-37)\/((x*x**(-4))**12)**(-39) assuming x is positive.\nAnswer: x**(-516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 2. Let n(l) = -l**2 + 3. Give 5*d(j) - 3*n(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.306*-6.\nAnswer: 1.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39625831*m - 79251651*m + 39625825*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j + 8 = 0, 2*j = 5*k - 71. Let u be (720\/(-3))\/(k\/(-12500)). Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-24 - 3 - -95) - 11.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - 2*sqrt(133)*-4)\/(sqrt(28)*4) - (1 + sqrt(19) + (2*sqrt(19))**2 + -5 + 3).\nAnswer: -75 + sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -2 + -71 + 28 + 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 5*g**2 + 6*g + 4. Let s be i(-2). Let x(c) = 0*c**3 + 12950 - c**3 - 6*c**2 - 12949. Calculate x(s).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 652, 639, 618, 589, 552?\n\"Answer: -4*d**2 - d + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1062, 3, 2 in descending order.\nAnswer: 3, 2, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 + 3*g - 3. Let y be n(2). Let m be -2*(0 - y\/11). Let r = 4.36 + -3.36. Which is the second biggest value? (a) 0.5 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-10))\/((-1)\/2). Let p = 1 - 2. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 + i + 2. Suppose -19 = z + 3*u - 23, 10*z + 30 = 5*u. Calculate j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -19 - ((-4 - -8) + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.54 - -0.74. Let p = 0.8 + q. Let x = -2.3 + 2.1. What is the nearest to x in p, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351604 and 28182?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 t when four letters picked without replacement from {t: 2, g: 3, r: 8, k: 4}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 246 - 244. What is the third derivative of -85*i**c + i**3 - 3*i**3 + 70*i**2 - 78*i**4 wrt i?\nAnswer: -1872*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, 1 x, and 1 b when four letters picked without replacement from {c: 3, p: 3, b: 2, w: 1, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17402 and -140?\nAnswer: 2436280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfrdrfffkrkdrfdff. Give prob of picking 2 d and 2 r.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 15. Let h be 63\/14*(-4)\/j. Let g(x) = x**2 + 4*x - 3. Calculate g(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2848, 2721, 2594?\n\"Answer: -127*v + 2975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 4 = 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(4\/1)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 13*n**2 + 582*n - 5004. What is o(8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 1:17 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 2:53 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-25))\/(2\/10). Let t be m\/(-8) - (-111)\/(-12). Let h be t\/(-27)*(6 + 0). Solve -h*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.144 (b) -2 (c) 3 (d) 221 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-72)\/15)*(-3455)\/(-691)*-2?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/795 and -107\/4889568.\nAnswer: 24447840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6953, -6948, -6935, -6908, -6861?\nAnswer: -6788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 16786*d**3 - 1309*d**2. Let c(q) = -77*q**3 + 6*q**2. Calculate -1309*c(j) - 6*m(j).\nAnswer: 77*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Solve -25 = -b + 5*n, h*b + 2*n = 3*n + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.7*-1.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 97*t**2 - 5*t - 54. Let a be p(-12). Is a\/153 - (-10)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/15)\/(3\/(-10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*r**3 - 272*r**3 - 170*r**3.\nAnswer: -368*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -244, 1997 in decreasing order.\nAnswer: 1997, 7, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 11*q - 13032 = -v, 26063 = 2*v - q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*3697183\nAnswer: 14788732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29171748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 2*p**2 - 3*p. Let a be u(3). Let s(l) = 0*l + a*l - l**2 + 8*l**2. Let x(k) = 2*k. Calculate x(s(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 46. Let j be p(14). Suppose -y - j = -5*y, 806 = q - y. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6 - 20\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - s + 20 - 31 = 0, 5*s + 19 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -29. Let d be 492\/(-20) + (-6)\/m. Let n = -4 - d. Solve 5*v + n = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 28 = 132*d + o - 168, -2 + 402 = 4*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 282121561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v + 95. Let m(s) = -3*s. Calculate a(m(t)).\nAnswer: 21*t + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/30 - 25*n**4\/4 - 350*n**3\/3 - 872*n**2. Solve w(b) = 0.\nAnswer: -70, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1\/(-4)*1). Let t(j) = 2*j + j + 5*j + k*j. What is the lowest common multiple of t(1) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2287 in -8, 4, -3\/2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**8)**(-3\/8)\/(p\/(p\/p**(1\/4)))**(-25) assuming p is positive.\nAnswer: p**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3836.7 - -2149.4. Round h to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 + 5*s + 8*s - 11*s.\nAnswer: 2*s + 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 68. Suppose 40 = 5*o - 4*w, -5*o + 10*o - 70 = -2*w. Calculate the remainder when f is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 9:37 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4921*z + 93514 + 123843 = 20517 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -14. Suppose 5*a - 155 = 3*q, 3*q = 5*q + 10. Suppose -4*u - 8 = 0, -5*x = -d*u - a - 1. What is the highest common divisor of x and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:24 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3083 = -2*r + 1883, 1000 = -n - 3*r. Let x be n\/(-10) - (-4)\/(-10). Suppose -3*s + x = 3*b + s, -s - 188 = -5*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1513756100 to the nearest 100000.\nAnswer: -1513800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:05 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 13) in base 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3041 + -1557. Suppose -m - v = -3*m + 2*z, 3710 = 5*m + z. Let r = m - -163. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300306923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9aba (base 14) to base 5\nAnswer: -1324240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) + (sqrt(245) + sqrt(245) + (2*sqrt(245) - sqrt(245)) + sqrt(245))*2)\/sqrt(7))\/(sqrt(35)\/(2*sqrt(7))*1))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/18)\/(r**6*r))**(-6\/35) assuming r is positive.\nAnswer: r**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2688\/4416)\/(2\/23)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -25*s + 17. What are the prime factors of w(-12)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5742*m + 225. Is f(4) a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2145 and -1\/250679.\nAnswer: 3760185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12124 equal to -12130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-15))\/(359\/12565)*(-81)\/18.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 245\/2 (b) -48394 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 993 + -984. Let z(l) = -4*l + 33. Determine z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.4, 0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20896498087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516759250 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73207?\nAnswer: 19, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4498913, -8997820, -13496725, -17995628?\nAnswer: -22494529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1416 divided by 12\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 20. Is (-1410)\/(-12)*(p + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 4*s - 2. Let m be g(1). Let b(x) be the second derivative of 0*x**3 + m*x**2 - 3*x + 0 - 1\/4*x**4. Let p(f) = f. Give b(p(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**36)**45\/(z**(-4)*z**(-3)*(z**(-2\/5))**(-26)) assuming z is positive.\nAnswer: z**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44140442314 + 3?\nAnswer: 44140442322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65017536 divided by -48?\nAnswer: -1354532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*y - 1047 - 3966 = -266*y - 526*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*27\/1512*14)\/((-38)\/6).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780*r + 6687 = -12*r - 1233 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 102707656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 9*a**2 - a + 9. Let o be f(9). Suppose o = -2*g - 2*p + 10, 5*p - 25 = 5*g - g. Solve 5*r - r + 2 = 3*c, 5*c - 4*r + 2 = g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1567\/444 - -35\/37. Let y = r - -503\/204. Let t = 0.1 - 2.1. Which is the third smallest value? (a) t (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 27*c**3 - 3*c**2 - 4*c + 3. Let h(n) = n**3 - n**2 - n + 1. Let o(f) = 3*h(f) - y(f). Let a = 1 + -2. Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/3)\/((i\/i**(-2))\/i)*((i*i*i**(2\/23)\/i*i*i)\/i)\/i**8*(i**(-1\/3))**(-5\/4)\/((i**5\/i*i)\/i**(-2)) assuming i is positive.\nAnswer: i**(-1303\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 3489728.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13775.2753 * 2\nAnswer: 27550.5506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 5. Let t be b(7). Let d(o) = -6625*o**3. Let n be d(t). What is n rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2 (c) 0.19 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**3 + 4*f**3 + 2*f + f + 3. Let r(z) = -3 - z + 10*z**3 - 2*z**3 + 2 - 7*z**3. Let s(h) = 3*r(h) + v(h). Factor s(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/4)\/x)\/x)**(-9\/2)\/(x**(1\/2))**17 assuming x is positive.\nAnswer: x**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -411, 70, 341 in descending order.\nAnswer: 341, 70, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1776 - 12466\/7. Let b(u) = -u**2 + 7*u + 2. Let v be b(8). Which is bigger: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -3.6494.\nAnswer: -1.8247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8211*l*z**4 + 6*l*z**2 - 5487*l + 71*z**4 - 5*z**2 wrt z?\nAnswer: 197064*l*z + 1704*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(90\/(-12))*((-200)\/(-72))\/(-5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -416.1020514756 + 7?\nAnswer: -409.1020514756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 557 + 122 = 0. Suppose -c = 2*c - n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-84)*-12)\/((-12)\/840*5)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 13*m - 13. Let n(a) = 4*a**3 + a**2 - a - 1. Let d be n(1). Let b(s) = s**d - 10*s**3 + 6*s + 8*s**3 + 6. What is 13*b(r) + 6*z(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 411284.8nm?\nAnswer: 0.4112848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118246 or 118212?\nAnswer: 118212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 15*s - 125, n + 2*s - 122 + 98 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012202111 + -2002212?\nAnswer: 1010122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)\/l*l\/(l\/l**(2\/7))*l**(-7)*l**4)\/((l\/l**(2\/9))\/l*l*l*l**7*l*l**(-2\/5)\/(l\/l**5)) assuming l is positive.\nAnswer: l**(-5321\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20720 - 7099. What are the prime factors of l?\nAnswer: 53, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 78, 170, 288, 426, 578, 738?\n\"Answer: -y**3 + 22*y**2 + y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6*r + 47 = -9*r, 5*r - 15 = 0. Let l = 236 - 125. Calculate the remainder when l is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 - 27*b**3 + 6*b**3 + 4*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, i: 4, l: 2}. What is prob of picking 4 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sftfikiifk. Give prob of sequence kf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = 139*n - 128*n. What is the greatest common factor of 96 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/171)\/4*26\/52.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 2 - 9*i + 2 - 10*i**2 wrt i?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tldm when four letters picked without replacement from {l: 2, t: 2, i: 1, d: 1, p: 1, m: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 15 (b) 0 (c) 12 (d) -10 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1100) + 1 - sqrt(1100) - sqrt(1100)) + -3 + 4)**2 + 4 + -1*sqrt(33)\/(sqrt(27)\/(-2*sqrt(9))).\nAnswer: -98*sqrt(11) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 2*l**2 - l - 1. Let d be h(0). What are the prime factors of (14\/(-28))\/(d\/240)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1043, -481, -4, 1, 14.\nAnswer: -481, -4, 1, 14, 1043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 692? (a) 40 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14081*x + 28163*x - 7034*x**2 - 14082*x to the form b*x + h + f*x**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*h**2*i**3 + 17*f*h**2 + f*h*i**3 + 7*f*h*i**2 + 7*f*h - 2*f*i**2 wrt h?\nAnswer: 4*f*i**3 + 34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 458.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-3 - -2) - 2. Is n + (61 - (6 - 4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6675 divided by 401.\nAnswer: -6675\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 860*x + 756*x + 53*x - 341*x in the form u*x + w and give u.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*o + 95 + 551, 0 = z + 2*o - 325. Let q = -318 + z. Sort -83, -5, q in descending order.\nAnswer: q, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 10591 = -2951. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.7170252 minus -0.72504?\nAnswer: -111.9919852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110100100001000 (base 2) in base 9?\nAnswer: -100744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 56, 12, -60, -160?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -37. Suppose c = 4*p - 2*w - 370, 0 = 2*w + w + 15. Suppose -2*m = -8*m + p. What is the greatest common divisor of 75 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/128 and -97\/16.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 2*g**2 - 2. Let s(c) = c**3 + 12*c**2 - 9. Calculate 7*s(l) - 42*y(l).\nAnswer: -77*l**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:07 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1012)\/(-336) - 3)\/((-16)\/(-33)) and 5\/4*31*(-9)\/45.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5083*h + 16*h**3 - 2560*h - h**4 - 2550*h as n*h + i*h**2 + w + l*h**4 + p*h**3 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/22 and -113\/5870.\nAnswer: 64570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01030957 to six dps.\nAnswer: -0.01031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 40. Suppose t*b + 12 = 3*b. Suppose 7*w - b*w - 132 = 0. Is w a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -4*s + 3*i, 0 = -3*s + 5*i + 1. Let o be (-4)\/(-8)*0 + s. Suppose 0 = -b + 5*k - 2, -o*b + 12 = 2*k - 8. Are b and 8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 55 = 2*s. Let h = s + 108. Let d = h + -80. Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5da - -2?\nAnswer: -5d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 59. Let s be -3*(-2 + -1 - -2). What is the highest common factor of d and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 0.5, 7 in ascending order.\nAnswer: -5, -2, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.905569*-0.3.\nAnswer: -0.2716707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.2, -2\/5, 3, 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5302 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 14*i - 4*i**2 - 14*i + (i**3 - 3*i**3 + i**3)*(5 - 5 - 6).\nAnswer: 8*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16259 <= -0.1285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m + 80 = 5*d, 2*d + 3*m = 12. Calculate the greatest common divisor of 90 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3413 = -5*a - 13372. Calculate the remainder when 72 is divided by a\/(-135) + 2\/15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -8. Let y(d) = d**2 + 6*d - 37. Let n be y(-10). Suppose i = -2*q, -z - n*q + 23 = q. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 152, 243, 388, 587, 840?\n\"Answer: 27*i**2 + 10*i + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-6) + (3 - (-52)\/(-12)). Let u be f*3\/(-15) - 38\/285. Which is the third biggest value? (a) -0.5 (b) -8 (c) -0.2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2880?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57686*b**2 + 57692*b**2 + 57676*b**2 - 173059*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*z - 54*z - 60. Solve r + 0 = -2*d + 2, -2 = 4*r - z*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*o**2 + o - 107 wrt o?\nAnswer: 94*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + (2 - 3) + -1. Suppose 8 = -4*c, 3*c - v*c = 5*x - 139. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.785 + -1.81. Round y to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 - 3 = 0. Suppose 0 = -3*h + 3*j + 30, n*j = -5*h + 102 - 17. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1629, -6532, -14705, -26148?\n\"Answer: -1635*l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 4 + 0*y + y**4 - y**2 + 0*y**3 - 1\/3*y**6 + 0*y**5. Solve r(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g - 9. Let f(t) = -3*t - 4. Let c(p) = 7*f(p) - 4*m(p). Let w be c(6). Let b = w - -5. Solve -b*d + v + 7 = -5*d, 2*d - 2*v - 6 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/(sqrt(384) - -1*sqrt(384)))**2 - (-2*sqrt(1764))\/sqrt(7)) + -1.\nAnswer: -249\/256 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 198727823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4094707, -8189414, -12284121?\nAnswer: -16378828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 20*f + 54. What is w(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 77 - 135 = -4*o, -3*o + 124 = -4*p. Is 64 a factor of o\/(-5)*(-21560)\/294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + -9.89. Let w = 119 + -118.94. Let r = w - 0.36. Which is the closest to -1? (a) r (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 29*i = -c - 2 + 6, 3*i - 1053 + 528 + 530 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1321 or 505.4?\nAnswer: 1321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2867, 5384, 7901, 10418, 12935?\nAnswer: 15452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.1 times 0.11?\nAnswer: -2.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 17*y**2 - 15*y + 20. Let g be j(-16). Suppose -p = 5*t - 51, g*p - 4*t - 114 - 114 = 0. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -89. What is the second smallest value in n, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -44. Let i(j) = 4*j - z + 0*j - j + 6*j. Is 22 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -384617.\nAnswer: 2\/384617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -44. Suppose r = 5*t + 151. Let x be t\/40 + (-46)\/(-110). Which is the third biggest value? (a) 4 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105439040 or -1?\nAnswer: 105439040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492040 rounded to the nearest one thousand?\nAnswer: 492000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2982 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35835644 and 97669.\nAnswer: 8879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.6306+-0.11\nAnswer: -0.7406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -851, -859, -879, -917, -979, -1071, -1199?\n\"Answer: -i**3 - i - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 41. Let g(h) = -3*h - 22. Let m be g(n). Let z(i) = -5*i + 43. Let b be z(6). Solve 5*q + 4*r - 20 = 0, 0 = 2*q + 4*r + m - b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -430 + 466. What is the lowest common multiple of 26 and 1\/(15\/a - (-4)\/(-16))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d + d**3 + 7 - 7 + 2*d**3 wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1. Let k be t(1). Let y = k - -4. Suppose -3*g = -5*s + 40, -3*s - y*g + 18 = -7*g. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + f)*(5025 - 6518*f - 5025).\nAnswer: -6518*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3 + 1*sqrt(19) + sqrt(19) + -3*sqrt(1900))**2 - (-1 + sqrt(190)\/sqrt(250))*4).\nAnswer: -844*sqrt(19)\/5 + 14905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1788 - 804. Suppose 5*d - j = -2*l, -d = 3*l - 386 - 1064. List the prime factors of l.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.085 equal to 0.92064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y + 3*y. Suppose -4*r = 3*p - 12, 38 - 6 = 4*r - 2*p. Suppose -3*d = -3*g - 21, 3*g + r = -y. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 57\/2, -2\/29, 0.03, -1\/8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 97?\nAnswer: -25\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1011, 3921, 8749, 15495, 24159, 34741, 47241?\n\"Answer: 959*l**2 + 33*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 12 + t - 4 + 16 - 2*t**3 - 103*t**2 in the form m*t**3 + s + x*t + i*t**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39876\/14597 + -6\/1327. Let p be 2\/(-4) + 29162\/(-20). Let w = -1469 - p. Find the common denominator of k and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvyyyyvvvv. What is prob of picking 2 v?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 29, -4, -1, 0 in descending order.\nAnswer: 29, 8, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*u + 3972 = -0*p, 0 = 4*p - 5*u - 3153. Let n be p + 12\/4*-1. Let r = n - 304. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2200532 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39891384 divided by -293319?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083780002 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**4 - k**3 - 3*k + 1\/2*k**2 - 34. Let p(l) = -l**3 - l**2 + l - 1. Determine c(w) - 3*p(w).\nAnswer: -w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 349 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - 1.5. Let z = 1201 + -1205. Which is the third biggest value? (a) z (b) 1\/3 (c) -0.4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.67 + -0.17. Let k = q - 5. Which is the second smallest value? (a) k (b) -2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15256253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 134288, 134289, 134290, 134291, 134292, 134293?\n\"Answer: r + 134287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-5) - (-7)\/(-35). Let j be (2\/(-6))\/((-1)\/k). Let q be -3 - -3 - (j - -2). Put q, 5, -2 in descending order.\nAnswer: 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*-3*15\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 - (-4)\/(-2))*-5. Let b = -1063\/15 + 215\/3. Sort -1, 1\/2, l, b in increasing order.\nAnswer: l, -1, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -21 - (6 + -3)\/3. Let x be 8\/((-68)\/v - 3). Let g = x - 96. Is -8 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*z + 63, 446 = -z + x + 431 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(11178\/184)*(-3)\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z. Let g be ((-36)\/(-10))\/(46\/115). Let s(b) = -4*b - 9. Let j(h) = h + 2. Let x(d) = g*j(d) + 2*s(d). Calculate o(x(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44186707.\nAnswer: 44186707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12155 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -7002970?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13346810*m**3*v**2 + 11075974*m**2*v**2 - 2 wrt m?\nAnswer: 80080860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20539651321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/16)\/(71\/1136).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148763508 to the power of 1\/3, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 1\/3 (c) 1\/436 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:40 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*t = 81, 3*t = -4*c - c + 139. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -23.96. Let p = z - -0.14. What is p rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.629112651 rounded to two dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696, 698, 700?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 50 + 46 + 39 - 135. Let v(b) = 18*b**2 + 5*b. Determine -v(p) + 5*z(p).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1164, 1220, 1272, 1320?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*q = 0, -1415715*y = -1415710*y - 4*q - 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -9. Suppose -195 = -i*v + 2*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1224503 divided by 15\nAnswer: 1224503\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2516 and 884.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 4*l - 4. Let y be b(-4). Suppose 0 = -c - c + 10. Suppose -4*k + 4*n = 24, -2*k - 4*n + 6 = -0*k. Sort c, y, k.\nAnswer: y, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5275 or 5277?\nAnswer: 5277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.4, 3, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/5 + (-1)\/(-30)*6. Does 15 divide 1 - 10\/15 - (-1168)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Let b = 2 + w. Let c = 186 - 182. Put c, b, -2 in descending order.\nAnswer: b, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 4)*(-2)\/(-1). Suppose -3*n + 32 = 5*d, 3*d = -4*n + w*n + 19. Suppose 3*r - 2*v = -v + 86, -r = 4*v - d. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 7*r + 11. Suppose 0 = -3*l, -5*i - 34 - 6 = -2*l. Let o be b(i). Let u = o - -65. Put -1, u, -0.1, 0 in descending order.\nAnswer: u, 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + d)*(3806959*d + 3*d**3 + 3 + d**2 - 3806921*d - d**2).\nAnswer: 3*d**4 + 38*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 1285*q**3\/6 + 37*q**2 - 713*q. What is the derivative of i(w) wrt w?\nAnswer: 1285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33182*r**3 + 1659104*r**2 + 20738950*r + 2500.\nAnswer: 2*(r + 25)**2*(16591*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*b**4 - 92*b**3 + 21451 wrt b?\nAnswer: -132*b**3 - 276*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by -63329.\nAnswer: 1\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-28)*2 - (-437)\/(-665). What is the closest to 0 in z, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 631 from -21.\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 6*n. Suppose -3*u + n + 48 = 0. What is the remainder when 45 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*j**3 + 147*j**3 + 5*j**4 - 4*j**4 - 162*j**3 - 18*j**2 + 2 to the form p*j**2 + f*j**3 + w + u*j + g*j**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18482410813 and 12868.\nAnswer: 18482423681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and -86958073.9.\nAnswer: -86958087.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 14\/(-154)*89.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 - (0 - -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-1938\nAnswer: 1356.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/5 + 390321*j + 975803\/5 = 0?\nAnswer: -1\/2, 975803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 88. Let s be 0\/(-1) - (2 - -10). Let v be (-22)\/(-6) - g\/s. Let o(i) = i**2 - i - 4. Give o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 9*r**2 - 5*r - 19. Let m be y(8). Let h(a) = 1 + 7*a - 4 - 2*a**2 - 2. Let t be h(m). Round t to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3 - 10\/7*i + 1\/7*i**2 = 0. What is i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 + 2*f**2)*(3*f**2 - f**2 - 4*f**2) + 37*f**4 - 8*f**4 + 56*f - 57*f.\nAnswer: 25*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625490689.\nAnswer: 31, 20177119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41101523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 177565295 to the power of 1\/2, to the nearest integer?\nAnswer: 13325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 45537 and 47765 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmttmmtmtmmbtmmmm. Give prob of picking 3 m.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -19*l + 18*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10324075 - -5?\nAnswer: -10324070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 112257 - 112257.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffcccccccfccr. What is prob of picking 2 c and 2 f?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -74 - 2*o**2 + 74. Let f(a) = -a**2. What is f(m(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - 4*v + 4149. List the prime factors of q(0).\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -437*z**2 + z. Let u be w(6). Let c = u - -28026. Round c to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.989 + -15. Let l = n - -8.761. Let d = l + -9. What is d rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*1*2*(28\/4)\/14\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 630, 4, -2 in descending order.\nAnswer: 630, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)\/(5\/(-25)). Let o be m + 0 + (2 - 5). Suppose -4*l + 3*d + 6 = -2*d, 0 = d - o. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 15449686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3 - 270*x**2 - 4174*x + 4446 = 0.\nAnswer: -117, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaka when four letters picked without replacement from {q: 3, o: 2, k: 1, a: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -592, -3046, -7060, -12634, -19768, -28462, -38716?\n\"Answer: -780*g**2 - 114*g + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*o - 117*o + 335*o - 86*o - 60*o.\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m*m)**(-16)\/((m*m*m\/(m*m**(-3\/4)*m))\/m**(4\/7)) assuming m is positive.\nAnswer: m**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4) + 270\/(-40). What is the tens digit of 2\/q - 826\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -490 (b) -2\/9 (c) 3\/4 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2.4, 0.3, -1\/9, 5 in decreasing order.\nAnswer: 5, 0.3, -1\/9, -3\/2, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-3) + 2 - 1. Let u be t\/35 - 66\/(-14). Is 2 a factor of (-3)\/(-5)*u\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/1)\/(116\/(-2610)*9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 640, 890, 1144, 1402?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1128 divided by 376\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/623 and 31\/21.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**3 + 12*g**2 - 9*g + 26. Let c(j) = -7*j**3 - 11*j**2 + 7*j - 26. Let t(x) = 3*c(x) + 4*o(x). Calculate t(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-600)\/16)\/(21\/3 - (9 + 1))\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1012\/9 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q = -64. Suppose 3*m + q = 7*m. Suppose -m*b + 28 = -40. Calculate the remainder when 32 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -504. Let w = -2392 - -2581. Suppose -3*b + w = c, 4*b + 5*c = c + q. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Solve 139 = 2*z - 222 - 190 + 645 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of y**2 - 7332931*y - 18757917?\nAnswer: 2*y - 7332931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3859\/198 - -1\/99. Find the common denominator of b and -113\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 3*c**2 + 2*c + 2. Give u(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 501\/316 + -66\/79. Factor -1\/8*g**2 - d*g + 7\/8.\nAnswer: -(g - 1)*(g + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(242) + -4 + 2*sqrt(242) + sqrt(242) + sqrt(242)) - (sqrt(12)\/(sqrt(36)\/(-1*sqrt(6)))*-1 + 2))**2.\nAnswer: -9724*sqrt(2) + 98166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1713575, -3427166, -5140751, -6854330?\n\"Answer: 3*i**2 - 1713600*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467110 is divided by 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**5\/20 + 7*k**4\/24 - k**3\/3 + k**2. Let a be c(-5). What is the highest common factor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 + i + 4. Let g be t(0). Suppose 4*v = -g*y - 12, -7 = -3*v + y - 4. Suppose v = -4*s - n + 264, -2*s = -s + n - 63. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1332 + 2232. Let f be b\/16 + 10\/(-40). What is the greatest common divisor of 40 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 64*z + 1564 + 56 = 0 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -42. Let w = -10 + z. What is the hundreds digit of (w\/(-9))\/(1\/(-582))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.016 - -0.016. Which is the nearest to h? (a) 2 (b) -2 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -296774*b + 296761. Give v(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71 - 0.61. Which is the biggest value? (a) -0.3 (b) d (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-315)\/(-20) + (-4)\/(-16). Let r be -1 - (-68)\/w - 3. Suppose 0*u - 1\/4*u**5 - r*u**3 + 0*u**2 + 1\/2*u**4 + 0 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/7, -4, 242, -13 in descending order.\nAnswer: 242, 3\/7, 0.1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)\/sqrt(99) - sqrt(304)*1)*1)**2 + (sqrt(228) - (-1*sqrt(228) - sqrt(228))*6)\/(-1*sqrt(192)).\nAnswer: -13*sqrt(19)\/4 + 2299\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 + 1. Let h be s(-1). Suppose h + 3 = -2*i. Calculate the common denominator of 2*(-654)\/(-1144) + i\/22 and -109\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -25)\/((2 - 1)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 112 = 5*k, 18*v - 12*v + 3*k = 189. Solve v*w - 33*w - d = 17, -w = -4*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2152*c*z**2 - c*z + 4*c + 51*z wrt z.\nAnswer: 4304*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38782, -77567, -116350, -155131?\nAnswer: -193910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + 2*z - 1. Let n = 100 + -55. Suppose -n = -9*c + 4*c. Suppose -t - s + 0*s - 1 = 0, -t - 5*s - c = 0. Give b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 q when four letters picked without replacement from iqqqqqqqqi?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -10 - -25) + (24 + -58 - -39)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 15. Let i = 825 - 824.7. Is z > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/15, 1, -28\/453 in decreasing order.\nAnswer: 1, 2\/15, -28\/453, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 62047*v - 12037116. Determine b(194).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 - 204.5. Which is the closest to 4? (a) 5 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l**2 + 2*l**2 - 4*l**2.\nAnswer: 53*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 3*p - 2*h, -4*p = 5*h + 25. Let g(q) = q + q + q + p. Let l(n) = -10 + 2*n + 10. Calculate g(l(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77638, 77646, 77676, 77740, 77850, 78018, 78256?\nAnswer: 78576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169665, 338912, 508161, 677412, 846665?\nAnswer: 1015920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*d - 141*d - 72*d + 352*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-26*l**4 + 55*l**4 - 27*l**4 + 8*l**3) + 5*l**4 - l**4 - 5*l**4 in the form z*l**2 + n*l + w*l**4 + h + i*l**3 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9382?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f + 119 = -3*n, 3*f - 2*n + 324 = 0. Let x = f - -119. Suppose r = 5*k - 6499, -5*k + x*k - 5195 = 5*r. What is k rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 0 + (-2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*z**3 + 933*z**2 - 5*z - 6117 wrt z.\nAnswer: 15*z**2 + 1866*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - ((1 - 15) + (36 - 34))) + -12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112010 (base 4) in base 8?\nAnswer: -12604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -550250*l**2. Let s(t) = -5*t. Give s(u(j)).\nAnswer: 2751250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51387 and 3381754.\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p - 10. Let q(b) = b**3 - 7*b**2 + 7. Let o be q(7). Let m = 8 - o. Solve -3*y - p = -m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + n - 2. Let h(u) be the second derivative of u**5\/20 + 2*u**4\/3 - u**3\/6 - 5*u**2 - 5*u. Let p be h(-8). Calculate t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxdx when four letters picked without replacement from {y: 1, d: 2, c: 1, x: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 246 and -205.63.\nAnswer: 40.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 6*a - 3. Let p be w(-3). Suppose b - 78 + p = 0. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*b = -5*l + 144*b + 46, 0 = 4*b - 8 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 1. Let u(p) = -7*p**2 - 2. Let a(z) = u(z) + 2*v(z). Let j(c) = 3*c. Determine j(a(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 2*p + 9. What is g(7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 644*f**4 + 608?\nAnswer: 2576*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 508 + -508.2. What is the third smallest value in 3\/2, t, -13\/3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/2 - 21*t**3\/2 + 9*t**2\/2 + 93*t\/2 + 30.\nAnswer: 3*(t - 5)*(t - 4)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9989*l**5 + 2*l**4 - 28*l**3 - 462723*l**2.\nAnswer: -599340*l**2 + 48*l - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/10)\/(4\/(-40)). Let a be 14\/(-3*(-3)\/(6*-3)). Let f = a + 32. Solve 0 = q*m - 0 - f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**3*p**3 - 14*n**3*p + 4*n**2*p**3 + 10*n**2*p**2 - 1145*n**2 + 178698*p**3 + 4*p**2 wrt p.\nAnswer: -6*n**3 + 24*n**2 + 1072188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-7) - 172\/(-14). Suppose 5*h + 2*v = 54, h - a = -4*v + 3*v. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (3 - -2)) + 1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 8. Suppose s + 25 = -5*z, 0 = -3*s - 3*z - 4 - 11. Suppose 0 = 5*d - s - 35. Let u(h) = -d - h - 2*h + 2*h. What is -6*i(w) + 7*u(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 6\/3296809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -330405 divided by -5?\nAnswer: 66081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 5. Let d be i(0). Suppose -d*a = -0*a - 465. Calculate the remainder when a is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2880 + -1651. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327710 rounded to the nearest 1000?\nAnswer: 328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48335, -48343, -48349, -48353, -48355, -48355, -48353?\n\"Answer: w**2 - 11*w - 48325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -292, -301, -314?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8039322\/319 + (-20)\/(-55).\nAnswer: 2, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6637 times -0.06\nAnswer: -398.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((180\/35)\/(-9))\/((-612)\/126)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 1. Let q(o) = o - 8. Let f(m) = m - 17. Let b(t) = 6*f(t) - 13*q(t). What is b(d) + 3*c(d)?\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -9\/2*m**2 - 1\/6*m**3 + 0 + m. Let y be x(-8). What is the closest to y in 2, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1162*c*h**2*k**2 - 22*c*h**2 + 40*c*h*k - 15*c*k**2 + 5*c + 2*h**2*k**2 - h**2 wrt k.\nAnswer: -2324*c*h**2 - 30*c + 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1170, 1194, 1234, 1290?\n\"Answer: 8*y**2 + 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*k + 755, -3*t - 4*k + 453 = -k. Suppose -47*v + 0*v = -141. List the prime factors of 3*(-1)\/v + t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2716153 and 0.3.\nAnswer: 814845.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29.1597 * -5\nAnswer: -145.7985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c8 (base 15) in base 8?\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/9 + 4*r**4\/9 + 4*r**3\/9 - 2*r**2\/9 - 5*r\/9 - 2\/9.\nAnswer: (r - 1)*(r + 1)**3*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*a - 1294 = 0, 3*d + 3*a + 1647 - 5517 = 0. List the prime factors of d.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 34*r**2 + 39*r - 43. Is i(31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 15, 1, -15?\n\"Answer: -z**2 - 9*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - 12\/5. Let b be (-5 - 9\/(-3))\/r. Let u(f) = 5*f - 1. Let m be u(b). Is m greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12304 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/220, 4, 1.552886?\nAnswer: 1.552886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 94368 divided by -3\nAnswer: -31456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(147) + sqrt(147)*1)*-4 + 5*-2*(0 + sqrt(147)) + -5)**2 + 4.\nAnswer: 1008*sqrt(3) + 47648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 15640*g - 124377024.\nAnswer: 4*(g - 3954)*(g + 7864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 5*c + 3. Let l be o(9). Let u be l - (2 - 3)*1. What is the greatest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 20, 3*o + 647 = 4*p + 2364. Let s = o - 5679. What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3\/7, -0.08541, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 9*l - 1. Let m(i) = -i**3 + 2*i**2 + 6. Let b be m(2). Determine n(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 29 = -2*r. Let p be 60\/(-10)*5\/(-2). Let g be p\/(-9)*36\/r. Solve -3*x + 8*x + 5 = -g*w, 4*x + w = -7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4670*t + 18683. Give m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t = -l - 39, -l - 3*t = 29. Let b(h) = h**3 + 13*h**2 - 18*h + 18. Does 37 divide b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22841944 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -7) + 11 + 11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2924, 3518, 4112, 4706?\n\"Answer: 594*m + 2330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -133, -307, -541, -829, -1165, -1543, -1957?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6290 is divided by 523?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 8:42 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(-15)\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10111000111000110011010101?\nAnswer: 10111000111000110011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -m - 12 + 40, y + 24 = m. Let k = 22 - m. Solve -k*p + 0 = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -173*n + 2. Is l(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1138987.\nAnswer: -1138986.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73 - -168 - 92) + (29 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is acd6 (base 14) in base 8?\nAnswer: 72434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/(-24)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40573973?\nAnswer: 11, 3688543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 5 + 4 + -2. Let o(b) = -4*b - p*b**2 - 1 + 15 - 6*b + b**3. Let i be o(9). Solve -i*r = -0*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63938906 is divided by 21312966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499 + 546 = -5*m - l, 5*l = -m - 19 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-29))\/(((-42)\/(-19796)*14)\/3).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 892607509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -7, 2\/5, 6.7, 110?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12757, 12867, 13067, 13357?\n\"Answer: 45*o**2 - 25*o + 12737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 61, 4, 0 in ascending order.\nAnswer: -4, -3, 0, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:42 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 6*r**2 + 6*r + 11. Let h be u(-4). Let a be 11\/4 - (h + -15). What is the closest to 0.2 in -0.4, 4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1336 - 688. Does 72 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140 + 165)*((-18 - -20) + 134\/(-70))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16977155.\nAnswer: 5, 13, 107, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 6*t**2 + 2*t - 5. Let w be (3 - (-5 + 2)) + 2. Let l = -31 + 57. Suppose -w*u + l = -22. Calculate x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 2439*h**2\/2 + 1982907*h\/2 - 537367797\/2.\nAnswer: (h - 813)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -933 divided by -311\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i + 7*i - i + 7*i to the form u*i + s and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097221 less than -0.0143?\nAnswer: -0.111521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -490*p + 483*p. Suppose -9*v + 38*v - 116 = p. Solve -v*l = 5 - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9773?\nAnswer: 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24819 or 2\/7?\nAnswer: 24819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 + -231.6. Which is the second smallest value? (a) 0 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -195 or -646?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + j = -3*j + 15, -2*l = -2*j. Find the third derivative of -2*k**2 + 4*k**2 - 6*k**5 - 6*k**l wrt k.\nAnswer: -720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f. Suppose n + n - 4 = f. Suppose -2*o - 2*o = -8. Solve 2*x = -z + 4*z + 6, -n*z - 14 = o*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:56 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337, -1380, -3127, -5584, -8757, -12652, -17275, -22632?\nAnswer: -28729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*s. Suppose s = -5*i - 2 - 18, 4*f - i = 40. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -5742.\nAnswer: 2\/2871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*u)*(-u + 3*u + 0*u + (1 - 1 - 2)*(-2*u + 0*u - 2*u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2*z - 2*z + z)*(0 - 1 - 2)*(6*z**2 - z**2 - z**2)*(-2 - 4 + 6*z - 11*z).\nAnswer: 120*z**4 + 144*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -17.\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 210*f - 112 - 322 = 0. Which is the fourth smallest value? (a) f (b) 2255 (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-821 - 702 - 6489)*(-4*z**3 + 4*z**3 - z**4).\nAnswer: 8012*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + p - 2*p = 56, 4*l = -3*p + 92. Calculate the remainder when l is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -28*k + 59*k - 3 - 28*k. What are the prime factors of h(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 15713?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 6:41 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 15*d**2. Let l(k) be the second derivative of -9*k**4 + 53*k + 1. What is m(l(s))?\nAnswer: 174960*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-124)\/30 - 2\/(-15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230067528, -460135056, -690202584, -920270112?\nAnswer: -1150337640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -31*q**3\/6 - 243*q**2\/2 + q + 65. Let y be c(-8). Solve -2*s = -f - 5*s - 11, 5*f + y*s + 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 57*w - 265. What is i(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 4, -3, -13943 in decreasing order.\nAnswer: 4, 2, -1, -3, -13943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/487, -1.\nAnswer: -1, 2\/487, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/12 + 13*c. Let v(g) = -7*g. Give v(h(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tte when three letters picked without replacement from errrzrtnrtzrrznrr.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, f: 1, z: 1, x: 1, v: 1, j: 2}. What is prob of sequence jfwv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*((-112)\/(-40) + -2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3) - ((-15)\/(-27))\/((-25)\/(-210))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51038\/5490677 + 583\/3629. Let i = 3\/89 - v. Sort 0.29, i, 0.07 in decreasing order.\nAnswer: 0.29, 0.07, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160190902?\nAnswer: 2, 1153, 69467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392547593, 392547595, 392547597?\nAnswer: 392547599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = -0*d, 0 = 3*q + 5*d - 4648. What is the remainder when q is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 120 = 2*c. Suppose 5*n - n = c. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, and 1 y when three letters picked without replacement from {x: 4, m: 1, o: 1, b: 2, y: 10}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**4 + 2*z**3 + 0*z**3 + 2*z**4 + 7*z**2 + 0*z**3 to d*z**4 + n + c*z**2 + b*z**3 + g*z and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*d - 772 = -167*d. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1746 and 1143.\nAnswer: 221742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.9 + -58. Let x = z + 10. Let d = -1 + -1. Sort d, 1\/7, x in increasing order.\nAnswer: d, x, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -502 + 462 - (4 + -2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*n - 80, 4*y - 3 - 65 = -2*n. What is x in -3*x - 3*x**5 - 17*x**2 - y*x**3 + 29*x**2 + 7*x**4 + 5*x**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187119 is divided by 1162?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 28, 37, 46, 55?\n\"Answer: 9*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2695.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.8 + 16.5. Let u = a + -2.325. Let m = 0.075 - u. What is m rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*3*1 + (sqrt(30)\/sqrt(5))\/sqrt(3))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32040 and 109381?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/9 + 56\/(-192)*4*(-38)\/133?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2\/3 (c) -39\/4 (d) -0.3 (e) -15 (f) -17\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**2 - 11 - 5*x - 7*x**2 + 19. Let c be a(5). Suppose 310 + 266 = c*u. Calculate the greatest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 335 - 319. What is the least common multiple of z and 184?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p - 197. Let r be a(20). Solve 0*u = r*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -186 + 116. Let i = 65 + n. What is the closest to 11 in -2, -3, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2685.2 + 2685.4. Sort -0.4, t, -1, -117, 0.4 in increasing order.\nAnswer: -117, -1, -0.4, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14115820?\nAnswer: 2, 5, 461, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 4*d**2 - d + 2. Suppose 4*n = 2*g - 34, -10 = -5*g - 5*n - 0*n. Let s be j(g). Let w = -90 + s. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059796 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7567 - 295130\/39. Calculate the common denominator of u and -151\/1584.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 4*k**3 - 4*k - k**4 - 5*k**4 + 5*k**4 - 3*k**2.\nAnswer: -(k - 2)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**2*s**3*z + 2*f**2*s**2 + 1292*f**2*z - f**2 - f*q*s**3*z + 185*f*q*s**3 - 3*q*s*z wrt s.\nAnswer: 84*f**2*z - 6*f*q*z + 1110*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**5 + 2*l**3 - 5*l**2 - 2. Let z(i) = 5*i**5 - 9*i**3 + 19*i**2 + 9. Let u(o) = -9*p(o) - 2*z(o). What is the third derivative of u(r) wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 37 = -0*h - 4*h, -5*h - 10 = v. Suppose 0*z = 4*x - 3*z + 75, 0 = -v*x - z - 89. Let c = 57 - x. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -100 = -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 5*q - 63 = 13*k, 3*q = -29*k + 149 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*f**4*s + 5794*a*f**4 + 18*a*f*s - 2*a*s + 4*f**2*s wrt f.\nAnswer: 48*a*f*s + 139056*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 828\/1008 - 24\/42.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -48*y**3 + 7*y**2 - 1663. Let b(x) = x**3 + x**2 - 5. Let r(n) = 2*b(n) - m(n). Find the first derivative of r(f) wrt f.\nAnswer: 150*f**2 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -5*t, 10*v - 13 = 9*v + t. Solve 3*c + 3*h - v = 2*h, 0 = c + h - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 467683.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 4. Suppose c + 2 = -3*y. Let r be (-12)\/(-9) + 4\/y. Solve 0 = -2*b - 6 - r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*w - 12. Suppose -4*d = -w*d + m - 2, -2*d + 4*m + 22 = 0. What is the third derivative of 4*c**d - c**3 - 14*c**2 + 2*c**3 wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -37320779?\nAnswer: -37320731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (80 - 22 - 50) + (-5 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 111*h - 112*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**2 - 6*s + 1. Let i(w) = -14*w**2 + 13*w - 2. Give -13*b(c) - 6*i(c).\nAnswer: -7*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - -3 - (-27424)\/16. Suppose 4*a + u - 1724 = 0, -29*a - l = -33*a - 4*u. Is a a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine quarters of a millimeter?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1))\/(24\/(-60)). Suppose l - j*u = 15, 3*u - u + 32 = 3*l. Let q = -85 + 129. What is the lowest common multiple of q and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569450464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2086 = 4*p - 3*m, p - m - 287 - 236 = 0. Calculate the remainder when p is divided by 249.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 50 (c) -9.6 (d) -2 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5 - 14015*v**4 + 320270*v**3 - 1585660*v**2 + 2947480*v - 1890400 = 0. What is v?\nAnswer: 2, 17, 2780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112089 or -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 219e?\nAnswer: -219e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 1*sqrt(832) + 4 - sqrt(832)) + sqrt(832) + -1*-3*sqrt(832))**2.\nAnswer: 320*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ift when three letters picked without replacement from tifiiiittiiitiifiti?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.267863t to kilograms.\nAnswer: 267.863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d**2 + d + 2. Let x(t) = t**2. Determine -u(n) - 4*x(n).\nAnswer: 5*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23\/2 + -12. Suppose 3*j + 3*f - 621 = 0, -21*j - 4*f + 213 = -20*j. Let i = -183 + j. Which is bigger: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/37500*-15*(10\/(-60))\/((-1)\/15)?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144414342 (base 5) to base 6.\nAnswer: -24412031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3 (c) 0.04 (d) -2\/25 (e) -0.4188\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {m: 3, n: 8, f: 6}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311 + -2?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88 and -0.319?\nAnswer: 28.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 431 - 189. Let h = t + -170. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 k when three letters picked without replacement from tttmtkvmtvtv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004799 rounded to 7 dps?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -482, -964, -1446, -1928?\nAnswer: -2410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)*(-2)\/(-2). Let f = 4 + -7. Is z - 33\/(f*1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 6. Let u(a) = -a**3 - 24*a**2 + 2*a + 60. Let g be u(-24). Suppose 17*q - g*q - 3*p = -52, 5*q - p = -44. What is s(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791630185 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 + -16)\/(1\/(-13)). Is u at least 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 950 divide 158895100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*q**2 - 52985*a - 18384*q**2 wrt q.\nAnswer: -2*a*q - 36768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*g**3 + 189*g**3 - 408*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(1\/20)*y*y*y)\/y**29*y*y\/y**(6\/13)*y*y*y**34 assuming y is positive.\nAnswer: y**(3533\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p, 4*t + 3*p + 0*p - 172 = 0. What is the remainder when t is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c - 57*c + 78*c - 37*c - 43*c.\nAnswer: -76*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 320 = 12*t. Calculate the greatest common factor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -602076 divided by -1532.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (424\/(-32))\/(2\/(-16)) is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3659054 and 38843.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/61414200 and 59\/1505250.\nAnswer: 307071000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9802 is divided by 2309?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0147617006 rounded to 4 decimal places?\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 402.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*p - 4*i, -4*p = -3*i - i + 20. Let f be -1*(-2 + (-15 - p)). Suppose -10*o = -f*o + 168. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 5*b + 70. Suppose b*v - 495 = 7*v. What is the highest common factor of 33 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -345846, -345847, -345848?\n\"Answer: -o - 345845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.34 and -1.\nAnswer: -1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3473 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 4*u**2 - 2*u + 12. Let d be w(-5). Suppose -4*z = -4*t - 16, -5*t + t = -4. Let v = -1 + 0. Sort d, z, v.\nAnswer: d, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a - 6*a**2 + 17*a**2 + a wrt a.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1232 + 76?\nAnswer: -1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -562, -549, -528, -499, -462, -417, -364?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/12)\/(-9)*(-2)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -159, -289, -421, -555, -691?\n\"Answer: -o**2 - 127*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-68)\/7 + -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -65.1. Which is the nearest to 1\/4? (a) 2\/65 (b) h (c) -2\/3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3*(2 + -8). Suppose -4*h + 28 = -u*q, 2*h - q - 4*q - 30 = 0. Solve 0 = -0*r + r + h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4 - v + 6)*(-2 - 2*v + 3*v + 1).\nAnswer: 3*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (2 + 4)\/3. Let f(n) = -11*n + n**2 - n**3 + 15 + 6*n + k*n. What is the remainder when f(0) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -80. Suppose -p*v - 20 = 0, -2*f = v + v. Let o(t) be the third derivative of t**4\/12 - t**3\/2 + t**2. What is o(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d + 5?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = 3*g, -5*b = -0*b + 4*g + 23. What is the tens digit of 26 + (-9)\/b + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s. Let v be c(-2). Find the third derivative of -6*n**4 + v*n**2 + n**2 - n**2 + n**2 wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52.4425149 and 0.12.\nAnswer: -52.3225149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1436 and 1275886.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*x + 16 = 371*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*c = 116, -3*i - 3*c + 64 = -4*c. Calculate the least common multiple of (8\/(-6))\/(14\/(-105)) and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.74 - -2.\nAnswer: -15.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 718\/7 + -311\/3. Calculate the common denominator of 43\/3 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29835 divided by 5\nAnswer: -5967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 - 598 + 12*l**2 + 598 - 18*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36440 and 75610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 d when four letters picked without replacement from gxtgdgzggdd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252902320?\nAnswer: 2, 3, 5, 3129031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 11*x - 8. Give a(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-2)\/(-210))\/(1748\/(-6118))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -153*c*g*w**2 - c*g*w - 8*c - g*w**2 + 4*g - w**2 - 1 wrt w?\nAnswer: -306*c*g*w - c*g - 2*g*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*j - 18*j + 162*j)*(-6 + 5 + 0)*(4*j - 5*j - 6*j).\nAnswer: 1316*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cc (base 13) in base 7?\nAnswer: -1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 9. Let q(y) = 12*y. Calculate s(q(u)).\nAnswer: -288*u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - -20a5?\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245\/3 - -82. Let n = 0.22 - 0.4. Let v = -0.02 + n. Sort v, 2\/9, q.\nAnswer: v, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136\/9 + -46\/3. Let r = -2.26 + -0.74. Let g = -1.5 + 0.5. Sort g, s, r in increasing order.\nAnswer: r, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -40*x + 450. Calculate u(-3).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*c**3)*(-2*c + 1 - 1 + (c - 2*c + 3*c)*(3 - 1 - 3)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 + n - 1. Let t be h(5). Find the first derivative of -23*v**2 - 69 + 341 - v**t - 151 wrt v.\nAnswer: -4*v**3 - 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165800\/11 greater than 105982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -7. Let p be (j\/(-10))\/(2\/(-10)). Suppose 18*b + 880 = -0*b + 40*b. Calculate the highest common factor of p and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb6 (base 15) to base 11\nAnswer: -1a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/58564 and -29\/22.\nAnswer: 58564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27d (base 16) in base 12?\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -19*f + 48*f - 30*f. Calculate s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 41 = -3*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8410*y - 4205*y = -i + 4206*y - 32, -5*i - 124 = 4*y for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1680 and 882.\nAnswer: 35280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -59. Which is greater: 23 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.1 - 71.4. Let z = -47 - s. Let l = -3.5 - z. What is l rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 - 12*g - 2. Give n(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14146\/7*y**3 - 14*y**5 + 4096\/7*y - 12354\/7*y**2 - 456\/7 - 762*y**4 = 0. What is y?\nAnswer: -57, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.018941 and -9.7?\nAnswer: 0.1837277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3903.\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27237509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 w, and 1 z when four letters picked without replacement from iwszzsddss.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*j = 84630 - 84643, -2*i - 18 = 4*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*u + 16 = -0*u, 3*u + 21 = -3*b. Let c(k) = -5*k + 3. Let z be c(b). What is the highest common factor of z and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let u(y) = -y**2 + 4*y + 2. Let h(p) = -d(p) - u(p). Let x = 14 + -29. Let c be (x\/(-10))\/(2\/4). Give h(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 888000 = 0. Round f to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9379099186 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297432*u**4 - 5*u**3 + 6819831*u**2 wrt u.\nAnswer: -7138368*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 185631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10570 (base 13) to base 10\nAnswer: -29497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/2, 0, 1\/6, -0.2, 5.\nAnswer: -0.2, 0, 1\/6, 9\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3141?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 j, and 1 n when four letters picked without replacement from {i: 2, j: 1, v: 3, n: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89872.0191457 + -89872. What is q rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14774289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, and 1 z when three letters picked without replacement from kdemzklzmzzd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 1\/315*s**7 + 0*s**4 + 289\/10*s**5 - s + 0 + 0*s**3 - 17\/30*s**6 + 3*s**2. Factor m(l).\nAnswer: 2*l**2*(l - 51)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*s + 5*g = -307*s + 52, -4*s = -3*g + 39 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2aa2 - -1?\nAnswer: -2aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -18*h**2 + 300*h + 3. Let g(n) = 14*n**2 - 301*n - 3. Determine 5*g(o) + 4*i(o).\nAnswer: -2*o**2 - 305*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 73, 74, 75, 76?\n\"Answer: f + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -170, 4 in ascending order.\nAnswer: -170, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2576 and -9\/80.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s + 124 = 0. Let v be (-3)\/(-1)*(0 - -1). Let q be 91\/18 - 451\/8118. Sort q, 4, s, v in ascending order.\nAnswer: s, v, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80 + -111 - -100) + 100.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52\/7 in 1\/2, 106, 7\/9, -6\/13?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 24. Calculate the remainder when m is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26523 and 453159?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 - 311. Let b be 32\/t + 0 - 81\/(-189). Let r(u) = 6*u**2 - 2*u + 1. Let l be r(1). Solve 4*q = o - 7, -l + 2 = -b*o + 4*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {l: 4, e: 1, n: 10, c: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvxvvvhvvvhvv. What is prob of sequence vhv?\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 10 = 49*c - 5*z, -3*c = 5*z - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6375 = c - 2*o - 6372, -c - 4*o = -21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 178*x - 1699. Calculate r(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62142, 62140, 62136, 62130, 62122, 62112?\nAnswer: 62100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 0 + 17*b + 0.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**12\/m*m*m)\/(m\/((m**(-8)*m*m)\/m)))**42)**(1\/30) assuming m is positive.\nAnswer: m**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 761*n**3 - 2 + 5.\nAnswer: 761*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -827, 5, -52\/5 in ascending order.\nAnswer: -827, -52\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.6 - -30. Let k = 74 + -73. What is the smallest value in k, 0.01, d, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741801736?\nAnswer: 2, 13, 7132709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -279*j**2 - 581*j - 71. Let a(r) = 3*r**2 - 3*r + 2. Let l(n) = 7*a(n) - m(n). Suppose l(s) = 0. What is s?\nAnswer: -17\/10, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -269.4812 and 0.156.\nAnswer: -269.3252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/1127449?\nAnswer: 4\/1127449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 1\/2*b**3 + 1\/105*b**7 - 19\/120*b**6 + 0*b**4 + 0*b + 1\/12*b**5 + 3 + 10*b**2. Find the third derivative of p(x) wrt x.\nAnswer: 48*x - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4 - 5 + 42*v + (2 - 5 + 2)*(-3 + 2 + 3)*(-3 + 3 - 2*v) to the form x + s*v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/97 (b) -1\/2 (c) 2\/15101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11240, -10944, -10450, -9758, -8868, -7780, -6494?\n\"Answer: 99*s**2 - s - 11338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {a: 1, r: 3, i: 6, u: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*r, -137*c + 136*c - 26 = -4*r for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -118*n - 5. Let h be x(-2). Let k be 6\/(-18) + (-2000)\/(-60). Calculate the highest common factor of k and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28371*k**3 + 591*k - 14178*k**3 - 591*k - 14188*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 8*g + 38. Let a be y(11). Suppose -a*l - 7 = -32, -q + 26 = 3*l. Calculate the remainder when 87 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(280)\/(1*sqrt(90)) - (sqrt(28) + -2 + sqrt(63) + sqrt(63)*-1)))**2*-4.\nAnswer: -592\/9 + 64*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-23 - -1 - (-13 + 10)) + (19 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 781 + -1?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35334 - -664?\nAnswer: 36331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5484 and 352?\nAnswer: 482592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, h: 4, q: 2, k: 1}. What is prob of picking 4 h?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, 3682, 1 in descending order.\nAnswer: 3682, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.79 * -16.1\nAnswer: -12.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -258, -389, -520, -651?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbebbbbbbqbbb.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/15630 + -48593\/526210. Let l = i + -11537\/3030. What is the common denominator of 63\/(-4)*3\/(-7 - 2) and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6966.802m in kilometers?\nAnswer: 6.966802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/13*(17504\/224 - 78).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1176)\/(-16) - 1)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(70)\/(sqrt(40)\/sqrt(4)*-4) + (3*sqrt(28)\/(sqrt(4)*2))**2.\nAnswer: -sqrt(7)\/4 + 59\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2054843*f**4 + 4*f**3 + 2*f**2 + 144519*f - 1 wrt f?\nAnswer: 49316232*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -15*w + 20*w. Let t = -355 + 3193\/9. Which is the smallest value? (a) -1 (b) t (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14097319039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnbu when four letters picked without replacement from unnzbhb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -26*t**4 - 5*t**3 - 70. Let y(s) = 13*s**4 + 2*s**3 + 35. Let q(p) = -2*b(p) - 5*y(p). What is the derivative of q(m) wrt m?\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4706006, 18824007, 42354006, 75296003, 117649998, 169415991, 230593982?\n\"Answer: 4705999*p**2 + 4*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2641, 2643, 2639, 2623, 2589?\n\"Answer: -q**3 + 3*q**2 + 2639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:15 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 11 + 1. Let x = 11 + -7. Suppose 0 = -p*m + 3*l + 22 - x, 2*m = -5*l + 40. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjssjwss. Give prob of sequence jw.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6871*n - 16 = -6867*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 2 (c) 13\/2 (d) 0.2 (e) 0.01 (f) 0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3\/3 - 7*c**2 + 19*c + 12. Let m be b(13). Solve m*g = g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/4 and 8 + ((-5616)\/675 - 3\/24)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223393 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6592339um to millimeters.\nAnswer: 0.0006592339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 22521300\nAnswer: -6756390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -13*b**3 + 2*b**2 + 3*b. Let d(k) = -52*k**3 + 9*k**2 + 13*k + 1. Calculate 4*d(q) - 18*y(q).\nAnswer: 26*q**3 - 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t + 42. Let j be o(0). Suppose 4*w - j = -2*y, -5*w + 5*y = 2*y - 58. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*m - 132584, -19*j + 16*j = m - 99443. List the prime factors of j.\nAnswer: 3, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15168 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44004*-0.5.\nAnswer: -22002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5 - 4. Let x(l) = l**3 + 6*l**2 - l - 2. Let g be x(-6). Let c(n) = -37*n - n**3 + 38*n + 7*n**2 - g*n**2. What is c(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2103991960959.\nAnswer: 2103991960964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27874 and 308.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -98 + (0 - -1)\/(-1). Let y = 9 + 179. Let a = s + y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 - 144 = -4*t. Suppose 319 + t = -20*n. Is -20 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 5 = 19*n. Let v(c) be the first derivative of -c**2 + 3*c + 1. Is 12 a factor of v(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 + 0 + 7*l**3 - l + 2*l**2 + 1. Let h(c) = -c**2 + 13*c - 11. Let y be h(1). What is t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3 - 3)*(309*s**3 + 455*s**3 - 116*s**3).\nAnswer: -648*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a + 20 = 0, 3*z - 4*a + 23 = 0. Let k be (-2)\/1*(z - -11). Let l be -7999 + (0 - k - -3). What is l rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18488, 18487, 18486, 18485, 18484, 18483?\nAnswer: 18482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637771 is divided by 6442?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 - 2*q + 2*q + (3 + 3 - 4)*(4*q + q**4 - 4*q) + (0 + 0 - 2)*(-q**4 - 3*q**4 + 2*q**4).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s*u*x**3 + 2*s*x**3 - 3*s - 2*u - 56*x**3 + 25*x**2 + x wrt x?\nAnswer: 6*s*u + 12*s - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -264262 + 1?\nAnswer: -264261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 787350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -576, -1163, -1752, -2343, -2936, -3531?\n\"Answer: -y**2 - 584*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.644 * 240\nAnswer: -1114.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**5\/30 + q**2\/2 + 1. Let h(d) be the second derivative of v(d). Let n(y) = -2*y**2. Give n(h(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7644 (base 9) in base 6?\nAnswer: 42021","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 - 127. What is the greatest common divisor of c and 516?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**5 - 3*w**5 + 4*w**5 - 2*w + 2*w - 2*w**5 + (w**4 - w**4 - w**4)*(-5*w + 4*w + 0*w) + 2*w**5 + 2*w - 2*w)*(-4 - 1 - 3) - 196*w**5 - 2730*w + 2730*w.\nAnswer: -252*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g + 5. Is 21 a factor of g + 4 - 3\/((-3)\/134)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -57*x**2. Let g(y) = y + 1. Let w(h) = -7*h - 4. Let n(o) = 4*g(o) + w(o). Determine n(f(c)).\nAnswer: 171*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123823 and 21660?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 79 = -76. Let m be (-1)\/(i\/2*2\/4). Solve -5*a - 22 = m*p - 6, -p = 5*a + 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/1650*-5*(-4)\/6\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s + 24 - s**2 - 24 as o*s**2 + c + h*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4580.387 days?\nAnswer: 109929.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 + 7*g**2\/4 - 121*g + 728.\nAnswer: (g - 13)*(g - 8)*(g + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/2 - 11*y**3\/2 - 35*y**2\/2 - 25*y\/2 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 - 4*o + 3 + 3*o - o. Suppose 385*q = 18144 - 6939 + 5735. What is the remainder when q is divided by u(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*d**4 - 2*a*d**3 - 54*a*d - 622*d**4 - 16*d**3 + 964*d**2 wrt d.\nAnswer: 48*a*d - 12*a - 14928*d - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6821512 micrograms to nanograms.\nAnswer: 682.1512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 1. Let h be l(7). Let w = h - 4. Determine z, given that 1\/2 - z**3 - 1\/2*z**4 + z + 0*z**w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196366 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*w + 138*w - 122*w + 104*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1681541836 by -420385459.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(102\/510).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3012 + -2996. What is the smallest common multiple of 250 and r?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:44 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 60*z**2 + 4*z - 24. Calculate the lowest common multiple of 64 and c(30).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/10334 and -17\/46503.\nAnswer: 93006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 6*a + 25. Let h be (-8)\/28 - (-172)\/14. Suppose r = 2*r - h. What is the smallest common multiple of r and g(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2 - (-3297)\/(-14))*-2. Suppose -1533 = -5*w - y, 3*w - y = a + 456. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -40 (b) 1 (c) 2\/19 (d) -1\/8 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = v - 41, 2*v - 34*t - 10 = -32*t. Which is the nearest to 1\/5? (a) 3\/32 (b) 27 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465775111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6)*(48\/(-7))\/(7370\/5159)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * -0.05182.\nAnswer: 0.0114004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p + 3 + 17*p**2 - 7*p - 7*p**2. Let n be i(-1). Solve 4*s + 22 = 3*h, -6*s + 4*s = -2*h + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(3))\/((1*sqrt(576) - sqrt(576)) + sqrt(576) - sqrt(9)) + 1)**2.\nAnswer: 4*sqrt(2)\/7 + 57\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 10*t + 9. Suppose -151 + 74 = 7*b. Give q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.5, 0.3, 1\/4, -18469, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 25 = -5*s. What is the third smallest value in 4\/9, s, -3\/4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o**2 - 3*o)*(6*o + o**3 - 6*o) + o**2 - o**2 + 2*o**5 + (4*o**5 + 0*o**5 + 3*o**5)*(-1 + 0 + 4) + (-3 + 1 + 1)*(0*o**2 - o**5 + 0*o**2).\nAnswer: 25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -135*r - 13. Let y be n(-14). Suppose 3*j = 5*p - y, -5*j + 272 = p - 81. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 5*w + 3. Let c be n(3). Let g be (-1)\/c + (-476)\/(-21). Suppose 0 = 4*d - 29 - g. What is the remainder when 64 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75) + 0 + sqrt(75) + sqrt(75) + (sqrt(75) + (sqrt(75) + -2)**2 - sqrt(75)) + 3 - (5 + (sqrt(75) + (4*sqrt(75) - sqrt(75)))*1)**2)*-6.\nAnswer: 1230*sqrt(3) + 6864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19103 - -35?\nAnswer: 19138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49734733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*1\/((-3)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 763*b - 37524. Calculate y(-58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2327 + 2326. Which is the smallest value? (a) j (b) 2 (c) 3 (d) -65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 356*n**2 - 700*n + 348.\nAnswer: -4*(n - 87)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, -21\/2687, -2, 4 in decreasing order.\nAnswer: 4, 2, -21\/2687, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62125 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3766*l**3 + 12*l**2 - 126*l + 329146031?\nAnswer: -11298*l**2 + 24*l - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbz when three letters picked without replacement from {x: 1, c: 2, b: 1, z: 4, s: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1845324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 350983517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 4*h**2 - 2. Let f be 1*(-12)\/(-4 - -8) + 5. Let z = -9 + 11. Let n(x) = 5 - 10*x**2 + 19*x**2 + 3*x**3 - z*x**3. Determine f*n(q) + 5*t(q).\nAnswer: -3*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35026 + 155.526264.\nAnswer: 35181.526264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -125*x + 79. What is the units digit of w(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(-1*11\/(-1))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 - 4*m**5 + 2*m**5 + (-5*m - 4*m**4 - 2*m**4 + 7*m)*(-5*m - 4*m + 2*m).\nAnswer: 40*m**5 - 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50472 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 196 + 91. Are x and -36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 29*t**3\/3 - 2*t**2 + 3*t + 1. Let a be d(1). Let o = a + 47. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 3*y**2\/2 + 4*y + 2. Let h be c(-4). List the prime factors of (-4)\/h + (-38)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10082083 and 4.\nAnswer: 40328332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623.0006 nanograms to micrograms.\nAnswer: 0.6230006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tff. Give prob of sequence tf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1)*(3 - 1). Let a be (-6 - -10) + l\/2. Suppose 0 = -w + a*w - 93. What is w rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142.0316 - -142. What is c rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8258*d + 10743664. Calculate p(-1301).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18330363, 18330350, 18330337, 18330324, 18330311?\n\"Answer: -13*p + 18330376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4600816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373924141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0494 * -17997\nAnswer: 889.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10076 and -59\/14?\nAnswer: 70532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2603362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 55*x - 33*x - 23*x.\nAnswer: -x - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 21*r**2 + 20*r + 6. Let p be g(20). Suppose o - 65 = p*o. Let k = 53\/4 + o. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(1539))**2 + sqrt(1539) + 0 + -3)*-2.\nAnswer: -18*sqrt(19) + 12318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*4192569.6\nAnswer: -2096284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/34 and -69\/239368?\nAnswer: 4069256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, 21, 1, -3, -4 in increasing order.\nAnswer: -45, -5, -4, -3, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52183854 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 10*t - 8. Let i(w) = w**2 + 9*w + 1. Let m be i(-10). Let o be l(m). Suppose o*y - 64 = -5*g, 2*g - 44 = -4*y + 2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 833*o + 37 - 390*o - 324.\nAnswer: -1223*o - 319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1954926 and 101\/1206?\nAnswer: 1954926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 130*q**2 + 496*q + 488.\nAnswer: 2*(q + 2)**2*(q + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3658450645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -2*s + 2*i, 768 = 5*s - 3*i + 89. Calculate the remainder when s is divided by 130.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82236, -155903, -229570, -303237, -376904, -450571?\n\"Answer: -73667*g - 8569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119.79051 + -41.391082. Let p = 78.4 - c. What is p rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4.\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asasaisiaaasaaaa. Give prob of sequence aaa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -107935.427 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1217199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let o(s) = s**3 - 6 + 6*s - 4*s**2 + s**2 + 4*s**2 + 2*s**2. Let g(m) = -o(m) - 6*v(m). What is the third derivative of g(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w**2 + 2*w**2 - w**2)*(-7*w**3 + 3*w**3 + 3*w**3) - 2*w**5 + 0*w**5 + 0*w**5 + 0*w**5 + 0*w**5 - 2*w**5)*(0 - 3 + 2).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.22070085 to one decimal place.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20) - 168\/(-80))\/5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-75)\/(-9) - 2)\/((-2)\/(-42)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + 1. Let s(n) = -n - 5. Let w be s(-7). Let c be 0 + 0 - (1 - w). Let j be l(c). Solve -j*b = -2*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 841094712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -709, -1404, -2079, -2728, -3345?\nAnswer: -3924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 9*(-104)\/(-351). Let p = -1.4 - -1.4. Let r = -6 + 10. Which is the closest to k? (a) p (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15443224 to the nearest integer?\nAnswer: 3930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*g + 4 = 6, 24 = 3*k + 3*g. Solve -23*y + 16*y = -k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 42*f + 12 = 0. Solve 3*a + 6 = -f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0 + 61\/4*j**4 - 1\/3*j**3 + 12*j + 15\/2*j**2. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6105 - 4545 = 0. What are the prime factors of v\/(-11) + 86\/(-473)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5361 divided by -3\nAnswer: -1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-131)\/(-38) - (-415)\/(528295\/(-134)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + v - 4 = 9, 4*v = -3*c + 25. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-56))\/(3\/(-7))*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 12. Let f(l) = l**2 + 8*l + 2. Let p be f(-8). Suppose 0 = -p*j - 3*y - 11, h = 3*j - 2*y - 10. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -97, -1911, 4, -4 in descending order.\nAnswer: 4, 3, -4, -97, -1911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 904 + -898. Solve 0 = 4*r + 2*s - 0 + x, 4*r + 31 = 3*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/4)*((c\/(c**(10\/7)*c))\/c)\/c)**(1\/38)\/((c*c**(1\/3)*c)**(2\/25)*c\/(c**(6\/7)*c*c)*c**(-4)) assuming c is positive.\nAnswer: c**(446879\/79800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 3. Let p = s + -1. Let k(i) = 2*i**p - 4*i**2 - 2 + 2. Let u(l) = l. Calculate u(k(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(14)\/sqrt(98) - sqrt(448)*-3.\nAnswer: 176*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9143 + 9145. Solve 54*r - 59*r + y*h = 25, -h = 4*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2047*s + 100*s - 3335 + 1180*s wrt s.\nAnswer: 3327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 + 2*z + 3. Let s be r(3). Let q be 8\/(-8)*(1 - -8). Let l = q + 45. Calculate the greatest common factor of l and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 16 = -7*c + 7*k, 0 = c + 3*k + 1. What is the closest to -2\/5 in 0.19, c, 0.2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/2)\/(u*u**21*u)*u*u**2*u*u**(-21)*u assuming u is positive.\nAnswer: u**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnnnbnnbnbnnnnn. Give prob of sequence ybnb.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24200*r**5 - 3*r**2 - 637*r - 2.\nAnswer: -1452000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6*(-19)\/(-5206))\/(-12))\/(5*5\/200)\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(24)\/(sqrt(24)\/sqrt(3)).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) + 6*(0 + sqrt(304)) - (sqrt(304) - (sqrt(304) + -1*sqrt(304) + 2)))*5 + 4)*-6)**2.\nAnswer: 120960*sqrt(19) + 9856656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 47*c**2 - 31*c + 606. Determine d(24).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30226251 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 12, 2*k - 66 = -5*x - 149 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 10*z - 28, 5*o - 64 + 60 = -4*z + o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5 - 4. Let p be 11*((-12 - -5) + (-1066)\/(-143)). Which is the second smallest value? (a) 0.3 (b) h (c) -0.2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -89.999999929. Round f to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/18)\/((-1)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k**3 - k**2 + 3*k. Does 41 divide b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -140*g + 414. What is m(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 13*y**2 - 20*y + 24. Let t be v(-11). Let h(j) = 2*j**2 - 2*j + 6 - 3 + t - 3. What is h(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q**2 - 26*q**2 + 18*q**2 to the form n + s*q**2 + x*q and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1892 = 5*x - 93. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 3*b - b)*(-105934*b**4 + 1 - 1 + 102343*b**4).\nAnswer: -35910*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*a*x**2 + 409963847*a - 54*x**2 + 1669*x wrt x.\nAnswer: 56*a*x - 108*x + 1669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + d + 1, -238*d + 3 = 3*a - 242*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*h - 3258 = 0, -7*h - 9818 = -3*m - 11*h. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -281*l**3\/3 + l**2\/2 - 16*l. Is n(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 3\/8 (c) 3\/4 (d) -10500 (e) -4 (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*c = 3313 - 10537 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - d - 28 = 0, 7 = 4*r + 5*d + 59. Which is the smallest value? (a) -5 (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 + -74. Suppose 0 = -3*i + 2*i - 5. Let j = i - g. 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 t be 45\/(-35)*6\/9. What is the biggest value in 2\/15, -37, t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = k + j + 5, 0 = 3*k - 3*j + 16 + 17 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*f**3 - 8 + 13 - 5 + (-5*f**2 + 0*f**2 + 3*f**2)*(-2 - 2*f + 2) - 3*f**3 - f**3 + f**3 to k + w*f + a*f**2 + t*f**3 and give t.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**5 + 555*k**4 + 448710*k**3 - 44117430*k**2 - 18731033475*k + 18774701643 = 0.\nAnswer: -239, 1, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = -8*w + 13*w - 76*p, 2*w = 4*p - 30 - 30 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12)*(-4 + -6 + -6). Which is the closest to r? (a) -2 (b) -2\/13 (c) -1.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgb when three letters picked without replacement from {p: 4, h: 2, g: 1, b: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311 + 299. Let x be (-10)\/12 - 70\/z. Solve 7 = -4*n - x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 14. Let y be m(-5). Solve -s + 10 = 3*n, -y*s - 5 = -0*s - 3*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from otatatttotooat?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.2. What is the second biggest value in q, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4020.1 - 4020. What is the nearest to y in 38, 1\/3, -1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -693\/10 - -2089\/30. Suppose 0*i - 25 = 5*c - 5*i, -5*c + 2*i - 13 = 0. What is the closest to 0 in c, 2\/43, -0.3, p?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 - -2. Let w = -161 - -164. Which is the nearest to h? (a) -1 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -35*i**2 - 976880*i + 46970880 = 0.\nAnswer: -195712\/7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/25)*p**5)\/(p**(1\/4)\/p*p\/p**(-1\/5)) assuming p is positive.\nAnswer: p**(447\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express u - 10*u - 6*u as s*u + i and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97\/3 + 32. Let x(q) = -q**3 + 4*q - 155 + 0*q**3 - q**2 + 151. Let f be x(-3). Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 - 12*c**3 + 54*c**2 + 324*c + 405 = 0. What is c?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -327*j + 379*j + 208. What is the nearest to 0.2 in 20, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79538?\nAnswer: 2, 39769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108260?\nAnswer: 2, 5, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95458*f + 95456*f = -2*w - 18, 0 = 2*f - 4*w - 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5005.673mg in nanograms?\nAnswer: 5005673000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419802 divided by 3441.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 4*o - 9. Let r(b) = 3*b**2 + 11*b + 28. Let x(h) = -2*r(h) - 7*u(h). Let w be x(-5). Solve -w*m - j + 13 = -5*m, 15 = -3*m + 3*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26652463143.51+0.1\nAnswer: -26652463143.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5986629 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.087 + 0.087. Which is smaller: k or 140\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2. Let q(c) = 8*c**2 + 8*c + 2. Let b(k) = 21*h(k) + 3*q(k). What is the units digit of b(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:48 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2875 (base 9) to base 6.\nAnswer: 14022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (135\/(-6))\/(6\/(-36)). Suppose w = 2*r + 31. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1)**10)**49 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16027, -32176, -48321, -64462?\n\"Answer: 2*u**2 - 16155*u + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/59987 + -4019337\/12477296. What is the common denominator of u and 55\/24?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7066*q + 7064*q - 12*q**3 - 29*q**3.\nAnswer: -41*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y - 14*y - 4*y)*(0*y + 0*y - 3*y) + 1904*y - 1904*y - 66*y**2 in the form z*y**2 + v + g*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nssjepsefnjsjss. What is prob of sequence pes?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60230 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k + 22*k + 17*k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -10\/21, -0.7, 148.\nAnswer: -0.7, -10\/21, 1.9, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4371038 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/3, 23, -3\/4, 43, 508?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3 - 2 + 11 + g - 7. Let u(p) = -3*p**2 - 8*p + 26. Let v(d) = -u(d) - 2*x(d). Let v(w) = 0. Calculate w.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from khoojjr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 divided by -1?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102099387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316528 a multiple of 428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - p - 10. Let a = 16 + -16. Calculate u(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 173\/((-38060)\/(-40)) - (-1 - (-20)\/(-11)). Solve -4 = f*c - 2*d - 7, -3*c - 3*d = 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1841451\/4 or 460362?\nAnswer: 460362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*w + 919, 0 = -3*n - w + 3*w + 547. List the prime factors of n.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*j - 5*j = 25, 3*x + 4*j = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*2502517.8.\nAnswer: 450453.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-21) + (-667)\/(-3654) and (-3830)\/(-100) - (-2)\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*t - 42, -3*k - 78*t - 51 = -73*t. Which is the second smallest value? (a) k (b) -65 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8342 and 5238.\nAnswer: 225234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -98, -97, -96, -95?\n\"Answer: q - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h - 5. What is the remainder when 6\/(42\/1099) - 11 is divided by r(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4385, 17223, 38515, 68261, 106461, 153115?\nAnswer: 208223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175344630 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from afxaaxfrxfaffaf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -37. Let q(r) be the third derivative of -i*r**2 + 0 + 0*r - 5\/6*r**3 - 5\/24*r**4. Find the first derivative of q(l) wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*f - 7 = -10, -2*f = s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/3075 + 169181\/43050. Suppose -r - 3396 - 1366 = 0. Let n = r - -38015\/8. What is the common denominator of h and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 + 49. Let b = -39164\/15 + 2608. What is the common denominator of b and 1*-1 + v\/(-486)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8.007. Let h = -3.007 + k. Let j = 0.2 - -0.3. Sort j, h, 2 in descending order.\nAnswer: 2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225501818.\nAnswer: 2, 73, 1544533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 45730322 + 10*w**3 - 45730322.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11 = -b - 0*k, -4*b + 2 = 3*k. Let i(s) = 15*s**2 - 1. Let u be i(b). Solve y + 1 = -2*m - 8, -2*m - u = -4*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47609.6853 - -206?\nAnswer: -47403.6853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(80) + 0 + 5 - -3*(1 + sqrt(80))))**2 - (1 + (sqrt(20) - (sqrt(20) + sqrt(320)*3) - sqrt(40)\/sqrt(18))).\nAnswer: 6986*sqrt(5)\/3 + 12095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/(x\/(x*x**(1\/6)))*x)*x)\/x*x)**(-20) assuming x is positive.\nAnswer: x**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.7891311 weeks?\nAnswer: 132.5740248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -691, -701, -711, -721?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*g + 5*r, 21 - 3 = 3*g - 2*r. Let d = g - 3. What is the second derivative of 0*p**d - 2*p - 2*p**3 + p wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 17, h: 3}. Give prob of sequence heeh.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -86*h + 67. Is l(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -39, 3\/7, 2\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(5 - 3 + 1)*(2 + 1 - 4)*(4 - 2 - 1)*(0*p + p - 10*p).\nAnswer: 108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2 - v + 34. Let h be z(-18). What is the units digit of (-4)\/(-6) - (h\/6 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22c - -2b1?\nAnswer: 4dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 318?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 265.2621l?\nAnswer: 265262.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a - 2. Suppose -3*d = -2*d - 59. Let r = 61 - d. Let k(s) = -1. Let u(w) = r*k(w) + f(w). Calculate u(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/9))**16)**(-29)*(d**5\/d**(-3\/4))\/(d**(1\/2))**(9\/4) assuming d is positive.\nAnswer: d**(-25651\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 139393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 42. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/7 or -11\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401 + 600. List the prime factors of v.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6)*f)\/f**2*((f\/((((f\/((f\/(f*f**(-3\/4)*f))\/f))\/f)\/f)\/f*f))\/f)\/f*f\/(f\/f**3)*(((f*f**1\/f)\/f*f)**(-1\/3))**41 assuming f is positive.\nAnswer: f**(-215\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/7 (b) 5 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 + 2*g - 4. Let f be a(-4). Suppose 3*n + 3 = 9. Put n, 5, f in increasing order.\nAnswer: n, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 19*u**2 + 8*u + 76. Let b be h(9). Solve -7*f + b - 215 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**18)**(-10\/7)*((t*t\/((t*t\/(t*t**(-15)*t))\/t))\/t)**(3\/5))**(-50) assuming t is positive.\nAnswer: t**(12230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 86. Let a be -6*2\/(12\/10). Let b = 58 - a. Calculate the remainder when b is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319321370 to the power of 1\/3, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f + 4*m + 16 = 0, -1 = 2*f - 5*m. Let w = 245 - f. Is 35 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -282 - -426. Calculate the least common multiple of y and 312.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -780355 divided by 737\nAnswer: -780355\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653893 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c025475 + -4?\nAnswer: -1c025479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 1\/14*z**7 + 0*z**5 + 0 - 1\/2*z**4 + 0*z**2 + 8*z + 1\/5*z**6 - 1\/2*z**3. Let j(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-6) - 26\/(-12). Suppose -5*l - 4*f = -70, l = 6*l + s*f - 60. What is the remainder when 22 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002 (base 3) to base 16.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -2*sqrt(152)*5)\/((sqrt(72) - sqrt(72)*4) + sqrt(72)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 134 = -464. Suppose -3*t + 15 = -o. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y + 20. Suppose 65*f + 263 + 222 - 160 = 0. Calculate o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 6*m + 5*g + 16, g - 7 = -4*m. Solve p = 4*n + m*p, 0 = -4*n + 3*p + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1254, -1101, -948?\n\"Answer: 153*a - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30\/1709 or 0?\nAnswer: 30\/1709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/5 - 627*w**4 + 3117*w**3\/5 + 15651*w**2\/5 + 9396*w\/5 = 0 for w.\nAnswer: -1, 0, 3, 1044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3959 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66724 + -66724.00031227. Round y to six decimal places.\nAnswer: -0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3127407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 184753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3082276 divided by -92.\nAnswer: -33503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 112. Let b = t + 43. Suppose b = -2*u, -192 = -4*v - 0*v + 2*u. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14206736729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 - 54 = 5*q. Let c be 2\/9 + 305\/q. Let h = -11 + c. Let u(n) = n**2 + 6*n + 2. Calculate u(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 - 27*c**2 + 51*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.75 - 0.2. Let s = -0.05 + i. Let f = -0.5 - s. Which is the biggest value? (a) f (b) -0.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*i - 0 - 6, 6 = 3*x + 4*i. Find the third derivative of t + 0*t**2 - t**2 + 69*t**6 - x*t + 9*t**6 wrt t.\nAnswer: 9360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 - y - 7. Let f be i(-3). Suppose h - 7 = 3*v, 4*h - f*v - 32 = 24. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(35\/6)*(j*j**(-1\/4))\/j**(-2) assuming j is positive.\nAnswer: j**(239\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*k - 2*k = 428, 3*k + 892 = -2*h. List the prime factors of h\/(-11) - (0 - 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*w = -435, 3*k = -2*w - 0*w - 410. Is -6 - -3 - k\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 1061 + 928. Determine r so that 5*r**4 + 30*r - 74*r**2 - 133*r**3 + t*r**3 + 19*r**2 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 65.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -82*p + 28*p. Put -154, p, 3 in descending order.\nAnswer: 3, p, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j**3 - 376*j**2 + 615*j - 3777. Give y(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-383)\/(-2298)*27\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*x - 20. Suppose 4*b + 8 = 0, -x*q + 2*b - 35 = -6. Let c = -7 - q. Let f(l) = l**2 - 5*l. Calculate f(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -w + 12. Let c(k) = -k + 7. Let d be c(5). Suppose -m = -0 - d. Solve -3*q - w - m = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.071144432 less than 7712?\nAnswer: 7724.071144432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.03 - 6.43. Which is the nearest to 0.1? (a) k (b) -0.3 (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3048 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 7, f: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14130 by 30.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x + 486. Give h(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2 - 0. Let s(o) = -1041*o**3 - 1. Let m be s(p). Round m to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-24)*(-1 - 0) and ((-5)\/20*118)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (30 - 27) - 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 7*w**2 - 8*w - 2. Let m be z(8). Suppose -5*u + 95 + 45 = 0. Let h be m\/(-7) - (12700\/u)\/(-5). What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**1*o))\/o)**(-5))**(1\/11))**(8\/7) assuming o is positive.\nAnswer: o**(80\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/33468240 and -7\/235994?\nAnswer: 368150640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 1. Let y(c) = -32*c - 28*c + 61*c. Calculate 2*a(o) + 5*y(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4013577 by 9.\nAnswer: -445953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022474.3ns in minutes?\nAnswer: 0.000033707905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t**2 - 2*t + 131. Let w be u(13). Let z = w + 2861. Is z a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 341\/(-22)*1\/7 and (-1010)\/(-60) - (-2)\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - -16)\/(0 + 4). Let o be 3 + y\/(-5) - 7. What are the prime factors of ((-2)\/o)\/((-8)\/(-1328))?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3009*b - 2978*b + 310 + 62 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u - 6. Let x = 782 - 778. Suppose -a = -u*a - x. Let b(t) = -3*t + 6. Let q(y) = 8*y - 17. Calculate a*q(g) - 11*b(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 44\/(-12))\/(2\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18770, 150197, 506916, 1201571, 2346806, 4055265, 6439592, 9612431?\nAnswer: 13686426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**2\/5 + 190516*l\/5 + 190496 = 0.\nAnswer: -47624, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1*3 - 5*sqrt(187)*2)\/(2*1*sqrt(11) - sqrt(55)\/sqrt(5)*3).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:33 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + p - 40 = 0, 0 = -3*x - 5*p + 3 + 1. Let a = -4 - x. Suppose 5*s = 5*z - 235, 6*z + a*s = z + 203. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)\/c*c*c)\/c*c*c**(-20))**(7\/4) assuming c is positive.\nAnswer: c**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.744828 litres in millilitres?\nAnswer: 1744.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 3 (c) 28433\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*k - 791*k + 463*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 + 279*i**4 - 5175*i**3 - 48999*i**2 - 43542*i = 0.\nAnswer: -6, -1, 0, 41, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 17*f**2 + 41*f - 27. Let g(p) = -9*p**2 - 20*p + 14. Let k(z) = -3*c(z) - 7*g(z). Let u(s) = 4*s**2 + 6*s - 6. Give 6*k(d) - 17*u(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.6 + -18.68. Let d = w + 0.08. What is the fourth smallest value in 0.24, 1, d, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -8*q + 3*q + 3*u + 1, 9*u + 292 = 4*q + u - 31*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 + 2 = 0. Let b = 0.19 - -3.81. Sort 0, b, m in ascending order.\nAnswer: m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-396)\/10 - (-2)\/(-5). Let z be ((-6)\/(-1))\/((-6)\/v). Let r = -25 + z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.1, -1\/3, -12, -0.0295?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*-3 - -9. Let z = a + 1. What is the lowest common multiple of z and (-14)\/(-4) + (-3)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 6*z + 55 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**3\/3 + 13*n**2 + 19*n - 3960. Give q(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020186?\nAnswer: 2, 7, 144299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707 is divided by 836?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*r - 75588, -12*l + 11*l - 2 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1400 >= -1397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2890*y - 80. Let w(p) = -963*p - 24. What is 3*t(b) - 10*w(b)?\nAnswer: 960*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + ((-108)\/4)\/(-9). Suppose -36 = -4*r + o*w, w - 4 = 3*w. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Suppose 2*l = -2*m + 12, 20 = 4*m - 0*m + 2*l. Let w be 4 - ((-1)\/1 - -3). Let v(n) = w*n + m - 4. Calculate c(v(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) + 436\/6. Calculate the highest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 8*a + 18. What are the prime factors of m(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2214 + -2056. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:23 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:25 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/187 and -19\/1904.\nAnswer: 20944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -913579\/24 + 38060. Find the common denominator of s and (-1)\/9*147\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18459*i**3 + 2*i**2 - 32652*i?\nAnswer: 110754*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9811720, 9811695, 9811654, 9811597, 9811524, 9811435, 9811330?\n\"Answer: -8*c**2 - c + 9811729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3372\/131 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let j(i) = i. Let h be 1\/(-3)*75*-3. Let k be (-6)\/(-10) + (-420)\/h. What is k*j(z) + 3*b(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -17 + 7, -t - 5*k - 8 = 0. Let q(c) = -c**t + 102 - 102. Let i(r) = -2*r. What is q(i(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 57.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1152, -2297, -3428, -4539, -5624, -6677, -7692?\n\"Answer: g**3 + g**2 - 1155*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 495*r**6\/2 - 2*r**5\/5 - r**4\/4 - 731*r**2 + r - 5036. Find the second derivative of j(f) wrt f.\nAnswer: 29700*f**3 - 24*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f*f)\/f**(-1\/2))\/(f**(-2\/9)*f\/(f*f\/f**(2\/3))) assuming f is positive.\nAnswer: f**(-89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3095533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277802938 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*p + 31 + 231, p = 1. Suppose 3*t - y = -t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220.4 - 230.365. Let j = l - 0.465. What is j rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(12) + sqrt(12)*1 + sqrt(12)))\/(6*sqrt(18)\/sqrt(3)) - ((sqrt(18) - (sqrt(72) + -3*sqrt(72)))\/(sqrt(18)\/sqrt(50)))**2.\nAnswer: -1250 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4401 - 680 + 3536 = 2477*z - 174 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, -12\/29, -0.0126?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 708 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 18. Suppose 0 = -4*f - 2*j + 6*j + 232, -5*j = -p. Suppose -f = -3*t + 163. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*z + 40, -7*b - 3*z - 4 = -11*b. Factor 12*i**4 + 5*i**3 - 8*i - 8*i**3 - 28*i**2 + 4*i**b + 23*i**3.\nAnswer: 4*i*(i - 1)*(i + 2)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2909*i**3 - 1439*i**3 - 2811*i**3 + (-i + 2*i + 0*i)*(-2*i**2 - i**2 + i**2)*(-4 + 1 + 1).\nAnswer: -7155*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -449.111 to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six sevenths of a week in minutes?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000505323866 to seven decimal places.\nAnswer: -0.0000505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/18 + (-28)\/126)*20\/(-36).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -575558*h**3 + 2613039.\nAnswer: -1726674*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 + -3.15677?\nAnswer: -2.98677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -532 (base 6) to base 15.\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 535 divided by 1.\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkxsxxkkxkkkxskkkk. What is prob of picking 1 x and 2 k?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 3*f + 6*f + f. Let r(u) be the first derivative of 135 - u**2 + 2*u**2 - 137. What is r(b(j))?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11941525 and 1175?\nAnswer: 11941525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-6) + -2 + (-10)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 + -1. Let h = 2 + -4. Let x = -2\/7 + 39\/14. What is the nearest to -0.1 in h, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + n - 5 = 0, 0 = -4*m + 2*n + 3*n - 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 + 6.6. Sort 4, m, -4\/3, 2\/7 in increasing order.\nAnswer: -4\/3, 2\/7, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -68*j - 18*j - 4 - 14*j - 15*j. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 - 80. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*x + 39*x - 4*l - 31, -8*l = -8*x - 3*l + 51 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0656883564 to three dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:32 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10472\/(-231))\/((-1)\/25875). What is l rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -2\/3, -64\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = q + 4*q - 10, 75*f - 2*q + 4 = 73*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 94 = -2*y, v = -2*y + y + 91. Calculate the least common multiple of 24 and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*z - 10*v + 8, 4*z = 4*v + 16. Suppose -z*o + 10*o = 276. What is the remainder when 229 is divided by o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3635981 millennia in centuries?\nAnswer: 3.635981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/21 and 13\/2187?\nAnswer: 15309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f - 3. Let l(s) = -18*s + 14. Let d(r) = -3*l(r) - 14*y(r). Let j(n) = -15*n**2. Calculate j(d(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine sixths of a hour?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**8\/6720 - q**5\/120 + q**4\/12 - q**2. Let w(n) be the second derivative of b(n). Differentiate w(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 36*k + 5. Suppose 3*v - 8 = v. Let h = 7 - v. Is t(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (50\/(-3))\/(2\/(-6)). Suppose 3*h = -b + 34, -5*b = 12 - 32. What is the greatest common divisor of h and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 232291*u**2. Let b(h) = 2*h. Calculate z(b(d)).\nAnswer: 929164*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from {p: 1, n: 2, w: 4, c: 2, q: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 + 56*a**2 + 53*a - 110 = 0. What is a?\nAnswer: -55, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 32255*k + 2096566. Determine s(-65).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -19. Let n = -12 - p. Is n greater than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 14*n**3 + 3*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 74*v**2 + 10*v - 30. Let b be q(10). Suppose -8530 = -5*m - 5*z, -z = 4*m - b + 637. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145005157?\nAnswer: 7, 461, 974591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**2 - 7*s - 1. Let k be d(-11). Calculate the greatest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2.2 (b) -2 (c) 2\/5 (d) 18\/11 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((-103)\/(126175\/(-420))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**4\/24 - h**3\/6 + h**2 + 17. Let d(b) be the second derivative of c(b). Let o = -5 + 1. Calculate d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/6 + 38\/57. Let o(h) = -6*h**2 - 2*h - 4. Let p(m) = m**2 + 1. Determine b*p(i) - o(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 9)*(89*y**3 + 2*y - 175*y**3 + 89*y**3 + 4).\nAnswer: 33*y**3 + 22*y + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 + 15*y - 56 = 0. Calculate y.\nAnswer: 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.15263cm to nanometers.\nAnswer: 11526300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*b**2 + 64\/5 + 24\/5*b.\nAnswer: -4*(b - 8)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3707108, -3707106, -3707102, -3707096, -3707088, -3707078?\n\"Answer: d**2 - d - 3707108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/25)*t**(-2\/7)*t*((t**(3\/5)\/t)\/t)**(-24) assuming t is positive.\nAnswer: t**(6019\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2 - 65*x - 1 - 51*x. Is i(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1688 (b) -2 (c) 5 (d) -0.9 (e) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1972\/9 + -218. Let m = -0.246 + -102.754. Let f = m - -103.4. Which is the third smallest value? (a) r (b) f (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -91, 2, 8, -262, -2, -9 in ascending order.\nAnswer: -262, -91, -9, -2, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1617? (a) 0.046 (b) 1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -310.9 and -0.1?\nAnswer: 31.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/282480 and 103\/240?\nAnswer: 282480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 196*u**2 + 536*u + 736.\nAnswer: 4*(u - 46)*(u - 4)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/((-18)\/(-63)) + 7)\/(0 - 2). Suppose -3*f + 283066 = 5*t, 2*f + 189964 = 3*t + 20113. Suppose k = -17*b + t + 31292. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -315 - -2586. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 8, f: 11}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 22\/503 + 20359\/6036. Calculate the common denominator of k and -169\/1980.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 4*u**2 - 1\/40*u**5 + 0*u**3 - 1\/24*u**4 + 0 + 0*u - 1\/240*u**6. Factor z(a).\nAnswer: -a*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47853 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-28)\/(-12)) + 121\/(-33)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 12:10 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 496 and 248?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z - 73 + 31. Let g(l) = l**3 + 5*l**2 - l + 8. Let p be g(-5). Is p < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147.02575 - -0.14425. What is n rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -110?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -1\/5, -1.2, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.84 + 2.89. Which is the nearest to -0.2? (a) 0.06 (b) z (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*r - 20, -4*r + 15 = -x + 29. What is the nearest to 1\/2 in -5, -3\/55, r?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -4 + sqrt(15)\/sqrt(5))**2 + (sqrt(192)*-3)**2*2)*3.\nAnswer: -30*sqrt(3) + 10452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*y**2 + 44*y**4 + 21*y**2 - 153*y**4 - 117*y**4 - 12*y**2 wrt y?\nAnswer: -5424*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 310*x**2. Let f(y) = -2*y + 21. Determine u(f(j)).\nAnswer: 1240*j**2 - 26040*j + 136710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12190 is divided by 826?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10577 + 5?\nAnswer: 1057c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024355 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/1151?\nAnswer: 6\/1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*m = 314, -3*x = -7*x - 4*m + 248. Suppose -5*p + c + 118 + 20 = 0, -p + 36 = 4*c. Let l be (-8)\/p - x\/14. Sort 0, -4, l in increasing order.\nAnswer: l, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75.05 + 75. What is the nearest to 1 in 1, z, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. Let s = 22 + -10. Solve 0*n + 4*b = -2*n + 14, s = a*n + 4*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (8060\/936)\/155\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*z + 17234 = 610*z + 208*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5) - 1)*(6 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 65263?\nAnswer: 652630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (7 - 4 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from fkbeeeef?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 6*d. Let z(m) = m**2 + 7*m + 1. Let a(b) = 2*u(b) + 3*z(b). Let i be a(-9). Solve -i*o + o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 4 - (52 - 15 - 23)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480, -876, -1272, -1668, -2064, -2460?\nAnswer: -2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 250230\/912 + (1 - 22\/16).\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**3 - 5*g**2 + 5. Let r(b) = -6*b**3 - 6*b**2 + 6. Determine -6*m(o) + 5*r(o).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - f - 9 = 0, -4*f - 15 = 2*c - 23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) 1\/3 (b) -5 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 1, v: 1, y: 2, p: 1}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*b**2 - 160*b - 20 = 0. What is b?\nAnswer: -2\/5, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643 + 4 + -3 + -9?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = 4*m. Suppose -319*t - 6*t = 243*t. Solve t = 2*k + 14 - m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113917521 to the power of 1\/3, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 130*b**2 - 2*b + 7. Let y be n(3). Let d = 2538 - y. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/7)*w))\/w**(5\/3))**(1\/2)\/(w**(-1\/5)*w**(-4))**(6\/7) assuming w is positive.\nAnswer: w**(283\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggooojojjrror. What is prob of sequence jjj?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r + 43. Let p be b(4). Find the common denominator of 218\/18*p\/((-520)\/(-30)) and 32\/105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*l + 1253*l = 517*l - 1040 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 1\/3*y**3 + y - 1\/4*y**4 + 1\/2*y**2 + 2. Let f(g) = g**2 + 2*g + 2. Determine f(u) - 2*k(u).\nAnswer: 2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-105))\/(90\/(-70)). Let y = 2831\/9 - 315. Which is the second biggest value? (a) y (b) 0.4 (c) -2\/15 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(88)\/sqrt(8) + 3*3*sqrt(11).\nAnswer: 4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6162564*k**4 + 527210?\nAnswer: -24650256*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Suppose -5*b + 15 = -3*f, 2*b - 6 + s = 5*f. Put -2\/7, b, 4 in decreasing order.\nAnswer: 4, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-65))\/2*-13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57 + 63?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -584, -1554, -2900, -4616, -6696?\nAnswer: -9134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/11*((-8)\/(-464)*2367 + -41)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -4.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - (-11 - -11)) + 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -5.7 (b) 58129\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b828 - 0?\nAnswer: b828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/39, 1\/3, 3, 6\/7.\nAnswer: -1, 1\/39, 1\/3, 6\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 7*p**2 - 8*p - 10. Let b be r(-8). Let y be b + 10 - 6\/4. What is the nearest to 0.2 in -5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -397.7 and 0.2.\nAnswer: -79.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 14 = 20. Let z be 0\/(-4 + a) - 11. Is z > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 1, i: 3, b: 1, f: 5, u: 1}. What is prob of sequence rbui?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 62 + (10 - -10)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19758527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2743223.\nAnswer: 7, 391889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 + 670*s**3 + 2405*s**2 - 25080*s + 35100 = 0. Calculate s.\nAnswer: -130, -9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/22 and -37\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 3*i - 0*i + 48 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1606 by -45327.\nAnswer: -1606\/45327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 253 - 283 = 0. Let i(s) = 132*s**2 - 7*s - 25. Is i(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 196, 181, 150, 97, 16, -99?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(24)\/sqrt(2)) - (sqrt(5040) + sqrt(5040)*-2))\/(-1*(sqrt(7)*-5*-2 - sqrt(7))) + 0.\nAnswer: -13*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*h - 28, -w - 2*h - 3 = -19. Let q = 5 + 5. Suppose -2*d + q = -d. What is the least common multiple of d and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (286\/65)\/11*(-3)\/(-24)*50?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 3*j**2 - 5*j - 13. Suppose 4*f + 32 = 2*l, 7*l - 4*l - 2*f = 32. What is the units digit of w(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 137 + 55. Let r be (-6)\/8 + (-8)\/m. Let y = -5 - -10. What is the nearest to r in 3, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30473779?\nAnswer: 7, 4353397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0, 9458, -25, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -29*c + 127 + 34 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14663 (base 7) to base 14.\nAnswer: -16da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 3.7975673?\nAnswer: -3.7975673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2\/4 + (-174)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.45*-1.196\nAnswer: -2.9302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -3*d - 4*t, -29 = -d + 5*t. Let p(c) = -6*c + 6*c**2 - 15*c**2 + 8*c**2 - d. What is p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975294 is divided by 106.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3751202 - 3?\nAnswer: 3751177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 21\/4, -9, 1\/4, 0.34, -1\/2?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2. Let t(z) = -4*z**2. Determine k(t(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, t: 1}. Give prob of sequence hht.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 723783, 723781, 723779?\n\"Answer: -2*u + 723785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-5)\/(-20)*2. Suppose -a = -3*p + 9, a - p - 4 = -d. What is the remainder when 14 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o, 0*o - 2*o + 38 = -4*f. Let i be ((-4)\/(-5))\/((-2)\/f). Suppose 3*g = 4*x + 1057, -1400 = -i*g - 0*x + 3*x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 4*f = -12. Let z be 20 - (0 - (0 - -2)). Let m = z + -13. Calculate the highest common divisor of f and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*g = r - 13, -2*r - g = -8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + -165. Let s = -219 - c. Let u = 72 - s. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52610*o**3 - 9*o**2 - 138*o - 3 wrt o?\nAnswer: -315660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:03 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7916 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 59?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 5:35 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(788*l + 593*l - 975*l) + (4*l - 6*l + 10*l)*(-2 + 4 - 3).\nAnswer: -414*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v - 11\/30*v**5 + 0 + 4\/3*v**3 + 0*v**4 + 3\/20*v**6 - 2\/105*v**7 + 5*v**2. Suppose x(j) = 0. Calculate j.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 2. Let t = 0 - v. What is the second derivative of -t*m + m**3 - 68*m**4 - m**3 + 74*m**4 wrt m?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264\/(-308)*5\/(180\/6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3045, -3051, -3059, -3069, -3081, -3095?\n\"Answer: -d**2 - 3*d - 3041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from eeffbefpbebpe?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 0.3084.\nAnswer: -2.1588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1228635 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - -72. List the prime factors of i.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 65.\nAnswer: 22\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 10:42 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - y - 18 = -0*l, -l - 3*y - 12 = 0. Sort l, 1, -5 in increasing order.\nAnswer: -5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**6\/90 + m**3\/3 - 9*m**2. Let s(i) be the first derivative of u(i). Let q(j) = -5*j. Give s(q(y)).\nAnswer: 100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 23032 - 23090 = -2*k, -5*r = 5*k - 115 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l - 29*l = 5*q - 248, 0 = -3*l - 9. Calculate the greatest common divisor of 1404 and q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-2\/7))*q*q)**(6\/5))**(-40)*((q\/(q\/(q*q\/q**0)*q*q)*q)\/q)**(1\/25)*q*q\/(q**(-3)*q)*q**6 assuming q is positive.\nAnswer: q**(-698\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 783378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/7 + 37*b**4\/7 + 394*b**3\/7 + 970*b**2\/7 + 901*b\/7 + 289\/7 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 - 6*n**2 - 4*n**3 + 6 + 6*n + 4*n**2 + 3*n**2. Let o(x) = -x**3 - x - 1. Determine -i(c) - 6*o(c).\nAnswer: 4*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/20 + (-62792)\/90 + 2802\/(-21015). Which is greater: s or -698?\nAnswer: -698","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112, -276, -494, -766?\n\"Answer: -27*f**2 - 83*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181144688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 6*u**2 - 2*u**2)*(3 - 2 + 1)*(3*u**2 - 6*u + 6*u).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*h + 5002566 = -54626. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*c + 3, -2*c + 5*c - 5 = o. Let s be (6\/o)\/((-9)\/(-12)). Suppose -2*d - 4 = -s*p - d, -3*d - 3 = -3*p. Solve -p*w = w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 267721 + 144171 = 0. Calculate the greatest common factor of c and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*n - 42, 5*o = 4*o + 5. Find the common denominator of 13\/6 and ((-6)\/27)\/(n\/24).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 402283599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1555 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 1\/9, -2, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 12*q - 46*q - 40. Let k(r) be the third derivative of -r**4\/8 - r**3\/2 + r**2. Let p(o) = -o**2 - 7*o - 7. Calculate q*p(b) + 7*k(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*y**5 + 112*y**4 + 146*y**3 + 86*y**2 + 22*y + 2.\nAnswer: 2*(y + 1)**3*(4*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*p = 12*b - 31, 0 = p - 4. Sort -3, 22, b, -18.\nAnswer: -18, -3, b, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17401383 and 3421?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:56 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -43. What is the tens digit of (-3152)\/(-20) - 6\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 48*f**2 - 2*f + 48. Let r be x(48). Let g be r\/(-27) - (-6)\/27. Solve 2*k + 2 + 8 = 4*a, g*k = -a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9*(-4 - 70\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984541 is divided by 426.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.103 - -4.197. Let f = -8 - -8.3. Let r = f - j. Which is the second smallest value? (a) 5 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.66843701 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = -0*m - 2*m. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148248 and 69864?\nAnswer: 6078168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*s - 125, -4*n + 524 = -0*s - 4*s. Suppose 4*l = 3*l + n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 65 - 139. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 11. Let t(q) = -2 - 2*q + 4*q - 3*q. Suppose 19*s + 0 + 266 = 0. Let d be s*(-14)\/(-147)*(-6)\/4. Give d*f(m) + 11*t(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 - 4*p - 13. Let x(b) = 7*b**2 - 3*b - 13. Let w = 11 + -7. Let h(k) = w*x(k) - 3*q(k). Differentiate h(r) wrt r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266174*l - 14 = -266160*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28\/5 + 304\/(-76)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {v: 2, p: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4.6.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((2*sqrt(45))\/sqrt(9) + sqrt(5))) + (sqrt(10) - sqrt(10)*-2)\/sqrt(2).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13912 + -1043377\/75. Find the common denominator of 4\/225 and o.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*r - 4, 2*r - 85 + 61 = -5*a. Solve 2*u - 13 = -a*t - 15, -5*u - 5 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - sqrt(136)*2*-3 - -4*-2*sqrt(136))\/((sqrt(800)*5)\/sqrt(4)).\nAnswer: -sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 115 (c) 2\/3 (d) -17002 (e) 3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -468.44375 to the nearest integer.\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(3*1 - 57\/9). Let j be (7\/(140\/296))\/(2\/o). Suppose -24*c + 25*c = j. What are the prime factors of c?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121\/42 - 19\/6. Suppose 10*k = 1 - 11. Put k, 5\/3, r in descending order.\nAnswer: 5\/3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(4*sqrt(250)))**2*2.\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(2 - -4)\/3. Suppose -m*i + 68 = 5*n, -i + 16 = i - 2*n. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-16)*(-80)\/25*80\/(-12)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 7*b - 31. Let k be i(4). Suppose -5*x + j = -3*j - 630, 3*x - 415 = -5*j. What is the highest common divisor of k and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2 + 1 - 3*b + 2*b**2 + 4*b + 3*b**2. Let h(v) = -4*v**2 - v - 4. Let y(l) = -4*h(l) - 3*i(l). Give y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a millennium in centuries?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3638 = 342*m - 376*m. Does 40 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9147*b + 25545*b + 17432*b.\nAnswer: 33830*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = f + 5, 2*f = -3*c - c - 6. Calculate the least common multiple of (f - 5 - -1)*-2 and ((-15)\/(-12))\/(4\/16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 6*b - 1. Let m be w(5). Suppose c + 3*v - 5*v - 114 = 0, -v - 477 = -m*c. What is the greatest common factor of c and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142663 (base 7) to base 9\nAnswer: 41564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 28. Let h(a) be the third derivative of a**4\/12 + 7*a**3\/3 - 4*a**2 + 22*a - 5. Calculate 5*h(f) + 3*m(f).\nAnswer: f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5 + 4557619*c**3 + 1430*c + 187.\nAnswer: -20*c**3 + 27345714*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3085659\/15904759913 + -3\/240613. Let w = m - -403215944\/859313. Let v = -469 + w. Is 1 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -202393?\nAnswer: -202393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 3:12 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 212413?\nAnswer: 212405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {b: 2, k: 11, j: 1, e: 1, y: 2, v: 1}.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 123. Suppose f = 3*f - o. Let a(b) = b + 3. Let q be a(-3). Solve q = -m - 3*m + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 22375\/15799?\nAnswer: 22375\/15799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 327160 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 522553980 rounded to the nearest 1000000?\nAnswer: 523000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6161 - 6128. Suppose 7*w = -4*u + 2*w - 143, 0 = 4*u - 5*w + 113. Let p = 121 + u. What is the remainder when p is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -903 - -812.8. Let x = o + 90.18634. Round x to 4 decimal places.\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4937 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -677, -708, -741, -776?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34839410*i*z**2 + 999181*z**2 - 5*z wrt i.\nAnswer: 34839410*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 4*h + 2. Calculate the remainder when q(-9) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-2 - 1\/2). Solve 5*b + 0*b + x = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 0*y + 0*y)*(-y**2 + 5*y**2 - 2*y**2) + 7 - 7 + 2*y**3 - 2*y**4.\nAnswer: 4*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 982288 divided by -122786?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 1634*z = 1630*z + 32, 0 = -18*x + 3*z - 156 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 1) + (1 - -3) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4105625 weeks to minutes.\nAnswer: 4138.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3883 to 2 dps.\nAnswer: 4.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 4*a. Let s be c(3). Suppose -n + 7 = s. Suppose 0*q + n*q = 12. Solve 2 = -d - 3*f, -3*f - 2*f - 2 = q*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16600582 to the nearest integer?\nAnswer: 4074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 + 2*w - 4. Suppose 0 = -2*i + 6, -4*i = 2*k - 0*i - 8. Let q be u(k). Solve j + 2*a + 3 + 3 = 0, 3*j = -q*a - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + d = 4*d, b + 12 = 5*d. Solve -i = 2*i - b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 4410 (c) 0.2 (d) 4 (e) -6\/7 (f) -1\/2 (g) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 + 20620*v**2\/3 - 2020304*v\/3 = 0. Calculate v.\nAnswer: -3532, 0, 286\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 + 20*s**2 - 4*s + 17. Give c(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -10.8. Let w = p + 6.8. Which is the closest to -1? (a) w (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5358064150*m**2 - 10716128272*m**2 + 5358064117*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/10 + 1 + -3. Let h = 5 + 0. Let r = 4.5 - h. Put r, 0.1, j in decreasing order.\nAnswer: j, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 965 + -689. Suppose u = o + 2*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -55 (c) 11 (d) 0.1 (e) 167 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(88))\/sqrt(11)*3)**2.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 5*f = 23*k + 37, 28 = 4*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6656)\/(-80) - (0 - (-2)\/10).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-7) - (-2)\/2. Suppose -4*a - 6 = -q - 7*a, a = 3*q - 8. Let n be (-4)\/(2 - 0\/q). Put u, -4, n in decreasing order.\nAnswer: u, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753\/(-6)*(3 - 9) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - 7822700346.5\nAnswer: -7822700296.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2312680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.41 + 42.41. Which is the smallest value? (a) k (b) 6 (c) -0.5 (d) 1\/7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8796444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270712*b**4 + 4*b**2 + 29774*b wrt b.\nAnswer: 6497088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.7, -66, -1\/5 in descending order.\nAnswer: 16.7, -1\/5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(637) - -3*sqrt(637)*-2) + 5).\nAnswer: -18 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + t**2 - 18*t - 3. Give i(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2270950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 444*b + 16946. Calculate j(177).\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 m, and 1 n when four letters picked without replacement from {m: 4, i: 3, n: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 6*y + 3. Let b be f(8). Let v be (7\/2)\/((-2)\/(-12)). What is the greatest common factor of v and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1844*h**3 - 26*h + 15*h + 2*h.\nAnswer: -1844*h**3 - 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1696 = -4*p + 7*p, j + p - 843 = 0. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-21)*33\/(-154)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 14*n - n**2 - 1 + 18*n - 28*n. Calculate w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -16. Suppose 4*a - 6*a = a. Solve 0*l + 2*l - 5*d - h = 0, a = -3*l + d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 92*f**3 - 7 + 3 - 89*f**3. Suppose -2*n = -7*n. Suppose 5*c + 1 + 9 = n. Let k(v) = v**3 - 1. Determine c*t(z) + 7*k(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10140, -20281, -30422, -40563, -50704, -60845?\n\"Answer: -10141*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Suppose -p - c = -135, p - 152 = -2*c - 16. Suppose t*u - 2*o - 136 = -2*u, -p = -4*u + o. Calculate the greatest common factor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 794483, 794498, 794525, 794564, 794615?\n\"Answer: 6*c**2 - 3*c + 794480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:32 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -861, 16601, 34063?\n\"Answer: 17462*p - 18323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*z + 25, 45 = 4*j - 0*z - 3*z. Let x = j - 13. Suppose s - 2 = -y, -4*y - 24 = -11*s + 7*s. Solve 2*k - s = h, -x*h - 8 = -k - 2*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/((-55)\/11)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 86 = 11. Let u be c\/(-5) + 2 + -5. Suppose 0 = -4*o + 20, -5*o + 50 = -u*y + 5*y. Solve r + 2*l = 0, y*l - l = 3*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -695*j - 542*j - 1018*j + 38*j in the form n + s*j and give s.\nAnswer: -2217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1172, 4681, 10538, 18749, 29320, 42257?\n\"Answer: b**3 + 1168*b**2 - 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261242431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, b: 2, x: 1, c: 1, j: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 33*q + 722. Calculate s(-16).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, 0.101, -0.08 in increasing order.\nAnswer: -0.08, 0.101, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 - 41*z**2 + 46*z - 17. Let l be c(13). Solve 5*t + l = 233 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 446380 and 892760?\nAnswer: 892760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 271*g**2\/3 + 2104*g\/3.\nAnswer: g*(g - 263)*(g - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-15 + 19) - -22) + 22 + 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 231 = 1551. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523455, -523397, -523363, -523365, -523415?\nAnswer: -523525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-16)*((350\/(-15))\/(-7))\/((-15)\/18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3908113734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121201112220 (base 3) to base 5.\nAnswer: 41013211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33\/8*j**2 + 0 + 9\/8*j**4 - 15\/8*j**3 - 9\/8*j = 0. What is j?\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2491*b*f**4 - b*f + 76*b - 68*f**4 - 532 wrt f?\nAnswer: -29892*b*f**2 - 816*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24646425*p**2 - 2*p - 83155875?\nAnswer: 49292850*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 4. Let m be t(-3). Let c be -2 + (34\/2 - m). Suppose c = 4*a - j, 3*a - 4*j - 9 = -2*a. Solve a*k - 4*l + 3*l + 7 = 0, -l - 9 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*i - i. Suppose -13*p = -i*p + 1240000. What is p rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-12)*16\/6. Suppose -l*u + u = -42. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/1583?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000736 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12237.0951464 - -0.4.\nAnswer: 12237.4951464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001322499989 rounded to 7 dps?\nAnswer: 0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 44*q + 7 + 5 = 40*q, 2*p - 2 = 5*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -5, -1503, 2.4, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + y**2 + 5*y**2)*(0 + 0 - 1 + (-1 + 3 + 0)*(0 - 1 + 0)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m - 1. Let c be (210\/(-45))\/(6\/(-9)). Let h be (48\/20)\/(2\/5). Suppose c = -f + h. Determine g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1268806680 divided by 6.\nAnswer: 211467780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7.1 (b) 7\/4 (c) -1 (d) 3\/7 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-583204.\nAnswer: -291602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1030 + 115055?\nAnswer: 114025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1, -4, 1\/315724, 1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 25. Let q be (-815)\/(-35) + 3 + 2\/d. What is the second derivative of -1207 + 13*k - q*k**3 + 1207 wrt k?\nAnswer: -156*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -43?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Let p(q) be the third derivative of -q**4\/24 + q**3\/6 + 6*q**2. Determine p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s - 59*s**3 + 56*s**3 + 0*s.\nAnswer: -3*s**3 - 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2248600 to the nearest ten thousand.\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-7) + (-32)\/(-56). Calculate the remainder when 21 is divided by (-6 - -3 - -11) + d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110956 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: Round 0.0209660689 to 6 dps.\nAnswer: 0.020966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22506 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-5)**2 + 5 + 0 + sqrt(325) + 0 + ((sqrt(325) + (1*sqrt(325))**2)*-4 - ((-1*sqrt(325) + 3)**2 - sqrt(325))).\nAnswer: 20*sqrt(13) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6 - 4 = 0. Let x = 3431 + -3382. Differentiate 13*d**k - 7*d**2 - x - 10*d**2 + 6 with respect to d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*m + 902*m**2 - 898*m**2 - 103*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**3 + 462*y**2 + 87*y + 44. Let j(a) = 3*a**3 - 169*a**2 - 29*a - 15. Let x(p) = 4*b(p) + 11*j(p). Calculate x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 46*l + 258. Determine y(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6342020 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*2)\/((-22)\/(-308)*4). Suppose -68 = -3*y + 2*r, 2*y - y - 21 = r. Suppose -5*s + 2*s + 1 = -2*a, 2*s + 5*a = y. Solve 0 = -s*j + 19 - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, 144 in decreasing order.\nAnswer: 144, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhbhbhbhhbhhhbh. What is prob of sequence hb?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = 0. Suppose 0 = -3*p - 4*d + 25, -p + z*d + 2*d = -25. Suppose r - 3*m = 6*r - 20, p = 3*m. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1885 = -1886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q. Let i(k) be the first derivative of k**6\/360 + 13*k**4\/24 + 2*k**3\/3 - 3. Let n(j) be the third derivative of i(j). Determine n(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3024850303 to the nearest one hundred thousand.\nAnswer: -3024900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -14855139 greater than or equal to -14855139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/100)\/((-18756)\/(-360) - 52). Factor 1\/5 - i*c**2 + 0*c.\nAnswer: -(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 47481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(55) - sqrt(55))*-2 - sqrt(55))\/(sqrt(80)*6).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5*r - 64, 2*k - 21 = r + 11. Let h = k + -11. Solve 0*s - h = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xssxxxxxxxx. Give prob of picking 1 x and 1 s.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6540 <= -415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - n - 1 = 0, f + n = -4*n - 5. Suppose f = -x - 3 + 4. Solve k - 5 = -x, -5*z + k = -21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l**2 - 2 + 5*l - 1\/4*l**4 + 1\/3*l**3. Let m be j(0). Solve -28 = 3*i - 5*q, -m*i + 2*q = -0*q + 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 5. Let p be a(-9). Let j = 32 + p. Calculate the greatest common factor of j and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1437 * 4.\nAnswer: 4.5748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6108 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2732, 10920, 24570, 43682, 68256?\nAnswer: 98292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009682931 to 5 decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -2)\/((-10)\/(-6)). Let g be 100\/(3*(-2)\/(-6)). Let u be 40\/30 + g\/(-66). What is the nearest to 1\/3 in -0.4, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -2 + -1 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - -10)*(-1)\/(-2). Let s be 3\/v - 13\/3. Let f be 1*2*(-2)\/s. Let q(l) = 8*l + 1. Determine q(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = 3*n. Suppose -l + j + 116 = n, 3*l - 24*j = -25*j + 356. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {r: 2, u: 7, q: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -295 + 4 + 14 + 575*g wrt g?\nAnswer: 575","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278150.6 litres to millilitres.\nAnswer: 278150600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-18))\/(97\/(14938\/22715)).\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8394\/(-34975)*250\/(-555)?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77308998 by -361257.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -5 + 7 - 3 - -25.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b + 3*q - 96 = 0, -5*q - 14 = -b. Suppose b*p = 34*p - 40. Calculate the highest common divisor of 6 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 149332685.28 to the nearest 100000.\nAnswer: 149300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3. Let h(p) = -7*p**3 - 5*p**2 + 5*p. Let j(k) = -h(k) - 6*u(k). Let v be j(-6). Let i(a) = -7*a - 5. List the prime factors of i(v).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.107282 and 14.\nAnswer: 13.892718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -54082, 5, 1, -1 in decreasing order.\nAnswer: 5, 1, -1, -54082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 46*w + 10 - 3 in the form t + f*w and give f.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 8 - 4. Let b = 0 - c. Suppose 0 = b*h + 2*h + 16800. What is h rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/3)*i**(1\/7))\/(i\/(i\/i**(-1)))**(-22) assuming i is positive.\nAnswer: i**(-424\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 2. Let l be 16\/(-6)*(-9)\/(-4). Let h be ((-15)\/l)\/(1\/2). Which is the nearest to f? (a) 4 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, n: 1, a: 2, o: 3}. What is prob of picking 1 o and 1 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let l(y) = 6*y + 1. Let x(q) = 6*l(q) - 34*r(q). Let b be x(7). Suppose 3*h = 37 + b. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((21 - 10) + -12 + (-16)\/(-6)). Is c != 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122602 (base 8) in base 5?\nAnswer: -2323440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66348 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.58858 seconds?\nAnswer: 9588.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6542 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {n: 1, v: 2, k: 3, p: 1, l: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - 2) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2\/7 + 50312*u\/7 - 200800 = 0. Calculate u.\nAnswer: 28, 12550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 10*l**2 + 11*l. Let a be n(11). Solve -5*x - 5 - 5 = a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Suppose 5*w - z*w = 8. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24813046927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 1\/360*w**6 + 0*w + 1\/6*w**4 + 7*w**2 - 1\/3*w**3 + 0 + 1\/30*w**5. Let f(a) be the first derivative of z(a). Factor f(x).\nAnswer: (x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.940941 rounded to one dp?\nAnswer: -138.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*5\/(75\/(-24)). Suppose h = -h + y. Let i be 1 - 0 - (h + -1). Sort 1\/4, i, 0.3 in increasing order.\nAnswer: i, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -9, -14, 2 in increasing order.\nAnswer: -22, -14, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -7*q - 30. Suppose -q = -5*n + 3*n. Solve -d + 0 = -n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 10*p - 29. Give h(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -67. Let f be 12\/g*3\/(3\/35). Suppose 2*p - 18 = -3*q, 3 = 5*p + 4*q - f. Solve i = -0*i - p*w - 5, 0 = -3*i + 4*w - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + (sqrt(153)*3*-4 - sqrt(153)))\/(sqrt(81)\/(1*sqrt(9) + sqrt(9)) - sqrt(9) - sqrt(9)).\nAnswer: 22*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282575150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**3 + 82*u**2 + 168. Let b(s) = -2*s**3 + 27*s**2 + 56. Let c(w) = 14*b(w) - 5*p(w). Find the first derivative of c(x) wrt x.\nAnswer: 6*x**2 - 64*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(30)\/(sqrt(5) - sqrt(80))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from dvvtdttdddtvvv?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-15)\/40 + 44\/32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.12 and -0.15916.\nAnswer: -6.2263392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**3 - 7*d**2 - 6. Let m be (14\/10 - 1)\/(1\/(-15)). Let z(g) = 3*g**3 - 6*g**2 - 5. Calculate m*z(f) + 5*x(f).\nAnswer: 2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 332429806 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9131.54 weeks in hours?\nAnswer: 1534098.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Let o be -2*((-26)\/117 + 65\/234)*-6. What is the nearest to -1 in o, 2, q, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 2*q**3\/3 - 4. Let z(g) = -2*g - 179. What is z(a(r))?\nAnswer: -4*r**2 - 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56.9 and 3.\nAnswer: 59.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -4.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, 104, 289, 542, 857, 1228, 1649, 2114?\n\"Answer: -a**3 + 43*a**2 - 11*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, e: 5}. Give prob of sequence ekk.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 4 - 41*b**4 + 0*b**4 + 121*b**3 - 5*b - 4*b**2 + 6*b**2 - 113*b**3 as q*b + r + h*b**3 + s*b**2 + l*b**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by -191\nAnswer: 145\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2058, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 137*m**2 + 208*m - 177. What is u(-70)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 6. Let b be m(-6). Let z(k) = 1847*k + 59. Let v be z(1). Suppose 14 + b = 4*u, 4*c - 2*u = v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o**5 + 65*o**4 + 45*o**3 - 45*o**2 = 0. Calculate o.\nAnswer: -1, 0, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17820878\/3 or -5940294?\nAnswer: -5940294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.91657ml in litres?\nAnswer: 0.05191657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -12 + -2 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63312 is divided by 974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2248.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1716 and 13046748.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627 is divided by 367?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86591560 + 51792560. Round n to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12264\/952 + (-6)\/(-51). Sort p, -33, 0.4, -0.2 in ascending order.\nAnswer: -33, -0.2, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -13 - 6) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**10*y**(9\/5)\/y)\/(y**(2\/3))**27 assuming y is positive.\nAnswer: y**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*c + 97*c + 10088 = -89*c + 145*c for c.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 16*p**2 + 16*p - 1. Let i be g(-3). Suppose -99*a = -i*a. Solve 3*t = 0, -15 = 3*d - a*t - 2*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13.298 and -0.63063189.\nAnswer: -13.92863189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*l - 80, -2*z - 74 = -4*z + 2*l. Solve 2*u - 15 = -g, -4*u - 3*g + z = -0*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i - 12. Let k be z(6). Let s be (-60)\/k + (-1)\/(-3). Let y = s + -1. Solve 4 = o - y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/67? (a) -3 (b) 1 (c) -1\/3 (d) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-624)\/(-195))\/(-2 + (-48)\/(-25)). What is the common denominator of ((-595)\/i)\/(9\/(-12)) and -103\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 10 - 129\/2*y - 387\/4*y**2.\nAnswer: (y - 20)*(4*y + 1)*(5*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 v, and 1 g when three letters picked without replacement from gkgkvzkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3953 - -3991. Solve -29*z = -a - 49 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 - 6*w**2 - 2*w. Let n be t(-2). Calculate the highest common factor of n and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.5, 5, -0.2, -13026, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 - -4)*(-3 - 25\/(-9)). Suppose 14*u = i*u + 864. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 17*a - 2*a)*(78*a**2 + 73*a**2 - 181*a**2 + 51*a**2 + 8*a**3) to p + h*a + t*a**4 + z*a**2 + k*a**3 and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor -12*l**3\/7 + 90*l**2\/7 - 114*l\/7 + 36\/7.\nAnswer: -6*(l - 6)*(l - 1)*(2*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -17*f**4\/4 - 2*f**3\/3 - f**2\/2 + 2*f + 161. Give y(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 + 54*t**2 - 166*t + 111. What is o(3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 699\/(-1)*(-33)\/495 - 46\/(-115)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 2*i - 5*i)*(-58 - 55 + 112 - 7*i) to u*i**2 + z + b*i and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/13 (b) 2\/121 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/5)\/((-790)\/25 + 31). Suppose -8\/15*w**3 + 4\/3*w**j - 4\/15 - 16\/15*w**4 + 2\/3*w**5 - 2\/15*w = 0. What is w?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (5 + -14)) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 4)*(-6 - 12*s - 2*s + 9*s).\nAnswer: -40*s - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -21. Suppose -7 + y = 4*t. Suppose t*f = 5*f - 758. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(2\/137)*d\/d**(5\/4)*((d\/d**(-4\/7)*d)\/d)\/d)**13 assuming d is positive.\nAnswer: d**(16757\/3836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66410*i**4 + i**2 + 25239*i wrt i.\nAnswer: 1593840*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 76, 91, 108, 127?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298 + -200. Suppose -2*m - 3*z + 320 = 0, -2*m = 5*z - 121 - 195. Let s = m - a. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/44*-3*((-168)\/(-5))\/(-21)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18 - 4) + -3 - -1. Let a be g\/8 + 1\/2. Let h be 585\/(-63) - a\/(-7). Are -10 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/3 + 16*u**3\/3 - 26*u**2\/3 - 81. Factor r(p).\nAnswer: 4*p*(p - 1)*(p + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 22. Let g be a(-8). Let o(j) = -4*j - 3*j - 7 + 5*j - 2. Calculate o(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2024214 - -41?\nAnswer: 2024310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q*y + 17*q + 44*y wrt q.\nAnswer: 5*y + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 32. Suppose -s*n + 14 = -0*n. Let o = -220 - -246. Calculate the remainder when o is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61c566 (base 13) in base 8?\nAnswer: -10554134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 greater than 924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.5 (c) 3.1 (d) 0.2 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaabbaaa. What is prob of sequence bb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 3\/(9\/12). Let z(l) be the second derivative of l**4\/4 + l. Determine z(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -a, -10 = -0*m + m + 4*a. Let j be (m - 1) + 82\/24. Let l = j + -11\/12. Put -3\/8, l, -1 in descending order.\nAnswer: -3\/8, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 390, -2, 6, -6.\nAnswer: -6, -2, 2, 4, 6, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeey when four letters picked without replacement from {e: 3, y: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*s = -3, w + 9*s - 12*s = -4. Sort 10, w, 0, 3.\nAnswer: 0, 3, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - s**2 + 20. Let n be q(0). Let o = n - 11. Suppose 12*y = o*y + 24. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 372\/1097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3314*v**3 - 1796*v**3 - 2180*v**3.\nAnswer: -7290*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 - 110. Let h(j) = -j**2 - 16*j + 20. Let u be h(-16). Suppose -3*d - u = -98. What is the highest common divisor of d and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 5)\/((-1)\/3). Suppose -2*j = -g + 4*g - 12, o = 3*j. Solve -4*n - 14 = 2*a, -5*n + 2*n + g*a = 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, c: 1}. Give prob of picking 3 u.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Suppose 0 = -l*i + 12*i - 161. Calculate the highest common divisor of i and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 1. Let r(a) = 1892*a**3 - 18*a + 6. Determine -6*j(t) - r(t).\nAnswer: -1892*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 104 - 2. Calculate the highest common divisor of 68 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0544 and 0.141.\nAnswer: 0.0866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(-4*(0 + sqrt(448)) + (0 + (sqrt(28)\/sqrt(4))**2 - sqrt(7))*-4).\nAnswer: 52 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49, -189, -423, -751?\n\"Answer: -47*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/105*(-10)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 + -4*(-4)\/(-8). Let t(r) = 16*r**2 - 20 - 15*r**2 - 3 + 12*r. Let g be t(p). Solve 3*m - 7 = g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 310*s + 568 with respect to s.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001395791 to 5 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylhj when four letters picked without replacement from dyjdjdylyyjyyjyyh.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2 + 6*(3 + sqrt(396))*6)*1)**2.\nAnswer: 45360*sqrt(11) + 524241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -2773?\nAnswer: 2768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 + 139*d - 82. Let p be (-2)\/(-5) - 666\/(-10). Suppose 7 + p = 2*h. Calculate the remainder when s(22) is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12202112222122 + -1122?\nAnswer: -12202120001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 3. Let o(l) = -3147*l**2 + 8. Determine o(u(r)).\nAnswer: -3147*r**2 - 18882*r - 28315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/6)\/((-9)\/66). Solve -2*m - 4*u - 10 = 0, 2*m + 2*u + k = -3*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/120 + g**5\/10 + 3*g**4\/8 + g**3\/3 - g**2 + 1. Let b(v) be the second derivative of j(v). Is b(7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303010 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -46. Let q(b) = -b + 2. Suppose 6 = 2*u - 0*u. Let g be q(u). Sort x, g, 1 in decreasing order.\nAnswer: 1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiyi when four letters picked without replacement from {y: 3, a: 3, i: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100947079594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**2 + 31*q + 2. Let r(o) = 8*o**2 - 31*o - 2. Give -5*r(k) - 6*u(k).\nAnswer: 2*k**2 - 31*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1489722\/(-312) + -37)*(0 - 3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2) + 45 + -28.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/30 + 2163\/35?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 1, f: 1, g: 3}. What is prob of sequence fag?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.4. Let t(m) = -m**3 - m + 6. Let f be t(0). Suppose -j = -2*y - f, 3*j - 2*j - 10 = 3*y. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 9. Let p be c(14). Let l = -4 - p. Is (-41125)\/(-42) - l\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/56343987 and 15\/27398.\nAnswer: 112687974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -33, 0, 2\/3, -181, 9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 3*a**2\/2 + a + 1. Let t(u) = 31*u - 12. Let n(r) = 176*r - 68. Let m(o) = 6*n(o) - 34*t(o). Calculate 3*l(x) - 5*m(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -7.1.\nAnswer: -12.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 + 29*d - 60. Give m(14).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 7*w + 7*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614927?\nAnswer: 614927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 1819*i + 1820*i + 38.\nAnswer: i + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208403 and 2091.\nAnswer: 625209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1 + 3\/(-2) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89.24 + 86.24. Which is the closest to 0? (a) g (b) 1 (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3471 and 7921?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Suppose -34*d = -11*d + 92. Put u, d, -5 in descending order.\nAnswer: u, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -37. Which is bigger: r or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 760 and 51072.\nAnswer: 255360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c**3 + 109*c**2 - 8*c - 30. Let z(y) = -13*y**3 + 108*y**2 - 7*y - 26. What is 7*x(k) - 8*z(k)?\nAnswer: -k**3 - 101*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 16*p + 18. Let v be j(15). Suppose v*x - 1885 = -2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-6))\/((-2)\/3). Suppose 0 = -5*z - 2*q + 29, -g*q - 4 = -z - 3. Let l = -32 - -32.2. Which is the closest to -0.2? (a) z (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -31311*o - 31320. Determine u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6753.508 millilitres in litres?\nAnswer: 6.753508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.3, -5.\nAnswer: -5, -0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194.766 + 0.234. Let j = f + -199. What is the nearest to 2 in -2, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 - 2*w + 85. What is f(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 205*u**3\/3 + 117*u**2\/2 - 209. Find the second derivative of z(i) wrt i.\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 15*a**2 - 44*a + 58. Determine q(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(3 - (1 - 35\/2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 = -3*f, -t + 31 = 3*t + 5*f. Let m be 132\/(-21) + 2 + t. Let d = 0.41 - -4.59. What is the fourth biggest value in 0, 2\/3, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7017964, 7017963, 7017962, 7017961, 7017960?\n\"Answer: -u + 7017965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 2 (c) 2\/3 (d) 408\/329 (e) 1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*v + 40 = -48*v - 83. Let i(w) = w - 11. Let s be i(10). Let t be 2\/(-5) - s - -2. Sort 3, -3\/2, v, t in decreasing order.\nAnswer: 3, t, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11080343 not equal to -11080342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20384112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -299367 divided by 1073\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 100*j - 132 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*p + 253*p = 115*p - 5*l + 562, -2*p + 96 = 2*l for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:29 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 + -110. Which is bigger: w or -23\/6?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -569996*l - 1. Let g(p) = -p + 1. Let s(d) = -b(d) - 5*g(d). Let o be s(4). Suppose j + o = 3*j. Round j to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.129 (b) 1.9 (c) -4 (d) -3 (e) 2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 10*r**2 + 8 - r**2 - 3*r**2 - 7*r**2 + 7*r = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.0001 and 4.4?\nAnswer: 11.4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 14. Determine d(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39311.33907 + 39311. What is f rounded to 3 dps?\nAnswer: -0.339","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34354397\/8 or 4294299?\nAnswer: 4294299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + -10 + -65 + 69)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2057) + -1 + -2 - (sqrt(2057) - -5*(1 + sqrt(2057))) - (5 + sqrt(2057) + 0 - (sqrt(2057) - 4*sqrt(2057)*-1))) + 5)**2.\nAnswer: 9636*sqrt(17) + 79381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2664080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.65 and 0.08518.\nAnswer: -0.310907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + -10.01. Let a = m + 9.8. Sort a, -2, 4\/5 in decreasing order.\nAnswer: 4\/5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*i - 512, -5*w + i = -0*w - 504. Suppose -w = -4*a + 4*c, 4*a + 2*c - 5*c - 95 = 0. List the prime factors of 104\/10 + a\/(-50).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 20. What is the first derivative of 39*x + 5 + c*x**2 - 39*x wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 593738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10024 (base 6) in base 15?\nAnswer: 5c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:16 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2442\/(-26455)*(8 + -33)\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20527*f**3*k**3 - 204*f**3*k**2 + 1831*f**2*k**3 - 52*f**2 - 11*f*k**3 - 2*f wrt f.\nAnswer: -123162*k**3 - 1224*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/6 - 2\/(-3). Suppose -20 = -g + 3*h, 3*g - 3*h = -h + 32. What is the highest common divisor of m and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.111, -1\/12, -1.264, -0.1, -2, -1, 2\/19?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218699552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 560 = -0*h. Let s = h - 11758\/21. Which is the second smallest value? (a) 5 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.01 = -923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 83*r - 87. Let p(g) = -1. Let z(v) = -6*p(v) + t(v). Differentiate z(q) wrt q.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/89, 511, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(sqrt(450) + sqrt(450) + sqrt(450)*2) - sqrt(450))\/(sqrt(6) + -5*sqrt(24) + 2*sqrt(216) + sqrt(216)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 572898.\nAnswer: 572897.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from dccalccjcjcgcjddac?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1103*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -37. Suppose 3*w + 51 = 3*j, -5*j - 22 - 1 = w. Let c = -10 - w. What is the remainder when o is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 15 = -3*s + 4*r, 9 = -3*s - r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.7. Let v = r + -1.3. Let h = v + 2.08. Round h to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 54 = -74. Let d be ((-31)\/2)\/(f\/(-32)). Sort -4, d, 4.\nAnswer: d, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 20. Let s = -2 - b. Solve 4 = -4*r - s*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12189146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25 - -33)*-26*26\/(-4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 20. Let r(m) = -2*m + 6*m - m - b*m. Let w(d) = -17*d. What is r(w(n))?\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 - ((6 - 2) + -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 8 = m, -m - g - 3*g = 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 + 6*v. Let w(o) = 8*o**2 + 7*o. Suppose 2*q + 10 = -2. Calculate q*s(j) + 5*w(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3554.967 millilitres?\nAnswer: 3.554967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1856456029 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*w - 2. Let x(p) be the third derivative of p**6\/120 + p**5\/20 - p**4\/6 - p**3\/3 - 2*p**2. Determine x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -10.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1278652428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2902 + 3460. Calculate the highest common factor of 234 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104241829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -28*d - 93. Calculate j(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5153079 - -8?\nAnswer: -5153071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 6. Let u(b) = -1. Let d(v) = -6*u(v) - w(v). Let p(x) = 26*x**2 - 35*x**2 - 6*x**2 + 37*x**2. Give p(d(q)).\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2884926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 131\/2 in -3\/4, 1, -3, -0.2, 1\/119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 826666450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 847966 and 3108?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 1, 6184 in descending order.\nAnswer: 6184, 38, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80324515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -294*z**2 - 12*z - 2. Let u(q) = -6*q**2 - q. Give -l(c) + 12*u(c).\nAnswer: 222*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 33, 4.15, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1603571 + 24?\nAnswer: -1603545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*w + 4*w + 5, 0 = 4*x - 4*w + 4. Suppose 0 = 217*o - 225*o + 352. Suppose 0*f = x*f - o. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1739165 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b**3 - 9*b**3 + 286 - 2*b + 2*b as w + y*b**3 + l*b + z*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 445387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.47 + 1141.53. Let i = 1141.999171 - m. What is i rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/15*(-19)\/((-418)\/220).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001100 (base 2) in base 15?\nAnswer: 2d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9.9. Let f = 146 - 146.2. Let n = -14 - -10. Which is the closest to n? (a) -0.3 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -1, 27, 77, 155, 267?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egyeyye. What is prob of picking 1 y and 2 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.28 less than -86?\nAnswer: -67.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 39*c**2 - 15*c. Let w(n) = -2*n**2 - n. Determine 15*w(o) - y(o).\nAnswer: -69*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(384) - (sqrt(384)*-3 + sqrt(384)) - sqrt(384))\/sqrt(2) + -4)*-2)**2.\nAnswer: -512*sqrt(3) + 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229*f**2 - 92*f**2 - 25*f**2)*(0 + 1 + 0)*(2*f - 2*f - 2*f**2).\nAnswer: 692*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3060650 is divided by 4070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 13*m - 6. Let v(u) be the first derivative of 2*u**3\/3 + u + 1. Does 2 divide v(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, y: 2}. What is prob of picking 1 i and 3 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 13045*u\/3 - 26086\/3.\nAnswer: -(u - 13043)*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2160, -2152, -2140, -2124, -2104, -2080?\n\"Answer: 2*j**2 + 2*j - 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -4. Let w be h\/9 - 2\/(-3). Suppose 0 = -2*i + w*u + 2*u - 16, -9 = 3*i - 3*u. Solve j + 3 = -i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/2)\/d)\/(d*d**(-6))*(d**1)**44 assuming d is positive.\nAnswer: d**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 38325*g - 728209. Calculate o(19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*w + 3*t, -2*w + 8 + 12 = 2*t. Solve 4*b - b + 4*k + 15 = 0, -w = 3*b - 5*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j - j + 4244 + 228*j**3 - 4244 - 26*j**2 wrt j.\nAnswer: 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1221*a + 43960. Determine l(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16969.\nAnswer: 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 549597875?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t**2 + t - 13*t**2 + 3*t + t**4 + 1 + t in the form c*t**3 + u*t**2 + l*t + i + n*t**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13989.904795 + -13990. Let y = 0.0964 + t. What is y rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98558\/18675 - -1\/4150. Calculate the common denominator of k and ((-19)\/(-36) + -1)\/(-1*(-18)\/24).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97481711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 45. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 17*k**2 + 9*k - 39. Let w be i(-16). Let y(j) = -69*j**2 + 216*j**2 - w*j**2 - 76*j**2. Let q(v) = -3*v - 4*v - 6*v. Calculate y(q(u)).\nAnswer: -338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.820533 millennia to decades.\nAnswer: 482.0533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 9*g**2 - 2*g - 220. Let r be t(11). Let k(q) be the third derivative of -7\/6*q**3 + 20*q**2 + 0*q + r - 49\/24*q**4. Differentiate k(y) wrt y.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 25 - 17 = -56*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - 4*x**2 + 6*x**2 - 2*x**2 + x**2 + 2*x**2 + (0*x - x + 3*x)*(0*x + x - 3*x) + x**2 + x**2 + x**2 + 43 + 9*x**2 - 43.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -20. Let d + 2\/11*k**2 - 2\/11*k = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j)**(-1\/15)*j**2\/(j**(-5)*j*j) assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 3a8?\nAnswer: -3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 379395132 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/p**1)\/p))**(-6)*(p\/(p**(-6)*p))\/(p*p*p\/((p**(-6)*p*p)\/p)))**(-43) assuming p is positive.\nAnswer: p**602","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1567272 and -103\/1064.\nAnswer: 1567272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3021 or 1?\nAnswer: 1\/3021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -42, -114, -174, -198, -162?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -68.00064. Round z to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 2*z - 2. Suppose 3 = 4*a - 5. What is y(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 237. Let w be d(34). Let o = 274 + w. Put 4, o, -7 in ascending order.\nAnswer: -7, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + (-1 + 38 - (-177 - -206)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z = 2*x - 4, -z + 6 = 3*x. Let h = -0.015 + -22.985. Let p = h + 23.2. What is the second biggest value in p, 4, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 15. Suppose 48 = -21*w + 25*w. Let q be z(w). Let s(b) = 5*b**2 - 5*b - 1. Let h(u) = -4*u**2 + 4*u + 1. Give q*h(l) - 2*s(l).\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-1 - 2)\/3. Let r(j) = 2*j**2 - j - 1. Let p be r(i). Which is the nearest to 1? (a) p (b) -5\/2 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(76) + sqrt(76) + sqrt(76) + 4*sqrt(76)*1))\/(((sqrt(32)\/sqrt(2))\/sqrt(2))\/sqrt(2)).\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (55 - -1 - (-344 - -342))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 375960 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjr when three letters picked without replacement from {r: 1, j: 4, o: 4, c: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*c + 29 + 36 = 0, 7 = -3*g + 1641*c - 1639*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 5*t + 7, -4*m - 34 = 2*t. Let f be 33\/m + 2\/4. Let s be 1\/3 + (-42)\/(-9). Sort -2, f, s in descending order.\nAnswer: s, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 1 = 11. Let l be 6\/(i*(-15)\/(-20)). Which is the second smallest value? (a) l (b) 4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 9*q + 4. Which is the second smallest value? (a) -5 (b) 3\/4 (c) -1\/6 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l = 11*l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -853*a*i**2 - 187*i**2 - 2 wrt a?\nAnswer: -853*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/299539049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2 + 1 - 1 + 1 + (1 + 2 - 5)*(1 + 3 - 3) - 4 + 3 + 2 + 0 - 3 + 5 + 5 - 1 - 5)*(q + 9*q**2 - 5*q**2 - 2*q**2) to h*q**2 + l + x*q and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 90?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyyoloylylylyyy. Give prob of picking 2 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -12. Let x = n - -10. Which is the nearest to 0.1? (a) x (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) 5 (c) 1\/12 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.10431 + -0.26431. What is the nearest to 1 in -11, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*v, 13*p + 4*v = 11*p - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/6*(-6)\/3. Let u be (y - -5)*1\/4. Solve 0 = -2*n - g - 7, u = 5*n - 3*g + 4 - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 * -35.24\nAnswer: -1867.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.82 from 239.\nAnswer: 232.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45335, 45814, 46627, 47780, 49279, 51130, 53339, 55912?\n\"Answer: i**3 + 161*i**2 - 11*i + 45184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 1, -1, -151 in ascending order.\nAnswer: -151, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1435)\/1845*(4\/7)\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**2 + 844*i + 240.\nAnswer: 2*(i + 60)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -15.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000063112916 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 310 + -301. Calculate the highest common factor of k and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55081290 to the nearest 10000.\nAnswer: -55080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:00 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 457.7 to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -538*r**3 + 20*r**2 + 529*r**3 - 2*r - 4*r**2 + 1 to f + d*r**2 + s*r**3 + z*r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*b - 4005 = -5965 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.019 and 622.172.\nAnswer: 11.821268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 27*r**2 + 26*r - 322. List the prime factors of k(-22).\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69375 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l**2 + 1256*l + 7520. What is v(-6)?\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(-1 + sqrt(153) + -2 - (-2*sqrt(153) + 2))**2 + -4.\nAnswer: -7013 + 450*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053 times 4.3?\nAnswer: 0.2279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91982?\nAnswer: 2, 11, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 929*s**2. Let z(m) = -9*m. Determine h(z(u)).\nAnswer: 75249*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/2))**(-37)\/(c**(4\/3)\/(c\/((c\/(c\/(c\/c**(-2\/5))))\/c))) assuming c is positive.\nAnswer: c**(-577\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 10 = -2*x. Let q be ((-3)\/x)\/(12\/40). Solve -l - 3 = -6*l + 3*h, 2*l + 14 = q*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*a**3*k**4 - 2*a**3*k**3 + 11*a**3*k**2 - a**3 - 3*k**4 wrt k.\nAnswer: 504*a**3*k - 12*a**3 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/26 + -33*(-17)\/(-16575)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49724, -49724, -49730, -49748, -49784?\nAnswer: -49844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(2*l - 2*l - l) + 1 - 1 - 2*l - 32*l - 105*l + 82*l.\nAnswer: -58*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -131*t + 4. Let a(s) = -42840*s + 1309. What is 4*a(k) - 1309*w(k)?\nAnswer: 119*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 144\/20)\/((-2)\/(-2)) - 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21bf4d (base 16) to base 6\nAnswer: -115223101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*o - 323*o + 170*o + 16380 = 0 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c**3 - 3*c**2 + 2156*c. Let k(q) = -4*q**3 + q**2 + 4*q. What is 3*k(p) + t(p)?\nAnswer: -p**3 + 2168*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - -53. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offrmgfrrftomofmmo. What is prob of picking 1 m and 1 t?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1152) + (sqrt(1152)*-3 + 4 - sqrt(1152)) + 2).\nAnswer: -216*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -51*n + 25 + 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -78. Let h = -11.9 - l. What is h rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6*i = -2*i, v - 15 = -4*i. Sort 5, 2, -2, v.\nAnswer: v, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*s - 3083 = 0, 0 = -4*x - 2*s - 7735 + 1581. What is x rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/15414 and -59\/5979.\nAnswer: 30720102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*w = 2*w - 42, 0 = -3*o - 3*w + 24. Differentiate -5*p**2 - 8*p**2 + 0*p**2 + 5*p**2 + o wrt p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 d when three letters picked without replacement from biiduuydg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.9, 2978, -1, 0.5, -0.1 in ascending order.\nAnswer: -1, -0.9, -0.1, 0.1, 0.5, 2978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -4160?\nAnswer: 5\/832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**2. Let k(w) = -260487*w. Give k(o(s)).\nAnswer: -1823409*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let y(u) = -u**2 + 27*u. Let c be y(27). Let b(j) = -3*j + c + 2*j + 4 - 3*j - j**n. Give b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 158 (b) 1\/3 (c) -2\/3 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.196 + -0.804. Which is the nearest to -2? (a) 2\/7 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 117.9413 micrometers?\nAnswer: 0.01179413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -24981 and -28337 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9 = 3*h, c - 5*h + 8 = 5*c. Let j = -1 + c. Put -3, j, -2 in ascending order.\nAnswer: j, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**6\/15 + 61*v**5\/20 - 16*v**3\/3 + 3*v**2\/2 - 66*v + 2. What is the second derivative of z(c) wrt c?\nAnswer: 24*c**2 + 366*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*h - 130*h = 116*h + 69*h + 23718 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 5*a**2 - 2*a - 7. Let z be (0 - 1\/1)*5. Calculate b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1545 = 3*f - 2*k, 3*f = -2*k + 1536. What is f rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 l when three letters picked without replacement from {g: 4, l: 6, p: 3}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(-3)\/s)\/s)*s**(-1\/6))\/(s**(-3)\/(s*s**(-5)))*((s**(-1)\/s)\/(s\/(s*s\/s**1)))\/(s**(2\/5)*s**(-3)) assuming s is positive.\nAnswer: s**(133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87438*k + 4114 = 87317*k for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 25491*o + 87. Let c be b(7). Let n = -91924 + c. Round n to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 8*j + 4. Suppose -f - 14 = 4*y, -5*f - 1 = -4*y + y. Let o = y - -11. Let k be l(o). Solve k*v - 8 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 25*l + 72 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2222010220120 (base 3) to base 15\nAnswer: 212610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23405014 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 237, 234, 229, 222, 213, 202, 189?\n\"Answer: -f**2 + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 70*j**2 - 417*j - 13. Let p be w(6). Solve -p*i + 2*l = -12, i + l = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -6*q + q + 510, 3*c - 531 = 2*q. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -392.81, -22, -5\/3 in increasing order.\nAnswer: -392.81, -22, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 0.2, 242, 10\/9, -3\/11?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -6, 118, 5, -0.1, 2\/61?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-4)\/(7200\/(-360))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 4. Let x be a(-5). Let s be 1\/(x - (-8)\/(-10)). Suppose 3*j - s*w - 52 = j, 4*j - 52 = -3*w. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1069644, 4278531, 9626688, 17114127, 26740860, 38506899?\nAnswer: 52412256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -11) + 14 + 11 + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.086 * -14.\nAnswer: -1.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 667708 divided by -3.\nAnswer: -667708\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46621969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/((-6860)\/21))\/(240\/70)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-272)\/576)\/17)\/(1\/2)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 41 and 8355971598.\nAnswer: 8355971639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (4 + -1 - -14)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4 + f**3 + 0*f**3 + 6*f**2 + 2 + 6*f + 3. Let i be z(-5). Is (-1364)\/6*6\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.7, -2, 29, 2\/15 in descending order.\nAnswer: 29, 0.3, 2\/15, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2047268 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.514, 2\/7, 3, 2\/3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-6))\/(3\/6). Let s be (10\/(-6))\/(a\/(-45)). Calculate the greatest common divisor of 105 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 41039*i**2 + 4 + 41035*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + 9. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -11. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 11528 = -13*z. Let n = z - 782. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*j*n**2*w - 18*j*w**2 - 64*j*w + 3701*n**2*w**2 + n**2 - 32*n with respect to j.\nAnswer: 24*n**2*w - 18*w**2 - 64*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40651651 + 3?\nAnswer: 40651654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.23, 4, 0.2, -24, -12, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -6*u. Suppose -s = 3*x + 10, 2*x = u*s + 4 - 16. Let y(k) = -k**2 - k**2 - 3*k**s + 6*k**2. Let o(r) = -10*r**2. What is y(o(t))?\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1 + 5)**2 + -2)*-5 - (sqrt(70) + sqrt(70) + (sqrt(70) + 3*sqrt(70) - sqrt(70))*-3)\/(1*sqrt(80)\/sqrt(8)).\nAnswer: -1330 - 233*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-805)\/(-30))*(-1)\/2*-14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67760.18mm?\nAnswer: 6776.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**4\/5 + 6956*k**3\/5 - 41832*k**2\/5 + 83728*k\/5 - 11168 = 0. What is k?\nAnswer: -1745, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 6 + -2 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-4 + -2 + sqrt(700) - (sqrt(700) + 1 + sqrt(700) + -1 + sqrt(700))) + 5 + 2 + sqrt(700) + -5))**2.\nAnswer: 2880*sqrt(7) + 25776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 77*j = 29*j + 2475 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**2 + 1725714*s - 8628495 = 0.\nAnswer: 5, 575233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h + 36*h - 26 = 4*v + 5 - 6, 3*h + 7 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 1, k: 4, p: 3}. Give prob of sequence kcp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**2 - 64*q + 134. What is the remainder when 1373 is divided by n(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2. Let o be t(-4). Let h be 4*(-1)\/(-4)*2. Suppose 4*f + h*s = -8, -3*f = 2*s + 5 - 1. Sort f, o, -5 in increasing order.\nAnswer: -5, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 0 + 26\/7*d**2 + 30\/7*d - 2\/7*d**4 - 6\/7*d**3 = 0?\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dse when three letters picked without replacement from eededdsesssdsss.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159273 or -159274?\nAnswer: -159274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*q + 264*q - 2 - 1291*q + 525*q.\nAnswer: 54*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 563730615 to the power of 1\/2, to the nearest integer?\nAnswer: 23743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + p + 297 = 0, p = 2*k - 198. Let w(l) = -17*l**3 - 86*l**2 - 9*l + 7. Calculate the remainder when k is divided by w(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96255.\nAnswer: 3, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10001 - -11200203033?\nAnswer: 11200133032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/32*(-2 - 0). What is the highest common factor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + -32?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5757 - 5042. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208026 by -16002.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49391984 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1063\/4 + -266. Let t be (6 - 48)*((-10)\/3 - -4). What is the nearest to 0.1 in 5, i, t, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/102*(3 + -1). Suppose 2*y + 5*f + 13 = 0, 4*y + 5*f + 10 = -y. Which is bigger: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 275.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -5, -57 in ascending order.\nAnswer: -57, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 14*u + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 9 - 25) + (-5 + -5 - -15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6904 is divided by 97?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406 - 8 + 3*l - 1 - 37 + 452.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*p = -0*p + 4 - 31, -12*c - c - 33 = 2*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1) + ((-3)\/(-1))\/(-1). Suppose 4*a - 7*a + 279 = n. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8068924*x**2 - 20870114*x?\nAnswer: 16137848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -863\/8 + 108. Let l = -1 - -0.7. Let g = -214 + 210. Which is the biggest value? (a) g (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130561 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*t - 36 = 0, -6*c + 5*t - 12 = -4*c. Suppose -g + 223 = 4*k - 0*k, -3*k = c*g - 164. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, s: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + -0.55. Let l = 0.1 + x. Sort l, 0.2, 2\/11 in descending order.\nAnswer: 0.2, 2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -17\/4 (b) 5\/4 (c) 0.3 (d) 8 (e) 1 (f) -0.04 (g) -148\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*l + 38. Let d = l + 17. Let o be 6\/9 + (-2)\/d. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1197*w + 1345419. Determine a(1124).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, -3, 0.19, -5 in increasing order.\nAnswer: -5, -3, 0.19, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 305 + -181. Let m(h) = h**2 - 161*h + 6452. Calculate the remainder when p is divided by m(87).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Suppose 14 + 1 = x*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13231 (base 10) in base 11?\nAnswer: -9a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19962262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22779 and 138321.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-2\/97)*a))\/a*a*a*a\/(a\/(a*a**(-11)\/a))*a)\/((a\/((a*a*a*a\/(a**22\/a)*a)\/a))\/a)**(27\/5))**(-4\/11) assuming a is positive.\nAnswer: a**(195512\/5335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253092?\nAnswer: 2, 3, 7, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3. Give y(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) 1 (c) 12 (d) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1095*b - 42. Let q(n) = 2*n**2. Calculate p(q(s)).\nAnswer: 2190*s**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62580 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 + 0.19. Let j = -166 + 166.04. What is the second smallest value in -0.3, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6175413.\nAnswer: 3, 439, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.192 + -84127?\nAnswer: -84124.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.08 bigger than -1.379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 2 - 1 - 2 + 3*a. Let l be c(-7). Let w = 11 + l. Sort -4, -0.5, w.\nAnswer: -4, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 7\/10*v**5 - 7*v**2 - 26*v + 0*v**3 + 0 + 0*v**4. Differentiate a(h) wrt h.\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(2 + (sqrt(243)*-1 - sqrt(243))) + (-4*(-1 + (2*sqrt(243) - sqrt(243)) + sqrt(243)))**2.\nAnswer: -504*sqrt(3) + 15557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, f: 6, m: 3, d: 1}. Give prob of sequence ffd.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 410430.\nAnswer: 410430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(1088) + sqrt(1088)*4 + -2))**2*-6.\nAnswer: -2611584 + 15360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = 5*b. Let h = -3 + b. Suppose h = -3*g + 4*z + 15, 4*g + 4*z + 6 = -2. Solve 8 = -3*t - 5*y + 29, -t - g = -y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 5*y**2 + y - 4. Let x be m(-4). Let k = x + 2. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7 - 3333*j - 3347*j + 10005*j - 3332*j. Let s(y) = -44*y**2. What is w(s(t))?\nAnswer: 308*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(-32)\/144. Let t = 11 + -6. Put q, t, -0.3 in increasing order.\nAnswer: -0.3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuk when three letters picked without replacement from {o: 1, u: 6, z: 2, k: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unuu when four letters picked without replacement from uyyunugwgyggu?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15369 (base 13) in base 3?\nAnswer: -2001001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*z = 91*z - 4. Suppose -z*q + 4*j - j + 5182 = 0, 4*q = 5*j + 5178. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from ccep.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 4\/11 (c) -1\/7 (d) -0.37 (e) -1\/8 (f) 2 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*f**2 - 175*f**4 + 35 + 43*f - 571*f**2 - 9*f + 176*f**4 wrt f.\nAnswer: 12*f**2 - 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 2*z**2 + 9*z - 7. Let g be r(3). Let q = g + 13. Calculate the lowest common multiple of 3 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 31*y - 24 = 0, -3*a + 69 = -3*y. Calculate the remainder when 4262 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86884 + -42884. Suppose -z = -v - 3*v. What is v rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1267314, -10138156, -34216154, -81104886, -158407930, -273728864, -434671266?\n\"Answer: -1267263*t**3 - t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + 2*sqrt(171)*6 + sqrt(171))\/(sqrt(9) + 4*sqrt(18)\/sqrt(2)) + 3*(-4 + (sqrt(475))**2 + -3))*5.\nAnswer: 15*sqrt(19) + 7020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/((-4)\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 8. Calculate the smallest common multiple of 24 and p(-17).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 4*i**2 + 2*i + 3. Let j be g(-3). Suppose 0 = 7*f - j*f. Suppose 5*r - 7 - 253 = f. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.3. Let b = m - -0.1. Let a = -22014.9 + 22015. What is the second smallest value in 5, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 195434908.\nAnswer: 1\/97717454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 12 (c) 0.3 (d) 0.5 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1416\/(-18))\/59)\/((-4)\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*x - 135*x - x**3 - 132*x + 396*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2621.\nAnswer: -5\/2621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 55. Which is the second smallest value? (a) 3\/2 (b) 0.2 (c) y (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -45223?\nAnswer: -45223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4583*y + 6 = 4579*y, 9 = -j - 5*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 274*b + 2 + 207*b to the form r*b + v and give r.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21457\/1364 - 463\/31. Calculate the common denominator of -95\/46 and s.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22424319 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3690 and 24395.\nAnswer: 439110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.1, 761.11, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17548 and 2354?\nAnswer: 193028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/6 + 2)*(-57)\/38\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41592078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 87. Suppose 3*k + 2*k - 430 = 0. Let h = k + c. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11836738 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 20, 78, 190, 374, 648, 1030, 1538?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 264.810034662 - 264.81. What is y rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5705.565 milligrams?\nAnswer: 5705565000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (4 - (-174)\/6). Let t = q - -38. Suppose 0 = -t*f + 4*d + 2050, 3071 = -2*f + 5*f - 5*d. What is f rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 21. Let o be l(-15). Let b be 7\/(14\/o) + 0. Put b, -2, -4 in ascending order.\nAnswer: -4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let m(z) = 41. Let l(p) = -m(p) + 5*q(p). Let k be l(-8). Let -k*v**3 + 15*v**2 - 5*v**3 - 10*v + 16*v = 0. Calculate v.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a factor of 64991214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {t: 1, i: 4, w: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9801351mg?\nAnswer: 0.0000000009801351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/3 + 4*z**3\/3 + 6*z. Determine n so that k(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymn when three letters picked without replacement from fpmppyyfmnfp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*o - 4102 = 2766, 0 = -g - 4*o + 3424. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.2. Let a = -0.3172 + 0.3272. Let x = 0.2 - 1.2. What is the nearest to x in 1\/3, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98 * -0.1.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22528 or 22527?\nAnswer: 22528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*f + 5*z, -7*z + 8*z - 18 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -65. Let m(c) = c**3 + 11*c**2 + 6*c - 48. Let w be m(-8). Calculate the highest common factor of u and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-4)\/(-48)*-21 + 0?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 25*s = 12*s - 93 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1642 + -442344948.\nAnswer: -442346590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018210619 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*r + 2*r**2 + 304*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**7\/2520 + 7*n**6\/720 - n**5\/20 - n**4\/6 + n**2. Let l(t) be the second derivative of p(t). Does 24 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.917 + 0.517. What is the second smallest value in 7, x, 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0, 4 in ascending order.\nAnswer: -32, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttthssshsttstsst. Give prob of picking 1 s and 1 t.\nAnswer: 49\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.34 to zero dps.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 10 - (-2 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/16095 - 32156\/273615. Which is the nearest to 1\/9? (a) -0.2 (b) n (c) 2\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1411596 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60\/(-144))\/((-5)\/2)*6. Suppose 2*y - 3*o - 11 = 25, 0 = 4*y - 5*o - 70. Let r = -10 + y. What is the highest common factor of r and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 7*m**3\/2 + m**2 + 642*m. Let g(r) = -r**2. Calculate k(g(w)).\nAnswer: -21*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-43 - 16 - 6)*(-3*m + 0*m + 2*m)*(2 - 10 - 3).\nAnswer: -1430*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.404628 grams?\nAnswer: 404628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**3 + 5*t**2 - 3*t - 7. Let o(j) = -4*j**3 - 2*j**2 + 2*j + 3. Calculate -7*o(b) - 3*u(b).\nAnswer: b**3 - b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -114\/37, -9455, -5?\nAnswer: -9455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17243*y + 20 = -2*i + 17247*y, 3*i - 2*y = -22 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*13\/156*-15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 = -1. Let y be (-3)\/(p\/3) - 2. Let g be -2 - (-1 - (-1 - y)). Solve 4*r - 8 = -2*h, g*h = r + 4*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -305*j + 2992. Is v(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.830262 to two decimal places.\nAnswer: 15.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 272, 440, 680, 998, 1400?\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*b + m, m = -4*m + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66877987 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(sqrt(1900) + 0 + sqrt(1900))*3 - (sqrt(1900) + sqrt(1900) + (sqrt(1900) - (2*sqrt(1900) + 5 + sqrt(1900))) - (sqrt(1900) + 1 + -5)))**2)*-6.\nAnswer: -15606576 - 4440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/242465583 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a41a7527 - 5?\nAnswer: -a41a7530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/9*(-3)\/2. Suppose 0*q - 18 = 3*q - 3*u, 0 = 4*q + u + 19. Which is the nearest to 0? (a) v (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 44?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5.1, -229378, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = x - 28, 2*x - 3*j - 3 = 9. Let n be ((-4)\/(-6))\/((-6)\/(-27)). Suppose -n = -2*k + 11. Calculate the remainder when x is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 13*h + 36. What are the prime factors of z(12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1627*a*l**5 + 2*a*l**2*y - 46*a*l*y - 32*a*l - 9*a*y + 13*l**2*y wrt l?\nAnswer: 32540*a*l**3 + 4*a*y + 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/21)\/(180\/(-210)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 70\/9 of a day?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7267 (base 8) to base 4\nAnswer: -322313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463996255.\nAnswer: 5, 347, 267433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -309, -311, -315, -321, -329?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*n + 190, -4*n - n + 217 = 824*x - 833*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1645834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (70\/8 + -10)*(-490)\/(-25). Are -86 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.6093*49\nAnswer: -372.8557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*t - 1 = 0, p - 3 = -t - 0*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 8221\nAnswer: 15\/8221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -116*g**2. Let k(v) be the first derivative of -v**2 - 2*v + 335. Let a(j) = -j**2 + 5*j + 5. Let m(y) = 2*a(y) + 5*k(y). Determine m(r(u)).\nAnswer: -26912*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 292.88.\nAnswer: 585.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3441)\/(-93) - -55 - 16\/(-12)*(-18)\/2\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1907\/66 + -96\/11. Calculate the common denominator of -31\/27 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7255.061us to seconds.\nAnswer: 0.007255061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17.518 - -0.0617768\nAnswer: -17.4562232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 9*o**2 - 4*o + 8. What is z(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6212, 6211, 6210?\nAnswer: 6209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 - 10128. Let a(g) = 332*g - 8. What is a(j(h))?\nAnswer: -332*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 - 45*l**2 + 2*l - 18*l**2 - 43*l**2 to the form c*l + h + g*l**2 and give g.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p - 48*p = -18. Let x(g) = -16*g + p*g + 8*g. Let t(o) = -94*o + 1. Give x(t(m)).\nAnswer: 188*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -134? (a) 148 (b) -2\/3 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*g + 45*g = 41 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + 3*q - 5. Let f = 130 - 74. Let i = f - 37. Suppose 5*w - 6 - i = 0. Let n(o) = -4*o**3 + 5*o - 9. Give w*y(u) - 3*n(u).\nAnswer: 2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3662 - -3662.27. Which is smaller: l or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 126\/26 - 4\/(-26). Suppose 3*a - 2*q + 3*q - 101 = 0, b*a + 2*q - 167 = 0. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -0.385 (c) 9 (d) 0.3 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 + 1083*q - 1083*q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 762*h - 158485. Give p(208).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 1109*g**4\/4 + 233*g**3\/3 + g**2 - 203. Find the third derivative of n(r) wrt r.\nAnswer: 6654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -34, -1\/3, 78837?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14683 + 14738. Solve -6*r = -t + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28816, -57626, -86434, -115240, -144044, -172846, -201646?\nAnswer: -230444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 1303*f + 6578. Give m(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2*z + 18, -4*z - 4*y = 341 - 409 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zddz when four letters picked without replacement from ddddzdzddzzz.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 14941.11197 to the nearest 10.\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -1\/8, -108, 5, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 - 22*t + 7. Let s be c(7). Suppose -v - 5*h + 2 - 12 = s, 0 = -4*v + 5*h + 35. Solve -v*w = 17 - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -58*c + 65*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16d45 (base 15) in base 3?\nAnswer: -10202022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193459 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/12993 - -1104461\/363804. Let a = t + 3\/28. Let m(f) = f**2 - 3*f + 4. Let o be m(3). Is o at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27815539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 8:59 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a*a**1)**(2\/9) assuming a is positive.\nAnswer: a**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/sqrt(36)*-1.\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 86712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -13*o - 2328. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + 2*d**2 + 3*d**2 + 20*d**2 - 4*d**2 + 12*d**2 + 4*d**2 - 1 + 1 + (2 + 0 - 1)*(-4 - 2*d**2 + 4).\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/7)\/((-217)\/(-49) - 4). Suppose b = 5*n + 8042, 5*n - b = -c*b - 8048. What is n rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710433506 to the nearest integer?\nAnswer: 26654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - 2*d)*(-226*d + 226*d + 13*d**2).\nAnswer: -39*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qluu when four letters picked without replacement from ullllyllqqlu?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**2\/2 - 1. Let z be -8*7\/((-84)\/9). Let m(x) = 3*x. Let a(h) = h. Let s(p) = a(p) - 3*m(p). Calculate z*v(g) - s(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-45) - ((-126)\/(-45))\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 5*q + 41, -4*h = 530*q - 526*q - 36 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -1\/3 (c) 5\/424 (d) -234 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:03 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/70 + (-1296)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*d, 0*p - 2*p = -3*d + 5. Calculate the smallest common multiple of p and 20*-1*1\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**2 - 13*i + 48. Let f(w) = 11*w**2 - 12*w + 48. Let l(x) = 4*f(x) - 5*p(x). Let z be l(5). Solve -z = -88*o + 91*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-24))\/(9\/12))\/(3\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 28 + 53 - 1806*b - 2154*b.\nAnswer: -3960*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Let m be 1 - -3 - (b + 0). Determine x so that 5*x**4 - x - m*x**2 + x + 2*x - 2*x**3 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-7))\/((-1326)\/1768)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 84*s**3 - 6*s**2 + 86. Let z(v) = v**3 - v**2 + 2. Let b(h) = a(h) - 6*z(h). What is the derivative of b(q) wrt q?\nAnswer: 234*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5599*b**5 - 161*b**4 - 3*b**3 - 10703*b**2 - b + 19?\nAnswer: 335940*b**2 - 3864*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.578 + -0.078. Sort 3\/4, 9, -2\/7, d.\nAnswer: -2\/7, d, 3\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2269204 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 + 8) - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -775, -1743, -3099, -4843?\nAnswer: -6975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.66 (b) -1 (c) -2\/9 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + 1. What are the prime factors of 275\/7 - 6\/o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/42 + ((-16)\/14)\/4.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/2 + 4)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.3 (c) 4\/5 (d) 256\/575 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 2:52 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 813916590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17675252 is divided by 192122?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6238*x + 6238*x + 103*x**3 - 28*x**3.\nAnswer: 75*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + h + 3*h + 4 = 0, -3*c - 6 = 2*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -10. Let w = i - -44. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-213)\/(-710))\/(72\/(-20)*6\/(-45)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*273\/11232*16\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (363\/22)\/3 - 2\/16*-4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5263529 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a\/((a\/(a\/(a**1\/a)))\/a))))**(-45)*(a*a\/(a\/(a**0\/a)))**(12\/17) assuming a is positive.\nAnswer: a**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.03, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -8 + 4. Suppose 0 = z*g + 2*g - 606. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 301?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19ab (base 12) in base 9?\nAnswer: 4285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 33839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -630, -945, -1260, -1575, -1890?\nAnswer: -2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -195, 543, 1281, 2019, 2757?\n\"Answer: 738*t - 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i - 4. Let l be b(-4). Let d be 130\/l*(-36)\/(-27). Let x = -22 - d. Is x != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*(4 + (-18)\/4). Let c be (-6)\/f + (-51)\/(-2). What is the second derivative of -c*d + 94*d - 36*d - 29*d**3 wrt d?\nAnswer: -174*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 5*o - 15 + 3, 4*o + 6 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -7, -94, -273, -574, -1027, -1662?\nAnswer: -2509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1269 + 1272. Solve r - 1 = -4*j, -r = -d*r - j + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7427015 (base 9) in base 10?\nAnswer: -3974522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -129202?\nAnswer: 129203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 10*f + 11. Suppose s + 2*s = 3*n + 45, 0 = -5*s + 2*n + 66. Suppose s = x + 2. What are the prime factors of u(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751699393 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-20) - (-84)\/(-15). Let l(o) = -o**2 + 2*o + 3. Let g(d) = d**2 - 4*d - 5. Let a(n) = s*l(n) - 3*g(n). Calculate a(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 4*y + 6. Let w(o) = -5*o**2 - 9*o + 13. Determine 13*l(h) - 6*w(h).\nAnswer: 4*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbib when four letters picked without replacement from bibbbbib.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 49 - (-4 - 3 - -11 - 45).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*q - 37*q - 31*q - 35*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 2:33 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2506 + 4657. Let v be (-1)\/(1001\/r) + 2. Let u = -3\/91 + v. Sort -0.2, -0.5, u in descending order.\nAnswer: u, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-76804\nAnswer: -76804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273525564 and 58916.\nAnswer: 5356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2 + 6*n + 7. Let a(r) = -3*r**2 + 4*r + 5. Let f = 48 - 43. Give f*j(k) - 7*a(k).\nAnswer: -4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1170, -9871 in descending order.\nAnswer: 2, -1170, -9871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87402667*y**4 + 130*y**2 + 1856*y - 11.\nAnswer: 2097664008*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6071033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9)*1 + (-15)\/(-1260)*119. Factor z*s**3 + 7\/2*s**2 + 0 + 2*s.\nAnswer: s*(s + 4)*(3*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/13 - -31\/78. What is the nearest to 0.1 in 0, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z + 21*z + 17*z + 25*z - 2*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.700694 rounded to two decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/10)\/(279\/2480) - (-1)\/(-3). Solve z + k + 7 = 0, -5*z + t*k + 40 = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*(-1 + -1)*97. Let w = o - -293. Is w at most 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llag when four letters picked without replacement from {g: 1, l: 2, v: 1, y: 1, j: 8, a: 1}.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:54 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 + 0.16. What is the second biggest value in -0.3, y, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37412 - -37419. Solve -10 = -g - 12*d + y*d, g - 5*d = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - r**2 + r + 25. Let v be n(0). Suppose 260*l + 125 = 265*l. What is the highest common factor of l and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 908.54 + -920.54. Suppose -5 = -t + 6*t. Let q be 2 + (-21)\/(-9)*t. Which is the nearest to h? (a) -2\/3 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-18))\/((-7)\/14). What is the second biggest value in 2, g, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 977335000 to the nearest one hundred thousand.\nAnswer: 977300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6232\/(-57))\/(1832\/687)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 106?\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 66, -3, -3\/8, -2\/15, -1 in descending order.\nAnswer: 66, 0, -2\/15, -3\/8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 4. Suppose -j = -4*j + 3. Suppose -4*y + u + 95 = 0, -2*y + u + 46 = -j. Calculate the remainder when y is divided by v(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 + v. Let m(k) = 0*k - 3*k + k + 3*k + k**3 - k**2. Calculate -m(s) + q(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:07 AM?\nAnswer: 43","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 63529 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 4*u, 3*u - 5 = -15*l + 11*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 92 - 7 = 0. Calculate the least common multiple of (-382 + 361)*18\/(-7) and d.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsl when three letters picked without replacement from {l: 2, s: 2, f: 6, q: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44, -182, -420, -764, -1220, -1794, -2492, -3320?\n\"Answer: -f**3 - 44*f**2 + f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 2*o - 23 = 10*a + 7, 0 = 2*a - 2*o + 30 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-260)\/((-137280)\/176))\/(41\/6)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1183, 1757, -5, 4 in decreasing order.\nAnswer: 1757, 4, -5, -1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 9 = -9*y. Let p(a) = -7*a. Let t(l) = 7*l. Calculate y*t(m) + 7*p(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + 444\/(-54) - (-6)\/27. Suppose -71*h + 76*h - 25 = x. Solve 32 = -5*r - 4*a, h*r + 5*a - 2*a + 29 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 25*s**2 + 55*s - 27. Let v be q(27). Let h(k) = -21*k + 16. Let w be h(v). What is the greatest common divisor of w and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Suppose -4*z + 0*z = -12. What is the smallest common multiple of z and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4081459?\nAnswer: 4081459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = 16. Suppose 0*z - j*z = -16. Which is bigger: 5 or z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*l - 41*l - 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 2. Let o be b(6). Let h = o + 4. What are the prime factors of -1 + 5 - (1 + h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/25)\/(2\/(-10))*1. Let m(l) = 20*l**3 - 3*l**2 - 3*l - 1. Determine m(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 7*c**5 - 143*c**4 + 343*c**3 + 1147*c**2 - 674*c - 680 = 0?\nAnswer: -2, -4\/7, 1, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -533 + -6032. Let y = j + 144459\/22. Let u = -6053 - -133085\/22. Calculate the common denominator of u and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1193235 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120.752 + 0.248. Let q = g - 120.983. What is q rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74088 is divided by 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -249 - -149. Let f = 10575 - 10475.49. Let y = k + f. Round y to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 93389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472.2827 nanograms to tonnes.\nAnswer: 0.0000000000004722827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**3\/5 + 3*r**2\/10 + 189. Solve d(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 805234.58 to the nearest one hundred.\nAnswer: 805200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 344002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1421, 2840, 4259, 5678, 7097, 8516?\nAnswer: 9935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3471 or -155328?\nAnswer: -155328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*v + 0*v - 3 - 9*v to b*v + o and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.855, -1.4, -0.3, -14\/11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 11401110?\nAnswer: -11401100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106680304*b**4 - 2*b**2 + 1026751*b + 1 wrt b?\nAnswer: -2560327296*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37710053 is divided by 207.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-2)\/s*s*s)*s*s**(1\/10)*(s**(-2))**(-1\/41)*(s**(2\/5)*s)**(5\/3)\/(((s**4\/s*s)\/s)\/s*(s\/(s**(-2\/3)\/s))\/s) assuming s is positive.\nAnswer: s**(2233\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -25.0207 and 2806855.\nAnswer: 2806829.9793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -253 + 464. Let q = d - 211. What is the third smallest value in q, -1\/4, -12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81509149*d*n - 3*d - 7923*n + 1729 wrt d.\nAnswer: 81509149*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*t - 3*t - 6, 0 = -4*t - 3*s + 29. Let j = 4 + t. Let o(f) = f**3 + f + 2. Calculate the smallest common multiple of o(0) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4 - 2*h**3*s - 129*h*s - 85*s - 1 wrt h.\nAnswer: 8*h**3 - 6*h**2*s - 129*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 894 by 4.\nAnswer: 447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50433 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 36 = -5. Let f = t + 45. Suppose -2*u + 0*u + 12 = 2*l, -3*u - 4*l = -f. What is the lowest common multiple of u and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -482 divided by -38?\nAnswer: 241\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -16, -47, -2\/7, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + u**3 + 0*u**3 + (7 - 2 - 2)*(1 - 1 + u**3) + 3*u - 3*u + 3*u**3 + 60*u**3 + 79 - 79.\nAnswer: 63*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(130) + sqrt(130) + sqrt(130))*5 + 6*(sqrt(130) + sqrt(130)*2 + sqrt(130) + sqrt(130)))\/(sqrt(120)\/sqrt(108) + sqrt(70)\/(2*sqrt(7)))*-6.\nAnswer: -360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1971.1 - -1982.1. Sort -0.5, l, -5, 0.3, 2.8 in decreasing order.\nAnswer: l, 2.8, 0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1.1193312\nAnswer: -5.596656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592841419.\nAnswer: 21493, 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 417513, 1670122, 3757803, 6680556, 10438381, 15031278, 20459247?\n\"Answer: 417536*p**2 + p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3)*z**7)\/(z\/z**(-1\/4))**(-2\/15))**(-2\/19) assuming z is positive.\nAnswer: z**(-15\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 + (-17 - -22) + -16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*r - 38678 - 203848 = 2692*r + 663*r for r.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 506681 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: Suppose -11 - 65 = -4*p. Let f = 274 - 158. Let o = f - 81. Calculate the remainder when o is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 882 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 0*r + r + (1 - 5 + 3)*(2*r - 2*r - r) to the form l*r + h and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -9313220\nAnswer: -1\/2328305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -2*s**2 - 2*s - 24. What is n(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**3 - 2*s**3 + 3*s**3)*(-2 - 195*s + 196*s + 4) in the form b*s + v*s**3 + h*s**2 + t*s**4 + j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13*j + 510. Let d be m(39). Solve 4*h - 14 = 3*c, -5*c + 2 = d*h - 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 3, c: 3, s: 1, d: 1, f: 1}. Give prob of sequence fj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f - 30. Let m be r(-4). Suppose 3*j + m*v - 334 = 173, 4*j = -5*v + 676. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72\/19 + 944\/209. Let q be -6 - (-1 - -3)\/((-77)\/266). Factor 2\/11*a**2 - q*a + x.\nAnswer: 2*(a - 4)*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -2*a**6\/15 - 23*a**5\/5 - 40*a**4 + 96*a**3 - 63*a - 4. Factor n(m).\nAnswer: -4*m*(m - 1)*(m + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 169 = -2*i, -k - k - 2*i = -116. Suppose -4*f + 5*z + 99 = 0, -6*f + k = -3*f + 2*z. What is the remainder when 62 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10583 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (182\/(-364))\/(28\/63)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2 - q**3 + 4 + 9*q**2 - 10*q**2. Calculate k(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 30 + 2*c**4 - 30 + 34*c**2 + 4*c as i*c + s*c**3 + h*c**2 + u + f*c**4 and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(-11*36\/(-5346))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + (-2 - (-12)\/(-8)). Let p(t) = -t**3 - 3*t**2 - 3*t - 2. Let n be p(b). Solve 3*w = n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -16. Suppose 2*c - 7*c + 30 = r. Calculate the lowest common multiple of c and 118.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-1))\/(3 - 2). Let z(w) = 3*w + 5. Let m(n) = -n - 1. Let u(c) = 15*m(c) + 3*z(c). Determine u(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4*u = -34, -5*p + 65 = 9*u + 6 - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 + 11*r**4\/24 + 11*r**3\/2 - 87*r**2 + 2. Determine c(15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 259*b + 8. Let r(u) = -261*u - 7. Calculate 4*h(f) + 5*r(f).\nAnswer: -269*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88446 is divided by 8834?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -374, -914, -1636, -2540, -3626, -4894?\n\"Answer: -91*m**2 - 267*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*m - c = -1, -3*m + 2*c - 6 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*g**5 + 3*g**2 - g**2 - 4 + 31*g + 0*g**2 + 2 + 64*g wrt g.\nAnswer: 1280*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*g = -44*g + 1053 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/9*(63\/175)\/((-48)\/160)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 87.3.\nAnswer: -87.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15082, -30004, -44754, -59326, -73714, -87912?\nAnswer: -101914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t - 4. Let l be y(3). Suppose 2*n - 5*w = -23, 0*n + 2*w = 2*n + l. Let j be (4\/12)\/((-1)\/n). Solve -j*r - 5 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 8, c: 8, o: 4}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4381153 - -25?\nAnswer: -4381128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1099*v + 3912*v + 47*v - 58039 = -407041 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 459*p - 14996. Give c(31).\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2900 = -d, d - 60 = w + 2843. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 21. Let t(s) be the first derivative of 4*s - d - 2\/3*s**3 + s**2. Determine k, given that t(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 24*a = 22648. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*t + 11, 0*j + 4*j = -5*t - 10. Let l(p) = -p**2 + 6*p. Let r be l(5). Sort r, -4, j in decreasing order.\nAnswer: r, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -155*c + 5876. Calculate q(38).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 9*a**2 + 38*a + 176. What is j(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 2, a: 2, g: 1}. What is prob of sequence na?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 138*g**2 + 121*g**2 + 135*g**2 - 528*g**2 + 135*g**2. Let k(c) = -4*c**2 - 1881. Determine k(p(s)).\nAnswer: -4*s**4 - 1881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/5 + 11452*c**2\/5 + 2435950*c + 2433660 = 0. Calculate c.\nAnswer: -4315, -1410, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 4*b**2 - 215 - 981*b + 7*b**2 - 216 + 682.\nAnswer: 3*b**2 - 981*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -32, -108, -258, -506?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-31)\/(-2) + 14\/4. Sort -8, -2, o in descending order.\nAnswer: o, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 20. Calculate z(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 50*g + 155. Let u be q(-3). Solve -2*j - 10*b = -8*b - 10, j = u*b - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -34. Let j(o) = -o**3 - 5*o**2 - o - 2. Calculate the remainder when j(-6) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*m - 20 = 5*l - 263*m, 0 = -l - 3*m - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 616*a**3 + 216*a**3 - 178*a**3 + 0*a**3 - a**3 + 3*a**3 + (-3 + 5 - 4)*(2*a**2 - 2*a**2 + 2*a**3).\nAnswer: 652*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -102*d**3 - 1413. Let b(a) = -8*a. Determine r(b(w)).\nAnswer: -19584*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 5*b - 1. Let t be h(-4). Let v = t + -5. Let z = v - -5. Calculate the remainder when 9 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, v: 1, r: 2, t: 3, g: 2}. What is prob of picking 1 q, 1 v, 1 g, and 1 r?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 10 = 14*y. Is (y + 0)\/((-1)\/3453) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Suppose 0 = f*d + 2*d - 4. Let u(b) = -b**3 + b**2 + b + 1. Let q(w) = -2*w**3 + 3*w**2 + w + 3. Calculate d*q(s) - 3*u(s).\nAnswer: s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 15450 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4660954039 to the nearest integer?\nAnswer: 68271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2563\nAnswer: -2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 3 = -q - 7*p, -4*p + 41 = 5*q. What is the second derivative of -3*f**5 - f + 87*f**5 + q*f - 5*f wrt f?\nAnswer: 1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.1, 4, -34, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 26 - 69 = 0. Is (m + -3 - -4)\/((-2)\/(-110)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -144 + 144 + 67*y**4 + (2*y**3 - y + y)*(5*y - 3*y + y).\nAnswer: 73*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 161810 - p + 2*p**3 + p - 3*p**2.\nAnswer: 2*p**3 - 9*p**2 + 161810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - sqrt(196)\/sqrt(7))*4)\/(-4*sqrt(144)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23660)\/4056*6\/8.\nAnswer: -35\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by 29\nAnswer: 81\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {p: 1, k: 1, b: 1, n: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17188449 or 17188450?\nAnswer: 17188450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -85674*y**2 - 655. Let g(q) = 262*q**2 + 2. Give 655*g(d) + 2*s(d).\nAnswer: 262*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**3 - 1449*i**2 - 2*i - 4200 wrt i?\nAnswer: 6*i**2 - 2898*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -961527 divided by 211\nAnswer: -4557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spfpfgf. Give prob of sequence pp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*a**2 - 84*a**2 + 43*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -317*p - 53 + 106*p + 8 + 108*p + 104*p. Let z(k) = -k. Calculate d(z(o)).\nAnswer: -o - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 5\/6*l**2 + 0 = 0 for l.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*c - 204 - 160, 2*a = -4*c + 280. Suppose c = 19*x - 156. What is the highest common factor of 108 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 27, -4 in decreasing order.\nAnswer: 27, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -9. Let w = 3 + 32. What is the highest common divisor of w and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649 = 4*q - o, 3*q - 33*o + 29*o - 503 = 0. Calculate the remainder when q is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*y - 4 = 0, 3*y = 3*w - 2*w - 4. Suppose t + 2 = w. Solve 0 = t*d - 6*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285 by 12.\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*v = 3. Let q(k) = 8*k**3 - k**2 + 4*k - 2. Suppose 3*u + 0*u - 78 = 0. What is the remainder when u is divided by q(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56203*v + 56197*v - 168590*v + 56189*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 + -110. What is the least common multiple of 16 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/7))**(-5\/6))**(-43) assuming u is positive.\nAnswer: u**(645\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -22. Differentiate 2 - r*w + 3*w + 3*w with respect to w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747871713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1568 - -2.1568. Which is smaller: -43\/15 or c?\nAnswer: -43\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*w = 4, 33*y - 5*w - 8 = 32*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((sqrt(175) - -1*sqrt(175) - sqrt(175)) + 3 + sqrt(175) - (sqrt(35)\/(2*sqrt(5)) + 1*sqrt(175))))**2.\nAnswer: 54*sqrt(7) + 603\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 0.40357921.\nAnswer: 8.47516341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 + 6*t - 11. Calculate c(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 12*w + 16. Let p be 2\/w + (-18)\/(-8). Solve 4*y + 3*x - 3 = -8, -p*y - 5 = x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 115 - 85*h**2 - 115 in the form a + q*h**2 + r*h and give q.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 3 + 0 + 9*x + 1. Let r be s(9). Suppose r*d - 34 = 14. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 831516110 to the nearest one hundred thousand.\nAnswer: 831500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4598 + -26.01?\nAnswer: -4624.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 4*o - 14. Let q(w) = 2778 - 5584 + 3*w + 2792 + w**3. What is 4*q(b) - 3*x(b)?\nAnswer: -2*b**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*d**3 + 10*d**3 - 31*d**3 + 24*d**3.\nAnswer: -131*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*17666.672\nAnswer: 70666.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, v: 8, l: 1}. Give prob of picking 1 v and 1 l.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-4 - -5))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/5)\/t)\/(t*t\/(((t*t**6)\/t)\/t*t))*(t\/((t*t**(-1))\/t))**(-34)*(((t\/(t*t**(-3)))\/t)**(-16))**33 assuming t is positive.\nAnswer: t**(-5601\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w - w + 1 - 6 + 4*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047031903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 6, -0.1, 0.04 in decreasing order.\nAnswer: 6, 0.04, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 - o - 1. Let c(b) = -4*b**3 + b**2. Let k be 4\/(-4) + 2\/(-1). Let s(x) = k*c(x) - 2*r(x). Suppose -6*m - 1 = -13. What is s(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/10 - 3*m**4\/8 - 7*m**3\/6 - 13*m**2. Let j = -14 + 8. Is r(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 2*q**2 - 2*q - 1. Let x(t) = 724*t**3 + 2205*t**2 + 6*t + 3. Let h(f) = 3*s(f) + x(f). Find the third derivative of h(d) wrt d.\nAnswer: 4380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*v + 1 - 3, 3*m + 4*v - 17 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 0*w**6 + 0*w**3 + 1\/20*w**5 + 0*w**4 + 8*w**2 + 0 + 0*w + 4\/105*w**7. What is the third derivative of l(i) wrt i?\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/30)\/((-16)\/((-704)\/(-1947)))?\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*h = 179, 5*n - 8*n + 2*h = -0*n - 3*h - 164 for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(330\/(-50))\/33?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3838983025855 - -0.06.\nAnswer: 3838983025855.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/341 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfyrvvrr. What is prob of picking 2 r, 1 v, and 1 f?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4700, -7192, -9684, -12176, -14668?\nAnswer: -17160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 9 - 6)*(-21*p**2 + 7*p**2 + 37*p**2) - 3*p**2 + 3*p**2 + p**2)*(p - p - 2*p).\nAnswer: -370*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 119*x**2. Let k(n) = 19*n + 232. What is k(a(f))?\nAnswer: 2261*f**2 + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4*w + 5. Let t be (1 - 2) + -1 + 7. Let b be l(t). Solve 0*d + 2 = -3*r - d, b = -5*r - 2*d - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*f - 4, -8 + 24 = 2*f - 3*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, g: 9}. What is prob of picking 1 p and 2 g?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 4. Let w(n) = -n**3 - 9*n**2 - 8*n. Let c be w(-8). Let q be (-9)\/(c + 3) - 1. Let v(s) = s - 5. What is q*v(d) + 5*b(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1581250*n**2 - n + 4. Let v be c(4). Round v to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5024434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -52) + -732 + 348 + 430.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31804460?\nAnswer: 2, 5, 37, 42979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687221.\nAnswer: 79, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2394)\/(-1064))\/(63\/12).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - y - 3*y - 20, 4*g + 4*y = -20. Which is smaller: g or 14\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1246112, 1246114, 1246116, 1246118, 1246120?\n\"Answer: 2*v + 1246110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4040*l + 12163. Give m(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)*f)**(-14\/9)\/(f**(-1\/4)*f\/(f**6\/f)) assuming f is positive.\nAnswer: f**(347\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = 2*m + 5*n, -n - 928851 + 928879 = 8*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 5*v**2 + 1 - 3*v**2 - 4*v**3 - 2*v**3 to u*v**2 + z + p*v**3 + i*v and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -15. Let g be 57\/m + -3 - 3. What is the second smallest value in g, 0.5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*q + 1310, 12*v - 274 = -q + 15*v. Let x be ((-33)\/3 + 48)\/(1\/2). Calculate the highest common divisor of q and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 6 - x**2 + 3*x**2 as r*x + l + g*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1320124 (base 6) to base 12.\nAnswer: -36044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -346 - -342. Let j = 5 + -6. Sort 21, j, 0, r in decreasing order.\nAnswer: 21, 0, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 + 2 = 0. Let z be n\/(-4) + 27\/(-2). Let s = z - -30. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 15 = 3*w, 7*w - 12*w + 23 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2819*s + 1388*s - 2741*s + 1245*s)*(20 + 11*s - 20) in the form u*s + g + v*s**2 and give v.\nAnswer: 29821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 - 7*j - 12. Let d be i(6). Let c = d + 55. Is 8 a factor of (1 + -2)*(-28 - c) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3 - 105*t**2 - 230*t = 0.\nAnswer: -2, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -755413 divided by 22.\nAnswer: -755413\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 27, -34, -0.44, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505231019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 8*l**2 + 11*l - 70. Let w be z(8). Let n be ((-3)\/2)\/((-1)\/2). Find the third derivative of 18*r + 4*r**3 + 22*r**2 - 5*r**n - w*r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254.69 - -207.6. Let z = 47 + v. What is z rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -720.978 rounded to the nearest integer?\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57877535, -57877534, -57877533, -57877532?\nAnswer: -57877531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 214, 601, 1156, 1873, 2746, 3769, 4936?\n\"Answer: -l**3 + 93*l**2 - 59*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -2.8 (c) -2 (d) -4 (e) 87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74498 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 0*r - r - 3*r. Give u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2)\/(4\/(-12)). Let g be 0\/((-3)\/k*2). Suppose 2*t - 70 + 24 = g. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -2. Let d(x) = x**2 - 1. Let l be d(f). Suppose u + l = 6. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1779, 3568, 5371, 7188, 9019, 10864?\nAnswer: 12723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2564 - (-6 - 7) - 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285520 + 84.984?\nAnswer: 285604.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301ac (base 15) to base 11.\nAnswer: -a4440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -15*s**2 - 842*s + 7483. Calculate p(9).\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(10 - 4) + 178. Suppose -8*k + h = -7*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -215 - 171 + 56*m - 246*m - 100*m wrt m?\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 2\/17, 1.9.\nAnswer: -25, 2\/17, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**6\/12 + 6*o**5\/5 - 2*o**4 - 7*o**3 + 17*o**2\/4 + 15*o - 1544. Find t, given that a(t) = 0.\nAnswer: -1, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56680, -5, 1\/3, -3\/4, 3\/8 in descending order.\nAnswer: 3\/8, 1\/3, -3\/4, -5, -56680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 8*j**2 + 2*j - 3. What is y(-7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 3. Let t(r) = -r**3 + 6*r**2 - 3*r - 15. Let j be t(4). Calculate o(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 19 - 2 + 6*n + 4.\nAnswer: 6*n - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*g - 368 = 80*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g - 9*g**2 - 1\/20*g**5 + 0 + 0*g**3 - 1\/8*g**4. Solve d(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6621430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**5 - 44*x**4 - 92*x**3 + 36*x**2 - 2. Let b(t) = -t**5 + t**3 - 1. Let d(p) = 2*b(p) - i(p). Solve d(r) = 0 for r.\nAnswer: -2, 0, 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722873126 a multiple of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24b4 (base 16) in base 10?\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77526 is divided by 340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(((-4)\/6)\/(-2)). Let h(l) = -l**2 + 89*l - 570. Let s be h(82). Solve 0 = -s*g - z + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 9 = 4*a, a - t = -4*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -117815 + 1?\nAnswer: -117814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-5)\/15))\/(87\/(-29))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26568?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219364.\nAnswer: 2, 173, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/2370 and -91\/1185?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124031 or -124023?\nAnswer: -124023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*u + 40 - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*-6*6\/(-5). Suppose -2*v - 5*q + 39 = 0, -3*q = 10*v - 6*v - 113. Suppose 0 = a + v - 36. What is the highest common divisor of z and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -14*z**3 - 11*z**2 + 12*z. Let h(r) = 5*r**3 + 4*r**2 - 4*r. What is 4*f(a) + 11*h(a)?\nAnswer: -a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 29, 69, 123, 191, 273, 369?\n\"Answer: 7*w**2 + 5*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(4)*3)\/(-6*sqrt(60)\/sqrt(5)) + (-2 + 1 + sqrt(180) + sqrt(180))*-6*-6.\nAnswer: -36 + 863*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -1, -0.5, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2795, -11, -0.2 in increasing order.\nAnswer: -11, -0.2795, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/27*6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -26, -21, -14, -5, 6?\n\"Answer: x**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - (0 + 6)) + (63 - 38) + -22?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkk. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + ((sqrt(147) + (sqrt(147) - 5*(sqrt(147) - (1*sqrt(147) - sqrt(147)))))*2 - (0 + 0 + sqrt(147) + 0)).\nAnswer: -49*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**3 - 13*m**3 + 38*m**3 + (2*m - 4 + 4)*(7*m**2 - m**2 - 2*m**2).\nAnswer: 38*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + g**5 + 4*g + 0 - 3*g**3 - 2*g - g**4 + g**2.\nAnswer: g*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277939, 555862, 833763, 1111630, 1389451?\nAnswer: 1667214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.4 and 93104.\nAnswer: -1713113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**2)**18)**(-5\/14) assuming p is positive.\nAnswer: p**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*((-36)\/(-3))\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10641)\/15*-5*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 86*f - 78. Give r(44).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 37*a**2 - 22*a + 39. Calculate p(4).\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 511 (b) 98 (c) -1 (d) -5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/80*(-45820)\/(-3). Let b = 1920 - j. Calculate the common denominator of (31\/6)\/((-33)\/9) and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115245 and 6593787.\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/5 - 1143*w**3\/5 + 85752*w**2\/5 - 2085696*w\/5 + 3359232 = 0. What is w?\nAnswer: -1215, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -76.9981. Round i to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791*b - n + 4758696 = 795*b, 4*n = 5*b - 5948349. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.89 + 0.89. Let p = -5.6 - -6. Which is the second smallest value? (a) d (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5505870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8216640901 and -36.\nAnswer: -8216640937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 558876874 a multiple of 1274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(112))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, c: 1, z: 6, t: 1, d: 1, o: 4}. What is prob of sequence zdct?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edd when three letters picked without replacement from kdbebkklbggbbgd.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4 (c) -4 (d) -20 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 4732524*w.\nAnswer: -4*w*(w + 1183131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 2*o**3\/57 - 20*o**2\/19 + 2*o + 142. Let v(u) = 0. Calculate u.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 245*v - 6. Let g(r) = 2*r**2 - 228*r - 8. Let n(d) = 3*g(d) - 4*s(d). Let z(p) = p**2. Determine n(z(l)).\nAnswer: 2*l**4 + 296*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 6640*q.\nAnswer: 4*q*(q + 1660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, q: 2, t: 1, y: 2}. Give prob of sequence qtq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {k: 3, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 4, -1\/6, -1\/4, 0.5, -13 in decreasing order.\nAnswer: 4, 0.5, -1\/6, -1\/4, -1.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8226849 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = i. Suppose o - 13 = 3*p - i, 4*o = 4*p + 28. Let t be 1\/((78\/(-4))\/3). Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1014 - 7?\nAnswer: 100b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 15, -1\/4, -5, -3, 1, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -53. Let b be s*(0 + -4)\/12. Solve 15 = -4*z - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 - -2122. Does 50 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9835756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28480 is divided by 237.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -8)*(-12)\/(-32)*4. Suppose -u*n = 5*n - 2282. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63918 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 10. Does 10 divide (-2)\/k + 556\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = 0, 5*f + d + 26 - 38 = 0. Suppose 0 = -2*z + 5*o - 5, 4*z + 2 = -f*o + 5*o. Let a(j) = -6*j + j - 2 + j**2 + 4*j. Determine a(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 64*u - 1558. Calculate y(24).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1233357 by 411119.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134496 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 5*f = -3809. Suppose u + 2*u + 2*r = -f, u + 91 = -4*r. Let w = 113 + u. What is the highest common divisor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2*(55\/44 + (-19)\/(-4)). Solve -41 = -c*p - 11*h + 15*h, -25 = -5*p - 2*h for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56810786 is divided by 611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1506?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1886 and 52\/11.\nAnswer: 20746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-16)*a**(-1\/11))\/((a**(12\/7)\/a*a)\/a)**(-47) assuming a is positive.\nAnswer: a**(1346\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b**(1\/5))\/b*b)\/b*b)\/b)\/b**(-4))\/((b*b*b**(-1))\/(((b*b\/(b\/(b**5\/b)*b)*b*b)\/b)\/b))*(b**1*(b*b\/(b*b**(-6)))\/b)**(-5) assuming b is positive.\nAnswer: b**(-139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87469493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142.785 + 0.215. Let p = -135 + d. Which is the closest to -1? (a) -5 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 61*z**2 - 189*z - 189. Let m be o(64). Solve 2*j - 4 = 2*q + 4*j, -m*j - 13 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 24 = 4*i. Suppose 0 = 2*v - 3*v + 2*o + 70, -5*v + i*o = -335. Let t be (-314)\/(-2) - (-24)\/8. Calculate the highest common divisor of t and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1622*q + 3203. Give k(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 6 = -5*u. Suppose 0 = s + g - 13 - 15, -5*g = s - 16. Let p = s - u. Calculate the least common multiple of 3 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -23, -87, 29 in decreasing order.\nAnswer: 29, 2, -2, -23, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.0000005 - 28. What is o rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26512, -26509, -26506?\n\"Answer: 3*g - 26515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 1128*q**2 + 3375*q - 8. Determine x(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + m - 495 = 0, -2*b - 2*m + 271 - 31 = 0. Let r = b - -206. What are the prime factors of r?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 33*i**2 + 73*i + 107. Calculate c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/7))**(-25)\/((p**1\/p*p\/(p\/(p**(-1)\/p))*p*p)\/p**44) assuming p is positive.\nAnswer: p**(383\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose 4 = -3*a - 2*f, -2*a + 3*f = -0*a + 7. What is the remainder when q is divided by ((-3)\/(-2)*a)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 7\/(1\/(18\/4) + 3753\/(-17253)).\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 253, 238, 217, 190?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 761898542\/4379821 + -5\/190427. Let c = r + -174. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h**3 - 165*h**2 + h + 24. Give u(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 19*h + 283. Calculate the remainder when r(0) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6199 rounded to 1 decimal place?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(704) + -1)*-6 + 4*(1 + sqrt(704)) - (1 + sqrt(704) + 3 + sqrt(704) + -3)) + 0)**2.\nAnswer: -704*sqrt(11) + 11385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from detyw. What is prob of sequence yedw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 101 = -o - 2*o - 0*o + m, 0 = 5*o + m + 171 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534 by -6.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h + 1. Let r(q) = 14*q - 2. Give -11*m(t) - 4*r(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3644.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114720067*s**3 - 238331548*s wrt s?\nAnswer: -688320402*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7 + 1. Let t be (42\/(-15) - 3)\/(v\/(-10)). Suppose -t = -11*i + 81. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h - 6731 = -184*h - 256*h + 8596 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207148077 to the power of 1\/2, to the nearest integer?\nAnswer: 14393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55143 and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -73, -86, -69, -10, 103, 282, 539, 886?\n\"Answer: 2*f**3 + 3*f**2 - 36*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i + 9*i + i**2)*(0 - 2 + 6)*(-2*i + i - i)*(-15 + 15 + 24*i).\nAnswer: -192*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.0289.\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1620849 and -8.\nAnswer: -12966792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r + 2. Let g be (-56)\/(-88) - (-16)\/44. Let o(f) = f. Give g*v(h) + 8*o(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118.42593 hours to weeks.\nAnswer: 0.70491625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -38. Let o = s - -101. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let z(v) = 20*v**2 - 15*v + 15. Let o(s) = -s**2 + s - 1. Let f(y) = -15*o(y) - z(y). Give f(a(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 10. Suppose -m + 4 = d, d + u = 4*m - 26. What is the fourth biggest value in -0.5, m, 0.1, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 418, 837, 1256, 1675, 2094, 2513?\nAnswer: 2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14 - 4 + 31*g - 2. Let w be f(4). What is the greatest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 230397797*l**2 + 98014152?\nAnswer: 460795594*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.7 + -3.3. Let i = 5\/19 + -63\/95. What is the closest to i in k, -2\/5, 1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-5)*(0 + -5). Let o = 152 - 152.5. What is the smallest value in -0.1, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*t**2 - 2*t + 0*t - 156*t**2 + 6*t.\nAnswer: -93*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = f + 4*r - 62, -5*f - 3*r + 310 = 0. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5337973090 to the nearest one hundred thousand.\nAnswer: -5338000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let x(q) = -102*q + 2. Let y be x(2). Let t = y - -201. Which is the closest to w? (a) -7 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 276*v + 35. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from quqiieguquqivgeuqq?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 2*o**2 + 18*o - 40. Does 20 divide b(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**3*t - 17327*d**2*t - 32267*t wrt d.\nAnswer: -9*d**2*t - 34654*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:52 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 46528?\nAnswer: 46534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 - 49 - 7*i**2 + 88 - 39.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 less than -9532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65611 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/((-132)\/64))\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322057 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084, 4227, 9472, 16825, 26292, 37879?\nAnswer: 51592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14362 or -14357?\nAnswer: -14362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63054 and 58869?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -12\/7*i + 0 + 15\/7*i**4 - 36\/7*i**2 - 9\/7*i**3 = 0?\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/500 and -17\/192?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*y - 1398 = 134*y + 29*y. Is -153\/25 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 3\/10, 3.\nAnswer: -0.2, 3\/10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.9999944 - 7. What is x rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 46 - 43)*(4*l**3 - 2*l**3 - 4*l**3) to s*l**2 + r*l**3 + j + x*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*y**2 - 81*y**3 - 81*y**2 - 36*y**2 + 631*y**3 + 171*y**2.\nAnswer: 550*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i*q**3*y**3 - 2*i*q**3*y**2 + 2*i*q**3*y - 2020*i*q**3*z + 2*i*q**2*y**3*z - 30*i*q**2*y**3 + 2*q**2*y**2 wrt z?\nAnswer: -2020*i*q**3 + 2*i*q**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b + 19*b - 13134. Let c = b + -271. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(182)\/sqrt(7) - sqrt(26))*3 + -3*sqrt(416))\/(5*-1*(sqrt(200) - (sqrt(200) - (sqrt(200) - (sqrt(200)*-1 - sqrt(200)))))).\nAnswer: 2*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxjxjxjxjjjjjxxxj. Give prob of picking 1 j and 1 x.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39492783 + 14819425 = -34*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -88154?\nAnswer: -88156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1961 = -245. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 305226785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-3 + 0 + (-17 - (-27 - -19)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236976.1 millilitres in litres?\nAnswer: 236.9761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + u**4 - 2*u**3 + (0*u + u**2 + 0*u)*(0*u**2 - 4*u**2 + 6*u**2) + u**4 + u**4 - 4*u**4 + (-1 - 2 + 2)*(u - u - 5*u**4).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-7)*1\/3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.6 + 41.4. Let g = s - 50. Let w be (-5)\/(30\/(-16)) - 2. Which is the third smallest value? (a) w (b) g (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60976 - -60976. Suppose 4*o + 4*q = -12, -5*o + 18 = -5*q + 63. Let u be (-13)\/o - (3 + -1). What is the second biggest value in n, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4102*f**6 + 93*f**2 - 18*f wrt f.\nAnswer: 492240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -15. Suppose -3*y = -d*y + 24. Suppose 4*v - s = 19 + 40, 3*s = 5*v - 79. Calculate the remainder when v is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172.2 <= 1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -574 by -948.\nAnswer: 287\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20*1)\/(-5) - 0. Factor 4*z**5 - 10*z + 8*z**4 - 8*z**2 + 27*z - k*z**3 - 17*z.\nAnswer: 4*z**2*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192855 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15995, -32000, -48005, -64010?\n\"Answer: -16005*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 3. Let z be v(6). Suppose -2*i - 4*d = z + 9, 3*i - 5*d + 12 = 0. Let b(r) = -r - 8. Let q be b(i). Put 2, q, -1 in descending order.\nAnswer: 2, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16977401 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93516, 93681, 93846, 94011?\nAnswer: 94176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - 20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) + 2*sqrt(13))*-6.\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -4, -13.7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33028 and 15916?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + f + 27 = 5*f, 0 = -3*q - 3*f. Let o be 1\/(-3) - q\/9. Suppose 5*g = -4*m + 62, 2*g + 3*g + 3*m - 59 = o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1190236 and -0.252?\nAnswer: -299939.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143246 + 143245. Let f(a) = -a. Let s be f(-5). Let x(r) = 10*r - 2. Let c(o) = o. Determine m*x(y) + s*c(y).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 2. Let p(i) = 4*i. Let r be p(1). Suppose 4*y = 12 - r. Give k(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 86\/23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 2*a)*(4*a + 0*a - 6*a) + 4*a**2 + 3*a**2 - 5*a**2 + 2 + 5*a - 2*a + 3*a**2 - 2*a.\nAnswer: 9*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.3 + -37. What is the second biggest value in 3, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4124 - 2763. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/370 and 19\/888.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164.78, -3\/5, -1\/12.\nAnswer: -164.78, -3\/5, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*w**3 + 30*g**3*w**2 - 863182*g**2*w**3 + 30*g**2 + w**3 + 301*w**2 wrt w?\nAnswer: 12*g**3 - 5179092*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 40, 1, 0 in descending order.\nAnswer: 40, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + sqrt(80) + 4 + (1 + sqrt(80) + sqrt(80))**2.\nAnswer: 24*sqrt(5) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -0.04797.\nAnswer: 38.95203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b**2 - b + 4*b - 2*b. Suppose -4*a + 3*j + 12 = 2*j, j = 2*a - 8. Suppose -4*y + a + 1 = r, -y = 5*r + 4. Give t(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 52\/5 of a tonne?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4 + l**3 - 2*l + 12. Let b be f(-1). Solve 0 = b*a - g - 22, 0 = 4*a - 3*g - 10 - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w**2 + w + 3. Let p be o(0). What is d in d**p + 0 + d**2 + 1\/3*d**4 + 1\/3*d = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -7, -2 in decreasing order.\nAnswer: 9, 5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-5)\/10 - 3). What is the second derivative of z*p**3 + p**3 - 3*p - 40*p**2 + 40*p**2 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 4, 10?\n\"Answer: 6*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/421 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 21922841.\nAnswer: 2\/21922841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166508 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + 0.03. Let g = q + 0.02. Which is bigger: g or -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/6 + 154*s\/3 + 103\/2 = 0. What is s?\nAnswer: -1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(567)*-5 + -5 - (sqrt(567) + 5*-1*sqrt(567) + 1*(sqrt(567) + -1))) + -5)**2 + -2.\nAnswer: -1728*sqrt(7) + 36430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -11, 2, -3 in ascending order.\nAnswer: -11, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 446.643 + -4.52.\nAnswer: 442.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 10*t + 109 = -1751, -2*r = 4*t - 3736. What is the greatest common divisor of r and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-576)\/3)\/3*(-6)\/4. Let p be 18\/(-4)*g\/(-4). Differentiate p*l**2 - 64*l**2 + 7 - 32 wrt l.\nAnswer: 88*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7024, -27628, -61972, -110062, -171904, -247504?\n\"Answer: -u**3 - 6864*u**2 - 5*u - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16075.8 - -16076. Let l be 0 - (4\/1)\/(-2). Let g = -6 + 6.4. Which is the third biggest value? (a) l (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7501*h**3 + h**2 - 63*h + 243266415 wrt h.\nAnswer: 22503*h**2 + 2*h - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 21*d + 33. Calculate l(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -351 - 3642*v + 1528 + 1840*v + 1813*v in the form o*v + y and give y.\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.03, 0.2, -2\/11, -2\/17?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**8\/112 - 3*t**6\/40 - t**5\/10 - 55*t**2. What is z in p(z) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 + -86. Suppose -395 = -4*t + 10*u - 15*u, 0 = -b*u + 9. Calculate the greatest common divisor of t and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1861 in 2, -5, 1, 0, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*s + r, 0*s + 2*r = -4*s + 14. Suppose -2*u + 30 = s*u. Let q(t) = -8*t - 4. Let c be q(-1). Calculate the highest common divisor of c and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 > 251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**16\/(l**(-1\/3)*l)*((l*l**19)\/l)\/(l\/l**0) assuming l is positive.\nAnswer: l**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*f + 1444 - 7436 = 0 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -420*n + 846*n + 2273*n + 82*n in the form w + h*n and give h.\nAnswer: 2781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1930 is divided by 102?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*f**4*h + 4*f**4 + 644*f**2*h wrt f?\nAnswer: -5088*f*h + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/64 and -101\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Let o(b) = b**3 + 7*b**2 - 6*b - 68. Let m be o(-6). Let q = 209 - 207. Sort q, -1, m, j.\nAnswer: -1, q, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from yqtdr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 - 96 = 0. Let q be (80\/r)\/((-4)\/(-14)). Factor -3*s + 4*s**3 + 10*s**4 + 3*s - q*s**2 - 4*s + 0*s**3.\nAnswer: 2*s*(s - 1)*(s + 1)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15339.609715 + 2?\nAnswer: -15337.609715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7847, -15692, -23537?\nAnswer: -31382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 16*s = 150, 0 = q + 3*s + 2306 - 2282 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 - 70*o**2 + 35*o - 8. What is the remainder when u(17) is divided by (-3)\/(10\/(-4) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11\/22)\/(22\/2))\/((-45)\/1620)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s + 20394 = 673*s for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*a = -22 + 28, -4*f + 42 = -a. What is the remainder when 231 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:38 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -29. Suppose h + 4 = 0, -m + 7*h = 2*h + 5. Let w be 1\/(-4) - m\/4. Solve -w*i + i = c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m - 2*m)*(-3*m + 4*m - 3*m) - 2*m**2 - 3*m**2 + 3*m**2 + 2562*m - 5123*m + 2562*m + 209 - 2*m**2 as c*m**2 + k + o*m and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - d - 1 = 0, 116 = -4*f + 2*d + 106 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.15 in -1\/3, 2\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k + 1\/360*k**6 + 1\/120*k**5 - 1\/12*k**4 + 0 + 3*k**2 + 0*k**3. Let q(f) be the second derivative of u(f). Give q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 98. What is c(-20)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 118 = -4*v, 63 = 2*q + q + 5*v. Let c be (-3)\/(-27) - 27\/243. Suppose -z - q + 94 = c. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73\/34604 or 0?\nAnswer: -73\/34604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - 476 + 539 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3021 - 860. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6377.16 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1391 divided by 13.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2395\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -12402?\nAnswer: 12409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let h(p) = p - 1. Let b be h(l). Suppose -2*t - m + 20 = -4, -4*t + 5*m + 76 = b. What is the highest common divisor of t and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(40\/5))\/2*644\/(-112).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33639, -67240, -100841?\nAnswer: -134442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2074*i - 58071. What is v(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447293 is divided by 706.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 10 (c) 0.3 (d) -87475\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 4*t - 552. Suppose 4*d + n = 28, -3*n + 2 - t = -4*d. Solve 5*r = -5*l + 6 - 1, 0 = 4*l + d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -79*p**2 - 33651*p + 1274. Give y(-426).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1278*f + 104940. Calculate p(82).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:43 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1161*u + 1135*u + 234 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*v + 3*t - 0*t, 5*v - 3*t - 13 = 0. Suppose -v*n = -4*d - 12, -4*n - d = -5*d - 40. Calculate the highest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Let b = 103.624 + -103.63. Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24671951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8953151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*w + 31, x + w = -4*w + 2. Suppose 1 - x = -3*k. Let s(u) = 3*u**2 - 2*u + 1. What is s(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**3 + 2*k + 5. Let f(y) be the first derivative of 9*y**4\/4 + 3*y**2\/2 + 6*y - 1863. Give -4*f(x) + 5*q(x).\nAnswer: 4*x**3 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -11. Let k(l) = l + 4. Let g be k(a). Let f be 1 + -2 + g + 0. Is 1\/3 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18167, -18033, -17897, -17759, -17619, -17477?\nAnswer: -17333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.05, -18, -3\/2, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 1. Let f be j(1). Let z(q) = -4*q**2 - 13. Let x(w) = w**2 + 4. Let r(m) = 7*x(m) + 2*z(m). What is r(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 184*y + 135*y + 53 - 53 as f + d*y and give d.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:20 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x*x\/(x\/x**(1\/2))*(x**(-2\/11))**(-2\/89))**(1\/7) assuming x is positive.\nAnswer: x**(-10761\/13706)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1394, 1602, 1906, 2270, 2658, 3034, 3362?\nAnswer: 3606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/21)*p*(p**(1\/5)*p)\/p)**(-10) assuming p is positive.\nAnswer: p**(-232\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -49*j - 1325. Calculate the lowest common multiple of c(-41) and 1710.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) 4 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - (-6 + 11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 13, 1\/4, -3 in descending order.\nAnswer: 13, 0.3, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9408, 18837, 28276, 37719, 47160, 56593, 66012, 75411?\n\"Answer: -b**3 + 11*b**2 + 9403*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020 (base 3) in base 11?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 6*s + 2. Let j be r(-4). Let t(n) = -n. Let c(b) = -3*b. Let a(y) = y**2 - 24*y + 84. Let v be a(21). Calculate j*c(h) + v*t(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 2. Let b be y(6). Suppose -8*h = -12*h + b. Suppose -789 = -5*n + h*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 44*t + 29. Determine q(-5).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/2 - 133*l - 17689\/2 = 0.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 12*b**2 - 12*b - 7. Let z be h(-11). Suppose 2*j = z*u + 20, 2*u + 3*u + 22 = 2*j. Find the first derivative of 2 - j - 6*i + 0*i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r. Suppose 0 = -3*o + 3*z - 0*z + 15, 2*o + 4*z - 4 = 0. Let c(i) = 2*i**2 - o*i**2 + 0*i**2 - i**2. Determine c(g(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 3*v**2 + 3*v. Let q(u) = -2*u**2 - 2*u. Let x(y) = -4*y - 10. Let i be x(-4). Let m = -10815 - -10819. Give i*q(k) + m*c(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1)*4\/8. Suppose h + 15 = 3*h - 5*k, t = -4*h + 3*k + 9. Let o(y) = y - 4. Let a be o(4). Is a > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/745 - 27597\/5960. Calculate the common denominator of k and (179\/48)\/1 - 24\/36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d - 18*d**3 + 19*d**3 + 15*d)*(2*d + d - 4*d).\nAnswer: -d**4 - 28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -883\/16 + 55. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o**2 - 4*o - 4. Let q(d) = d**2 - 2*d + 1. Let g(k) = 30*k**2 - 13*k - 4. Let m(w) = g(w) - 3*q(w). Determine 4*m(n) - 7*s(n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1100) + -1))**2 - ((-2*sqrt(77))\/sqrt(7) + -5).\nAnswer: -318*sqrt(11) + 17621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(1\/8)\/(g\/(g*g\/((g\/((((g*g**1*g)\/g)\/g)\/g))\/g))*g**7*g)*((g**0)**13)**11 assuming g is positive.\nAnswer: g**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 3\/5, -1\/3, -2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111370014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 3:28 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231 by -77.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 12. What is r(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.205635 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46394 and 12?\nAnswer: 278364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -119*s - 2. Let o be z(-5). Suppose 0 = 3*p - 3581 + o. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -5*w - 1\/6*w**3 + 35\/2*w**2 + 0. What are the prime factors of i(0)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177 - 176.98634. Round a to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 135*k**2 - 671*k + 173. Calculate u(-140).\nAnswer: -3887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -3 + -1)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k - 5. Suppose -4*l - 3*y = -0*y + 14, 0 = -l - 5*y - 12. Let m be (1 - l) + 4\/2. What is the units digit of j(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w**5 + 104935*w**4 - 746375*w**3 + 910465*w**2 + 1608520*w - 153200 = 0 for w.\nAnswer: -1915, -1, 1\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -15743, 63?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/((l*l*l**(-7)*l*l*l)\/l*l))\/l))**(4\/15)\/(l**(-31))**50 assuming l is positive.\nAnswer: l**(23246\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 15*n**2 - 12*n - 1. Calculate the remainder when l(16) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.74355 + -0.33332. What is a rounded to three dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 22. Which is the biggest value? (a) -0.03 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {b: 1, w: 1, s: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/5 + 17887*o**2\/5 = 0. What is o?\nAnswer: -17887, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -67\/37, -3\/2, 16\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.5, -279, -13286?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-2)*8\/220. Put -5, -0.2, w in ascending order.\nAnswer: -5, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.207 - 99080170318\nAnswer: -99080170328.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -148 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 1, g: 1, z: 1, m: 1, y: 2}. What is prob of sequence mzpr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 + 219*q - 24. Give c(-44).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**8\/40320 + a**7\/2016 + a**6\/240 + 113*a**5\/60 + 9*a**2 + 4*a. Let r(b) be the third derivative of o(b). Factor r(p).\nAnswer: -(p - 6)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.86 - 0.04. Let q = 1.89956 + v. What is q rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. Let f = 6 - 6. Let h be (f - 3)*20\/(-3). Solve -b*o = 3*o - h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 37 = -45*d - 3*l, -3*d - 4*l = -13. Solve d*k - 8*k + 6 = 5*v, -3*v + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 4, e: 1, z: 12}. Give prob of sequence ln.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -11*r**7\/30 + r**4\/6 - 23*r**3\/6 - 775*r**2. What is the second derivative of a(p) wrt p?\nAnswer: -924*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76574467 + 5?\nAnswer: -76574462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -537070*l + 15750. Let s be m(-15). Round s to the nearest one hundred thousand.\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35970751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:06 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -35.1 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + y + 4 + 3*y**2 + 3*y**4 - 4 + y**3 as k*y**3 + l*y + v*y**2 + h + b*y**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*-3*(sqrt(80) + 2*sqrt(80) + sqrt(80)))**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:55 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 15 - 13. Let b(p) = -4*p + 3. Let q(g) = -2*g + 1. Let f(o) = j*b(o) + 6*q(o). Give f(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - l = 5*t, -t - 4*l = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1917 = -2*n, -3*n = 544*t - 542*t - 3831. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 17*x + 23. What is the remainder when 44 is divided by u(17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 426011509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 65\/48?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -0.106?\nAnswer: -1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.3? (a) -0.3 (b) 0.2 (c) 0.003 (d) 0.3 (e) 5 (f) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.321 + 0.021. Let h = x - -2.2. Let p = 936\/7 + -134. Which is the nearest to 0.2? (a) -0.4 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.21 - 0.21. Let r = -560.6 + 561. What is the smallest value in r, 3, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 4*s - 93. Let o be j(-12). Let m = 294 - o. Solve -m*v + 29 - 35 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109729 less than 1109734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Let s(k) = -2*k**2 + 12*k + 10. Let u be s(7). Let q be (5\/10)\/(6\/u). Which is the closest to q? (a) 4\/7 (b) 5\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5404 - -5433. Calculate the highest common factor of j and 2987.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 - 69*r**2 - 241*r + 254. Does 42 divide j(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (-2*sqrt(80) - sqrt(80))))**2 + -1 + (-1 + sqrt(80)*-1)**2.\nAnswer: 296*sqrt(5) + 2996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 + -0.3856189158.\nAnswer: 24.6143810842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.4 (c) 10 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s. Let f be n(1). Let l be (-16 - -13)\/((-3)\/(-14)). Let w be (8\/l)\/((-180)\/126). Which is the smallest value? (a) f (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47761 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/4)\/(21\/18))\/(45\/12).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 360591691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.83 + 6. Let u = s + 0.13. What is the closest to -0.9 in -2, u, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.009, -71\/5, -1\/4, -872, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7091\/81020?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, p: 10}. Give prob of sequence op.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1503*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -784*g - 21701. Calculate a(-28).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22464598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o + 5. Let m be r(-5). Suppose 2*z + 35 = 4*v - z, 3*z = 5*v - 40. Suppose -v*p = -40 - m. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j + 15. Let n be (54\/3)\/(j\/(-381446)). Let c = n + 1098676. What is c rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213910.9 centuries to millennia.\nAnswer: 21391.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4783*w = -1470*w + 205406 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 4, -3 in decreasing order.\nAnswer: 4, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*r = 2*r + 42, 74 = 4*m + r. Let i(x) = x**3 + 4*x**2 - 12*x + 19. Let w be i(-6). What is the greatest common divisor of w and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/320 or -0.21?\nAnswer: 17\/320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*m - 5*i + 418, 209 = 2*m + i. Let u = m + -64. Let f be 4 + 2\/(u\/(-87)). Which is the smallest value? (a) 0.4 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207 + -168. Suppose 2*f = -27 + u. Solve 3*b = -21 + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820298528?\nAnswer: 2, 7, 1213, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -461 and 229070385932.\nAnswer: 229070385471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiu when three letters picked without replacement from {a: 1, u: 2, h: 3, s: 3, i: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 - (9 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 5. Let g(n) = -n. Let i = 4063 + -4062. Give i*x(k) - 5*g(k).\nAnswer: 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 33*a**2 - 14*a + 94. Give f(-33).\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1)\/(18 - 16). Solve -5*o = 5*a - c*a + 40, -28 = 2*o + 5*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + 3500. Suppose -z = -14*i - 838. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*z**3 - 291*z**3 - 302*z**3 + 1160*z**3 - 281*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - ((sqrt(22) - -3*sqrt(22))*-3 + sqrt(22))) + sqrt(22))\/sqrt(11).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12283 - 3?\nAnswer: -12286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/36 - 11\/9. Let x = 208 - 208.1. Sort -0.3, p, 0.3, x in descending order.\nAnswer: 0.3, x, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzqdqqzqzqeczd. Give prob of picking 2 d and 2 q.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 8) to base 16\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 525 divided by -18171\nAnswer: -175\/6057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186249*g**2*w - 8*g*w - 2610*g wrt g?\nAnswer: -372498*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -2.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f - 6986. Let u(p) = -610*p**2. Give m(u(b)).\nAnswer: -2440*b**2 - 6986","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47717, 47729, 47741?\n\"Answer: 12*c + 47705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18625 - 14636. Which is smaller: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (27 - 8) - 6 - (9 - 1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 837 divided by 89823\nAnswer: 279\/29941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 322?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 970956 and 863072?\nAnswer: 7767648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m*m*m*m*(m*m*m\/(m**4\/m)*m)\/m*m)\/(m**0\/((m*m**2*m)\/m)))\/((m**(1\/4)\/m)**(1\/11)\/(m\/(m**(-6\/7)\/m*m)*m**(-3\/2)\/m)) assuming m is positive.\nAnswer: m**(3211\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m + 2*v + 6, -2*m + 4*v + 4 = 0. Let w(s) be the second derivative of 1\/12*s**4 + s**3 - 3*s**m + 0 + 3*s. Determine w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1095, 6\/7, -1\/2.\nAnswer: -1095, -1\/2, -0.1, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 1306\/4 + 17\/(-34)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 3771 = -20*z. Calculate the remainder when z is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 + 7\/(-6) - -488 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48245 = -4*t + 49527. Suppose 4*x = -3243 + t. What is x rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 48521228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = i - 2*i. Let a = i - -324. Suppose 3*f + s + 47 - a = 0, 5*s = 2*f - 78. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*j = -21. Solve -j = 5*x - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221788*l + 221782*l - 4*o = 0, -3*o = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 267 and 18?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (-61 - -75)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puw when three letters picked without replacement from {a: 1, r: 3, u: 1, p: 1, w: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001906132 rounded to 7 decimal places?\nAnswer: 0.0001906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + h**2 - h**3 - 2*h**2 - 4. Let x be r(-3). Let i(c) = -3*c + 1. Let v(s) = 16*s - 5. Let j(t) = 11*i(t) + 2*v(t). Give j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2002 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v + 15*v - 504. Calculate the greatest common factor of 623 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5725 is divided by 241?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*n - 14 + 12, 4*n - 14 = 2*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - (-22)\/4. Let x = -0.15 + -14.85. Let d = x - -11. Sort 1\/6, d, i in decreasing order.\nAnswer: i, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 1a774a?\nAnswer: -1a7754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 382059376534 plus 0.4?\nAnswer: 382059376534.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -62. Let d = 2 + p. Let t = 37 - d. What is the biggest value in 0.05, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1238734 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/8*212\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*o**3 - 3*o + 2*o + 651*o**3 + 0*o.\nAnswer: 596*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 12*w + h - 28, 5*w - 4*h = 75 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3\/9 + 508*v**2\/9 + 544*v\/3 - 1040 = 0 for v.\nAnswer: -6, 3, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1612 and 771198532.\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 8*z**2 - 3*z - 4. Let s be m(6). Suppose 0 = -6*c + c + s. Let g = 0 + c. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 4*d - 3*d**3)*((0*d + 2*d - 3*d)*(5 - 2 - 2) + d - 2*d - d) to k*d + j + f*d**3 + x*d**4 + h*d**2 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114006379*w**4 + 539653862*w wrt w?\nAnswer: 1368076548*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*452744\nAnswer: 996036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-23.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 8.7. Let w = r - 4. Let a be 1\/6 + 2\/(-3). What is the nearest to a in -0.1, w, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g*l*s**3 + 33*g*l*s - 11*g*s**4 + 3*g*s**3 + g*s + 3*g + l + 2 wrt s.\nAnswer: 90*g*l*s - 132*g*s**2 + 18*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3595 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from mxnsoxxmnnc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 8. Give y(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -1\/180*w**6 + 0*w + 1\/9*w**4 + 2 + 4*w**2 + 4\/3*w**3 - 1\/30*w**5. Factor n(u).\nAnswer: -2*(u - 2)*(u + 2)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*w - 8, -3*m + m - 8 = 0. Let l = -13 - -9. Sort l, w, -1\/8, -2 in ascending order.\nAnswer: l, w, -2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/285 and 1\/78?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -92 + 84*t**3 + 95 + 285*t**3 + 31*t**3 as x*t + y*t**2 + p*t**3 + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oixoigiiinojoo. Give prob of sequence ig.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Let b = -121 + 171. Let u(o) = -42*o - 50 + b. What is r(u(q))?\nAnswer: -1764*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 128*u**2 + 2*u + 1. Determine c(1).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7320)\/(-200) + -37 + 1*14\/10. Let q = 7 + -2. Let u be -9*(q\/3)\/5. Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -t - 4*t + 2*f, 0 = -5*t - 4*f + 45. Find the first derivative of -t*b - 1 + 0*b - b + 4*b wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0033 and -4344 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-4) - 3\/(3\/1). Suppose 329 = 9*k - 5*k + j*q, -q - 1 = 0. Calculate the remainder when k is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*r**2\/3 + 358*r\/3 - 320\/3 = 0. Calculate r.\nAnswer: 1, 160\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4956260750.\nAnswer: 2, 5, 7, 17, 166597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 25959*o. Let a(j) = -18*j**2. Calculate g(a(i)).\nAnswer: -467262*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-14))\/(14\/(-392)). Let k be 1*(3 + 1*-2). What is the remainder when 21\/(-7) + c\/k is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 91 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6668 + 18300 = -1454*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 89, 650, 1935, 4232?\nAnswer: 7829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324174995 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1043, -11.8, -21 in decreasing order.\nAnswer: 1043, -11.8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*u - 4*h + 28, h + 50 = 4*u. Let k = u - 3. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -786, 65, 5, 1 in increasing order.\nAnswer: -786, 1, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (0 - (0 + -3 - 5 - -9))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 2*m**2 - m + 15. Let f be y(-4). Let p = f - -85. What is the remainder when p is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/7))**(-1\/5)*l*l**(1\/59)*(l*l\/(l*(l**(-24)\/l)\/l))\/l assuming l is positive.\nAnswer: l**(56262\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1862678\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(98) - (sqrt(98) + -5*(sqrt(98) + sqrt(98) + 0))) + sqrt(98) + 1)*6.\nAnswer: 36 + 462*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 4 - 11 + m**2 + m**2 + 2*m**2 - m**2 + (0*m - 3*m + 4*m)*(-3*m - m + 2*m) - m**2 - 2 + 2 + m**2 + m**2 + 0*m**2.\nAnswer: 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862136?\nAnswer: 2, 11, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/8 - -1)*(-9 - -5). Suppose 0 = a*c - 0*c - 6, 4*r = 4*c - 4. Suppose 6*q - r = 59. Solve 1 - 9 = 4*f, -q = 3*n + 5*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Suppose -7*k + 2*k = -40. Suppose -4*z + 0*z - k = 0. Calculate the lowest common multiple of 5 and q(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 + s**2 + 7*s - 7. Let g(o) = 5*o**3 - 8*o + 8. Let u(j) = -5*g(j) - 6*l(j). Give u(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, -7, -5, 3, 17, 37, 63?\n\"Answer: 3*s**2 - 13*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*b - 0*b + 5*l, 3*l = -5*b - 6. Suppose b - 8 = -a. Suppose a = -5*i - 7. Let h(u) = -2*u + 1. Determine h(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 3. Let u(z) = z - 2. Let m(p) = 5*t(p) - 4*u(p). Differentiate m(o) with respect to o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6440168 divided by -8?\nAnswer: -805021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83861 - 39615. Let i = h - 29449. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = j - 99 - 4, -u = 4*j - 487. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + 0*q)*(-2*q + 4*q + 0*q) - 2*q**2 + 3*q - 3*q + 249*q**2 - 229*q**2 - 8 + 7.\nAnswer: 12*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**6\/180 + y**5\/15 - y**4\/4 - 11*y**3\/6 - 11*y**2. Let f(o) be the first derivative of w(o). Determine s so that f(s) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 756\/5 - 151. What is the biggest value in 0.1, 3, y, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -360480571*y - 9463912 wrt y?\nAnswer: -360480571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 8*f - 4. Suppose h + 5*k - 17 = 0, -2*k - 220 = -6*h + h. Let m be (f\/(-6))\/((-4)\/h). What is the highest common factor of m and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -334800 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 1. Let j(t) = 4. Determine j(n) - 3*v(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -6*t, 4*r + 5*t = 10004. Suppose 1559 = 20*i - r. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Suppose 16*f = 21*f - 925. Let r = -163 + f. What is the smallest common multiple of c and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2)\/(m\/m**6))**4\/((m*m**2*m)**38\/(m**(-1\/4)*m**(-5))) assuming m is positive.\nAnswer: m**(-501\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-54)\/38) - -6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -18. Put y, -5, 3\/4 in increasing order.\nAnswer: -5, y, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 + -7 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -239\/4. Let s(z) be the first derivative of p*z**4 - 2*z + 0*z**2 + 0*z**3 + 1. Find the first derivative of s(m) wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 14*m + 24. Does 22 divide s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 423*g - 4441. What is x(10)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Let d = -10 - -19\/2. What is the nearest to -0.1 in s, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2783 and 85\/25047?\nAnswer: 25047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650000.1 rounded to the nearest 1000?\nAnswer: 2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 - 22*x**2 + 40*x - 15 - 40*x.\nAnswer: -22*x**2 - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -38*47\/(-4465)*((-10)\/(-29))\/(-2)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25490 - -35989. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95535 + -95531. Suppose -5*k = -3*k - 4. Solve k = 2*o + t - 13, -4*t = h*o - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -201975 - -201874.839. Let r = -99.6 - v. Round r to 2 decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:51 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**9\/60480 + g**8\/20160 - g**7\/5040 + g**6\/720 + 3*g**5\/20 - g**2. Let x(q) be the third derivative of v(q). Give x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzzzzbzzuzbzzbzub. Give prob of sequence zb.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 2. Let s be b(0). Suppose -2*w = -5*i + 8 + 4, s*w = -i + 12. Suppose 0 = -2*n + 8 - i. Solve 6 = 2*a - n*p, 5*a - 3*p = 4 + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k + 2*k**2 + 1 + 7*k - k. Let v be t(-1). What is the derivative of -2*j**v + 1 + j**2 + j**2 - j**2 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30919)\/(-294) + (-5)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 - 1. Let x(s) = 8*s**3 - 4*s**2 + s - 4. Let y(g) = -g**3 - 1. Let k(p) = x(p) + 2*y(p). What is 4*c(l) - k(l)?\nAnswer: -2*l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Let r be s(0). Let j = -9 + 9. Which is the closest to r? (a) 0.5 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/20 and (2553\/368)\/((-6)\/4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -116, -173, -230, -287?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/4, -1\/8, 0.3?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (-9 - (16 - 37 - 3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:59 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.465 rounded to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1214*i - 10828. Let w be k(-8). Sort -2\/7, w, 2 in descending order.\nAnswer: 2, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2212 = 29*f - 22*f. Do -316 and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279 + -432. Let u = 286 + k. List the prime factors of u.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u + 8. Let x(t) = 7*t + 4. Let i = -16 - -25. Let h(g) = i*x(g) - 4*d(g). What is the units digit of h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 798*l**3*v**3 - 65*l**3*v**2 - 318*l**3*v - v**4 + 114*v**3 - 8*v**2 wrt v.\nAnswer: 4788*l**3 - 24*v + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 5.1. Suppose 20 = 5*s + o, o - 7 = -3*s + 3. Suppose 5*p - 6 = 2*v, 2*v - p - 8 = -3*p. What is the closest to v in -4, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/6*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2. Let n(b) = -15128*b. Calculate n(c(q)).\nAnswer: -45384*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/4)*h\/((h*h**3\/h)\/h))\/((h*h**(1\/4))\/h**(1\/2)) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*z - 4, -29 + 27 = z - 5*o. Suppose 4*j - 3*v = 2, -v - 3*v - 9 = j. Put z, j, 0.1, 4 in decreasing order.\nAnswer: 4, 0.1, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260 + 2055. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30707 - -30716. What is the remainder when 988 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1414.6, -2, -10, 3, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*y - 28 = 0, -2*y = -61*h - 26*h + 81*h - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 733768 divided by 366884?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x = 26*x - 11*x - 817 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 0*h)*(0 + h**2 + 0)*(-8*h - 5*h - 9*h).\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 14*v - 24.\nAnswer: -(v + 2)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/871 or -23.526?\nAnswer: -2\/871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/7 - 560*g - 137200.\nAnswer: -4*(g + 490)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13\/2 (b) -0.1 (c) 35563\/94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -19*o + 2250. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 3, j - 4*z - 4 = 0. Solve j = -5*i - 7 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3. Which is the third biggest value? (a) -4 (b) 5\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 472474\/3 or 157490?\nAnswer: 157490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-5)\/(v**(-1\/2)\/v**(2\/15)) assuming v is positive.\nAnswer: v**(169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1615, -157, 2 in decreasing order.\nAnswer: 2, -157, -1615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 492*h**2 + 477*h + 774*h**2 - 477*h to r + j*h**2 + d*h and give j.\nAnswer: 1266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 36112 - 495056 = -30*h. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108104 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjbqjqjqjjqqjqjjjj. Give prob of picking 3 q and 1 b.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (74\/(-3))\/((-40)\/15) + -5?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 1. Let d(h) = -20*h**2 - 2*h + 1. Suppose -6 = 2*z - 4*s, 8 = -6*s + 10*s. Give z*k(y) - d(y).\nAnswer: 20*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607007.7ns to minutes.\nAnswer: 0.000010116795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53931 + 3.\nAnswer: -53928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 25. Let v(h) = -h**2 - 10*h - 4. Let l be v(d). Solve 14 = -l*m - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3026 (b) -2\/201 (c) 0.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 5*k = 460. What is the remainder when k is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/4)\/h)**(-4\/27) assuming h is positive.\nAnswer: h**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 20*i**2 - 1. Suppose -2*q + 4*w + 1 - 11 = 0, 3*w = -3*q + 12. What is the remainder when 75 is divided by j(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 6. Let z be j(-5). Let d be (z\/28)\/(2\/7). Suppose -t - 2 = -d*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 + 3*h**2 - 8*h + 6. Suppose -a + 11 - 7 = -2*n, 0 = 4*a + 4*n - 16. Let x(q) = 6*q**3 + 4*q**2 - 9*q + 7. What is a*x(u) - 5*s(u)?\nAnswer: -u**3 + u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/2 - 81*z**2\/2.\nAnswer: -3*z**2*(z + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -53. Suppose -8*s = -q*s - 504204. Let i = -44034 + s. Round i to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.094 and 0.12168144.\nAnswer: 0.21568144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) 0.4 (c) 0 (d) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - 16. Let v be 81\/j*(-128)\/3. Let r(l) = -l**2 + 15*l - 30. Let w be r(9). Calculate the greatest common divisor of w and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:18 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.5589 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 divided by -2?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 11 = 5*b, 0 = -5*l - 2*b + 32. Calculate the greatest common divisor of 42 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 28*h + 55. What is a(9)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -55. Calculate the remainder when 27 is divided by (-150)\/(-14) - (w\/(-7))\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 50 + 97. Let o be (9*1\/(-2))\/(2\/4). Is o\/x - 36526\/(-49) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(2*(sqrt(160) + sqrt(10))) + 2)**2 + -2.\nAnswer: 2*sqrt(7)\/5 + 207\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -2*n + r, -4*n - 3*r + 5 = 0. Suppose -2*c + 4*d - 6 = 0, 5*c - 15 + 6 = n*d. Calculate the least common multiple of 11 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.118 times 153\nAnswer: -18.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -567.1, -432\/11, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n - 2*o, 4*n + 3*o - 8 = -2*o. Suppose -a = -2*a + n. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 7*k + 74 - 167. Solve k*f + 8 = x, 32*f - 30*f = -2*x - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 23*i + 0 - 12*i + 15*i - 6.\nAnswer: 26*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3003 = 4*n. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 72*p**2 + 304*p + 10950. Determine d(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4124430 (base 7) to base 12.\nAnswer: 1b9916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 23*b - 177 = 2*n + 164, 0 = -4*n - 4*b + 56 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(99) + (sqrt(99) - sqrt(99)*-2))**2*-5 - sqrt(99))*3.\nAnswer: -118800 - 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t - 0*m + 5*m, t = -m + 7. Suppose -9*y + 5*y + 84 = 0. Calculate the remainder when y is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65235 and 1695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 15*v**2 - 17*v - 2. Is r(-14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**3 + 889864*r**2 - 1779740*r + 889872 = 0.\nAnswer: -222468, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(270) + sqrt(270))*-2)\/((sqrt(110) + sqrt(110) + ((sqrt(110) - (sqrt(110) - (sqrt(110) - -1*sqrt(110)))) + sqrt(110))*3)\/(-1*sqrt(891))).\nAnswer: 270*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 2*h + 28 = 10*l, -3*l + 58 = h. What is the lowest common multiple of l and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031443 (base 5) in base 2?\nAnswer: -100010101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360455.44 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0, -0.5, 0.073 in descending order.\nAnswer: 3\/2, 0.073, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23022 and 220.\nAnswer: -5064840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Let o be (-2)\/386*2*-1. Let r = -179\/1351 - o. What is the closest to y in r, 0.5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*l - 137*l + 6560 = -77*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17040843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2205448?\nAnswer: 2, 7, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**6*(d*d**(-2))\/d*(d*d\/(d*d*d*d\/(d**(1\/4)\/d)))**20 assuming d is positive.\nAnswer: d**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 60 = 6. Let h = w + -7. Suppose -47 = -9*q - h. Solve 0 = -0*o - q*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03494 + 20.96506. Let l = -2.3 - -2.3. What is the nearest to 0 in w, 1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 824 and 11536?\nAnswer: 11536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 12*w + 23. Let n(q) = -q**2 + 6*q + 12. Let z(s) = -5*n(s) + 3*u(s). Let v be z(7). Let r = 3 + -2. Solve 0 = -3*y - v - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g. Let b(k) = -621*k. Give z(b(i)).\nAnswer: 1863*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 429.5965 centuries in years?\nAnswer: 42959.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -25938\/1213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5900.7757 rounded to 0 decimal places?\nAnswer: -5901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/120 - i**4\/24 - i**3\/2 - 4*i**2. Let h(d) be the first derivative of g(d). Let u(q) = q - 1. Determine h(t) - 3*u(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10\/q*q*q**(-31)*q)**40 assuming q is positive.\nAnswer: q**(-800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*u + 1825*g**2 - 23*g*u**3 - u**3 with respect to u.\nAnswer: -3*g**2 - 69*g*u**2 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/18*(-9)\/189.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 508 + 1887. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b. Let r(z) = 6*z**2 - 5*z. Let o(u) = -5*q(u) + r(u). Let v(f) = -15*f. Determine o(v(k)).\nAnswer: 225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*n**3 + 3*n**2 + 0*n - 107*n**3 + n + 0*n**2 in the form m + q*n**2 + x*n**3 + o*n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/27 + (-82)\/126.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 - 54*n**3 - 12*n**4 - 4*n**2 + 70*n**3 + 3.\nAnswer: -4*n**2*(n - 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 13374*x + 320442. Determine a(24).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*c*f + 13715*c + 6*f**4*i - 3*f**2*i**2 - 2*i**2 wrt f.\nAnswer: 50*c + 24*f**3*i - 6*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210015979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3052 is divided by 1003?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.650148122 to 4 decimal places.\nAnswer: -2.6501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f - 237 = 387 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.26627 kilograms to nanograms.\nAnswer: 56266270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39990)\/1023 + (-2)\/(-22). Let r be -38 - x - (-14 - 0\/1). Solve r*s + 88 = 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and -0.02492.\nAnswer: -0.94696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 97*n**2 + 1929*n - 990. Calculate q(-114).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -o - n, 2*n + 2 = -o. Let w be (-3)\/(1 - 2) - o. Let z(r) be the third derivative of -r**6\/120 + r**5\/30 + r**3\/3 + 61*r**2. Give z(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 15) to base 13.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85696, 171390, 257096, 342820, 428568, 514346, 600160, 686016?\nAnswer: 771920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-121))\/(3*(-10)\/(-90)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*(-10 + 8). What is the closest to h in 2, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((-1 + sqrt(1008))*-6 + sqrt(1008)) + -3)*4)**2.\nAnswer: -34560*sqrt(7) + 1614096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 617*r**2 + 4 - 146*r**2 - 474*r**2.\nAnswer: -3*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:22 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/((-16)\/(-80)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001276 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 16a?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 6. Let m be y(2). Factor 18*v - 9*v - 8*v**2 - 4 + v**3 + 2*v**m.\nAnswer: (v - 4)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/204865 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1175 and 17907.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351.3202us in hours?\nAnswer: 0.0000006531445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 13*u. Let n(y) = -y**2 + 3*y + 180. Let g be n(14). Let i(p) = -3*p. Determine g*i(s) - 6*v(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 389052*f**2 - 579616 wrt f?\nAnswer: 778104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*k - 19, 5*a - 30 = -0*a - 3*k. Suppose -p - a = 1. List the prime factors of (-6)\/p*8\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*a + 14. Let g be 4\/a*20\/(-8). Let h(n) = -1041*n + 5207. Let j be h(5). Solve j*z + 5*p - 17 = 0, 4*z = -g*p - 2*p + 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 18. Let y = p + 9. Let n = -582 - -586. Calculate the smallest common multiple of n and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 5*v**8\/336 - v**7\/42 - v**6\/12 - 36*v**2. Factor a(i).\nAnswer: 5*i**3*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let u(k) = -1. Let i(r) = -3*p(r) - u(r). Differentiate i(t) wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2))**36\/(i**(2\/3)*i\/i**1))\/(i\/(i*i**(5\/2))*i\/(i*i\/((i\/i**(-6))\/i))*(i**(-1\/2)*i*i)**16) assuming i is positive.\nAnswer: i**(485\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14541748.\nAnswer: 2, 13, 279649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4288 and 1216?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10096533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/17, -1, 0.3, 3 in descending order.\nAnswer: 3, 0.3, 2\/17, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -214 < -427\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10045 + 10050. Which is the nearest to 13? (a) 0.34 (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(10)\/sqrt(2) - (-1*sqrt(40))\/sqrt(8))*-5.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -277*b + 140*b - 336*b + 6510372. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 - 159 + 324 - 41*j**3.\nAnswer: -41*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 23*q - 8. Let y(o) = -2*o**2 - 8*o + 3. Let h(x) = 3*s(x) + 8*y(x). Let a(i) = -12*i + 11 + 20*i - 10*i. Let f be a(3). Give h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8470 + 8?\nAnswer: -8462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001298 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - 93. Let y be (-12)\/q - 1201\/(-3). Suppose 0 = -4*g + y + 421. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwicwiiwi. Give prob of sequence cw.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/150)\/((-49)\/(-245))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/(6370\/(-20)) - (1 - 11\/35).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -3. Suppose -z - 2 + 0 = g, -5*z = -o*g + 10. Let h be -1 - (31\/(-11) - z). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(561)\/sqrt(396) + sqrt(51))\/(sqrt(3) + (sqrt(30)*-2)\/sqrt(10))*1)**2.\nAnswer: 833\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*p + 9277 - 9279 - 6*p - 12*p.\nAnswer: -64*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 at least as big as 1228\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(10\/(-4) - -3). Suppose d = -0*q - 2*q + 10. Calculate the least common multiple of q and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/4)\/(1\/(1\/(-6))))\/(-5)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 - 150. Which is bigger: a or 48?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 658207*h**6 - h**2 + 92684*h wrt h?\nAnswer: 78984840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1060*b**5 - 4*b**4*u + 2*b**2*u + 5261*b**2 wrt b?\nAnswer: 63600*b**2 - 96*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2556.97 hours to nanoseconds.\nAnswer: 9205092000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0831 and -71.\nAnswer: 5.9001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6807, -13951, -21429, -29241, -37387, -45867, -54681?\nAnswer: -63829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v + 37 - 1. Calculate the common denominator of 35\/11 and 38*((-38)\/8 - v).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-30))\/((-63910)\/21912)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862121.8 minus 23.8131?\nAnswer: 862097.9869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 3114?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60260262 divided by 2.\nAnswer: -30130131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612301904.\nAnswer: 2, 19, 2014151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccococo. What is prob of picking 2 o and 2 c?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 3*p + 3. Let w(b) = b**3 + 2*b - 2. Let k = 23 + -32. Let z be 36\/k*2\/4. Give z*g(y) - 3*w(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*p**4 - 71*d*p + 59*p**4 - 7*p**3 + 5*p - 1 wrt p?\nAnswer: -12*d*p**2 + 708*p**2 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 4\/3*n - 8\/3*n**2 + 0.\nAnswer: 4*n*(n - 1)*(3*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9146 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 296529972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -78, -176, -342, -600, -974, -1488, -2166?\nAnswer: -3032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-5 + -1)*(-44)\/3. Let n = 100 + j. Calculate the highest common divisor of n and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.03 + 4. Let r = 2.97 - v. Let s = 128\/3 + -42. Which is the second smallest value? (a) s (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*c - 54, 0*c + 355 = 5*v + 2*c. Suppose -x + 54 = p, -3*x + v = p + x. Suppose -p = -4*o + 123. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -10. Let l = -1089827 - -358553372\/329. Let g = 48\/47 - l. Which is the smallest value? (a) -3 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(100)\/(-1*sqrt(5)))\/((sqrt(16)\/(sqrt(16)\/sqrt(4)) - sqrt(4)) + sqrt(4)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10844 or -10846?\nAnswer: -10846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 + 14*f**2 + 9*f - 38. Calculate l(6).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 - 1. Let b(r) be the third derivative of -3*r**6\/40 + r**5\/20 + r**4\/24 + r**3\/2 + 47*r**2. What is b(n) + 3*d(n)?\nAnswer: -6*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*u = 27, -5*g - 121986*u = -121987*u + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48121 is divided by 535.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 832101 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 0.01 (c) 82 (d) 2\/7 (e) 1\/7 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*i = -55265 + 50243 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-61)\/(-2) - (-8)\/(-16). Suppose 6*p + 0*p = h. Suppose p*v - 18 = 4*v. Calculate the least common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.76 + 0.24. Let d = h + -5. Put 0.6, -0.4, d in descending order.\nAnswer: d, 0.6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 14 - 256*w - 43)*(w - w - w**3).\nAnswer: 256*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 899*q**2 - 898*q**2 - 54.\nAnswer: q**2 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*s - 10 = -130*s. Calculate the greatest common divisor of s and 446.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/296)\/((-1)\/(-4)) - (2 - -57)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 divided by -3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 32 - 68 = 0. Let h = q + 13. Let u be (-1 + -3)\/(h\/(-8)). Solve 5*b - 12 = u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -211*z - 138. Let i(f) = f + 7. Let c(v) = -2*i(v) + m(v). List the prime factors of c(-6).\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31548397?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2706 and 32010?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 9*s**2 + 81*s - 49. Give h(-12).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234) - -1*2*sqrt(234))\/(-2*sqrt(12)\/sqrt(2)))\/(4*(sqrt(18)\/(sqrt(24)\/sqrt(4)) + sqrt(3) + sqrt(192))).\nAnswer: -3*sqrt(13)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -5)\/(2\/(-4)). Suppose -3*t + i = -6*t. Sort 5, 4, t.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87994*b - 87994*b - 969*b**2 + 1993*b**4 wrt b?\nAnswer: 47832*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqhaqqihshahhkha. What is prob of sequence qa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + -2*sqrt(11) + 0 - ((sqrt(11) - (sqrt(528)\/sqrt(3) - sqrt(11))) + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i - 4. Let f be y(3). Suppose -f*a + 0 = -50. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 39*t - 91. Let o be c(12). Let v = o - -1956. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8734143l?\nAnswer: 873.4143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 147*z**5\/2 + 400176*z**4 - 75822972*z**3 - 2036476173408*z**2 - 1163682064296*z - 166239408000 = 0.\nAnswer: -3722, -2\/7, 2000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 15. Let v = -12 - y. Which is greater: v or -12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 - u**2 - 10*u - 14. Suppose -47*v - 195 = -44*v. Let j = -58 - v. Is d(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9))\/(2\/(-36)). Suppose 5*o + 18 = 3, 2*d - o = 7. Suppose 0 = d*n + 2*k - 10, -k + p = 2*k. Solve n*r + m - 7 = 0, 4*r - 4*m + 3*m = 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-93)\/(-24) + 2\/16. Suppose 5*d + z*y - 277 = 0, -5*d - 5*y - 18 = -298. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 3. Let f be x(-1). Let i(r) = -7*r + 3 - 3 - 4*r. Is i(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 4) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 41. Let d be p(14). Solve -3*v + v = 0, 3*v = -x + d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 334 * 0.0034791.\nAnswer: 1.1620194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (52\/104)\/((-3)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**3 + s**3 - 61*s**3.\nAnswer: -85*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45c60 + -4?\nAnswer: 45c5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - -9 - (1 - 3). Suppose 2*r + 22 = 2*h, 14 = -h - 3*r + 5. Find the third derivative of -s + h*a**6 - 80*a**2 + 56*a**2 + 3 wrt a.\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 7*t + 2. Let w be n(6). Let h = w + -6. Suppose p + 4*y - 3*y - 17 = 0, -h*p - 5*y + 43 = 0. What is the remainder when 26 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddtt when four letters picked without replacement from {d: 3, t: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/11, -5, 3925?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-24)*(-134560)\/147175?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 + -10 + 18 + (1 - 28)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/15 - (-48)\/5. Suppose -6*l + i*l - 20 = 0. Suppose 16000 = -0*y - l*y. Round y to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1193.6 and -2.567.\nAnswer: -1196.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 4*o + 14*o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42b + 5b1a?\nAnswer: 6046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 64118492 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 2*w + 19. Let v be o(6). What is the biggest value in v, -1\/8, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n**6)**41 assuming n is positive.\nAnswer: n**(-410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -19035 <= -17793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1091 or -1063?\nAnswer: -1063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-116)\/(0 - 2)*2. Suppose 2 = -3*k + g. Suppose -t + 3 = 0, 4*l - k = -4*t + 62. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-5)*20\/32. Let l be 1 - 1 - (-2 + -1). What is the nearest to -1\/2 in l, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33396 by -92.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/8)\/(6\/4)*-3. What is the second derivative of 3392*t + 3*t**4 + 8*t**5 + x - 2*t**5 - 3334*t wrt t?\nAnswer: 120*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**2*v - 107*m**2 - 1924*m*v + 9*v - 6 wrt v?\nAnswer: -m**2 - 1924*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19497980 divided by 170?\nAnswer: -114694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157941937 is divided by 755703.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -24. Let t = -72 + 73. Put a, t, 22 in increasing order.\nAnswer: t, a, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 26602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*q - q + 33 = 0, 0 = 5*u + 4*q + 10. Let c(v) = 2 - 3*v - u. Let s(y) = -17*y**2. Calculate s(c(g)).\nAnswer: -153*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - (-702)\/138 - (-159986)\/23.\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 26 = -3*f, -258 = x - 5*f - 228 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12456 and 108855752.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**4 + k**3 + k**2 + 1. Let v(q) = 132*q**4 + 315*q**3 + 174*q**2 + 6*q + 15. Let i(o) = -15*p(o) + v(o). Factor i(f).\nAnswer: 3*f*(f + 1)**2*(49*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {i: 1, q: 1, y: 1, m: 3, z: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.4 (c) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7707554g in kilograms?\nAnswer: 0.0007707554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.58 + 0.42. Let t = 2.1 - q. Which is the smallest value? (a) -0.1 (b) -2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 + -123. Let i = -252 - -251.9. Sort 3\/5, -3, y, i.\nAnswer: -3, i, 3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060749 greater than 2060708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*11241.\nAnswer: 22482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 40*q - 87. Determine y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)\/w)\/w*w**9\/w assuming w is positive.\nAnswer: w**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 5*o. Let f(n) = 3*n. Let r(i) = 5*f(i) - 3*s(i). Suppose 0 = u + 3*u - 8, 0 = h + u - 4. Let w(a) = 3*a + h*a - 3*a. Give r(w(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) + sqrt(1872) + 1)*6 - -1*(sqrt(1872) + 0)) + -2)**2 + -2*((sqrt(117)*-2 - sqrt(117) - sqrt(117) - sqrt(117))**2*5 + -2*sqrt(117) + 4).\nAnswer: 1260*sqrt(13) + 287126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -26*o**2 + 2. Let j(d) = -27*d**2 + 2. Give 7*j(n) - 6*v(n).\nAnswer: -33*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/3166 + 11051\/94980. Let f = -2\/15 - d. Let w = -0.1 + -0.9. Which is the nearest to 2? (a) f (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -17*m - 18. Let c(b) = -6*b - 7. Let l(h) = -11*c(h) + 4*r(h). Let j(n) = -n**2 - 3*n - 3. Let u be j(-4). Is l(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-128)\/(-7) + (-10)\/35. Let x be ((-1948)\/s)\/(26 - -2). Let t = 36\/7 + x. Find the common denominator of t and 107\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436.3526 litres to millilitres.\nAnswer: 436352.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -45. Let n = 58 + b. What is the highest common factor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -105. Suppose 22 = s*p + 18. Let o be (254998 - -1)\/p + (-2)\/(-2). Round o to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1502*u + 162008. Determine g(-108).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.25 - 1.15. Which is the closest to m? (a) 3 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7266 - 5421 = 15*j. Calculate the remainder when j is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = -22*q + 1408 - 1552 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23\/9, -2\/7 in descending order.\nAnswer: 23\/9, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 831246.3 to the nearest 10000.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 288?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*t + 260*t = r + 9, 3*r = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*l - 571*l - 35 = -h, -2*l - 4*h = 22 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 2. Let t be w(2). Sort 3, t, -1, -5.\nAnswer: -5, -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**3 - j**2 + 10*j + 7. Let t(h) = 3*h**3 - h**2 + 7*h + 5. Suppose -9*i - 7 = -10*i. Suppose 2*v - 3 - i = 0. What is v*g(z) - 7*t(z)?\nAnswer: -z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - d - d - 2*d + 4*d + 0*d + (d - d - 2*d)*(2 - 4 + 0) - 2*d + 4*d - d + d + d - 3*d + 0*d - d + 2*d + d + 0*d - 2*d as p*d + w and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -792 - -791.9. What is the nearest to -2 in -2\/5, -3, -4\/5, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let s be 2*w\/(-6) - 0. What is the second smallest value in -2, s, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - sqrt(204)*-1)\/((sqrt(18) + sqrt(72)\/sqrt(4))\/sqrt(6))*3.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-48) + 6\/(-48). Let u = -9 + 29. What is the biggest value in u, i, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (248*j + 12*j - 28*j)*(-3*j - 6*j - 4*j).\nAnswer: -3016*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w - 14. Let a(c) = 11*c + 21. Let b(d) = -5*a(d) - 8*q(d). Let r = -13 + 18. List the prime factors of b(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -151?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (462\/(-56))\/((-6)\/(-16)) - -4. Let u(g) = 3*g**3 + 9*g**2 - 9*g. Let n(i) = i**2 - i. Suppose -2*y - 2 = -3*y. Calculate a*n(s) + y*u(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4211411 (base 5) to base 6.\nAnswer: 1254130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -817 + 5066. List the prime factors of x.\nAnswer: 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -30*p - 206*p**2 + 105*p**2 - 7*p + 103*p**2. Let q(o) = o**2 - o. Let x(g) = -a(g) + 5*q(g). Find the second derivative of x(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5510*x - 27625. What is y(5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1596 and 53\/1511412.\nAnswer: 1511412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -66970 times -1.7\nAnswer: 113849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (20 - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:13 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2193759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818117 is divided by 35570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 12. Let g be w(12). Let a be (-85)\/((-9)\/(-6)*(-4)\/g). What is a rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.065?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/26268 and 59\/83580?\nAnswer: 919380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -1*6) + 3. Suppose 0 = -q*k - 82 + 2. Is 26 a factor of (13*1)\/((-8)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/(-3) - (-3)\/9)\/1. Let p be (t + -13)*1*18\/(-1). What is the highest common divisor of p and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271637602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 2. Suppose -3*u + 58 = 19. Suppose 5 = 2*y + u. Give q(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4)*-4)\/(-1*sqrt(48)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2410*n**5 + 42*n**4 + 12953*n**2 - 2*n wrt n.\nAnswer: 144600*n**2 + 1008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -102 + 6*v - 99 + 393 - 97 - 102. Let q(w) = -7*w + 6. Let i(z) = 8*z - 7. Let m(x) = -6*i(x) - 7*q(x). What is m(l(g))?\nAnswer: 6*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941692 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60 + -1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/175)\/(3\/15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003050467 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 3. Let y be k(-5). Suppose y*t = 7*t - 15. What are the prime factors of (1\/2)\/(t\/288)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (254\/(-6))\/(((-12)\/(-54))\/((-108)\/(-81))*-2)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -27322?\nAnswer: 27316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/10 + m**4\/2 + 4*m**3\/3 - 12*m**2 - 1334*m. Solve h(d) = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3466 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141057 and 229236.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*k - 22 = 0, -4*b - 25*k + 32 = -21*k. Suppose 23*l - 136 = b*l. What is the remainder when 90 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -421882.064 + 422222.063899. Let l = a - 340. What is l rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r + 1. Let k(g) = -7*g**2 + 1 + 7*g - 3*g - 11*g + g**2. Let y(q) = k(q) + 3*x(q). Find c, given that y(c) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-309 + 2*k**2 + 3*k**3 + 156 + 151)*(-2*k**2 + 0*k**2 - 10*k**2) + 2*k**5 + 2*k**5 - 2*k**5.\nAnswer: -34*k**5 - 24*k**4 + 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 9 + 17)*((4*s - 4*s - s)*(1 - 2 + 0) - 3 + 3 + s)*(-421*s - 240*s - 162*s) in the form i + p*s**2 + x*s and give p.\nAnswer: 13168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 9:15 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002212 + 1?\nAnswer: 1002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**3 - g**2 + g + 2. Let r be v(2). Let t be ((-5)\/(r\/28))\/2. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.835067 to one dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21289 and 57.\nAnswer: -12.13473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 404223\/2*(728\/(-168) - (-7 - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -3 - (-14 + -22 + 24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 364942.6 kilometers?\nAnswer: 364942600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-2*b**2 + 2*b**2 - 2*b**2) + (2*b - b - 3*b)*(-2*b + 4 - 4) + 3*b**2 - 3*b**2 - b**2 + b**2 - 2*b**2 - 5*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.029 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12981*m**3 - 2883*m + 2383*m**4 + 12981*m**3 wrt m?\nAnswer: 28596*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7066097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*d - 25 = 0, 0*q - 2*d - 26 = -4*q. Suppose -2*x + 2 = 4*z, -4*z + 0 = -4*x - 8. Let f be ((-2)\/(-3))\/(z\/3). Solve f*h + 0*h + q = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867817 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + j + 1. Let p be q(-1). Let z(c) = -c**3 - 4*c**2 - 2*c + 3. Let h be z(-3). Put 8, h, p in decreasing order.\nAnswer: 8, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 612 + ((-10)\/25 - 0)*15. Let y = -603 + g. Let 0*i + 0 - 5\/2*i**5 + 5\/2*i**y + 15\/2*i**4 - 15\/2*i**2 = 0. What is i?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3867, -15390, -34537, -61260, -95511?\nAnswer: -137242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8)*1)\/(165\/(-88)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -383*f + 42906. Determine o(112).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4286211*b*p**3 - 3*b*p**2 - 10421962*p**2 wrt p.\nAnswer: 25717266*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*i + 108*i - i**4 - 211*i + 3*i**2 + 106 + 7*i**3 - 44 to s*i**2 + p*i + q*i**3 + w + u*i**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {s: 3, v: 17}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*n + 13, -2*o + 4*n + 10 = 9*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19881.721 take away 0.07?\nAnswer: -19881.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (0\/(-2) + -2). Let y be ((-195)\/(-9))\/(-5) - -4. Which is the closest to y? (a) k (b) 1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -1. Let h be 0\/(-1 + j) - -2. What is the second derivative of 2*s**2 - h*s**2 - 2*s**2 - s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1174*w - 15 + 2 + 0 + 10.\nAnswer: 1174*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttrttttttrtt. What is prob of sequence ttrt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 + 5*o - 3. Let x = 9 - 13. Is n(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*v - 1076 + 648. Let g = 0.01 - -0.59. Which is bigger: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*s - 35*s, s = -3*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let i(g) = -2. Let d be (-4 + 8)\/4*-1. Let y(m) = d*i(m) - 2*r(m). Let k(s) = -4*s. Give y(k(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 + 5745*u**2 - 1587930*u - 26898080 = 0. Calculate u.\nAnswer: -16, 527, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(2\/(-7) - 2\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43953875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2 and (-605)\/(-44)*(6 + (-3456)\/570).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 5:07 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = s + 5*d, 3*s + 4 = 4*d. Suppose 2*k = -s*k. Let b(y) = y**3 + y**2 + y + 2. Let x be b(k). Solve -2*w - 2 = -5*f, -x*w - w + 6 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 bigger than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(2\/7)\/x)))**(-5\/13))**33*x\/(x*x\/(x**(-2)*x)*x)*(x\/((x\/(x\/(x**(-2\/3)*x)*x))\/x))\/x*(x\/(x\/x**(-5\/3)))\/(x**0*x) assuming x is positive.\nAnswer: x**(-694\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 128, 250, 456, 746, 1120?\n\"Answer: 42*y**2 - 4*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose -i*p + 0 + 8 = 0. Suppose n - 4*q = 11304, 2*n + p*q - 20689 = 1907. Round n to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgthtgtttttththh. Give prob of picking 1 h, 1 t, and 1 g.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*f - 2)*(4 + 0 - 2) + 4*f - 3*f - 2*f - 21 - 14*f + 6*f + 10*f in the form r*f + o and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33628130.\nAnswer: 2, 5, 443, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-368)\/(-74) + (13 - 18) and 40\/66*(-25 - -19).\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 11*s - 4. Let h be r(7). Let p(w) = w**3 - 7*w**2 + 11*w - 14. Let k be p(6). What is the greatest common factor of k and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s - 13 + 24 + 2452*s**2 - 994*s**2 - 11.\nAnswer: 1458*s**2 - 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -23. Let d = t - -23. Let p be (0 - 3) + 1 + d. What is p rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 36. Let c = -101 - -111. Let n be j(c). Suppose -p - 4*l + 2499 = -n*l, 2*l + 12511 = 5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2042?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-320)\/(-180)*1\/(7*(-13)\/182).\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h + 3 = 0. Let f = 4 + h. Let k = 4 + f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and 21005.\nAnswer: 20995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, 0.\nAnswer: -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 3\/4, -2\/5, 0 in decreasing order.\nAnswer: 3\/4, 0.01, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**2\/7 - 209334*n\/7 + 2301464\/7.\nAnswer: 2*(n - 11)*(5*n - 104612)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202231435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/84 - (-2)\/(40\/(-65)). Let x(i) = 11*i**2 + 2*i. Let q(l) = -11*l**2 - 3*l + 1. What is v*x(f) - 2*q(f)?\nAnswer: -11*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/7)\/(((-1591876)\/(-22176))\/(-143) - (-40)\/72).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3040.3 to the nearest ten.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10, 0.7, 0, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76181*4491.\nAnswer: -342128871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15974753234.499956 + 15974714702. Let j = 38534.3 + y. Let q = 1.8 - j. What is q rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7508348.\nAnswer: 2, 1877087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/(-40)*(-125)\/50 - (-2714)\/302?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -24*o**2 - 2106*o + 10. What is w(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 67 - 89 = 0. Let x be (-4)\/q - 174\/624. What is the third smallest value in 0.3, -0.02, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*y + 4 = 0, -5*y - 3 = 2*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10532 is divided by 246.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(sqrt(405)\/sqrt(9)))\/(6*(sqrt(75) + sqrt(75) + 4*sqrt(75) + sqrt(75))))**2.\nAnswer: 11\/396900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m, 2*u - 2*m - 15 = 55. Calculate the remainder when 141 is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3735 + 4314. Are 1341\/7 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 0*m + 5*m - 2 - 6*m + 0*m. Determine r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(3) + sqrt(2))*-4 + -2*sqrt(2)*1)*-6.\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-4 - (-36)\/8). Let x be (b\/18)\/((-4)\/6). Let i(n) = -n**3 + 7*n**2 - 7*n + 4. Is 19 a factor of i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -b - 0*b + 2*n, -25 = 5*n. Let h be -3 - 1 - b\/(-1). Suppose -4*y - t + 281 = h, 3*y + 0*t - 197 = 2*t. List the prime factors of y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 h, and 1 m when four letters picked without replacement from {g: 3, a: 1, m: 1, h: 9}.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 165, -130, -543, -1074, -1723, -2490?\nAnswer: -3375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58, 278, 806, 1532, 2462, 3602?\n\"Answer: p**3 + 90*p**2 + 59*p - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + y - 8 = 0, i + 18 = 2*i + 3*y. Let f be (-5 - (-55)\/3) + (-4)\/i. Which is smaller: f or 13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 11 + 14. Calculate the highest common factor of u and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87718416.\nAnswer: 2, 3, 37, 49391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {o: 3, z: 17}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, -73, 0, -14 in decreasing order.\nAnswer: 28, 0, -1, -14, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.742763us in days?\nAnswer: 0.0000000000896153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t*t**8*(t*t**4)**(-21\/4))**(-22) assuming t is positive.\nAnswer: t**(1155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**3 + 180091 + 20*h**3 + 94793.\nAnswer: -6*h**3 + 274884","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36075 + 19083669\/529. Is 0 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 417\/130, 1187, 0.5 in increasing order.\nAnswer: 0.5, 417\/130, 1187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1821*d**3*f**2 + 427*d**3*f + 12904*d**3 - 71*d**2*f**2 - f**2 wrt f?\nAnswer: 3642*d**3 - 142*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 4. Let k(l) = l + 1. Let s(n) = 4*k(n) + z(n). Let d(r) = 25*r. Let o(q) = 12*q. Let x(c) = -6*d(c) + 13*o(c). What is s(x(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(363) + 1 - (-5 + 0 + sqrt(363))**2) + -4.\nAnswer: -388 + 121*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 + -36b?\nAnswer: -32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 12. Let d = u + 0. Let o = -0.16 - -5.16. Which is the closest to d? (a) 0 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utitziyuiuutuiuuuu. Give prob of sequence tyz.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2)\/(-18)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-5)*(-3200)\/9800)\/(9 + (-364)\/40).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421.7 + 422. Put 0.4, k, 4, 2\/13 in decreasing order.\nAnswer: 4, 0.4, k, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3510 (b) -4\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 7 + 13*m + 49 - 11.\nAnswer: 13*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 21280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/474 - -107\/790. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 27. Let o = 227\/4 + -56. Calculate the common denominator of o and 166\/d - 8\/(-24).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13224720 and 3085768.\nAnswer: 92573040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + h**2 + h + 8. Let s be 10\/4*(-48)\/(-40). Let i(m) = -m**3 - 2*m**2 - m - 7. Let u(d) = s*i(d) + 2*w(d). What is the units digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306857.\nAnswer: 306857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 - 6*b**2 + (5*b - 3*b - b)*(0 + 0 + 2*b) + (11 - 11 + 4*b)*(4*b - 1 + 1) + 3*b**2 + b**2 - 7*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**7)\/h)\/h*h\/(h*(h*h**(-9))\/h*h*h))**(-34)\/((h**(-3)\/(h\/(h*h**5)))\/((h**3\/h)\/(h*h**(2\/7)\/h))) assuming h is positive.\nAnswer: h**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559052?\nAnswer: 2, 3, 11, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 10*t**2 - 7*t - 5. What is w(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a - 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112 + 531 + 84 + 0*z**2 + z**2 to the form l + q*z**2 + t*z and give l.\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - 4320230?\nAnswer: -4320200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162651 is divided by 16264.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-15))\/(10\/125). Let h = 32 + c. Solve -5*w + 2*w - 3*n = -h, 16 = 3*w + 4*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(275))*1 + -4.\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttytttttyytttttttytt. What is prob of picking 1 t and 1 y?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 4*a**3 + 0*a**3)*(-2*a + 2*a + a**2) + a**2 + 5*a**5 - a**2 - 2*a**2 - 12570*a**3 + 40*a**5 + 12570*a**3.\nAnswer: 44*a**5 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4648\/20)\/(8\/20). Let s = 574 - d. Sort 3, -4, 5, s in decreasing order.\nAnswer: 5, 3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 9:31 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.196 take away 37256251?\nAnswer: -37256251.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 7*s**2 - 36*s + 61. Determine w(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12166 or 1260?\nAnswer: 12166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**3 - 6*p**3 - p**3)*(-p - 2*p + p) + (-p**3 + 2*p**3 - 3*p**3)*(-p + 0 + 0) to i*p + d*p**2 + h*p**4 + q + w*p**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-1800)\/(-175). Let f(h) = -h**2. Let m be f(-4). Let r = n - m. Let y(q) = -2*q + 5. Give y(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 9) to base 3.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 7, 4 in decreasing order.\nAnswer: 7, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 0 + 3 - 2 + (z - z - z)*(-4*z + z + 2*z) + 2*z**2 + 0 + 0 - 5*z**2 + 6*z - 6*z in the form w*z**2 + c*z + u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1573, 5, 1354, 0.3 in increasing order.\nAnswer: 0.1573, 0.3, 5, 1354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjhfrddfhdchr. What is prob of sequence drd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minus 78?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60733?\nAnswer: 60733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 7. Let o be t(3). Let w = o - 1. Let h be (2\/14)\/((-14)\/(-49)). What is the second smallest value in -1, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-35)*(-7 + -3). Let q = 2 + -10\/7. Factor -10\/7*r + q - 2\/7*r**3 + x*r**2.\nAnswer: -2*(r - 2)*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3041 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -50010643400 to the nearest one million.\nAnswer: -50011000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/8*4 - 23. Is 47 a factor of 16\/(-104) + (-2526)\/t + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + y + 2. Let q be h(0). What is the first derivative of 5*t**q + 23*t - 23*t - 6 + 1 wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 119. Solve -2*q = 4*q + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s**3 + 38*s**3 + s - s + 0*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.15 - 0.15. Let q = -93 + 92. Let w = y + q. Put w, -5, -1\/6 in decreasing order.\nAnswer: w, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.20269120559 - 807.\nAnswer: -812.20269120559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t - 30 = -48*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.242 - -1.31. Let l = 0.028 - b. What is the second biggest value in l, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 60, 69, 82?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/2 - 550*t - 301275\/2 = 0.\nAnswer: -585, -515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(56\/210 + 4\/10). Solve -5*o - 5*k = 20, -3*o + k - p = -2*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.4715ml in litres?\nAnswer: 0.4534715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.221, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21166227 is divided by 142?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 10*n - 16. Suppose -n*c + 4*w = 3*c - 2174, 3*c = 5*w + 1294. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 399, 1\/5, 5?\nAnswer: 399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - d + 13 = 0, 3*d = 5*n + 5*d + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3 - 587*y**2 - 584*y + 1172 = 0.\nAnswer: -586, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -14012979.\nAnswer: -2\/14012979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 51, 46, 29, -6, -65?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdk when three letters picked without replacement from {d: 2, z: 3, k: 6, y: 6, c: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (248 - 213) + (-7)\/((-7)\/(-2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(13 - 0))\/(4 + -8 + 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4646 at most 5157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -642*-0.3\nAnswer: 192.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 2*t + 2*t. Suppose -14*v = -12 - 30. Solve 0*u + 34 = -5*n + v*u, -4*n - t = -4*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -56, 9 in descending order.\nAnswer: 64, 9, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*m = -1522*m - 4473 - 38307 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -97 + 4?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.441126 minutes?\nAnswer: 26467560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + g. Let u(b) be the first derivative of -b**3 + 3*b**2 - 2*b + 10. Determine -5*p(o) + u(o).\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 130612\/141 greater than 925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 52 = a, 321*a - 2*u = 318*a + 156. Solve -311*n = -298*n + a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80657778 is divided by 2590?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in -3, -0.04774, -1\/3, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.272 * -78631.\nAnswer: -21387.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419*w**4 + 522 - 607*w**4 - 327 + 7*w**2 - 248 wrt w?\nAnswer: -24624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 883788 and 74.\nAnswer: 32700156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkj when three letters picked without replacement from {j: 17, k: 3}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 2*h + 2*h)*(h**2 + 4*h**2 - 4*h**2 + (-h + 3*h - 4*h)*(-h + 2*h - 4*h) - 155*h + 141*h**2 + 155*h).\nAnswer: 148*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpp when three letters picked without replacement from uuppaaapppahppuxp.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13722 - 576211\/42. Calculate the common denominator of k and -7\/82.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 3*n**2 + 1. Let i be f(2). Suppose -28*g + 7 = -29*g + 2*c, 2*g + 5*c = 49. Solve i*l - 13 - g = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3837361 - -5?\nAnswer: 3837366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1231\/4 + 314. Find the common denominator of z and 157\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 - p. Let w = 5 + 22. Let z be (9\/w)\/((-2)\/6). What is x(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Let v be -1*(j\/6 + -1). Which is the nearest to v? (a) 4 (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckk when three letters picked without replacement from {c: 3, k: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1093*l - 4. Let z(u) = -302757*u - 1109. Let b(n) = 1109*o(n) - 4*z(n). Let w(d) = d. Determine w(b(p)).\nAnswer: -1109*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-138)\/270 + (-2)\/(-5) and 4 + (-112)\/36 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1124*v**5 - 40*v**2 + 1696626*v?\nAnswer: 22480*v**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 23*i + 22*i + 9, 3*n - 18 = -2*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3639*x**5 - x - 3896.\nAnswer: -72780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*v - 7*v + 162, -g + 4*v = -38. Calculate the remainder when 62 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1282997776 and 3358?\nAnswer: 3358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b + 3*b + 3*b. Suppose 4*t - 60 = -20. Let x(q) = -t*q + 18*q + 3*q + 4*q. What is x(h(g))?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -589*y + 2240. What is the tens digit of v(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 2*p**2 - 2. Let c be k(1). Suppose -14 + 67 = c*z + 5*o, -z = -2*o - 10. What is the least common multiple of z and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 3. Put 4, k, 1 in ascending order.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (-169 + 169).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 0.18.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -11. Suppose -f*n + 12 + 188 = 0. Suppose g - 32 + 227 = 2*k, -g = 2*k - 205. What is the highest common divisor of k and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 444*n + 1149. Determine s(-3).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41422?\nAnswer: 2, 139, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*i - 2 = 4, -4*i = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 1\/30*u**5 + 0 - 31*u**2 + 0*u + 0*u**3 + 9\/40*u**6 + 0*u**4. Find the third derivative of x(w) wrt w.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 18. Let s be j(9). Let k = -0.04 + -0.96. What is the closest to s in 2\/5, 1\/7, k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -5, -8 in descending order.\nAnswer: 4, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + j - 50 = 0, -5*x = 331*j - 333*j + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -8. Let o = r - 6. Which is the smallest value? (a) -0.2 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + 2 + -8 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*u, -3*j - 8 + 2 = 3*u. Suppose -11 = -3*b + 1. Solve -x = -2*k + b*k, j*k = -2*x - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 1, n: 2, g: 1, u: 1, e: 1}. What is prob of sequence nqg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5*s*s**(-4))\/(s**0)**(-16\/9))**(7\/5) assuming s is positive.\nAnswer: s**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15768 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 736027\/5 - 147862. Let q = 659 + x. Determine f so that q*f**2 - 12\/5 + 3\/5*f - 3\/5*f**3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*d - 2045 = 71*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*x + 87*x + 3024 = -4450 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 3*i**2 - 4*i + 4. Let w be b(-4). Let d(f) be the first derivative of 1\/9*f**3 + 2\/3*f**2 - 1\/3*f - 2 - 1\/3*f**w. Find u, given that d(u) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504443 + 5?\nAnswer: 1504448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/11, -0.376, -0.12, 4, -0.2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.1, -490350?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.4 - -4.4. Let g = p + 70. Sort 4, -2\/11, 2, g in decreasing order.\nAnswer: g, 4, 2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 9.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (88 - 129) + -5\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/270 and -37\/16090.\nAnswer: 434430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-18*5\/(-10). Suppose 2*q + 4479990 = -4*c, 5*q - p = 16. What is c rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from nwgsxxgggwslxxx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x = 12*x + 56*x - 585 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -3\/20779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -111*k**4\/4 + k**3\/3 + k**2\/2 + k - 1. Let n be z(-1). Suppose -3*o + 4*m + n = -8, -5*o + 2*m + 186 = 0. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j + 16 = -37*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {s: 4, r: 2, b: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -566622 + 5?\nAnswer: -566616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2 and -121\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2 + 3*t**2 + 4*t**2 + 22 - 25 + 3*t. Suppose -3*i + 5*m - 5 = -4*i, -2*i + 4*m - 18 = 0. Is o(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/2*2\/4. Suppose 2*f = 14 + 2. Calculate the remainder when -1*2*o*7 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4 and (11 - -2)\/((-30)\/(-12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + 38. Let v = 1 - g. Let j = v + 197. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -805, -6357, -21427, -50773, -99153, -171325, -272047, -406077?\n\"Answer: -793*u**3 - u**2 + 2*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1292353478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {h: 1, n: 1, o: 1, e: 2, b: 2, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 272b9ad?\nAnswer: 272b9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -216511305 (base 7) in base 15?\nAnswer: -124a180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.134 in -1, 0.4, -15, 3, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6574.518 times 0.5\nAnswer: 3287.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t + 2*t**2 - 62 + 54 + 2*t - 10*t. Let y be p(7). Let w(a) = -a**3 - 6*a**2 + 7*a - 6. What is the units digit of w(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 20 = 3*f. Let z = 3 + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/110 and 19\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 64 + 40 = 0. Solve h - 24 = -5*z, -m*z + 29 = 5*h - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 11. Let m be t(1). Let u(k) = 10*k**2 + m*k**2 - 16*k**2. Let l(o) = -10*o. Determine u(l(h)).\nAnswer: 400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*c + 41*c. Let y(o) = -3*o**2 + 2*o + 5. Let w be y(c). Solve -9 + 1 = -2*f, -5*f = w*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -29030382?\nAnswer: 29030382.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 226 + 523456?\nAnswer: 524015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*sqrt(57)\/sqrt(3)*-5 - ((sqrt(114)\/sqrt(2) - sqrt(57))*3)\/(sqrt(3) - sqrt(30)\/(sqrt(10) - sqrt(40))))**2.\nAnswer: -200*sqrt(19) + 11891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251 and 44981961?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 2, 838.\nAnswer: -11, 1, 2, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {r: 1, d: 1, i: 2, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:18 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 140?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6*b**4)\/(b*((b\/b**5)\/b)\/b*b**(1\/8)\/b))**(-1\/20) assuming b is positive.\nAnswer: b**(-127\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/((sqrt(2) - (sqrt(6)\/sqrt(3) + sqrt(2))*-4) + sqrt(2)))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.093 * -6.\nAnswer: 12.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: e91c5 (base 16) to base 14\nAnswer: 1abd77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*sqrt(45).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 16 (c) 1 (d) 3 (e) -2\/7 (f) 3\/2 (g) -3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 3 = -12*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4393*w = -2181*w - 2189*w + 2783 for w.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 8:53 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7*v - 35. What is the remainder when 18 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t - 2 - 4 + 7 - 160*t.\nAnswer: -143*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*c - 2, -3*b + 2*c + 7 - 3 = 0. Sort 6, 3, b in ascending order.\nAnswer: b, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102376*h + 101966*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -3.3. Let k = 2 + f. Let b = k - -2. What is the third biggest value in b, 2, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-516)\/15 - 0)*-45*(-9)\/(-54). Solve 5*r - 20 = -s*m + 263*m, -r - 2 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 0.4 in descending order.\nAnswer: 2, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -61\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + 0.26. Let s be (-1081)\/5 - (-3)\/15. Let w be s\/990 + 2\/(-11). Is w less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2953 + 2952. Let d(m) = 3*m**2 + 5*m - 10. Let o(q) = q. What is r*d(a) + 4*o(a)?\nAnswer: -3*a**2 - a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 2*h - 4, l + 23 = -5*h + 10*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 5. Suppose -27*q = -25*q - 14. Let c(o) = -3*o - 9. What is q*m(v) - 4*c(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 9, f: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65105.87g to tonnes.\nAnswer: 0.06510587","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1197528 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**2*t**2 + 130*k**2*t + 149*k*t**2 - t**2 - 26 wrt t.\nAnswer: -10*k**2 + 298*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(2 - 10\/4). Suppose 4*f - q + 9 = n, 0 = -5*f + 3*f + 2*q - 6. Let w = 14 + f. What is the remainder when 35 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2573878 is divided by 77991?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*b**3 - 58*b**3 + 135*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/5 - 111*b**2\/5 + 2772*b\/5 = 0?\nAnswer: -132, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 0*p + 0*p**2 - 4\/3*p**3 + 11. Let m(a) = 7*a. Determine l(m(f)).\nAnswer: -196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3484 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42.1 + 42. Let y = 2\/7 + 0. Which is the nearest to -2? (a) v (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52575.12 kilometers in nanometers?\nAnswer: 52575120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -21877?\nAnswer: -21863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4826 divided by -4?\nAnswer: -2413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 + (-1071)\/(-117) - 576\/26. Suppose p = -10 - 16. Let s = w - p. Solve s*x - 2*x - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 10 = -4*o - 4*d, 0 = -4*o - 5*d - 17 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let i = 7.7 + -8. Let p = -97\/9 - -11. Which is the third biggest value? (a) i (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 equal to 0.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*t - 96. Suppose -5*w - t = -8. Is 14 a factor of (-3)\/w + (-54)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -62. Let m = h - 111. Let x = 17 - m. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125065009\/380 - -329118. Let n = 243\/38 + x. Calculate the common denominator of n and 75\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-12))\/(496\/(-1116))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 38*d - 212 - 130 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 + 7 + -9 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**2\/2 - 8*h + 2. Let d be i(6). Is (-12)\/(-6)*(-489)\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26714 is divided by 1796.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68427*x**3 - 636*x**2 + 266*x - 88091 wrt x?\nAnswer: 410562*x - 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = -b, 5*b - 2*g = -0*g + 5. Suppose 3*z - 18 = 3*u, -u - b*z = -2*z + 2. Let t = -0.2 + -0.8. What is the closest to t in -2\/7, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1337*b**5 + 8*b + 7 wrt b?\nAnswer: -26740*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203*z**2 + 252*z**2 - 372*z**2)*(2 - 2 - 4*z**3).\nAnswer: 1292*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.6 - -9. Let n = 0.6 + h. Let l = -39\/28 - -8\/7. Which is the biggest value? (a) -2\/5 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from kklllkkklk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -85 + 46 + 28*k - k**2 - 7. Let h be w(14). What is the highest common divisor of h and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 4. Let h be a(4). Let u(j) be the first derivative of h*j + 3 + 2\/3*j**3 - j**2. Factor u(l).\nAnswer: 2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -233*l + 460*l**4 + 233*l + (0 + 0 - 2)*(-18*l**4 + 67*l**3 - 67*l**3).\nAnswer: 496*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2. Let v(k) = 2*k**2 + 4*k. What is v(s(p))?\nAnswer: 8*p**4 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 178483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmjll.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1755.7 - -1755.7. Put -1.7, q, -0.1, 1, 5 in descending order.\nAnswer: 5, 1, q, -0.1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o**2 + 1437*o - 161. Calculate m(120).\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n - 5. Let a(k) = k**3 - 2*k**2 - 3*k - 2. Let v(g) = -3*g**2 - 2*g**2 - g - g**2 + 5*g**2. Give n*a(f) - 3*v(f).\nAnswer: f**3 + f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 38, 46, 56, 68, 82?\n\"Answer: w**2 + 3*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82716.\nAnswer: 2, 3, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 27222*s - 163329. What is q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 125 + 49d6?\nAnswer: 4b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -81, 10, 0.\nAnswer: -81, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 12. Let k be 87\/o - 1\/5. Let s(w) = w**3 - 27 + w - 2*w**3 - 6*w**2 + 37 + 0*w**3 - 15. Give s(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2 (c) 2 (d) -4 (e) -0.5 (f) -73.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63)\/(-42)*11044\/6. Let b = -1866 + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337.06937 + 0.03063. Let p = w - 337. Which is the third biggest value? (a) -1 (b) p (c) 13 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4965 = -39*t - 597. Calculate the remainder when t is divided by 76.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -33. Solve -3*t - 6 = -3*o + 18, b*t = -o - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 0*d + 0*d)*(0 + 1 - 3) + 8*d - d**3 - 8*d - 3*d + d - 1 + d**3 - 15*d**3.\nAnswer: -11*d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/13 + 178*b**3\/13 - 1558*b**2\/13 - 1738*b\/13 = 0. What is b?\nAnswer: -1, 0, 11, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -33506*o - 266. Is 16 a factor of x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653201 is divided by 5264?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*z - 30 = 0, 30 = -0*c + 5*c + 5*z. Sort -3, 4, c.\nAnswer: -3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1334 and 77\/1058?\nAnswer: 30682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2766099 is divided by 6202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 3:29 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t - 7. What is d(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*z**2 + 11*z**2 - z**4 + (0*z + z + 0*z + 3*z - 2*z + 0*z + (-2*z + 0*z + 0*z)*(2 - 4 + 0) + 2*z - 1 + 1 + z + 4*z - 3*z)*(z**3 - 4*z**3 + 5*z**3).\nAnswer: 19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 12*a + 3 + 26*a)*(a + a**2 - a).\nAnswer: 17*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**6\/10 - 3*l**5\/20 + 22*l. Find j, given that t(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 696 + -696. Solve -2 = -4*j - 2*u, 3*u + u - 20 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(15\/5985*19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-9 + 0)*29\/(-957) + 3.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0 + 2 - 3*n**2 + 2*n**2 + 5*n + 4. Does 2 divide h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(1008) + 0 + 4)**2 + -1.\nAnswer: 192*sqrt(7) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-2)\/14*(-29)\/58.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -1 + sqrt(153) + sqrt(153))*2*-5)**2*-3.\nAnswer: -413400 + 5400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -2\/3 (b) -2\/33 (c) -3\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2*x**3 - 83*m**2*x**2 + m**2 - 4*m*x**2 - 296*m*x - 320*x**5 + 80*x**3 + x**2 wrt x?\nAnswer: -6*m**2 - 19200*x**2 + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -469*t**2 - 27*t + 9. Let x(i) = 156*i**2 + 8*i - 3. Let q(o) = 4*g(o) + 11*x(o). What is the second derivative of q(p) wrt p?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -96 and -1913.\nAnswer: -2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 1:05 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*((sqrt(1100) + 1*sqrt(1100) + -1 - sqrt(1100)) + 3))**2*1.\nAnswer: 1440*sqrt(11) + 39740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 7*f**4\/2 + f**3\/3 - f**2\/2 + 5*f + 45. What are the prime factors of j(3)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -227833300 to the nearest one million.\nAnswer: -228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29448.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 10574 + 47804. Let m be (d\/9248)\/((-14)\/(-8)). Let r = m - -1\/119. Find the common denominator of r and -73\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 + 5*l**2 - l + 14. List the prime factors of q(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-335)\/(-402)*6\/(-10)*39\/((-234)\/96).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(1\/2)))\/i*i*i*i*i**(-4\/13)*i)**(-13)*(i**9\/i**(2\/23))**(-17) assuming i is positive.\nAnswer: i**(-8879\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 4:12 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 28*y**2 - 5*y - 1. List the prime factors of d(5).\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3) - 0)*-21. Differentiate 7*j**2 + 5 + 3*j**4 - 8*j**4 - u*j**2 wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 6\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 173120261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -197677 (base 13) in base 16?\nAnswer: -9d6e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*b = -m - 15, -4*b = -2*m - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -3\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94104 and 20912.\nAnswer: 188208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l - 41 + 41 to the form s*l + v and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*k**3 + 27*k**3 - k**4)*(-411*k + 952*k - 190*k + 816*k + 1170*k).\nAnswer: -2337*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161.75 + -182. Let o = z + 20. Let v = o - -0.35. Which is the third smallest value? (a) v (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*j**3*m + 3*h**3*j**3 - 33*h**3*m**2 - 4*h**2*j*m**2 - 8*h**2*j*m - 3*j**3 wrt h.\nAnswer: 12*j**3*m + 18*j**3 - 198*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*h**3 - 4268*h + 302810 wrt h?\nAnswer: 24*h**2 - 4268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -17*j - 3*j. What is the remainder when ((-5)\/j)\/((-3)\/(-174)) is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 8*w - 1. Let l be b(-6). Let x = l - 5. Suppose -j = 2*m - 131, 0 = j + 3*j + 4. Calculate the greatest common divisor of m and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d - 410 = 4*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -2. Let z be ((-16)\/6)\/((-6)\/h). Solve m + 0 = -z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (38 - -10)\/(-2)*1\/(-2). Is 16 a factor of (325\/(-10))\/((-2)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/1080)\/(16\/216).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**11\/((y*y\/y**(-2\/3)*y)\/y*y))\/(((y*(y\/(y**(-5\/7)\/y))\/y)\/y)\/y**19))**(-1\/26) assuming y is positive.\nAnswer: y**(-517\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**3 + 15*a**3 - 36*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -2089104 (c) -5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {s: 1, m: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 10*h + 14. Let y be c(11). Suppose 12 = -y*j - j. Let f be ((j - (-2 + -2)) + 1)\/1. Solve g + 12 = -f*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1851 or 1888?\nAnswer: 1851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - g**3 + g**2 + 5*g + 6 - 3 + 0. Let o be 4\/(-14) + (-44)\/(-7). Let w be l(o). Is w not equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*m - 8*m + 2195*m**2 + 361894*m**5 - 361554*m**5 + 6*m**4 wrt m?\nAnswer: 20400*m**2 + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3 + 3)*((1 + 2 - 1)*(h - h - 2*h) + 330 - 330 - 34*h - 4*h + 2*h - 5*h).\nAnswer: 135*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4705 + 4?\nAnswer: -4701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21*114\/17955)\/(2\/5). Let l = 330 + -230. What is the second biggest value in r, l, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 18*g**2. Let t(y) = 140*y. Determine t(i(d)).\nAnswer: 2520*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -7079055.\nAnswer: -7079055.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afegffgf. Give prob of sequence af.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*d - 7792 + 15316 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.25 + 0.75. Let b be (-18 - -20)\/(-2*1)*2. Let n be 4\/(1\/(b - (-15)\/9)). Sort p, n, 4.\nAnswer: n, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11)*-2 + sqrt(11) + 3 + sqrt(11)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**(1\/14)*j**(-21\/5)\/(j\/j**(2\/3)) assuming j is positive.\nAnswer: j**(-3823\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5774876ug in tonnes?\nAnswer: 0.0000000000005774876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12785864 and 132496.\nAnswer: 25571728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16507b (base 16) to base 3.\nAnswer: 2202022000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 3\/(-5) + (-294)\/(-15). What is the units digit of 41*(k\/9 - (-6)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 11 + -24 + -5 + -3 + -9.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -23904, -124, 20 in ascending order.\nAnswer: -23904, -124, -5, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -13.\nAnswer: 76\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2*d = -165890, 163*q - 168*q + d + 138231 = 0. Is q a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 171*q**2 - 9199*q - 435. Calculate p(214).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 18 = 28*o. Factor -3 + 3*z**o + z**3 + 12*z - 27*z + 14*z.\nAnswer: (z - 1)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.53 - 0.03. Let f = 0.7 - o. Which is the closest to 0.1? (a) f (b) 0.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1601*l + 16316*l - 971190 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-4023)\/(-4). Suppose -20*v + 24*v - 2447 + 983 = 0. Suppose v = 7*y - k. Does 28 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**3 + y - 25?\nAnswer: -3*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/207432 and 13\/216.\nAnswer: 622296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:46 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 26*k - 3. Let a be d(25). Which is smaller: 23 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.5025 or 1\/6338?\nAnswer: -2.5025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.21325358 + -3.213. Round d to 6 dps.\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y + 27. Let w be j(-7). Let z be 42\/28*(w - -3). Suppose 3*h - 3 = 0, m + 5*h = -z*m + 417. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 9*s**4\/4 + 2*s**3\/3 + s**2\/2 - 2*s + 8. Calculate the remainder when 29 is divided by v(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**2 - 10*n**2 + n**3)*(2 + 3 + 0)*(-5 - 2*n**2 + 5).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(15\/(-12)) - (-40)\/8. Does -3\/44 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2.3\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -82. Let g(u) = 13*u - 1. Let d be g(1). Let x = j + d. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42416512 and 4864?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4994 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(2*sqrt(300))**2.\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1957323.01 - 126.3111.\nAnswer: -1957449.3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*y - 82*y - 42*y + 43 - 34*y - 43.\nAnswer: -87*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -84, 3, 2\/11, -0.07 in descending order.\nAnswer: 4, 3, 2\/11, -0.07, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine thirds of a hour?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3\/2, -0.66, -0.1 in descending order.\nAnswer: 5, 2, 3\/2, -0.1, -0.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8046 = -5*m - 3, -5*b = -5. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 15, 4*t - 202 = 5*z - 157 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 2*h**2 + 6*h**2)*(-2*h + 4*h - 4*h) + 0*h**3 + 3*h**3 - 5*h**3 + 3*h**3 - h**3 - 3*h**3 + (-2*h + 4*h + 0*h)*(2*h**2 + 0 + 0).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10.533*-2\nAnswer: -21.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2\/13, 4, 1, 1.4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 1\/5 (c) -0.1 (d) 0 (e) -2\/485 (f) -0.5 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 19773*b**3 - 19775*b**3 - 4*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afffawrfp. Give prob of sequence aw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*v - 9806 = -x, 4*v - 8 = 0. Suppose -810 = -16*h + x. Is 34 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -124?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*s**2 + 647*c**2 + 2*c*s**2 + 36*c*s wrt s?\nAnswer: 2*c**2*s + 4*c*s + 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 37*y + 4035. Let s be h(-103). Solve 21*o + 350 = s for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-10) + 368\/10. Let y be -16 - 2*(-1)\/2. Let z = i + y. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -72*x**2. Let z(y) = y. Give z(c(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36789230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*p + 2, -4 = 3*p + 8. Let u be l\/(-55) + ((-800)\/(-22))\/2. Which is greater: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(-23)\/((-690)\/(-9))*(-20)\/(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3416 is divided by 227.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59461, -118911, -178361, -237811, -297261, -356711?\n\"Answer: -59450*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1)\/2*8\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 46 = 7*o. Solve 0 = -8*j + o*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13061, 51704, 116099, 206246, 322145?\nAnswer: 463796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1312 - -7763\/6. Let z = 30295\/14 + -2165. What is the common denominator of z and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.881 - -0.551. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j**5 + 1872*j**4 + 156*j**3 - 22328*j**2 + 42684*j - 23184 = 0. Calculate j.\nAnswer: -4, 7\/5, 3\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 15*m. Solve m = 10*v - 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -729?\nAnswer: -72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 - -22?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 2. Let l be 138\/(-24) - 2\/8. Calculate the remainder when r(l) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416 = -10*d + 22*d + 40*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-17*(-440)\/68).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-325008)\/(-3330)*5\/8\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8*v - 12 = 4*v, -3*s = 4*v - 14. Solve -3*x + s*x = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21290254501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.1. Let s = 0.3 - 0.2. Let x = w - s. Which is the closest to x? (a) 3 (b) -2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6508?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**2 + 17*t**2 + 1471*t**3 + 9*t**2.\nAnswer: 1471*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 3*s**2 - 2*s + 6. Calculate m(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 8*v - 9. Let g be n(-5). Let c = 396 + g. Calculate the remainder when c is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/2, -61, 20\/9, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51 and -408.56?\nAnswer: 357.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-212 + 212 + 16*w**2)*((3*w + 3*w - 5*w)*(0 + 1 + 1) + w - 2*w + 2*w) as a*w + o*w**3 + j*w**2 + c and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((100\/(-105))\/10)\/(988\/364)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/6 - w**3\/2 - w**2\/2 - 20*w. Let c be m(3). Let x = 61 - c. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -19. Suppose 7*i + 175 = a*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + p + 0*p)*(14*p + 7*p - 20*p - 5) to q*p**2 + d*p + g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.38 and 8275312.\nAnswer: -3144618.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 254 + -305. Let g = m + 63. Calculate the remainder when 93 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*u**3 + 9*u**2 - 9*u**2 + (-2*u + 0*u + 3*u + (2*u - 2*u - 2*u)*(0 + 3 - 5))*(-2943 - 57*u**2 + 2942 - 3*u**2).\nAnswer: -169*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 0.9 (b) 2\/21 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3730, -3636, -3542?\n\"Answer: 94*d - 3824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**6\/75 + 2*u**5\/25 - u**4\/15 - 4*u**3\/5 + 9*u**2\/5 + 4*u. Solve o(h) = 0 for h.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1652198 and 1850?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-328)\/11685 - 10\/(-75)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 66352.\nAnswer: 597168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 - 168. Let s be 6\/(-4)*32\/(-6). Suppose -4 + s = f. Solve 2 + d = -f*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.02 (b) -13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose 2*p + 4*z = -28, -5*p - z - c*z = 35. Suppose -5*r = 2*y + 11, 0 = 3*y - 6 - 0. Is r greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4458121702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 7*y**2 - 5*y. What is the units digit of c(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*r + 125*r - 5766 = 117*r for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let t be -1*(-399)\/2052*(-3)\/28. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -288582667?\nAnswer: 288582671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1563, -1565, -1577, -1605, -1655, -1733, -1845, -1997?\n\"Answer: -y**3 + y**2 + 2*y - 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, u: 9}. Give prob of picking 1 h and 2 u.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 8. Let z be b(-6). Let g be z\/6*4\/6. Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*d**3 - 40*d**3 + 36462*d - 36462*d.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/1)\/(15\/(-4)). Let a = 1.6 - 1.2. What is the third smallest value in a, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55440 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28577 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(20\/(-144))*1. Does 17 divide 1215\/b - 2\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2559 divided by 1.\nAnswer: -2559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5 = -2*d + 3, -y - 5 = 5*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64993907 is divided by 422.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 47517218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (4 + (3 - 8)) - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 144*p**2 + 45875*p + 2623. Give t(154).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = 0. Suppose 0*l + l = -u, b = u - l - 6. Solve -5*f + f + v = 3, 5*f + 25 = -u*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lioi when four letters picked without replacement from ioloiiiiiooiilioiii?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 0 + 0*c**3 - 1\/5*c**4 + 4\/5*c**2.\nAnswer: -c**2*(c - 2)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n**2 + 173*n + 32. Let x be r(-10). Solve 4*a - q - x*q = 11, -15 = -5*a + 4*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 229. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 5*x**2 - 6*x + 2. Let o be r(6). Let s be ((-12)\/(-18))\/(o\/12). Solve p + 2*p = 3*i - 3, -3*p + s = 4*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 28*g - 15*g**3 + 5*g**3 + 3*g**3 to s*g + y*g**3 + l + v*g**2 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 + -0.07. Let q = h + 0.1. Which is the nearest to 1? (a) -2\/3 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + 7033 - 7033 + 111*m**2 to l + c*m**2 + h*m**3 + n*m and give c.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 57 = 168. Let m be ((-198)\/d)\/((-2)\/5). Solve -2*l + 3*l = -3*v - m, -2*v - 9 = -l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30b58 (base 13) to base 7.\nAnswer: 513303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 3*l**2 + 5*l. Let n be g(-4). Let w = 8.3 - 6.3. What is the closest to 1 in 4, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(168)\/sqrt(4))\/(5*sqrt(6)*3)*-3.\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + 13.45. Let u = 14.4 - w. What is the fourth biggest value in u, -0.3, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2758?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2*j - 100 + 2*j - j.\nAnswer: -j - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -1 - (363 - 353)) + -51.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s + 64. Let h(r) = r - 16. Let c(n) = -9*h(n) - 2*m(n). Let f be c(-11). Solve -f*z - 7 = 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, z: 2, k: 1, s: 1, o: 1, d: 4}. Give prob of picking 2 d, 1 z, and 1 s.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -760*z - 1058 with respect to z.\nAnswer: -760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:08 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 6*k**2 - 6*k. Let i be r(4). Let m be i\/6*2 + -2. Let l = 0 + 4. What is the nearest to m in 2, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201*p**2 + 49*p**2 - 710*p**3 - 31*p**2 + 322*p**2 wrt p.\nAnswer: -4260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/451 or -1?\nAnswer: 1\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308 + -1. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 15 = -5*b, 2*p - 5*b + 15 = 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/3))**18\/(q**0*q*q*q)**(-44))\/(((q\/(q\/q**(2\/7)))\/q)\/(q*q**3\/q)*((q\/((q\/(q\/(q\/(q\/q**(-1)*q))))\/q))\/q)\/q**0) assuming q is positive.\nAnswer: q**(1139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/40 - (-54)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/7 and 71\/9603?\nAnswer: 67221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228237862 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/12 - n**3\/3 - 5*n**2\/2 + 25*n. Let g(u) = -u**2 - 6*u - 2. Calculate the least common multiple of f(4) and g(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -175. Let u(v) = v**3 - 6*v**2 - 6*v - 6. Let t be u(7). Sort -2\/17, t, h, 0.4 in descending order.\nAnswer: t, 0.4, -2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 1. Let x be k(0). Let v be x + 4\/3 + -3. Which is greater: -3\/5 or v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmrmm. What is prob of picking 2 m and 1 r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1) + (-12)\/(-1). Let o = 283 - 68. Let j be 81\/18 - 4 - o\/(-2). What is the greatest common divisor of j and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 2*t**2. Let n(z) = 286*z**3 - 312*z**2. Give 156*b(c) + n(c).\nAnswer: 130*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - -1.95. Let l = 2.4 - m. Let s = 71\/44 + -26\/11. Which is the biggest value? (a) s (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, -141, 2, 11, 0 in decreasing order.\nAnswer: 11, 6, 2, 0, -8, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250576 (base 10) in base 16?\nAnswer: 3d2d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24156 is divided by 12066?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 139, 266, 393, 520?\n\"Answer: 127*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {s: 1, a: 1, y: 1, i: 1, b: 1, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -38 (c) -0.2 (d) 2\/7 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 5*v - 1 + v + v**2. What are the prime factors of h(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 29. Let q be 1\/(-3) - (-32)\/6. Suppose q*f - 10 = u. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0692 - 0.4692. What is the smallest value in v, -4, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -678 in -6, -2\/15, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1. Let i(r) = -5*r. Suppose 2*b + 5 = -m, -11*b - 4*m = -12*b + 11. Give b*i(o) - 2*v(o).\nAnswer: 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -15*i + 108. Does 63 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.50734197 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 11*f + 15. Calculate g(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 1 (c) -129 (d) -11 (e) -5 (f) -1.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**2 + 12*t**2 - 3*t**2 - 1 - 7*t. Let s be q(5). Let x = s - -33. Calculate the least common multiple of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3832570 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*s**2 - 4 + 8 + 10 + s**3 + 15.\nAnswer: s**3 + 579*s**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s - s**2 - 5\/12*s**4 + 0*s**3 + 0. Let m(f) = 8*f. What is l(m(y))?\nAnswer: -80*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = i. Is 1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*g + 72*g - 131*g = 79*g + 27244 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {l: 1, o: 2, k: 2, j: 2, v: 3, d: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, u: 2, j: 2}. What is prob of picking 2 q?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15540260 (base 9) to base 8\nAnswer: -35467727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2828650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4477.8 and 222.\nAnswer: -994071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:16 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -21*t + 14. Let j(u) = u**3 - 16*u + 45. Let c(l) = -15*l + 46. Let d(h) = t*j(h) - 3*c(h). Differentiate d(i) wrt i.\nAnswer: 6*i**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 768, 773, 778, 783, 788?\n\"Answer: 5*r + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 2.7 (b) 0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -120, -220, -308, -354, -328?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -s + 26. Suppose -3*r = r - s*r. Suppose w + d = 3*d + 80, r = 3*w - 3*d - 240. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4514 - -257. List the prime factors of i.\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/30 - 3\/(-30)*38. Let h be ((-4)\/(-10))\/((-1)\/(-10)). Suppose -161 = -5*k - f, g*k - h*f - 181 = -k. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49364340437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*(-128)\/80. Put 2\/3, v, 0.08 in ascending order.\nAnswer: v, 0.08, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1260 = -r. Suppose -2*l - 150 = r. What is the units digit of -3 + l\/(-2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34788 is divided by 93?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:21 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692494917?\nAnswer: 3, 7393, 31223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + 1 + -6*(1*sqrt(2057) + -4) + -2)**2)*-6.\nAnswer: -446982 + 16632*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208711 and 1017?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 20. Calculate s(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8 + 61 = 4*i, -5*d + 2*i = 101. Let l be (-2)\/(-2)*(d - 0). Let y = l - -16. Sort -1, 1, y in descending order.\nAnswer: 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91810 = -13*v + 6*v + 61147. List the prime factors of v.\nAnswer: 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (140\/(-112))\/(-4 + 68\/16). Let i = 204.4 - 204. What is the third biggest value in i, -1, r, 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548005 by -1.\nAnswer: 548005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 881, 1989, 3543?\nAnswer: 5543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000235365 rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 192, -103, -868, -2259, -4432?\nAnswer: -7543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 4136303?\nAnswer: 4136311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90361?\nAnswer: 109, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137179098 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p**2 + 7*p + 7. Let r be z(-1). What is the units digit of 13013\/52 + r\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -15. Suppose 0 = 5*x + i - 15, 0*x + 2*x - 33 = j*i. Suppose -2*p + 2*t + 214 = 0, 0 = -x*p - 2*t + 617 - 195. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 8*j**2 + 6*j - 8. Let w be m(4). Suppose 5 = 7*k - w. Suppose -2*b + 0 = -2. Solve b = -2*c + k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*17\/(340\/210)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17010 and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2. Let f(t) be the third derivative of t**8\/1440 + 13*t**5\/30 + t**2 + 9*t. Let u(c) be the third derivative of f(c). What is u(m(b))?\nAnswer: 224*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose k = 3*u + 26 - 131. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 919 divide 28368299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2. Let g(z) be the second derivative of -8*z**5\/15 + 38*z**2 + 2*z - 4. Let o(s) be the first derivative of g(s). Calculate o(w(y)).\nAnswer: -288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574.442mm in nanometers?\nAnswer: 1574442000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 4*w**2 - w**2 + 4*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 20*u + 51. Let p be s(15). Suppose -404 = -3*w + 5*x + p, -w - x + 265 = 0. What are the prime factors of w?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 47*n**2 - 5*n - 511. What is t(24)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p + 1. Let o(z) = 4*z. Let v(j) = 5*o(j) - 2*s(j). Calculate v(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63729148 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63238530, -63238529, -63238526, -63238521, -63238514, -63238505, -63238494?\nAnswer: -63238481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1.3 (b) 1\/5 (c) 4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 35 = -2*m + 43, 0 = 2*m + d - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10930284187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/8720 and 1544\/(-224) - 3\/(-12) - (-15)\/15.\nAnswer: 61040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -821. Let g = -762.9999206 - w. What is g rounded to 6 decimal places?\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 - w**3 + 2*w**3 + (-9*w + 7*w - 3*w)*(-14*w + 12*w - 25*w)*(0*w - 2*w + w) + w**3 + w**3 + 0*w**3 as j*w**2 + a*w**3 + m + f*w and give a.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -34*(-23)\/(-2346) + (-236)\/(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47115 and 999.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 1\/40*q**5 + 1 + 5\/24*q**4 + 6*q - 5\/4*q**2 - 1\/12*q**3. Factor c(y).\nAnswer: (y - 1)*(y + 1)*(y + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3094500 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2*d**3\/9 + 566*d**2\/3 + 160178*d\/3 - 3162. Factor i(n).\nAnswer: 2*(n + 283)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 3*v**2 + 5*v + 15. Let y be 0 + -2 + 2 - 3. Let u be b(y). Suppose -22*t + 26*t - 180 = u. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -71*(-1 + 2\/(-2)). Suppose -5*i - u + 552 = 0. Suppose -7*s + 2*s + b = -i, 25 = 2*s - 3*b. Calculate the remainder when 66 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 - 2*w**3 + 5*w**3)*(-12 + 12 + 62*w)*(-2*w - w + 4*w).\nAnswer: -62*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -163. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 5)*(0*b + 2*b + 0*b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -232*p + 160. Let q(y) = 402*y**2. What is w(q(r))?\nAnswer: -93264*r**2 + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 108586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41422978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 + 41*b - 14. Give c(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.06 (b) 0.5 (c) 6\/109 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a millimeter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 + 37 = 36*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 16*n + 8. What is h(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 = 2*j - 22, -4*j + 45 = w. Let m(r) = r**2 + 6*r + 9. Let k be m(-8). Let l = k - 22. Solve j = -5*d - l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122646.16171 + 122642. Let y = s - -4.16. Round y to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 155, 146, 123, 80, 11, -90, -229, -412?\n\"Answer: -i**3 - i**2 + i + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -5, -4.16, -0.4?\nAnswer: -4.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 191148 = 24*s + 5*s. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 - 64*g**2 - 116*g + 28. Let z be x(23). Suppose 0 = 4*u + u - 20. Solve -z*o = -3*h - 0*h - 9, 7 = 5*o - u*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i**3 - 8*i**2 - 12*i - 2. Let l(w) = 19*w**3 + 20*w**2 + 25*w + 5. Give -2*l(q) - 5*y(q).\nAnswer: 7*q**3 + 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20675 and 51417071.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0\/(j*j*j**3\/j)*j\/(j*j**7\/j)*j**(-4\/7)\/j*j*(j\/j**(-5)*j**(3\/5))\/((j**(3\/5)\/j)\/(j*j**(1\/5))) assuming j is positive.\nAnswer: j**(-83\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/8 + 5*q**3\/4 + 2325*q**2\/8 - 1175*q\/4 - 583 = 0.\nAnswer: -44, -1, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229 is divided by 514?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:53 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 7*s - 4. Let z be a(-5). Suppose -p = p + z. Let g = 0 - p. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*p - 268. Let n = 97 - p. Suppose 2*k - 6*k = -n. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35349, 35347, 35345, 35343, 35341?\n\"Answer: -2*n + 35351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(224) - ((sqrt(224) - 3*sqrt(224))*-2 - sqrt(224))))\/(3*sqrt(3388)).\nAnswer: -20*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/((-4)\/20)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 438c4 (base 15) to base 11\nAnswer: 13726a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 2 + 0 + v**2 + 1 to f*v**2 + z + p*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:01 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/13 or 3815\/362?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 6*s - 3. Let k be h(-5). Suppose -i + 4 = -k. Solve 15 = -3*v - u, -3*v - 5*u = i + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1448*d + 54 - 406*d - 88 + 34 to x*d + w and give x.\nAnswer: -1854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 5854275*r**2 - 1713787770000*r + 94240619000000.\nAnswer: -5*(r - 585400)**2*(r - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0 + 12. Let m(o) = -j*o + 3*o**2 + 3 - 21 + 0. Let x be m(-7). What is the highest common divisor of x and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1177000 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -6378\nAnswer: -1\/3189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (17 - 8) - -17\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c - 48. Suppose -c*m = -9*m - 6. Let x(a) = 2 + a**m - 3 + 2 + 3*a + 2. What is x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 5. Suppose 3*v - 49 = -8*q, -4*v + 8*v - 37 = -5*q. Let m(x) = 3*x - 4. Calculate v*m(n) - 2*k(n).\nAnswer: 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-4 + 4)*-1. Suppose k + q + 0 - j = 0, 20 = 2*k - 4*q. Solve k = 3*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 y, and 1 i when four letters picked without replacement from {f: 3, w: 1, y: 1, n: 3, i: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1342163*l - 4. Let v be p(7). Suppose -3*h - v = 22194863. What is h rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*i**3*n**3 + i**3*n - 2*i**2*n**3 - 2*i**2*n**2 - 538*i**2*n - 8*i*n**3 - 3*n**3 + n wrt n.\nAnswer: 420*i**3 - 12*i**2 - 48*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1.444 (c) -1 (d) 0.4 (e) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9))**(-12\/13)*(y\/y**8)\/y**(-8\/9) assuming y is positive.\nAnswer: y**(257\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2\/(-6*(-11)\/68376)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 22 + 18 - 42 + 2*z - 6*z**3. Let v be f(2). Let j = v - -40. Solve 0 = -y + k - 4, -4*y + j*k - 7 = 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99, 199, 299, 399?\n\"Answer: 100*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1572*p - 1030*p - 516*p + 2312*p)*(-3*p**2 - 9*p + 9*p - 1).\nAnswer: -7014*p**3 - 2338*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-116)\/(-12) - 9 - 144698\/12*4. What is z rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(132)*-1 + sqrt(132))\/(sqrt(12)*1*-4) - (2*(-4 + 2 + sqrt(11)*2 + 5))**2.\nAnswer: -211 - 191*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(-1*(sqrt(11) + sqrt(99))))\/(-4*(sqrt(5) - (1*sqrt(5) + sqrt(5)))*-6).\nAnswer: sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 437 + -438. Let l be v*-5*6\/(-15) - -4. Which is the biggest value? (a) -8 (b) 5\/2 (c) -0.4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 0 + -1 + 2. Let p = -245870 + 245859. Sort -2, 5, p, g.\nAnswer: p, -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -5*j**4\/2 + 2*j**2 + 2*j - 26. What are the prime factors of m(-3)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 513.45 - 11.45. Let b = 510 - q. Let l = -82\/5 - -17. What is the second biggest value in b, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/(-112)*(-1)\/3*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2199111813, -2199111812, -2199111811?\nAnswer: -2199111810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(5*1\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108\/7*l**2 + 102\/7*l**3 - 102\/7*l + 15 + 3\/7*l**4 = 0.\nAnswer: -35, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106 - -114) + -2 + (-10 + 2 - -79 - 7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r + 17*r + 0*r**2 - 5*r + 67 + r**2 as b*r + l*r**2 + t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w**2. Let b(c) = 63683097*c. Give b(j(u)).\nAnswer: -573147873*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13828585 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1771 - 12358\/7. Let d = k - 787\/140. Suppose -2*f - 3*f = 0, 4*f + 5 = -5*a. Which is greater: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l**3 - 8*l + 8. Let h(g) = -4*g**3 + 3*g - 3. What is -8*h(n) - 3*m(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3835*p + 7 - 13.\nAnswer: -3835*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 354 - 2*r**3 - 199 - 277 - 2*r in the form g*r**3 + f*r + z + s*r**4 + l*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2. Let c(x) = 3*x**2 + 310*x + 1. Calculate c(n(o)).\nAnswer: 3*o**4 - 310*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-41*(-3)\/1)*(-162)\/108.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*k. Let q be 0 - (3 - -3)\/k. Put -5, q, 1 in ascending order.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*f + 133 = 579, 3*v - 669 = 2*f. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from oososoosoosooooooo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*d + 36 = 22, -5 = -2*g - 3*d. Solve g*b + 9 - 17 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 131*k - 258. Let p be w(2). Solve p*v + 3*t - 25 = 0, 5*v - 10*v + 2*t = -14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 583, 607, 629?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1192*l**2 + 1 + 1193*l**2 - 2402*l**2 - 4*l)*(3*l**2 - 2*l**2 - 2*l**2).\nAnswer: 17*l**4 + 4*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3276644 by 14.\nAnswer: 234046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415243 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 5*z**2 + z - 12. What is the tens digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 181 = 3*g + 6*d, -5*d = -10. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.5874473 to two decimal places.\nAnswer: 100.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -12242?\nAnswer: 12242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -382636257 + -3353\nAnswer: -382639610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/10 - 42\/(-5)) + -4. Let y be 4*(k - 7)\/6. Let u be -3 - y*(14\/(-4))\/7. Put -1\/10, u, -1 in decreasing order.\nAnswer: -1\/10, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7107 is divided by 884?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(1 - 2) - -2. Let o(m) = m**3 - 3*m**2 + 3*m. Let l(k) = -4*k + 13*k + k**3 - 2*k**2 - 7*k. Determine s*l(a) + 2*o(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*((-6 - -22) + -15). Solve -30*p + 7 = -34*p - m*l, 4*l + 3 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*t - 320. Suppose 3*n = 12, -6*w + 3*w - t = 2*n. What is the tens digit of w\/(-2) - (-28)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5449, -11117, -16785, -22453, -28121, -33789?\n\"Answer: -5668*l + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 67. What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2058 = -5*j + 543. Let g = j - -439. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 2*t**2 - 12*t**2 + 11*t**2 - 8 - 6*t. What is the remainder when d(-5) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*t - 70 = -8*i, 0 = 3*t - 6. Suppose g = -i*m + 11*m + 6350, m - 2*g - 1281 = 0. What are the prime factors of m?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475771 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 72?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 2*f - 2*f + 4*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -62, -405, -1394, -3347, -6582, -11417, -18170?\n\"Answer: -53*v**3 - 5*v**2 + 43*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 5. Let x = -25 + 33. What is the remainder when z(x) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 28. What is the greatest common factor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1626, -1607, -1570, -1509, -1418?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -38. Let g(l) = l**3 - 5*l**2 - 4*l - 6. Let p be (-2)\/4 - (-13)\/2. Let w be g(p). Solve 3*i = -w*f + f - 30, 0 = -5*f - i - u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/28 in 1\/6, -279558, 1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Suppose -y*z + 3 = -7. Let x(k) = k**2 - z*k + 2*k. Let l(o) = o. What is x(l(i))?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276.9 - -1.212492?\nAnswer: 1278.112492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2915, 2257, 1599, 941, 283?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/9)\/((-34)\/6). Let i = 0.6 - 0.45. Let n = 0.05 + i. What is the third biggest value in -3\/2, l, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 10*n**2 + 117*n - 1965. Calculate w(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7471*v - 82171. What is w(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 74*h**3 + 7.\nAnswer: -74*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 1. Let u be o(-1). Let d(r) = -3 + 4 + 2 + r + 5. Calculate the smallest common multiple of d(u) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 4*k - 2. Let l be b(3). Let s = -5 + l. Let j be -3*1 + 10 + s. What is the biggest value in j, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 2)*(w - 3*w + 3*w) + 51*w - 39 + 38 + 48*w to the form c + b*w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*77\/63*12\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 1, y: 1, k: 6, j: 5}. Give prob of sequence jfkk.\nAnswer: 25\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 10:47 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (1 + -7 - (2 + (-2 - 9)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2747625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/10 and 93\/47278?\nAnswer: 236390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -400015*u - 255. Let n be w(-17). What is n rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + v + 2*v)*(-3*v**3 + 4*v**3 + 0*v**3) - 22*v**4 + 25*v**4 - 145*v**4.\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-65) - (1 - 222\/220). Which is the nearest to 0.1? (a) -5 (b) 3\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 2)**2 + sqrt(176)*2 - (sqrt(11)*1 + -3 - sqrt(220)\/sqrt(5))**2.\nAnswer: 28 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let i(f) = -f**2 + f + 2386468. Give q(i(j)).\nAnswer: 2*j**2 - 2*j - 4772936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 17. Let i be p(-7). Which is the smallest value? (a) 0.3 (b) -3 (c) i (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -1)*2\/(20 + -22). Solve 21 = -2*p - 0*p - z*q, p - q = 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 669824*u**3 + 669823*u**3 - 3 + 2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -12.88764.\nAnswer: -10.88764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3271\/1008 + -1\/144. Find the common denominator of ((-3)\/(36\/(-5)))\/((-228)\/(-2888)) and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (82\/3)\/(4\/174). Suppose 2*p = 5*y - p - z, 5*y - 4*p = 1192. Suppose 0 = -q - 3*q + y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/(5\/(-20)). Let x(v) = 4*v**3 + 3*v**2 - 3*v + 1. Is x(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 318, 105, -108?\n\"Answer: -213*o + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -16 (c) 13\/30 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 9*f**2 - 9. Let y(n) = -4*n**2 - 4. Let t(z) = 4*o(z) - 9*y(z). Factor t(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 61*c - 7*c = 222 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27650.\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -41*c + 1862. Calculate the remainder when 1\/2 - (-357)\/6 is divided by y(45).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32862 (base 16) to base 5.\nAnswer: -23110241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 757, 758, 759?\n\"Answer: m + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5609108242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76776 and 44549274.\nAnswer: 178197096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**3 + 75*q**2 + 190*q + 120 = 0.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let x be z(0). Let w(c) = -c**3 + c**2 + c + 2. Let s be w(x). What is the second derivative of s*b**3 - 7*b**3 + b - 4*b**3 wrt b?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65439, -66371, -67303, -68235, -69167?\n\"Answer: -932*k - 64507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-32 - 28) + (-12290)\/300?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2485 - 2476. Solve -a*n = 2*n - 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-3)\/(-1) - (-640)\/(-208))*-1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -52. What is the remainder when 32 is divided by (2 - q)*0 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4160)\/78)\/16*(-6)\/4. Solve 12*d = 17*d - k, -2*p - 15 = -d for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 29 + 10*g**5 - 8*g**5 + 2*g**3 + (2*g**4 + 2*g**4 - 5*g**4)*(0 + 0 - 2*g).\nAnswer: 4*g**5 + 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 155119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*c + 150*c + 65 = -4. Put 6, -38, -4, c in decreasing order.\nAnswer: 6, c, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16564683.\nAnswer: 3, 5521561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 260, 259, 258?\n\"Answer: -p + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*((t*t**(-8))\/t)\/t*t**3*(t*t\/(t\/t**1))**(-39)*(t**2*t)**(-19\/5)\/(t*t**0*t)**(-21) assuming t is positive.\nAnswer: t**(-262\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 4. Let -55*z**2 + 32*z**c + 16*z + 27*z**2 = 0. Calculate z.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 15*j**4 + 2*j - j**2 + 2*j**4 + 15*j**4 - 3 to b + f*j**2 + a*j**3 + p*j + v*j**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 161*k**2 + 3203*k - 1634. Determine n(138).\nAnswer: 2368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62606819 + -18292802. Let c = g - 27718845. Suppose 0 = 5*n + 3*f - 5795172 + c, -4*n - 8640000 = -5*f. Round n to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 h when four letters picked without replacement from {j: 2, c: 1, t: 1, n: 1, h: 5, o: 5}.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 smaller than -633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 4, x: 6, t: 5}. What is prob of picking 1 x, 1 z, and 1 k?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*t**4 - 2*t**3 + 2*t**2 - 49*t wrt t?\nAnswer: 336*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0171 times -12.9?\nAnswer: 0.22059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 + 4*r - 8. Suppose 5*f + 0*f = 35. Let i be j(f). Let b be (-32)\/i + 2\/(-5). Does b = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.23 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4372991 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000251516334 to seven dps.\nAnswer: -0.0000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 90*j*y**2 - 2*j - 220*y**2 wrt j?\nAnswer: 90*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1469 + -1473. Sort -2, 3\/2, h, 102 in decreasing order.\nAnswer: 102, 3\/2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1\/231, 3 in decreasing order.\nAnswer: 3, -1\/231, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9\/5)\/v*v\/v**(-26) assuming v is positive.\nAnswer: v**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)*z*z*z)\/z)\/(((z**(-5)*z)\/z)\/z) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 17. Suppose 0*t = 5*t - h - 90, 0 = -t - 2*h + g. Let k = 25 - t. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.071 - 17.471. Sort -0.02, b, -0.1, -310 in decreasing order.\nAnswer: -0.02, -0.1, b, -310","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/7 in -0.2, -33, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r + 4. Suppose 2*h - 2*z = z + 53, 5*h = -3*z + 164. What is the remainder when h is divided by k(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3\/2 - 179595*h**2 - 718365*h\/2 - 179590.\nAnswer: -5*(h + 1)**2*(h + 71836)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 1. Suppose -125 = -14*s - 139. Let x(d) = d. What is s*t(k) + 6*x(k)?\nAnswer: k**2 + 6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 39. Let u = p - -19.9. Let s = 0.5 - u. What is the closest to -2\/3 in s, 4, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6324*k + 2568540 = -13434*k for k.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-14)*((-5220)\/60)\/(-783)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.3781586274823105 + 2409859778.6218412425176895. Let b = a - 2409859808. Let i = b - -11. Round i to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 + 7*o + 1. Let g(j) be the second derivative of j**4\/12 + j**3\/6 - 18*j - 8. Give 5*g(h) - z(h).\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -6) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 18 = 2*c, -5*v + c + 495 = 438 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 0*x**2 + 6 + x**3 - 6*x - 5*x**2. Let i be o(6). List the prime factors of i\/(-27) - (-61)\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226788.\nAnswer: 2, 17, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -5*(-12)\/20 - 6744\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 6666?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + v**2 - 5 + 17*v**3 - 18*v**3 + 5. Let o(y) = y**3 - 8*y**2 - 8*y - 1. Let q(c) = 2*j(c) + o(c). Determine q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-3 - 8 - 7) + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 1. What are the prime factors of 34\/4 + (-2)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o**2 - 8*o - 3. Let y be s(3). Let p = 92 - y. Let f(g) = -g**3 - 6*g**2 + 9*g + 4. What is f(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/3 + 9*d**3 - 47*d**2\/3 - 345*d.\nAnswer: -d*(d - 23)*(d - 9)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(84)*-3 + sqrt(84))*1)\/((-4*sqrt(72)*5 - sqrt(72))\/sqrt(6)))**2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**6*a*a**0*a**(1\/12)*a*a**(1\/3)*a**(2\/9)*a*(a**(-1\/6)\/a)\/a*a*a**(-2)\/a**(-1) assuming a is positive.\nAnswer: a**(-127\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 10*x - 25. Let t be c(11). Let w be ((-21)\/t)\/((-2)\/(-4)). Suppose 0 = -4*m - 3*d - 12, 2*m - w = d + 1. Solve -4*r + m = 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/17)*n*n**(-4\/11)\/n assuming n is positive.\nAnswer: n**(-112\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.1, 1948, -5 in ascending order.\nAnswer: -5, -0.3, -0.1, 1948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*b + 1183462, 0 = -r + 3*r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1147*v + 1118*v - 8 + 39. Let h(d) = 15*d - 16. Let i be (3 + 30\/(-9))*-9. Let t(z) = i*y(z) + 7*h(z). Differentiate t(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 60. Let g = z - 57.99786. Round g to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199581.3 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f**2. Let t(u) = 3*u - 9. Let z(i) = 7*i - 10. Let c(m) = 5*t(m) - 4*z(m). What is n(c(j))?\nAnswer: 2873*j**2 + 2210*j + 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdhppmmdmhdmpddh. What is prob of picking 1 p and 3 m?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 15. Let t(l) = -l**3 + 6*l**2 + 8*l + 6. Let i be t(f). What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 380\/684*(-54)\/12\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*l = -2*a + 237*l - 19, 0 = 5*a - l - 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*q + 247*q + 363*q.\nAnswer: 780*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:08 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let s(a) = 3*a. Let g(h) be the second derivative of -4*h**3\/3 + 4*h. Suppose 3*l = 6*l + 42. Let i(v) = l*s(v) - 5*g(v). Give i(p(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*t, -201538 + 24071 = 5*a - 2*t. Let p be a\/(-217) + 6\/14. What is the highest common factor of p and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2903*a + 9182. Calculate m(3).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*w**3 - 979992*w**2 + 489993*w - 61249.\nAnswer: (w - 61249)*(4*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.9 + 5.9. Let t be (-10)\/12 - (-1)\/3. What is the nearest to 2 in 1, o, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6183*d + 12262*d - 6161*d + 2460 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - v**2 + 0*v + (0*v - 2*v + 4*v)*(-v - 1 + 1) + 30 - 5*v**2 - 30 + (0*v - 4*v + 3*v)*(0*v + 4*v - 2*v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 4*q - 4*q)*(2*q + 0*q - 2 - 5*q).\nAnswer: 6*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544944?\nAnswer: 2, 223, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -214034*t**2. Let u(q) = 10*q**2. Give u(o(j)).\nAnswer: 458105531560*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1 = 3*c, 3*d = -4*c + 1 + 5. Suppose -j + 7 = -r - 20, -c*j + 4*r + 83 = 0. What is the remainder when j is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5836115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 203308345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 5, 0.94?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 7*y**2 + 5*y - 11. What is the units digit of o(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 2. Let v(s) = s**3 - 8*s**2 + 8*s - 3. Let a be v(7). Determine c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (17 + -14 - 20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -25, 4, -1 in descending order.\nAnswer: 4, 3, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + v = -2456. What are the prime factors of v?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) -9 (c) -0.0297 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*n - 1091 + 1091)*(2*n**2 + 0*n + 0*n) - 3 + 3 - n**3.\nAnswer: -189*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - (-68 - 8)) + 15?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 76*d - 70. Let s be a(18). Let t(g) = 35*g**2 + 3*g + 3. Let x be t(-3). Is (s + (2 - 3))*(x - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, 11, 12230 in decreasing order.\nAnswer: 12230, 14, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333032 - 3220?\nAnswer: -3002312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(35\/(-42))\/((-420)\/54 + 8). Let g(t) be the first derivative of -2 + 0*t**2 - o*t**4 + 0*t + 7\/3*t**3. Find the third derivative of g(s) wrt s.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/((-6)\/7) - 12\/4. Let s be (4\/30*-9)\/(c\/(-10)). Determine i, given that -2\/17*i**s + 0 + 4\/17*i - 2\/17*i**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2238388\/57 + 39269. Calculate the common denominator of 52\/209 and l.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 180\/14 + 309027\/(-50190)\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 37012*i + 481484. Calculate f(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035072198 to seven decimal places.\nAnswer: 0.0000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 277*l*p + 27349*l + 32*p wrt p?\nAnswer: 277*l + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 265*y**2 - 2*y - 2*y**4 + 2*y**3 - 1 - 265*y**2 + 3*y**4.\nAnswer: (y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) 2\/9 (b) 1\/63 (c) -1\/7 (d) -0.37 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/57)\/(2*(-2)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.23009 years to decades.\nAnswer: 7.123009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 4. Suppose 5*b + 0*z - 5*z = -v, b + 3*z = 18. Suppose i - b = 1, -3*s - 4*i + 1 = 0. Which is smaller: s or -19\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1415, 5315, 11693, 20543, 31859, 45635?\nAnswer: 61865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, 3, 0.3, 5, 4 in decreasing order.\nAnswer: 5, 4, 3, 0.3, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 375 + -373. Put h, -4, 2\/13 in descending order.\nAnswer: h, 2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20 - 1)*(-1)\/(-1). Calculate the common denominator of -67\/3 and (-2 - n)*(-14)\/78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoyooyooyy. What is prob of picking 3 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 353822688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x. Suppose x = -2*s + 2 + 2. Suppose d + 3*d - 437 = -3*w, s*d - 211 = -3*w. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31, 93, 535, 1451, 2997, 5329?\n\"Answer: 26*y**3 + 3*y**2 - 67*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.25 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/26 + 61\/234. Which is the closest to -1? (a) -2 (b) w (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -154?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42040.\nAnswer: 2, 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14440143*l + 14742398 wrt l?\nAnswer: -14440143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11426 a multiple of 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - -47) + 7 + 47 + 4\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, -1\/7, -5, 0.827, 0.02?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110555 is divided by 1184?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.68757 years to decades.\nAnswer: 3.968757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**7\/42 + 7*s**6\/30 - s**5\/10 - 23*s**4\/6 + 65*s**3\/6 - 25*s**2\/2 + 3*s - 29. Find l, given that j(l) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18713128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + t**3 - t**3)*(2*t - 2*t + 5*t) - t**2 + t**2 - 10*t**4.\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 + v**2)*(2*v - 2*v**3 - 2*v) + 91*v**5 + 4409*v**3 - 4409*v**3 - 2*v**2.\nAnswer: 89*v**5 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 137. Let n(m) = 3*m. Determine z(n(c)).\nAnswer: -3*c + 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 3*s + 2*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884322 is divided by 188?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + k - 27 = 0, -2*s - 4*k = s - 6. Suppose 6 = -3*t + 120. Calculate the lowest common multiple of s and t.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/11, 9520, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1 + sqrt(2448) + 4 + sqrt(2448) - (2*sqrt(2448) + 3 - sqrt(2448)))*2)**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 13*d**3 - 10*d**3 + 7*d**2 - 4*d**3 - 17 - 3*d + 17*d. What are the prime factors of p(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -38*u**3 + 19*u**2. Let d(j) = -j**3 + 23*j**2 - 51*j - 1. Let p be d(2). Let q(i) = -13*i**3 + 6*i**2. Calculate p*q(z) + 6*y(z).\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 31*i - 10. Suppose b = 1, 5*u = u + 2*b + 42. Is f(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22975*d**2 - 9909?\nAnswer: 45950*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363518219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h**2 - h - 2. Let s(r) = -11*r**3 - 5*r**2 - r + 6. Calculate -5*q(x) - s(x).\nAnswer: 16*x**3 + 6*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 1, l: 2, s: 5, u: 5, j: 2}. What is prob of picking 1 l, 1 j, 1 w, and 1 u?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262\/43 - 4795\/1161. What is the common denominator of 53\/6 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1563 divide 86771659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 2. Let a be n(0). Suppose -5*h = 4*l - 11, -10 = -0*h + a*h. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 1. Let p(d) = -d**3 + 16*d**2 + 22*d - 89. Let w be p(17). Determine m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(22530 + 301*f - 22530).\nAnswer: 301*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/9 and -20\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-22) - (-3)\/10. Sort -2\/5, -3, f in increasing order.\nAnswer: -3, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021334148 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 689376343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3755, -6611, -9467?\n\"Answer: -2856*s - 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltut. What is prob of sequence ttul?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0045 + -0.0701. Let w = -0.165 - a. What is w rounded to three dps?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 32 - (-190 - -252)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-14 + 11 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -6*g**3 - 65*g**2 + 130. What is the second derivative of x(b) wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 111.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/3))**(-10)*v**(-2\/5)\/((v*v**(-3\/7))\/v) assuming v is positive.\nAnswer: v**(-697\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 525641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 4*y**2 + 6*y + 6. Let i(x) = -x**2 - x - 1. Suppose 3*c = 27 - 9. Let s(v) = c*i(v) + l(v). Find the third derivative of s(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749298597 bigger than 749298597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/500296646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-33 - -26) + 31\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*j + 4*c + 114, -2*c = -8. Let d(x) = 196*x**2 - x - 146. Let z be d(0). Let h = z - j. Round h to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -4) + (44 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -515*z**5 - 2150*z**4 + 8910*z**3 - 8680*z**2 + 1805*z + 630 = 0?\nAnswer: -7, -18\/103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 85. Find the second derivative of 194*w**2 - 69*w - 77*w - 409*w**2 + 174*w**a wrt w.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 53. Solve b + 2*k = o*b, -2*b - k = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287760828?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -26*c + 9. Let z(h) = -36*h + 12. Let d(a) = 4*f(a) - 3*z(a). Let b(l) = 157*l + 1. Determine b(d(o)).\nAnswer: 628*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 14*w**2 + 5*w - 99. Determine f(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -368*o. Let f(z) = z**2 + 4*z + 2. Let s(k) = -k**2 - 2*k - 1. Let q(b) = -2*f(b) - 4*s(b). Give g(q(u)).\nAnswer: -736*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 371082694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(3\/2)*(-30)\/(-12)*-6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 6*s + 4. Let a be f(5). Let t(g) = 23*g**2 + 2*g + 1. Is t(a) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 108 = 3*w - 2*w, -4*w = -h - 484. Suppose 4*j + w = 14*j. List the prime factors of 627\/2*((-32)\/j)\/(-4).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -317 - -321. Which is the third smallest value? (a) -3 (b) -15 (c) 3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-2)\/(1 + -3). Suppose -5*u = 0, 3*f + g = -2*u + 19. Let p(v) = 3*v**2 - 12*v + 19. What is the units digit of p(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 1924 = -24*p. Let v(k) = -k - 1. What is the lowest common multiple of v(-3) and p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, -44, -3078 in increasing order.\nAnswer: -3078, -44, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 570 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*v - 11 = 0, -v + 2 = -5387*w + 5388*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -22. Let l = 25 - k. Let v = 15 + -3. What is the least common multiple of l and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105687*g**3 + 6*g + 105675*g**3 - 4*g - 211327*g**3 - 2*g.\nAnswer: 35*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-28))\/(90\/(-336)))\/(1*14\/(-420)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12*w + 335 = 13*w, 0 = -5*o - w + 839. Suppose 3*b = 49 + 65. Let r = b - 14. Calculate the greatest common factor of r and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 468\/(-45) + 6\/(-10). Let w(m) = -m**3 - 4*m**2 - 2*m - 3. Determine w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 6*v**2 + 2*v. What is the units digit of d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = -3*n, -2*n - 5*o + 8 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 18255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-2)\/(4\/10). Let d = -21 + 20.28. Let k = 0.22 + d. What is the third smallest value in h, -1, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + 1.6. Sort 5, -1, c.\nAnswer: -1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518238119?\nAnswer: 3, 23, 22003451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 + 72\/10. Suppose -x*v - 172 = -11*v. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 30944, 1 in decreasing order.\nAnswer: 30944, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26964 divided by -4?\nAnswer: 6741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10000100111011110?\nAnswer: 10000100111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 13*c - 60. Let l be t(11). Let w be (1*-2)\/((-4)\/(-80)). Let x = l - w. Solve -2*k - 4*b - 8 = x*k, b = 2*k + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = p + 6*h + 1, 0 = 3*p - 3*h - 9. Find the third derivative of -13*t - 106*t**4 + 5*t + 2*t**p - 25*t**3 + 108*t**4 wrt t.\nAnswer: 48*t - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1328903 and 5195968?\nAnswer: 1615946048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 45 = 2*p + 147, -5*i + 85 = -4*p. What is the highest common divisor of 3910 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21354 divided by -6?\nAnswer: 3559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51015620, -51015621, -51015622?\n\"Answer: -n - 51015619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102510, -205011, -307512, -410013, -512514?\nAnswer: -615015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500\/22*(-924)\/(-22) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 5. Let m(a) = a - 5. Let f(x) = -5*m(x) + 4*p(x). Let h be f(4). Let i(o) = -o - 1. Let c be i(4). Sort 5, c, h in decreasing order.\nAnswer: 5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 10*f**2 + 44*f + 48. What is the remainder when 245 is divided by m(-4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 9:04 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 64\/322 + 16\/184 + (-658)\/1617\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1010*b**6 - 39*b**4 - 25432*b**2.\nAnswer: -121200*b**3 - 936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1830 + -1 + (-20)\/(-4). Suppose -12*a + r = -3170. List the prime factors of a.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + s\/3 - 2.\nAnswer: (s - 2)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -642?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 32*n - 12. Calculate l(-14).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.5 (c) -17 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2436954 and 11778.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, -65\/4, 3, 2\/3, -2\/3, 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 1 + 4. Suppose -5*d + 2*p + 3*p = 5, 0 = -3*d - 3*p + 27. Do r and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + (11 - 9) + 2 - (-459 - -490)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/4)\/(-1 - (-244)\/248)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*h = 35 + 25, -3*b + 2*h + 47 = 0. Suppose -5*v + k + 102 = -b, -3*v = k - 77. Calculate the remainder when 94 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4626415 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74752 is divided by 8280?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - w**3 + 4 - 2*w**2 + 9 + 5*w - w.\nAnswer: -(w - 2)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.18866117 - 102.\nAnswer: -119.18866117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8))**13\/(h*h\/h**(-6\/7)*h)**(-18\/7) assuming h is positive.\nAnswer: h**(-4610\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 166.866 and -257.\nAnswer: -90.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 19*f - 238. Let j(t) = t**3 + 14*t**2 + 12*t - 6. What is the lowest common multiple of j(-13) and i(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004591 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -2790\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*l + 11 - 2, 0 = -i - 4*l - 12. Suppose 16 = -4*x - i*x, 4*x = j - 28. Suppose 2*q - 7 = b - 21, j = -4*q. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 150, 202, 254, 306?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 6826317\nAnswer: -6826316.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:36 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkekkeekk. Give prob of sequence ee.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31895\/254 - -9\/127. Let p = 19325\/154 + i. Let t = -137\/1309 + p. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 22 + (-10 - -6) + 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pql when three letters picked without replacement from lxxxpqxlx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) 1 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/4 and (-5)\/24*639\/(-1530)*2?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2\/2 - 255665*w\/2 + 42611 = 0. What is w?\nAnswer: -85222, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 1, 2 in descending order.\nAnswer: 9, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -5*g + 4*f, -268 = -4*g + 7*f - 3*f. Suppose -u = -2*u + g. What is the remainder when u is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 5. Let u be i(-9). Let a be (u - (1 - 1))\/(-2). Solve 2*s - 4 = y - 1, -a*s - y - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 76 = -4*t + 206, 0 = t - 2*m - 29. Let f be t\/(-27) + 2 - 1. Let d = 2 - 2.2. Sort d, f, 0 in descending order.\nAnswer: 0, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 38*g + 120. Let f be t(-3). Which is the closest to -1? (a) -0.2 (b) 1 (c) f (d) 3\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 2*q**3 + 2*q**3 + 2*q**3 - 3*q**3 + 2*q**3 + (4 - 4 - 2*q**2)*(3*q - 2*q - 3*q))*((0*q + 0*q - 2*q)*(-1 + 0 + 0) + q + 5 - 5).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -131\/143 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11418 - 502429\/44. What is the common denominator of f and (-3)\/18*5\/(30\/57)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:53 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 35.05. Let w = h - 24. Let m = -13 + w. Sort 2, m, -2\/3 in decreasing order.\nAnswer: 2, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99903 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(204) + sqrt(204) - sqrt(204))*-3)\/(sqrt(96)\/sqrt(8)*-6)*-6.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, 4\/35, -18\/13.\nAnswer: -203, -18\/13, 4\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Suppose 0 = 4*m - 0*k + 5*k + 3, 30 = 5*m - 5*k. Solve r*p - 10 = -3*z, m*p + z = -p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804440831 to the power of 1\/2, to the nearest integer?\nAnswer: 28363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 440.4608 micrometers?\nAnswer: 0.04404608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*b - 232 = 594, 4*i - 1704 = 3*b. Let p be ((-94)\/i)\/((-1)\/18). Solve 6*q - 4*q - n + 6 = 0, 5*q - p*n + 21 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76267 is divided by 1272.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29680212 and 1540011.\nAnswer: 326482332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*o + 43 = 0, -k - 4*o - 10 = 27. Is 12 a factor of 6\/k + (-279)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 12780.\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 11660*h - 257033. Give y(-22).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**3 + p**2 - p + 1. Let f be 7\/5 + 8\/(-20). Let h be i(f). Calculate the least common multiple of 49\/14*(-4)\/h and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 8*i - 7 = -n, 3*n + 3*i + 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**7\/7 - s**4\/6 - 2*s + 5. Let z(u) be the first derivative of p(u). Find the third derivative of z(k) wrt k.\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114860403 divided by -15.\nAnswer: 38286801\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 32. Put 6, 0, p in decreasing order.\nAnswer: 6, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + q - 2*y + 4, -11 = -q - 3*y. Suppose 4*p = q*z - 0*p + 12, -3*z = 3*p - 9. Let t = -253\/5 - -51. Which is smaller: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:48 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 6*o + 6. Let n be c(-9). Let v = n + -103. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -192672 or -192656?\nAnswer: -192656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8416 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**8\/6720 + u**7\/504 - u**6\/120 + u**5\/40 + u**4\/6 - u. Let j(t) be the third derivative of n(t). Determine j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in -1\/3, 5, 0.4, 0, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p**4 + 50015*p**3 + 455990*p**2 + 66275*p - 74610 = 0.\nAnswer: -1658, -9, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3*z**2 + 974*t**3*z + 60*t**2*z**2 - 5613*t**2*z + 23783*t*z**2 wrt z?\nAnswer: -6*t**3 + 120*t**2 + 47566*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 724, -592 in descending order.\nAnswer: 724, -1, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 + 3*k**2 + k - 2. Let j be r(2). Let f be ((-2)\/j)\/(3\/(-24)). Let x = -0.6 + 3.6. Put x, f, -2\/7 in decreasing order.\nAnswer: x, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195650694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-12)*-1*9. Let t be 6\/q - (3 + 1). Let b = t - -14. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 8*s - 12. Suppose -7*u - 29 = -3*u - 5*d, -43 = 5*u - 4*d. Let o be a(u). Calculate the greatest common divisor of o and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 232. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 + 101 + 24 - s + 25 + 11.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v**2. Let x(z) = -9*z - 89. Let j be x(-11). Let c(r) = -6*r**2 - 4*r**2 + j*r**2 - r**2. Determine c(n(l)).\nAnswer: -289*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -36*m**2 + 28*m - 12. Let o(n) = -32*n**2 + 24*n - 11. Let z(l) = 8*o(l) - 7*v(l). Give z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(33))\/((sqrt(120)\/sqrt(5))\/sqrt(8)) + (2*sqrt(121)*-5)\/((2*sqrt(99) + sqrt(99) - sqrt(99))\/sqrt(9)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1332468 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**17\/s)\/s)\/s)\/s**(-18) assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 9. Suppose 5*q + 5*p - 2 = 93, -4*p + w = 5*q. Calculate the lowest common multiple of 18 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.11104 - -0.05024. Let s = 22 + v. Round s to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -41. Let n = 3663177 + -3663204.00057. Let b = n + f. Round b to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1 - (-11 - -11) - 6 - -44370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1088))*-4 + -3.\nAnswer: -32*sqrt(17) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3658*d - 3016. Let a(q) = -7280*q + 6031. Let s(n) = 4*a(n) + 7*j(n). Find the first derivative of s(x) wrt x.\nAnswer: -3514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + u**4 + 3*u**4 + u**5 + (-1 + 2 + 0)*(u**5 + u**3 - u**3).\nAnswer: 2*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**8\/16 + x**7\/14 + 23*x**6\/40 - 29*x**5\/20 + x**4\/2 + 2*x**3 + 8*x**2. Solve o(r) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 26 - 30)*(-3*h**2 + 0*h**2 - 2*h**2).\nAnswer: -290*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -4. Let u(j) = -j**3 + j + 1. Let o(g) = 5*g**3 + 5*g**2 - 6*g - 8. Let l(a) = s*o(a) + 4*u(a). Suppose 7*h - 2 = -37. Give l(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w = 25*w - 1100. Let z = w + 102. Solve -h + z*c - 9 = 3*c, 0 = -4*h - 5*c - 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 6*i - 11. Let h(m) = m - 1. Let w(a) = f(a) - 6*h(a). Let o(t) = -t. What is w(o(v))?\nAnswer: -3*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*m**3 + 1118*m**3 - 4473*m**3 + 1115*m**3 + 1119*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*a + 97, 4*z = -a - 32 + 87. Calculate the lowest common multiple of a and 3*(4 - 2\/2).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/1 - 10\/(1040\/1924). Suppose 15\/2*p**2 + 405\/2 - v*p**3 + 225\/2*p = 0. Calculate p.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + d = l - 29, d = -5. Let a = l + 79. Suppose 4*v = w + 2*w + a, -2*w = -2*v + 26. What is the greatest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + o**2 + 21*o - 10 - 7*o.\nAnswer: -2*o**2 + 14*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/6)\/((-26)\/(-39)). Solve -w*h - 5 = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**5\/10 + 13*x**4\/12 - 11*x**3\/3 + 14*x**2 + 5*x + 8. Let i be v(14). What is i rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1008))*1*2 - ((-1 + sqrt(1008))*-5 + 2*1*sqrt(1008) + sqrt(1008)))**2 + -2.\nAnswer: -672*sqrt(7) + 16175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300 (base 8) to base 3.\nAnswer: 222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*w + 164, 0 = -0*w + 2*w - 4*p - 112. Let k be 3 - w\/6 - -6. Are k and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -148*m + 7*m + 408*m**2 + 5*m**3 + 16*m - 408*m**2.\nAnswer: 5*m*(m - 5)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -47*y**4\/8 - 3*y**2 + 22*y. Let i(x) be the first derivative of f(x). What is the units digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/3 - 1004*j**2\/3 + 8*j\/3 + 4016\/3 = 0. What is j?\nAnswer: -502, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Suppose -d*i + 160 = -2*i - 3*z, -5*i = -3*z - 400. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 34 + 91 = 0. Let h = f + -8. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h - 11106 = -101*h - 156*h - 1076 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17518 and 450397.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -823 + 1668. Suppose -5*l - x = 6*r - r, 3*r = 4*l + 676. Let z = -27 - l. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 705 + -385. Suppose 0 = -2*d + u + j, -4*u = -5*d + 826 - 23. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/20)\/((-2)\/(-10)). Let v be (-3*1)\/(3\/j). Suppose v*g = g. Solve g = 4*o - 3*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2943179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 7*n**2 + 6*n + 2. What is c(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -603016\/11 or -54821?\nAnswer: -54821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16318815 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + q + 21 = 0, -l - 2*q - 27 = -6*l. Suppose -f - 3*f = 5*t - 49, l*t - 25 = 0. Suppose f*b - 848 = 106. What are the prime factors of b?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-13)\/(((t*t**(2\/15))\/t)\/(t\/t**3)))**(-47))**(-30) assuming t is positive.\nAnswer: t**(-21338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 33. Let x(o) = 133*o**2 + 4*o + 1. What is x(w(f))?\nAnswer: 532*f**2 + 17548*f + 144706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*k - 47 - 121. Does 25 divide (1 + 0 + k)*266\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + (-234)\/(-4). Suppose -12 + o = 9*d. Suppose 0 = -5*i - 5*v + 20, -5 = -d*i - v + 7. Solve -i*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7850.626 + -7858. Let o = l - -0.074. Round o to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11160 and 720.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, i: 4, s: 4, z: 2, c: 1, x: 1}. Give prob of picking 1 s, 1 z, and 1 i.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 2006?\nAnswer: 22066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 43725.\nAnswer: 1574100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, -4, -13.\nAnswer: -13, -5, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03854 less than 0.022?\nAnswer: -0.01654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9096*v. Let q(t) = -7*t + 7218. Calculate q(n(i)).\nAnswer: 63672*i + 7218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(1539) + 0) + 0)**2.\nAnswer: 648*sqrt(19) + 13995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 143527713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 110 = 7*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5888, 6642, 7396, 8150, 8904, 9658?\n\"Answer: 754*f + 5134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 - 833366*y**4 + 1666740*y**3.\nAnswer: -2*y**3*(y - 2)*(y + 416685)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}