diff --git "a/data/dm_maths/full_data_2/10361_11255.jsonl" "b/data/dm_maths/full_data_2/10361_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10361_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundreds digit of ((-1414)\/6)\/(24\/(-121 - 23))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*l = -11, -4*l + 2*l = -10. Is -383*(-2)\/w + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 1216360*l + 294124864.\nAnswer: 4*(l - 303848)*(l - 242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 3*24\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**2\/3 + 3500*f\/3 - 1247936\/3 = 0.\nAnswer: -1147, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -10. Let o = i - -10. Suppose -110 = -8*b + o*b. Solve -3*n + 2*h = -10, -b = -3*n - h - 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.373 less than -3.759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 7*c**2 + 3. Let r be a(-7). Let m(q) = -3*q**3 + 7*q + 2. Let y(o) = -2*o**3 + 4*o + 1. What is r*m(x) - 5*y(x)?\nAnswer: x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -115. Let m = h - -30. Calculate the remainder when 26 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (sqrt(275) + (sqrt(275) + 1)*2 + (2 + sqrt(275))*-1)*-6*-4))**2.\nAnswer: 51840*sqrt(11) + 22809924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) - (-2 + sqrt(720) + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34 - 0.24. Put -7, n, 3 in increasing order.\nAnswer: -7, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 100?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 84*o - 104 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3381479745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -152, -233, -332, -455, -608?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3 - 13. Calculate the common denominator of -107\/10 and (-46)\/i + 0 + 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 52\/(-56))*(0 - -6). What is the third smallest value in -0.5, -5, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z**10*z))\/(z\/(z\/(z*z*z**(1\/7)))))**(-2\/49)*(((z\/(z*z**(-10)\/z*z))\/z)\/(z*z**(-2)))**(-5\/6) assuming z is positive.\nAnswer: z**(-8065\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q - 89. Calculate i(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024336 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 4*m**2 + 10*m + 12.\nAnswer: -2*(m - 2)*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z**2 + 57*z**2 + 34*z**2)*(z - 1 + 1)*(0*z - 2*z + 4*z).\nAnswer: 150*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12414548 take away 0.2?\nAnswer: -12414548.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 1683*j + 80772.\nAnswer: 3*(j + 53)*(j + 508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18043355 greater than 18043355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.2506 plus -1746.1?\nAnswer: -1671.8494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -z - 9*h + 19, -7*z = -3*z + 38*h - 43*h - 76 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v + 21. Let t be z(-1). Which is smaller: t or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/171025 or -1?\nAnswer: 2\/171025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-12))\/(3\/(-114)*-1) and 97\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*p**4 - 2*p**2 - 68*p.\nAnswer: -888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 12700?\nAnswer: -12704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13)*-1*4 - (sqrt(208) - sqrt(208)*-1))**2.\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 5*d + 5*d + 22*d**2 - 37*d**2 + 17*d**2.\nAnswer: 2*d**2 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453634019 is divided by 654.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 891.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4 - 57*c**3*w - 2*c**3 - 5*c**2 + 68*c*w - w + 1 wrt c.\nAnswer: -12*c**2 - 342*c*w - 12*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 o when three letters picked without replacement from {p: 14, o: 5}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 599099, 2396368, 5391829, 9585488, 14977351, 21567424, 29355713, 38342224?\n\"Answer: t**3 + 599090*t**2 - 8*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.967 - 0.167. Let u = 8.44 - z. Let o = u + -0.04. Round o to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 21 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z. Suppose 131 = 29*q - 14. Let h(k) = 3*k + 1. Determine q*w(s) + 3*h(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -61*(-6)\/9 + (-4)\/6. Suppose 51*w - 22 = n*w. Solve 2 + 6*t + 13\/2*t**w + 1\/2*t**4 + 3*t**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 7*m - 15. Let z(n) = -7*n**2 - n + 2. Let j be z(1). Let f be k(j). What is the tens digit of (-3 - -45)*(-3)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 + -0.119397?\nAnswer: -2.019397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*m + 229, -79 = -c - 3*m - 0*m. Let b = 17 + -3. Calculate the remainder when -2 + -2 + c + -1 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8205 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 2*w - 94)*(-6*w**4 + 0*w**4 + 4*w**4).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -18*k + 1. Let q(r) = -r. Let t(n) = a(n) - 5*q(n). Let l be t(-1). Solve 5*f - 2*f - l = 2*x, f + 2*x = 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -23*p + 10. Is 2 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -213, -204, -197, -192, -189?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuummuuuuumum. Give prob of sequence muuu.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/((-990)\/(-540)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.204, -4, -1\/6, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-30) + (-4)\/(-10). Let s = y + 1\/5. Suppose 0 = -3*j + 3*h + 9, 5*j + 5*h + 22 = 3*j. Which is the nearest to j? (a) -2 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1462462, -2924933, -4387404, -5849875?\n\"Answer: -1462471*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 462, -19 in descending order.\nAnswer: 462, 0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 5. Let v(h) = -5*h - 9. Suppose -d = w, -10 = 2*d - 4*w - 34. Let s(f) = d*v(f) - 7*t(f). Determine s(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1271*p**2*q + 110*p**2 + 3820*q - 65 with respect to p.\nAnswer: -2542*p*q + 220*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*b - 151*b - 159*b = 75*b - 23903 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = z - s, 9*s + 4 = 11*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8174763 <= 8174760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v + 38. Let t(p) = p + 4. Let w(o) = -t(o) + u(o). Let y(s) = -s**2. Determine y(w(r)).\nAnswer: -49*r**2 - 476*r - 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, q: 15}. What is prob of sequence ee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/6 - 232*o**2 - 3072385*o\/6 + 1538276 = 0?\nAnswer: -1192, 3, 2581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.53171319 to three dps.\nAnswer: 1.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 901*x**4 + 7*x**3 - 12*x**2 - 584*x - 2369.\nAnswer: 10812*x**2 + 42*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/14, -9.03, -246?\nAnswer: -9.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - v = -65, 3*z - v = -0 + 55. What are the prime factors of (-4)\/(z\/(-8135)) - 16\/(-8)?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o + 11*o + 6*o)*(-2 + 2 + o + (-84 + 9 + 29)*(-2*o + 3*o + 3*o)) to the form h*o + j + x*o**2 and give x.\nAnswer: -4209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -636 + 659. Suppose -806 = -5*n + r, -8*r + 4*r - 487 = -3*n. Calculate the greatest common divisor of x and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53370961 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-21) + (-10)\/42. Which is the second smallest value? (a) 8 (b) 2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186539 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 286197 and -70065.006.\nAnswer: 216131.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*2*3\/(-39)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let m = 3 + f. What is the smallest common multiple of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 - 3*k. Let a be c(-2). Calculate the least common multiple of (-9 - a)*(-5)\/3 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/4, 21 in decreasing order.\nAnswer: 21, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.785 * 379\nAnswer: 297.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2788 divided by -4?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153.7278 + -357.845. Let o = 204 + z. Round o to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**3 + 4*h**2 + 2*h - 5. Let a be p(3). Let x be (-1)\/(4 + a\/(-35)). Suppose 105 = -x*g + 448. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 + (95045\/(-4))\/(-5). Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770685 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -428*c**2\/3 - 17700*c - 51816.\nAnswer: -4*(c + 3)*(107*c + 12954)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(171)\/((sqrt(9) + sqrt(36))*2).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -41. Let c be ((-2)\/6)\/((-20)\/p). What is the closest to 0 in 4, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 628 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*h - 1448 = 45*h - 17072 for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 14. Suppose -8 = -m*f + 2*f. Solve -5*q + 9 = l, 0*q = -2*q + l - f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (-4*sqrt(153)*3*1 - -3*(5 + ((sqrt(2057)*1)**2 - sqrt(2057))))*-1).\nAnswer: -69*sqrt(17) + 6186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w + 2 = 0. Sort w, -2, 5 in increasing order.\nAnswer: -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 69. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 + -175 - (41 + -7).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14260792 and 41363?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 837620 (base 9) to base 15\nAnswer: 9c6dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370871 divided by -456957?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + h - 6 = 0, h = -2*c - 3 + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 531821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 474323495 a multiple of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -4 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 136742664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1231547\/105 - -11729. Find the common denominator of g and 99\/448.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 6:13 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320808?\nAnswer: 2, 3, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*w + 222314 = 0, 2*h - 5*w + 142090 - 364404 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*x - 564 = 65*x. Calculate the remainder when x is divided by (-290)\/(-12) - (-6)\/(-36).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002016586479 to six dps.\nAnswer: -0.002017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.1 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**8*p*p**15)\/(p**(4\/5)*p*p\/(p\/p**(1\/3))) assuming p is positive.\nAnswer: p**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 48*l**3 + 80*l**2.\nAnswer: 4*l**2*(l + 2)*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-47)\/((-12)\/8 - -1). Suppose 10*t + 19228 = 103*t + 116*t. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -289, -255, -267, -325, -429, -579?\n\"Answer: -23*b**2 + 103*b - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 11*j**2 - j - 3. Let w = -802 - -791. Determine t(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/5, 3\/5, 2 in increasing order.\nAnswer: -2\/7, -1\/5, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*u - 5 = -u, 4 = -4*u. Let o be -4*(-1 - 2)\/i. Let z = -2 - o. Solve -z = -5*q - 27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 218*u - 8331. Calculate p(-33).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -2 (c) 856 (d) -5 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832907760?\nAnswer: 2, 5, 35411347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 + 532*o**4 - 876*o**3 - 182818*o**2 + 875*o + 182286 = 0. What is o?\nAnswer: -533, -18, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211 + -353. Let y = h - -156. Solve 6 = 2*r + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2960375 minutes?\nAnswer: 17762.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let j(i) = i**2 - i. Let t be j(2). Solve t = -2*k - n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3 + -2)*-33. Let v = 30\/6977 - 467519\/13954. Calculate the common denominator of (-1 + 4)*r\/84 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Let u = c - 1. Let i(g) be the first derivative of -2*g**4 + g**3\/3 - g - 5. Calculate i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 434 + -368. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 17*y = 3*y + 37*t + 503, 3*t + 39 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -24 (b) 3 (c) -4 (d) -147 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 2 - (-1492310)\/(-10). What is c rounded to the nearest 1000?\nAnswer: -149000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaagaaagaaaaggggaaa. Give prob of sequence gaaa.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -750 + -15?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(243) + 1)**2.\nAnswer: 18*sqrt(3) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, 3\/4, -4, -13828 in ascending order.\nAnswer: -13828, -4, 0.24, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/2 + 9662*l**3 - 93315587*l**2\/2 - 186756800*l - 140089344 = 0. Calculate l.\nAnswer: -3, -1, 9664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75241395*g*t - 4*g - 154337122*t - 1 wrt g?\nAnswer: 75241395*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482 divided by -13?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -21.95 (c) -0.098 (d) 5 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/360 - t**5\/36 - t**4\/9 - 2*t**3\/9 + 3*t**2. Find q, given that d(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-3)*(-51)\/34. Let c be (s\/(-6))\/((-6)\/27). Suppose -22 - 41 = -7*y. Solve -3 = c*g - y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -266784 divided by -48\nAnswer: 5558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2945074 divided by 267734.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750208 + 324810 = 87*d + 142204. What are the prime factors of d?\nAnswer: 2, 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6852000 to the nearest one hundred thousand.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {o: 2, u: 5, v: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/7, 3\/13, -2\/11, -31.84 in increasing order.\nAnswer: -31.84, -2\/11, 3\/13, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1020781 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16884 is divided by 459?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*p - 17, -2*b + 207 - 216 = -3*p for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4191*a + 176. Let q(j) = 2095*j + 88. Let k(x) = -13*q(x) + 6*t(x). Let n be k(8). Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 1. List the prime factors of 1 + 2\/c*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 96. Let a be 3\/((-6)\/p*-4). Solve a*r - 25 = -5*w, 4*w + 0 = -4*r + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - -10 - 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/155 + 6\/31. Let y be 63060\/(-432) + (-1)\/4. Let z = y - -146. Which is the third biggest value? (a) z (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 4299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -2.1. Suppose -5*t - 3 = 4*h - 5*h, 0 = 2*t + 7*h - 21. What is the biggest value in 7, l, t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 5*b - 35, 2*l + l - b = -7. Is -2\/70737 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146579000 rounded to the nearest 1000000?\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.4, 1, -6995, -5, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9619865 is divided by 3206615.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3848109, 15392441, 34632995, 61569771, 96202769, 138531989, 188557431?\n\"Answer: 3848111*w**2 - w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 7*b + 6. Let w be l(-8). Let m be (-3)\/((-9)\/606) - -3. What is the tens digit of m\/9 - w\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 19*g - 5. Let p be x(-6). Let l be 6*(-6)\/(-9)*p. Solve 0 = l*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:40 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2465 and 517070.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**5\/20 - z**3\/6 + 6*z**2 + 80*z - 5. Let u be 0*2\/4 + 0. Calculate f(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6396\/5 + -1273. Let k = -139\/20 + n. What is the nearest to 2\/5 in k, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 183 in descending order.\nAnswer: 183, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Suppose 6*m = -0*m - 0*m. Is v at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b4b (base 16) to base 5.\nAnswer: 441204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0228 in 5, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*x + (3 + 0 - 2)*(x - 3*x + 5*x)*(-43 - 20 - 12)*(6 + 1 - 10).\nAnswer: 677*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 9*n**2 - 14*n - 102. Let s(q) = -q + 2. Let b be s(3). Calculate the smallest common multiple of b - (-2)\/(4\/10) and h(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 8) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 12. Let f = -13 + l. Suppose f = 2*w - 0 - 4. Solve -c = -w*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (11 - 36) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*k - 182*k = -1575 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 35*l - 53*l. Let y be (-8)\/(-18)*12*(-12)\/(-32). Sort l, 0.5, y in increasing order.\nAnswer: l, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1692 and 752.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/4368*-120)\/((-20)\/(-378)).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(130) + (2*sqrt(130) - sqrt(130)))*6 + sqrt(130))\/(1*sqrt(160)))**2.\nAnswer: 39*sqrt(13)\/2 + 2341\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*n + 2*u - 3*u, 5*n - 5*u = 15. Let f = 2 - n. Let x(a) = 2*a**2 + 5*a + 5. Calculate the remainder when x(f) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 1. Let v(p) = -6*p**2 - 4*p - 4. Let d(n) = 4*a(n) - v(n). Let i(c) be the third derivative of -c**4\/24 + c**2 + 55*c. Give i(d(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 56280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:51 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - d + 294, o + 3*o + 5*d = 381. Let a be (162\/(-15))\/((-1)\/(-5)). Let n = a + o. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7696 by 4.\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by -1209?\nAnswer: -75\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 294*k**2 + 2*k + 3. Let g(x) = -7*x. Calculate g(y(f)).\nAnswer: -2058*f**2 - 14*f - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69406 + -48302. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06501 - 0.065. What is q rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Suppose 23 - 7 = 2*h - 4*p, 3*h = -4*p + 4. Let z be 2\/7 + 36\/21. Let c(x) = -1 - 5*x - 2 + h + z. Give c(y) + 4*s(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in centimeters?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 815015002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l**2 - 79*l**3 - 15*l**2)*((4 - 4 - 6*l)*(-1 + 1 - l) - 2*l**2 + l**2 - 2*l**2).\nAnswer: -237*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/60 + q**4\/8 + q**3\/6 - 11*q**2 + 7340. Let b(y) = -4*y**3 + y**2. Suppose -i + 3 = 2. Let r be b(i). Determine p(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1852 + -5.1852. What is the nearest to 6\/11 in r, 0.21, -0.1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/9, 1\/51, 3, 9\/20?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 2. Let r be n(2). Let k(l) = l - 3. Give k(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.78*-10.1.\nAnswer: -7.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055187 divided by -9?\nAnswer: 117243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + -61 - 13*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s*s**(2\/21)*s))*s**3)**7)**8 assuming s is positive.\nAnswer: s**(688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 176732 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 494, -51, -976, -2293, -4014, -6151?\nAnswer: -8716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (11 - (302 - 285 - (6 - (-1 - 1))))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 421*b**6 - b**4 + 2*b**3 - 48051*b**2?\nAnswer: 50520*b**3 - 24*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 + 37 = 66*o + 617 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 92 = -2*u, 4*g - 3*u - 82 = 102. Let h be 74\/16 - (-48)\/128. Suppose -h*r = 6 - g. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13130*a**3 - 1990*a + 3 wrt a.\nAnswer: 78780*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 9\/5, 0.3, -1, 45, -18?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451467?\nAnswer: 3, 23, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let w be u(6). Let p = -1 - w. Sort -5, 3, p.\nAnswer: -5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5468957, 10937916, 16406875, 21875834, 27344793, 32813752?\n\"Answer: 5468959*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/4 + 13*r**3\/3 - 7*r**2 + 4*r - 64. What is i(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 3*z**2 + 0*z + 0*z**6 + 0*z**4 + 0*z**5 + 1\/3*z**3 + 0 + 1\/70*z**7. Differentiate l(q) wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -355, -947, -1943, -3439, -5531, -8315, -11887?\nAnswer: -16343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -236 - 148. What is the highest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28198.\nAnswer: 2, 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-57)\/(-9))\/((-3)\/(-9)*1). Suppose 24 = -l*a + 62. Solve 12 = -4*h - r - 0*r, 4*r = -a*h - 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1187*r + 1140*r - 2327*r - 71*r**2.\nAnswer: -71*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/2 of a year?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8073520, 8073517, 8073514?\n\"Answer: -3*a + 8073523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2985 (b) -9 (c) -5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (82\/(-12) - 36\/216)*(-232)\/203\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1013\/5 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1870, 3933, 6204, 8689, 11394, 14325, 17488, 20889?\n\"Answer: z**3 + 98*z**2 + 1762*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/504 and 65\/10447101.\nAnswer: 83576808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - c + 353 = 0, 2*x + 0*c - 4*c + 368 = 0. Let i = x - -240. Calculate the remainder when 129 is divided by i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 16 = -3*a. Let h = -18 - -22. Suppose -2*l = 2*t - 42, -2*t = h*l - 7*l + 38. Solve 0*z = -a*z - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 + 340. Let q = 175 - y. Let v = -1.9 + 2.3. What is the third biggest value in q, -39, v?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, f: 7}. What is prob of sequence ffaf?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:23 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80.315789 and 0.4?\nAnswer: -32.1263156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, u: 2, p: 1, y: 1, g: 1}. What is prob of picking 1 y, 1 k, and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3906158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10*(-10)\/(-150))\/(10\/(-39)). Are -3 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 2*p + 4*f, 0*p - f = -5*p + 1007. What is the second derivative of -6*y**3 + 11*y + p*y**2 + 3*y**4 + 19*y - 202*y**2 wrt y?\nAnswer: 36*y**2 - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867\/5*c - 21\/5*c**2 - 246\/5 = 0. What is c?\nAnswer: -41, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1239?\nAnswer: -3717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j + 17. Let k = -24 + 26. Suppose 6*w = k*w + 4. Let z(c) = -c - w + 7 - 5 + 1. Calculate 6*v(t) - 51*z(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88123 and 1876.\nAnswer: 23616964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22131, -33222, -44313, -55404, -66495?\n\"Answer: -11091*o - 11040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 0.89. Let q = f - -0.02. Let m = 0.64 + q. Round m to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 634 - 630. Suppose -37 = v*n + 3*r, -4*n + r + 1 - 26 = 0. Let i(h) = -h**3 - 7*h**2 - 4. Determine i(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5756*u**2 - 1417*u - 1 wrt u.\nAnswer: -11512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47214 and 48006?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 5. Let y be t(-3). Let v be (y + 3)*(-2)\/(-16). Sort 2, -2, v in decreasing order.\nAnswer: 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, 1\/4.\nAnswer: 1\/4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/68*20\/(-15).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:17 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 5. Let u be v(3). Let n be 60\/((-4 - u)\/(-4)). Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 - 1. Suppose -5*p + 4*y - 8*y = -25, 4*p = -y + 9. Let s = -2 + p. Let g be n(s). Which is smaller: g or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/513)\/((-5)\/(-3)). Let v = -60 + 59. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627774?\nAnswer: 2, 3, 7, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4109.9399484?\nAnswer: -4110.9399484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3 (b) -1\/3 (c) -0.3 (d) 0.9 (e) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151965770 - 112081.\nAnswer: -152077851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 7*s = 35. Let y(c) = -c**2 - 9*c - 14. Let p be y(s). What is the nearest to -2 in -14, p, 1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - -646. Let d = -705.9434 + o. What is d rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -24. What is the greatest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = -14*d + 55 + 6 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -255*v**2 - 544*v**2 + 110*v**2 as a + o*v**2 + b*v and give o.\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-248)\/(-868)*(-14)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/36*6\/(-8))\/((-4)\/(-42)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5943481 kilometers in millimeters?\nAnswer: 594348.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/15 + 711*b**2. Let l(h) = 5*h - 5*h + 7*h. Determine l(t(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -1200?\nAnswer: -1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q. Suppose -23 = 4*a + 3*n, -a + 3*n = 2*a - 9. Let x be (-2 + a)*3\/(-6). Let t(r) = -6*r**2 + 2*r**2 + 0*r**x + 2*r**2. Determine t(y(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-42)*15974\/24. Let w = y + -426. What is the smallest value in -2\/7, w, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*z - 0*z - 1 - 0, 2*z + 4 - 8 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 5 + s - 4 - 3 to n + k*s and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -141, -298, -509, -768, -1069?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 + 0)*(3*l - l + 2*l) + 0 + l + 0)*(-2*l**3 + l**3 + 4*l**3) in the form u*l + b*l**4 + i*l**2 + n + f*l**3 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -30*n - 155. Calculate h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2325 divided by 75\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -819, -4, -471, -3 in increasing order.\nAnswer: -819, -471, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297160 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 170. List the prime factors of -8 + 778 + (-2 - q).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2683 = 9*k - 827. Suppose -4*z - 506 = 2*h, 5*h + 2*z + 1723 = 466. Let m = k - h. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*t**2 + 141*t**3 + 49*t**2 + (4 + t**2 - 4)*(5*t - 3*t + t).\nAnswer: 144*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*q = -q - 13, -5*y - q = -7. Let v = 21.961 - -0.039. Let x = 22.3 - v. Put y, x, -0.4 in increasing order.\nAnswer: -0.4, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t = 2*m + 2, t + 8 = 5*m. Let b(d) = -6*d + t*d + 3*d. Let w(o) = 4*o**2. Determine w(b(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 8:11 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.118 - 87.882. Let l = z - -88.000083. What is l rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(9\/(-1)) - 6\/(-9). Let d be -35*(32442\/210 - l\/5). Round d to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxhxhhxxxxhh. Give prob of sequence hx.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 10103380*w\/3 - 12759785928050\/3.\nAnswer: -2*(w - 2525845)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 4. Let a be s(9). What is the second derivative of o**5 + 0*o**a + 20*o - 10*o**5 - 2*o**5 wrt o?\nAnswer: -220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31898 is divided by 9671?\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2 + 7 = -3*w - 5, -4 = 2*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 11.9 (b) 13 (c) 3 (d) -5 (e) 18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62153406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14675 divided by 6.\nAnswer: 14675\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*s + 14 = 0, -5*z - s = -83 + 69. Suppose 23\/4*f**z + 7\/2*f - 3\/4 + 3\/2*f**3 = 0. What is f?\nAnswer: -3, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 455, 452, 449, 446, 443?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5941382 + -5942094.001284. Let h = z + 712. Round h to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*v = -6, -4*g - 3*v = -4*v - 25. Let r = g + -3. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 60 = 5*z. Let y(k) be the second derivative of 3\/2*k**3 - 7\/20*k**5 + 0*k**2 + z*k + 0 + 0*k**4. Find the second derivative of y(f) wrt f.\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 78. Put -1846, o, 0 in increasing order.\nAnswer: -1846, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1\/1379, 31950, -0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01397816011 to 4 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**13)**(2\/3) assuming t is positive.\nAnswer: t**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * 0.342.\nAnswer: 27.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115224041 + 5?\nAnswer: -115224032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*b - 9, 3*y + 1 + 14 = -4*b. Let p be 2*2\/(-8)*(-5 - b). Which is greater: 2\/75 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -23*r**3 + 4*r**2 - 2*r - 1. Let x be d(2). Let p = 582 - 860. Let f = x - p. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 = 3*l + 2*i - 431, -i - 41 = 23*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 1575?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8241, 2 in ascending order.\nAnswer: -8241, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-160))\/(-1*(-3)\/(-408)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -56099 + 56130 - (0 - 14 - 0)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 506855 and 0.4.\nAnswer: 506855.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -676, -718, -788, -886, -1012, -1166?\n\"Answer: -14*k**2 - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*((2 + sqrt(245))*-6*-3 - sqrt(25)\/(sqrt(15)\/sqrt(3)*3)*-3))**2.\nAnswer: 145288*sqrt(5) + 1310769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 680, 675, 670, 665, 660?\n\"Answer: -5*n + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4)*(-12)\/(-10). Let r be 2\/(1*(1 - 3)). Let w be 0 + 0 + (2 - r). Calculate the greatest common divisor of w and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**2)**27*(v**0)**(-36))**(2\/25))**6 assuming v is positive.\nAnswer: v**(648\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:26 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + -2 + 15 + (8 - 26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31c55 + 6b?\nAnswer: -31bd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*w + 223*w - 317*w**3 + 312*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -40*w - 167. What is the least common multiple of b(-8) and 238?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9008047347301 and -1?\nAnswer: 9008047347300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 1010?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*m**2 - 575*m**2 + 290*m**2 - 116*m**3.\nAnswer: -116*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 2209?\nAnswer: -66.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 21*x - 3*x - 624 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 + 34 = b, -3*b - 4*y = -20. Let g be b\/20*(-3 - 40\/(-12)). Factor 3\/5*o - 2\/5*o**3 - 1\/5*o**5 - 3\/5*o**4 + g + 2\/5*o**2.\nAnswer: -(o - 1)*(o + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -21, -42, -85, -156, -261, -406?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/21? (a) -0.05 (b) 0 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 97*m. Let a(p) = 72*p**2 - p - 71*p**2 + 7*p**2 + p. What is n(a(i))?\nAnswer: 776*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 728, -3, -25 in descending order.\nAnswer: 728, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 + -156. Solve 4*r + h = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 1, d: 4, h: 1}. What is prob of sequence hg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 551 + -545. Let b(h) be the second derivative of c*h**2 + 17\/4*h**4 + 3*h**5 - 3*h + 0 - 10*h**3 - 21\/10*h**6. Find p such that b(p) = 0.\nAnswer: -1, 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110\/3 - 36. Let y = 220 - 591. Let n = y + 374. Which is the closest to -9? (a) -4 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = 2*g - 6, 2*g = 2*j. Let m be (42 - (18 + 0))*(-2)\/(-8). Solve -o - m = -g*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-705)\/45 + 16)\/(2\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1954 = 390*y + 14036 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-three fifths of a second?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 5*v)*(-207 - 139 - 285).\nAnswer: 3155*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3670 + 7335 + 12*j - 3665.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -45. Let i(c) = -179. Let t(b) = i(b) - 4*q(b). Let m(f) = -2*f. Let x(u) = 8*u - 6. Let s(n) = -3*m(n) - x(n). Determine -2*s(k) + 10*t(k).\nAnswer: 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -158537.2279765 + 158537. Let z = -0.228 - c. What is z rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i\/(i*i**7))\/i*i)*i**(-7\/9)\/i assuming i is positive.\nAnswer: i**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -5. What is the remainder when -39*((-70)\/15 + 4) is divided by 60\/h*(-12)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (14 + -7 + -2 + 0 + 7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is the millions digit of 109671116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 128b - 4?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 57959 = 92*u - 8*u. Calculate the highest common divisor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1710 divided by 7\nAnswer: -1710\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/1)\/(((-31)\/((-65875)\/68))\/(114\/(-285)))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {m: 1, d: 3, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 15988 in increasing order.\nAnswer: -3, 5, 15988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2354 - 2123. What is the greatest common divisor of 33 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 273?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*l + l + 88 = 0, l + 52 = 2*i. Let g be (-156796)\/14 - 8\/i. Round g to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 76 - 372 + 68 + 228.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982283623.\nAnswer: 982283623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -179 (base 14) to base 2\nAnswer: -100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1323266928 - 1323266080.0003696. Let x = -848 + w. What is x rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 0.1\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 3*v**3 + 2*v**3 + 3*v**2)*(-1 + 2 + 1).\nAnswer: -2*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14314 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(76) + -3 + sqrt(76)*2 + (5*sqrt(76) + 3 - sqrt(76)) + -4)**2 + -4.\nAnswer: -112*sqrt(19) + 3737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 148*b**2 + 654*b + 52. Determine o(-4).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80 or -1536\/19?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((700\/(-25))\/168)\/(14\/(-24)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48707 + 48707 + 3104*h**4 + (-h**2 - 5 + 5)*(3 - 3 - h**2) to the form d*h**3 + z + t*h + w*h**2 + s*h**4 and give s.\nAnswer: 3105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5750616*-40\nAnswer: 230024640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**2 + 13 - 13 - 2*i**2. Let s(l) = 0 + 0 + 2*l. Determine s(b(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.91422 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**2 - 7 - 1\/3*q**3 + 27*q. Let w(u) be the first derivative of c(u). Let s(k) = -3*k + 4. Calculate w(s(i)).\nAnswer: 6*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -6 (b) -2 (c) 2\/355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 7*r + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (400\/160)\/(5\/(-22)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 5*a**2 + 3*a + 5. Let l(w) = w**3 - w**2 + w - 5. Let d(z) = z**3 + 7*z**2 + 7*z + 6. Let u be d(-6). Let i be l(u). Give k(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11333.3 * 8.\nAnswer: 90666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -117*x**2 + 7367654 + 48375314 + 464*x**2 - 2*x**3 + 799*x**2 - 437772*x + x**3 = 0.\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 12:48 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21*(8\/(-12) - -2). Let s be (-24)\/o*42\/(-9). Let l be 1 + -3 + (s - -1). Solve -l*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.19, -0.0987, -5, 6?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 28. Let n be p(-17). Calculate the greatest common factor of n and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and 2.49194.\nAnswer: -82.23402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 - (-11 + 9 + -22 + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Suppose -6*s + 34 = -s + 3*x, -n*s - 3*x + 24 = 0. Suppose -3*k = -k - 4. Calculate the least common multiple of k and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -12.4. Let q = 11.800237 - a. What is q rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 12327315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 1475581216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1644 divided by -411\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64568295 a multiple of 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/10 - 30\/(-75). Suppose -s - 6*z + 4*z = h, -s - 3*z = 15. Sort s, -5, -2 in descending order.\nAnswer: s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(108\/32)\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 2*d - 4*d + 2*d in the form f*d + g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-441))\/((-75)\/105)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 427 + -422. Sort g, 0, 94, -3 in decreasing order.\nAnswer: 94, g, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.0005, -4, 46\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x + 0*x**5 + 0*x**4 - 4\/7*x**7 - 2\/3*x**3 + 2 + 0*x**2 + 0*x**6. What is the third derivative of p(k) wrt k?\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4 = -v, 10 = -2*v + 2*g + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -233*c**2 + 953*c + 6. Let w be k(4). What is the biggest value in 2\/29, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46.1 + 46. Sort 5, -2\/11, n, -4.\nAnswer: -4, -2\/11, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.95 and 56?\nAnswer: 277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - 3*f**3 + 3*f**3 - 1 + 1 - f**5 + (0*f**2 + 2*f**2 + 0*f**2)*(-f**3 + 3*f**3 - 3*f**3) + (5*f**4 + 13*f**4 - 8*f**4)*(375*f + 72*f - 219*f).\nAnswer: 2279*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/(1\/4). Let q be (3\/y*-2)\/(9\/12). Solve 4*h = j - h - 30, -j - 15 = q*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133 + -128. Suppose -z*o + 30 = 3*f + 12, -o + 1 = -2*f. Solve 2*l - l + f = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 291*q + 24. Let u(h) = 1163*h + 97. Let l(t) = 2*u(t) - 9*y(t). Let i be l(6). What is i rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229100 divided by -4582\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 3. Let p(n) = 5*n + 36. Let t be p(-5). Let o be t + -14 - 1*-10. Let r be y(o). Solve r*g = -0 - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 40 = -5*b, -3*b - 5*x = -7*x - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953*s + 960*s - 98 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12 - 13\/(-4). Let r = 5 - j. Let g be (1\/(-2))\/((-3)\/(-6)). Put -3, r, g in descending order.\nAnswer: r, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a**2 + 10*a**2 + 4*a - 2*a + 1. Is 8 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721076?\nAnswer: 2, 3, 7, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from iiaiaafi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 641 and 0.45.\nAnswer: 641.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 6*q - 2. Let d(x) = x + 2. Let k be d(-2). Differentiate q + 0*h + k*h - h**2 with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 11 + -8 + 3 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3582\/(-104))\/(-9) + -3 and 33\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -11) + 12 + 2 + -8 - 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 62 + 44 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-1*3))\/((-6)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 = -6*p + 1630. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 + 2*j - 3. Let l be s(2). Let f(g) = 29883*g - 14947*g + 17 - 14939*g. Let r(o) = -o + 6. Give l*r(a) + 4*f(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*o**3 + o**2 - o + 1554.\nAnswer: -357*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 - 13 - 2\/((-2)\/(-7)). Let h be p\/(-8)*(415 - 3). Let u = h - 13. What are the prime factors of u?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 5876?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Suppose -t + 56 = -r*i + 16, -3*i = 3*t - 111. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/5 + 4*l**4\/5 + 4*l**3\/5 - 2*l**2\/5 - l - 2\/5.\nAnswer: (l - 1)*(l + 1)**3*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + 0)\/((-3)\/2). Let r be x\/8 - 5\/(-4). What is the smallest value in 1\/2, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 11, 17, 23, 29?\n\"Answer: 6*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 7*r**3\/2 - 4*r + 3. Let y(l) = -10*l + 11*l - 2*l. Determine w(y(j)).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -3 - (-13 - -10) - (-20 - -12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let h = 1.442 + -2.442. Which is the closest to 1? (a) 0.01 (b) h (c) 1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*s - 183*s + 387 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 32*l = 27. Let h(g) = -24*g + 10*g + 2*g - l + 6*g. Calculate h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3178, -6354, -9530, -12706?\n\"Answer: -3176*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (31 + -15 + -3 + 8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -15. What is the nearest to p in -2, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 27111206?\nAnswer: 27111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*a**4 + 72153*a**3\/2 - 53244387*a**2\/2 - 147021537*a\/2 + 40082031\/2 = 0. What is a?\nAnswer: -6677, -3, 1\/4, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.058, 0.5, -4\/5, 44, 2\/5, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -15 + (10 - (-1 + 5)) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7460 - 52219\/7. Put -8, r, -1.2, -4, 2 in decreasing order.\nAnswer: 2, r, -1.2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143)\/44*(61 - 65)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446 is divided by 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.201 - -33.79841?\nAnswer: -332.40259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4701*b - 40094 - 35756 = 2651*b for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -463?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 12784 = -7*z + 147*z - 45*z for z.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.8 and -92?\nAnswer: 87.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2. Let o(c) = 2615*c**2. Calculate w(o(m)).\nAnswer: -20514675*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 53, 196, 481, 956, 1669, 2668?\nAnswer: 4001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -178, -8658, -3 in descending order.\nAnswer: -3, -178, -8658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1563, 1568, 1575, 1584?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - 0.18. Suppose 5*d + 4*z - 4 = -0, -2*d + 4*z = 4. Let f = 254483 - 254483.16. Which is the closest to t? (a) 4\/7 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -5. Let l be -3 + (b - -8354) + 1. Let d = l - 14349. What is d rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -73.5. Let z = x - 32. Which is the closest to 0? (a) -2\/13 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 51 = 5*o. Let k = 22 - o. Suppose 3 - k = 2*l. Let q(v) = -7*v**3 + 2*v + 1. Give q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(24\/336) + -2 + -81.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36619 (base 14) to base 12.\nAnswer: 64abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232974921523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.274879 kilograms?\nAnswer: 4274879000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 127*q**2 - 764*q + 264. Determine u(69).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-292)\/657*((32\/4)\/104)\/(2\/(-18))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j. Suppose 4*k = 5*v - 31, -2*v + 6*k - 3*k + 11 = 0. Suppose 5*a = v*a - 8. Let p(o) = -o + 4*o - a*o + 5*o. Give w(p(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*l**2 - 171 - 49*l**2 + 161)*(l - l + 2*l + 3*l + 0*l - 2*l + (-2 + 0 + 3)*(4*l - 3*l + l) - 2*l + 7*l - 4*l).\nAnswer: 54*l**3 - 60*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318811, -317630, -316449?\nAnswer: -315268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23325482 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 1. Let f be o(4). Let n(t) = -f*t + t + 6*t. Let k(d) = 192*d - 1. Let x(g) = -2118*g + 11. Let l(m) = -22*k(m) - 2*x(m). Calculate l(n(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 3. Let l(t) = -t**3 - 4*t**2 - 3*t + 4. Let n be l(-3). Suppose n*y + 9 = -11. Sort y, w, 0 in increasing order.\nAnswer: y, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (1400\/66)\/(-5)*-3.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2159, -4320, -6481, -8642, -10803?\nAnswer: -12964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + t**2 + t**2 + 16*t**2 to the form d*t**2 + a + c*t and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.4 - 8208.\nAnswer: -8201.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 66 and 176.793.\nAnswer: 242.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 323972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.208765 + 3.2271. Round i to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 894, 1938, 3378, 5202, 7398, 9954, 12858?\nAnswer: 16098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 36. Suppose i + 5*g = 149, 3*g = 4*i - 523 + f. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 24*l**3 + 2*l**2 - 1. Let t = -321032 - -321046. What is the remainder when q(1) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 205, 404, 603, 802, 1001, 1200?\n\"Answer: 199*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2380 and 1468 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 0*i**4 - 2*i**4)*((4 - 22 - 5)*(3 + 0 - 2) + (-2 + 4 - 3)*(3 - 3 - 1)) + (3*i - 3*i - i)*(2*i**3 + 3*i - 3*i).\nAnswer: 42*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16873569 is divided by 5355.\nAnswer: 5319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138 - 300. Let a = 184 + i. Let g be 5\/(-6)*2*-3. What is the second biggest value in 0.5, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 12 + 26)*(4 - 5 - 2*n**2 + 2) to the form c + r*n**2 + s*n and give c.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 8*w**5\/5 - 5*w**4 + 6*w**3 - 7*w**2\/2 + w + 40. Factor x(c).\nAnswer: (c - 1)*(2*c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1174814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6)*(0 + 3 + z**3 - 2).\nAnswer: -z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**3)\/v)**42)**40\/((v**(2\/9)\/v)\/(v\/((v\/(v\/(v*v**2*v)))\/v)))**(-1\/44) assuming v is positive.\nAnswer: v**(-120959\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81350421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2149824*n**2 - 754763*n wrt n?\nAnswer: 4299648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 20 = -5*m, 3 = -3*m + d + 15. Solve 5 = m*y - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1450*g**2 + 6*g + 285. Let r(b) = -1452*b**2 - 8*b - 287. Let v(k) = -4*m(k) - 3*r(k). What is the first derivative of v(u) wrt u?\nAnswer: -2888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 6 + 8*c - 5.\nAnswer: 8*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -16402, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p, 3*r - 9 = -0*p + p. Suppose 8 = r*o - 82. Let x = o - -8. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-19)*1*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10669, -10757, -10847, -10939, -11033, -11129, -11227?\nAnswer: -11327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 + 6*j**2 + 5*j - 5. Let v(i) = -i**3 - i**2 - i + 1. Calculate -p(z) - 5*v(z).\nAnswer: 10*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(6*(sqrt(245) - sqrt(245)*1) + -3 + sqrt(245) + (sqrt(245) + 1 + sqrt(245) - sqrt(245)))**2)*-2*-6.\nAnswer: -23580 + 1344*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134239 = 14*o - 228525 - 71418. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 6. Suppose -24 = -u - 5*n, -2*u + 3*n = -0*u - 22. Let t be a(u). Solve -4*f + 0*f + t = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.98 and 0.17.\nAnswer: 0.1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (162\/(-105))\/(208\/50). Let n = g - 3\/52. Let p = -66.9 + 64.9. Which is the third smallest value? (a) n (b) p (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 10*n - 56 = 40*m, 0 = 3*m + 4*n + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.89, -1\/3, 4 in decreasing order.\nAnswer: 4, 0.89, 0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/2)*(a\/a**1*a)\/a)\/((a\/(a*a**(2\/7)*a))\/a*a*(a*(a**(3\/7)\/a)\/a)\/a))**(-5\/7) assuming a is positive.\nAnswer: a**(-375\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:31 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 5*h + 0*h)*((1 + 1 - 1)*(-25 + 12*h + 25) - 2*h + 3*h - 5*h)*(-43 - 20 + 23)*(2*h**3 + 4*h**2 - 4*h**2).\nAnswer: -4480*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4341658 divided by -3\nAnswer: -4341658\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267532962?\nAnswer: 2, 3, 44588827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 3.96 (c) 2\/17 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o. Let d(f) be the first derivative of -2*f**3 + 4*f - 187. Determine d(l(x)).\nAnswer: -24*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 91. Let g be (-21 - u) + 1*32900001. What is g rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/2 + 33\/8*w - 3\/8*w**2.\nAnswer: -3*(w - 7)*(w - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 5*t**2 + 3*t + 3. Suppose 2*p - 6 = -3*q, p + 4*p - 5*q = -35. Let b be u(p). What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 25*k + 2*y + 38 = 0, 31 = 5*k - y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t**2 + 2*t**3 + 16*t**2 + 17*t**4 + (2*t**4 - 2*t**4 - t**4)*(6 + 15 - 5) to f + g*t**2 + c*t**3 + p*t**4 + y*t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:21 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -950 - s**2 + 3*s**4 + 0*s**4 + 949 + 3*s to w*s**4 + j + o*s**3 + t*s + x*s**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 208047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 - 149. Solve -5 - c = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**2*t - m**2*y - 9*m*t*y**2 - m*t - 339*m + 49*t*y**2 + 3 wrt y.\nAnswer: -m**2 - 18*m*t*y + 98*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v - 101. Calculate the remainder when 2138 is divided by i(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofq when three letters picked without replacement from cpfqkcoqp?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*x**3 + 2*x**4 - 3*x + 42*x**3 + 42*x**3 + 24*x**3 - 36 - 2*x**2 to the form i + c*x + v*x**3 + k*x**4 + s*x**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 30. Calculate the remainder when 351 is divided by u(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32233994895001*j**2\/7 - 102194982*j\/7 - 81\/7 = 0. Calculate j.\nAnswer: -9\/5677499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3965)\/(-40) - 5) + 3\/(-24). Solve m*q - 88*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l - 10. Let t(j) = j**3 - 36*j**2 + 68*j - 5. Let n be t(34). Calculate y(n).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 9*d**2 - 2. Let a(y) = y**3 + 9*y**2 - 2. Let h(m) = -3*a(m) + 2*c(m). Let l be h(-9). Suppose -l*j = 3*j - 40. Solve p - j = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1145*w**4 + 0*w**2 + 0*w**2 + 3336*w + 1757*w**4 wrt w?\nAnswer: 7344*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60.5 * 0.14\nAnswer: 8.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4422 and 52327?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - (63\/56 + 51535\/440).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvsvvsvsv. What is prob of sequence vvss?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32977.69 rounded to the nearest ten?\nAnswer: 32980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a + 5*a**2 + 6*a - 4*a**4 + 3*a wrt a?\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.206662 rounded to 1 dp?\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.380757 minutes to seconds.\nAnswer: 502.84542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -4*f + 5*x, -4*f - 2*x - 27 = -233. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.62\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 29. Let u = k - 16. Suppose -u*o + 5*c = -161, -5*c = -o - 0*c + 47. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 369603*w**2 + 234468*w + 111556\/3.\nAnswer: (1053*w + 334)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -24650 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/35*(-189)\/(-432)*-2?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -40?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 221340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueae. Give prob of picking 1 e, 1 u, and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**2 - 601*z + 180800. Determine w(-179).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-450)\/(-54) + 3)*-252. Do g and -2857 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3))**(-6\/11)\/(p\/(p**3\/p))**7 assuming p is positive.\nAnswer: p**(81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:21 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 275147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -271*g + 2475. Let l be t(9). Solve -44*w - 40 = -l*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 1080*h**4\/23 + 1582*h**3\/23 - 5460*h**2\/23 - 1318*h\/23 + 420\/23 = 0.\nAnswer: -3, -2\/5, 5\/27, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*y + 445 + 624 + 275 = 0 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most -2316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 58*u + 2 + 1250*u**2 - 119*u + 2 + 57*u - 1249*u**2. Let h = -1 + 3. Let y(c) = -c + 0*c - c**h + 1 + 2*c**2. Calculate -f(m) + 3*y(m).\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -0.29 (b) 11\/14 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19931298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261808 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -132, 0.5, 1, -0.2 in descending order.\nAnswer: 1, 4\/7, 0.5, -0.2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 309, 4, 1, -8, 16 in decreasing order.\nAnswer: 309, 16, 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -31*d - 21. Let i be z(-2). Suppose -i*m + 1319 = -40*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3.0003. What is u rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-42) - (169\/(-39))\/13. What is the second smallest value in u, 5\/6, -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*b + 114 = 504, 0 = a - 3*b - 177. Let u be -589 - (-7 - (-66)\/6). Let l = -572 - u. Calculate the greatest common divisor of a and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-3\/17)*v*v**(-2\/65) assuming v is positive.\nAnswer: v**(1981\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 476191*y + 3. Determine s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80.26 - -80. Let y = 0.66 + m. Sort y, -3, -0.3, -2\/3.\nAnswer: -3, -2\/3, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17430127441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281\/25985 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 899620 and 17980?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 12. Let s be x(10). Suppose 38 = 4*r - s*t, 0 = 5*r + 2*t + 1 - 62. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -0.0359163?\nAnswer: 3.9640837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-16)\/14 - 160\/80?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/1374314 and -99\/66232.\nAnswer: 5497256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - -11 - -3 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8307 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, 6\/13, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 + -631 - (4 - (1 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:14 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 3*m**2 - 4*m - 7. Suppose i + 30 = -9*i. Let x be p(i). What is the third derivative of -v**4 + v**4 + 9*v**x - 4*v**2 + 19*v**5 wrt v?\nAnswer: 1680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18198*n = -18201*n + 3*z - 21, 5*n = -3*z - 35 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 16*r - 8. Let o be p(-17). Suppose -o = -c - 12. Let t(f) be the third derivative of f**4\/24 + f**3\/2 + 6*f**2. Determine t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65928226681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**(2\/27)*l*l)*l)\/l)\/(l\/l**(-6\/13)*l))\/(l**(-10))**(-1\/6))**(-2\/11) assuming l is positive.\nAnswer: l**(4354\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - o**2 - o. Let j(v) be the third derivative of 139*v**2 + 1\/6*v**4 + 0 + 0*v - 1\/30*v**5 - 1\/6*v**3 + 1\/40*v**6. Calculate 2*h(x) - j(x).\nAnswer: -x**3 - 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-1 - 0)) + 28. Let a = h - 61. Let t = -20 - a. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + 1 + sqrt(275) - (sqrt(275) + 1 + sqrt(275))*2) + (1 + (sqrt(275) - 1*sqrt(275)) - -6*(sqrt(275) + 0)) + 5)**2.\nAnswer: -4982 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:36 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32864 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 232199 less than 0.06?\nAnswer: -232198.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a, -3*z + 1 = 2*a - 1. Calculate the highest common divisor of 24 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 27. Let b be (120\/(-35))\/(14\/(-49)). Calculate i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/4 - 5*g**3\/3 - 3*g**2 + 3*g + 25. Let u be o(6). Is (3\/(18\/382))\/(1\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 7.36. Let i = -0.6 - d. Let l = i - 0.1. What is the nearest to 1 in -0.1, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-390)*(-16720)\/(-44)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157872 by -1012.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 1. Calculate j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 40. Let q = 34 + t. Let c = q - 14. Solve 6*r + 20 = c*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((81\/(-9))\/(-9))\/(5\/(-85)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 77*j = -2*v + 185*j + 1569, 2*v - 5*j = 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((87 - 97) + 159\/18)\/(1 + 0).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + -1 + 0 + (-125 - (89 + -229))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -55. What is the greatest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14776*b**3*g**2 + b**3*g + 358*b**3 - 505351862*b**2*g**2 wrt b.\nAnswer: -88656*g**2 + 6*g + 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74717932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9852.\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {w: 4, t: 1, o: 6, a: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmfm when four letters picked without replacement from {f: 4, x: 10, m: 2, w: 1}?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5+-5993\nAnswer: -5988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 4*p**3 - 5*p**3)*(-150 - 39 - 11)*(0 - 3 + 5)*(0*p - 4*p + 2*p).\nAnswer: -8800*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1167976, 1167896, 1167816?\n\"Answer: -80*x + 1168056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, w: 3, p: 1, u: 2, i: 3}. Give prob of sequence uu.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1094*c**2. Let p(v) = -69473*v**2. What is p(w(j))?\nAnswer: -83147787428*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3926024, 7852152, 11778282, 15704414?\nAnswer: 19630548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o**3 + 23*o**3 + 102 - 3*o + 0*o.\nAnswer: -6*o**3 - 3*o + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/32*88 + (-6)\/(-4). Let h be 2\/(-6) - 7\/(-3). Suppose -n*k = h*k - 18. Which is the nearest to 1? (a) -3\/8 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.013, -5.84, 1\/5, 4 in increasing order.\nAnswer: -5.84, 0.013, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:07 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5.4. Let i = -0.6 + -2.9. Let h = -1.5 + i. Which is the nearest to 0? (a) q (b) -1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94d2b (base 16) to base 14.\nAnswer: 11c215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 729530\/7 or 104219?\nAnswer: 104219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 679 and 5.\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 677767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**5 - 18755*m**4 - 125739*m?\nAnswer: -80*m**3 - 225060*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 31*r**2. Let k(c) = -11*c + 9*c + 9*c + c. Calculate x(k(w)).\nAnswer: 1984*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-16)*1*8. Determine o, given that d + 20*o + 16*o**2 - 2 + 3 - 1 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-32)*-4*(-1)\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 0.71.\nAnswer: 12.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5811144 rounded to 1 dp?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/12*(-20)\/(-6) - -107. What is the third derivative of -62*j**3 + 104*j + q*j**2 - 104*j - 30*j**3 wrt j?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 35 = 140266*o - 140271*o, 4*q - 21 = o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and -355.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-30))\/(-12)*(-2)\/10*(-120)\/(-30).\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8239 + 8311 - 416*k**2 - 16553 - k.\nAnswer: -416*k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-1050))\/((5\/5)\/(-2))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/7 - 236*a**3\/7 - 6200*a**2\/7 + 46128*a\/7 = 0. What is a?\nAnswer: -62, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 2 + 57*g as h*g + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19943 + 19942.9997586. What is c rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728925367?\nAnswer: 3, 7, 23, 5649949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 256 = 184. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4720 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31704120 divided by -2520.\nAnswer: -12581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - p - p + 4 + (1 + 3 + 5)*(-4*p - p + 4*p) to the form y + r*p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 + 2*p**2 + 2*p + 2. Let n(j) = j**3 - j. Let z(o) = n(o) + t(o). Determine z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c*c*((c*c\/c**(2\/25))\/c)\/c))*c)\/c)**(-36) assuming c is positive.\nAnswer: c**(-2628\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 40*q**3 - 6*q**2 + 6*q + 2. Let j(o) = -41*o**3 + 5*o**2 - 5*o - 2. Calculate 5*g(m) + 6*j(m).\nAnswer: -46*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295416533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -882, -929, -976, -1023, -1070, -1117?\n\"Answer: -47*s - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*i + 8*v + 116440, 0 = -7*i + 4*v + 163025. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97 and 22.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*n = -502*n + 7. Let v(y) be the second derivative of y**5\/20 + 2*y**4\/3 + y**3 - 5*y**2\/2 + y. What is the remainder when v(n) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*sqrt(77)*-1 - (sqrt(77) - sqrt(77)*1*-2))\/((sqrt(70) - ((sqrt(70) - (1*sqrt(70) + sqrt(70)))*-4 + sqrt(70)))\/sqrt(10)) + -5.\nAnswer: -3*sqrt(11)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 75?\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2779 = -2*j - 0*k + 2762, -3*j - 2*k + 0*k - 26 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**3\/3 - s**2\/2 + s + 6. Let n(k) be the first derivative of -k**3 + 23 - 5\/2*k**2 + 5*k. Determine n(c) - 5*t(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706772.60638 + -1.2?\nAnswer: 706771.40638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 466 + 710. What is the greatest common factor of v and 441?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44584871.\nAnswer: 44584871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 95.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 7559 = -10*s + 5*h, 3*h = -9. Is s a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p. Let c = 16 - 12. Suppose c*q - 7 = -3*o - 0, 3*o - 4*q - 47 = p. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 12 - 1\/15*v**3 - 1\/10*v**2 + 1\/50*v**5 + 0*v**4 + 1\/150*v**6 - 2*v. Let i(l) be the first derivative of m(l). Factor i(t).\nAnswer: (t - 1)*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**14\/(m\/m**(-1\/3)))\/(m**0*m**(-1)\/m))**49)**(-7\/3) assuming m is positive.\nAnswer: m**(-15092\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19230*b**6 + 678*b**2 + 749*b**2 + 40*b**4 + 19232*b**6 - 1 wrt b?\nAnswer: 240*b**3 + 960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -1.04. Let l be (27 - 13 - 32)\/((-30)\/4). Which is the nearest to 2\/5? (a) u (b) 3\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648927504 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/16 - 35*z**4\/6 - 545*z**3\/24 - 135*z**2\/4 - 168*z. Suppose m(i) = 0. What is i?\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.93986 and -295.\nAnswer: -1162.2587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2\/9, 2\/5, 7 in ascending order.\nAnswer: -11, -2\/9, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let o be r(0). Let k be 21\/(-9) - (4 - 50\/15). Put k, 0, o, -4 in descending order.\nAnswer: o, 0, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)*2\/(-10). Let z = 235 + -234.7. Sort y, z, -3.\nAnswer: -3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1592, -3180, -4766, -6350, -7932?\nAnswer: -9512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 4. Let o be d(-3). Let s = 19 + -17. Suppose -s = -2*q + 8. Solve 0 = q*h - 13 - o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-21 - (-8337)\/399)*458\/16.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151427247*y - 687985363?\nAnswer: -151427247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 796*a*n - 2*a + 82*n - 2 wrt a?\nAnswer: 796*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64861818.\nAnswer: 2, 3, 7, 269, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*i + 16 = 0, 0*x + 2*x = 4*i + 18. Let n be 5 + (-1 - (x + 4)). Let c(w) = 18*w**2 - 1. What is c(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.82 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n + 2*i - 10, -4*n + 12 = -4*i. Calculate the lowest common multiple of ((-9)\/(-2))\/((-1)\/(-2)) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/2 - 211*r**4\/2 - 9*r**3\/2 + 1899*r**2\/2 = 0.\nAnswer: -3, 0, 3, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19860 and 5958.\nAnswer: 59580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 9. Let t be z(0). Suppose t*d = 1937 + 817. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*y - 27, -3*y = 4*x - 6*x + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k + 42*k = 270. Let i = 510 - k. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 151?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.22578 to the nearest integer.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2612001 and 69\/1243810.\nAnswer: 26120010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l + 6464. Let f(i) = -2*i. What is p(f(h))?\nAnswer: -16*h + 6464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38269 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5162 + 2?\nAnswer: -5160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 55?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*-1 + (sqrt(108) - (-2 + sqrt(108))).\nAnswer: -5*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:12 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q + 3. Let z(k) = 6999*k - 8964. Let i(r) = -6*s(r) + z(r). Differentiate i(o) wrt o.\nAnswer: 7023","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 10)*(-6 + 9). Suppose 0 = -g*t + 31*t. Solve -5 = 5*z - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7624, -15249, -22874, -30499, -38124?\nAnswer: -45749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 11:43 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-70)\/30 + 1\/3. Let x = -10 + 12. Which is the nearest to -1? (a) -0.5 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 88\/3*q + 12*q**2 + 128\/9 - 4*q**4 - 64\/9*q**3 = 0.\nAnswer: -16\/9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 1214*o**3 + 0*o + 6 - 1233*o**3 + 3*o**2 - 2. Let n(g) = -g**2 + g - 1. Determine -j(v) - 3*n(v).\nAnswer: 19*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261772.25499774 - 261615.255. Let t = 130 - -27. Let m = t - u. What is m rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 477 + 2102. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -71, -130, -203?\n\"Answer: -7*x**2 - 24*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496\/1141 + -1\/163. Let s = -19858 - -19858. What is the nearest to x in s, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/24 + (19035\/200)\/81)*45\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5623143 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 ten millions digit of 756121588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3377621 divided by 5.\nAnswer: -3377621\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -247 + 114. Let o = b + 4127\/31. Suppose -4*g - 5 = c + 3, c - 5*g = 10. Is o < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 618621*t + 1641705.\nAnswer: 618621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*b - 40 = 0, 4*d - 3*b - b - 72 = 0. Let z = -79 + 22. Let f = z - -137. Calculate the highest common divisor of f and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/50)\/(0 - 1\/20). Suppose 4*z + d = a, d - 8 + 4 = 0. Calculate the greatest common divisor of 3 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -30, 4, 1\/6, -21\/8 in decreasing order.\nAnswer: 4, 1\/6, -2, -21\/8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*s + 28, o + 2*s + 6 = -0. Suppose -o*k = -3*y - 103, 2*k - 5*y - 41 = k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eueeuuu. Give prob of sequence ueeu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)*(j*(j\/j**(-5))\/j)\/j)**(-2\/27) assuming j is positive.\nAnswer: j**(-14\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 273 = -2*c. Suppose -p + 5*l = 15 - 43, -l = 4*p - c. Let n(a) = -3*a - 1. Calculate the remainder when p is divided by n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h**4\/h)\/h))\/h)\/h*h*h**(3\/2)\/h*h**(-1\/7)\/h**0*((((h\/(h\/(h**(-1\/2)\/h)))\/h)\/h)\/h)**(14\/3)*h\/(h\/h**(2\/5))*h*h**(5\/7)*h assuming h is positive.\nAnswer: h**(-1297\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/5, -4\/9, -892, 4 in ascending order.\nAnswer: -892, -4\/9, -2\/5, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:09 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 4*u**3 + 10*u**3 + (-5*u**3 + 8*u**3 - 12*u**3)*(2 + 0 - 4) + (-2*u - 3*u + 12*u)*(-2*u**2 - 2*u**2 + 3*u**2).\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28914 is divided by 877?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -84348371186 - -1\nAnswer: -84348371185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78120 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1234? (a) -1 (b) 8 (c) 6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:26 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30345?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27985431 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + -2 - 1)*38*2\/(-8) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.0273556 and 20.\nAnswer: 16.9726444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37070398 is divided by 70476.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 65c22?\nAnswer: -65c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 10 - 6 = 0, 2*d + f - 11 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*f + 7*f. Let n = -8 - -11. Sort n, 0, f in decreasing order.\nAnswer: n, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 321 = -679. Suppose 2*n = 5*o - 3*n - w, 3*n - 138 = -3*o. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(18\/4*(-2)\/(-6)). Let o be ((-6)\/l)\/(4\/(-2)). Let d be 16\/(-9) + (-4)\/18. Which is the nearest to 0? (a) d (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 156 = -17*s. Let t(m) = -m**3 - 11*m**2 + 13*m + 12. What is t(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 72 = -4*x. Let j = 4963 - 4784. What is the remainder when j is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 6.532?\nAnswer: 9.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, j: 2, d: 4, c: 3, p: 1}. Give prob of sequence jpcx.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1365728\/312)\/(-134))\/((-4)\/(-6)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 + -4. Suppose 3*y - 2*y = 0. Let l = 0.22 + 0.08. Which is the closest to y? (a) z (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -260 - -263. Suppose 2*w - t*f + 8*f = 71, -91 = -2*w - f. Is 46 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + 4 - 5*(sqrt(17) + -5))**2 - ((-5 + -3 + sqrt(17))**2 + 3*sqrt(187)\/sqrt(11)).\nAnswer: -219*sqrt(17) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5071*o + 1632872. What is r(-322)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - v + 6 = 16, -5*r = -5*v + 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441 (base 8) to base 15.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/5360 and 59\/140.\nAnswer: 37520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -af4dd + 5?\nAnswer: -af4d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -113 and -7040 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 138 = s, s + 4 = 1. Let a = x - -13. Let q be 12\/30 + a\/55. What is the third smallest value in 1\/4, q, -0.01?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -29*z - 30. Calculate f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 = 0, -2*o + 490 = 2*a + a. Suppose 2*q + 398 = -a. Let t = -169 - q. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/2 + 4957701*v\/2 + 2478852 = 0 for v.\nAnswer: -1, 1652568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2*p)\/(p*p*p**(-3\/2)))\/(p**(-2\/7))**(-3\/19))**(-11\/4) assuming p is positive.\nAnswer: p**(-7183\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6 - 1\/(-3)) + 0\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f + 6. Let c(r) = 2*r**2 - 3*r - 848. Calculate c(g(y)).\nAnswer: 98*y**2 - 147*y - 794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343266 (base 13) to base 12.\nAnswer: 4b6940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 + 7 = 0. Let f = 0.14 + -6.14. Let h = f - -10. Which is the third smallest value? (a) h (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + (sqrt(17) - (sqrt(17) + 0))) + -4*sqrt(136)\/sqrt(8).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-808)\/16)\/101*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-144))\/(6\/246). Let x = z + -1\/16. Find a, given that x*a**2 + 2\/9 + 4\/9*a = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l - l**2 - 15*l**4 + l - 4*l**3 + 4*l - 12*l to g + w*l**3 + v*l**2 + o*l + u*l**4 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.493 times 5?\nAnswer: 2.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006045568 minus -1?\nAnswer: 2006045569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r**2 + r - 6. Let j = 3405 + -3404. Let w(y) = y**2 - 1. Determine j*o(i) - 4*w(i).\nAnswer: 11*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6550 is divided by 1627?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/19))\/z*z**(-3\/2)*((z*z\/z**(-1\/4))\/z)**(-28))\/((z**(-2\/3))**38\/(z**(2\/15)\/z**(-3))) assuming z is positive.\nAnswer: z**(-4519\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f + 46 = 38*f + 8. Do f and 2\/48441 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 6*z + 1. Let m be r(-4). Let h = 0 + m. Let f(o) be the second derivative of o**3\/2 - 13*o. Let w(g) = -10*g - 1. Give h*f(b) - 2*w(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71046 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 84432 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: Put -0.01, -0.4, -0.03 in ascending order.\nAnswer: -0.4, -0.03, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4894 - -4893.910032. Let f = -0.04 + 0.13. Let t = i + f. Round t to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17340 and 255.\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**2. Let a(m) be the first derivative of -9*m**2\/2 + 13*m + 4300. Give a(w(h)).\nAnswer: 81*h**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.85699 to 1 decimal place.\nAnswer: 66.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/2 - -69\/10. Let c be (-4)\/(-6) + (-90)\/(-27). Let w be 2\/(-8) + (-1)\/c. Is o less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2. Let d be o(-4). Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:30 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2436 = -4*y, -5*x = -0*x + 4*y - 4060. Let g(b) = -2*b**3 - 14*b**2 + 26*b - 62. Let k be g(-9). What is the greatest common divisor of k and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593 = 23*d + 136*d + 997 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 6*d - 1. Let u be h(3). Calculate the greatest common divisor of u and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (3 - (1 - -8))) + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, h: 1}. What is prob of picking 2 r?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/6335 and -107\/101360.\nAnswer: 101360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*0 - -4. Let u be (-3)\/(-6) + (-3)\/(-2). Suppose o*b = -2*s + 120004, -u*s - 2*b - 59998 = -3*s. What is s rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, j: 5, s: 1, a: 3, c: 1}. Give prob of sequence sy.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1873+14181.089703\nAnswer: 12308.089703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 110*a**2 + 118*a**2 - 225*a**2. Let m(c) = 7*c + 15*c - 7*c. What is m(g(k))?\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -5*o. Let n = 4 - 1. What is the derivative of -t**4 - o + n - 2 wrt t?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -474353 in descending order.\nAnswer: 1, -4, -474353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 - 106. Let y(c) = -c**3 - 6*c**2 + 6*c - 4. Let j be y(-7). Solve 4*l + u*f = -28, -j*l - 2*l - 7 = -2*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 158?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*x**3 + 61 - 61 + 147*x**3 - 359*x**3.\nAnswer: -326*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 68 = 4*l, l + 97 = -n + 6*n. Let f be -3 - (-2 + 3 + -122). Let b be f\/3 - 2\/(-3). Calculate the highest common divisor of b and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4911788887 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 412, -4, 16388.\nAnswer: -4, 412, 16388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1526*q + 18207. Calculate z(12).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130601436 + 14?\nAnswer: 130601453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 9554*x**3 - 4867*x**3 + 3 - 4548*x**3.\nAnswer: 139*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92.62791 - 615.36.\nAnswer: -707.98791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5605647, -11211296, -16816945?\n\"Answer: -5605649*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**6\/o*o)*o)**(1\/8)\/(o**(-4\/11)*o*o*o**(-5)*o) assuming o is positive.\nAnswer: o**(41\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 6:24 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-316)\/12 + (-9)\/(-27). Is -26 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2783 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 54\/(-135) + 3254\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4825558013 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozaggoooovg. What is prob of picking 1 o and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**2 - 3*m**2 - 2*m**2)*(-m**2 - 2*m**3 + m**2) - 3*m**5 - 118*m**3 - m**2 + 118*m**3.\nAnswer: -5*m**5 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 10:06 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*u = 2*u - 34, -f + 5*u = 36. Let k = 15 + f. Is 9\/2 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwquuuuujjuuvuqu. What is prob of picking 2 j and 1 w?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 741.72 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2236 (base 9) in base 5?\nAnswer: -23103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2748 less than -2750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 169*n - 165*n = 10, 8 = 4*y - 5*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-17 - -41 - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 - 17*u + 3. Let f(g) = -8*g**2 + 32*g - 7. What is 3*f(t) + 5*r(t)?\nAnswer: t**2 + 11*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 - -88. Let o be 240\/130 + (-4)\/l. Suppose 10 = -2*m, -3*f + o*f + 5*m = -30. Solve -f*c + 14 = 2*a, 4*a + 2*c - 12 = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 184 in 0.02, -3, -1\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 - 3040*t**3 + 21574*t**2 + 297852*t - 2198880 = 0. What is t?\nAnswer: -1527, -10, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7847*w + 211865. What is u(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.14, -0.0417 in increasing order.\nAnswer: -0.2, -0.0417, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**5 - 22092*w**4 - 66252*w**3 - 66244*w**2 - 22080*w = 0.\nAnswer: -5520, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2106*u. Let h(f) = 139*f. Let i(l) = -91*h(l) - 6*m(l). Let c(v) = 13*v. Give 2*c(a) + 3*i(a).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*x - 171 = -387*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 842\/667?\nAnswer: 842\/667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*n - 1. Let c = -15 + 30. What is the remainder when c is divided by 2 - n\/((-3)\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*n**3 + 17*n**2*u + 155*n**2 - 10*n*u - 97*n - 563*u - 1 wrt n.\nAnswer: -888*n + 34*u + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + 107 + -105 + -47?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*k + c = -123*k + 241*k - 16, 5*k = c + 28 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -52. Let z = -29.2 + n. What is the closest to 1\/4 in 0.5, -4, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.3, 5, -2\/5, 2 in ascending order.\nAnswer: -19, -2\/5, 0.3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - b**2 + b + 1. Let a(w) = -2*w**4 + 1556*w**3 + 1550*w**2 - 7730*w + 4644. Let z(m) = -a(m) + 6*k(m). Factor z(y).\nAnswer: 2*(y - 773)*(y - 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 194680044?\nAnswer: 7787201.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6821849 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25.41 from 3.\nAnswer: -22.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2*z**5\/5 - 41*z**3\/3 - 310*z - 206. Differentiate q(b) with respect to b.\nAnswer: 8*b**3 - 82*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 - 3*i**2 + 4*i - 4. Let z(q) = q**3 + q**2 - q. Let v(k) = t(k) + 2*z(k). Let l be v(-4). What is the highest common divisor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*v**2 + 75867*v - 75867*v.\nAnswer: -394*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -4, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 586*((-3)\/2 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 3*n - 3*n)*(32 - 649 - 537 - 250) to the form r*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2339 + -9.3011. Let m = j - -10. Round m to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 5*u - 28366 = 24*h, -3*h + 5*u = -21277. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -9\/2 (b) -4\/5 (c) 3 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.2. Let h = -0.7 + g. Let a = 14156 - 14161. What is the second biggest value in 4, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/815741 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 713?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 18 = 282*f - 287*f, 3*f = 4*l + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -4 - -12 - 10 - -7) + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + 6\/(-72)*99 and -24\/89.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4333809 is divided by 1258?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -124.23\nAnswer: 496.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 43*b - 43*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n - 311*n - 121*n + 2*n**2.\nAnswer: 2*n**2 - 460*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:57 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -10 - 0. Factor 0*q**5 + 9*q**4 - q**m + 0*q**5 - 9*q**3 + 4*q**2 - 3*q**5.\nAnswer: -3*q**2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -7 (c) -73 (d) -3 (e) 15\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*z = -124, w - 4*z - 21 = 111. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 1, -1\/2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-80.772.\nAnswer: -8.0772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 14093?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/155848 and 87\/113344.\nAnswer: 1246784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703 = -141*a - 798 - 892 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -90*j + 2342. Let q be z(26). Which is the closest to q? (a) 0.05 (b) 0.2 (c) 0.39 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39852376 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b**2 - 23*b**2 - 407*b**2.\nAnswer: -373*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010246 rounded to four dps?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 520?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**3\/((n\/(n*n*n**6*n))\/(n*n**(1\/5)*n*n)))\/((n**(1\/4)\/(n*n\/n**1*n))\/(n**(-1))**(-49)) assuming n is positive.\nAnswer: n**(8793\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.762 - -2.77. Sort -2\/5, 0.2, i, 0 in descending order.\nAnswer: 0.2, i, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 659914*o**3 - 218258 wrt o?\nAnswer: 1979742*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0 + 24?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:33 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -20. Let x = -15 - -5. Let h = b - x. 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: In base 4, what is -302320 - -13?\nAnswer: -302301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Let k be o*((-3)\/(-1) - 2). Let j be (-5 + -9)\/((-91)\/78). Solve -k*h - j = 4*x - 4, 0 = -4*h - 2*x - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101101 (base 2) to base 4\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 + q - 364. Let h(g) = -g. What is h(o(k))?\nAnswer: -3*k**2 - k + 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4*4\/(-144).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:25 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4079 = -4*t, -4*f - 2*t - 6416 = -974. Let l be (-10 - (-21692)\/(-8))*2. Is (-1)\/(l\/f - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*p - 4*p + 21700 = 48*p + 18011 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -1.65315\nAnswer: -0.0165315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 - 0.33. Which is the nearest to g? (a) -3 (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m + 6. Let c(x) = -1610*x**2 + 5*x + 1629. Let v(t) = c(t) + 5*w(t). What is the first derivative of v(u) wrt u?\nAnswer: -3210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*f + 3*r - 0*r, 3*f = 4*r - 80. Let v = f - -80. Let i = 71 - 51. What is the highest common divisor of v and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (0 - 2))*-2. Let f(i) = i**3 - 3*i**2 - 4*i + 2. Let p be f(4). Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18385010801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -2 + 1\/2*c**2 + 1\/2*c**4 + 0*c - c**3. Suppose w(a) = 0. What is a?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 - 642 + 642.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 2. Let b be r(-3). Let a = 0.6 - 1.1. What is the biggest value in a, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1)**(-2\/3))**(-3\/4))**(-2\/73) assuming k is positive.\nAnswer: k**(-1\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -876630, -1753070, -2629500, -3505914, -4382306, -5258670, -6135000, -7011290?\nAnswer: -7887534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14234*r - 14236*r = 4*v + 180, -106 = 2*v + 5*r for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t = 10*t - 570. What is the least common multiple of t and (-4)\/(-10) + 365\/25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289 = -4*j - 277 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13*r. Let k(h) = 11356129*h. Determine k(i(g)).\nAnswer: -147629677*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 484805472 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 6, 19, -23328 in descending order.\nAnswer: 19, 6, -11, -23328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492*y = -496*y + 16. Suppose -4*o = 2*r - 2*o - 8, -5*o = r - 4. Solve -3*n + 19 = -d, -y*d - 40 = d - r*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 146939519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) - (sqrt(264) - (sqrt(264) - 2*sqrt(264)) - sqrt(264)))\/sqrt(12) + sqrt(22))\/sqrt(11) - (-1 + sqrt(6)\/sqrt(3)*-5).\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - 84. Let p = 89 - s. What is the highest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208180031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/((-8)\/(-28)*((-2856)\/(-9))\/(-17))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 + -253. What is the closest to -4 in -1\/4, 1\/5, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 + -188. What is the units digit of 41\/(((-2)\/(-28))\/((-4)\/z))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 2*l - 16 - 10.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/2 + 13364501*a + 178609886979001\/2 = 0.\nAnswer: -13364501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16328 by 2.\nAnswer: -8164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/8)\/(70\/(-2632)). Let f = 33 + -4. Let s = f + d. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*h = 2*b - 2*b, 2 = 131*b - 135*b + 2*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4\/8243 (b) -7 (c) 2\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/((c\/(c**(3\/2)*c))\/c))\/(c**(1\/4)\/((c*c**(-2\/5))\/c))*((c*c*c\/c**(2\/3))**(-37))**(-22) assuming c is positive.\nAnswer: c**(113711\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*v + 202*v + 665*v + 286*v + 203*v.\nAnswer: 1261*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.3? (a) -1 (b) 1\/4 (c) 209 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2. Suppose -229*m + 391 - 128 + 195 = 0. Let s(i) be the first derivative of -14\/3*i**3 + 0*i + 0*i**m - 18. Calculate f(s(u)).\nAnswer: 588*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1127 - -37348. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 940.19 + -932. Let f = l - -0.61. Let p = f + -9. What is the second smallest value in -1\/7, p, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 8*h - 2 = 0. Suppose 0 = -z - 2*u - h, -5*u = 4*z - 0*z - 5. Is 3 a factor of (z - 3)\/(2\/34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:07 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -10 (c) 348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 24*h - 125. Calculate q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from uqvqqqqtqqtntqvtq.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c8ba1 (base 13) to base 14.\nAnswer: 20a924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 99 - 99 + 84*t. Let s(j) = 2*j**2. Calculate s(h(c)).\nAnswer: 14112*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -2\/127 in ascending order.\nAnswer: -2, -0.4, -2\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 + 5*o**2 - 5*o - 7. Let c(q) = -q**3 - 3*q**2 + 3*q + 4. Let u = -26 + 23. Let p(y) = 7*y - 5. Let h be p(0). What is h*c(m) + u*n(m)?\nAnswer: -4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/21*(-2)\/(-8)*18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 10. Let i(z) = 5*z + 3. Determine -5*b(l) - 6*i(l).\nAnswer: -15*l + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8165 (base 10) to base 12.\nAnswer: -4885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -255191*z**2 - 40443*z + 1?\nAnswer: -510382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Suppose 5*s - 2*p = -29, 2*s - 2*p + 14 = -0. Let w = s + 20. Solve 6 = 2*f + u*q, 5 = 5*q - w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5))**1\/(f*f**(-11)*f\/(((f*f**4)\/f)\/f*f)) assuming f is positive.\nAnswer: f**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/6 + (2 - 1 - -310). Suppose 3*c + d = 8*c. Does 31 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -7*w**3\/6 + 3*w**2 + 2*w + 6. Give q(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3251676601?\nAnswer: 3251676601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 2*j - 4. Let m be i(3). Let b be (12\/m*96)\/((-9)\/(-30)). Suppose -b = -2*q + 6326. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 - 5. Let f = -0.3 - s. Let w = -5.6 - f. What is the nearest to 3\/4 in 2\/5, -1\/6, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*t + 9, 0*t + 3*t = -6. Let k be (11\/i)\/(1\/(-9)). Suppose 3*u = -0*u + k. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 + 8*p + 13. What is n(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.306 rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5822582877 to the power of 1\/2, to the nearest integer?\nAnswer: 76306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, d: 3, e: 2, a: 9}. What is prob of picking 2 d?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from rerlrrl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 3*f**2 - 7*f - 4. Let l be g(-4). Let v = -3 + 6. Suppose 2*s - v*p = l, -2*s + p + 80 = 2*s. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112784304 by -152.\nAnswer: 742002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9 - 4\/((-48)\/(-414))) + 1632\/116\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 526\/4275 + -4\/225. Let u = -2.5 + 2.9. Let n = 16 + -24. What is the fourth smallest value in u, w, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.472 + -3.8134283\nAnswer: -5.2854283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 2.3. Let n = t - 2.4. Which is the closest to -1? (a) n (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 4*n - 3 = 3*w, 5*n - 24 = 3*w. Let r be 4\/6*w + 2. Suppose -2*s + 42 + 26 = r. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1664 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/20 - 7*c**3\/6 - 8*c**2. Differentiate y(j) with respect to j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t**2 + 23*t + 40. Let g(o) = 10*o**2 - 28*o - 45. What is -5*d(v) - 4*g(v)?\nAnswer: 10*v**2 - 3*v - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 2, w: 2, l: 1, x: 2, c: 4}. Give prob of picking 1 y and 1 c.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z + 52 - 82. Find the second derivative of 16*q + 57*q**z - q**2 - 2 + 70*q + q**3 + 27*q**3 + 13*q wrt q.\nAnswer: 510*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 2*g. Let x be (4\/(-3))\/((-2)\/g). Let i = 1446 + -1434. Solve -z = x*z + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85.7 + 25.3. Let r = -5.46 + -121.94. Let w = z + r. Round w to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 4*w + 11. Let b be m(-5). Factor 191 + 4*g**3 + b*g**2 - 33*g - 167 - 11*g.\nAnswer: 4*(g - 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*z + 117, -121 + 38 = -2*n - z. Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -43. Let z be (-1)\/((-2)\/6)*1. Suppose z*c - 5*a = -c + 40, -a - f = -2*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + 80.1. Let z = 74.1 - r. Let l = -67.0108 + z. What is l rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 - 156*s**2 + 8845*s + 9000 = 0. Calculate s.\nAnswer: -200, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s. Suppose 4*h = -2*k + 4, 5*h - 2*k = h - 12. Let d be y(h). What is the greatest common divisor of d and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5309 divided by -146\nAnswer: -5309\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1\/3. Let s = 14 - 1. Let i = s - 11. Sort u, i, 0.1 in descending order.\nAnswer: i, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s - 2*i, i - 5 = 0. Suppose -5*d + 20 = -4*o, s*o + 28 = -3*d + 3. Which is greater: d or -9\/14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3 and 14\/34749879?\nAnswer: 34749879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28\/5 (b) 1\/1006 (c) 4 (d) -4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 170?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -271003*z**5 + z**2 + 593*z + 1?\nAnswer: -16260180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 683917*i**6*n - 1232*i**2*n + 241*n wrt i?\nAnswer: 82070040*i**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172285244?\nAnswer: 2, 43071311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7102722, 28410937, 63924644, 113643855, 177568582, 255698837?\nAnswer: 348034632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*z = 30, z = -3*z - 20. Suppose -a*t = -1030894 - 881796. Suppose 2*w + t + 297462 = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7760230 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hktfktftfeetttg. Give prob of sequence ktek.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + sqrt(180) + 1 + (sqrt(180) - (-2*sqrt(180))**2)*-6 - (sqrt(180) + 0 + 0 - 5*((sqrt(180) - (sqrt(180) + 1)) + sqrt(180)))**2).\nAnswer: 210*sqrt(5) + 1420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 + f**2 - 1. Let g(o) = 11*o**3 - 45*o**2 - 3*o + 6. Calculate g(u) + 4*v(u).\nAnswer: -u**3 - 41*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = -a + 2*k, 14 = 3*a + k. Suppose -g = a*g. Suppose 2*p - 2*u = -2*p + 122, g = -p + u + 32. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = h + 4, 0 = -t + 5*t + 2*h - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27.8*-4\nAnswer: -111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 1562530 + 216336 = 1992262. Round l to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/3 or 6?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/7 + -2\/21. Suppose -21 + 18 = -3*f. What is the biggest value in m, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 18*g**2 - 19*g + 24. Calculate m(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxxoxxox. Give prob of picking 1 x and 2 o.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-20)\/2)*(-1365)\/63. Which is smaller: k or 198?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 143?\nAnswer: 71.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.29, -2\/13, 23.346, 0 in decreasing order.\nAnswer: 23.346, 0, -2\/13, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325.6 - 8.6. Let u = 343 - g. Which is smaller: 0.07 or u?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*s - 4*l, 4*l - 49 = 4*s - 233. Suppose -2*n = -42 + s. Let j be (0 + 0)\/(n + 0). Solve -2*z + 6 = 0, 2*y = -3*z + 15 - j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*m = 435*m + 3816. Suppose -4*v = 2*d - m, -5*d - 2*v = v - 1562. Calculate the least common multiple of d and 18.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 1*4968\/16. Let t = 309 + n. Suppose 0*s + 0 - s**3 - t*s**4 + 0*s**2 + 3\/2*s**5 = 0. What is s?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2035440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:22 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = -c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 360*r - 1378. Calculate m(4).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203121 + 4?\nAnswer: -203112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7661, -7659, -7657, -7655?\n\"Answer: 2*w - 7663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 18*m - 44. What is the remainder when 35 is divided by j(-21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-1 + sqrt(1700)*2)*-1.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1752575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + ((-16)\/(-4))\/2. Factor -p**c - 14 + 17 + 4*p - 6.\nAnswer: -(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.768 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = -16. Suppose -2*w + 4 = -0, 0 = h*p - 4*w. Suppose b = 3*b - p. Is -1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - 1*-4*4187. Suppose 0*h - 3*h = -b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((15\/10)\/((-5124)\/196 + 27))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3475 - -3472. Let f = 1.1 + -0.8. Which is the second smallest value? (a) 1\/8 (b) v (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 5. Let v be 14\/105 - 94\/30. Let c be y(v). Let i = 20 + c. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36304, -145573, -327688, -582649, -910456, -1311109, -1784608?\nAnswer: -2330953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 25780 = 3*x, -3*x + 5*b = -25077 - 691. Is 81 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(-24)\/(-9)*951\/4?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(112)) - sqrt(21)\/(-6*(sqrt(3) + sqrt(12)\/sqrt(4))).\nAnswer: 20 + 241*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1228\nAnswer: 245.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/51)*i\/i**(1\/14))\/((i\/(i**13\/i))\/i**(2\/5)) assuming i is positive.\nAnswer: i**(47443\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {m: 1, g: 1, y: 2, j: 2, b: 9, a: 3}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foj when three letters picked without replacement from jjzffffjjo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-14 + 2 - (-29 - -26)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 17 = -48 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = 8. Let d(n) = -n**3 + 2*n**2 - 2*n - 1. Let q be d(j). Let b = -1 - q. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -18. Let w = -64.1 - -66. Let h = w + -2. What is the closest to h in a, 4\/7, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r - 60 = -27*r - 18*r + 3*k, -16*r - k = -2*r + 58 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*g + 126 - 1083. Differentiate v**3 + 50*v**4 + 3*v**3 + g - 61*v**4 with respect to v.\nAnswer: -44*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 - 68*u**3 - 72*u**3.\nAnswer: -124*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5779*v - 5690*v - 5340 = 0 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 2*x - 8. Let i(f) = 13*f**2 + 8*f - 33. Calculate 9*b(h) - 2*i(h).\nAnswer: h**2 + 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -75?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56800 and 7600?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126305579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 - m + m)*(-24*m + 49*m + 24*m) as x*m**3 + b*m**2 + p*m + k and give x.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34959709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-1 - ((2*sqrt(114))\/sqrt(6) - sqrt(19))**2) + sqrt(19) + -4 + sqrt(38)\/sqrt(2) + sqrt(1539) + sqrt(1539) + 0.\nAnswer: -23 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*n - 12 = 0. Let d be (n - -3)\/(1\/2). Suppose -d*a = 5*b - 41 - 25, -24 = -3*b + 4*a. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5\/2 + 49*q**4\/2 - 217*q**3\/2 + 71*q**2\/2 + 107*q - 60 = 0.\nAnswer: -20, -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + 0 + sqrt(320)) + (sqrt(500) + (-2 + sqrt(500))*2)*-5)**2.\nAnswer: -5700*sqrt(5) + 180725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/28 + 33\/4. Suppose -2*l + 5*w + 0 + h = 0, 0 = -4*l - w + 29. What is the lowest common multiple of (-2 + 0)\/2*-7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-9))\/4 - 29\/(-9). Let r be ((-3)\/o - -1) + 602. Suppose -4*n + 3*n - 4*q + 607 = 0, 0 = -n - 3*q + r. Is n 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 2260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220\/153 or 2?\nAnswer: 220\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5 - 93727*l**4 - 281168*l**3 + 374896*l**2 = 0.\nAnswer: -93724, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79037687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmtt when four letters picked without replacement from mtmmmmmmmmmmtmt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + -2 + (sqrt(208) - sqrt(52)) + -2.\nAnswer: -5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*l + 27*l + 24*l)*(4*l + 2 + l - 3*l + (2*l - 3 + 3)*(4 + 4 - 4)).\nAnswer: -170*l**2 - 34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -21160834?\nAnswer: 27\/21160834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -14, -15, -16, -17, -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213980068?\nAnswer: 2, 53495017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -14*d + 4. What is the smallest common multiple of z(-2) and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(sqrt(539)*-3 - sqrt(539))*6 + 3)*2)**2 + 4.\nAnswer: -2688*sqrt(11) + 19869701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from iiixilblxelbxxniin.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1\/4, 196, -4, 1\/3, -304 in descending order.\nAnswer: 196, 2\/3, 1\/3, -1\/4, -4, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -43277 and -43272 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -285 * 0.3\nAnswer: -85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g - r + 40, 0 = -g - 5*r + 10. Is 35\/g*174\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*r + 166*r - 137 + 168.\nAnswer: -6*r + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(212268\/1710 - 128)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**2\/2 + z - 2. Let y be j(5). Suppose -g - 1 = -y. Solve 6*d - d + 2*p = -9, 0 = 3*d - g*p + 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0034 + 4.0034. Which is the nearest to o? (a) -1 (b) 5 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 26 = -27*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = 3 + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 1:34 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33314 (base 7) to base 13.\nAnswer: -3a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 r, and 1 b when four letters picked without replacement from {r: 1, b: 5, f: 3, m: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -28. Let o be 160\/54*30\/(-4). Let k = -22 - o. What is the third biggest value in k, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 885 by 15.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -177*b**3 + 6*b**3 - 13295*b - 7 + 13296*b + b**2 in the form n + s*b**3 + k*b + d*b**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19041*i**3 + 19046*i**3 - 38088*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -10, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6*n + n + 23 = 0, 0 = n + 2. Calculate the remainder when m is divided by (-4)\/(-10)*-2*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 6*x**2 - 6*x + 5. Is k(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 112*f + 1 + 1 + 2.\nAnswer: 112*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/3)\/((-2)\/(-6)). Let y(s) = -s**3 + s**2 - 1. Let h(a) = a**3 + 2*a**2 + 5*a + 2. Let v(k) = h(k) + 2*y(k). Give v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285183793101 + 0.4\nAnswer: -285183793100.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**4 - 5*a**3 + 5*a**2 + 5*a + 9. Let c(g) = -g**3 + g**2 + g. Let i(q) = -5*c(q) + m(q). What is the derivative of i(f) wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 12f?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 9) to base 16\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -7, -5, 11, 47?\n\"Answer: r**3 - 2*r**2 - 7*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192 - -192.1. Let l = -0.27 - -0.11. Let k = 12 + -10. Put b, k, l in increasing order.\nAnswer: l, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/17 (b) -0.03 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 3. Let f be j(5). Let z be 3 - (-3)\/(9\/(-8)). Sort f, z, -4.\nAnswer: -4, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1140934929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*i - 66 = 262*i. Solve -3*k + 30 = -3*r, 0 = 2*r + i*k - k - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 - -172. Suppose 0 = 6*s - 12*s + t. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -0.006. Let f = -91610\/3 - -30537. What is the second smallest value in -1\/6, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*r + 5*f - 220, 5*f + 330 = 3*r. Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719 = -s + 2*w, -744 = s - w + 4*w. Let o = s + 1022. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*f + 383*f - 4*z = 41, 0 = -f - 20*z - 85 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*d**2 + 88*d**2 + 3*d + 10*d - 2*d as k + t*d + w*d**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 8. Let z be x(-4). Solve 0*g = z*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(1573)*-2 + 3 + sqrt(1573).\nAnswer: -11*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let j be ((-18)\/(-15))\/(6\/15). Suppose -3*l + 5*r = -16, -16 = -4*l + r + j*r. Let m(i) = 0*i**l + 3*i**2 - 4*i**2. Calculate m(g(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from assfsffs. Give prob of picking 2 f and 2 s.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1528164089 to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5539977 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60 + 41 + 40)*((-1 - 1 + 0)*(2 - j - 2) + 4 - 4 + j + j + j - j - 11*j - 1 + 1) to the form w*j + z and give w.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 72\/83, -3?\nAnswer: 72\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 20. Which is the biggest value? (a) o (b) 0.8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x. Let w(u) = 11*u - 4*u - 8*u. Determine w(y(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 12) to base 8\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91412.07 months to decades.\nAnswer: 761.76725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiixuxixxixii. Give prob of sequence xiix.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysn when three letters picked without replacement from {i: 6, n: 1, t: 3, s: 4, y: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -724925620*k - 30477786?\nAnswer: -724925620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 28*d - 24.\nAnswer: 4*(d - 3)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-5)\/(-10)*1\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 b when three letters picked without replacement from pbgpbpb.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2591 + 2575. Does y = -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*l - 6*l + 108, -3*l = p - 40. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7)\/v)**(-47)*(v**1*v)**(-3\/25) assuming v is positive.\nAnswer: v**(10533\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-810)\/(-21)*336\/36. What is the greatest common divisor of 60 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139.9 - -0.5.\nAnswer: -139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7043 is divided by 799.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6151 divided by 2.\nAnswer: -6151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -850, -2059, -3294, -4567, -5890, -7275, -8734?\nAnswer: -10279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 436852121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = d - 13 + 95, 0 = -4*d - w - 223. Let u(x) = -x**2 + 4*x - 16. Let i be u(-6). Let m = d - i. What is the highest common factor of 152 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (0\/(-3))\/((-4)\/(-1)). Let b(u) = 4*u**p - 12*u + 8*u + 4*u. Let s(f) = 2*f**2 + 0*f**2 - 5*f**2 + f**2. Calculate b(s(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:37 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by 3.\nAnswer: -94\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81208*x**2 - 118026*x**2 + 711751*x**2.\nAnswer: 674933*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2. Let a(k) = 3*k**2 - 5*k + 5. Let t(n) = 4*n - 11. Let o be t(5). Let b(y) = 6*y**2 - 9*y + 9. Let q(r) = o*a(r) - 5*b(r). Determine x(q(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.5, 0.3, 6\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7*o**2 - 19*o**2 + 9*o**2)*(0 - 3 + 1)*(449*o + 374*o - 132*o).\nAnswer: 4146*o**3 + 6910*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -485 - 158955*m - 794 + 159462*m wrt m.\nAnswer: 507","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(2*h**3 - 2*h**3 + h**5).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 divided by 3.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 2080811?\nAnswer: 2080811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**3 - 6*b**3 + 3*b**3 + (18*b - 18*b + 4*b**2)*(4*b - 3*b + 0*b))*(2*b - 4*b + b) as l*b + a*b**3 + d + o*b**4 + x*b**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25*90\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**2 - 57*w**2 + 19*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799540591?\nAnswer: 3, 31, 241, 124907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66571 from 4.\nAnswer: 66575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + 48\/168*14\/(-6). Which is the fifth smallest value? (a) -3 (b) 12 (c) 5 (d) f (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -94\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h**2 + 144*h. Let r(s) = -4*s**2 - 72*s. Let m(a) = -3*c(a) - 5*r(a). What is the second derivative of m(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 118.8798 milligrams?\nAnswer: 0.1188798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:09 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 11 - 3. Suppose -70 = -4*q + 2*u, 5*q - 3*u - 89 = -l*u. What is the remainder when 34 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/22*(-8)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/9)\/((-2)\/201). Suppose 0*w - w + j = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(6)*2) - (sqrt(44) + (sqrt(44) + sqrt(132)\/sqrt(3))*-2))\/(-5*sqrt(8)\/sqrt(2) - (sqrt(576) + sqrt(576)*2 + sqrt(4))).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16134760*t**2 - 16134771*t**2 + 32269534*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9797 - 9794. Solve 0 = -4*p + 6*p + x*c + 6, 0 = -3*p - 3*c - 12 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*c = 212, -a - 5*c + 178 = -30. What is the highest common divisor of 8175 and a?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3922082 is divided by 1961009.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**23*b**(-12\/7)\/b assuming b is positive.\nAnswer: b**(142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12446 = -21*c - 12047 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300)*-2 + sqrt(1300))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3 - 11 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:27 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 39*f + 4. Let g(v) = -20*v - 2. Let s(j) = -5*g(j) - 2*l(j). Let n be s(-1). Put 3, n, -4, 0 in decreasing order.\nAnswer: 3, 0, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let i(j) = -8*j + 12. Let l(v) = i(v) + 6*w(v). Let s be l(0). What is the greatest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500904 is divided by 100156.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 25 + 20 + 820*s**2 - 806*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11 + 3*x + 6 - 3 - x. Let d be y(6). Suppose 0 = 5*a + 4*g + 21, 2*a + 21 = 2*g + 9. Sort a, -3, -2, d.\nAnswer: a, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -21*f**5\/5 + 339*f**4\/5 + 36*f**3\/5 - 11436*f**2\/5 - 18528*f\/5 + 576 = 0.\nAnswer: -4, -2, 1\/7, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*i + 7, -5*j = -3*i + 4 - 11. Let p be j\/10 + (-64)\/(-5). Does p = 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 95 + g - 92.\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/8 + 5*f\/4 - 25\/8.\nAnswer: -(f - 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*b + 2 - 47 = 0, 0 = 2*y + 5*b - 42. Suppose 2*m - 13 - y = 0. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p - 34. Calculate the remainder when 30 is divided by z(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 8. Suppose 5*x + 10 = -5*r, 0 = r + 5*x + 15 - 5. What is m(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42287948\/231 - 183065. What is the common denominator of 1\/429 and d?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + s - 7 = 2*a, 2*a + 12 = 2*s. Let m be (-2 - a) + (-12)\/(-4). Solve m*r + 2 + 8 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*z - 6325 = 0, 10*z - 5*z = -3*h + 18955. Let p = h - -8049. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8731466 divided by 6\nAnswer: 4365733\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -139, -166, -197, -226?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*h + 25, -4*r + 9 + 11 = h. Let g be -69*16\/14820 + 10\/95. What is the nearest to h in -4\/7, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/245)\/(2\/(810\/(-9))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27318.034682 - 27318. Round t to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -284?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5061256, -5061292, -5061328, -5061364?\n\"Answer: -36*g - 5061220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (1 - 0))\/1. Solve -2*m - 2 = -4*f, l - 3 = -3*m + 2*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence law when three letters picked without replacement from {w: 6, a: 7, l: 2}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 759 + 9229 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*h - 7*h. Let q(i) = -4*i + h*i + 0*i. Let n(z) = 7*z**2. What is q(n(d))?\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.3 + -21. Let k = s - -10.2. Let q = k - 9. What is q rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 + -47106?\nAnswer: -47053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-90)\/10*(0 + 1). Let v(s) be the third derivative of 0*s - 1\/2*s**3 + 1\/60*s**5 + 0 + 3\/8*s**4 - 132*s**2. Determine v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-28))\/((-4)\/14)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 17 = 4*z, 10*k + 5*z + 13 = 9*k. Let d be (0\/k)\/(6 + 1 + -5). Sort d, -2, -88, 3 in increasing order.\nAnswer: -88, -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -19826*h**2. Let a(u) = 22*u. Calculate a(s(z)).\nAnswer: -436172*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 214689981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1163*j + 85966. Determine y(-74).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -161785 divided by -5\nAnswer: 32357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 18. Differentiate -27*m**3 + 46*m**3 - b - 21*m**3 with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*r - 56*r - 77*r.\nAnswer: -303*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -456, -817, -1312, -1935?\nAnswer: -2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 42665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 = -4*q - 218. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 218707\/9 - 24344. Let o = n + 43. Let r be ((12\/7)\/3)\/2. What is the nearest to -1 in -1\/18, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -1 + 1 - -4. Suppose 5*d = -r - x*r - 6, -d - 2*r = 6. Calculate the remainder when (-1 + d)*1*36 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2110628 by 1924.\nAnswer: -1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.7 (b) 0.02 (c) -1\/2 (d) -1 (e) 1 (f) 0.2676\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 66. Let w be 15*(-1)\/(10\/(-12)). Let o be r(w). Sort o, -4, 1 in increasing order.\nAnswer: -4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50.4 + -46. Let d = 6477.5127 + -6481.9127021. Let n = u + d. Round n to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 5*g - 14 + 4*g)*(2 + 0 + 0).\nAnswer: -4*g - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79\/3 + -26. Is -27 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*n + 5 = 0, -4*h - 4*n + 3 = n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 8. Let a(w) = -w**2 - 20*w - 25. Let l be a(-19). Is 3 a factor of c(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.6 - 5.1. Suppose 7*f = -6 - 22. Which is the second smallest value? (a) 0.4 (b) f (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71812050?\nAnswer: 2, 3, 5, 478747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63476089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -45715 > -1782848\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 - (-2 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17064 - 4872 + 5325)*(2*b**2 - b**3 - 2*b**2).\nAnswer: -17517*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 4164306?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-28) + 1213704\/1008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -3*q**4\/4 - 2*q**3\/3 + 3*q**2\/2 + 2*q + 91. Let c = 3 + -5. Let i be y(c). What is the greatest common divisor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 37 = d + 3*l, 0 = -5*d + 3*l + 13. Solve 0 = -d*w + 2*s - 17, w + 1 = s - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47867248?\nAnswer: 2, 11, 13, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o. Let d be f(-1). Suppose -8*v + 6*v = -d. Suppose -3*l - v*l + 55 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8*m = 3*m - 80, 2*q + 28 = 2*m. What is the common denominator of 38\/11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(1300)*-3 + sqrt(1300) + 1))**2.\nAnswer: 3500*sqrt(13) + 1592525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/10 and 69\/4642.\nAnswer: 23210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*w - 2 - 3, -5*i = -w - 11. Suppose c + 5*a = -23, 3*c + 38 = -c - i*a. Which is greater: -7 or c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-448)*32*(-5)\/(-4).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:33 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*j - 14 - 14 = 0, 0 = l + 2*j + 4. Let s = -29 + 33. Let w = -3 + 5. Solve 0 = l*n - 3*k + w - 12, 5*n + s*k = 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 3053.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**5 + 640*c**4 - 72300*c**3 + 213010*c**2 - 211705*c + 70350 = 0.\nAnswer: -201, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, -2, -28 in increasing order.\nAnswer: -28, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u + 10*u - 76*u**2 - 26*u.\nAnswer: -76*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*t + 117 = 119*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 53 = -i, -4*o + 6*o = -2*i + 38. Let w be o + (-3)\/(-6)*0. Calculate the greatest common divisor of w and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/((-14)\/7*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39805739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/161, -2\/39, -7, -18?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 117065446 and 4876?\nAnswer: 117060570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 690510 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*m = 323*m + 11842 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 579407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.2, 2\/9, -93\/4 in decreasing order.\nAnswer: 1\/4, 2\/9, 0.2, -93\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3 - 35*w**2 + 200*w + 2000 = 0.\nAnswer: -5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/15, -39, 2, 15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9458 = 378*p - 5970 + 9742 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2858, -2879, -2910, -2951, -3002, -3063, -3134?\n\"Answer: -5*b**2 - 6*b - 2847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 32*s**2 + 14*s + 6. Let j be g(-3). Let h = j - -5. Suppose -2*r + 94 = -5*i + h, -4*r - 16 = 0. Calculate the highest common factor of 155 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221\/11 or 20?\nAnswer: 221\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-12))\/(7\/(42\/(-12)))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31308121, -31308122, -31308123, -31308124, -31308125, -31308126?\n\"Answer: -j - 31308120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1017462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmnpa. What is prob of picking 1 a and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/1217 (b) -34 (c) -217 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(2*(-9)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i*i\/i**(11\/2))*i*i*i))\/i*i**(-24)\/i)\/(i**(-4\/21)\/i*(((i*i\/(i*i\/(i*i**(2\/31))))\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-39547\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -2.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-1)\/2)\/(2\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -109. Let k = 86 - h. Let c = 80.6 - k. What is the second biggest value in 0.2, c, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-15)\/(-18) + -1). Is (-4)\/q*138 - 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495428 divided by 1247714?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1))\/(p*p*(p\/(p\/p**(1\/4))*p)\/p)*p**5\/(((p**2*p)\/p)\/p))\/((p\/p**(-1))\/(p*p**(6\/5)*p)*p**7*p*p**(1\/5)\/p) assuming p is positive.\nAnswer: p**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6019420812.\nAnswer: 2, 3, 167, 3003703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100110000 (base 2) in base 14?\nAnswer: 1b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9198 less than -13946.692?\nAnswer: -4748.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 83 != 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (-9 - -34 - 7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = 0, 26*q = 23*q + g + 15. Let 16\/5*b - 1 - 4\/5*b**3 + 17\/5*b**q = 0. Calculate b.\nAnswer: -1, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*g**4*h - 4*g**4*r + 4512*g**4 + 63*g**2*r + 19*h + 2824*r wrt g.\nAnswer: -552*g*h - 96*g*r + 108288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252880083 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 40. Determine k(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qva when three letters picked without replacement from {q: 3, a: 4, v: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 34 + 182. Let l = w - 69. Suppose 16 = 5*d - 4. Is l less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 448*q**3 + 6*q**2 - 7*q - 4. Let f be j(3). Let n = -1548 + f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400907 is divided by 66810.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 12. Let g(f) = -2*f - 8. What is 3*g(p) - 2*k(p)?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1329797652 divided by -6\nAnswer: 221632942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g - 469. Suppose 0 = 118938*n - 118951*n - 403. Give h(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 + 24*g**2 + 562*g\/3 - 476.\nAnswer: 2*(g - 2)*(g + 17)*(g + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = -2*f. Let y be 4 - (2\/1 - 0). Let t(d) = 2*d**y - 4 - d + 3 - 4*d**f - d**2. What is t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*o + 139 + 71, -4*z = -o - 181. Solve -3*k - z = -14*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6*8\/54. Let r = -25 + 473\/19. Sort -0.4, n, r in decreasing order.\nAnswer: n, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*p + 13*p. Suppose 5*f = 5*d + 85, 3*d - 3 = -18. Let g be (f\/33)\/(-2)*3. What is the smallest value in -6, g, p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0. Let m = -0.039 + -0.461. Let g = -4 + 0. Sort m, g, t in decreasing order.\nAnswer: t, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 - y. Let d be o(-3). Let q(s) = -2*s - 7. Let k be q(-5). Suppose -d = -k*c - c. Solve a - 1 = -c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*27.781.\nAnswer: -2.7781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -126, -210, -296, -384, -474, -566?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -5 - (-2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165906241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57 and -305?\nAnswer: -17385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7809777439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**3 - a**3 + 0*a**3)*(-2 + 1 + 0) - 6*a**3 - 21*a**3 - 47*a**3 as x*a**2 + j*a + o*a**3 + k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.394 - -2.494. Which is the biggest value? (a) l (b) -16 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1154100 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 4\/(-2) - 2. Let p = -5 + 9. Let w = p - q. Sort w, 1, 3 in ascending order.\nAnswer: 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + g - 5 = -8*v, -4*g + 17 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469713 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12\/(-1 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 5*w - 14. Suppose 2*m = m + 7. Let s be o(m). Is s < 8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 18*l**3 + 2*l**2 - 1. Let s(x) = -17*x**3 - 3*x**2 + x + 2. Let b(m) = -3*a(m) - 2*s(m). Is b(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let c be 4\/(-10) + 78\/(-5). Let u be (c\/(-6))\/(10\/75). Solve -j*i - u = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7204 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 1\/((-72)\/(-780537)). Suppose 0 = -4*h - 40257 - 3103. Let d = t + h. What is the common denominator of 35\/18 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 19806 + 12957. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, 404, 94, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 184, 757, 1704, 3019, 4696, 6729, 9112?\n\"Answer: -v**3 + 193*v**2 + v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -78, -219, -418, -669?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 942*o - 25 - 15)*(-3*o - 2*o + 11*o).\nAnswer: 5652*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-4) + (3 - (-2 + 10)). Let l = 32 - 14. Calculate the lowest common multiple of t\/(-30)*-3 - (-21)\/5 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 11. Let q be h(-6). Let p = q + 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8331 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 712 + -710. Let x = 119\/11 - 11. Sort l, 0.2, x, -4 in descending order.\nAnswer: l, 0.2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t**4 - 14*t**3 - 14*t**2 + 6*t = 0 for t.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1265, 231, -1 in descending order.\nAnswer: 1265, 231, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -15. Suppose -5*p = -3*o + 5, -q*p - 3 = -o - 2*p. Suppose -3*i + 93 = -o*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - d = 3*h - 19, -3*h - 4*d = 2. Solve 2*b - 4 = h*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 828 - 293. Let a = -537 + w. Let v be (-2 - -1)\/((-2)\/(-12)). Put v, 4, -5, a in decreasing order.\nAnswer: 4, a, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 + 6*v + 9. Let u be g(-9). Let d be 51\/u + 3\/(-18). Let q = -0.4 + 0.2. Which is the closest to -2? (a) q (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(11) + 5) - (4 + sqrt(176) + -3))**2.\nAnswer: 272*sqrt(11) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -94, -224, -410?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18975 and 1113200?\nAnswer: 3339600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/4)\/(-5) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 124.25 and 0.08.\nAnswer: 9.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1098677313 and 19746.\nAnswer: 9873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 6:33 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1404)\/(-36)*(2 + (-206)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/(-294))\/(-3 + -1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/3 + 89059*v\/3 - 623560 = 0.\nAnswer: -89080, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -986*m - 533*m - 54961 + 197737 = 464*m. Suppose 3*u + 5*a - 700 = 0, 224 = u - 2*a + 6*a. Calculate the greatest common factor of u and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -94145658, -2 in ascending order.\nAnswer: -94145658, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/63*2*3. Let l = 3 + -2. Is l != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657166.\nAnswer: 2, 7, 118369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 3317?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 3*n + 6. Let c be q(2). Let h = 25 + c. Is h < 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (9 - (36 + -40 - (-6 + 0))) - 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 2*d + m, 34 = 5*d + 3*m. Sort 1, -4, d.\nAnswer: -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*c + 56. Calculate the common denominator of c + (-41)\/(-30) + (-1)\/(-6) and -1 + 222\/(-9) - -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**5 - o**4 + o. Let x(s) = 22*s**5 + 7*s**4 - 21*s. Let k(h) = 14*w(h) + 2*x(h). Find the second derivative of k(r) wrt r.\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16514 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*s - 2*p, 18 = -3*s + 3*p - 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 2*l + 2*l + l - l - 2*l + (2 - 3 + 0)*(0 + 0 - l) - 5*l + 3*l + 0*l + 3 - 3 + 4*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r + 2. Let u(x) = x**3 - 4*x**2 + 7*x. Let k be u(6). Let d be k\/(-95)*5\/7. Are d and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 515*((-140)\/(-4) + -2). Suppose -2 = -r + 3. Suppose -b = -4*t - 4*b - 68003, -t = -r*b + a. Round t to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/296 and 47\/8392?\nAnswer: 310504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 68 - 78 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 3*v**2 + 18.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12654, -25329, -38002, -50673, -63342, -76009, -88674?\n\"Answer: g**2 - 12678*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 2*i - 2. Let c be r(2). Let q be (3 + -5)*(-1)\/c. Let l be q\/((-69)\/36 + 2). Solve -2*h + 3*p - l + 4 = 0, 0 = -5*h - p - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2886594 is divided by 1093.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u + 3 - 13*u + 3*u)*(2*u**4 + u**2 - u**2).\nAnswer: 4*u**5 + 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, 5, -8 in ascending order.\nAnswer: -9, -8, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(a - 5*a + 3*a - 2 + 2 + 2*a + (a - 3*a + 3*a)*(4 + 0 - 1)) + (-16*a + 12*a - 17*a)*(-11 + 5 - 4).\nAnswer: 202*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 152, 239, 324, 407, 488?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.02 (b) -3 (c) 5.6 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003257 to 7 dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 392\/(-136) + (-9)\/(-3). What is the second smallest value in -1, -4, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {p: 6, e: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2191728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14528 - 0.145. What is a rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172942*a*k**3 - 2*k**3 + 4843*k**2 + 8 wrt a.\nAnswer: -172942*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - 14\/(-8)*-4. Let p be (w\/(-18))\/((-32)\/18 - -2). Solve 9 = p*g + 3*r - 2*r, -g + 3 = 5*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13628 - -13632. Solve -a - g*h + 10 = 0, -55*a + 59*a - h = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7539.4 - -7539. Let c(v) = v**2 + 7*v + 9. Let b be c(-6). Suppose 0 = 2*l + 4*h + 36, 5*h - 15 = b*l + 2*l. What is the smallest value in -4, 2, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:48 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, t: 6, a: 1, v: 1, k: 1}. Give prob of sequence keat.\nAnswer: 11\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575758191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*l**3 + 758642522*l**2 + 413805066*l + 56427966 = 0.\nAnswer: -3\/11, 3134887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = -2 + 92 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-10) + 9\/2. Let r = o - 3. What is the remainder when 4\/10 - 33\/(-5) is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3.3. Let i = 86044651.70000145 + -86044654. Let w = c - i. Round w to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(1 - 0))\/(10\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-6) - 1)*3. Suppose 0*x + 2*d + u = -x, 0 = 3*d + 12. Let a = x - -1. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 6*1*(4*(sqrt(2299) + -2 - sqrt(2299)) - sqrt(2299))*3).\nAnswer: 725 + 990*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 94. Let u(r) be the third derivative of -r**4\/24 + 6*r**2 + 11*r. What is s(u(m))?\nAnswer: m + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/12 and 26\/45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.0076 + -0.0076. Which is the closest to -0.2? (a) -0.4 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14442, -14420, -14402, -14388, -14378?\n\"Answer: -2*o**2 + 28*o - 14468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/3 + 1498*u**2\/3 + 235984*u\/3 + 10622024\/3 = 0. Calculate u.\nAnswer: -553, -98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + -71. Suppose -2*t - 3*t = h - 480, x = -4*h - 20. Suppose r - t = -4*j, -2*j + 4*r = 5*r - 49. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-1\/2)*h**(-2\/21)\/((h**(2\/5)\/h)\/h) assuming h is positive.\nAnswer: h**(158\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*p**3 - 17*p**3 - 5*p**3 + 72 wrt p.\nAnswer: -165*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3100, -6199, -9296, -12391, -15484, -18575?\nAnswer: -21664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 - 23710 = -459*d - 621 + 13822 for d.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 12, -9*t = 2*u - 12*t - 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38382 + -38388. Which is smaller: -96\/19 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 12*d + 8 + 2 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 88. Does k = -6\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 11. Let i be (4 + 14)*1\/3. Let x be t(i). Let r be 48\/18 - 4\/2. Which is the closest to x? (a) -5 (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, 0.432, -0.1, -57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (7\/(-6) - (-9)\/54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 850067 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 456*n**2 - n - 8. Let c be b(-3). Suppose 2*p - c = 907. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*i = 2, 0 = 5*g - i - 7. Suppose -2*a = -7 - g. Suppose 108 = 8*r - a*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 - 22*k**3 + 36*k**2 - 16*k.\nAnswer: 2*k*(k - 2)*(k - 1)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 90, 217, 374, 561?\n\"Answer: 15*z**2 + 82*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 765 and 1482?\nAnswer: 377910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11680874533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041051 (base 6) in base 7?\nAnswer: -304600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -10) + 0\/(-4) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20298.\nAnswer: 2, 3, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240982 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3 + 13620*f**2 - 15417759*f - 92997522 = 0 for f.\nAnswer: -6, 2273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -54480, -3, 0, 3, 1, -1 in descending order.\nAnswer: 4, 3, 1, 0, -1, -3, -54480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 2. Let j(w) = -194*w + 198. Let g(i) = -j(i) + 2*o(i). What is the first derivative of g(y) wrt y?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*p - 60, -3*p + 731 - 734 = -v. Solve -29*f + 66 = -v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(2 - 2 + k**2) - 159*k**2 + 212*k**2 + 294*k**2.\nAnswer: 348*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.174 + -0.074. Let l = -6.06 - -6. Let g = l - 1.94. What is the nearest to g in 0.3, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2881199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 - 3*d**2\/2 + 3*d - 3. Let u be a(3). Suppose 0 = -5*s + 4*x + 1021, u*x + 230 = -2*s + 620. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l - 2. Let m be k(-3). Let n be 1\/(-2) - 28\/m. Suppose -5*y + 11*y = 18. Solve -5*p = -y*a + 29, -n = -5*a + 3*p - 6*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 407 - 439. List the prime factors of (-4408)\/t - (-6)\/24.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 + 11 + -5 - -779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 7:54 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -807 - -807. Let p(i) be the first derivative of 0*i - 1\/3*i**6 + i**2 + 4\/3*i**3 + w*i**4 + 9 - 4\/5*i**5. Let p(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 5760 = 2*y. Let l = 321 - y. Let z = -0.02 - 1.98. Sort z, l, -2.9 in increasing order.\nAnswer: -2.9, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*g, 6*g - 122 = 2*c + 2*g. Let p = c - -73. Suppose p*v + 8 - 43 = 5*d, 5*v - 45 = 5*d. What is the greatest common factor of v and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 36*i**2 + 27*i - 27. Let n(w) = 5*w**2 + 4*w - 4. Determine -27*n(s) + 4*r(s).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27344 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/35)\/(62\/155).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*((-8)\/(-6) + -2). Let n be (4\/10)\/(2\/20). Let j(c) = -n*c + 2*c + c. Give j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-22))\/(2 + -4). Which is the smallest value? (a) r (b) -1\/9 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 672\/(-66) + 2\/11. Let b be (-2)\/(-9) + u\/18. What is the closest to 0.2 in -0.5, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.16 - 0.16. Put g, 5, -4 in descending order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108932 - 0.6.\nAnswer: -108932.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) - 1\/4. Let r = 1924 - 1926. Is d > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 + 34 - 19)*(-1 - c + 1) as f*c + y and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 1:40 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -112 (c) -3 (d) 2\/19 (e) -1\/2 (f) -17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, 9\/7, 2\/5, -6, 5 in decreasing order.\nAnswer: 5, 9\/7, 1, 2\/5, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42098826 divided by 637861?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-9)*(-2)\/(-3). Let d = 9 + f. Find the third derivative of -2*c**5 + 5*c**6 + 5*c**2 + 2*c**d - 20*c**2 wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v = 41*v + 1540. Let d be -1 - 3475974\/22 - 28\/v. Round d to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4 - 4)*(-3*o + 5*o - o) - 2 + 2 + 2*o**2 + (-2 + 2 - 2*o)*(-2*o + 5 - 5) + 25 + 2*o**2 - 25 - o**2 - 3*o**2 + 3*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g + 11*g - 7 - 24*g. Let v = 13 - 19. Let p be c(v). Calculate the greatest common factor of 22 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000444373 to five decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -38. Let w(n) = n**3 + 6*n**2 + 7*n + 8. Let b be w(x). What is the units digit of (60\/(-50))\/(b\/50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*t = 48, -m - 3*t + 32 = m. Suppose 0 = -4*g - m, 0 = 4*y + 3*g - 47574 - 22026. Is (10\/(-6))\/(-2 - y\/(-8703)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338551092 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102527\/33 + 3108. Calculate the common denominator of -57\/8 and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooqqkoqk. What is prob of sequence qokk?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*x**3 + 223*x**3 - 81*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 41 + 6 = y, -3*f + 33 = -3*y. Calculate the lowest common multiple of f and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 51. Let y(x) = x + 4. Give -m(k) + 3*y(k).\nAnswer: k - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 242*c + 250*c - 502*c in the form u + w*c and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91292 in 1.3, -4, -5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, 10, 46, 108, 202?\n\"Answer: b**3 + 4*b**2 - 3*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*6\/4 - -7. Let q(k) = -5607*k**3 - 22*k**2 + 22*k - 13. Let v be q(r). What is v rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 + 52 = 5*y, -3*k - 4*y + 131 = 0. Suppose -3*i - 9 = -4*i. What is the highest common divisor of i and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6232 = -3*i + 288833, 5*i = -5*f + 470995. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920867 = -25*a + 1782251 + 1162441. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*b - 17 = 0, 5*u + 5*b - 26 = -1. Suppose 4*p - 16 = 0, 2*a - 3*p + u - 1 = 0. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/13803, 1, -2\/5, 2 in decreasing order.\nAnswer: 2, 1, 0, -2\/13803, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -761\/31448?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80449, 80467, 80485, 80503?\n\"Answer: 18*d + 80431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + -5 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.7 - 11. Let o = -0.7 + l. Sort o, -2\/13, -0.2 in decreasing order.\nAnswer: o, -2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 5*p + 5. Let x be h(-5). Suppose -2*i + 9 = 5*y, x*y + 2*i - i = 12. Suppose t - z - 396 = -26, y = 3*z. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4346 or 4348?\nAnswer: 4348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/14 + 7\/(196\/16). Sort 2, 0, w, 4 in descending order.\nAnswer: 4, 2, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61288*a*o**2*v**3 + 86*a*o**2*v*x + 115*a*o*v*x - 6*a*o + 2*a*v**3 + 171*a*v*x + v**3*x wrt o?\nAnswer: 122576*a*v**3 + 172*a*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -194044, -388107, -582174, -776245, -970320, -1164399?\n\"Answer: -2*t**2 - 194057*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 194917 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 11*z - 8*z - 54583, -3*z = -5*j + 54577. List the prime factors of j.\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 118\/(-4)*2\/5 and -13\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - (-108 - -11))*(1 + 1). Suppose -h = -0 - 3. Suppose -2*z + z = -h*d + 80, d = -3*z + 20. Calculate the greatest common divisor of d and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 4*w**2 - 6*w + 7. Let i be d(5). Find the common denominator of 1 - (i - (-111)\/(-9)) and 4\/(-6)*69\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 18597.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*o + 2 - 8 = 0, -4*o + 8 = -4*u. Is u - (-11)\/((-66)\/(-216)) - -2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019337 to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3*(sqrt(170)*-2 + sqrt(170)) + sqrt(170)))\/(sqrt(10) - (sqrt(10) - -2*sqrt(10))*-6 - 2*sqrt(90))*-6)**2.\nAnswer: 156672\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -4 + -8 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.45284 + -159.50384. Let i = 159.2 + l. Round i to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:14 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 x when four letters picked without replacement from rxxooxoloxboloo?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/118 + -215\/2478. Which is the nearest to -2\/11? (a) 2 (b) l (c) -6 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754 = -60*u - 454 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 12*z + 5. Let v(i) = -5*i**2 + 35*i + 16. Let x(t) = 8*q(t) - 3*v(t). What is the tens digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/1209 (b) 0.8 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 49749304*u - 154687078030276.\nAnswer: -4*(u - 6218663)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - -56. Suppose -5*a - o = -725. Let l = 27 - 16. Calculate the highest common factor of l and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjwjjwjwwwwwjjjwjj. What is prob of sequence wjjj?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 89. Calculate the remainder when 20 is divided by ((-2)\/3)\/(3\/a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -944, -1416, -1902, -2408?\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 8. Let g(o) be the third derivative of -o**4\/24 + o**3\/3 + 7*o**2 - 3. What is 9*g(t) + 2*k(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 12 = 46*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19976 = -116*y + 54380. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/(-57) - (2 + 10\/(-6)). Let h(q) = q**3 + 8*q**2 - q - 6. Let l be h(-8). Is 7 a factor of z - (-1 + -12) - (l + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/35)\/3)\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8. Suppose 2*q + 31 - 35 = r. Solve 7 - 1 = -q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/17)*r*r*r)**(-1\/3)\/(r**10\/(r*r**(-25))) assuming r is positive.\nAnswer: r**(-1784\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 311*x - 1440. Let k be c(5). What is the highest common divisor of 368 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 2*x**3\/3 - 23*x. Let o(t) = 12*t. Give a(o(c)).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-915496)\/1673760 - (-7)\/12\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/60 and 67\/152?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.8 - 6.8. Which is the closest to 2\/5? (a) u (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, -6, -29, -62, -105, -158?\n\"Answer: -5*w**2 + 2*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkx when three letters picked without replacement from xxxxxxkxxkx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 35*o**2 - 34*o - 244. Give l(36).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjhsjjjjhsjjhhj. What is prob of picking 1 s, 1 g, and 1 h?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*o**4 - 16\/15*o - 56\/15*o**3 + 22\/5*o**2 + 0 = 0. Calculate o.\nAnswer: 0, 1\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -817 + 860.1. Let f = -52.78 + x. Round f to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3 + 3 = 4*f, 4*p = -8. Calculate the common denominator of f\/4*(1 + (-54)\/(-10)) and -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllfvawll. Give prob of picking 1 a, 1 f, and 1 l.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/3)*p\/(p\/(p*p**(-4\/15))) assuming p is positive.\nAnswer: p**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4620084 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 - 6*k + 4. Suppose -5*p - q + 22 = 0, -2*p + 5*q - 22 = -5*p. Let s be ((-8)\/(-3))\/(p\/6). Calculate b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9169 - -9109.139. Let d = i + -0.139. Let o = d + 55. Which is the third biggest value? (a) 4 (b) 1\/17 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*k + 0 + 0)*(-5 + 5 - k)*(-4*k**3 - 9*k**3 + 4*k**3)*(3 - 5 + 1) + 2*k**5 - k**5 - 4*k**5.\nAnswer: 186*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-12) + (-2)\/(-4). Suppose -a*n + 42 = -0*n. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85568*h**2 + 205776*h - 205776*h.\nAnswer: -85568*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147824 millilitres in litres?\nAnswer: 0.000147824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/484 and -59\/55.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -13. Suppose -1 = 2*x + 4*g - 13, 3*x = -3*g + 6. Let a be x - (39\/s)\/1. What is the nearest to -1\/2 in 4, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*q**2*s**2 + 274*i**2*q**2*s - 13*i*q**2*s**2 + 5*i*q**2 - 2*i*s**2 + q**2*s**2 wrt i?\nAnswer: -6*q**2*s**2 + 548*q**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 111956832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*i + 32, 9*j = 10*j + 5*i - 54 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(3 + -6*(-1 + 6*sqrt(117)*2*3)))**2.\nAnswer: -3779136*sqrt(13) + 1768661892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 436473 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*2*4 + sqrt(312))\/(sqrt(288) - sqrt(288)*-2))\/((sqrt(300) + 1*sqrt(300))\/(sqrt(576) - sqrt(576)*2)).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-30)*6\/(-21)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 11. Suppose 4*f - 7 = -a*y, 6*f = 2*f + 3*y + 15. Suppose f*v + 3*d - 123 = 0, 5*v - 4*d - 48 = 121. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-90) - (-40)\/18. Is -1 + (0 - z - -266) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20726*11.\nAnswer: -227986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*0.17609\nAnswer: -0.0193699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09588 + -4295.90412. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 723645*f**2 - 43471956609*f - 20106376443513.\nAnswer: -3*(f - 120837)**2*(f + 459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b - 12. Let r = -1 - b. Let q(c) be the second derivative of c**4\/12 - 5*c**3\/6 + c**2\/2 + c. What is q(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23335, 24721, 26107?\nAnswer: 27493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + a. Let t(f) = -15*f**3 - f**2 + 3*f. Let p(c) = 4*n(c) - t(c). Let x be p(-1). Let j = x + 21. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 618223085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1053 in 0.4, -0.1943, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41950 + -60?\nAnswer: 418b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 818\/5 - 63086\/385. Calculate the common denominator of l and -1\/5.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 k when four letters picked without replacement from {h: 9, k: 3, g: 4}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -15 (b) -0.1 (c) 158 (d) -3 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 40.715?\nAnswer: 40.715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-100))\/(3\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + -14?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:40 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6 = -2*y. Suppose -2*d + 16 = y*d - 5*r, r - 49 = -5*d. Calculate the highest common divisor of 45 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 982, 988, 992, 988, 970, 932, 868?\n\"Answer: -f**3 + 5*f**2 - 2*f + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -7) + (6 - (-1 - -8)) + 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 36. Let u = q + 6. Which is the nearest to u? (a) 0.5 (b) -2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 9*k - 5*k - 2*z, 0 = -4*k - z + 20. Solve -7 = k*t + 3*r + 4, 2 = -r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1594 + 1706. Let o be (-2)\/(-7) + 96\/7. What is the highest common factor of o and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-55) - 30\/(-50) - 1. What is the smallest value in f, 2, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -130*q + 133*q - 93. Calculate the greatest common factor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 236*q**3 + 2*q**2.\nAnswer: 236*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 + 113011?\nAnswer: 112323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -0.0379789584.\nAnswer: 0.9620210416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14188302 or -14188390?\nAnswer: -14188390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4650336 is divided by 2935?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + x - 11. What is d(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0787 + -72.3.\nAnswer: -72.2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let r(d) = -774033*d**2. Calculate r(o(z)).\nAnswer: -774033*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-70)*-10*(-4)\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t - 18. Let y be k(3). Differentiate -3*j + 4*j + 26 - y*j wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 11, y: 1, o: 4}. What is prob of sequence of?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:46 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/402280617 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 12:47 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Find the third derivative of 0*z**a + 2*z**4 - 5*z**2 + z**4 wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (62\/4)\/((-5)\/(-20)). Let w be 4\/(-12) - m\/(-6). Let d = 13 + -13. Solve -5*v + 0 - w = d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.30434 nanometers in meters?\nAnswer: 0.00000004030434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 158*y - 7 + 14)*(-5*y**2 + 3*y**2 + 3*y**2).\nAnswer: -158*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -120*-2\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 83\/(-9) + 22\/99. Let l be (-20)\/b - (-8)\/(-36). Suppose l*c - 165 = -c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.00000068 - 29. What is r rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 - 12*v**2 + 5*v**2 + 521*v**3 + 47*v**3 + 481*v**3.\nAnswer: 1049*v**3 - 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/96 and -49\/13728?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577662 is divided by 68594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -14, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + (-21)\/(-90). Let z be (-2 - -4) + (-3)\/(9\/(-96)). Suppose r - z + 30 = 0. What is the second biggest value in r, q, 2, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 2*s + 5557659. Let g(h) = h. Give c(g(q)).\nAnswer: -2*q**2 - 2*q + 5557659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13443104 (base 5) in base 15?\nAnswer: 2b904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/15 + 83816*z**3\/15 + 178639054*z**2\/3 + 104694729744*z\/5 - 20998497888 = 0.\nAnswer: -20772, -365, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2 + 3*(-5)\/(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.325 + 1.0349. Round g to two decimal places.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c. Let f(i) be the second derivative of 0*i**2 + 1\/6*i**4 - 4*i + 0*i**3 + 0. What is h(f(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 25. Let r(t) = 6*t - 5*t - 8 - 2*t. Calculate r(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 29 + 35. Suppose -10*h = 14 - o. Suppose 0 = h*n - 0*n - 80. Solve 2*l - n = 2*x, 3*x - 5*x = 4*l - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.83 - 0.17. Sort 2\/11, o, 1\/3 in ascending order.\nAnswer: o, 2\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/63 and -13\/972.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - 11 - 8*q + 1088 + 9*q to o + m*q and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91898956 divided by 45949478.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l - 28. Let k be u(3). Let j = -4348188\/349 - -12459. Let d = -4522\/1745 - j. Is k less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*p = -381*p - 250*p - 15860 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26949262?\nAnswer: 2, 13474631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 5507.77.\nAnswer: 5499.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4865808 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/78 and 34\/39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 16 + 4. Let r be 1 - (0 - 0) - (-8)\/y. Solve 3*k = 2*k - r*m + 9, -3 = -3*k + 3*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 196*t + 598. Let d be i(3). Sort 1, -1, -33, d in increasing order.\nAnswer: -33, -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54771, 54772, 54773, 54774, 54775?\nAnswer: 54776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 16) in base 15?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o. Let j(v) = -v. Suppose -3*a + 100 = -a. Let x be ((-6)\/(-10))\/(10\/a). Suppose 2*k + h - 2 = 2, 3*k + x*h - 6 = 0. Give k*f(t) - j(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(8) + 0 - sqrt(6)\/(-4*sqrt(6)\/sqrt(2)).\nAnswer: -5 + 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 11 - 11)*(3*c + c - 2*c) - 1 + 1 - 2*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(21)\/(sqrt(14)\/sqrt(2)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164104 by -2248.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34.7, -1, 3, -4\/3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 280 = -k + 286. Which is the third biggest value? (a) -6 (b) -1\/4 (c) 0.3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12039894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60, 95, 140, 201, 284, 395, 540?\n\"Answer: w**3 - w**2 + 31*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/10)\/(212\/(-795)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 418.7595 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 5 + -25 + -1 + -2 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/12 and -7\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 283164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 18*l + 153. Let r = -51 - l. Solve -x - 5*j + 30 = 0, -j = x - r*j - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 64 = -5*q. What is the third derivative of f**6 - 19*f**2 + 16*f**2 - q*f**6 wrt f?\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and -0.825834.\nAnswer: -3.0555858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100902893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 565 and 1469868970.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/(-26) - (-165)\/5) + (-1 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + -3. Let f(k) = k. Let o(r) = r**2 + 10*r. Let s(m) = j*f(m) + 3*o(m). Determine z, given that s(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a1 - 1?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -319 + 37*v + 319 + 4 - 8*v - 4 + (5 - 1 - 3)*(1 - 1 + 2*v) + 2*v - 3*v + 3*v.\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.193 (b) 0.2476 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76725 and 711975?\nAnswer: 66213675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1991, 1994, 2029, 2120, 2291, 2566, 2969, 3524?\nAnswer: 4255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3797 - 0.2797. Which is the closest to 2\/3? (a) -32 (b) x (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 321 and 10?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*x + 135*x + 86*x + 76*x - 28*x.\nAnswer: 565*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1038\/24*((-8738)\/578 + 15) + 5\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.276 - -0.076. Let n = 8473\/5100 - -9\/1700. What is the nearest to 4 in -2, w, n, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 0*q**2 + 2*q**2 - q**2)*(-8 - 10 - 35) in the form h*q**2 + r*q + t and give r.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-22 - -21) + -2 + -1 + 12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(108) - (sqrt(108) + sqrt(108)*3 - sqrt(108))) - ((3 + sqrt(147) + sqrt(3))*1)**2.\nAnswer: -201 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-10)*(-1040)\/78. Sort 0, u, 2 in descending order.\nAnswer: u, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33701 is divided by 33445?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 2611781.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q**3 - 13*q**2 + 8. Let o(j) be the first derivative of 5*j**4\/4 - 2*j**3 + 4*j - 1. Let f(n) = -13*o(n) + 6*p(n). Differentiate f(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0342762105 rounded to 4 decimal places?\nAnswer: 0.0343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10960*k*u - 8285990*k - 420*u + 1 with respect to u.\nAnswer: -10960*k - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 = 9*k - 955. Let s(p) = p**3 + 8*p**2 + 5*p + 3. Let o be s(-4). What is the greatest common divisor of o and k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 4:17 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/360 - k**3\/3 - 10*k**2. Let u(q) be the first derivative of i(q). Let w(y) = y**2. Give w(u(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**7\/840 + 5*z**4\/24 - 33*z**2. Let r(h) be the second derivative of g(h). Let k(p) = 13*p + 1. Give r(k(w)).\nAnswer: -507*w**2 - 78*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-9)*3)\/((-4851)\/(-95634))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7.315835 * 0.11\nAnswer: 0.80474185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 less than -12091\/253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.1. Let n = 0.7 + k. Let s = 17010.6 - 17011.6. Which is the third biggest value? (a) n (b) s (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -2\/21 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 545746658 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let d(l) = -5*l**3 + 6*l**2 + 5. Let u(o) = 0*o**2 - 4 - o**3 - 2*o**2 + 5*o**3 - 3*o**2. Let x(s) = -5*d(s) - 6*u(s). What is -2*q(j) - x(j)?\nAnswer: -j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*t + 2*t - 19 = 0, -13 = -3*a + t. Let d = 7 - a. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**4 + q**3 + q**2. Let d(o) = -5*o**5 + 2*o**4 + 2*o**3 + 2*o**2 - 10*o. Let u(s) = -d(s) + 2*k(s). Find the second derivative of u(h) wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 + 0)) + -247 + 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 21, 50, 91, 144, 209?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405 + 1262 - 407 - 6*p**2 - 448 + 18*p**2.\nAnswer: 12*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 179620.5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Suppose 4*b + k = 1987, 0 = b + b - 5*k - 977. Suppose -4*a = 520 - b. Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h**3 - 2*h**2 + 1. Let y = -5 - -4. What is the smallest common multiple of k(y) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -394787*n**4 + 86432.\nAnswer: -1579148*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-nine fifths of a microgram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-387)\/(-172))\/(2\/(-8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*r - 7*m + 21, 3*r - 51 = 5*m. Solve -4*a = 4 - r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, 18, 70, 142, 234?\n\"Answer: 10*v**2 + 2*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 93\/(-15) + (-2)\/(-10). Let s(n) = 0 - 2*n**2 - 2 - n**2 + 2*n**2 - 7*n. Determine s(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140022370 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 34*i - 58. Let k = 591 + -586. What is the hundreds digit of f(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1885, 2, 18, 3 in decreasing order.\nAnswer: 18, 3, 2, -1885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - -12.4. Let a = -11.0000004 + t. What is a rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*m**2 - 4 - 1 - 56*m**2 - 39*m**3 + 3 in the form u + h*m**2 + q*m**3 + d*m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63420 and 2940.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0 - 1\/2*k**3 - 1\/2*k**2 - 1\/12*k**4 + k. Calculate z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 14*g**2 - 2*g + 5. Let o be d(0). Solve -3*y + 4 + 0 = 4*b, -o*y + 3 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3586 less than -3160?\nAnswer: -3160.3586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + t - 8. Let g be c(-3). Is 43 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(17) - ((sqrt(17)*-2 - sqrt(17)) + 5))**2 + -5 - (3*sqrt(68) + sqrt(68) + sqrt(68))*1).\nAnswer: -150*sqrt(17) + 876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 885548 (base 11) in base 6?\nAnswer: 50140544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12 and -68\/171?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 67*i**7\/14 - 101*i**4\/12 + 9*i - 8. Find the third derivative of m(w) wrt w.\nAnswer: 12060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0*s**2 - 1 + 2*s + 3*s**2 + (s - 2*s - s)*(3*s - 1 + 1) to the form x + m*s**2 + z*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-3\/8)*y**(-3)*(y**(1\/3)\/y*y)**(-33) assuming y is positive.\nAnswer: y**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 50115, -0.1.\nAnswer: -3\/11, -0.1, 50115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -243*c**2*g**4 + 2*c**2*g + 2418*c**2 with respect to g.\nAnswer: -972*c**2*g**3 + 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7391142 divided by 18\nAnswer: -410619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -473 + 442. Calculate the remainder when 95 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 8:06 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2600634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 6 + 30. Let g(l) = -l**3 + l + 1. Let d(q) = -3*q**3 + 6*q**2 + 3*q - 5. Let x(n) = d(n) - 2*g(n). Give x(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(280)\/sqrt(8) + 2*sqrt(175)\/sqrt(5))\/(sqrt(847) + sqrt(847) + (sqrt(847) - 2*-2*sqrt(847)) - 1*sqrt(847)*4).\nAnswer: sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*a - 75 = 196*a. Let w be ((-648)\/a)\/(-9) - -3. What is g in -w*g**4 + 138\/5*g**3 + 6*g**2 + 3\/5*g**5 - 75 - 105*g = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -35, 3, 0.5, 2\/9.\nAnswer: -35, 2\/9, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 74. Suppose -6*k = -n*k + 18. Suppose -3*u = 4 + 2, -4*u + 1112 = k*d. What is d rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/22 - -11)*(61\/20 + -3)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2024 and 87\/982652.\nAnswer: 1965304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 19)*(-3*m + 0*m - 5*m).\nAnswer: -200*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*i = 136*i + 36 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 3. Let l(k) = -17*k + 12. Let o(v) = v**3 + v**2 + 6. Let t be o(0). Let j be t\/27*3*-3. Let p(a) = j*l(a) - 9*r(a). What is p(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 394 - 324. Let w be (0 + -2)\/10 + 14\/v. Solve 5*g + 16 + 5 = 3*h, -3*h + 3*g + 15 = w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12720?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-3))\/(14\/(-21)) + -3. Sort d, -35, -6, 3 in decreasing order.\nAnswer: 3, d, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1233\/818 - -3\/409. What is the third biggest value in s, -24, 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -375569 - 3?\nAnswer: -37556c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10739 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -551*r + 4. Let l be (-10)\/(-3)*(-12)\/(-10). Let o be k(l). Round o to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74311 <= 817437\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122022 + -110220001?\nAnswer: -111112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95720 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b4 (base 16) in base 6?\nAnswer: 50244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1026 + -55055?\nAnswer: -54026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.14 (c) -0.4 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4688372 divided by -1\nAnswer: 4688372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) + (-22)\/(-6). Let n(p) = -p**2 + 2*p - 1. Let a be n(1). Suppose 5*v - 7 - 33 = 0. Solve 0*f + 24 = -5*f - 4*r, a = -h*f + 4*r - v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 78. Put -4, 0, 1, w in descending order.\nAnswer: w, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*r + 287*r = -4*a - 9, -3*a - 6 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:23 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51964 by -1269.\nAnswer: 51964\/1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (0 - 0)\/3. Let 12*b + b**3 + 11 - 1 - 2 + 0*b**p + 6*b**2 = 0. What is b?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8569 + -8551. Solve 0 = -110*u + 113*u + k for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105162?\nAnswer: 2, 3, 17, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a day in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40301, 40295, 40285, 40271?\n\"Answer: -2*r**2 + 40303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1334424 by 9.\nAnswer: 444808\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 5\/(((-8106)\/1623 - -5)*(-4)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -172?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9701 + -6098. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185085548570.3 take away 3?\nAnswer: 3185085548567.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k + 1. Let g be o(-6). Let b = -76 - g. Let m(y) = -y**2 + 14*y. What is the tens digit of m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 26*c - 7. Suppose -6*n + 4*g = -5*n + 41, 4*g = -n - 33. Let b = n + 52. What is the tens digit of h(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 7)\/((-1)\/2). Suppose 9 = l*t + 21. Let p(g) = -g**3 + 22*g**2 + 23*g + 5. Let n be p(23). Sort -5, t, n.\nAnswer: -5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((545\/872)\/((-3)\/8))\/(-70)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from iziieiiiiliii.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104680?\nAnswer: 2, 5, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*3\/27)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllqqlllll. What is prob of picking 1 q and 1 l?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -27, -30, -33?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*v - 1318*v + 66365 + 28346 = 1580*v for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/20)\/(3\/(-15)). Suppose n = -3*o - y + 5*y, -2*o = -y - 3. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1574028 centuries in years?\nAnswer: 15.74028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3438 = -5*j - f, 4*f - 2406 = -3*j - 333. Let y = j + -683. Solve 0 = 2*r + a - 0*a - 11, -y*a = 4*r - 32 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 35, 64, 93?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4757 + -4755. Solve 5*u - 2*u = -5*q + t, -3*u - 4*q = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 12. Let u(p) = p**2 - 11*p + 11. Let m be u(10). Let g(q) = -m + d*q - q + 2. Calculate g(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -h, 4*z = -3*h - 4 + 2. Let p = h - -13. What is the remainder when 40 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -8 - (1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 268 - 256. Determine v, given that 15*v**2 - 35*v**3 + 35*v + w + 5004*v**4 - 5029*v**4 - 2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Suppose -4*b - 102752 = -3*s - v*b, s - b - 34251 = 0. Suppose -4*h + s = 234252. What is h rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -148f?\nAnswer: 148a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 226*121\/10 + (-33)\/55 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6 - 2*y**2 - y**3 - 1 as x*y**3 + l + g*y + c*y**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 2. Let k(f) = f - 2. Let s(y) = -2*k(y) - 3*x(y). Let o be s(3). Let g be 525\/(-2)*(-8)\/o. Calculate the highest common factor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 64537 = -54*a - 7729. Calculate the greatest common factor of a and 3945.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -3*j**5\/40 - 4*j**3\/3 + 2. Let g(v) be the third derivative of i(v). Let p(b) = b**2. Calculate p(g(f)).\nAnswer: 81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8928 by 16.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 5*m - 4. Let p be (-16)\/(-7) - (-36)\/(-126). Let u be k(p). Solve -u*x - 15 = -7*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2247*m + 2063*m - 4313*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*o - 7. Suppose 28952 = -o*n - 31048. Round n to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*o*p**3 + 49290*o*p**2 - 43*o*p - 132*p**3 - 499*p**2 - 63 wrt o.\nAnswer: 7*p**3 + 49290*p**2 - 43*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-72)\/27)\/((-4)\/(-78)) + (4 - 1). What is the closest to 1 in 0.3, -3, 2\/3, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 94845796 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5607336?\nAnswer: 2, 3, 7, 33377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 9:24 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 2:07 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -57 - 37 + r**3 + r**3 - r**2 + 89 + 4*r. Determine n(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 28*b**3 + 22*b**2 + 22*b + 8653. Let q(x) = 10*x**3 + 8*x**2 + 8*x + 2885. Give 11*q(j) - 4*r(j).\nAnswer: -2*j**3 - 2877","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 20. Let k be 9\/(-6)*(-1)\/s. What is the third smallest value in k, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/2062120 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**5 + 33*k**5 + 28*k**5 + k**5 - 26*k**5 - 7*k**5 + (2*k**4 + 2 - 2)*(-2*k + 0*k + 0*k) - k**5 - 5*k**2 + 5*k**2 + 0*k - 2*k**5 + 0*k.\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 41455*b**3 - 1 - 41457*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 6 = -t. Let j = 26 - 13. What is the greatest common factor of t and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4855743704 and -2.4191.\nAnswer: -1.9335256296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymyp when four letters picked without replacement from {y: 2, p: 5, r: 1, m: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002937105501 rounded to seven decimal places?\nAnswer: -0.0002937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d. Let p(k) = 3495*k. Give n(p(x)).\nAnswer: -6990*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 126, 3, -3 in ascending order.\nAnswer: -3, -1, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/(550\/22))\/(30\/(-252)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 - p + 45. Suppose -95*f + 639 = -89*f - 423. Calculate the remainder when f is divided by m(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2451 (c) 0.4 (d) -166 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*y + 21, -4*g + 4 = -2*y - 2*y. Suppose -w + 5*m + 26 = 0, 0 = -y*w - 2*w + 4*m + 104. Calculate the remainder when 75 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 1454*c + 28708. Calculate t(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + -1 + -2 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100408 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -24, 93, 358, 819, 1524, 2521?\nAnswer: 3858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 111 = 6*i - 327 for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 65 = x. Let f = x - -55. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 + 6 + 3*u**2 + 7*u - 5. Let l be c(8). Is 17 a factor of (-8)\/(-28) + (-278)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13165871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -371017 divided by -1\nAnswer: 371017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 12417?\nAnswer: -1\/12417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -27*l + 82. Let n be t(3). Solve -n = v - 3*v + 3*d, -3*d + 13 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14d - -5ab8?\nAnswer: 5969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7392330 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, 3\/4, 0.067, 3\/8 in ascending order.\nAnswer: 0.067, 3\/8, 0.5, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338688465 by 112896155.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 550427303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -479.41 less than 6202293.18?\nAnswer: 6202772.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 15*g**2 + 14*g + 3. Let b be r(-14). Suppose -3*p - 169 = -5*q, -3*q - b*p + 5*p + 102 = 0. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - i + 4*i = 1090, -2*h - 3*i - 1090 = 0. Let c = 315 - h. Suppose 0 = 4*v - 4*q - c, 2*q - 344 - 281 = -3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-216)*-6*8\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/240065 and -61\/25935?\nAnswer: 9362535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1096 and -9?\nAnswer: 9864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*m + 20750 = 252*m - 91*m for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49741 - -49741. Let f = -9 - -8. Sort f, 4, u, 11 in descending order.\nAnswer: 11, 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1078)*2 + sqrt(1078) + sqrt(1078) + sqrt(396)\/sqrt(2) + sqrt(22))\/(sqrt(110)\/((1*sqrt(90))\/sqrt(9)))*-6.\nAnswer: 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5, -11096, -1\/4?\nAnswer: -11096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*q - 24 = -s, -3*q + 13 = 2*s. Let n = q - 2. Suppose -170 = -n*x + 35. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 926 divide 51964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 - 8205*g - 8208 = 0 for g.\nAnswer: -1, 2736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -53*w**7\/210 + 7*w**4\/3 + 16*w**2. What is the second derivative of r(i) wrt i?\nAnswer: -636*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -213, -331, -457, -591?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 105.866. Let l = k + -1.406. What is l rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304856.\nAnswer: 2, 3, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 24795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 1 (c) 0.6 (d) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29daaa - -1?\nAnswer: -29daa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from {e: 3, t: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 851.5139 micrograms?\nAnswer: 0.0008515139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:23 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + 2*w**3 + (3*w**2 + 2*w - 2*w)*(-4*w + 2*w - w))*(-w**2 + 2*w**2 + 2*w**2) + (0*w**4 + 0*w**4 - w**4)*(3*w - 14*w - 7*w).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -62) + 91 + -101\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from fznnnpnzo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4351418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c + 0*c + 0*c + 2*c to the form b*c + g and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 130 = 29*w. Solve 0 = 2*y - 3*a - 14, 4*y - 2*y - w = 2*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 423\/80 - -29\/16. Let g = 108617\/28 - 3880. What is the common denominator of g and t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 11*x - 70, -3*d - 2*x - 1453 = -1452 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 16. What is the remainder when o(6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:49 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 17. Suppose 2*g - 4*m = 120, -g + 126 = g - m. What is the greatest common divisor of j and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4036242, -4036223, -4036202, -4036179, -4036154?\nAnswer: -4036127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -57. What is the closest to -2\/3 in p, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15991 - -1.01984. Round l to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6216 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: Suppose -c - 50 = -88. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/2 + -27 + (-410)\/(-15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04282, 0.23, -1\/7, -0.2?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 76*q + 115*q**2 - 115*q**2 as m*q + u + f*q**3 + c*q**2 and give m.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31361344 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**2 + 2*y**2 - 2*y**2 + (2 - 2*y - 2)*(-3 + 2*y + 3) + (-3*y - 2*y + 3*y)*(0*y - 3*y + y) - 3*y**2 + 4*y**2 + y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 10*x**2 + 6*x + 4. Let a(k) = -k - 2. Let d be a(7). What are the prime factors of u(d)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 675 or 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 15*l**2 + 14*l. Let u be r(-14). Let w be 1 - (u + (1 - 2)). Solve 5 = 3*s + w*t + 2*t, -40 = 3*s - 5*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 45 = -n, w + 6138*n = 6140*n - 20 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*y + 29, 2054 - 2060 = 4*j - 11*y for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4422094*n + 18145143 wrt n?\nAnswer: -4422094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-104)*4\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -14, -4, 5 in descending order.\nAnswer: 5, 3, -4, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7965 and 590?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -130583 and 609708.98?\nAnswer: 740291.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 7*q**2 + q - 1. Let b(m) = -6*m**3 - 10*m**2 - m - 3. Calculate b(o) + t(o).\nAnswer: -7*o**3 - 17*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r**5\/2 + 171*r**4\/4 - 569*r**3\/4 - 171*r**2\/2 + 18*r = 0.\nAnswer: -12, -2\/3, 0, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90\/407 + 33437\/16280. Let s = 24884 - 870872\/35. Calculate the common denominator of s and l.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -28*h**2 + 5*h + 8. Let l(q) = 29*q**2 - 6*q - 7. Let r(d) = -6*g(d) - 5*l(d). Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:25 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*j + 190. Let c = j - 14. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6737 bigger than -6737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 435 + 129 = 0. List the prime factors of (-3 - (z + 1)) + (-2)\/(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023851 rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:04 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/((-2)\/6). Let m = 22 + c. What is the remainder when 69 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 + 10*f**3\/3 + 10*f**2 + 49. What is the tens digit of c(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 29087 + 25160 = -151*s, 4*s = -2*y + 106 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8334, 8193, 7958, 7629, 7206, 6689?\nAnswer: 6078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18150 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 20*f**3 + f**2 - 6*f - 4. Calculate j(2).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1 - 14\/154. What is the nearest to 3 in -5, c, 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-3))\/(2\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Solve 4 = a*r + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 6*i**2 + 13*i**2 + 8*i - 12*i**2 - 37.\nAnswer: -5*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -10*w + 5. Suppose 0 = -4*z - 4*g + 39 - 7, 5*z - 16 = g. Calculate the remainder when r(-5) is divided by 4505\/159 + z\/6.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*d = 0, -4*d - 8 = v + d. Solve -2*n + 7 = -q, -1 = v*q + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -613.36?\nAnswer: 613.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1284108 and 480?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + -2 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26033 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {l: 9, q: 1, r: 2, a: 1, h: 2, m: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + -7 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47794186?\nAnswer: 2, 11, 997, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6581062 millimeters to centimeters.\nAnswer: 0.06581062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*r + 5*a - 889, r - 8*a - 2*a + 35 = -11*a - a for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*l - 18, 3*l - 2*f - 2*f - 11 = 0. Suppose 3*u = 12, -l*u + 179 + 5 = 4*o. Suppose -3*i + 248 = o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/8)\/1 - 15\/(-2). Let l = 16\/3 - p. What is the closest to 0.1 in -5, -5\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 6, -58, -108, -138, -142, -114?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 - 2145381*a**2 + 14*a**3 + 2145381*a**2.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/((-3315)\/(-3978)*4\/(-225)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 4. Suppose 5*l = 4*r + 36, r = 5*l + f*r - 16. Solve u = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g - 4. Suppose -5*h + 0*h + 3 = 3*y, 4*y - g = 2*h. Solve 0 = d - 5 - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 37 = 8*k - 13*k, 24 = -4*k + o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((42\/216)\/7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*u = 37*u + 15*u - 3735 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -284367.391 - 83.43\nAnswer: -284450.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57797 = 104*w - 48907. Calculate the greatest common factor of 189 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-1\/16)\/l))\/l**3)\/(l**(-1\/5))**28 assuming l is positive.\nAnswer: l**(373\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -211.\nAnswer: 3\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/3 + 21*s + 2. Let j(p) = 17*p + 7*p - 10*p. Determine x(j(m)).\nAnswer: 784*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h**2 - 1. Suppose 3*w = 4*w + 1. Let q be s(w). Let o = 4 - q. Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 8 - 16 + (0 - 1 + 0)*(-1 + 2 - 3))*(-6*k - 10 + 10)*(32 - 18 + 15).\nAnswer: -2610*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21489 divided by 57\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 + 2 = 4*q. Suppose 2*n - s - 20 + 7 = 0, 0 = -4*n - s + q. Solve 0*b - 5*b = 4*k + 14, 2*k - n = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2366 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -17*m - 1874. Let d be z(-110). Put 219, 0.12, d in increasing order.\nAnswer: d, 0.12, 219","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1431b5 + -4?\nAnswer: 1431b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-278.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348387 is divided by 302.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-1 - -3))\/3. Let y = u + 2. Solve 17 = 5*l + y*z, -3*l - 2*l + 19 = 4*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445457?\nAnswer: 3, 13, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*f + 9. What is a in -3*a**2 - 5*a**2 - 6*a + 2*a**f + 3*a**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, x: 2, j: 6}. What is prob of sequence kxkx?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 16. What is the closest to 0.3 in 1\/2, z, -1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205454848 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -5*p + 4, -3*p = 11*w - 9*w + 4. Let m(s) be the third derivative of 0*s + 0 - 2*s**3 - 5\/12*s**w + 6*s**2. What is the derivative of m(u) wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 3114794d?\nAnswer: -31147950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4387, -20049, -46149, -82687, -129663, -187077, -254929?\n\"Answer: -5219*y**2 - 5*y + 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25624.4684 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1)*(-6)\/(-90)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 311, 3, 14 in decreasing order.\nAnswer: 311, 14, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1382 = 5*w - 257. Let t be 50\/w - (-20)\/9. Suppose -t*v + 335 = 5*f - 7*v, 4*f - v = 256. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -0*d - 60. Suppose 13*n = d*n + 474. Let t(s) = -165*s + 321*s - n*s + 4*s**2. Let y(w) = -2*w**2. Determine t(y(u)).\nAnswer: 16*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29648 is divided by 2857?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 33*y**2\/2 + 28*y + 2. Is w(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) + sqrt(2016) + (sqrt(2016)*-4 - sqrt(2016)))\/(sqrt(7) + (sqrt(1008) - sqrt(1008)*-2 - sqrt(1008) - sqrt(7))) + -4)*-3.\nAnswer: 9*sqrt(2)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1775 and 136462.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 47*j - 247. Let z be u(9). Calculate the highest common divisor of 286 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 5*h + 31 = 0, 115*n - 110*n - h - 13 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 38 - 194 = 0. Suppose j - w = 1. Let g = 529\/10 - j. Put g, -5, 2 in ascending order.\nAnswer: -5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21561841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 137*t = 104*t + 600. Let k = -2 + 4. Calculate the remainder when t is divided by ((-26)\/(-8))\/(k\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -401.22 and -2146.520233.\nAnswer: -2547.740233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53 and 57.\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 10207507 + 2*q**2 + 7737920 - 3804865 - 10636*q = 0.\nAnswer: 2659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, f: 1, x: 1, k: 3, w: 4, h: 5}. Give prob of picking 1 k and 2 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1239*d + 235. What are the prime factors of z(-1)?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, -11\/10, 6, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -201*u - 2626 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + 3*q + (-5 + 3 + 5)*(-5 - 11*q - 2 + 10*q).\nAnswer: -2*q - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 2\/7, -16, 636, 4 in decreasing order.\nAnswer: 636, 4, 2\/7, -1, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.162 - 8.062. Let u = 0.1 - j. Let o = u + -9. What is the third smallest value in 3, 2, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36056641 (base 7) to base 11.\nAnswer: 188a417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 0.2 (c) -4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -103. Let b = -59 - t. Solve b*a = 3*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:45 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -106203*s + 530955. What is c(5)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3 - 2277*g**2\/2 - 2280*g - 11151. Suppose v(h) = 0. Calculate h.\nAnswer: -1, 760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18036\/184 - -42*32\/(-61824)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3310 is divided by 558?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 256 - 185. Let m = 71.8 - y. Sort 3\/2, m, 13 in decreasing order.\nAnswer: 13, 3\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*g = -4*a + 120, -3*a + 3*g = -90. Let i be (-2)\/(-12) - (-55)\/a. Suppose -i*o = 14 - 44. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*n - 12, 4*n - 5*l = n + 9. Suppose 0 = n*j + 4*t + 6, 0 = -j - 0*t + 5*t + 17. Calculate the remainder when 7 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 576195.3 days?\nAnswer: 49783273920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/24 + ((-20)\/(-50))\/(8\/280)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 4*s)*(26 - 3*s - 26).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and 24.59.\nAnswer: 24.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/7 + 6*l**4\/7 - l**3\/7 - 24*l**2\/7 - 16*l\/7 = 0 for l.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*s + 69 = 302, -2*s + 454 = 2*m. Let i be 3\/9*5*m. Suppose -5*l + 270 = -i. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) - (sqrt(5) - -3*sqrt(80)) - sqrt(5)) + -5.\nAnswer: -13*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*m - 15. Let i = 18 + -11. Solve 0 = h + m*c + 28 - 6, 0 = 4*h - 3*c - i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 + -47?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 9*m. Find the third derivative of -6*h**2 - h**4 + 0 + m + 5 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 1393\/3 - 466. Let i = -1.4 + 2. Let a = -5.6 + i. Sort y, a, 1\/3 in decreasing order.\nAnswer: 1\/3, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217704641573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.132\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:41 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10112 + -13?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*s + 454 - 15631 - 5*s**2 - 138*s.\nAnswer: -5*s**2 - 15177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17584 = -10*c - 17694 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4287, -4284, -4279, -4272, -4263, -4252, -4239?\n\"Answer: h**2 - 4288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1466 + 1328 = 11*s. List the prime factors of s.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7632\/72 - 575568\/5432?\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.23 + 18.77. Which is the third biggest value? (a) f (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 1:22 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6610 - -2?\nAnswer: 6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1284 divided by 214.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024453 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 3*u**2 + 2*u - 3. Let w be y(-4). Let x = 35 + 19. Suppose x = 3*t - v - 2*v, w*t - 58 = -3*v. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 863?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + x**2 + 9*x**2 - 11*x**2 + 11 to the form b + p*x**3 + r*x + y*x**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 299\/4. Let z = -59 + 58. Which is the closest to z? (a) 3\/67 (b) 2\/11 (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/7951 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4 = -4*s + 3*h, s + 4 = 2*h. Suppose -k + 2*k - 8 = -5*y, -s*k + 32 = -4*y. Solve -2*w - 2*z = -3*w + 4, -5*w - k = -3*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 721.\nAnswer: -64.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447896683.0000041 - -447896737. Let p = -121 - -67. Let d = p + q. What is d rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69921\/13 - 9229433\/1716. Find the common denominator of a and -121\/36.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:05 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, s: 2, o: 2, w: 8, x: 2}. What is prob of sequence wswy?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/525*(-165)\/(-1210).\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 + 3*v - 8. Let h be x(-8). Let m be (h\/(-3))\/((-14)\/(-63)). Is -48 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98884 take away 0.9?\nAnswer: -98884.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 25*d + 29 + 23 - 27*d. Let a(p) = 27*p + 466. Let w be a(-17). What is the remainder when i(w) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.03 (b) -0.2 (c) -5211 (d) 1 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/4)\/m))\/m*m**(4\/5)*m*m**(1\/2)*m**2\/m*m*((m*m**(-3)*m*m)\/m**(-6))**(-6\/11) assuming m is positive.\nAnswer: m**(391\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215 + 224. Let d be (-4 + 3)*(-5)\/1. Suppose 2*k + y = -d. Is k < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (10 + 76 + 23 - (-1 - -9)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s*s**(3\/7))*(s*s\/(s**(-1\/3)*s)*s)**48)\/(s**(-5)*s**(-7\/6)*s)**(2\/7) assuming s is positive.\nAnswer: s**(2458\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 2*q**2 + 3*q + 3. Let n be 2 + (-2 + 2)\/3. Let r(m) = m**3 + 4*m**2 - 2 - n*m**2 - 25*m + 23*m. Calculate -3*r(g) - 2*v(g).\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -16, -0.3, -86.\nAnswer: -86, -16, -1, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (8115530\/(-8))\/(-26 - (-4653)\/188) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2\/(-10) + (-721)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1130 and 520.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 66.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 5:08 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 87646?\nAnswer: 70116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67459 - 67459.00049091. What is y rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -70. Let t(b) = 3*b**2 + 5*b + 5. Let m(q) = 3*q**2 + 6*q + 6. Give d*t(c) - 5*m(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111 (base 2) in base 4?\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -343?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 107300, 2, 0, 3, -2 in ascending order.\nAnswer: -3, -2, 0, 1, 2, 3, 107300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 53, 64, 75, 86, 97?\n\"Answer: 11*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, w: 10, r: 1, t: 2, n: 1}. Give prob of picking 2 w and 1 p.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 + (-27 - 124) - (-1 + 11).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/(-5) - (-4)\/(-20). Let w(s) = -s**2 + 6*s + 8. Let a be w(6). Let x = p + a. Solve j + 4*j = x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2838.4 to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/29628077 and -49\/213854.\nAnswer: 1362891542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -287367 or -287347?\nAnswer: -287367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6*(-1 + -2). Solve n = -l*n - 5*b - 12, 0 = 4*b + 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35117.\nAnswer: 35117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96136 and 26108?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4029 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 8. Let a = 5 - y. Let f be (-1)\/((1 + -4)*(-4)\/(-24)). Sort a, f, 0 in ascending order.\nAnswer: 0, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16117 (base 13) to base 6\nAnswer: 522044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 4\/5 (b) -393 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/((sqrt(99)*1)\/sqrt(9)))\/(6*sqrt(162)*-1).\nAnswer: -sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 65.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765832543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18*-8 + -14 + (-336)\/(-36)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08066 - -0.09066. Which is the third smallest value? (a) n (b) 3 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8))\/((-4)\/(-6)). Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478240 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-11 + 4)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242 (base 7) to base 10.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 40*z. Let c(i) = 9*i**2 + 5*i + 5. Let l(q) = 28*q**2 + 16*q + 16. Let b(k) = -16*c(k) + 5*l(k). Determine b(w(r)).\nAnswer: -6400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76911, 153814, 230715, 307614, 384511, 461406, 538299?\nAnswer: 615190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2023124231 - 4?\nAnswer: 2023124223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 334694 - -13337001\nAnswer: 13671695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + 0. Let y = 0.3 + b. Let s = 0.9 - y. What is the closest to -0.1 in s, -2\/7, -1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27481.2 - -27481. Which is the nearest to v? (a) 16 (b) -3 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11307 and 116571401?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 2, n: 2, s: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 384*p**3 - 116*p**2 - 116344 wrt p?\nAnswer: 1152*p**2 - 232*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4 - 1. Find the third derivative of g*c**2 - 17*c**3 + 10*c**3 + 2*c**2 wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4898, -4 in ascending order.\nAnswer: -4898, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25374.54ml?\nAnswer: 25.37454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 n, and 1 f when four letters picked without replacement from {y: 10, f: 1, n: 5, d: 1}.\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from nznnsnllsyuuzlnszns.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.245352016487 plus 5?\nAnswer: 305.245352016487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-27)\/(-798))\/((-198)\/231)*56\/(-126).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 = 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:59 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*y**3 - 529*y**3 - 432*y**3.\nAnswer: -676*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**7\/210 + 17*d**6\/120 + 355*d**3 + 947*d**2. Differentiate p(z) wrt z.\nAnswer: 4*z**3 + 51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235876021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2 - 42035672*k + 42035674 = 0.\nAnswer: -21017837, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881 + 1015 = 419*x + 1648. Let a(w) = -3*w**3 - 21*w**2 - 12*w - 10. Let o(y) = y**3 + 7*y**2 + 4*y + 3. Let h(v) = -3*a(v) - 8*o(v). What is h(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + -3.3. Which is bigger: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 872908 and 7280.\nAnswer: 1588692560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 61*i + 1601. Let n be l(-26). Let p(c) = -2*c + 21. Determine p(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let h be -3 - -8 - 750\/(-12)*4. Let m(v) = 114*v + h*v - 132*v + 170*v. Determine b(m(a)).\nAnswer: 165649*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025*d - 516*d - 513*d = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155089 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 n be (2\/(-12))\/(32\/(-12) + 2). Determine x so that n*x**3 + x**2 + 0 + x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45.36 and -0.2.\nAnswer: -9.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m - 3. Let l(c) be the third derivative of 1\/12*c**4 - 1\/6*c**3 + 0*c + 0 - 5*c**2. What is -9*l(y) + 4*r(y)?\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 17. Let g = 13 - t. Put g, 5, -5 in increasing order.\nAnswer: -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.85001 + -0.14699. Let t = -19 + 12. Let c = t - d. What is c rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -26 - (11 - (1 + (-2 - -6) + -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.929 and -669320.\nAnswer: -669328.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148221 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20533.\nAnswer: 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 + 18 = 0, -5 = 5*y - 5*r. Let k = -6 + 8.5. Let u = 3 - k. Which is the third biggest value? (a) -3 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -317*j**3 + 641*j**3 + 107*j - 365*j**3 + 20*j as r*j**3 + z + c*j + h*j**2 and give c.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 3*m - 5*m)*(3*m + 4*m - 6*m)*(2*m**2 - 2 + 2).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42548 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659 is divided by 1571?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96535 is divided by 8814?\nAnswer: 8395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.16953 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 101, 206, 353, 542, 773?\n\"Answer: 21*n**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3946*q + 8215*q**2 - 10397*q**2 + 4 - 4 wrt q?\nAnswer: -4364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226 - -228. Solve -5*m - y*o - 5 = 7, 5*m - 5*o + 5 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 1. Let u be h(1). Suppose 5*q - a = -12, -q - a = -u*a. Let m = -34 - -35. What is the smallest value in 2\/3, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w**2 + 1. Let c(y) = -8*y**2 - 1. Give -5*c(u) - 3*k(u).\nAnswer: -5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/95, -8, 2\/23, -5, 2\/11 in descending order.\nAnswer: 2\/11, 2\/23, -3\/95, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 460 = 170. Which is greater: 104 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 7*f - 6. Let s be y(6). What is the units digit of (s + -12)*(-3)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:32 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/56*-2*2*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2876 - -4228. Suppose 4*z = p + 3524. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 329?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/6 + 2113*d\/6 + 4234\/3 = 0?\nAnswer: -4, 2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 34*w - 192 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**4 - g**4 + 0*g**4)*(109 - 24 - 23*g + 22*g).\nAnswer: -5*g**5 + 425*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 604, 603, 602, 601, 600, 599?\n\"Answer: -i + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(6\/72). Let x be (q\/8)\/(6\/32). Solve -3*f = -x - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138843613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 - 185. Put l, -3, -0.3, 3\/5 in ascending order.\nAnswer: l, -3, -0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i - 3. Suppose 2*o - 5 = -1. Suppose 4 = -o*d - 0. Calculate g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 less than -200\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 557*i + 29299. Give d(208).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 7, -4744 in increasing order.\nAnswer: -4744, -5, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*o = 15, 2*o = -3*t + 6*t - 19. Suppose -4*q = -1 - 11. Solve t*f + 7*c - q*c = -2, -3*f + c = -9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g + 5*h + 24, 4*h = -g + 60. Let j = -9 + 22. Suppose w - 15 = -4*u + j, -5*u + w + g = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 113*x - 1596. Let o be j(-149). What is the highest common divisor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f, 0 = -t - 5*f + 10 + 19. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 342\/(-21) + 10\/35. Let g = 19 + i. Let j(b) = -b**3 + 9*b**2 - 9*b + 10. Let w be j(8). Solve 2*y = g*d - 1, w*d = -0*y - 4*y - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -118\/7, -1\/161, -0.5, -2 in ascending order.\nAnswer: -118\/7, -2, -0.5, -1\/161, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3627715 (base 10) to base 2.\nAnswer: -1101110101101011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*r - 29 = 4*s - 322*r, -4*s + r = 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1 (c) 0.124 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((16\/32)\/(-1)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3\/4*y**3 - 1557\/4*y + 594 + 123\/2*y**2 = 0.\nAnswer: -88, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -389, -712, -1035?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -351, -730, -1245, -1896, -2683?\nAnswer: -3606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208284?\nAnswer: 2, 3, 17, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 2803507?\nAnswer: -2803525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 985 (base 10) to base 13\nAnswer: 5aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*g + 137*g - 14 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -714 - -757. Calculate the remainder when 127 is divided by j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a38 (base 15) to base 10.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -47*h + 192. Let n be j(4). Which is the fourth biggest value? (a) -2 (b) 3\/4 (c) -0.4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 49\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116352407.\nAnswer: 167, 696721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 102003?\nAnswer: 102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*p - 57*p - 31*p - 295 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10527 and 4635147.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 882a + -16?\nAnswer: 8814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 22. Suppose -4*g - 3*j = -62, -r*g - j = -0*j - 83. Suppose -3*k + g = -0*h + 4*h, 0 = -5*h - k + 35. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -553\/9, -1, 0.036 in ascending order.\nAnswer: -553\/9, -1, 0.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -2 - (-945 + 929 + 134 + 1)\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 = -5*p + 12, 30 = 5*p + 5*q. Let m be -4 + -1 + p + -1. What is the third biggest value in m, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 2*y**2 - 1 + 2 + 5*y**2. Suppose -2*q + a = -4*q + 6, -a = -2. What is the units digit of m(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 9 = 3*l + 4, -5*l + 2*t + 7 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/4*(0 - 6)*2. Suppose w*r + 145 = 38*r. Solve -r*s + 0*s + 5*c = -25, 0 = -c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 32) + (-2)\/1. Let c = 52 + h. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Suppose u = -3*j + 5*b + 18 - 111, 5*b + 37 = -2*j. Let n = 49 + j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 13. Suppose -3*k - 63 = -p*k. Let l = 22 - k. Which is the closest to -2\/3? (a) -2\/3 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 650 and 68978.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1536)\/25088*42\/(-99)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 7:28 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 4*l**2 + 136*l + 260. Let t be b(-16). What is the highest common divisor of 672 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6784\/96 + -70 + -1*2*(-3)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1028 + 828?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 3*d + 3*k, 4*d - 6791*k + 29 = -6788*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a meter in centimeters?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 0.4, -0.5, 1829157?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwxwxppwppppmpxmx. What is prob of picking 2 w and 2 x?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -3\/5 (c) -2\/9 (d) -3\/16 (e) -3127.2 (f) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 - 33 - 117) + 59.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.915 - 1.515. Let s be (8\/(-48))\/((-1)\/3). Which is the closest to -34? (a) 4 (b) 0 (c) s (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(475) + 2*sqrt(475) + -1) - (-2*sqrt(475) + -1 + 2)) + -5)**2.\nAnswer: 160*sqrt(19) + 7616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30159, -30075, -29977, -29859, -29715, -29539, -29325?\n\"Answer: q**3 + q**2 + 74*q - 30235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, and 1 i when three letters picked without replacement from vcqvciiiviivvcc?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((675\/20)\/9)\/(3\/164). What is y rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/3 (b) -0.3 (c) -5352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*30\/9. Suppose -d*x + r = -14, 10 + 6 = -4*r. Suppose 4*o - 2*w = -4*w - x, -3*w = 5*o. Do -3 and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44001333 (base 6) in base 14?\nAnswer: 2602c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {p: 3, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 11*x - 9. Let r be n(12). Let z(w) = 17*w - 9. Let u be z(r). Let h = 85 - u. Calculate the remainder when h is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*p - 302*p + 2424 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.56 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9499 - -9526. Solve 10*t = v*t + 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/46 and (-1)\/1 - (-5123)\/282.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**7\/420 - 7*j**6\/360 - 29*j**5\/120 + 5*j**4\/3 - 33*j**2. Let s(v) be the second derivative of g(v). Is s(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239\/10 + -24. Let u(g) = -4*g**2 - g. Let v be u(-1). Let z be 1\/v*(-7 - -4). What is the nearest to 1\/4 in z, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 293*y - 293*y - 96*y**3 + 2*y**3 - 2*y**3 + 8*y**3 + (0*y + 0*y - 2*y**2)*(0 - 2*y + 0).\nAnswer: -84*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70662597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose i + 5*x = -z*x + 20, 0 = -4*i - 4*x + 16. Which is smaller: 2\/15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 95 - 63 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317837 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 849\/4495 + 10\/899. What is i in k*i**2 + i + 3\/5 - 1\/5*i**3 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 4*j + 7. Let g be s(5). Let i(a) = 0 - 4*a**2 - 6*a + 7 + 5*a**g. Let m be (-1 + 16)*(-1)\/(-3). Determine i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.1373?\nAnswer: 0.01373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-4)\/(-3)) - -2. Suppose -2*k = k - c - 294, -k = -v*c - 84. Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02042 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001348962 to six decimal places.\nAnswer: -0.001349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/232 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let h = 0.7 + q. Suppose 0 = -4*l - 6 + 2. Which is the second biggest value? (a) l (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -372979*z**2 - 4*z - 8. Let t be o(-2). Let u = 2853907 + t. Suppose -u = -3*h - 3*p, -p = -2*h - h + 1362003. Round h to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + 0 + (37 - 36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224850.\nAnswer: 2, 3, 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 1, u: 2, b: 2}. What is prob of picking 1 n and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 - 31*k**2 - 18*k**2.\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgvg when four letters picked without replacement from {g: 7, f: 2, v: 2}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y - 657708 + 657708)*((0 - 3 + 5)*(y + y - 4*y) - 2*y + 3*y - 2*y + 3*y + 3*y - 7*y - y + 5*y - 8 + 11).\nAnswer: -18*y**2 + 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h + 1323 - 1386. Calculate the smallest common multiple of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 7. Let s(n) = -115*n**2 - 216. Let x(i) = 43*i**2 + 80. Let g(r) = -10*s(r) - 27*x(r). Give y(g(h)).\nAnswer: -363*h**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.947 to one decimal place.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/7)*r**(-2\/3))\/(r\/(r**(2\/5)*r))**(5\/4) assuming r is positive.\nAnswer: r**(17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 10 + -21 - -239 is divided by 8*6 + -1 + -1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20253 by -6751.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000011 + 1111010101?\nAnswer: 1010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.9 + 17. What is the biggest value in y, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*f**3*n**2 - 6*f**3 + 473*f**2*n**2 wrt f.\nAnswer: -174*n**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4004140110 (base 5) to base 2.\nAnswer: 11110000011111111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 - -1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45830514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*(4\/(-2))\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/47 and -17\/2162.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 731 + 1178 - 88 - 37 + 826)*(3*v**2 + 10*v**2 + 22*v**2) to r*v + o + n*v**2 and give n.\nAnswer: 91035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 608?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(153) + sqrt(153)*2 + 2 + sqrt(153).\nAnswer: 5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68))**2 + 0 + sqrt(68) + sqrt(68) + 2*(-5 + sqrt(68)).\nAnswer: 8*sqrt(17) + 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 1. Suppose a = r - 4*a - 14, -5*r + 110 = -x*a. What is the greatest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**8*j)\/j*j*j*(j*j**(-1\/7)*j)\/j)\/(j**0)**(-17) assuming j is positive.\nAnswer: j**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 7:28 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05555120151 to 6 dps.\nAnswer: -0.055551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-3) - (-2 + 2). Let r(z) = -2*z - 3. Let y be r(d). Let n be (-66)\/y - (-4)\/(-10). Solve -n*o - 2 = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (5 - 1 - 11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 780*n - 173. Suppose -c + 9 = 5*q, c - 13 = -0*c - 3*q. Is t(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 0, -3*j = 6*b - 3*b - 135. What is the highest common factor of b and 765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191949 is divided by 406.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261716094 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78 - 360?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c - 8*c - 4*c + (-2*c + c - c)*(2 - 4 + 0) + 70*c - 14*c - 12*c as q + y*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 158, 240, 314, 380?\n\"Answer: -4*g**2 + 94*g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 41, 32, -4, -2, 3 in descending order.\nAnswer: 41, 32, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -24, -55, -108, -189, -304, -459?\n\"Answer: -x**3 - 2*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2307, 4615, 6923, 9231, 11539?\nAnswer: 13847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (13 + -7)) + -15 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 35023104\nAnswer: -7004620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 952 = -23. Let n = v + -80. Put 15, 4, -4, n in descending order.\nAnswer: 15, 4, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 7*s + 2. Let z(d) = -d**2 - d - 7. Let u be z(0). Let b be y(u). Factor 3 + 3*r**2 - b*r + 11*r - 3.\nAnswer: 3*r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -114, -448, -1082, -2070, -3466, -5324?\n\"Answer: -9*q**3 - 96*q**2 + 17*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -655.209597 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 50*u - 19. Is 22 a factor of b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 423348*c**3 + 14938256352*c**2 + 175843070498560*c + 3686120629266432.\nAnswer: 4*(c + 21)*(c + 35272)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 13*n**2 + 2*n**4 - 2 - 15*n**2 + 2*n to the form d + z*n + j*n**3 + v*n**2 + a*n**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.933857 and -20718.\nAnswer: -20717.066143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -70*k. Let d(a) = 796*a + 19. Give z(d(f)).\nAnswer: -55720*f - 1330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 - -230.9999689. What is z rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**7\/420 - 2*l**6\/15 + 7*l**5\/5 - 20*l**4\/3 + 52*l**3\/3 - 595*l**2. Let o(w) = 0. Calculate w.\nAnswer: 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:38 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23458821 to three dps.\nAnswer: -0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.83 (b) 1\/4 (c) 0 (d) 14\/5 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 1\/11 (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-354)\/16 - (-7095)\/(-3784).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 0.2, -5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/20, 0, 3\/4, 0.263, -1 in ascending order.\nAnswer: -1, 0, 1\/20, 0.263, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Let j = n + -2.2. Which is the smallest value? (a) j (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2175 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j - 14*j - 5*j.\nAnswer: -43*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -5*n**2 + 5\/24*n**4 + 0 + 1\/6*n**3 + 0*n. What is u(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 + 338)\/((-3)\/(-6000)). Suppose w = -54*m + 62*m. Round m to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 - z**2 - 2*z**2)*(-1 + 6 + 0)*(-1 + 2 + 4) as t + h*z**2 + f*z and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -86*a**2 + 853*a - 4252. What is h(5)?\nAnswer: -2137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 9624.\nAnswer: 9619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 830 divided by -33.\nAnswer: -830\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 788*o**3 - 5113*o + 2556*o + 2560*o to d*o**3 + k*o**2 + q + j*o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + k + 3. Let w(a) = -5*a**2 + a + 2. What is 2*o(g) - 3*w(g)?\nAnswer: 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/8)\/((-4)\/6*(-63)\/(-56)). Sort 0, n, -12, -4 in decreasing order.\nAnswer: 0, n, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10 + 9 - (-6)\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 28*r - 41*r + 13*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-2*r + r + 0*r)*(-5*r**2 + 10*r**2 + 6 - 5) to the form c*r + z*r**3 + a*r**2 + q and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, -1409 in increasing order.\nAnswer: -1409, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.92 + -0.08. Let p = 1967 + -1968. What is the nearest to p in 3, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209955814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -6*w - 3*j + 7, -5*j = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36499992 + -76503986747\/2096. Let c = -15\/131 - q. What is the common denominator of 2 - 1*(-41)\/(-2) and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 1. Suppose 0 = -3*u - u - 16. Let w be t(u). What is the units digit of 0 - (3 + -1 - w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 15*j**2\/2 + 6*j - 3. Is z(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26869945*a**2 - 2*a - 56415062?\nAnswer: 53739890*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193 + 204. What is the remainder when 41 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 1\/(27\/87). Suppose 3*k - 2 = 2*k. What is the nearest to -1 in g, 2\/13, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1, -551\/4, -14 in ascending order.\nAnswer: -551\/4, -14, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2055 - -2047. Which is the closest to 5? (a) 0.4 (b) h (c) 4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 4 - 4 + (0*a - a + 6*a)*(262 - 131 - 134) + (2*a - a - 3*a)*(-1 - 2 + 5) + (3*a - 4*a + 3*a)*(-3 - 3 + 4).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 556771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u*u**(-1\/4))\/(((u\/(u\/u**(-2\/5)))\/u)\/u)**(-19) assuming u is positive.\nAnswer: u**(-957\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17731*g - 57543.\nAnswer: 17731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 4*h + 56, 3*k - 5*h - 17 = 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/5)*(r**48*r)\/r)**6)**(-25\/2) assuming r is positive.\nAnswer: r**(-3585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 3510017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920490 is divided by 87295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -96551.\nAnswer: 1\/96551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130644 is divided by 43447?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 378\/14*(-66)\/(-1188)*1\/(2\/(-52)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -22429398?\nAnswer: 2\/11214699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 71. Let i = 168 + -129. Let r = i - x. What is the second biggest value in 5, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeemeememmmemmmm. What is prob of sequence eme?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 200971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 0.49.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 518 (base 12) to base 16\nAnswer: 2e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:21 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4563 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150673833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -8 - (-12 + 4) - 8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 3, g: 15}. What is prob of picking 1 g and 1 h?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 14*u + 43. What is a(-15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:47 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 34*p - 6964 = -y, 0 = 2*y - 3*p - 13929. What are the prime factors of y?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229237\/10540 - 2\/2635. Let t = 17119\/353 + 3\/706. Calculate the common denominator of t and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from {f: 6, n: 4, h: 2, q: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 71 (c) -2\/11 (d) 2 (e) -2\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-1))**(-2\/159))**(-1\/9))**(-44))**(3\/26) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489934?\nAnswer: 2, 19, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = 3. Suppose n*z = 9 - 1. Solve -r - z = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 2*y**2 - 7*y + 4. Let g be z(-4). Suppose g = -5*l + 791 + 49. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + sqrt(1539)*-3 + sqrt(1539) + sqrt(1539))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 8*s - 17. Suppose s*o = -12, -u = -0*u + 3*o + 13. Let x(l) = l**3 - 2*l. Let g be x(2). Put u, g, 3 in decreasing order.\nAnswer: g, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 20 + 20. Suppose 5*p - a - 1 = -9, h*p = -3*a - 16. List the prime factors of 116\/1*(-2)\/p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -24*p**2 + p. Let m(b) = 65052*b. Calculate m(h(z)).\nAnswer: -1561248*z**2 + 65052*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -959 - -958.95. Which is the third smallest value? (a) r (b) 1\/29 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 13*t**2 + 3*t - 7. Let p(f) = 2*f**2. Determine z(p(n)).\nAnswer: 52*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 7 = 10*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 201791543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/10)\/(12\/1920). Let l = f + 88. What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18533761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139001464 is divided by 1745?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 98, 2, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 160618 or 160688?\nAnswer: 160688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 3. Let c be p(-3). Suppose 3*j + j - 8 = c. Let h be 16\/33 - j\/3. What is the second smallest value in -1, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 8*n**2 + 9*n + 12. Suppose -50 = -5*l - 5. Let f be w(l). Suppose q - 2 = 3*k + 4, -4*q + 16 = -4*k. Solve 0 = q*v + f + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s, 2*s - 88 = -4*o. Suppose 150 = 4*h + 5*u, h - o - 3 = 5*u. Calculate the highest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {j: 1, k: 2, g: 4, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 108937549 and 425.\nAnswer: 108937974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 87\/(-21) - (-1)\/7. Let s(f) = -f**3 - 3*f**2 + 2*f + 3. Let n be s(-2). Put 3, l, n, 1 in ascending order.\nAnswer: n, l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 478 + -224. Suppose -20*s = -18*s - y. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 - 18*b + 15. Let d(u) = 24*u**3 + 91*u - 76. Let l(o) = -11*a(o) - 2*d(o). What is the tens digit of l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 688587?\nAnswer: 2754348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 8*d**2 - 8*d + 8. Let y(r) = -r**2 + r - 1. Calculate 3*j(l) + 24*y(l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200333 + 0?\nAnswer: -200333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17710 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 - -0.08. Suppose -y + 6 = x, 14 - 5 = -y + 2*x. Sort -0.8, y, p in increasing order.\nAnswer: -0.8, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - r + 2*r + 28, f - 14 = -4*r. What is the remainder when 55 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 65892*f - 131800.\nAnswer: 4*(f - 2)*(f + 16475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 18 = -2*n, -n + 26*u = 4*n + 109 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2737, -10960, -24669, -43870, -68569, -98772, -134485, -175714?\nAnswer: -222465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2805, 2843, 2851, 2817, 2729, 2575?\nAnswer: 2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7027609t to milligrams.\nAnswer: 702760900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**6\/6 - 98*g**5\/5 + 92*g**3\/3 - 270. What is the third derivative of f(x) wrt x?\nAnswer: -60*x**2 - 2352*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3320\/(-1245) + (-879)\/(-333).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -440 + 2207\/5. Let w(s) be the first derivative of 16\/25*s**5 - 2\/5*s**4 - 4 - 4\/5*s - 4\/5*s**3 + u*s**2 - 1\/5*s**6. Determine t so that w(t) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-13)\/(-117)*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.99 + -19.19. What is the fourth smallest value in -69, a, 0.1, 1\/7, 1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4188095 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/40*2\/3. Which is the nearest to 0? (a) f (b) -2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*l - 35*l - 113 + 93*l to the form v*l + i and give i.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239424 - 239423.826807. Round u to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -60*c**3 - 2281*c**2 - 582*c - 20679. Give a(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**5\/7 + 60670*q**4\/7 + 1152078*q**3\/7 + 2122154*q**2\/7 + 1030744*q\/7 = 0?\nAnswer: -30316, -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 - 40*o**2 - 14*o - 10. Let d be w(-13). Solve -5 + 2 = -d*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 + -35. Calculate the smallest common multiple of 6 and l.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/5*15\/(-120)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + a - 7, -2*a - a + 16 = o. Let n be (-5)\/(o\/(-2)*2). Let l(z) be the third derivative of -z**5\/60 + 7*z**4\/24 - 4*z**2. Determine l(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + 1*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-1\/11))))\/y)\/y**(-1\/39)*(y**(-4))**(5\/18) assuming y is positive.\nAnswer: y**(-1514\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/4)\/(-1 + 3). List the prime factors of 49*(-3 - q - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19406.4 - 19406. Put 0.23, 3, -6\/19, t in increasing order.\nAnswer: -6\/19, 0.23, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + -0.54. Which is the smallest value? (a) 4 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527787222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:05 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*u - 9. Suppose -u*v + 7*v + 234 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s - 27. Let f(p) = -p**3 - 9*p**2 - p + 5. What is the tens digit of f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2138, -1, 1851 in increasing order.\nAnswer: -1, 1851, 2138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*h**2 + 11*h**2 + 21*h**2 + 21*h**2 - 89*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3)*-8*30\/1120?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5135 = 2*i + 3*d - 8927, -d = -6. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849204 (base 11) to base 10.\nAnswer: 1359197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 6440*w**2 + 140232*w + 81. Give i(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25199767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4603*n + 514*n + 166290 + 129232 = 99250 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -902282*i**3 + 129*i + 805?\nAnswer: -5413692*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/51, 2, -0.058, 2\/7, 1, -2.\nAnswer: -2, -0.058, -2\/51, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/12 - 37\/(-3). Suppose 0 = 3*b + b - r. Solve d + 2*g = -5, -b*d = 2*g - 7*g - 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -1\/9 (c) 4 (d) 52\/3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Let w = -5 + h. Let a = w - -3.995. Round a to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + (sqrt(931) - (1 + sqrt(931) + sqrt(931)) - sqrt(931) - sqrt(931)) + -1 + sqrt(931))*4*3)**2 + 2.\nAnswer: 12096*sqrt(19) + 537554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 115. Let d be 2*3*(-3)\/h. Factor -2\/3*r**2 + 0 + 0*r + 3*r**d - 7\/3*r**4.\nAnswer: -r**2*(r - 1)*(7*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/1)*18\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + p + 1)*(-2 - 3 + 3)*(p**3 - 3*p**2 + 3*p**2) + (8*p + 66*p + 9*p)*(-p + p - 3*p**2)*(-3*p + 0 + 0).\nAnswer: 745*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 + 114 + (1 - -47)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/165*24\/(-288)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 3 - 3)*(-c - 4*c - 5*c) + 2*c**3 - 6*c**3 - 7*c**3 + (4*c**2 - 4*c**2 + 2*c**2)*(-2 + 2 - c).\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p**3 + 0*p**3 + 1)*(2 + 1 + 2).\nAnswer: -5*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3\/2 + 1875*u**2 + 10895*u\/2 - 8254350 = 0.\nAnswer: -65, 68, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 336767231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.633 take away -0.070404359?\nAnswer: 0.703404359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*s - 7*s + 64 = 0, 0 = -v - 5*s - 53. Let x = v + 33. Sort -4, -5, x, 1 in decreasing order.\nAnswer: x, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2338, -5498, -8658, -11818, -14978?\n\"Answer: -3160*b + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 + 264*i - 25. Determine u(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/7 - 18*c**2\/7 + 1935*c\/7 - 1914\/7.\nAnswer: -3*(c - 22)*(c - 1)*(c + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 320134.2 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 247608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:05 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49046.937 + -47098.32. Let r = 1946 - k. What is r rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i + 73. Suppose 14*p - 18*p = -128. What is the tens digit of k(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b + 22. What is the remainder when b is divided by (-2 - -1)*(0 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.67 + -0.6. Let x = -179\/850 + 4787\/2550. What is the second biggest value in i, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(14*a**2 - 5*a + a - 11*a**2) + 258*a - 258*a + 134*a**2 to the form x + u*a**2 + l*a and give u.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2828236969 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + ((sqrt(11) + -4)*5)**2 + 3 + 3 + (sqrt(11) - (sqrt(1331) + 1)).\nAnswer: -210*sqrt(11) + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 825\/55*6*2\/(-200)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5357 + -1623. Does 106 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/((-595)\/10)*-7*1. Let r(j) = 12*j + 4. Let z(a) = 2*a - 1. Let w(n) = c*r(n) - 6*z(n). Let i(s) = 2*s**2. Give i(w(q)).\nAnswer: 2592*q**2 + 288*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(1\/3)\/b)**(-1\/4))**(-24))**(2\/9))**(2\/15) assuming b is positive.\nAnswer: b**(-16\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3 + 3 + 12\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*s - 5*n*v**2 - 2*n*v - 1010*n - s*v**2 + s - v with respect to v.\nAnswer: -10*n*v - 2*n - 2*s*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*x - 27*x - 190 - 1460 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 - n**2 - 6*n**3 + 129)*(0*n + 2*n - n).\nAnswer: -6*n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15.73*-3\nAnswer: 47.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ba (base 14) in base 13?\nAnswer: 33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 760*x**2 + 2345*x - 3100.\nAnswer: -5*(x - 155)*(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96713017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7818, -15092, -22366, -29640, -36914, -44188?\n\"Answer: -7274*o - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/27*-1*(-21)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -4*z**3 + z**2 - 5*z - 28. Let p(a) = a - 1. Let v(c) = -m(c) + 5*p(c). What is the second derivative of v(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8768, 9179, 9590, 10001?\n\"Answer: 411*n + 8357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 23*v**6\/6 + 1709*v**3\/6 + 2*v**2 + 571. What is the derivative of n(g) wrt g?\nAnswer: 1380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Suppose 2*g - 7 = -b*y, 2*g - 5*y - 20 = -g. Does 18 divide 43\/(g*1\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 5153 = 1037. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q + 16*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 237227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 2*z + 3*z - 3*z. Let h be c(3). Suppose h*m - 18 = -3*i, -2 = -3*m + i + 4*i. Calculate the lowest common multiple of 2 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11495)\/95 - -26)*-1\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-325 + 151 - 285 - 51)*(0*x - x + 0*x) - 4 + x + 4 + (-2*x + 3*x + x)*(1 - 2 + 3) - 3*x + 3*x + x in the form b*x + h and give b.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*s - 0*s + 22, -4*s - 13 = -3*k. Let i(z) = 2*z - 6. List the prime factors of i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245149 is divided by 24484.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2\/17 + 10400*k\/17 - 10398\/17 = 0.\nAnswer: 1, 5199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27631600 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6479 by -6479.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from qyqgyyyqqyq?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 d when three letters picked without replacement from {s: 4, d: 5, q: 2, y: 2, w: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**5\/20 + d**4\/2 - d**3\/2 + d**2\/2 - 2*d. Suppose 5*i - i + l + 256 = 0, -5*l = -i - 85. Let n = i + 70. Calculate s(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748507 is divided by 489.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3 = -2*v, v = 5*m - 3 + 2. Let y be ((-10)\/v)\/(-5)*0. Let w be ((-4 - -11) + -6)\/(14\/(-8)). What is the second smallest value in 0.1, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*-2)*4 - (sqrt(114) + -2*(sqrt(114) + sqrt(114) + 2*sqrt(114))))\/(1*(sqrt(600) + sqrt(600)*-3)).\nAnswer: -19*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -48*n - 983. Give z(-21).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = -5*j - 81. Let s = 126 + j. Suppose 0 = -l - 4, -4*l - s = -3*y - 3*l. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 18*h - 5. Give a(-4).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 + -453.8?\nAnswer: -448.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(300)*1 + -4)**2.\nAnswer: -80*sqrt(3) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 36 (c) -0.5 (d) -1538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340335512 - -311?\nAnswer: 340340223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 85883 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10122 + 10122 + 11*y**2 - 271*y**3.\nAnswer: -271*y**3 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 870 = -4*i + b, -i + b + 215 = 0. Let p = 1542\/7 - i. What is the smallest value in p, 2\/15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 + 46*d**2 + 84*d - 69. Give c(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -212*o**4\/3 - 1363*o**3\/6 + o**2 - 77. Differentiate s(y) wrt y.\nAnswer: -1696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -260, -272, -204, -56, 172?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -532, -2114, -4750, -8440, -13184?\n\"Answer: -527*v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-984))\/(2496\/(-25584)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 349, 1787, 4101, 7285, 11333, 16239, 21997, 28601?\n\"Answer: -t**3 + 444*t**2 + 113*t - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/49*-2*3\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/360 and ((-31)\/62)\/((-20)\/(-92)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134873590?\nAnswer: 2, 3, 5, 31, 683, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(540)*5)\/(sqrt(12) + sqrt(48)*5 + (sqrt(12) - ((4*sqrt(72))\/sqrt(6) - sqrt(12)))).\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2448) + -3 + 2 + sqrt(2448) + sqrt(2448) + -3*sqrt(2448) + 5 + sqrt(2448)))**2.\nAnswer: 3456*sqrt(17) + 88704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 18 - 8)*(3*b + 3*b - 4*b) + 3 - 1 + 0*b + b.\nAnswer: 35*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -588785?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605735 is divided by 376?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 + 2 - 5*g**3 + g**3)*(-20 + 8 + 44).\nAnswer: 64*g**3 + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 13*h**3 + 23*h**2 + 11*h.\nAnswer: h*(h + 1)**2*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 8*a + 5. Let z = -16 + 24. Let q be k(z). Suppose 0 = q*h - 4*h - 2. Sort h, -3, 3 in descending order.\nAnswer: 3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1304)\/72 - 155\/(-1395)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/((-13365)\/(-220) - 61).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -970*z - 123*z**2 + 58*z**2 + 61*z**2 - 349*z.\nAnswer: -4*z**2 - 1319*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 5*o**3\/3 + 21. Let b(u) = 4*u**2. Let m(z) = 6*b(z) - 5*d(z). Let v(q) = 6*q. What is v(m(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4 (c) -1 (d) -77 (e) -9 (f) 1\/285 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*k**3 + k**2 - 1612*k?\nAnswer: -204*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27233 (base 11) to base 3.\nAnswer: -1222022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/(-78) + (-1 - 0). Which is the biggest value? (a) 0.4 (b) z (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20 - -19)*(-3*189 + -3). Calculate the greatest common divisor of 780 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67.57 + -67.67. Let y = -1\/71 + 215\/142. Sort 3, l, y, 9.\nAnswer: l, y, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-850)\/(-50) + -17)\/(-1 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 84156, 6\/3011?\nAnswer: 84156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -1\/5, -3, -0.3.\nAnswer: -7, -3, -0.3, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*(-2)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9869\/120 - -329\/4. Let i(k) be the second derivative of -1\/72*k**4 + 1\/180*k**6 + 0 + 1\/36*k**3 + 0*k**2 - 2*k - d*k**5. Factor i(t).\nAnswer: t*(t - 1)**2*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4646 is divided by 993?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*u = 25, -15 + 2 = -m + 2*u. Let s = m - 0. Find the second derivative of -2*b**5 + b - s*b + 0*b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 9 = 3*x + 3*s, 2*x + s - 8 = 0. Let y = 0 - 1. Let n = y + 1. Solve -x*r + n*r = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1396656 divided by 477\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3744.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*i + 9070 - 25683, 0 = -2*t - 2*i + 33258. What are the prime factors of t?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 26 = 4*m, -o - m + 6 + 2 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (2 + sqrt(1216)) - sqrt(76)*5)**2 + 2.\nAnswer: 68*sqrt(19) + 5497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-1309))\/(7\/952*-8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1615, -1617, -1619, -1621?\n\"Answer: -2*s - 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/8)\/((-3)\/12). Let c = 3 + -3.2. Let m = -0.3 + c. What is the second biggest value in 3, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 561*r = -557*r + 16, -p - 15 = -3*p + r 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, -0.1, -2\/7, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/117)\/2)\/((-47)\/(-141))*26\/13?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(175)*-1.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3*s**2 - 24 + 39.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 198000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 14\/11419?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3296808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, 0.1, 1, -19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22826 (base 9) to base 14.\nAnswer: -57b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54441 and -0.09?\nAnswer: 4899.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31822747*c**4 + 37*c**2 + 208116*c?\nAnswer: 763745928*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Suppose 4*l - j*l = 3*r + 10, -2*r = 3*l + 16. Let i be (3 - 5)*-8 + r. What is the greatest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -399777 - -399606.889. Let o = -170 - w. What is o rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -123*g - 623. Determine f(0).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by -31.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1\/5, 17, 2\/29, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1776*p = 1746*p + 223530. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 876*a - 845. Let d(g) = -875*g + 840. Let k(f) = -5*d(f) - 6*x(f). Find the first derivative of k(r) wrt r.\nAnswer: -881","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = w + 488 + 668, 2*k = 5*w + 1172. Does 52 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 3*n**2 - 41*n - 3. List the prime factors of p(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d. Suppose -a + 69 = 4*y, 4*y - 6*a = -5*a + 67. Let x = y - 14. Suppose 5 = -2*o - x*o. Calculate z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 936 = -2*m, -4*q + 6*q - 366 = -2*m. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -7\/2, -794, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.866 - -6.63. What is z rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750*a - 783*a + 792 = 0. What is the fourth biggest value in -0.1, -2\/15, -5\/6, a?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 94\/134595?\nAnswer: 94\/134595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1798836 and 133\/25350.\nAnswer: 44970900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, -4, -1, 1, 12.\nAnswer: -5, -4, -1, 1, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 409460485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*d - 308*d + 13013 + 26587. Calculate the least common multiple of d and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -32.69\nAnswer: 163.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 278 = 5*h + 88, 0 = -h - 3. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -354 - -535. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/57 and -26\/171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 426, 696, 1012, 1380, 1806, 2296?\nAnswer: 2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/6 + 9*z**2\/2 + 2*z. Let q be u(-7). Let c(a) = 55 - 55 + a**q. Let k(y) = -35*y**2. Give k(c(v)).\nAnswer: -35*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/2 + b. Suppose -3*t = -2*l + 42 - 260, 12 = -3*l. Let u(c) = -73*c**2 + 136*c**2 - t*c**2. Determine g(u(w)).\nAnswer: 294*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + 30. Suppose -2*g + 23 = -q + 2*q, 0 = -2*q + 4*g + j. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 52, -2, 2, -24 in decreasing order.\nAnswer: 52, 2, -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76540955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 - g + 1. Let m = 5 - 4. Let u be a(m). Suppose 0 = -u*t + 7 + 53. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220 - -11200212211?\nAnswer: 11200210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/45 and ((-79)\/(-9))\/(-18 + 357\/7)?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 14*o + 2. Suppose -4*x - 2*s + 12 = -3*x, 0 = -4*s + 8. Calculate the remainder when b(6) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 9010.\nAnswer: 72080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5 - 13*s**4 - 56*s**3 - 80*s**2 = 0?\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151051*u - 35087*u + 204868*u + 17105*u + 13130*u.\nAnswer: 351067*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -35*o + 702. Let h be ((-18)\/(-12))\/(2\/264). What is the highest common factor of o and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141133 (base 10) to base 9\nAnswer: 234534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -2*s - m, -s + 59 + 13 = 4*m. Let x = s + -51. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 26*d - 111. Calculate t(17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 3:37 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfvp when four letters picked without replacement from {l: 1, p: 1, s: 3, f: 6, v: 1, k: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/(112*77\/161700)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.3846 grams to kilograms.\nAnswer: 0.2263846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 1 + 5. Let x be f\/(-18)*(-12)\/(-15). Let k(d) = d - 1. Let j be k(2). What is the second biggest value in -1\/2, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let k(y) = -2*y**2 + y + 6. Let v(q) = q. Let w(x) = -k(x) + v(x). Calculate u(w(m)).\nAnswer: 2*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9 + 3 = 0. Suppose 0 = 3*o + 5*b - c, -4*o - 5*b - 9 = -3*o. Suppose v = 4*v - o. Solve 2 = 4*k - v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + -164. What is the lowest common multiple of v and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/13 + (-1 - 327\/(-13)). Let a = -31 + d. Let f(c) = 2*c**2 + 3*c - 22. Is 13 a factor of f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25612*v - 1573 = 25601*v. Calculate the remainder when v is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.4, 1, 6999, 4.\nAnswer: -3\/2, 0.4, 1, 4, 6999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*g**4 - 411604*g**3\/7 - 1582331*g**2\/7 + 317914*g\/7 - 9960\/7 = 0. What is g?\nAnswer: -4, 3\/77, 2\/13, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 13 + 717*r - 19 - 5 as l + c*r and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5*2*-4)\/1. Suppose -32 = -5*s + b + 28, 4*b = -5*s + 60. Let g be s - -1 - (-5 - -2). What is the greatest common factor of y and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + 40. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u + 1445 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 + 6*d)*(-2323 + 1565 - 5948) as w + y*d and give y.\nAnswer: -40236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 32 = 13*x. Suppose 5*h + 13 = -2*v, 18 = -x*h + 4*v - 8*v. Let o = 3.1 + -0.1. What is the closest to 0.1 in h, -2\/11, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9277 + 0.0723. Let p = 2 - 2.5. What is the nearest to 0.3 in -0.4, v, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359925, 717240, 1074555, 1431870, 1789185, 2146500?\nAnswer: 2503815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -878*u - 67. Let r be m(-11). Suppose r = 15*f + 8*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 1134?\nAnswer: -11\/1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46\/5 of a century?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 3*j**5 - 2*j**5 + (-11*j**4 - 15*j + 15*j)*(-2*j + 10 - 10) - 2*j**5 - j**4 + j**4 + (-87*j**2 - 29*j**3 + 87*j**2)*(5*j**2 - 2*j**2 - 4*j**2).\nAnswer: 48*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 695080500 rounded to the nearest one hundred thousand?\nAnswer: 695100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 25 = -5. Suppose 8 = -14*l + 18*l. Suppose -l*v + 4 - 6 = s, s + v = -2. Sort -3, s, p in decreasing order.\nAnswer: p, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 5*h + 2*h + 56 = 0, -29*g - 40 = -24*g + h for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = -59*y + y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3003 - 1423. Suppose -3*o = -3*k + 2391, 2*k + 7*o = 2*o + f. Does 36 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -223*m - 438. Calculate l(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 24) + (-4 - 2) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - 4*r**2 - 2*r. Suppose 4*c + 4*k + 1792 = 0, 5*k - 1 - 24 = 0. Let v = c + 451. Determine n(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-6)*372\/(-682)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 2*z**3 + 23 + 5\/2*z**2 + 1\/4*z**4 + 0*z. What is l(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 25. Let k be r(7). Suppose -2*w + 5*h - 15 = 0, 5 = -3*w - 0*h + k*h. Suppose -4*l = u - 26, w*u + l - 96 = -2*l. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.44316 take away 0.214814359?\nAnswer: -4.657974359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*r + 74, r - 2*z - z - 6 = 0. Suppose -r*b + 13*b = -25. Solve -l + b = 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1393.6, -0.3, -1, -154?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 1155. Let y(d) = d**2. Calculate a(y(w)).\nAnswer: 3*w**4 + 1155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 452.621 - 455. Let t = -0.081 + o. What is t rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-6))\/(3\/9). Let v = -6 - j. Suppose 2*a - 298 = 3*d, 3*a + 0*d = -v*d + 460. Calculate the greatest common factor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*n**3\/9 + 254929906*n**2\/9 + 92701760*n\/9 + 2809144\/3 = 0.\nAnswer: -1053429, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4 + 256*d**3\/5 - 332*d**2\/5 + 56*d\/5 = 0.\nAnswer: -14, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 29789*r**2 + r + 9. Suppose -5*c + v = 4*v - 26, 5*c = -5*v + 30. Let u be y(c). Let j = -3223363 - u. What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -1\/210*t**5 - 1\/42*t**4 + 0 - 17\/2*t**2 + 14*t + 1\/7*t**3. Let z(j) be the first derivative of h(j). Factor z(d).\nAnswer: -2*(d - 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 14*u**2 - 1. Let l be y(2). Suppose -5*c = n + 11, -l = 5*n - 4*c + 2*c. Let a = -9 - n. Calculate the remainder when 4 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -766\nAnswer: -153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = 2861*d - 2830*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/18)\/(180\/(-405)))\/((-5)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 53103.\nAnswer: -10620.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3438874.\nAnswer: 2, 59, 151, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/40 and 88\/435.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Solve o*i = -0 - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 - p**3 - p**2 - 2. Let r be (-5)\/(-7) + (-4)\/(-14). Let n be (r - -1)*3\/(-2). What is f(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50716.\nAnswer: 2, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 - -352. Let s be -3 + 4 + (-1 - -55). Let k = s + h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -10. Let k(n) = 3*n**3 + 4*n**2 + 2*n - 4. Let u be k(d). Let o = u + -37. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -55, -1.6, 1760, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:06 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399897506 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. Let g(c) = -3*c - 16. Let m be g(-7). Let p = m + n. Solve -p*f + 6 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800647 is divided by 1404.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 15 + (3 + -6 + 12 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 87 + 13)\/(1\/8). Let x = s + 280. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 358\/3 in 1\/3, 21, 29, -2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283 - -365. Let x = 150 - w. What is the highest common divisor of x and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0 + 9 + -7. Factor -4*s**4 + 3*s**2 + v*s**3 - 9*s**5 - 2*s**4 - 3*s**2.\nAnswer: -3*s**3*(s + 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + d + 0*d**2 + 2*d**2 - 6*d**2 + d**2 - 61*d**4 as m + h*d**2 + c*d + s*d**4 + i*d**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 2*o**2 - 4*o + 2. Let i(s) = 2*s - 9. Let a be i(4). Let p(n) = 3*n**2 - n - 3*n**2 - n**2 + 8*n**2 + 1 - 8*n**2. Calculate a*q(h) + 2*p(h).\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 11*z**2 - 10*z + 3. Let c be d(-10). Differentiate -2*l**3 - 4*l**3 + 0*l**3 + 7*l**c - 3 with respect to l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22612129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5134223 - -1?\nAnswer: -5134222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -4 + (5 - 5 - -3) + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8619 + -8640. Let x be (2 - 1)*-1 + -20. Is x <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/4315921 or -1?\nAnswer: -19\/4315921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1071988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 249)\/23 - -31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56 + -20)\/18)\/(369\/(-351) - -1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nan when three letters picked without replacement from aaaananaaaaanaaanaaa?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.71751 and -4.\nAnswer: -26.87004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-8)\/(-4))*(-6 + 4). Let y be -1*(3\/6)\/(u\/56). Suppose -2*v - 3 + 7 = 0. Sort y, v, 3 in ascending order.\nAnswer: y, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12884 in -1\/7, 0.01, 0.088?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 - 0.03. Let f = 1.15 - m. Let t = -0.12 - -2.12. Which is the nearest to -1? (a) f (b) t (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (10 + -3)) + (-6 - -12). Solve -x*d + a = 4, -4*d = a + a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 9*i = -23100. Let p = i + -799. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**3 - 392*q**2 - 4*q + 145. Calculate k(-56).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(15\/50).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 1\/7 (c) -5 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 119\/147*-3 + 3. What is the nearest to -1 in t, -19, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8492257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (278\/(-16) - -1) + 496 + -480.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from qwqqqqxvxxx?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g**5 + 3356*g**4 - 43170*g**3 + 44120*g**2 + 68456*g - 22176 = 0. Calculate g.\nAnswer: -252, -1, 2\/7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - 2*c)*(-5 + 1 + 3)*(c + 0*c + 0*c + 337 - 337 - 149*c + (-2 + 3 - 3)*(c + c - c)).\nAnswer: 150*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -9*g + 63. Suppose -g*p + 388 + 56 = 0. Calculate the remainder when p is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-15))\/(6\/15). Let u be (-20)\/h*8\/10. Calculate the lowest common multiple of 2 and u\/10 - 33\/(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Suppose b = -3*t - 2*t - 20. Let z be 0\/(t\/((-2)\/(-1))). Solve s - 4 = -z*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 4*y - 5. Let f be w(-6). Suppose x = -f + 2. Let n be (-2684997)\/(-15) + (-1)\/x. Round n to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**3 - 18*a**3 - 19*a**3 + 63*a**3 + 55 - 15*a**3.\nAnswer: a**3 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**2 + 2*q + 2\/3*q**3 - 2. Let y(k) = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -16, 1, 21, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792 and 3751208.\nAnswer: 371369592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 47d69?\nAnswer: -47d6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2 + 2 - 0). Suppose -11 - 1 = -4*y + 4*a, s = -4*a - 12. Suppose -g = -y*g - 53. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 36*s**3 - 15*s**2 + 2867*s - 2863. Calculate q(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**3\/3 + 11*a**2\/2 + 198. Let f(j) = -9*j**3 + j**2 + j + 1. Let m be f(-1). Is 3 a factor of y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k = 220*k - 47232. Solve -18*i + 38 = k for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 45 = 2*s. Let k(b) = -243*b**2 + 2237*b - 10. Let r be k(9). What is the greatest common factor of s and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 371.99+40.329\nAnswer: 412.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2, -4\/7, 4, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -10*u. Let f(a) = -a**2. Calculate f(c(o)).\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6249 plus -1?\nAnswer: -1.6249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - -d6089?\nAnswer: d6076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139706972 by 34926743.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 125 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-2\/11)*k)\/k))**38 assuming k is positive.\nAnswer: k**(494\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of -9 - 11 - 54368\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1131, -3, 152.\nAnswer: -3, -1\/1131, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/42*12\/14*(-126)\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(-2 + 126\/60). Suppose z*t = -249 + 1029. Calculate the least common multiple of t and 18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvqiiks. What is prob of sequence sv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5649691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(12\/(-4)))\/((-6)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Let i = w - 5. What is the closest to -2\/5 in -0.4, i, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 716419118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/80, -0.4, 1, -2\/9, 2\/109 in decreasing order.\nAnswer: 1, 2\/109, -1\/80, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 362123219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 141\/(-15))*20\/(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3901398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -555 or -558?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1200)\/600*((-25)\/(-165))\/(-5)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206130?\nAnswer: 2, 3, 5, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*c**3*s - 2499*c**3 - 4*s wrt s.\nAnswer: -56*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 77111, -0.01, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -36*p**3 + 150*p**2 - 37*p - 21. Let w(h) = 7*h**3 - 31*h**2 + 7*h + 4. Give -4*d(n) - 21*w(n).\nAnswer: -3*n**3 + 51*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1959 divided by 5\nAnswer: 1959\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2982431*-0.8.\nAnswer: -2385944.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011 - -101?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1489989*r**6 - r**5 - 1549857*r**2?\nAnswer: 178798680*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhfhhhhf. Give prob of sequence fhfh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:06 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 604 + -587. Calculate the remainder when 187 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -s - 25, 14607011*s + 61 = 14607006*s + 9*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, o: 7}. What is prob of sequence eeo?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - d + 521, -2*a = 3*a + 3*d - 2603. Calculate the greatest common factor of a and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**2 + 0 - 2*n**5 + 6*n**5 + 12*n**3 - 12*n**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -669 - -3002. What are the prime factors of c?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1140\/399)\/((-7)\/(-7)))\/((-2)\/21)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1341?\nAnswer: -1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -a + 305, -o - 4*a + 66 + 43 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*w**5 - 2*w**4*y**3 - 28*w**2*y**3 - w**2*y**2 wrt w.\nAnswer: -4800*w**2 - 48*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 12 + 17 + 0*p + p. What is the remainder when b(-12) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let o(c) = 58*c. What is o(z(i))?\nAnswer: -58*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -15807?\nAnswer: -15811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 194843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18904241.\nAnswer: 1429, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 569 - 392. Let l = z - 174. Solve l*o + 0*o = -4*r + 5, 2*o - 5 = -r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m**(6\/5) assuming m is positive.\nAnswer: m**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 4)*(0 + 2 - 1)*(7*i + 5*i + 2*i) as s + l*i and give l.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 3:35 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.031, -0.4, 2\/5, 2\/7 in increasing order.\nAnswer: -0.4, 0.031, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2375403 is divided by 791770.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 11. Let o be d(0). Suppose 4*v + 3*q = 17, v + 2*q = -0 + 8. Let i be 3\/(-1 - (v - 6)). What is the greatest common factor of i and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzzaaxaxaxzazaaz. Give prob of sequence xax.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 69*j + 1000. Determine r(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -8*t**3\/3 + 6*t. Let p(i) = -i. Calculate p(q(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5) + (sqrt(25) - 3*sqrt(25))\/sqrt(5) + sqrt(5) + sqrt(20)\/(sqrt(16)*-5).\nAnswer: -2 - sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 5. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -547?\nAnswer: -1641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*b - 872 = 408*b - 77. What is the remainder when 264 is divided by b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2526 or 952498\/377?\nAnswer: 2526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unr when three letters picked without replacement from nnnunrzv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let r be 2\/(-4)*(-2 - 0). Suppose -3*s = -5*l + 174, r = s + 4. What is the greatest common divisor of d and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74000.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 463.3, -0.3, 1, -0.02, 8, 4 in decreasing order.\nAnswer: 463.3, 8, 4, 1, -0.02, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfp when three letters picked without replacement from {c: 7, f: 1, b: 5, p: 1}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 3. Let f be y(-2). Suppose -194 = -f*k - 4*p, 6*p + 288 = 4*k + 4*p. What is the highest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8505 and 94.\nAnswer: 799470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 21 + 146. Let m = b + -17. Suppose v = m*v - 560. Does 40 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 11589\nAnswer: 9\/3863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37440)\/22464*153\/(-20)*8\/(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from effepeepcppfp?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/1144)\/((-36)\/198)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 96. Suppose 0 = -2*v - d*v - n + 60, -4 = 2*n. Let h = -4 + v. Calculate the remainder when h is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 + 24\/(-30). What is the units digit of (-3 - -2)\/j + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -13834*l**5\/5 - 2440*l**3 + l + 9305. Find the third derivative of o(z) wrt z.\nAnswer: -332016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/71752 and 7\/4552.\nAnswer: 40826888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 323869*m**2 + 3574*m + 10.\nAnswer: 647738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*o - 5, -4*i + o - 6 = -2. Is 23 + (i - 2) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24857 is divided by 7335?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 11*i + 6. Let n be y(12). Let g = 21 - n. Suppose -9 = -5*f + 3*t, -g*f - 1 = -6*f + 4*t. Let x(k) = k**2 - 2*k + 1. What is x(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8543979221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27 and -299.\nAnswer: 80.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92445, 92684, 92927, 93174, 93425, 93680?\nAnswer: 93939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47428450 by -1654.\nAnswer: 28675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8718815 minutes?\nAnswer: 52312.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 32 - 36. Put -2, z, -1268 in ascending order.\nAnswer: -1268, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470001 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -235800 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7)\/r)\/r**(-6)*(r\/(r*r*r\/(r**7\/r)))\/(r*r**8))**12 assuming r is positive.\nAnswer: r**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 0)*(-61)\/(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 f when four letters picked without replacement from {c: 5, f: 12, m: 1}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 5*s - 1. Let z be y(9). Let n = 377 - z. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32*-0.1361\nAnswer: -4.3552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(72)*2 + -4)*2.\nAnswer: -8 + 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.734 + 30.734. Which is the nearest to 1? (a) -31 (b) x (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-52)\/(0 + 2))\/(-1). Let q = d + -15. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11794412.\nAnswer: 2, 7, 67, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1477 divided by -507.\nAnswer: 1477\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 5*v - 69 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1)*(-2)\/(-4). Let o = g - -3. Let y(a) = 7*a - 3*a + 5 - 3*a**3 + 2*a**3 + o*a**2. Determine y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.47 + 0.87. What is the third smallest value in -5, a, -6.8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38290509 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*l*u**2 + 3*l + 95734*u**2 + 16765 wrt u.\nAnswer: -18*l*u + 191468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/7, 2, 2\/11, 0.4 in descending order.\nAnswer: 2, 0.4, 2\/7, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18830897 a multiple of 2231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25375 divided by 5?\nAnswer: -5075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*d**2\/11 - 9040*d\/11 - 32000\/11 = 0.\nAnswer: -200\/59, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 7 + 2240*p**2 + 16.\nAnswer: 2240*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1)**2 + 5 - (-1 + sqrt(1900) - sqrt(1900))**2.\nAnswer: -2*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2557044557\/1566 + 1632851. Find the common denominator of -53\/22 and g.\nAnswer: 17226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*w = 19 - 4, 0 = -2*p - 2*w + 10. Solve p = -14*q + 18*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5432, -21731, -48898, -86933, -135836?\n\"Answer: -5434*o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-9) + -4 - (-5)\/63. Let c = -79\/15 - -17\/3. What is the closest to -1 in c, w, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*(r**(2\/7)*r)\/r*r)))**(-30)*r\/((r**18*r)\/r)*(r\/r**8)\/r)**40 assuming r is positive.\nAnswer: r**(-34600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 896\/480*9\/21\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-20)\/(h\/h**1)**46)**25 assuming h is positive.\nAnswer: h**500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from kkjjjjkkja.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = u, -3*y - y = -2*u - 12. Let m be (u - -8) + (-13)\/8. What is the smallest value in 1\/8, m, 1\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**3 - 334435*m**2 - 5591502280*m + 27965872900 = 0.\nAnswer: -33446, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 - 21*m**2 + 10*m. Let p(t) = 13*t**3 - 42*t**2 + 20*t + 1. Let f(r) = -11*l(r) + 6*p(r). Let n be f(12). Round n to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqogw. What is prob of picking 1 o and 1 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 0, 3.\nAnswer: -42, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - -11c?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*n*p**2*q - 3*n*q**2 + 9*n + 47*p**4 + 3*p*q**2 + 5*q**2 + q + 2 wrt p?\nAnswer: -66*n*p*q + 188*p**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 12. Let z be a(5). Let l(p) = p**3 - 12*p**2 - 14*p + 17. Let u be l(z). Let s(c) = -c - 1. Calculate s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -335?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/135 and 41\/99258?\nAnswer: 4466610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136\/3 + 46. Factor k*w**2 + 2\/3*w**3 - 2\/3*w**4 + 0 - 2\/3*w.\nAnswer: -2*w*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821596649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -63\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 7:20 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-6\/5)*r**(-3))**(-10))**(-3\/28))**(30\/11) assuming r is positive.\nAnswer: r**(-135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - 26. Let u = 59 + g. Solve 3*x = -3*h + 15, -3*h = -2*x - 2 - u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, 1 v, and 1 a when four letters picked without replacement from {w: 3, v: 2, f: 1, d: 3, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 772 (base 10) to base 8\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 8308.\nAnswer: -1\/8308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:38 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24522416 (base 8) to base 9\nAnswer: -11164566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3 + 189*d**2 + 1768*d + 2772 = 0. What is d?\nAnswer: -7, -2, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2 - 2)*(-6*v + 121 - 121) + 0*v**2 + v**2 + 0*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 784? (a) -1 (b) 126 (c) 2\/21 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/35 - (-309)\/(-15). Let g = -21 - o. Solve 3*f + 1 - 3 = 4*p, -p - 2*f - 6 = g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s + 0*s)*(0*s + 0*s - 2*s) + (1 - 1 + s)*(-2*s - 1 + 1) + (4*s - 4*s - 2*s)*(2*s - 2*s - s) + 2*s**2 + 0*s**2 - s**2 - 7*s**2 + 19 - 19.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 2*g**2 + 3*g**2 - 2*g**2 - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 - 2*7\/(-28). Suppose -27*c + 19*c + 612472 = l. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -47*l**4\/8 - 43*l**3\/6 + l**2 - 29. Is g(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1130 - -1131. Solve 5*n + s - 16 = 4*g, -3*g = n + 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535442837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 24. Suppose -5*b - f - f = -6, g = -4*b + 4*f. Let s(m) = m**2 - m - 5. Let y be s(0). Sort 5, b, y in decreasing order.\nAnswer: 5, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u - 12*u + 5*u - 4*u in the form j + m*u and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*k + 12 = 0, 8 = 3*r - 6*r - 5*k. Suppose -r*a + 96 = 3*q, -5*q + 120 = 5*a - 3*q. Find the first derivative of a - 48 + 28*g + 15 - 3*g wrt g.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/3))**(-3\/10)*(u*u*u*u**(2\/3))**48 assuming u is positive.\nAnswer: u**(351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/621 (b) -1.2 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.981 + -0.019. What is the smallest value in -0.6, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -14 (c) 12 (d) -6 (e) 246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 93?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 19. What is b(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/20)\/11 + (-22)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1185 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(2\/(-8))\/(12\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/156 and -73\/18798?\nAnswer: 37596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12886 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-9 + 3 + p - 7).\nAnswer: -2*p + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*r - 5633 = 25478 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/5 or 0.4228063?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/95 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0.2, -5, 0.3, -2\/345?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -13 + 2*u + u + 28. Let d be l(-7). Let b = 7 + d. Round b to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36758633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (250 - 249) + (1 - (4 + 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 4, k: 14}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + -5 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/13, -0.3, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9453131 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 1. Let o be v(-3). Suppose -2*q + o = 8. Let z be ((-5)\/(-2))\/(19\/38). Put q, z, -2, -5 in decreasing order.\nAnswer: z, -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 8*k**2 - k + 7. Calculate s(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55401 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*k + 133938 = -3149*k for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/306 and -151\/359388?\nAnswer: 6109596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47, -57, -79, -119, -183, -277, -407?\n\"Answer: -y**3 - 3*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/5 + 6*a\/5 - 4\/5 = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 123 - (-2 - -3)*2. Let n = y + -59. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*r + 6*r + 20, 5*x - 2*r = 10. Let z = -2\/165 - -3577\/165. Let q = -21 + z. Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1113240021 (base 5) to base 7\nAnswer: 30026031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b - 2808 = 60*b - 78 for b.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 2*v - 71598, -2*t - 143196 = -5*v. Let n be 2\/13 - t\/39. Suppose -902 = -2*z + 3*b, -b - b = 4*z - n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 1. Let q be f(-2). Let h = 4 + -3. Sort 3, h, q in descending order.\nAnswer: 3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 404, 1378, 3272, 6392, 11044, 17534, 26168?\n\"Answer: 51*s**3 + s**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z - 3*z**2 + 54 - 54.\nAnswer: -3*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384 + 384 - 208129*i.\nAnswer: -208129*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by ((-16)\/(-3))\/(4\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1383396439 to the nearest integer?\nAnswer: 37194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 896 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i**(-3\/11)*i)\/(i**(2\/5)*i)**41*i**(2\/13)*i*i**(-7)*(i*i**(1\/4))**(-3\/16) assuming i is positive.\nAnswer: i**(-25752781\/411840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 5:19 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 1. Let l(b) = -b - 11. Let k be l(-10). Let u be a(k). Solve u = 2*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -109, -102, -75, -16, 87, 246, 473?\n\"Answer: 2*b**3 - 2*b**2 - b - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255791*b - 253270*b = -186554 for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*d = 4098*d + 303709 + 222870 for d.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2668*z**6 + 246*z**4 - 3*z**2 + 166*z + 1898.\nAnswer: -320160*z**3 + 5904*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114584292791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-1))\/((-12)\/48). Suppose m - 4*z - 19 = 0, -2*z = -7*m + 3*m + 6. Sort 1, m, g in decreasing order.\nAnswer: g, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104894.3 rounded to the nearest one thousand?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**2 + 59*t + 1. What is d(-14)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83.7 - 90. Let n = -6 - k. Let b = 4.2 - 4. What is the biggest value in 0.8, n, b?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -3647e?\nAnswer: 36477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 264783698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34693.8 - 34694. Let r be (-8)\/6*36\/(-448). Put -1, r, j in increasing order.\nAnswer: -1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (-1*(sqrt(228) + 3*sqrt(228))\/sqrt(12) - ((sqrt(95) - -3*sqrt(95))*4)\/sqrt(5))).\nAnswer: 4 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = p - 32*q + 37*q, -4*p = -3*q - 202. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*h + 6*h**2 + 8514*h**4 - 8515*h**4 - 18*h**2 as p*h**3 + l*h**4 + q + o*h**2 + b*h and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:38 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 87, -7, -4, 9, 2, 0 in decreasing order.\nAnswer: 87, 9, 2, 0, -4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 3*r**2 + 2. Determine c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) -0.1 (c) 5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -3*p**2\/2 + 15*p - 18. Let y be s(-5). Calculate the greatest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + j + 2*j**2 - j + 3 as y + r*j + u*j**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8*o + 3733 = -3*o, 4*m = -o + 4983. Is 33 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 + o + 9. Let s(g) = 7*g**2 - 2*g - 17. What is -5*b(p) - 2*s(p)?\nAnswer: p**2 - p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/50*(-120)\/6 + 112059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39691 - 39448.71. Let v = a + -284. Let b = v - -43. What is b rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6633 - 57*r + 9577 - 3*r**2 + 9202.\nAnswer: -3*r**2 - 57*r + 25412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*u - 6 = 0, d - 3*u - 24 = -15. Let g(a) = 2*a**2 + a + 701. What are the prime factors of g(d)?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 14. Let h(c) = -c - 5. Suppose 0 = 4*r - 2*v + 54, 37 + 8 = -5*r - 2*v. Let o(d) = r*h(d) + 4*i(d). What is o(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -d + 4*u, -4*d + 5*u = -48 - 17. Suppose -s + w - 2 = -d, -22 = -2*s + 4*w. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppvv when four letters picked without replacement from vvvvvvpvvp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 39 = 3*v, 4*a + 5*v = 5*a - 9. Let b = -5 + 9. Suppose -2*s - 9 = -2*h + 23, -16 = -h - b*s. What is the highest common divisor of a and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9253454760 + -4300.\nAnswer: 9253450460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 2. Let p(t) = -9*t + 5*t**2 - 22 - 12 - 4*t**2 - 18. Let x be p(-4). Determine y(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1123 + 425*j**2 - 901*j**2 - 67*j + 478*j**2 wrt j?\nAnswer: 4*j - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.101899256 - -0.1019. Round m to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*t - 16 = -0*t, 0 = 3*t + 3. Let l = h - -26. Suppose 0 = 4*r - 5*i - 51, -3*i = -2*r - r + l. Calculate the remainder when 25 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 106\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2684 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010101 + -1110000?\nAnswer: 110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = -6. Solve 5*t + 2*h = 4*h - 6, -12 = 3*t + k*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*r = r + 114, 0 = -5*r + 20. What is the highest common factor of 350 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjjvjwjjwwwj. Give prob of picking 4 w.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/25)\/((-121)\/(-2420)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(44) - (sqrt(44) - sqrt(88)\/sqrt(2)*-1)))\/((sqrt(4) + sqrt(16)*-3)*-6).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/596? (a) 112 (b) 0.58 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -224*o. Let v(z) = 93*z + 2444. Calculate v(p(b)).\nAnswer: -20832*b + 2444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.23 - 10.891929.\nAnswer: -7.661929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 44. What is the second biggest value in -3, f, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4627.\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/9))**(-2\/21)*h**(-7)\/((h*h*h*h**(6\/7))\/h*h*h) assuming h is positive.\nAnswer: h**(-2263\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 18 - z + 2*z - 28*z**2 + 27*z**2 in the form p*z + l + r*z**3 + a*z**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5047*47.9\nAnswer: 241751.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - l. Let c be f(2). Suppose -4*h + 12 = c*u, 5*h = -2*u + 19 - 5. Is 38 - (-1*h + 4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1396 - -1399. What is the closest to 0.3 in -1, k, -6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*l - 3*p - 1677 = 119*l, -3*l = 2*p - 5042. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6*-1*10. Suppose -t*q = -b - 17, 2*q - 3*b - 5 = -2*b. Factor q + 6*d + d**2 + d - 3*d.\nAnswer: (d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 less than or equal to 227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6809850 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 57, 190, 449, 876?\n\"Answer: 7*n**3 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 99, 180, 291, 438, 627?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 633487.628568 - 633768.4. Let n = i + 0.017432. Let j = n - -281. Round j to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1333 - 1307 - 1221 = 297*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.84 and -0.1.\nAnswer: 0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 4771*z - 8692826\/5.\nAnswer: (z - 24214)*(z + 359)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 186644, 746448, 1679426, 2985584, 4664928, 6717464, 9143198, 11942136?\n\"Answer: k**3 + 186581*k**2 + 54*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*x + 130. Suppose b + 176 + x = 0. Find the common denominator of 25\/6 and 2 - -1*b\/44.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100653, -100497, -100341, -100185?\nAnswer: -100029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1730, 1737, 1744?\nAnswer: 1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpp when three letters picked without replacement from {c: 1, m: 1, l: 4, p: 2, h: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 - 35555301\/(-15). Suppose 3*l - o = 6029647. Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**3 - 4*g**2 + g + 1. Let t be c(-3). Suppose -2*w + 168 = -2*q, 4*q - 3*q = -3*w - 92. Let y = t + q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 6. Let w be (-51)\/(-9) + (-2)\/d. Let m = w - 3. Calculate the highest common divisor of m and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*k + 1300 = -52*k. Calculate the greatest common divisor of k and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 5. Let p(d) = -4*d**2. Let u(c) = -9*c**2 + c + 1. Let l(y) = -7*p(y) + 3*u(y). Let t be l(w). Solve 0 = -m + t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j - 3*j**3 + 7*j)*(0*j - 2*j - j + (-2*j + 4*j - 3*j)*(-2 + 0 + 4)) in the form a + u*j**2 + i*j + y*j**4 + l*j**3 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328 - -398. Suppose -5*x + h = -289. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95773760 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose -v - 14 = -3*v. Let f = v + -6. Is f smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*w - g, 3*w + 0*g + 5*g - 101 = 0. Suppose 395 = 3*j + 2*j. Let f = j - w. Calculate the highest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 32*n - 43. What is x(25)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5167.\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**(-6)*x*x)**(1\/29) assuming x is positive.\nAnswer: x**(-1\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 149. Let f = -55.98 - i. Let t be -4 + 2 + (-12)\/(-5). Which is the second biggest value? (a) t (b) 0 (c) 4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -2\/3 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -9. What is the tens digit of (-6)\/(-14) - (-1000)\/f*-12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 156 - 52 = 0. Calculate the lowest common multiple of v and 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 13*x - 9. Give m(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -r - 4*r. Which is the closest to -0.3? (a) r (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98 + v**2 + 49*v + 1650*v**6 + 25 + 31 + 32 - 7652*v**6 wrt v.\nAnswer: -720240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*l**4 - 22*f + 94*l + 2 wrt l?\nAnswer: -4*f*l**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 142*z - 115*z + 343 - 83*z. List the prime factors of g(-18).\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -957*o - 1008*o + 58950 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**4*w - 15*o**3*w**2 + 8*o**2*w**2 - 2*o*w**2 - w**2 wrt o.\nAnswer: -24*o*w - 90*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2)\/1 + -25. Let n be s\/(-9) - 1\/(-3). Suppose -2*i = n*i - 95. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(35)\/sqrt(5) + -1)**2 - ((1 + sqrt(7) + -2)**2 + -4).\nAnswer: 10*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4695234203 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-5\/4))\/(x\/(x\/x**(1\/5))))\/(x**(-1\/4)\/x)**(9\/11)*((((x*x\/x**(4\/9))\/x)\/x)\/x*x**2)**(-8\/7) assuming x is positive.\nAnswer: x**(-431\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7760 - 77723\/10. Calculate the common denominator of 537\/180 + (-12)\/30 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 >= -134530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 2. Let v(y) = 16*y - 11. Let f(b) = v(b) + 5*w(b). Determine f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(539)*2)**2 + -3 - ((0 + sqrt(539))*1)**2)*5*1.\nAnswer: 32280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdddwwwddddrwwdwddr. Give prob of picking 1 r and 2 w.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19968 = 6*j + 20*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 6. Let r(q) = -5*q + 13. Let i(t) = -14*a(t) + 6*r(t). Let d be i(-5). Suppose -2*x = -15 + 5. Solve -x = d*l - 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 10*d**2 - 3*d - 7. Let p(n) = -3*n**3 - 254*n**2 - 170*n - 178. Let h be p(-84). Give x(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 2, b: 1, m: 3}. What is prob of sequence qml?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 5.\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37139 divided by -6?\nAnswer: 37139\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 148122*t + 1828343907.\nAnswer: 3*(t - 24687)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*s - 85818 = -74854 - 54513 for s.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 minus 0.1?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40203 - 23162. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 55, 82, 129, 202, 307?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j = 79*j - 48 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 13*h**4\/6 - 29*h. Let g(v) = v**2. Calculate f(g(z)).\nAnswer: 26*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -4) + 0 + -1. Suppose -b - m*b + 20 = 0. Suppose g = -0*g + 15. Solve 2*z - b*z + g = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3 (b) -2\/15 (c) 3 (d) 19 (e) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*i + 847*i - 40 = 427*i + 5*l, 0 = 2*i - 5*l + 16 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 76434 and 4\/77 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5119519 rounded to 2 dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:01 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -403\/9 + 2675\/72. What is the common denominator of v and (-67)\/(-5) + (-9 - -5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52822243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 32 - 142*w - 63 + 3*w**3 + 31 + 3*w**2 as y + j*w**2 + o*w**3 + c*w and give c.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1081*v + 2*v**2 + 2 + 0 + 2165*v - 1085*v + 1572*v**3 to g*v + d + u*v**3 + l*v**2 and give u.\nAnswer: 1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7307, 14557, 21807, 29057, 36307, 43557?\n\"Answer: 7250*c + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22986182251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11073046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216097?\nAnswer: 7, 30871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + 15 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0292364 rounded to 3 dps?\nAnswer: 2.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784431054761 take away 3?\nAnswer: 1784431054758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26219 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -49*m. Suppose 0 = 2*p - 3*k - 2*k + 38, 5*p - 3*k = -57. Let q(z) = z - 4. Let l(r) = -2*r + 9. Let n(o) = p*q(o) - 4*l(o). Give t(n(u)).\nAnswer: 49*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 - 4*d**3 + 2*d**3 - 2*d**4 + (-5*d**2 + 19*d**2 + 15*d**2)*(-3*d**2 + d**2 - 5*d**2).\nAnswer: -202*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2)**2*5 + 2.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 210797551 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/(-4)*36\/(-21). Let z = y - 12. Suppose r = 3*r - z. Solve 0 = -2*s - r*s + 25, -19 = -l - 3*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1\/5 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 1 + 6*i - 2)*((-3 + 1 + 3)*(2 - 2 - 2) - 4 + 3 - 1).\nAnswer: 4*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2194 + -1862. Let q(b) = -b**2 - b. Let t be q(-1). Suppose -4*o = 3*d - p - 346, 4*o = t. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**5 - 2*o**4 + 383*o**2 + 33546*o wrt o.\nAnswer: -40*o**3 - 24*o**2 + 766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 7*q = -2*q + 15, -4*q = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((3\/12)\/(2\/(-36)))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - d - 83, d = -2*p + 72 - 23. Calculate the lowest common multiple of 2 - (-8 + (-12)\/3) and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30c0 + 28?\nAnswer: 30e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/12*15 - 4\/(-2). Let h(m) = 41*m**2 - 7*m + 7. Let d(s) = 20*s**2 - 3*s + 3. Let t(o) = l*d(o) - 3*h(o). Let p(b) = b. What is p(t(y))?\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 + w. Let f(a) = a - 1. Let v(x) = c(x) - f(x). Let q(l) = -5*l**3 + 4*l**2 + 2*l - 5. Give -q(s) - 4*v(s).\nAnswer: s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8621387 is divided by 12984?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/3? (a) -0.8 (b) -4 (c) -3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1 + 31. Suppose w = -0*k - 3*k + 22, -5*k + 3*w + v = 0. Solve 5*d = -k - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (-18 - -10 - 9877\/(-249))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 32. Is 5\/6 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2582370463590.3 and 0.\nAnswer: 2582370463590.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231220777 - 231220874.999923. Let k = -98 - r. Round k to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 545, 546, 547, 548, 549?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 4*d**3 - 3*d**3 - 2 - 4*d**2 - 3*d + 0*d**3. Let h(l) = l**3 + 4*l**2 + 2*l + 2. Let c be h(-3). Determine i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17172 and 221964?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182 and 12?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136810 is divided by 521.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v. Let m(b) = 13*b**2 - 35. Calculate r(m(l)).\nAnswer: -52*l**2 + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**6\/80 - 11*f**5\/160 + 3*f**4\/32 - 8*f**2 - 14*f. Let c(p) be the first derivative of s(p). Factor c(t).\nAnswer: 3*t*(t - 2)*(4*t - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18*z**2 - 5*z + 15. Let q(j) = -9*j**2 + 3*j - 9. Let k(g) = -5*q(g) - 3*v(g). Let n(p) = -2*p. Calculate k(n(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 14 - (-2 - (1 - 2)) - (-984 - -976).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 20 + 0 = -0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 182*r**2 - 84272*r + 2627. Give s(463).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 9 - 0. Suppose -5*u = a + 107, 5*u - 208 = -3*a - 549. What is the remainder when 38 is divided by (2\/m)\/((-6)\/a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/12 - (-2152)\/(-32))\/(6 - 7). Solve -f = 58*h + 50 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55924 by 1.\nAnswer: -55924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.7 (b) 2\/3 (c) -245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/51, -0.3, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2497269034?\nAnswer: 2, 13, 509, 188701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1524931 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 less than or equal to -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**3*v**3 + 2*l**3*v - 3*l**3 - l**2*v**3 + 969*l**2*v**2 + 3876*l*v**4 wrt v?\nAnswer: -18*l**3 - 6*l**2 + 93024*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2524040 rounded to the nearest ten thousand?\nAnswer: -2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -326 + 333. Let w be b + -1 - (-33 + -6981). What is w rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*w**(-6))\/w)*w\/w**5*w\/w**(1\/22)*w**(2\/23) assuming w is positive.\nAnswer: w**(2045\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351, 344, 335, 324, 311, 296?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 - 136.0000117. Round l to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*w - 3*w - 48 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3 + 3)*(-8 - 20*z**3 - 24*z**3 + 21*z**3).\nAnswer: -69*z**5 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0*j = -4*j + 1, 126*q - 4*j - 9*j = 118*q + 53 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/15 or -1869792?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27\/36*1*96 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 - 2.1. Let n = -0.19 + z. Let p = n + -1.01. Sort -3, p, -2.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-46)\/(-69)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3 + 4*x**2 + 7 - 4*x**2 - 4*x + x**2. Let m be i(4). Let y = m + -4. Solve y = -4*p - 6 - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -835 (base 11) to base 15.\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190047 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: Let l(u) be the first derivative of u**5 - 3615*u**4\/2 + 2613640*u**3\/3 + 3615*u**2 - 2613645*u - 2777. Factor l(k).\nAnswer: 5*(k - 723)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254529276 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -2)*8\/(-3). Suppose y = -3*y + 2*l + s, y = -2*l + 7. Suppose y = 3*w - 2*w. Solve 0 = 4*j + w + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 10*r - 26*r - 107 = -13*r, 0 = 38*j - 41*j - 15*r - 531 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21\/44 + 949\/1804. Let f = 4645\/246 - o. Calculate the common denominator of f and (27\/42)\/3 - (37 - 41).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -17, -60, -161, -344?\n\"Answer: -4*v**3 + 7*v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*z - 4 = 0, 4*k = -0*k - 3*z + 17. Let g be (9\/k)\/(60\/320). What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 4. Let f(t) = t - 5. Let o be f(5). Let l = o - -2. Suppose 0*z = l*z - 4. Determine x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9*p + 0)*(3 + 3 + 2 + 1 - 2 - 3 + 0 + 1 + 0 + (-1 + 1 + 2)*(-3 + 1 + 4)).\nAnswer: -81*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240.9 + -240.8. Let g = 2.37932 + -0.04032. Let i = -0.039 + g. Sort 3, -1\/3, v, i in descending order.\nAnswer: 3, i, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*8\/32)\/(2 - 4). Let b(h) be the second derivative of -1\/10*h**6 - 1\/2*h**3 - 3*h**2 + 14*h + a + 3\/20*h**5 + 3\/4*h**4. Find g such that b(g) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s - f = -26, 0 = 3*s + 3*f - 30. Suppose -g = -4*c + 14, 2*c - s = g - 0*g. List the prime factors of (5 - 3) + g - -26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 8487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 236814451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 21*(-8)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -6*t - 55. Suppose 2*g = -4 + 12. Calculate the remainder when t is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-8)\/c)\/c)\/c)\/(c**(-1)*c)*c*c*c**(2\/25)*c*c**(-16) assuming c is positive.\nAnswer: c**(-598\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4285320 divided by 410?\nAnswer: -10452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**2 - 622*x - 22 + 582*x**3 - 5188*x - 2842*x + 22 wrt x?\nAnswer: 3492*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20\/9 (b) 30 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.067, -5120, 0.2.\nAnswer: -5120, -0.067, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -62, -95, -126, -155, -182, -207?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11546 + 19578. Suppose 4*x = 4416 + i. Suppose 2*l = -6*l + x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010000 (base 2) in base 3?\nAnswer: 201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/43617 and -79\/373860.\nAnswer: 2617020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 31*r**2 + 24*r - 64. Is 8 a factor of y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 68. Find the second derivative of -126*o - 20*o**s - 28*o**2 - 19*o**2 wrt o.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -39. Suppose -c = 2*f + 4*q + 21, 69 = -3*f + 2*q. Let w = f + 63. What is the greatest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0929, -345\/8, 0.03.\nAnswer: -345\/8, -0.0929, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -167 - 19?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 74 = 2*i, 0 = -f - 5*i + 6 + 25. Calculate the least common multiple of f and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(((-10)\/4)\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -516*i**3 + 129*i**2\/2 - 146. Find the second derivative of p(t) wrt t.\nAnswer: -3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1472.2537 * -1.1.\nAnswer: -1619.47907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*p + 2, -5*p - 633*o + 7 = -632*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, c: 5, z: 3, p: 3, f: 1}. Give prob of sequence ch.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**4 + 2940*c**3 + 423270*c**2 - 2619540*c + 3969405 = 0. Calculate c.\nAnswer: -297, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + 2 + (2 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-543*t - 385*t - 318*t + 115*t)*(3*t**2 - t**2 + t**2).\nAnswer: -3393*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -40. Let d = 28 + g. Let a = d + -7. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-23)\/138*(-125)\/120 and 65\/6?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 27 (b) -3 (c) -5 (d) 0.2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 570.6011624 + -479.059075. Let z = y - 131.542082. Let g = z + 40. Round g to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191 - -0.1377277.\nAnswer: 191.1377277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/9)\/((-1)\/1407) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*m**5 + 11*m**3 + 564*m**2 wrt m.\nAnswer: 600*m**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 468*k**3 + k - 105 wrt k.\nAnswer: 1404*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/11, 3, 1\/29, -1\/2, -5\/3, 5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 11 - 4. Let c(z) = 176*z - 6337. Let s be c(36). Sort -4, s, 3, o in ascending order.\nAnswer: -4, s, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22362436 to the nearest integer?\nAnswer: 4729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103583 - -159957. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - sqrt(143)*-1*-4)\/(sqrt(44)*5).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3680876, 7361753, 11042630, 14723507, 18404384?\nAnswer: 22085261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32422?\nAnswer: 2, 13, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 1, y: 4, i: 2}. What is prob of picking 1 o and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*i + 22 = 2*i, -5*t = 4*i - 22. Suppose 6 = 3*r, 48 - t = 2*p + 4*r. Solve -3 - p = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -436*l**4 - 31?\nAnswer: -1744*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52380 divided by 8730.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*u - 33. Is (u*17735\/(-15))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578.9042l to millilitres.\nAnswer: 578904.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132112617*d**4*s + d**4 + d**2*s - 13*d**2 - 30*d*s + 2*d - 172*s + 18 wrt d.\nAnswer: 3170702808*d*s + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-141*s + 54*s - 176*s)*(2 + 0 + 2)*(-7*s - 6*s**2 - 1 + 7*s) + (3 - 1 - 4)*(-s**3 + s - s) to y*s + k*s**3 + f*s**2 + w and give k.\nAnswer: 6314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 528860721 to the power of 1\/2, to the nearest integer?\nAnswer: 22997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-25 - 3)*3\/3. Let w be (3\/(-2))\/(0 + o\/(-12)). Sort 3\/13, w, 0.2 in descending order.\nAnswer: w, 3\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(2\/13)\/m)*m*m**(2\/13)*m)\/(m**(-3\/10)*m**(3\/5)))\/((m**1)**22)**(-11\/5) assuming m is positive.\nAnswer: m**(511\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 216\/40 - ((-9)\/15 + 1). What is the second smallest value in -4\/3, 15\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 142362350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 42088*n - 24401994. Determine i(-588).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let v be (-1723)\/1 - 1\/i. Let g = -10385\/6 - v. What is the common denominator of 18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1201 divided by 16843.\nAnswer: 1201\/16843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkfffffkf. Give prob of sequence fkff.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -681 less than 11.72?\nAnswer: 692.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -4011130?\nAnswer: -9\/4011130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (533790\/168045)\/(4\/(-102))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnll when four letters picked without replacement from clnlnntlnn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/16 and ((2 + -1)\/(-210))\/((-48)\/(-2808))?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from cbcbcllsc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6592638790 to the power of 1\/2, to the nearest integer?\nAnswer: 81195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.032 - -6.968. Which is the closest to m? (a) -4 (b) 2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19440*x**3 - 482*x**2 + 2*x + 22836957 wrt x.\nAnswer: -116640*x - 964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = 247050. Let s = -741416\/15 - b. Let v = s - 18\/5. Find the common denominator of v and -47\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 43. Suppose 20 = 6*c - 2*c. Suppose 5*v = -2*i - 25, c*i - 2*v + 7 = -99. Is 10 a factor of f(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 - 79055*w**2 + 4018270*w + 8352800 = 0. Calculate w.\nAnswer: -2, 53, 15760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -4125114531?\nAnswer: 4125114532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x + 1. Let p(k) = -12*k**2 - 16*k + 10. Let h(d) = -p(d) + 10*y(d). Determine g, given that h(g) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -33. Suppose -25 - 5 = 2*w. Let t be z\/((w\/6)\/5). Solve 0 = -3*b - t*b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -p - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1827588 (base 12) to base 16.\nAnswer: -4cc478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78.69*-6.52.\nAnswer: 513.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36961627 and 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yexevyiemyyye. Give prob of sequence vx.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43346309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose w = 3*p - 889042 - 310958. Round p to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7043142.\nAnswer: 2, 3, 43, 27299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -5 (b) 26 (c) 0.01 (d) 0.039 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*d = 12024, 12048 = -4*v - 0*d - 4*d. Let o = -5509 - v. What is o rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*r + 15, 4*q - 15 = 6*q + 5*r. Suppose q*a + 21 = 3*a. Suppose 5*y + a*h = 3*h + 1074, -5*y + 5*h + 1065 = 0. What are the prime factors of y?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/15 - f**4\/24 + f**3\/3 + f**2. Suppose 9 = 5*a + g, a - 1 - 2 = g. List the prime factors of l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 + 3 + 88*o - 338*o + 250*o - 3.\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**30))*a**(-22))**(1\/63) assuming a is positive.\nAnswer: a**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*v - 5*r, 0*v - 5 = -3*v + r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 10:27 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 306 and 5?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2168 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -39*p**2 + 65 + 22*p**2 + 19*p**2 - 65. Let c(w) = 7*w**2 + 4*w + 17. Calculate c(v(b)).\nAnswer: 28*b**4 + 8*b**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = s - 4*t, -5*s + 7 = -5*t + 2. Suppose -8 = -2*f - 0. Let k be (-215)\/(-7) + 22\/77. Solve -5*g + f*n = -k, 2*n + n = s*g - 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 937000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 6, a: 1, m: 3, x: 3, w: 5}. What is prob of picking 3 a and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwkkwkkkkywkkwkkwkw. What is prob of picking 3 k?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)*v)\/(v\/(v*v**(1\/13)\/v))*(v*v**(1\/4))**1 assuming v is positive.\nAnswer: v**(241\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9190 + -3219. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0832 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572.928 plus -15?\nAnswer: 1557.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 8 + 33 = 3*h, -3*h = -3*v - 21 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94085070 by -94.\nAnswer: 1000905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3406445.\nAnswer: 5, 7, 97327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78340984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46853 equal to 46856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0291 + -0.027993. Round x to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 7*l - 4. Let b(p) be the third derivative of p**4\/24 + p**3\/6 + 3*p**2. Determine 5*b(i) + s(i).\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyvvcy. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564.01 times -1289?\nAnswer: -2016008.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6548440726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-28) - (-60)\/14. Suppose 17*s - 741 = o*s. What is the greatest common divisor of 570 and s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -146*c**8\/21 - 13*c**4\/4 - 7*c**3\/6 + 3108*c**2. Find the second derivative of l(v) wrt v.\nAnswer: -46720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 6:39 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 2478.\nAnswer: 56994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -6. Let w = 8\/17 - 86\/255. Sort w, h, 4.\nAnswer: h, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f + 54. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 37*v + 20*v + 23*v - 10*v - 84*v.\nAnswer: -88*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5, 8, -15, 1152 in decreasing order.\nAnswer: 1152, 8, -1, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -34\/109433?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10 + 4 - 3*c - 6*c - 2*c.\nAnswer: -11*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d + 3*d + 2 - d. Let n be h(-4). Let i be n\/4*(-4 - -2). Solve 4*q = -4*t + i*t - 3, 2*q + t = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/20 - d**4\/24 - d**3\/6 + 18*d**2. Let q(h) = -4*h + 7. Let b = 14 + -12. Let g be q(b). Give p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -10. Let f = m + -39. Calculate the highest common divisor of 56 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46238324450 to the nearest 1000000.\nAnswer: 46238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = v. Suppose -x - 2*x + m = -11, v*m = x - 17. Let h be (8 - 4 - -814) + x. Round h to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**3 - 2*o**3 - o**3)*(7*o + 34*o + 70*o) - 2*o + 2*o + o**4 to m*o + w*o**4 + r*o**3 + j*o**2 + n and give w.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4190.\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47345 + -1?\nAnswer: -47346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**3\/5 + 11654*n**2\/15 + 39882*n\/5 - 14014\/3 = 0 for n.\nAnswer: -637, -11, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from eawwaeeaaaw?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1961 by -6.\nAnswer: -1961\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 10. What is the least common multiple of c(-9) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44539513*i**4*r + 2*i**4 + 6237*r + 16570 wrt i?\nAnswer: 178158052*i**3*r + 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395487 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6483601 (base 9) to base 15\nAnswer: 48b1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7242839 decades to months.\nAnswer: 86.914068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 65 = 5*f, -3*f + 2*p + 26 = 0. Find the second derivative of 25*u**3 - 18*u**3 - f*u - 12*u**3 wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16cbc57 (base 13) to base 12.\nAnswer: -25a0066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 7*g**2 - 3*g. Let j(n) = -6*n**2 + 2 + n**2 + n**3 - 2 + 2*n. Determine -5*b(v) - 7*j(v).\nAnswer: -2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3, -0.3, -2\/11, -2\/5, 733?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -27. Suppose 5 - 152 = -j*d. Calculate the greatest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13526 - -13527. Let t = -0.2 - -0.2. Let s = t + -0.1. What is the closest to s in 4, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*k. Let f(n) = -n**2 - 2*n - 270000. Let c be f(k). What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 36051281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20 + (-1)\/(15\/48) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 10:26 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 88076089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 719734634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*a + 1. Let y = 1 + a. Find the third derivative of -q**6 + y*q**2 + 0*q**2 + q**2 + 2*q**6 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 43b?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1806463770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7.0931 or -13.33?\nAnswer: 7.0931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -140440411 (base 5) in base 4?\nAnswer: -2233112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 23*v**2 + 54*v - 28. Suppose -i = 2*f - 11, 2*f - 8 = 2*i + 12. What is the units digit of d(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 17*b + 1 = -18*b, -2*j + b - 8 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 0.132 (b) -2 (c) -5 (d) -0.5 (e) -0.014\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 c when four letters picked without replacement from {f: 5, c: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 108 - 9 = 2*b, -2*d + 2*b + 48 = 0. Solve 0 = 7*h - d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - (-1 - (24 + -2 - 1)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 714*k - 110685. Give c(131).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/3784 and -91\/8712.\nAnswer: 374616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136789763 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2673765\/61 or -43832?\nAnswer: -2673765\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 6956 - 2452 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -682 or -554?\nAnswer: -554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -2b1b0507?\nAnswer: -2b1b0509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*280\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/11)\/q**(-18)*q\/(q\/(q*q**12))*q*((q**(-2\/23)*q*q)\/q)\/q assuming q is positive.\nAnswer: q**(8028\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*z = -18, -j + z = -4*j + 46. Let f be (2\/(-15))\/((-3)\/j). Let s = -277 + 279. Which is the biggest value? (a) s (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-15) + 179388\/715. Let b = -2489\/10 + f. What is the common denominator of 25\/8 and b?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 366932039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/12 + (-1)\/(-6). Which is the fourth biggest value? (a) 0 (b) 2 (c) y (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 19\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1698*f**2 + 4887*f - 4887*f)*(-2 - f + 2) + (-2*f - f + 6*f)*(1 - 1 - f**2).\nAnswer: 1695*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.7 - -9. Suppose 6 = -4*u + 2, -5*m = 4*u + 4. Let w be ((-8)\/(-42))\/((-5)\/225*-10). What is the closest to m in w, -1\/5, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.59 at most as big as -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -77*s**5\/4 - 107*s**4\/12 + s**2 + 450*s. What is the third derivative of f(v) wrt v?\nAnswer: -2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/38967 and -11\/279.\nAnswer: 116901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6841.07ml in litres?\nAnswer: 6.84107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*h + i + 18, 2*h = i + 10. Suppose 0 = h*x + 12, 2*l + 2*x = -l + 565. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*4 - (sqrt(275) + 1) - 1*sqrt(1584)*3*5.\nAnswer: -145*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 14}. What is prob of sequence jj?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**2 - 2476*j - 37755. Give m(262).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 6*p - 6. Calculate a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12. Suppose 0*c = 4*c + v - 12, 2*v = p. Suppose -3*z = -18 - c. Let n(y) = -2*y + 10. What is n(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 21 + 7. Let c(u) = -h + 7*u - 9*u + 0*u. Is c(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61\/2 - 30. Is 0 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4 - 2*v - 4. Suppose -2*m - 11 = 3*s, 2*m - 12 - 2 = 2*s. Let z(g) = -g**m - g**2 + 0*g**2. What is u(z(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/16 + (-2 - (-680)\/448). What is the closest to -8 in -0.4, -3, r, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.0104?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250980?\nAnswer: 2, 3, 5, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2 - q - 7. Let b be s(4). Suppose 0 = b*w - 116*w - 1264. List the prime factors of w.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 50. Let g(h) = -2*h - 4 - 3 + j - h**3 + 3*h**2. Give g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3 + (2 - 1 + 2)*(3 + 0 - 1))*(0 - 2 + 1)*(-4843 + 15*m - 8*m**2 + 4843) to c + l*m + g*m**2 and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-7)\/(28\/832) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.863481 years to months.\nAnswer: 46.361772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*f - 7, 4 = 5*d + 9. Suppose -5*c + 6*c = f. Let o(g) = 3*g**2 - 2*g - 1. What is the units digit of o(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2056469 < -2056470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*s**2 - 16*s**2 + 3*s**3 + (-47*s + 224 - 224)*(1 - 1 + s**2).\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*m + 4*m + 4*m)*(m + 2*m - m) + 9 - 9 - 4*m**2)*(-m + m - m)*(-179 + 179 - 19*m).\nAnswer: 38*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*o + 0)*(o - o - o) - 2 + 2 + 2*o**2 + 1 - 2*o**2 - 1)*(-3*o - 2*o**2 - 2*o + 3*o + (3 - 1 - 5)*(22*o**2 + 26*o**2 - 3*o**2)).\nAnswer: -274*o**4 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 140*y**5 + 1024*y**4 - 1172*y**3 - 12184*y**2 + 8592*y - 1440 = 0 for y.\nAnswer: -6, -5, 2\/7, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1715*m + 3892. What are the prime factors of s(-6)?\nAnswer: 2, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16968 = 161*z + 111*z + 132*z for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1583*a + 82*a + 77248 = 15707 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k*k**(-1\/14)*k*k)\/k*k**5 assuming k is positive.\nAnswer: k**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((-24 + 26 - 24) + 23) - -105.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 - -5.11. Let f = -2.9 - -3. Let x be ((-33)\/27 - 3) + 4. Which is the biggest value? (a) f (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = 104. Let u = 84 + z. Suppose -u + 5 = -2*r. Solve 5*q + 4 = -r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -4 + 0)\/((-46)\/(-69)). Which is smaller: z or -14.27?\nAnswer: -14.27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 17 = -70 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnncnvvv. What is prob of sequence nv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(18\/((-30456)\/(-18))). Calculate the greatest common factor of 1598 and a.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(3\/189*9)\/(2\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/28)\/(132*4836\/18304 - (35 + 0))?\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123094834 + 123094811.01367925. Let a = -0.01356625 + k. Let c = 23 + a. Round c to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69904 is divided by 6353.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 208 = -2*o, -3*o + 0*o - 4*p + 333 = 0. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2556 divided by 6\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3702, 7405, 11108, 14811, 18514?\n\"Answer: 3703*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**2\/13 + 148*m\/13 + 30\/13.\nAnswer: -2*(m - 15)*(5*m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 827340?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2141.8 rounded to the nearest 10?\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -303 + 311. Let x(r) = 1 + 14*r + 19*r - 32*r. Let t(p) = 2*p + 1. Calculate i*x(q) - 5*t(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 7*b**2 - 5*b - 16. Let j be g(-3). Solve 2*a + u - 4 = 0, a - 3*u + j = -6*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 2*l**2 + 42*l + 13. What is o(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 - 3*z**2)*(25*z**2 - z**3 + 5*z**3 - 7*z**2).\nAnswer: -4*z**5 - 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 505, 746, 983?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -8*o + 12*o. Let k = o + -27. Suppose -5*h = -h + k*t - 25, -3*h - t + 27 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/5)\/j**(-1\/4)*(j**(2\/3)*j)**(-36) assuming j is positive.\nAnswer: j**(-1203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 + -1 + -1) - (3 - 12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*j - h - 2667, 3*j + h - 1598 = 0. Suppose -j = 4*o - 3097. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, and 1 u when three letters picked without replacement from ouomosooolmlm.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 297187 = -j - 101664, n + 977678 = 5*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 13 = -37. Solve -2*k + f + 4 = 0, -x*f = -5*k + k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438851*m = 438845*m + 3*l - 42, 12 = -m + l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94254829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 497 + -499. What is the hundreds digit of (2256\/36)\/(4\/(-72)*v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**4 + 1997*o - 1997*o + 98 + 17*o**2 wrt o.\nAnswer: -12*o**3 + 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -76*z + 387. Calculate l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let l(n) = 3*n - 1. Let o(x) = 10*x - 2. Let c(w) = -7*l(w) + 2*o(w). Let d be c(0). Let r(v) = 4*v - 1. Calculate d*k(i) + r(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2181, 4391, 6541, 8637, 10685, 12691, 14661?\nAnswer: 16601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -9)\/(15\/(-1))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 - (1178 - 1166) - 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7458296 to the nearest integer?\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/223352 and -3\/139595.\nAnswer: 1116760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 5:21 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385523 + 7*h**2 + 385523.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-9)*3*99\/165.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1113 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -405.06 + 405. Sort 4, c, 2\/11, 3 in ascending order.\nAnswer: c, 2\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -3*n**5\/5 + 790*n**3\/3 + n**2\/2 - 4754*n + 3616. Differentiate r(x) with respect to x.\nAnswer: -12*x**3 + 1580*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -2 (c) 2\/13 (d) -0.039 (e) -3\/2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015695?\nAnswer: 3, 5, 267713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21100761 by 3.\nAnswer: -7033587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twp. What is prob of picking 1 w and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/11 - 20*v**2\/11 + 34*v\/11 + 56\/11.\nAnswer: 2*(v - 7)*(v - 4)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/33286457?\nAnswer: -4\/33286457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65183686 to the nearest integer?\nAnswer: 8074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 + c**3 - 4*c**3)*((1 + 0 + 2)*(2*c - 4*c + 3*c) - 8*c + 5*c - 6*c).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 8. Let d(c) = 30*c - 7. Let k(x) = 23*x - 4. Let v(a) = -3*d(a) + 4*k(a). What is -5*n(s) + 8*v(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22245*s**2\/2 + 111117*s\/2 + 270.\nAnswer: -3*(s - 5)*(7415*s + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-322)*(8\/(-36))\/((-18)\/(-9))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 8. Let h = j + -4. Suppose -4*v + 101 = -4*m + 5, 5*v + 5*m - 90 = h. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 7:14 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 66\/12)*4. What are the prime factors of ((-54)\/3)\/6 - a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14*28\/24.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)\/sqrt(160).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296061 by -98687.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6739\/275 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*n - 16, 2*c + 2 - 3 = n. Solve 5*z + 0 = -n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*n**2 - 30*n**4 + 16*n**2 - 47*n**2 wrt n?\nAnswer: -720*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442247 - 415147 = -12426*p for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 14. Does 18 divide (-3)\/w + (-238)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1980) + 2*sqrt(1980))\/(sqrt(176)*-6) + 0).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 5*p - 7*p)*(0*p + 0*p + 2*p**2) + 0*p**3 - 8*p**3 - 11*p**3 + 0 + 0 + 4*p**3.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4 - 2 + 2 + 1 + (2 - 1 - 3)*(3 + 4 - 6))*(-2*l**2 + 0*l**2 - 2*l**2).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -288, -1078, -2490, -4602, -7492, -11238?\n\"Answer: -13*n**3 - 233*n**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11926 bigger than 12351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(729)*-1 + sqrt(729))\/(sqrt(300)*-1 + sqrt(300) + sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -59. Suppose g - f = -2*j - 6, -j - 39 = -2*g. Calculate the greatest common factor of 42 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(0 - (-8)\/24). Suppose j + 17 - 21 = -5*w, g*w = -4*j - 1. Solve 0 = -3*d - w + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + s**4 + 2*s**4)*(s - s - 2*s) + s**3 - s**3 - s**5 + 5*s**2 - 5*s**2 - 7*s**5.\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, v: 6}. What is prob of picking 4 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -821178 divided by -410589\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34795?\nAnswer: 5, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m - 9. Suppose 5*n + 4 = -5*z + 9, 0 = -m*z - 4*n + 1. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15280*v = 15248*v + 768 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0679*227.6\nAnswer: 15.45404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3\/5 - 72*j**2\/5 = 0. What is j?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9789799.\nAnswer: 349, 28051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -6 - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -483868380 divided by 16128946?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -1\/4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 3. Suppose 12 = -4*a - 4*s, 2*s - 4 - 2 = 2*a. Let f(u) = -u - 3. Let m(r) = a*q(r) + 4*f(r). Determine m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/((t**3*t)\/t)))\/t*t**(-5))\/(t**(-2\/17)*t\/t**4))\/(t**(-2)*t**7)**50 assuming t is positive.\nAnswer: t**(-4248\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 7*k - 12. Suppose k*z - 226 = -4*p, -2*z + 116 = -4*p + 6*p. Let i = 237 - p. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 37. Let j = l - -25.999962. What is j rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, -5.4, -0.8, 6?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6215 - 842. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**14\/u)\/(u*u*u**(12\/5)))\/(u*(u*(u\/u**4)\/u)\/u*u)**(-5) assuming u is positive.\nAnswer: u**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**4 + 505*f**3 + 2368*f - 71735302 wrt f.\nAnswer: 16*f**3 + 1515*f**2 + 2368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c + 3*g = 327, -4*c - 5*g + 272 = 0. Let t(l) = 14*l - 10. Let i be t(7). Suppose -o + 5*o = i. Calculate the remainder when c is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -52. Let o = f - -63.74. Round o to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 4.206129.\nAnswer: 29.442903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10875*i**2 + 260971*i + 43. Calculate t(24).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*f*h**4*u + 32*f*h**4 + f*h**3*u - 22*f*h*u + 5*f - 72*h**2*u - 2*h*u - 2*h wrt h.\nAnswer: -1824*f*h*u + 768*f*h + 6*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y + 44*y - 15*y to the form q*y + z and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvooovvoioivo. What is prob of sequence vvv?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3533249, -3533259, -3533269?\nAnswer: -3533279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.9, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000120511719 to 6 dps.\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41165733107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 + 3 - (-4 + (0 - 4))) + 9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/10 + 4\/(-10). Suppose -2*m + 10 = -4*m - 3*k, 0 = m + 2*k + 7. Sort -2, m, p in decreasing order.\nAnswer: p, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbbgbg. Give prob of sequence gb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 0*(-3 + 7 + -3). Let s be 0 - p*1\/(-8). Let v = 0.6 - 0.5. Sort -0.4, v, s.\nAnswer: -0.4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -172, -1338, -4496, -10642, -20772, -35882, -56968, -85026?\n\"Answer: -166*h**3 - 4*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*n - 8*n + 13, 2*s - 7 = -n. Suppose n*b + 5*b - 102088 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17726154 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2506 + 2880. Which is the biggest value? (a) 3\/5 (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/(16\/(-12)))*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o + 2*h + 13, 4 = -29*o + 27*o + 3*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152840.71 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.9, -9, -0.4, 1\/3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*d + 336, 3*y - 3*d = -8*d + 520. Suppose 8*i - y = -2*i. Let k(a) = -a**3 + 18*a**2 - 12*a + 3. List the prime factors of k(i).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**3 - 3*b**2*n + 3*b**2 - 2*b*z**2 - 36*n*z**2 - 5*n wrt b?\nAnswer: -6*b**2 - 6*b*n + 6*b - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*f = -3*w + 3, 3*w + 4 = -4*f. Suppose 0*u = 5*u + 10. Let r be 2 - (w\/(-1) + u). Solve -3*x + 3 = r*c, 0 + 1 = 3*c + 2*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*g + r = 431*g - 16, 5*g - 2*r = 39 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17)*-2 + (sqrt(153) + -2*sqrt(153))**2 + -2 - 4*(-2*sqrt(119)*-2)\/sqrt(7).\nAnswer: -18*sqrt(17) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -230400 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z**3 + 2*z**2 + 12*z - 31. What is the thousands digit of f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12322203 - 2?\nAnswer: -12322211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + 0.01. Let v be -2*(8\/4)\/(-4)*-337. Let c = v - -6401\/19. Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/105)\/((-4)\/185). Let p = s - -9. What is the nearest to 0 in 0.2, p, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 7 (c) 1\/6 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52338204 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {b: 3, k: 6, x: 3, g: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4883.117 take away 95.4?\nAnswer: -4978.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10023 and 0.08.\nAnswer: -10022.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 76, 192, 384, 670, 1068, 1596, 2272?\n\"Answer: 3*a**3 + 11*a**2 + 4*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -15*c**3 - 5*c**2 - 5*c + 5. Suppose -60*h + 149 + 281 = -103*h. Let s(b) = 7*b**3 + 2*b**2 + 2*b - 2. Determine h*s(d) - 4*z(d).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - s**2 + s**2 + (4*s + 2*s - s)*(s + 0 + 0) + 4*s - s**2 - 4*s)*(-1 + 0 + 3) to the form l + i*s**2 + r*s and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -48*f + 72*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60223, -59924, -59625, -59326, -59027, -58728?\nAnswer: -58429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.375 - 3.275. Which is the closest to 2? (a) 0.22 (b) 15 (c) -1\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 5*b**2 - 6*b**2 + (-2*b - 1 + 1)*(3*b - 7*b + 5*b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45778, 45772, 45762, 45748, 45730, 45708, 45682?\nAnswer: 45652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 2*g + 28. Suppose 0 = 6*z - 2*z. What is the tens digit of c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16344217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15 and 11.6?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -200312 (base 7) to base 16\nAnswer: -83ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, 1\/9, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54890091.\nAnswer: 3, 6098899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 17.9. Let l = 4.8 + -4.9. What is the nearest to 22 in l, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884640 is divided by 3863?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.025 + -1.025. Is 0.03 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 - 48695*x + 1699409. Give k(35).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/29 in -2\/3, -2, -9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85092093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/5)\/2)\/(32\/80).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 3*q - 3, 23*q - 28*q - 5 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166073417*f**2 - 9*f + 485533?\nAnswer: 332146834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -13, 2.\nAnswer: -13, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 2*k - k**3 + 3*k**4 - 2*k**4 + k**2 as x*k**2 + t*k**3 + z + q*k**4 + y*k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 292\/3, -4\/7, -4\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 5*t - 10*t + 15*t - 6*t.\nAnswer: 7*t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1 (b) 2\/587 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9524047 divided by -601?\nAnswer: 15847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8541748 milligrams to grams.\nAnswer: 0.0008541748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 0. Suppose 698 + 1367 = -338*c - 977. Sort 0.3, c, j in decreasing order.\nAnswer: 0.3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*a - 1220*a + 585*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 39. Let x be g(-21). Suppose 0 = r - 2*o - 979, x*r - 6*r + 2992 = 5*o. Let p = r + -8968\/9. Calculate the common denominator of p and -43\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*o - 15286 = 4014 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10464, 18749, 27046, 35355, 43676, 52009?\nAnswer: 60354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4373, 4380, 4399, 4436, 4497, 4588, 4715?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1672, 4173, 7496, 11647, 16632?\n\"Answer: a**3 + 405*a**2 + 1279*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -x - 7. Suppose 0 = 4*g - 2*p - 20, 7 = x*g + 3*p - 7. Suppose -g*y - y + 105 = 0. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**4\/4 + 3*d**3\/2 + 9*d**2 - 23. Let r(b) be the second derivative of i(b). What is the first derivative of r(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/50 and -117\/1340.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 13 = j - 3*j, -j + 14 = 3*g. Suppose g*b - 7*b + 28 = 0. Let m(a) = a - 3. Calculate m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2047 - 77170?\nAnswer: -101237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (104 - 3\/1). Let b = 169 + a. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*x = 212*x + 2*n + 53, 0 = 6*x + 2*n + 62 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5080\/9 - 568. Which is greater: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 68.04913cm?\nAnswer: 680491.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28112 and 828300?\nAnswer: 23192400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120011121011022 + -10?\nAnswer: 1120011121011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1965*k**2. Let b(o) = -24*o. Calculate b(a(c)).\nAnswer: 47160*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z)\/(z\/(z\/((z\/z**(-2\/19))\/z*z)*z)*z)*((((z*z*z**(-2\/29)\/z)\/z)\/z)\/z)\/z*z*z**(-6) assuming z is positive.\nAnswer: z**(-6708\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 177*u - 3181. Let h be f(18). Let y be ((-4)\/6)\/((-4)\/6). Let l be (3 + 0\/y)*1. Put -1, l, -3, h in decreasing order.\nAnswer: h, l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k + 41*k + l - 3 = 0, -3*l = 4*k + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -178*o**3 + 6*o**2 - 8*o + 50. Let h = 387 - 381. Let y be m(h). Round y to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6341356+0.7470693\nAnswer: 6341356.7470693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2496, -2458, -2342, -2106, -1708, -1106, -258?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 573145 by -6.\nAnswer: -573145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 78. Put 12, r, -4, 4 in descending order.\nAnswer: 12, 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2177889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 100432?\nAnswer: -100426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**0)*j**(-2\/7) assuming j is positive.\nAnswer: j**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 + 3*b - 17. Let n be 4 + ((-1)\/2*-6)\/1. What is the tens digit of c(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*v - 3, -4*v + 7 = 3*d - 2*d. Let x be 1 + (18\/14)\/d. Let l = -2.4701 + 2.2701. Which is the nearest to x? (a) l (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from yuddyuuududyd?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339906 by -169953.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v, 2*v + 0*v = -3*d - 16. Is 12 a factor of (d - 587\/(-9)) + 6\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7*i - 5 = -3*m, -m + 2*i - 5 = 0. Suppose 8275 = m*l + 5*n, 8*l + 1640 = 9*l - 4*n. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let y(x) = -1764*x + 380. Determine u(y(v)).\nAnswer: 3528*v - 760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*y**4 + 2 - 5 - 3 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/13)\/i*i*i)\/i)\/(i**8*i))**(4\/11)\/(i**(1\/9)\/(i\/i**(1\/5)*i*i)*((((i\/i**(1\/6))\/i*i*i)\/i)\/i*i)\/(i\/((i\/i**(3\/4))\/i))) assuming i is positive.\nAnswer: i**(10007\/25740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*x + 5*x - 31 = 0, 5*f = 3*x + 11. Solve -f*c + 16 = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Suppose 0 = -2*o + 3*i + 74, -j*o - 4*i + 156 = -29. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0138? (a) -3 (b) 421 (c) 3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 53*a**4\/6 - 19*a**3\/3 - 2*a**2 + 189*a. Is k(3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*z - z + 6, m - z = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 293. Let x = 133 - p. Round x to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/2*h - h**2 - 9\/2.\nAnswer: -(h - 9)*(2*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157053 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 13. Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -388, -387, -386, -385?\n\"Answer: a - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*c = 38, 41 = 3*t - 4*c - 29. Suppose 32*h = -174 + 878. Solve 2*i + t - h = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 0. Let y = t - -3. Suppose 137 + 68 = 5*g + 2*k, g - 4*k - 19 = y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12*c + 199. Calculate k(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 41927 - 20935 - 20943.\nAnswer: -5*f + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 22 - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121230320993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 32 + 15)*(-a - 2*a + 0*a).\nAnswer: -204*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(3 + sqrt(200)) + sqrt(200) + 5 + -1 + sqrt(200))*3)**2.\nAnswer: 3780*sqrt(2) + 16641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d1 (base 15) to base 10.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 78. Let t be h(-19). Let z be (2 - 1)*4*17. Suppose -t*n = -96 - z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2846*j - 357*j + 3637*j + 2723*j.\nAnswer: 8849*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 9:06 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8641960 to the nearest integer?\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86022 and 2310444.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -16*l + 39*l - 56 + 7*l. Let q(w) = -26*w + 55. Let x(y) = 6*b(y) + 7*q(y). Let a(h) = -h**2. Give a(x(k)).\nAnswer: -4*k**2 + 196*k - 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*w**2 + 2*w + 111*w**2 - 37*w**2 - 37*w**2 - w + 124 as v*w**2 + m*w + t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 7*i**2 + 11*i + 72. Let w be j(9). Suppose 0 = -h - 4*n + w, -n = n - 8. Let r(d) = -6*d + 7. Let o(l) = -3*l + 4. What is h*o(b) + 4*r(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, -4, -3, -2 in increasing order.\nAnswer: -4, -3, -2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2720 in -1\/12, 1\/4, 0.005?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 9*h**2 - 22*h. Calculate s(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/5)*o)\/((o**(-3\/4)*o)\/o*o)*o**(5\/8)\/o*o*o\/(o\/o**(-11)) assuming o is positive.\nAnswer: o**(-321\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o. Suppose -b - 3*b - 4*i = 416, 2*i = -5*b - 526. Let n = 184 + b. Let q(l) = n*l - 46*l - 38*l. Calculate x(q(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1058111 and -1058960 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 348\/70 - 2534\/(-88690). What is f in 0*f - 2\/3*f**q - 14\/3*f**2 + 8\/3 + 2*f**4 + 2\/3*f**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by 32\nAnswer: 135\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:27 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 178 = 2*z, 0*z - 3*g - 88 = z - 29 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1013 = 2*j, -j - 63 + 571 = -2*l. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 576 = -65*w + 67*w, -2*w = -p - 611. Solve -299*f + 12 = -w*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29.4 and -0.07.\nAnswer: 29.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 51, 131, 249, 411, 623, 891, 1221?\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-2))\/(200\/(-80))*1)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.067, 0.1, 2\/5, -3, -0.037, 3 in decreasing order.\nAnswer: 3, 2\/5, 0.1, 0.067, -0.037, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-1)*20\/(-2). Suppose -4*o = -3*a - 41, -2*o - 3*a + s = -a. Suppose -833 = v - o*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let h be v(2). Let u(x) = x**2 + 2. Let k be u(-4). Suppose -14*j - 20 = -4*l - 11*j, -j = 4*l - 4. Solve h*w = -9*p + 4*p + k, -l*p = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f**3 + 38*f**2 + 4*f + 15. Let o be u(4). Which is greater: o or -1\/19028?\nAnswer: -1\/19028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 155*t**2 - 1275*t - 1125.\nAnswer: -5*(t + 1)*(t + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 2:33 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 713\nAnswer: 2\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36180 is divided by 3527?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -27) + 1 + 45 + -4 - (-3 + -2).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -266, -4, 0.2, -2\/13 in decreasing order.\nAnswer: 0.2, -2\/13, -3, -4, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j = -2384*j - 89427 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 + -14 - -11) + (11 - 18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 718*v**2 - 40673*v + 25. Calculate t(62).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 8)*(-4*m**3 - m**3 - 6*m**3).\nAnswer: -77*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3215 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.0753 + -0.0247. Which is the third smallest value? (a) -1\/4 (b) -7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2061 - 7407 = -112*u + 79*u. Calculate the highest common divisor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1)\/((-6)\/45) + 3. Let q = s + -21. Let p(u) = 2*u**2 - 2*u + 4. Let h(w) = -w**2 - 1. Let y(m) = q*h(m) - p(m). What is y(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211 by -1910.\nAnswer: 211\/1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -85 * -3\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7665*i + 10. Let k be c(6). What is k rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 131*g + 70. Let x be y(66). Let s = 1 + -2. Let t = s - 2. Which is the nearest to -1\/2? (a) x (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 + 7.5. Let x = 10 - y. Let w = 13\/14 + -2\/21. What is the nearest to x in w, 0, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75674010 divided by 2?\nAnswer: 37837005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 3*t - 70 = 0. Calculate the remainder when (t\/4)\/(-1*3\/36) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-7)*t)\/t*(t*t**(3\/2))\/t*t**(2\/29)*(t\/(t**(-1)\/t)*t)\/t assuming t is positive.\nAnswer: t**(-83\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 2*b + 0*b)*(-3*b**2 - 2*b**2 + 3*b**2 + (-2 + 2 + 2*b)*(-2*b - 6*b + 4*b) + 4*b**2 - b**2 - 5*b**2).\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 371713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -324 in 0.2, -0.4, -2\/15, -1\/3, -2\/105?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*k - 142. Let j = -20 + k. Let q be j\/(-18) + 1\/(-6). Solve -q*f + 6 = 0, 8 = -4*m + 2*f - 4*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**3\/3 - 11*g**2\/2 + 8*g + 16954. Let j(b) = b**3 + 2*b**2 - 1. Let q be j(-3). Calculate u(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = -24. Let x = d - 2. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*d - 774*d - 5*f = 14, 19*d = -5*f + 133 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450075847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.96 - 14.352691607?\nAnswer: -17.312691607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.77469 and -4949.\nAnswer: -4947.22531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 137613700*a + 946876521384500.\nAnswer: 5*(a + 13761370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2751558 or 2751615?\nAnswer: 2751615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -124, -163, -200?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, n: 7}. Give prob of picking 1 n and 1 b.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 130 + 305 = 0. Let b = -50 + a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2844 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-122)\/10*(-15)\/(-1074) and (462\/(-28))\/(297\/81)?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2318 (base 11) to base 3.\nAnswer: 11011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -926, -1386, -1698, -1838, -1782, -1506, -986, -198?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 + 48700796*a**2 - 14823546825456117*a\/5 - 29647094624928162\/5.\nAnswer: -(a - 121751991)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose 2*u + 18 = 4*b, -4*b + u = -0 - 15. Suppose 0 = c + r, -5*c - b*r + 3 + 1 = 0. Factor -3\/2*l**c - 1\/2*l**3 - 1\/2 - 3\/2*l.\nAnswer: -(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1747, 1748, 1749, 1750, 1751, 1752?\nAnswer: 1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:03 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 13*g**2 - 35*g**2 - 13*g**2 - 30.\nAnswer: -35*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 7*b**2 + 3*b - 10. Calculate n(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.6816414 rounded to 3 dps?\nAnswer: 28.682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 246701565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0 + 0*j**7 + 0*j + 0*j**4 + 0*j**3 - j**2 + 0*j**6 - 5\/112*j**8 + 11\/60*j**5. Find the third derivative of q(i) wrt i.\nAnswer: -900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 + 25*a**3 - 135 - 1352.\nAnswer: 25*a**3 - 1189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 6. Let j(n) = 2*n - 11. Let i(p) = 2*j(p) + 5*u(p). Let w be i(5). Solve w*y = 2*y - 2*r - 2, -3*y + 10 = -2*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(((sqrt(4212) - -1*sqrt(4212))**2 + sqrt(4212) - ((sqrt(52) - (sqrt(1872) + -2)**2) + sqrt(52))) + sqrt(364)\/sqrt(28) + 1).\nAnswer: -112348 + 198*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -2756?\nAnswer: -2752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**11))\/j)\/j*j**4)**19 assuming j is positive.\nAnswer: j**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m**2 - m + m + 53*m**2.\nAnswer: 95*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 0*x**2 + 2*x**2 + 4*x**2 - 5*x**2 - 3*x**2. Let i(g) = 458*g - 1. Determine d(i(y)).\nAnswer: -419528*y**2 + 1832*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 263*t**2 + 5177*t - 7062. Give r(-107).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29\/(((-9)\/18)\/(1\/2)). Let s = 30 + h. Suppose s + 2 = -3*a, -j + a = 1179. What is j rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 54*q - 118*q - 1 + 58*q + 1. Let z(j) = -6*j**2 - 10*j - 14. Let y(r) = 5*r**2 + 9*r + 12. Let b(g) = 7*y(g) + 6*z(g). What is h(b(d))?\nAnswer: 6*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*m + 305*m - 129*m - 1480. Solve m = 8*o - 18*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1632517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -271 and -280 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-25)\/(-10))\/(2\/(-16)). Let b = -17 - g. Suppose 7*q = b*q + 48. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 - 5 + 5. Let g(n) be the first derivative of n**6\/40 + 3*n**3 + 6. Let o(z) be the third derivative of g(z). Determine -2*o(i) - 5*y(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 23. Let r be i(-6). Let w(d) = -7*d**3 - 5*d**2 + 9*d - 13. Let j(l) = 3*l**3 + 2*l**2 - 4*l + 6. Give r*j(c) - 2*w(c).\nAnswer: -c**3 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/10)*w*w**(12\/13)*w*w**(1\/3)*w**(-7))**(-16\/3) assuming w is positive.\nAnswer: w**(10744\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 301292 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.6 - -9809185361895.\nAnswer: 9809185361900.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 2037526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 95, 77, 71, 83, 119?\n\"Answer: g**3 - 25*g + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 4 (b) -42 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, g: 1, b: 5, a: 2, d: 1}. What is prob of sequence bgxx?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 7:04 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(140))\/sqrt(10))\/((sqrt(7) - sqrt(7)*-1)*2).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104204 - -11143?\nAnswer: 120402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58108\/3650 - (-2)\/25 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + -94 - (2 + (-24 - -1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*z - 228 = 0, -2*j - 5*z + 175 = 30. Let d = j - 53. Suppose 19*y - d*y = -3411. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -22*v**3\/3 + 4882. Let j(u) be the first derivative of u**2\/2 + 1. What is w(j(m))?\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 4*f**2. Let d(x) = x**3 + x + 1. Let y(n) = 4*n**3 - 5*n**2 + n + 1. Let l(r) = d(r) - y(r). Calculate 5*l(p) - 6*z(p).\nAnswer: -3*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -4*s**5\/5 - 7*s**4 - 24*s**3 - 40*s**2 - 32*s - 16. Suppose v(t) = 0. What is t?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 9, 2, 3\/4, 1\/4, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 + 243 = 45*c - 294. What is the remainder when 2335 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96776153?\nAnswer: 487, 198719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4253, -4208, -4113, -3962, -3749, -3468, -3113?\nAnswer: -2678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3052 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002379 to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.3 (c) 0.97 (d) -189 (e) -1 (f) 0 (g) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 9*l - 126*l**3.\nAnswer: -126*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 1, w: 3, b: 3, o: 4}. What is prob of picking 1 e and 3 w?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, 49 in descending order.\nAnswer: 49, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -593*q - 1912. What is the thousands digit of z(-37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741 - 699 = 7*b. Solve -3*a = -3*i - 9, 2*i - 12 = b*i - a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*i**2*v**2 + 2*i**2*v*x**3 + i*v**2*x**2 - 18*i*x**2 + 20*v*x - 3*x**3 wrt i?\nAnswer: -602*v**2 + 4*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 2*d - d**2 + 3*d**4 + 0*d - 2*d**3 - 5*d + 2 as j + c*d**2 + y*d**3 + z*d**4 + i*d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, g: 2, w: 1, n: 4, y: 4}. What is prob of sequence gwk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*21*(0 - 1). Suppose u - 3*w + 18 = 0, -w = -u + 3*u + 1. Is 6 a factor of (l\/1)\/(u\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9*k + 13. Let j(i) = 611*i. Determine j(q(m)).\nAnswer: -5499*m + 7943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1200832, -2401921, -3603010, -4804099, -6005188, -7206277?\nAnswer: -8407366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1522294162839 and 9.\nAnswer: -1522294162830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/(-45))\/((-2)\/(-10)). Let b be (-3)\/9*-1*9. What is the units digit of i\/9 - (-5)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 118*t**2 + 3*t + 690. Let m(i) = -237*i**2 - 5*i - 1380. Let h(x) = -3*m(x) - 5*r(x). What is the first derivative of h(u) wrt u?\nAnswer: 242*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10 and -51\/628.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416783727 - -47?\nAnswer: 2416783774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -11 + 0 + -5 + -23 + 27\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 334, 501, 668, 835?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1*sqrt(1216))**2 - 2*sqrt(19)*-2) + ((sqrt(2736) + 3*sqrt(2736) + sqrt(2736))*-6)**2.\nAnswer: 4*sqrt(19) + 2463939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24381*c**2*h**3 - 1644*c**2*h - c*h**4 - c*h + 166*h**2 + 1 wrt h.\nAnswer: -146286*c**2 - 24*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 28*c**2 + 6*c + 4. Let n be v(-6). Suppose r = -w + n, -4*w + 2059 = -r - 1865. Suppose l - w = -l. Round l to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, f: 4}. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866369431 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 divided by 17?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0 + 10. Suppose t*w = -q + 17, 0 = -3*q + w - 0*w + 65. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19592851 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122 and 22194?\nAnswer: 1353834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006090283118 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*u = 1182 - 702 + 1160 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 23, 29, 37, 47?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a. Let g(m) = 35899*m**2 + 4*m. Calculate g(h(r)).\nAnswer: 574384*r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6*c = 4*p - 18, 0 = -5*c + p + 23. Suppose -2*m - 146 = -c*s, -s + 20 = -2*m - 3*m. Let -5*k**2 + 15\/2*k**3 + 20 - s*k = 0. What is k?\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8) - 5\/20)*18. Is 8 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 18 + 6*f**2 + 3 - 2 + 32 - 3.\nAnswer: 6*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.59 and 127.65.\nAnswer: 126.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s + 11*s**2 - 1178831973613 + 1178831973613.\nAnswer: 11*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1\/31, -1\/4, 33 in decreasing order.\nAnswer: 33, 2, -1\/31, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -26*s - 4. Let q be p(6). Let j be -3*(q\/36)\/5. Solve -2*f**2 + 0 - j*f + 2\/3*f**3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 4\/7, -12649?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/(((-5005)\/234)\/(-35)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2121\/13 - 23292\/143. Let p = 8 - 12. What is the third smallest value in p, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608246 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 30 = -11*i. Suppose t - 3*t + 17443 = g, 43620 = 5*t + i*g. Suppose -11*k + t + 774 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 234, 547, 992, 1569, 2278?\nAnswer: 3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:18 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 11147.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5310655 <= 5310656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/13 (b) -2\/9 (c) 1873 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 9. Let v be 8\/2 - (-5 + 2). Let i be j(v). Solve -2*h**4 + 5*h**2 - h**3 - 3*h**2 + 0*h**4 + i*h - h**3 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 6) to base 5\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207 is divided by 1002.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000543357095 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -471*x + 5. Let g(l) = 1878*l - 21. Calculate 2*g(i) + 9*h(i).\nAnswer: -483*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 67 = 5*c, -c - 117 = 5*o - 4*c. Is o\/(-16) + 525\/6 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(d*d*d\/(d**(-13\/7)*d)))*d\/(d*d**27) assuming d is positive.\nAnswer: d**(-155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + -5 - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(114) - (sqrt(114) + -5*sqrt(114)*-3) - sqrt(114))*-4)\/(-2*-3*sqrt(150)).\nAnswer: 64*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + m - 20, -5*k + m = 14 - 34 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68.8 - 73.8. What is the third smallest value in -2\/3, 0.02, b?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 554 and 47921?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -7. Let t(r) = -10*r**2 - 9. Let u(y) = y**2 + 7. Let b(p) = -3*p**2 - 20. Let k(a) = 6*b(a) + 17*u(a). Calculate m*t(o) + 18*k(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 3. Let k(x) = 4. Calculate -2*k(m) - 3*n(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/2 + 15629*t**3 - 15634*t**2 - 140661*t + 281331\/2 = 0?\nAnswer: -31259, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 881 + 5?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(35\/(-21)))\/((-99)\/(-44)). Let u be 4*2\/(-60)*(-7 - -2). Let -u*g + s*g**3 + g**2 - 2\/3*g**5 + 0 - g**4 = 0. Calculate g.\nAnswer: -2, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -15 - 96*y - 125*y**2 + 95*y + 126*y**2. Determine j(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.1, -3876, -1\/3, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - 0 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7793\/1995 - -23\/133. Calculate the common denominator of u and -2 - (142\/(-30))\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11962 + -11591. What is the remainder when 1495 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784200 to the power of 1\/2, to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012308695 to five dps.\nAnswer: -0.01231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 5. Let r = -6 - c. Let u = r - -9. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 766483 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 26. Let q be h(-7). Suppose -4*v + 717 = -q. Suppose -v = 11*d - 899. What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (4 - 2) + 35 + -36 + -33.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -81. Which is the nearest to -3\/2? (a) -0.3 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 31476 + 1 + 1*(-29 + 25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 4*a + 2*a)*(-3*a + a + 3*a) + (0*a + a - 3*a)*(6*a - 3*a - a) - a**2 + a**2 - 2*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56235765.\nAnswer: 3, 5, 659, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 - -22641?\nAnswer: 22674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445469992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244\/(-350) + (-54)\/21*(47 - 4686\/99).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + -25 + 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637122043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 2*u**2 + 4*u + 6*u + 11. Let g be m(-8). What is the greatest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*l**4\/9 + 5221188*l**3 - 625888046786*l**2 + 536472591696*l - 114958207008 = 0. What is l?\nAnswer: 3\/7, 239748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 11996 = 4*d, -2*d - 12002 = 2*m - 0*m. What is m rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 6) to base 2\nAnswer: -1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 + 1. Let n(u) = -140*u**3 + 22*u**2 - 22. Determine -44*l(q) - 2*n(q).\nAnswer: 236*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -130 (b) 2 (c) 1\/5 (d) 3\/2 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o*o**(-1\/25)*o*o*o**(-2\/29) assuming o is positive.\nAnswer: o**(3546\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - 0.2. Let g = -31.9 + 36.88. Let k = y + g. Which is the closest to -2\/5? (a) -0.1 (b) 6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 30 = -17*m. Suppose -3*h + 60 = m*f, 0*f = -3*h - f + 72. Calculate the greatest common divisor of 100 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**34*s*s**29)\/(s\/s**(-1\/16)*s**(1\/7)))**(-8) assuming s is positive.\nAnswer: s**(-7257\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 + 4*d + 3. Determine n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*w + 6 - 0, 5*a = 4*w - 3. Is -3 + 1884 + (3 - a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s = -13*s - 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 16*y**2 + 520029*y - 520029*y. Let o(z) = -z**2 - 9*z. Calculate p(o(h)).\nAnswer: 15*h**4 + 270*h**3 + 1215*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m - 5 = 0. Let h = m + 8. Solve -1 = 4*c + 19, 4*f - h*c - 35 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 7\/6 (c) -0.1 (d) -2\/19 (e) 0.006\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {b: 3, h: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1595523 and -1595514 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -659, -715, -771, -827, -883?\n\"Answer: -56*o - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 9*f. Let a be n(-5). Suppose -a*t = -t - 20. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 75, 140, 233, 360, 527, 740, 1005?\n\"Answer: n**3 + 5*n**2 + 21*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5269*c + 135 = 5274*c + 5*o, 4*o = -5*c + 113 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -17*n**2. Let w(r) = 7*r**2 - 5*r - 5. Let k(a) = -6*a**2 + 4*a + 4. Let z(v) = -5*k(v) - 4*w(v). Determine o(z(g)).\nAnswer: -68*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/6989763 and -53\/33?\nAnswer: 6989763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 71. Suppose k + 2 = 1. Which is the biggest value? (a) v (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136053294.3us to weeks.\nAnswer: 0.00022495584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*f = 8, -j + 5*j - 14 = -2*f. Suppose 2*t + l - 8 = 0, t - 1 + 2 = -j*l. What is the highest common factor of t and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 15 = 8*z - 13*z, 5*x + 6 = 2*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 - 8*k + 16. Let v(r) = -3*r**2 + 3*r - 9. Determine 2*o(u) + 5*v(u).\nAnswer: -3*u**2 - u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 9*x + 35. Let w(i) = 7*i - 2. Let v(o) = -14*o + 3. Let h = 161 - 158. Calculate h*v(m) + x*w(m).\nAnswer: -7*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t - 6. Let b(q) = -q**2 - 16*q - 20. Let m be b(-14). Let h(r) = -r - 1. Give m*h(u) - a(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 517.\nAnswer: 1\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 57. Let f be (-9)\/(-6) - (-1)\/2. Suppose -3*y - 11 = 2*y + f*q, -2*y + x = -5*q. Is -2 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 8 - -1 - -1573. What is x rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15040 and 80.\nAnswer: 15040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(20)\/sqrt(5)))\/(sqrt(648)*-2 - sqrt(648)).\nAnswer: -sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1674124000 rounded to the nearest one million?\nAnswer: -1674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(75\/(-20))*((-9)\/294)\/(2\/7)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7570, -7571, -7572, -7573, -7574, -7575?\nAnswer: -7576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1305)\/(-27)*(7 - 1). Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -22 (c) 2 (d) 1.6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 7621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d)**(-35)*d**(-3\/2)*d*d\/((d**(-2\/3)*d)\/d) assuming d is positive.\nAnswer: d**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((6*-2*sqrt(112)*-5 - (2 + (sqrt(112) + sqrt(112) + sqrt(112) + 0)*-4)) + 5 + 5)**2.\nAnswer: -2322688 - 18432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 136*g**2 + 655*g + 70232. Give o(-135).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - -3.94. Let d = 5 - 4.8. What is the nearest to 1\/2 in 3\/2, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**2 + 154*x - 625. Determine t(4).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = -18. Let r(b) = 4 + 4*b - 2*b - b + p*b + 2*b**2. What is the remainder when 36 is divided by r(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(45*l - 52 + 34*l**2 - 15*l**2 + 51).\nAnswer: 57*l**2 + 135*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55245 + 55164 - 10*c**3 - 110409.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 13*m + 18. Let k(n) = -n**2 - n - 1. Let p(a) = -g(a) - 5*k(a). Is p(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 23*v - 12. Let g(q) = q**3 + 10*q**2 - q - 4. Let d be g(-10). Let k be (-5)\/50*4*85. Let u(h) = 4*h - 2. What is d*l(w) + k*u(w)?\nAnswer: 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1569*h - 4806 = 1747*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, x: 9}. What is prob of picking 1 n and 1 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -n - 3*x, 0*n + x = -3*n + 20. Suppose 0 = d + 4*d. Suppose 3*s - 4*z = n, 5*z = -3*s - d + 6. Solve 0*w - w - s = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39950 - 22611. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 37 = -3*a, 2*m = 2*a - 4*a + 2. Suppose 2*k = -0*k - 4*r + 22, k + r = 6. Sort k, 4, m in decreasing order.\nAnswer: m, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 3906 = 3036 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 - 2 = x, -4*b - 8 = 2*x. Let t be 2 - 2*(-22)\/(-8). Let z = t + 25\/6. What is the closest to -0.1 in x, 4\/9, z?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - m - 3*m = -44, 3*t = -m - 52. Let d be -3*4*3\/t. What is the highest common divisor of 6 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = o - 9, -75 = 4*o - 95 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 g when four letters picked without replacement from gdgsdsddsgs?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34581 (base 10) to base 16\nAnswer: 8715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 865\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, o: 1, y: 4, j: 2}. Give prob of picking 1 o, 1 q, and 2 y.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y - 2*u + 13650000, 4*y - 3*u = -10920000. What is y rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 177, 26, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5203600 divided by -5?\nAnswer: 1040720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2058 - 4702 - 7642 - 6608)*(3 - 3 + 4*i) as x + s*i and give s.\nAnswer: -84040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45937003\/241559415 + 2442\/20567. Let p = -1\/405 - y. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*z + 27 = 5*m, -4*z + 29 = 5*m. Sort 2, -1, m.\nAnswer: -1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1049*f**5 - 5714*f**3 + 14678417*f**2.\nAnswer: 62940*f**2 - 34284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 12*u - 6 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 6*g + 18. Let l be d(8). Sort 4, l, -8 in decreasing order.\nAnswer: 4, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51499.2 - 51499.1293313. Let f = z - 0.0707. Round f to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 7. Let q be k(3). Sort -4, -3, q in decreasing order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/15)\/3)\/(76\/(-19))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 44\/48 - 5 - 174\/(-1305).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 5*r**2 + 9*r - 5. Let o be c(6). Suppose -o*n = -8*n - 315. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10912 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poo when three letters picked without replacement from odxompdmxoop.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 3 = 4*k + w, -3*w + 10 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1026?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 4548*q + 6683136.\nAnswer: -3*(q - 2432)*(q + 916)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1134 divided by 1134\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2279 - 2321 + 9*o + 4600.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 459783*n**4 - 32*n**2 - 2*n - 16 wrt n?\nAnswer: 11034792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/6))\/(g**(-3\/7)\/g))\/(g**(-11))**(8\/11) assuming g is positive.\nAnswer: g**(431\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2. Let z(a) = 19*a - 1437522. What is z(j(r))?\nAnswer: 57*r**2 - 1437522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -8 - 7. Suppose 5*t = -25, -22 = -b + y*t - 2. Sort b, -6, -2 in increasing order.\nAnswer: -6, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.18 (b) -2 (c) 1\/48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -9\/2 - 3*n**3 - 57\/4*n + 57\/4*n**2 = 0. Calculate n.\nAnswer: -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, -8, -0.2, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 8.\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 98\/149809?\nAnswer: 98\/149809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14959 - -14958. Let q = -182 + 2365\/13. Which is the closest to s? (a) -1\/4 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) - (sqrt(91) + sqrt(91) + sqrt(91)*1)))*4)\/(sqrt(63)*-3) + (5*(sqrt(91)*-2 + sqrt(91)))\/(sqrt(28)*-3).\nAnswer: 23*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993575681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 11:47 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 113, 429, 955, 1691?\n\"Answer: 105*k**2 + k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 147*c**2 - 14*c - 4533. Let b(y) = -52*y**2 + 5*y + 1511. Determine 17*b(v) + 6*m(v).\nAnswer: -2*v**2 + v - 1511","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3507 and 104034.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((10\/(-12))\/((-2)\/12))\/1. Suppose 0 = 5*k + f - 2*f - 26, -5*k + t*f = -10. Let i(j) = -6 - k - 3*j - j**2 - j + 10. Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -272.605 + 272. Let v = -26.705 - y. Let w = v + 26. Which is the nearest to w? (a) 0.1 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6)*v*v**(-1\/2))\/(v**(-8)\/(((v**(-6)*v)\/v)\/v)))**(-35) assuming v is positive.\nAnswer: v**(245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4923?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 14 = 3*v, -2*a - 3*a = 3*v - 10. Suppose 23 = 4*y + 4*w - w, v*y = -2*w + 20. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:38 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -46827 > -44804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(2\/5)*v))**(1\/30))**(10\/7))**(4\/15) assuming v is positive.\nAnswer: v**(-4\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363477027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*p + 1395*p - 96019 = 27*p for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/105)\/(220\/25).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 4*y. Let q(c) = c**3 - c**2 - 7*c - 1. Let m be q(3). Let g be (4 - 7) + (3 - m). Sort g, 4\/3, y in increasing order.\nAnswer: y, 4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -503, -4200, -14307, -34028, -66567?\n\"Answer: -534*q**3 - q**2 + 44*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 666 + 1127. Suppose -f - z = -5*q, -5*q + 3*f + 1785 = -2*f. List the prime factors of q.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2722500.9684 + -2723520. Let q = 1019 + j. Round q to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/10 and -61\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let l(b) be the second derivative of 450*b**3 + b + 1395. Determine t(l(a)).\nAnswer: 14580000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, c: 1, q: 1}. What is prob of sequence qc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfe when three letters picked without replacement from cbefh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0 + 0)*(-3*j**2 - 3*j**2 + 5*j**2) + (4*j**2 - 2*j**2 - 4*j**2)*(2*j + 4 - 4).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68)\/(-6) - (-6)\/9. Let h = y - 8. Suppose 22 = 2*q + h. What is q rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94.2231l?\nAnswer: 94223.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -3, -7, -4, 1, 0 in descending order.\nAnswer: 4, 1, 0, -3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12998\/93 or -139?\nAnswer: -12998\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3724 is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in -20, 0, 0.5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d + 4 = 0. Let g = 263 - 261. Let f = g - d. Solve -5*r + i = -12 - 6, -2*i + 4 = f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 251834 and 22?\nAnswer: 251834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 13*l - 27. Calculate the remainder when a(7) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6586286, 6586258, 6586230, 6586202?\nAnswer: 6586174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (16 + -4 + -4 - (10 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80))**2 - (sqrt(225)\/sqrt(5))**2.\nAnswer: -8*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1769 - -1792. Solve -5*i = -b + 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 114*o. Let s(x) = 2595*x. Calculate s(n(m)).\nAnswer: -5190*m**2 - 295830*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j - 14*j - 26093*j**2.\nAnswer: -26093*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -113, -135, -159, -185?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*d + 5*t, -10*t = -8*t - 10. Suppose 4*s = 3*v - 58 - 18, -d*v = -3*s - 50. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -341 - -336. Put -7, -3\/5, o, -0.3 in increasing order.\nAnswer: -7, o, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 17. Suppose 8*w - s + 8 = 0. Solve -o - 4 = -w*c - 17, -5*c - 28 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299307.3 years in months?\nAnswer: 3591687.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9)*s)\/s**9)**50\/(s**(-8)*(s*((s*(s\/(s*s**(-1\/11)\/s*s))\/s)\/s)\/s*s)\/s)**11 assuming s is positive.\nAnswer: s**(-2818\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i*i**12)\/i)\/i)**(-19)\/(i**10)**17)**(-1\/18) assuming i is positive.\nAnswer: i**(199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4, -0.3, 1.125, 5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 1 + 3 + (4 + 0 - 2)*(-1 - 2 + 5) - 5 - 1 - 2)*(-3 - 2*c + 3).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -278 + 318. Let h = -107 - -127. Calculate the greatest common factor of x and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 34649.61?\nAnswer: -34649.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10427751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9456 divided by 150\nAnswer: -1576\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 0. Let u = j - 0.15. Let n be -25 + (0 - 1106\/(-42)). Which is bigger: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1441958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -56, -155, -324, -581, -944?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1 + 10*l - 5 - 5*l. Let y(t) = -6*t + 7. Let s(c) = -7*g(c) - 6*y(c). Let b(r) = -r**2 + 4*r**2 - r**2. What is b(s(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884019.7 centuries to millennia.\nAnswer: 88401.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 965183.3 milliseconds in seconds?\nAnswer: 965.1833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 6*n + 9. Let y(x) = x**2 + 9*x + 3. Let r be y(-9). Suppose 2*p = -f - 3, -2*f = -p - r*p - 34. What is the units digit of m(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-44)\/198).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303 (base 9) to base 10.\nAnswer: -975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/6 and 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - -35) + 996\/66.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgg when three letters picked without replacement from gllggg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 + 0*n**2 - n**4 + (1 - 3 + 3)*(-2697*n**3 + 2697*n**3 + 27*n**4) in the form i*n**4 + h*n**2 + d*n + b + t*n**3 and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42089400 rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -835 divided by 3182?\nAnswer: -835\/3182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159433 is divided by 2089.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82392 + 27181170*c**2 + 82392 - 27181174*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024485 rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211600 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -448*k - 248 + 1098 + 2734 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36347 is divided by 433.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 116.\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1523950099 to 4 decimal places.\nAnswer: 0.1524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -13*t + 215. Suppose -605 - 1672 = -t*i. What is the greatest common factor of 121 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680058 is divided by 629?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -21. Suppose -2*l + 8 = g*l. Solve -15 = l*v - 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 850, 1497, 2130, 2743, 3330, 3885, 4402?\n\"Answer: -s**3 - s**2 + 657*s + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 15 = 295. Solve -138*r**2 - 8 + 5*r**4 - 32*r**4 + a*r**3 + 56*r + 9*r**4 - 32*r**4 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82751*s**4 + 51913 wrt s.\nAnswer: 331004*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.523 + -0.223. Which is the closest to 1? (a) -4\/9 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43075527 divided by 3?\nAnswer: -14358509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by 82\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 36458036?\nAnswer: -36458033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(637) + (sqrt(637) - ((sqrt(637) - (sqrt(637) + 0)) + -2)) - sqrt(637))**2 + 3).\nAnswer: 28*sqrt(13) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26139360 divided by -426.\nAnswer: -61360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 + 9*x - 5. Let f be m(-5). Put 0.3, f, 0.44 in ascending order.\nAnswer: f, 0.3, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 0, 3, -7\/86 in ascending order.\nAnswer: -1, -7\/86, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttpttpptppppft. What is prob of picking 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 0. Suppose -4*l + 2 = 5*d, d - 5*l - 7 - 5 = g. Let a = -386\/5 + 78. Which is bigger: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 819450*p + 109. Let g be q(-18). Let b be 6 - (0 + g) - -3. Round b to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*-1*sqrt(76)*2)\/((sqrt(2304)*1)\/(sqrt(99)\/(sqrt(11)*-2))).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {t: 2, y: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -19. Let o be (-110)\/s - 5\/15. Let c(l) = 2*l + 35. Let a be c(5). What is the greatest common divisor of a and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x**2 + 14*x + 5. Let v be w(3). Let s = v + 106. Which is the second biggest value? (a) -1 (b) 3 (c) s (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:02 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + 5 + -20 + 14 + 1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 19*s - 5*b = -25, 0 = 3*s + 3*b - 15. Suppose -38*u + 33*u = s. Is u != -7\/116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/546 and 17\/12?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1986.692 - -1983. Let n = -0.008 + b. Suppose w = 3 - 8. What is the second biggest value in -1\/4, n, w, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*z + 17*z = 40*z - 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 169 = 2*l + 4*x, -5*x + 445 = 5*l. Calculate the remainder when l is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 - 1 - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 19*t + 33 + 218 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-2)\/sqrt(11))**2 - (-6*sqrt(304))**2.\nAnswer: -10868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*u**4 + 22951928*u**3*v + 146042699*u**2*v wrt u?\nAnswer: 120*u + 137711568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3706.1345 to the nearest ten.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831836.\nAnswer: 2, 7, 19, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -19. Let l be (-4)\/x - (-88)\/66. Solve r = l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 640071 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23275643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*t + 51, 4 - 8 = -4*t. Suppose x*w = 82728 - 20923. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - k + 0*k - 328 = 0, 492 = 3*d + 5*k. Let v = 821\/5 - d. Which is the closest to 1? (a) -0.3 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482121385 to the nearest integer?\nAnswer: 21957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5400 and 5400.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.8 (b) 315.11 (c) -1 (d) 1\/3 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:10 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 2. Let l = 6 - 8. Let q = l + 7. List the prime factors of s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 5:49 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 8*n = -6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 3*v**2 + 4*v**2 + (0*v + 3*v - v)*(3 + 2*v - 3) + 1 + v**2 - 1 + 45 - 98 + 3*v**2 + 49.\nAnswer: 11*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = -0*d, 0 = -4*h - d - 7. Let o = -0.48 - -0.18. Let s = 3314.5 - 3315. Which is the nearest to h? (a) o (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -35*k**2 + 33*k - 9. Let s(t) = 209*t**2 - 201*t + 58. Determine 13*j(n) + 2*s(n).\nAnswer: -37*n**2 + 27*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1758734929 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 934?\nAnswer: 29888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 3360*l**2 + 658316*l + 3376080.\nAnswer: 4*(l - 521)*(l - 324)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3 - 5. Let x be 3*4\/v - -2. Solve -x*o = 4*q + 23, -5*o + 12 - 27 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16.7 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/13 + 264*g**3\/13 + 9468*g**2\/13 + 49896*g\/13 + 71442\/13 = 0.\nAnswer: -63, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -56, -71, -80, -83, -80?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-415)\/7*36547\/26105.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5)\/y)**(-31))**(-2\/79)*(y*y**(-6)*y**(-4)*y*y)**(-35) assuming y is positive.\nAnswer: y**(96651\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*o**3 + 1844*o - 1844*o.\nAnswer: -112*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1217*c**3*z + 10*c**2*z - 29*c**2 wrt c.\nAnswer: -7302*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0701112198 to five decimal places.\nAnswer: 0.07011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -282 - -282. Suppose -11*c + 13*c - 612 = u. Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008))**2 - (sqrt(14)\/(sqrt(2)*-2))**2 - (3*(sqrt(14) + sqrt(224)))\/sqrt(2).\nAnswer: -15*sqrt(7) + 16121\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 351735657 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -80\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c50 (base 14) in base 12?\nAnswer: 22986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/20 and 39\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*a - 27, 3*a = 3 - 0. Suppose -5*h = -4*i - 12 + 48, -p*h = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -794, -6609, -22386, -53105, -103746, -179289, -284714, -425001?\n\"Answer: -830*u**3 - u**2 - 2*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(57\/(-74)) - 0) + 4\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240687871 to the power of 1\/3, to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/12103 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177857*c**3 + 112*c**2 + 6*c + 32?\nAnswer: -1067142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 32*d + 54*d**3 - 16*d**2 + 4*d**5 - 78*d**3 + 552*d**4 - 548*d**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 11*d**2 + 11*d + 13. Let i be s(-10). Suppose 2*m = h + i*m - 1, 0 = 3*h + m - 1. Solve -w - w = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(19) - sqrt(1216)*-2) + -3)*1)**2 + 2*(-3 + (sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76)*1)\/sqrt(4)))*4.\nAnswer: -376*sqrt(19) + 21976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:11 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 7) to base 8.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 14*x**2 + 4*x - 12. Give r(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 113 = -5*d, -6*g = -8*g - 8. Let y(n) = -10*n + 217. Let k be y(d). Solve -3*u + k = 4*h, 4*h = -u - u + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 364*o - 2514. Solve 0 = k - 3*z - 3, o*k + 6 = 9*k - 4*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008055967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 19 + 7 = 2*c, -4*p + 3*c - 49 = 0. What is the units digit of p\/(-5)*(0 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 4*f**2 + 2*f**2 + (2*f + 0 + 0)*(-4 + 4 + 2*f) + (1 - 4 + 2)*(3 - f**2 - 3) + 2*f**2 + 3*f**2 - f**2 - 6*f**2 + 5*f**2 - 2*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 - 3 = 4*n, i - 3*n + 2 = 0. Let j = -1.11 - -1. Let g = j + 4.11. Which is the biggest value? (a) g (b) i (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, s: 15}. Give prob of sequence ssss.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*r - 173, 0 = p - 2*r + 3*r - 37. Let s be 1 - 93\/p - -2. Is -1 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*j + 50 = 0, -5*m - 1542 = -4*j - 1459 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -75*a**2 + 62*a - 16. Let s(y) = 37*y**2 - 31*y + 7. Let r(c) = -4*g(c) - 9*s(c). Find the second derivative of r(z) wrt z.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28478 is divided by 154.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/15)\/n*n*n\/n**(-2\/7))\/(n**(-1\/4)\/n*n**5*n))\/((n**(-5)*n**(-2)*n)\/(n**(-1)*n)**(-1\/36)) assuming n is positive.\nAnswer: n**(1009\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16824*s**2 + 201892*s - 48 = 0 for s.\nAnswer: 1\/4206, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023506 is divided by 6920?\nAnswer: 6266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3 + o + 2 + 2*o**2 - 3*o - 3*o**2. Determine k(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-245323 + 245323 + 131*t)*(0 - 3 + 0) - 3*t - 64 + 64)*(-3*t**4 + 3*t**4 + 2*t**4).\nAnswer: -792*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.98 + 0.02. Let m = 4.7 - 5. Which is the nearest to -1\/2? (a) -0.2 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2760 or 2757?\nAnswer: 2760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-121 + 14*d + 121)*(-5*d**2 - 3*d**2 - 10*d**2)*(-4 + 3 + 0) as f + g*d**2 + w*d**3 + h*d and give w.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 4*c - 7. Let r = 39 - 21. Suppose -3*a + 0*a + r = 0. What is the remainder when p(a) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/38580435 and -8\/165?\nAnswer: 424384785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-197)\/(-2364) + 1\/4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l + 0*l**2 + 11\/4*l**4 + 0*l**3 - 10. Find the first derivative of y(d) wrt d.\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 + 299*w + 601. Calculate g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 322.5931 weeks?\nAnswer: 3251738.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-4\/3)*p**(1\/13)*p)**(-23) assuming p is positive.\nAnswer: p**(-3956\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixkpnkkk. What is prob of picking 1 n and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9115 + 1.9115. Let r be (3\/(-10))\/((-1)\/2). Sort r, -5, y, -0.4 in decreasing order.\nAnswer: y, r, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -0.1 (c) 19 (d) 2320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 + 3279*l - 5829. Determine m(654).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26121 divided by 1.\nAnswer: -26121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 6*a**3 - 137030 + 45667 - 2*a + 45681 + 45682.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247037696*f**3*k + 964481*f**2*k + 22*f**2 wrt f.\nAnswer: -1482226176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + l - 13, k - l + 301 = 303 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (101 + 0)*-3*2\/6. Let f = 103 + l. Solve 0 + 0*y**f + 2\/11*y**3 + 0*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((384\/12)\/(-320)*30\/(-22)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4271777543?\nAnswer: 11, 19, 1609, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)*l*l**6 assuming l is positive.\nAnswer: l**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 13*f + 12 = 0. Let t(o) = 244*o - 17. Let w be t(f). Let h = -728 + w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 29. Let p = q + 124. Calculate the remainder when 107 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*3*sqrt(78))\/((sqrt(486)*3)\/sqrt(9) + sqrt(54)) + -1.\nAnswer: -15*sqrt(13)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 39330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.022656 + -372\nAnswer: -372.022656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (2 + (3 - 9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**3 + 2*n**2 - 2*n**2 - 12*n**3 - 15 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-5))\/(y**1*y)*y**(-9)*(y\/(y*y\/(y*y\/(y*y*y**(2\/9)*y)*y)*y))\/y assuming y is positive.\nAnswer: y**(-164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/41, -0.1, -4, 2535, -38, 4, -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 2464.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16485 - -80618. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/14 + -20\/21. Which is the third biggest value? (a) i (b) 3\/4 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557894945 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27317 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 191540735 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:07 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 10*n - 66 - 34 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence add when three letters picked without replacement from dddaaddddd.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(0 - (-3 - -5)). Suppose l*s = 49 + 5. Is (-290)\/(-2 + 0) - s\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - b + 2 + 0)*(-51 - 44 + 86)*(-2 - 2 - 3) in the form n + c*b and give c.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - u = 2*u + 45, 5*j + 129 = 5*u + 4*u for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112.4 - -9.6. Let a = -122.00107 + y. Round a to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-4 + sqrt(187))*3 - (sqrt(187) + sqrt(187)*-2)*4)\/(3*sqrt(121)\/(sqrt(11) + sqrt(11) + (sqrt(11)*4*5 - sqrt(11)))).\nAnswer: -35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 25579032*i.\nAnswer: -4*i*(i + 6394758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z. Let l = -1 + 6. Let x(c) = -4*c + l*c - 5*c + 2*c. What is x(d(g))?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 181280.\nAnswer: 1\/181280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 14. Let c = -2 - j. Let u = -215 + 220. What is the closest to c in 4, u, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 3*d**2 - 2*d - 2. Let q be l(3). Let p(o) = o**3 + 8*o**2 - 2*o - 4. Calculate the remainder when 33 is divided by p(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.775 - 1674?\nAnswer: -1674.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + -3 + (sqrt(7) + sqrt(14)\/(sqrt(2)*1))*-3).\nAnswer: 18 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45259 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 5*l**2 - 5*l + 4. Suppose -6 = -t - 2. Let b be c(t). Solve 4*u - u - 9 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/50*-18 - (-200)\/(-250)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*b - 2 = 0, 2 = 5*c - 2226*b - 2229*b + 4456*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 12:22 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 2, -2, -26 in descending order.\nAnswer: 4, 2, -2, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-36)\/(-27) - (-6 - 100\/(-15))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617895 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 861013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 8*r**2 - 15*r + 8. Suppose -39 = -34*x + 30*x + 3*t, 5*x + 4*t - 10 = 0. Determine h(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 22 = 34. Solve 2*s = -s + y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005396767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1791 = -0*a. Suppose 4*c = -89 + a. Let y = -90 + c. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757372737.\nAnswer: 3, 11, 19, 73, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8912497 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.72021 litres to millilitres.\nAnswer: 58720.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0159162 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/23652 and 143\/54.\nAnswer: 23652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 minus 2411?\nAnswer: -2407.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -519 - -534. Suppose -5*x = 21 - 136. Let s = x + -20. Calculate the least common multiple of r and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:14 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - -6) + -10 + 2 - -30?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 22*u**2 + 3. Let x(d) = -44*d**2 - 7. Calculate 6*x(f) + 14*y(f).\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 577425 = r, -5*x - 4*r + 666456 + 2220671 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*k**3 + 37*k + 0 - 19*k**2.\nAnswer: k*(k - 74)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:12 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 507*z - 547 + 14 = 0. Which is the second smallest value? (a) -5 (b) z (c) 20\/7 (d) 0.4 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 26*b**2\/3 - 5069*b.\nAnswer: b*(b - 137)*(b + 111)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-4)*f)**(-6)*f**(-3)\/f**(-5))**(-33))**(-6) assuming f is positive.\nAnswer: f**3960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 66*k**2 - 7\/2*k**6 - 24*k - 19 + 48\/5*k**5 - 62*k**3 + 51\/4*k**4. Suppose r(n) = 0. What is n?\nAnswer: -2, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418645.5 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-2)\/(4\/6). Let v be 2\/6*m + 1. Solve -c + 4 = -x, -c - 3*x + 0 - 12 = v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0) + -1 + (-4)\/(-1). Suppose -d*h - 99 = -0. What are the prime factors of 10*((-44)\/h)\/((-1)\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 + 45 = 0. Let v(u) = 11*u**2 - 3 + 4*u + 3*u - y*u**2. Determine v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4*m + m, 3*m = -5*k + 10. Suppose 216 = k*b - 474. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z**(2\/21))**10\/((z*z*z**(-3)*z)\/z*z**(-4\/5)\/z*(z**1)**(-7\/4)) assuming z is positive.\nAnswer: z**(-1889\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(24))\/sqrt(2) + 3.\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71575 - 59388 - 14720 = -4125*c - 34308 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39889\/15 - 7988\/3. Sort y, -2\/13, -0.04, 1\/8 in descending order.\nAnswer: 1\/8, -0.04, -2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 411407321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + y + 1. Let s(o) = 5*o + 5. Let z(c) = -5*h(c) + s(c). Let j(r) be the first derivative of 0*r + 5\/2*r**2 + 70. What is z(j(a))?\nAnswer: -125*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.00932 (b) 2044\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 11583405.77278 and 0.3.\nAnswer: 11583406.07278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from {h: 5, a: 2, i: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Factor 13*s**3 - 24*s**2 + 20 + 9*s**y + 4*s**4 - 8*s**3 + 2*s**3 - 16*s.\nAnswer: 4*(s - 1)**2*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 1 + 76292*l.\nAnswer: 76292*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-1) - -3 - -10. Suppose 2*r - 18 = 4*r. Let w = z + r. What is the nearest to -2\/13 in -5, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**2 - 6*p. Let w(d) = 4*d**2 - 5*d. Let z(i) = 6*k(i) - 13*w(i). Let q(y) = -y. Give z(q(j)).\nAnswer: -4*j**2 - 29*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/7 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2223486, 4.\nAnswer: -29, 4, 2223486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -62143815 divided by -14835?\nAnswer: 4189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 857613381 and 2588?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 7}. Give prob of picking 2 a and 1 r.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5164*x + 53. Is i(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x + 5*x - 31*x)*(-5*x + 3*x + 3*x) - 9*x**2 + 3*x**2 - 5*x**2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 1 - (16 + (-43 - -20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/1584*-224*(-6)\/(-105).\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 33*a**2 + 115*a - 6678. What is n(29)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**(-46)\/((c**(5\/7)\/c)\/c**(-4\/7)) assuming c is positive.\nAnswer: c**(964\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5697428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4129696789.\nAnswer: 83, 49755383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 21, 31, 43, 57, 73, 91?\n\"Answer: j**2 + 5*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 995, 8, 4, 1, 2 in descending order.\nAnswer: 995, 8, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o + 2. Let x = -106 - -117. Let k(l) = 0*l + x*l - 5*l - 4*l. What is k(n(i))?\nAnswer: 16*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2)*(11 + 16 - 5)*(-6*f**4 - 4*f**4 - f**3 - f**3).\nAnswer: -440*f**4 - 88*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 47, -6, 2\/47?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/60 + 5*s**4\/6 - 127*s**3\/6 + 717*s**2. Give u(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 1036 = 19*u + 41*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139399, 139379, 139357, 139333, 139307, 139279?\nAnswer: 139249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 10. Let o(t) = -2*t - 5. Let f(v) = 9*o(v) - 4*s(v). Let l(p) = -2*p**2 + 48*p - 93. Let g be l(22). What is f(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-9))\/(2\/(-6)*-2). Let w(o) = o - 1. Let l(r) = -3*r + 4. Let m(j) = z*l(j) - 4*w(j). Let s(x) = -6*x + 3*x - 4*x. Give s(m(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55693?\nAnswer: 11, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*i - 55*i - 140 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffiggillg. Give prob of picking 1 f, 1 i, and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 - (-2 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-4 - 1) + 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -671 (base 10) in base 11?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3747*t**4 + 2612*t**4 - 7968*t**4 + (4 - 4 + 4*t)*(3*t**2 - 3*t**2 - 2*t**3).\nAnswer: -1617*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58863 (base 12) in base 6?\nAnswer: 2313403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.27311ng to grams.\nAnswer: 0.00000006027311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 121, 181, 243, 307, 373?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 3 = -6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 185, -5\/3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 89 = 3*n - 0*t, 0 = -4*n - 3*t + 167. Let k = 37 - n. Let u be 29 + (4 + k)*-1. What is the greatest common factor of u and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:15 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -22) + (-53 - -69).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*i**2*y + 2*g**3*i**2 + g**3*i*y + 54*g**3 + 9*g**2*i - 13847*i**2*y + y wrt i.\nAnswer: 2*g**3*y + 4*g**3 - 27694*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.98 rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 112*y - 38 - 35*y - 58*y. Is 20 a factor of i(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 77, 299, 669, 1187, 1853, 2667?\n\"Answer: 74*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/318537 or 38\/17?\nAnswer: -4\/318537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*y - 1154755 - 52157 = 0. List the prime factors of y.\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 + 0*k**3 + 1243*k**2 + 4*k**3 - 1237*k**2.\nAnswer: -3*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*412336\nAnswer: 1237008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 46\/14 - 12\/42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -11\/3. Let p = 7090.5 - 7091. Which is the third biggest value? (a) -0.02 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315315 by 315.\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 0*f + 1\/3*f**3 + 1 - f**2. Is 5 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a milligram in micrograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + 0*c + 0*c + (0*c - 3*c**3 - 5*c + 2*c)*(0 - 1 - 2).\nAnswer: 11*c**3 + 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t - 8. Let b be s(0). Let l = b - -12. Suppose -3*i + 282 = 2*d + 3*d, 341 = l*i - 5*d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - n + 16, 2 = -4*n - 2. Suppose 15*q - p*q + 6 = 0. Suppose 2*l + 21 = 3*w - 3, -q*w = 4*l - 24. Solve 5*i - w*i = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 16. Let d(i) = -i**3 - 3*i**2 - 2*i. Let q be d(-3). Solve z*u - q = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1186, 5, 3, 74 in descending order.\nAnswer: 74, 5, 3, -1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84850?\nAnswer: 2, 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 4*z. Let s(v) = -v + 3. Let l be s(z). Suppose 0*h + 3*h = l. Solve -3*c + 5 = k, -k - 2*c + 1 = -h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12215*z - 12219*z + 9288 = 0. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2831.501ml?\nAnswer: 2.831501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(13)*1 - sqrt(13)) + 1) + (2*sqrt(156))\/sqrt(12)*3 + 3*((-1 + sqrt(1573))*4 + 2)**2.\nAnswer: -522*sqrt(13) + 75519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 7. Let s be y(-7). Suppose -5*l + 2 + 3 = s. Let b be 4*l*(5 - 4). Solve p = -p - b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/4193? (a) -0.5 (b) 5 (c) 0.3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o - 28 = 0. Let y = o - 55\/4. Determine z, given that 1\/4*z - 1\/4*z**3 + y - 1\/4*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 3*f**2 - 2*f + 3. Calculate d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*o**4 - 5948*o**3 - 17520*o**2.\nAnswer: -4*o**2*(o + 3)*(9*o + 1460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005945305 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6479 = 3*p - 2*k, -12*p + 9*p + 6484 = -k. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157112623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 5) + (2 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1285 divided by -3\nAnswer: 1285\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -2*i**2 + 5\/24*i**4 - 1\/120*i**6 + 0*i - 1\/30*i**5 + 0 - 1\/6*i**3. Calculate the remainder when 19 is divided by g(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 292762789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0.5, 0.104?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10430 - -10433. What is the remainder when 30 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -27*f - 1. Is q(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 3028110.\nAnswer: -242248.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 49 = -259 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8. Suppose l + 2*l - 105 = c. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlrllrrrllrll. Give prob of sequence lll.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 1. Let x = 41 - 18. Let v be (-177)\/9 - 8\/(-12). Let h = x + v. Let q(i) = 4*i**2 + 2. Determine h*q(m) + 9*k(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9138 + 16)*((-4)\/(-6))\/((-52)\/429) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 875*f**2 + 2997?\nAnswer: 1750*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let z = -0.32 - -0.02. Let q(n) = -n**3 + 14*n**2 - 14*n + 14. Let m be q(13). What is the nearest to m in g, z, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233624682 divided by -6?\nAnswer: -38937447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 5. Let k(t) = -3. Let d = 933 + -938. Calculate d*k(g) + 3*p(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8573 + -848740\/99. Let s = w - -3952\/693. What is the common denominator of (5005\/14)\/11*7\/15 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 289 = f, 2*c + 82 = f + 268. What is the remainder when c is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 6918409\nAnswer: -276736.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 - 7*q**4 + q**4 + (q**2 + 0*q**2 + 3*q**2)*(q - q + q**2) + 3*q**4 + q**4 - 2*q**4 to the form k*q**4 + s*q**2 + j*q + x*q**3 + p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*s**3 - 200*s**3 + 859*s**3 - 172*s**3 - 218*s**3.\nAnswer: 47*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 14. Let m be (20\/(-3))\/(r\/(-36)). Suppose -3*l + m - 9 = 0. What is the least common multiple of 9 and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 4*g + 6. Let k be p(3). Calculate the least common multiple of 28 + 3 - (0 + k) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/33 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 2*x - 111, -4*z + 248 = 2*x + 158 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2800, 5613, 8426, 11239, 14052, 16865?\nAnswer: 19678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*q**2 + 3*q**2 - 131*q**2)*(0 + 0 - 2)*(q - 4 + 4) to the form u*q + i*q**2 + d + g*q**3 and give g.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(9*(-3)\/(-162)*44\/(-11))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 5:17 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91*b - 2 + 48*b + 560*b)*(-65 + 50 - 131) to f*b + t and give t.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/4 at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25106573 - 4?\nAnswer: 25106567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 44 = 140. Suppose 2*h - t = 116. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 13.07. Let l = -2.07 - a. Let x = l - -1.5. What is the second smallest value in x, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 1:57 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824329.\nAnswer: 13, 140333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67479 is divided by 136?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + j + j)*(-4*j**4 + 5*j**4 - 4*j**4) + 12*j**5 - 7*j**5 + 7*j**5 + (-3*j + j + j)*(2*j**4 - 3*j**4 + 2*j**4).\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-260)\/39)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -5, -0.065?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n. Calculate the remainder when 1\/2 - 46\/(-4) is divided by s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 401647.\nAnswer: -25\/401647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 4, w: 2, o: 4, p: 8}. Give prob of sequence wo.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/347914 and 113\/149106.\nAnswer: 1043742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*o = 10, 5*p - o = p + 2. Suppose p = -5*k + 3*s + 2*s + 1135, 4*k + 4*s - 876 = 0. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*b**3*r*z**3 - 14*b**3*r - 5*b**2*r*z**3 - 3*b**2*r*z**2 - 4*b**2*r*z + 2*b**2 wrt b?\nAnswer: -354*r*z**3 - 84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 35*o**2 + 15. Let m(i) = 5*i**2 + 2. Let s(c) = 15*m(c) - 2*u(c). Let n be s(-1). Let j(d) = -d**3 + 5*d**2 + 2*d - 7. Is j(n) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 + 1135*o**2 + 64969*o + 63845. Let r(h) = 70*h**3 + 15890*h**2 + 909565*h + 893830. Let l(u) = 6*r(u) - 85*y(u). Determine c so that l(c) = 0.\nAnswer: -113, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.03 (c) 4 (d) -10.15 (e) -7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f**2 - 11*f - 50. Give n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(2204\/(-8)) + (-1152)\/(-116)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*i**3 - i**4 + 43707*i - 7*i**2 + 3*i**2 - 2 + 0*i**4 - 43707*i in the form t*i**4 + z*i + y*i**3 + v + m*i**2 and give y.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198435553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28251 (base 13) to base 9\nAnswer: 124016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1313 and -45062.\nAnswer: -46375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117867 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pypcppcpppcnpcp. Give prob of sequence nppc.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17409127505797477.73999637 + 17409127576418685. Let j = -70621208 + h. Let b = j - -0.74. What is b rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*2\/(-70)*-45.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 66396, 65766, 64706, 63210, 61272, 58886, 56046?\n\"Answer: -q**3 - 209*q**2 + 4*q + 66602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 201231?\nAnswer: 201233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:49 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18407 to 3 decimal places.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let l = 24 - 21. Let k(d) = -3 + l - 298*d + 233*d. Determine k(j(i)).\nAnswer: 65*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19711 - 263.\nAnswer: -19974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Suppose 15 = 3*k - 3*t + 8*t, 5*t = 5*k + 15. Let l be s(k). Find the second derivative of -h + 0 + l*h - h**2 + 0 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*z**2 - 85*j**3 + 47*j**2*z**3 - z**2 wrt z.\nAnswer: 2*j**3*z + 141*j**2*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.5 rounded to zero decimal places?\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 2:13 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**4\/4 - 5*a**3\/3 + 4*a**2. Let t be (4*-1)\/(-5 - -6) - -16. List the prime factors of c(t).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, y: 3, o: 4}. What is prob of sequence ygy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355094 is divided by 952.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/221 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -5 (b) 5 (c) -463 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68109*t - 4*t**2 + 68109*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 times 415?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -6, 2, -3\/2 in descending order.\nAnswer: 2, -1\/8, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28844, 28789, 28644, 28367, 27916, 27249, 26324, 25099?\nAnswer: 23532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) -0.4 (c) 13 (d) -676\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 - 12*l + 10. Suppose -s - 5*v = -30, -4*s + s + 5*v = 10. Let u be 3*s\/5 - -5. What is the tens digit of j(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 6*m**2 + 6*m - 6. Let l(o) = -3*o**3 - 17*o**2 + 17*o - 17. What is 6*l(g) - 17*s(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -26*f + 252. Suppose 0 = -4*m - b - 103, -2*m - 26 = -3*b + 15. Let i be c(m). What is the highest common divisor of i and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/6 + (-10)\/(-15). Let p be -2 - i\/(1 - 2). Solve 3*d + p = -5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (67 - 61)*(-2)\/16*(-8)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -5. Solve -z = 3*z + p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66994 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101001936 divided by -33667312\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 346, 347, 348, 349?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (17 - (8 - 49)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 79. Let h be -2 - -2 - (2 - 1). Let m = 0 + -2. Which is the nearest to h? (a) m (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)\/u)\/u*u)**(1\/32)\/(u*u**1)**(-33) assuming u is positive.\nAnswer: u**(8445\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - 335\/(-105). Let d = 17\/7 - y. Let t = 54 - 55. Which is the closest to t? (a) d (b) -4 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 3, i: 3, o: 1, l: 6}. What is prob of picking 1 m and 2 i?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -14*i - 1. Let d be j(-1). Let o be ((-52)\/(-3))\/((-42)\/(-63)). What is the greatest common divisor of o and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*-0.0151.\nAnswer: -0.02718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4932 - 4927. Let w(n) = -7*n + 2. Let d(p) = 14*p - 4. Give h*w(a) + 2*d(a).\nAnswer: -7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -683403 - -586359685\/858. Find the common denominator of 131\/390 and u.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (1 - 2))\/2. What is the units digit of 435\/y - 6\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i - 16, -h + 10 = -3*i. Suppose w = -w + 8. Let b be 8\/w*(-3)\/2. Is h at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 273*r + 520. Is p(32) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30826, 61494, 92164, 122836?\nAnswer: 153510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -251a?\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7665.174 to the nearest 100.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {w: 2, i: 7, h: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*1 + -3.\nAnswer: -3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 39853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47\/2*o**2 - 2*o**3 + 3\/2*o**4 - 22*o + 10.\nAnswer: (o - 5)*(o + 2)**2*(3*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 61 + 153 - 3*t + 65 + 111.\nAnswer: -3*t + 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - 2*n**2 + 5*n**2)*(-2*n + 0 + 0) + (-n**2 + 3*n**2 + 0*n**2)*(-85*n + 375*n + 391*n).\nAnswer: 1366*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 12:04 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, 18, 68, 138, 222, 314, 408?\n\"Answer: -y**3 + 19*y**2 - 26*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 2*i + 5*n, -2*i + 1550 = -2*n + 1490 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 49. What is the remainder when 95 is divided by u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*d - 56 - 26, d = 4*l - 65. Calculate the remainder when 63 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -19)\/(1887\/(-136) + 5 + 18\/2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/105 - (-296)\/(-30). Which is smaller: -9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28073 is divided by 14030?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.07 + 7.07502. Round r to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f. Let g(x) be the third derivative of x**4\/24 + 2*x**3\/3 - 2*x**2. Let j be g(f). Solve j*p - 5*o + 35 = -2*o, 5*p - 5*o = -50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49041.264 rounded to the nearest 1000?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(1 + 2*sqrt(272)).\nAnswer: -24*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 6*i**2 - i**2)*(4 - 5 + 3) + (-i - 2 + 2)*(-28*i + 86 - 86) as k*i + a + r*i**2 and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -112379 - 112379 - 21428*u + 224758 as d + r*u and give r.\nAnswer: -21428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -25\/6*b**4 + 0 + 0*b**3 + 4*b**2 - b. Determine w, given that o(w) = 0.\nAnswer: -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56061233*b**4 + 71195678 wrt b.\nAnswer: -224244932*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -8, -1942460 in increasing order.\nAnswer: -1942460, -8, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65890503 and 11.\nAnswer: -724795533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + ((sqrt(121) + -3*sqrt(121))*5 + sqrt(121) - sqrt(121)))\/(3*sqrt(1100) - sqrt(1100) - sqrt(1100)).\nAnswer: -9*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3a11 (base 14) in base 10?\nAnswer: -432783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -770588, -1541174, -2311746, -3082298, -3852824, -4623318, -5393774, -6164186?\n\"Answer: m**3 + m**2 - 770596*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 1. Let i be k(3). Let g be (-10)\/i*5\/25. Which is the biggest value? (a) g (b) 5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczzczzzzz. What is prob of picking 2 c?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 28.08695.\nAnswer: -14.043475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/3*4\/(60\/(-15))*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:36 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3 (c) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19244359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 12:12 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -26*z. Let i(f) = 6*f**2 + 1. Determine i(h(w)).\nAnswer: 4056*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24080, -24081, -24082, -24083?\nAnswer: -24084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 75.4. Let l = -42.4 + o. Let n = 36.4 + l. Put -4, n, 2 in decreasing order.\nAnswer: 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -433*a - 44859 + 44857 - 27*a to r*a + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 8. Let d be m(6). Let a(t) = -9*t**2 + 1. Let o be a(d). Let u = -21 - o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t + 52 = 4*h, h - 5*t = -11. Suppose 9 = -j + 2*i, -2*j - 3*j - 45 = i. What are the prime factors of 3\/h + (-42)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1437672 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1000 divided by 302.\nAnswer: 500\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c + 9. Let o(a) = -a**2 + 14*a - 10. Let n be o(12). Let p(i) = -13 + i + 3*i - n*i. Let x(b) = 7*m(b) + 5*p(b). What is x(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2006595 = -5*a - 0*a, -4*i + 1146620 = 4*a. What is i rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p**3. Let v be i(1). Sort v, 1, -1 in increasing order.\nAnswer: v, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfzmxmmmzjfmm. What is prob of sequence ffx?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 535411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.3757 - 8.4047. Let t = 92.982 - r. Let u = t - 28. What is u rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.68868027 to 4 decimal places.\nAnswer: -0.6887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.5, 3, 342, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/93267 and -18\/337.\nAnswer: 31430979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/50*-22 + 5\/(20\/152)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 5. Let z be m*2 + 14\/(-7). Let s be (-1 - (z + 1)) + 8. Solve -2*v = 0, 3*n + 9 = 3*v - s*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*t + 30526 = 44485 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 434300 divided by 202\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 806 and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 40*u**2 + 100*u + 110. What is the hundreds digit of d(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -1, 5215852 in increasing order.\nAnswer: -121, -1, 5215852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l - 27. Calculate q(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3. Suppose -2*n + 4*j = 25 - 1, -5*n - 42 = -j. Let g(q) = -3 + 12 - 1 + 0 + 3*q - 2*q. Give n*f(y) + 3*g(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-52)\/65)\/(-2)*3\/(-2))\/3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*t - 968 = -103*t. Let n(s) be the first derivative of 28 + 2\/15*s**3 + 0*s + 0*s**t - 2\/25*s**5 + 0*s**2. Factor n(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106589, -384638, -848053, -1496834, -2330981?\nAnswer: -3350494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137.92 - 1.92. Let x = k + -137. Let i = 6 - 4. Sort -12, x, i.\nAnswer: -12, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -132.544279 and -0.09516.\nAnswer: -132.639439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -44276 (base 10) to base 2\nAnswer: -1010110011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 204876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480659 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:11 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 19. Let a = 2 - n. Does 15 divide 271\/7 - a\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 - -556. What is the remainder when s is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 284689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = 3*z, -47*v = 5*z - 48*v + 24. Which is smaller: z or -36\/7?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose -2*n = -q*y - 17, 13 = n + 4*y - y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z + 3. Let g = -27 - -46. Suppose z*x - 31 = 5*f, 5*f - x = -3*x - g. Which is the second smallest value? (a) 0.1 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082 take away -154.2?\nAnswer: 154.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/5 + 2*r**3 + 16*r**2\/5 - 24*r\/5 = 0. Calculate r.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -944098, -1888196, -2832294?\n\"Answer: -944098*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8.1 (b) 2\/7 (c) 0.062 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 5. Let h be 1*7 + (-36)\/9. Determine q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15463, -0.3, -19\/3 in descending order.\nAnswer: 15463, -0.3, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/26 - ((-18)\/(-4))\/(-3). Solve -9 + 3 = p*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b1b98c + 11?\nAnswer: 8b1b9a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -377 + 720. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 845562 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-2 - -4 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let v(b) = -b**2 - 9*b + 48. Let p(h) = -3*h**3 + 2*h**2 + h + 1. Let x be p(2). Let d be v(x). Sort n, -15, d.\nAnswer: -15, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 464, 449, 430, 407, 380, 349, 314?\n\"Answer: -2*d**2 - 9*d + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 + -151. Calculate the highest common divisor of 279 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - (0 - -1) - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 2}. What is prob of sequence ii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6*g + 872. Suppose -n + 2*n = 3*x + 68, 0 = -3*n - 5*x + g. Let v = 70956 - 70947. Calculate the remainder when n is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2803 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -584174 + 6.\nAnswer: -584168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f + 308178551*f**2 + 35*f - 308178548*f**2 - 17*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40\/19 + -276\/95. Let g = -0.33 - -0.9. Let c = -0.17 + g. What is the biggest value in 0.3, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 14 - 5*k + 0*k**2 + 49\/3*k**3. What is the first derivative of q(f) wrt f?\nAnswer: 98*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(3 + -2)\/(-1). Suppose -2*s - 3*j + 27 = f, -s - 5*j + 29 = s. Solve -3*t + s = -6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 24*q - 4. Let t be b(11). Let z = t - -29. Find the second derivative of -5*i**5 - i + 2*i - z*i - 3*i**5 wrt i.\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -40. What is the tens digit of (944\/(-10))\/(2 + (-72)\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide (-1)\/4 + 14070638\/568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26\/3 (b) 1\/3 (c) -0.2 (d) 432 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4 + 11680*f**3 - 35014*f**2 - 46696*f = 0. What is f?\nAnswer: -1, 0, 4, 5837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/181908 and -101\/11798352.\nAnswer: 1923131376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*p + 4*p - 2, -4*p + 3 = -n. Suppose 0*v - v + n = 0. What is the greatest common factor of 9 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1394, 2, -135, 5 in descending order.\nAnswer: 5, 2, -1, -135, -1394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/14 - -33\/7. Let k = -1 - -4. Suppose 2 + k = -5*b. Are d and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 2\/263 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v. Let l(n) be the first derivative of -51*n**2\/2 - 91. Determine l(s(m)).\nAnswer: 357*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9195847 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: Suppose 5*k - 28 = -3. Let m = -11 + k. What is the lowest common multiple of 6 and (-12)\/(-10)*(-100)\/m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/22 - 5\/(-2). Sort 3, n, -4.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 4*o - 4*o)*(-4 + 2 + 3) + (-5*o - 5 + 5)*(-5*o + 5*o - 12*o).\nAnswer: 58*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 2 - 1*2. Let s(d) = 2*d**2 + 11*d - 5. Let z(w) = -2*w**2 - 12*w + 6. Let v(r) = 6*s(r) + 5*z(r). Calculate v(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r + 19*r + 10*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(5) + sqrt(80))*1 - (sqrt(245) - sqrt(245)*2) - sqrt(20)\/(-1*sqrt(576)))**2.\nAnswer: -105125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 0.86.\nAnswer: -0.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*5\/(-720))\/((-2)\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17337735, -34675507, -52013279?\n\"Answer: -17337772*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 7. Suppose 0 = 3*t + 5*v + 47, 5*v + 0*v - 25 = 5*t. What is the tens digit of a(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yye when three letters picked without replacement from {y: 7, e: 12}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2287808 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oddd when four letters picked without replacement from dppddopdddodp.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 7:31 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17*f + 848. Let c(h) = 4*h + 212. Let v(d) = 9*c(d) - 2*l(d). What is the hundreds digit of v(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-66))\/((-398)\/3582)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123475110 a multiple of 2090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 10, -32, -126, -290?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279 and 9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5 - 60*y**4 + 129*y**3 - 66*y**2.\nAnswer: -3*y**2*(y - 1)**2*(y + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 1 (b) 0.1 (c) -2\/5 (d) -1181 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 670374171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w - 16 = 67*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25314838 to the nearest integer?\nAnswer: 5031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -6 - (-30 + 23). Suppose 5*x - 3835 = -o*f, 1528 = 4*x - 2*x + 2*f. List the prime factors of x.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5723 and 1067.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*g + 5, -3*p + 15 = -2*g - 2*g. Suppose 0*w - p*w - 15 = 5*l, 15 = 5*w - l. Solve -2*y + 4*y - 16 = 5*v, -w*v + 4*y = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 14*h - 2. Let t be g(4). Let a = t + 207. What is the remainder when a is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 17*c + 8. Let l(d) = 3 - 6 + 0 + c + 131*d**2. List the prime factors of l(1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*x + 32 = 6*x, -2*n - 2*x + 34 = 0. Suppose n = 5*t - 2*t. Let l(y) = 0*y**2 - 2*y - 4 - 3*y**2 - t*y + 2*y**2. Give l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*u - 3*z + 196, 8 = -4*z. Let c be (u\/77)\/((-2)\/14). Sort c, 0, 1 in decreasing order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/660 and 77\/600.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10538 and 2411134.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2914 from -0.00341722691.\nAnswer: 2913.99658277309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -1 - 31. Let b = 30 - m. Let k(w) = -1885*w - 9404. Let n be k(-5). What is the greatest common divisor of b and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 15*v**3 - 7*v**2 + 15*v - 30. Let f(q) = -14*q**3 + 8*q**2 - 14*q + 36. Give 5*f(w) + 6*j(w).\nAnswer: 20*w**3 - 2*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-2)\/6). What are the prime factors of (j - 0)*(-7)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -85439, -85421, -85377, -85295, -85163?\n\"Answer: 2*u**3 + u**2 + u - 85443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -55, -172, -347, -580, -871?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.8 (b) 17 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 180*s + 2572 = 7031 + 2516 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 22 - 9*w - 10*w + 4*w - 15*w as p*w + k and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8675623*n**2 - 5*n - 638725034?\nAnswer: -17351246*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5572.\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 11 (b) 0 (c) -3 (d) -147843\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(40)\/sqrt(8)) + -4.\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -667.3 + 667.328824. Round g to 4 decimal places.\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 14. Calculate the remainder when 55 is divided by -14*(d - 3)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409532?\nAnswer: 2, 43, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 2*c - 4. Let b be j(-4). Let f be 260\/50 - 12\/10. Suppose 0 = -d + 1, -f*y = -0*y - b*d - 320. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29883?\nAnswer: 3, 7, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/87 (b) 5 (c) 24 (d) 1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-2 - (-4 - -1)) + (30 - 17))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13172 or -12216?\nAnswer: -12216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + c + 59*c**2 - 40*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*w - 11 = -30, 4 = w. Let c be -2 + (3 - 2)*o. What is the units digit of 3\/1*(-4)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+-1302.87387084\nAnswer: -1297.87387084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let x(o) = -253*o**2 - 55. Let w be 1\/(27\/12 - 2). Let s(i) = 14*i**2 + w - 2*i + 2*i - 1. Let d(l) = -55*s(l) - 3*x(l). Determine z(d(r)).\nAnswer: 121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 3*r, 0 = -0*r + r + 2*w - 13. Let y = 12 - 12. Suppose 3*d + d - 8 = y. Solve 2*t - d*m - 4 = 0, -r*m - 21 = -6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288 = 4*h + 36*h + 39*h - 10009 for h.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-24))\/(18\/24)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*s - 39*s - 128 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = -3*d. Suppose d*j = 3*j + 55. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109.319 * -0.045\nAnswer: -4.919355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/6 + 7\/(-14). What is the nearest to -1\/4 in 0.4, i, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4690, -5028, -5366?\nAnswer: -5704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 != 1622\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 3*o + 3*o - 40*o**3.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**7\/70 - 11*v**6\/40 + 39*v**5\/20 - 41*v**4\/8 + 7*v**3 + 585*v**2. Find d such that h(d) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-three fifths of a kilometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrct when four letters picked without replacement from {c: 1, r: 1, x: 2, p: 4, t: 8}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091 - 1383 = 89*i - 3941 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569676 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70506?\nAnswer: 2, 3, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -913.77 take away -0.6?\nAnswer: -913.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14619256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22\/15 + 13\/10. Let j = -16 - -14.4. Let v = -0.4 + j. Is v equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-18))\/(-16*7\/1008)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2522*l + 12. Let g be o(-4). What is g rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**8\/20160 + n**5\/3 + 27*n**2. Let z(y) be the third derivative of d(y). Let k(s) = -3*s**2 - 3. Determine k(z(c)).\nAnswer: -3*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -161, -330, -559, -848, -1197?\n\"Answer: -30*v**2 - 19*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4377483 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.33 + 0.23. Let t = 6 + -6. What is the closest to t in -0.3, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4542149*q**4 - 42376986 wrt q?\nAnswer: 18168596*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 - -1.7. Let y = j - 2. Let n = 3.93 - -0.07. What is the second biggest value in y, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(3*s**3 + 3*s**3 - s**3) + (-3*s + s + 0*s)*(0*s + 0*s + 2*s**2).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/75 and -32\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -223453*x**3 + 8645*x**2 + x.\nAnswer: -1340718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2\/(-1149))*(6 - (-1680)\/(-36)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o = 2*d - 8, -d - 2*o + 3 = 0. Suppose -d*n - 5*v + 55 = 0, -5*v + 4 = 3*n - 23. Let k = 37 + n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 145*j**2 - 1506*j + 330. Calculate c(60).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 3*p + 12. Let s(a) = a**2 + 2*a + 5. What is -4*h(u) + 10*s(u)?\nAnswer: -2*u**2 + 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 1548820*n - 119942169620.\nAnswer: -5*(n - 154882)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -349, -517, -685, -859, -1045?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 5*v**2 + 2*v + 5. Let m be h(4). Let i(f) = f**2 - 2*f + 3. Let o be i(m). Let s = -12 + o. Calculate the highest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 155\/(-124) - 20403\/4. Let g = p + 137818\/27. Find the common denominator of g and 91\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**3 - 6*b**2 + 4*b - 18. Let i(y) = -y**3 + y**2 - y + 1. Give -6*i(q) - n(q).\nAnswer: -q**3 + 2*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -7. Let h be (-2)\/(-3) - (-12)\/9. What is the nearest to 5 in l, h, -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -46?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*i**4*p + 242*i**4 + 9*i**2 - 1677*p wrt i.\nAnswer: 1320*i*p + 5808*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -11 - 34 - (8 + -13 + 14).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -2*j - 3*j. Let v = j - -36. What is the remainder when 31 is divided by (-3)\/6*v*-2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/77*(-1)\/1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 0*m**3 - 29*m**2 + 687*m**2.\nAnswer: 2*m**3 + 658*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 4. Suppose -3*f - o - 18 = -0*o, f - 4*o + 6 = 0. Give h(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 1.2. Which is the closest to 0? (a) 4 (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 12 - 6)*(2 - 2*h + h + 2*h + (-2 + 0 + 1)*(-5 + 2*h + 5) + 0*h - 2*h + 0*h) in the form u + f*h and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-30)*(6*-1)\/(-3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -964, -1926, -2888, -3850, -4812?\nAnswer: -5774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 5, 4, 62.\nAnswer: -5\/4, 4, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2907 minus 0.22?\nAnswer: -2907.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*a - 4*c + 17, -c = 0. Suppose 3*j - 1109 = -3*v + 7*j, -4*v + a*j = -1480. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4427.5972 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 196721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Suppose 23*u = 18*u. Let r(v) be the second derivative of u*v**2 + 0 - v - 1\/6*v**4 + 0*v**3. Give r(g(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = p - 0*p - 2*w, -11 = 5*p + 2*w. Let y(j) = j**2 + 3*j - 4. What is the remainder when y(-8) is divided by (3 + 0)\/p*-13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = -2*v + 143. What are the prime factors of (457\/(-5))\/((-1 + 4)\/v)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381569921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4551, -4561, -4569, -4575, -4579, -4581?\n\"Answer: w**2 - 13*w - 4539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194 and 60.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x + 30 = 0. Let z(c) = -8*c + 9*c + 5*c - 7 + 0*c. Let i(y) = 5*y - 6. Let b(o) = x*z(o) + 7*i(o). Let q(k) = -5*k**2. Determine q(b(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 97*b. Let l = 116 + -114. Let h(o) = 2*o**2 - 11*o**l + 10*o**2. Determine m(h(r)).\nAnswer: 97*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 2*w - 1. Let q be z(1). Suppose 3*j + 2*v = 0, -q*j - 11 - 8 = -5*v. Let r = -1 + 0. Which is the closest to -1? (a) r (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q**2 + q)*(-3*q + q - q) + (-1 + 2*q + 4 + 416*q**2 - 411*q**2)*(-6*q + 1 - 1).\nAnswer: -36*q**3 - 12*q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -21*u**2 + 8*u - 6. Let z(v) = -4*v**2 + v - 1. What is -r(n) + 3*z(n)?\nAnswer: 9*n**2 - 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w + 245. Let x(s) = -27*s - 739. What is -7*p(i) - 2*x(i)?\nAnswer: -2*i - 237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.11. Which is the third biggest value? (a) s (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -787896 - -787879.00014. Let o = 37 - 20. Let y = p + o. Round y to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 - 5 = -5*a, 0 = 5*a - 5*t. Let q(y) = -y + 25*y**a + 0 - 22*y**2 - 2. Does 12 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-41)\/123 - (-10364)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 4. Let i be a(-6). Calculate the greatest common divisor of i and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 12053672*p - 24107328.\nAnswer: -4*(p + 2)*(p + 3013416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/3 + 2\/3*a**2 + 2\/3*a**3 - 8\/3*a = 0. Calculate a.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12519 and 301419.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 341294333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4723 + -4608. Solve b = 5*i + 100 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7581419.1.\nAnswer: 7581424.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-15) + 1\/5. Let h = 0.06 + -4.06. Which is the second biggest value? (a) x (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 382?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 + 8*r - 1. Let j be -3 + 11 - (3 + 0). Suppose -3*h = 2 - j. Let t(k) = 1 - 23*k + 2 - h + 11*k**3 + 1. Calculate -17*b(n) - 6*t(n).\nAnswer: 2*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (30 + -90 - (-59 + 27)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71.3 + -51.2. Let g = -148.7 - m. Round g to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-690*(-13)\/1950\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-70))\/((-836)\/119 + (-10)\/85).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h = 16*h. Let w(k) be the third derivative of -5*k**2 + 25\/12*k**3 + 0*k + 5\/24*k**4 + h + 1\/120*k**5. Factor w(c).\nAnswer: (c + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 74*y = -78*y - 12, 0 = -5*k + 2*y + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29122261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1597952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3\/11 + 8318*p**2\/11 + 41632*p\/11 + 33312\/11 = 0.\nAnswer: -4, -1, 4164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3261*s**2 + 792*s**2 + 2471*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -13*w + 26. Let o be p(-8). Suppose -3*l - 423 = -3*c, 5*l - 5 = c - o. Let t = -4639\/32 + c. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296 times -114\nAnswer: 33744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (213\/(-142))\/((-6)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34515985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w + 25. Let p(x) = -3*x + 17. Suppose -85*h + 78*h + 35 = 0. Determine h*c(r) - 7*p(r).\nAnswer: r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 26. Let t(p) = -16905 + 3*p + 33770 - 16892 - p. What is -6*h(k) + 5*t(k)?\nAnswer: -2*k + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 913 + -909. Sort x, -16, 1 in descending order.\nAnswer: x, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-6 - (3 + -18)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 5. Suppose -4*s = -2*s - p. Let h(d) = 3*d**3 - 3*d. Let c(l) = 2*l**3 - l. Let g(j) = s*c(j) - 2*h(j). Find the second derivative of g(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose -2*y + 10 = 0, j = 5*w + 3*y - 31 + 11. Let f(b) = -6*b**2 - 1. Determine f(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 11295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 u, and 1 h when four letters picked without replacement from {o: 1, e: 3, k: 2, u: 3, c: 2, h: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -10000?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-2))\/(3\/(-4) + 0). Let w = 8 + y. Suppose 5*v = 2*i + w - 0, -3 = 3*i - 4*v. Which is bigger: 2\/11 or i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -564084349*k**2 + 205757172*k wrt k.\nAnswer: -1128168698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 21. Let t be (-10)\/(-45) - 14902\/l. Suppose -5*m + t = 11. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -527244165?\nAnswer: -527244170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 14994, 19 in descending order.\nAnswer: 14994, 19, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 - 0.89. Let d = 1 + s. Which is the closest to 0.1? (a) d (b) 0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1824 and 187\/91200.\nAnswer: 91200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*a = -9, 4*k + k + 4*a - 13 = 0. Sort 3, k, -2 in increasing order.\nAnswer: -2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81750189, -81750188, -81750187, -81750186, -81750185?\nAnswer: -81750184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8530280 + 8530280 + 32*g**2.\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -75. Suppose -17 = -3*s + 2*i - 3*i, 0 = 4*s + j*i - 30. Solve -6*l = -s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13, 0.09, -0.2, 0.3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2591, -3109, -3627, -4145?\nAnswer: -4663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:32 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -42745.05423 to the nearest 10.\nAnswer: -42750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1554545*u - 9327272. Determine c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000415 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/((-175)\/230)*(-9 + 14). Which is smaller: p or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-15 + 11 - 41) - 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 9569*a\/2.\nAnswer: -a*(a - 19138)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 6b1?\nAnswer: -6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 7) + (0 - 4). Let g be (-1)\/((-5)\/320) + 1. Let q = g + m. What is the highest common divisor of 18 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - n = -102, 0*o - 96 = -o + 2*n. Suppose 120 = 22*h - o. Solve x = 2*l - 2, l + 4*x + 0*x = h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (14 - (-992)\/24)\/((-2)\/(-3)).\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-55)*10\/4.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22850 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 10*o**3\/3 + 8*o**2\/5 - 5367. Factor s(w).\nAnswer: 2*w*(25*w + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 72. What is the remainder when 39 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10296, 10310, 10340, 10392, 10472?\nAnswer: 10586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (27 - (15 + -5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/8)*t*t**(-8))\/(t**(2\/3)*t*t\/(t\/t**(2\/25))))**(15\/8) assuming t is positive.\nAnswer: t**(-5323\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23553 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/28 - 4\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1677918, -3355818, -5033718, -6711618?\n\"Answer: -1677900*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/628350 and 73\/1885050.\nAnswer: 1885050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 9*n + 6. Let q be r(-4). Let t = 9 + q. Which is the nearest to -2\/3? (a) t (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -114. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 454930 + -454976.24266. Let o = g + 57.7436. Let m = 11.5 - o. Round m to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 + 48*g**2 + 66*g + 26. Determine x(18).\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -84. Suppose i + 3 = -3*i + 3*j, q*i + 9 = 3*j. Is 101 + ((-11)\/i - (-4)\/6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1033000241 - 23?\nAnswer: -1033000314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a7249 (base 11) in base 6?\nAnswer: 3202154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235078473*j**4 - 38*j - 2708679.\nAnswer: -2820941676*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 33*q = -32. Suppose -2*u - 2*u + 8 = 0. Suppose -102 = -u*n + q. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4022 (base 8) in base 4?\nAnswer: -200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -34.5.\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -26*s**3 - 39*s**2 + 7. Let p(r) = -25*r**3 - 38*r**2 + 6. Determine -7*p(w) + 6*x(w).\nAnswer: 19*w**3 + 32*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-160)\/50*(-57)\/76. Let r(g) be the first derivative of f*g**2 - 15 + 144\/5*g + 1\/15*g**3. Determine y so that r(y) = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 15*f + 5*f - 8*f in the form w*f + q + k*f**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2266121\/64 + 35408. Find the common denominator of -25\/24 and x.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -38. Let h(w) = -3*w**3 - w**2 + w. Calculate h(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19545 = 7*u - 9*u + 19585 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-j**5 + 4*j**5 - j**5) + 9*j**5 + 5*j**5 - 5*j**5 + 7*j**5 - 3*j**5 - 3*j**5.\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-6)*((-63)\/(-6))\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in 0.1, -4, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043752607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83084?\nAnswer: 2, 20771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 + 2*g + 2. Let s be ((-1780)\/(-9))\/(-10) - (-4)\/(-18). Let j = -27 - s. Let u = j + 9. Let w(f) = -f**2 + f + 1. Calculate u*w(o) - n(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926680.24 rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -19*m**3\/6 + 365*m**2\/2 + 179*m. What are the prime factors of r(-32)?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 103557*x - 103561*x - 27, 3*u + 4*x + 67 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:16 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -225. Let y = a - 196. Let i = -35 - -66. What is the remainder when i is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 1324*u**3 + 435507*u**2 + 1865840*u - 33948992.\nAnswer: (u - 664)**2*(u - 7)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20970049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 3 = -x, 4*b + 1509 = x + 1484 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2688, -19541, -65292, -154389, -301280, -520413, -826236, -1233197?\n\"Answer: -2408*q**3 - q**2 + 6*q - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 705*j**2 + 57 - 696*j**2 - 738*j**2 + 2143*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(567) + sqrt(567)*-1 - sqrt(567)).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-3\/7)*x)**(-9)\/(x\/(x*x**(-12))*x**(-4\/3)\/x) assuming x is positive.\nAnswer: x**(-689\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 - k + 26. Let s be l(0). Suppose 0 = 5*f - s - 14. Calculate the greatest common factor of f and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 46606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 + -2 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 483*m**2 + 1472*m - 2948. Calculate w(2).\nAnswer: 1928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61393, -245581, -552577, -982393, -1535041?\nAnswer: -2210533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1.52?\nAnswer: -6.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 + 14*i**3 + 4*i**3 - 2*i**3 - 28*i + 23*i**2. Let c(k) = 3*k**3 + 5*k**2 - 5*k. Give -28*c(t) + 5*l(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -6.\nAnswer: -6, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17157543577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2668507829 to 5 dps.\nAnswer: -0.26685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 884685 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*b - 7537 - 6670 + 3833 = 0 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10875?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*5\/(5\/(-16)). Let y(d) = d. Let c be y(3). Suppose 45 = 3*a - 0*a + c*n, -5*n - 85 = -5*a. What is the highest common divisor of a and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/9)\/(((-16)\/18)\/(-4)). Is 23 a factor of 1\/(-1)*b*115\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*g, -5*y + 5*g = -10*y. What is the closest to y in 4, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-7 + (2 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 - -169. What is the remainder when g is divided by (-70)\/98 + 2703\/119?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 975 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5208.108t in milligrams?\nAnswer: 5208108000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1325452 + 4?\nAnswer: -132544a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m - 2*m - 4*m + 3*m**5 wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {m: 1, d: 1, h: 1, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:35 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/((-119)\/28) + 5. Does 7 divide (60 - 59)*(0 - g)*-109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 + 189. Let q be (-12)\/9 - (-4 - (-4)\/h). Solve -4*u = -4*r - 36, -6*r + q*r - u = 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -3\/5 (c) 4\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -792613608*b**2 - 774418762?\nAnswer: -1585227216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2832.66 + 2866.1023. Round g to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 27 + 21 - 9 + 26 + 17*h. Is 14 a factor of a(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/5 + 74*c**3\/5 - 902*c**2\/5 + 726*c = 0.\nAnswer: 0, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 16*l + 4. Let x be d(-10). Suppose 49*z = x*z. Suppose -3*y - f = -y - 3, z = -4*f + 12. Which is smaller: y or 6\/23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1931792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15*b + 6. Let z be i(-5). Let v = -143 - -91. Let y = v + z. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 12984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2045*g + 6106*g - 24*g**3 - 2044*g - 2042*g - 15*g**3 to b + m*g**3 + h*g + n*g**2 and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8123138*m**5 - 2786996*m wrt m?\nAnswer: -162462760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 5:53 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + -0.4. Let k = 0.9952 - -2.0048. Let y = -70 - -69. What is the closest to y in j, -4, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 r when four letters picked without replacement from {z: 3, y: 2, r: 7}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33011\/3 or -11004?\nAnswer: -11004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -82, -127?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 75. Give d(14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 82680.32 nanoseconds?\nAnswer: 82.68032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = s + 5 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.1. Let x = -33.23 - -33.4593. Let v = x - -0.0707. Which is the second biggest value? (a) v (b) 1 (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 10*k**2 - 3*k - 10. Let y be 2\/(-8) - (-663)\/(-68). Calculate the smallest common multiple of i(y) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 397, 3 in decreasing order.\nAnswer: 397, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-222) - 2992\/592.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209252 + 47081804\/225. Let k = x - 6\/25. Let z = -354\/5 - -71. What is the closest to k in -3\/5, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.673 and -2097.\nAnswer: -1411.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47552380 is divided by 1011?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:27 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-342*(-246)\/6232)\/((-1)\/(-12)*3).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11330020 (base 4) in base 5?\nAnswer: 1234303","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 4*p + 2. Let d(z) = z**2 - z - 1. Let r(i) = 2*i**2 - 1. Let w(v) = 3*d(v) - 2*r(v). What is -4*j(a) - 6*w(a)?\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -69. Let d be (-1358)\/(-154) - 2\/(-11). Suppose 0 = 2*m - o - d, m - 4*o = 4 - 3. What is the greatest common factor of m and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 20*f)*(2 - f - 2) - 16*f**2 + 29*f**2 + 29*f**2 + (-f + 6*f - 3*f)*(f + 1 - 1).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -49730 from -1966334405.\nAnswer: -1966284675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51220 is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89432 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: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {q: 2, p: 3, h: 3, l: 3, d: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, -2, 0.22, 2\/3, 5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -26981\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134.1 - 134. Let o = 3.4 - 3.2. What is the nearest to o in 5, v, 13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -m - l, -m = 4*m + 2*l - 656. Suppose 4*u + 32 = m. Let g = u + -17. What is the greatest common factor of 12 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16370558.\nAnswer: 2, 17, 29, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - -6.07. Let n = -5 + k. Let t be (-12)\/(-20) - (-2)\/(-5). Which is the closest to n? (a) 0.3 (b) -2\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*h**3 - 4204*h + 8398*h - 4194*h.\nAnswer: -574*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) + (-20)\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009564162323 rounded to 6 decimal places?\nAnswer: 0.000956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 3*r**6 + 11*r**3\/2 + 2*r + 22. What is the second derivative of o(i) wrt i?\nAnswer: 1080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 72 = 0. Let r be 130\/w - (-4)\/(-18). Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, s: 5}. What is prob of sequence sssp?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -28. Let p be 3\/(g\/68) - -4. Suppose 5*c - 128 = p. Solve -5*f + c = -3*x, -f - 10 = 4*x + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -22. Calculate the common denominator of -47\/8 and (3\/54)\/(g\/(-153)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5649 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.107 + 0.047. Let k = -0.06 - j. Suppose -4*a - w - 6 = -0*w, -w = -3*a - 8. What is the nearest to 2\/5 in k, a, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159 is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 11:44 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 38 - 38 = 0, d + 4*z = 2*z + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13238970 rounded to the nearest ten thousand?\nAnswer: 13240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 8*f - 2. Let d be c(4). Suppose -4*q - 2 = -d. Solve 25 = 5*u - 4*m, -q = -2*u + 4*m + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.14 - -0.14. Let q = -19.1 - u. Let v be 2\/11 - (-16)\/154. What is the nearest to -1 in -1\/3, v, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 2*q**4 + 0*q**4 + (4 - 4 + 2*q)*(-555*q**3 + 1157*q**3 - 743*q**3) in the form l*q**4 + m*q**2 + o*q**3 + s*q + w and give l.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8923664*w**4 + 2*w**3 + 2*w**2 - 30258187*w wrt w?\nAnswer: 107083968*w**2 + 12*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 129*c - 1020. Determine a(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -235, -313, -391, -469?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - w - w)*(5*w + 2*w - 2 + 8*w) in the form d + m*w**2 + x*w and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) -2.3 (c) 13 (d) 1\/2 (e) -5 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 21866882.6 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - 1*sqrt(84)))*6)\/(sqrt(120)\/(sqrt(10)*1)) + 2 + (-1*sqrt(21)\/(sqrt(9)\/sqrt(3))*-1)**2.\nAnswer: 9 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:48 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-2 + (-2 - -10) + 8 + -18 - -14)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - ((-1*sqrt(110) - sqrt(110))*-5 - sqrt(110)))\/sqrt(10).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 5. Let i be l(-3). Let a(u) = -5*u - 1. What is a(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82.47 - 0.050098681855.\nAnswer: 82.419901318145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 17. Let y(t) = t**3 - 5*t**2 + 6*t - 6. What is the least common multiple of y(4) and j(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 19 + -2 - (401 - 398).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4452 = -4*w + 18*w. List the prime factors of w.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from fffvfffffffffffffff?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1 - 16*g - 13*g + 0 + 26*g. Give d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4*o - 3)*(-2 - 1 + 5)*(2 - 8 - 2) - o + 0 + 0 to i*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**9*r)\/(r*r\/(r\/r**(-2\/21))*r)*r**(8\/7)*r**(1\/2) assuming r is positive.\nAnswer: r**(451\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12098 times 0.68?\nAnswer: 8226.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33126 + -51226. What is d rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 0*s**2 - 1\/90*s**5 + 0*s - 1 - 1\/540*s**6 - 1\/36*s**4 - 4\/3*s**3. Let j(y) be the third derivative of u(y). Factor j(a).\nAnswer: -2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17768, 35438, 52984, 70388, 87632, 104698, 121568, 138224?\nAnswer: 154648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695734389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -1.41. Let n = z - -0.16. Which is the smallest value? (a) n (b) -1\/4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 381 - 84. Calculate the highest common factor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-100)\/675?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-102)\/305) + (10 - 13). Let j = 127\/51 - x. Which is the closest to 1\/4? (a) 5 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44420000 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -361, -366, -373?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 + -131 + (1 - -7) - (21 - 9 - 90).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 161 + 6333530?\nAnswer: 6334021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from lrrrrlrlrllr?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*c*j**2 + 2*c*j - 16469*c - 9*j wrt j?\nAnswer: -80*c*j + 2*c - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + -1 + sqrt(432) + 1)**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56416388 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 2*h - 19. Let z be n(0). Let f be (216\/(-9))\/6 - z\/1. Solve 3*m - j + f = 0, -2*j + 25 = -4*m + j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n + 8. Let b(m) = -5*m - 9. Let p(y) = -3*b(y) - 4*c(y). Suppose -14 - 8 = 2*u. What is the units digit of p(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 + 100 - 2*g**3 + 0*g**3 - 110 + 85*g**2 - 150*g - 7*g**2 = 0 for g.\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2*(-2)\/(-4). Suppose -7*v - 167 + 1308 = d. What are the prime factors of v?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 11 + (4 - 2) + (2 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-837)\/12 - 2\/8. Let g = y - -419\/6. Which is the biggest value? (a) 2 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -131*s**5\/60 + 5*s**4\/24 - 2*s**3\/3 - 9*s**2. Let a be l(2). What is the tens digit of a\/(-13) + (-10)\/(-65)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.05, -5, 3\/4, 0.3, -95\/89?\nAnswer: -95\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 665290*o - 79 = -665288*o, 3*n - 2*o = 35 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 23 = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -92, -275, -638, -1241?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(117) + 1)*-5 + (-1 + sqrt(104)\/sqrt(128))*-6.\nAnswer: -33*sqrt(13)\/2 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*m**3 - 1\/3*m**4 - 161\/3*m + 53*m**2 + 18.\nAnswer: -(m - 1)**3*(m + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 8. Suppose 2*y + 6*y - 32 = 0. What is the remainder when n is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4108125 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3680 + 3732. Let f(g) = 16*g. Let y be f(-3). Let r = y + o. Solve 0 = c - 2*l - 10, 9 + 3 = -r*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjx when three letters picked without replacement from {n: 2, v: 1, s: 2, l: 2, j: 10, x: 3}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*p. Let s(h) = -6*h + p*h + 4*h. Let a(o) = -o**2. Determine s(a(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 208 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43407 and 26089245?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 143 and -2320 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -16, -21, -26, -31, -36?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 74 = 4*t. Let z(u) = -34*u - 1. Let w be z(2). Let l = t - w. Calculate the remainder when l is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/23524999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176165471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45050108, 45050109, 45050110?\n\"Answer: i + 45050107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35650121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/208140 and -43\/145698.\nAnswer: 1456980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5818 (base 9) to base 8\nAnswer: -10326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80, 151, 222, 293, 364?\n\"Answer: 71*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002299 a multiple of 797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/20 - b**4\/2 + b**3\/6 - 4*b**2 - 6*b. Let k be g(6). Let d(y) = -15*y + 2. What are the prime factors of d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11224703011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-18)\/(-15)*2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -26 - 6. Suppose 2*x - 8 = 0, -x - p = -4*t + x. Solve 3*d = -9 - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17449.48um in kilometers?\nAnswer: 0.00001744948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-8) - 2\/8. Suppose 46*j - 50 = -10*i + 51*j, -j - 13 = -5*i. Sort 0.2, -4, m, i.\nAnswer: -4, 0.2, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 6*u - 84*u**2 - 9*u.\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 24522739.\nAnswer: 2\/24522739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/7, -41\/4, -46, -0.5, 3 in ascending order.\nAnswer: -46, -41\/4, -0.5, -2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11499 - -8321. What is m rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m. Let u(g) = -g**3 - 5*g**2 - 2*g + 1. Let y be u(-4). Let h(w) = -w**2 - 2*w. Let x(s) = y*p(s) - 6*h(s). What is x(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15888*o + 15877*o + 22 = 0. Put -2, 5, 7, o in increasing order.\nAnswer: -2, o, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 219*i**2 + 210*i + 285*i**2 + 65*i**2 + 280*i**2 wrt i?\nAnswer: 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58630091093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**2\/2 + 27*h + 89. Let x be u(21). What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17147 + -6147. What is t rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/4))**2)**(-3) assuming y is positive.\nAnswer: y**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30788 + -30786. Let p(u) be the first derivative of 0*u + 3 + 1\/24*u**4 - 1\/4*u**j + 1\/9*u**3. Factor p(k).\nAnswer: k*(k - 1)*(k + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -28*k + 256. Let n(r) = 9*r - 87. Give 7*n(o) + 2*s(o).\nAnswer: 7*o - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 915382811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 13*l - 133. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3616064 divided by 4?\nAnswer: -904016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-33))\/(15870\/11638).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 8402570*f + 772994120.\nAnswer: 5*(f - 1680422)*(f - 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*-2*5 - (sqrt(99)\/(2*sqrt(9)))**2*-3.\nAnswer: -110*sqrt(11) + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 23*s + 56. Give g(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30920521*a**3 + 8945494 wrt a.\nAnswer: -92761563*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59870, 59892, 59912, 59930, 59946, 59960?\n\"Answer: -r**2 + 25*r + 59846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4 - 0) + (-14)\/4)*-2. Suppose -102*j + 101*j = -a. What is the remainder when 43 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10568699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -576 <= -579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1209 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -8*r**7\/7 - 11*r**4\/6 - r**2\/2 - r - 6. What is the third derivative of x(h) wrt h?\nAnswer: -2880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125618.\nAnswer: 2, 107, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 0 in decreasing order.\nAnswer: 10, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*s + 38*s - 21*s + s**2 - 2 to the form w*s + q + h*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 64*h**2 - 200*h - 31. Suppose -g - 3*k = -19, 4*g + 20 = -3*k + 51. What is the lowest common multiple of o(67) and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -966\/17 + 25919\/34. Let w = -791569\/1122 + o. Is w bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34676910 divided by 2511\nAnswer: -13810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**4\/12 + 2*o**3\/3 + 2*o**2. Let u(f) = f - 3. Let s be u(5). Suppose -s*c - 3*c = -25. Give x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 62381.\nAnswer: 16\/62381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 94 + 167. Suppose y - 241 = -g. Calculate the remainder when y is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/9 - (-6)\/(-9). Sort n, -2, -1.\nAnswer: -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/2549?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 12455370?\nAnswer: 3736611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h**4 - 4453*h**3 - 8023*h**2 + 14905*h - 2418 = 0.\nAnswer: -403, -3, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 75*r - 78*r = -32, -3*y + 3*r = -96. Solve -4*q - y = -4*u, 10 = -5*u + q - 6*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199.11, -1\/6, -3, 15 in ascending order.\nAnswer: -3, -1\/6, 15, 199.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**41*n**(-10\/11))\/(n\/n**(2\/37))**(-2\/27) assuming n is positive.\nAnswer: n**(441329\/10989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/60 - c**4\/8 - c**3\/6 - 17*c**2. Suppose 3*z - 9 = 4*p - 24, -5*p = -z - 16. Calculate n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 1, -d = 5*c + 16. Let p = d + 59. Calculate the remainder when p is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*t**2 - 135*t**2 - 2 - 315*t**2 + 2 as z + k*t**2 + q*t and give k.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -245 - -357. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -274, -279, -284, -289, -294, -299?\n\"Answer: -5*o - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 29. Let b = o + -9. Suppose 0 = -9*k - 68 + 77. What is the remainder when b is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 36*b**2 + 278*b + 35. Calculate h(25).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let v(z) = -29025*z + 754. Let n(m) = 14513*m - 348. Let d(r) = -13*n(r) - 6*v(r). Give d(a(l)).\nAnswer: -14519*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10792, 10286, 9444, 8266, 6752, 4902?\n\"Answer: -168*a**2 - 2*a + 10962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8104*c + 848. Is m(-2) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4067935 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 2*q**2 - 1\/4*q**3 + 45\/4*q = 0.\nAnswer: -3, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444018?\nAnswer: 2, 3, 43, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**5*x - 3*b**4*x - 2*b**2*x - 52*x wrt b?\nAnswer: 420*b**2*x - 72*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 1, o: 1}. Give prob of sequence zll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 1642593 - 1642608 + 42*i. Let u(r) = -r + 1. Give k(g) + 15*u(g).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Suppose v = -p + w, -p - 13 = -3*v - 5*p. Factor -2*y**v + 4*y**4 - 5*y**4 - 4*y**2 + 3*y**2.\nAnswer: -y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20499528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4920 or -5162?\nAnswer: -4920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {h: 5, d: 7, j: 1}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73*a*g - 8134*a - 10*g**3 + 3*g**2 wrt g?\nAnswer: -73*a - 30*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 - 274.8. Let y = -64 + 196\/3. Sort x, 2.9, y in descending order.\nAnswer: 2.9, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63489 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0.15, -3, -1, 4924?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 1, z: 6, r: 2, a: 2, g: 3}. Give prob of picking 2 r and 1 a.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 11*u**2 - 15*u - 208. Let j be w(-10). Solve -j = 11*i + 10*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - 0) + 22 - (-2 + -3 - 16 - 5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 53. Let s be q(-41). Sort -29, 4, s in ascending order.\nAnswer: -29, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.4 + -3.5. Let q = -28 - -167\/6. What is the biggest value in 2\/23, r, q?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -925 - 4627?\nAnswer: -5451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.91 - 24. Let t = 0.09 + m. Let x be 2\/2 - (-7)\/(-2). What is the closest to -1 in -0.1, x, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 3, 1\/5, 0, -9, 1\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.164 + 1.864. What is the closest to 0 in -0.2, y, -0.01, 2.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100110111000011 - -100101000001?\nAnswer: 11101011100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkgvkkpvpoppkoko. Give prob of sequence pkgk.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 698.6478289 to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55851.\nAnswer: 3, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f**2 + 62*f + 26. Let a(j) = -17*j**2 - 93*j - 39. Let k(s) = 5*a(s) + 8*m(s). Let q be k(-10). Solve 3*h = -p - 10, 0 = -3*p + q*h + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (4 + 19 + -19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 27*l**5 + 39*l**4 + 40*l**3\/3 + 4*l**2\/3 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48.0151 + 45.117. Let i = -3.57 + 0.67. Let g = z - i. 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: Simplify ((j\/(j**(-1)*j))**(1\/11))**(-15) assuming j is positive.\nAnswer: j**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 9. Let r(l) = -23 - 2*l + 4*l + 5*l - v*l. What is the remainder when 30 is divided by r(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -353 + 435. Is 406\/5 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/9 + 3532022*s\/9 + 1177340\/3 = 0?\nAnswer: -1766010, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 5*u**2 - u**4 + 0*u**2 + (5*u - 3*u + 2*u)*(4*u**3 + 4*u**3 - 5*u**3).\nAnswer: 11*u**4 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*f + 8 = 0, -2*a - 5*f - 35 = 3*a. Let d = a + 8. Solve 2*m + 18 = -5*z, -19 = 4*m + d*z - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*2*(-16 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -41, 3, 5 in ascending order.\nAnswer: -41, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 301.272871 to two decimal places.\nAnswer: 301.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5690 + -5660. Solve -5*j = 5*o + h, -23*o + 21*o - 22 = 4*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = -4*v + 5*z, -v + 4*v - 11*z - 276 = 0. What is the remainder when v is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gng when three letters picked without replacement from {g: 5, n: 3, m: 3, l: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 67 = -2*f + 2*m, -5*f + 328 = -3*m. Calculate the remainder when 253 is divided by f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1561 - 1080. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2165105 and 64\/1675?\nAnswer: 10825525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x + 6. Let q(s) = -95*s + 5. Let z(i) = 17*i. Let l(r) = q(r) + 6*z(r). What is -7*l(t) + 6*y(t)?\nAnswer: -13*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46367\/5 - 9273. What is the fifth biggest value in 2\/3, -0.21, -0.4, 10, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18210\/20)\/(6\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i - 1. Let z be h(1). Suppose z*j - 2*j = 70. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 44 (b) -31 (c) -0.2 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*o - 86*o - 2584. Suppose 3*y = 3*d - 0*y - 234, -156 = -2*d - y. Let p = d - o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x + 6*x + 6*x - 19*x + 6*x**2.\nAnswer: 6*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633289?\nAnswer: 11, 37, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from sjjfsjmajgjjgja.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229687?\nAnswer: 29, 42403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/30*84\/(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12330 + 12390. What is the greatest common factor of r and 1356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(0 + -11 - -2). Let u = w + -8. Let g = u - 1. Solve 0 = -g*m + 3*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 16 = 5*v + 15, 0 = 4*v - p + 8. Let k = 2 + -4. Put -1, k, v in descending order.\nAnswer: -1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, -1, -0.145?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/5 + (-4)\/(-2). Suppose -4*h - c = -116, -g*h - 14 = 5*c - 118. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1354962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220 - 359 = 35*x + 62 + 39 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36118292.\nAnswer: 2, 7, 127, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j + 3. Let u be f(4). Let l = 19 + u. Suppose -r + 2 = -g - 6, -l*g + 33 = 5*r. Calculate the greatest common divisor of 63 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 - y. Let j = 26 - 18. Let r = 8 - j. Give u(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 13*u - 144. Let n(t) = 6*t**2 - 5*t + 3. What is the remainder when n(3) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*j + 286*j = -75 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 - 655*v + 157. Let z be w(109). What is the greatest common divisor of 208 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1668 - -1646.46. Let b = 2.36 - d. What is b rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 - x**2)*(14*x**2 - 12*x**2 - 2 + 4 - 15*x).\nAnswer: -4*x**4 + 30*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-8*-3*(-27)\/(-405)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + -1.95. Let v = 2.6 + z. Let b = -0.599988 + v. Round b to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 32 = 4*f, -4*f - 3*z + 11 + 21 = 0. Let y be (-10)\/(1\/(-16) - 0). Suppose -3*u - u = -y. What is the greatest common factor of u and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -223079.4881 to the nearest ten.\nAnswer: -223080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 371940 to the power of 1\/2, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -5, -32, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1561 and 63?\nAnswer: 14049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2772*h = 3858*h - 64074 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a33 + -a98?\nAnswer: 4d79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 85*(-1 - (-7)\/5). Let h = o + -18. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = x - 11, -3*k = -4*x - 93 + 80 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 6*z**2 + z - 1. Let y be k(6). Let u be 1\/3 - (-35)\/3. Let c = u - y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -751, -3.\nAnswer: -751, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -75*a + 2396. Let v be z(32). Sort 2, v, 0, -22.\nAnswer: -22, v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2045\/26529?\nAnswer: 2045\/26529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1479625\/33 not equal to -44836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (1 + 6 + (1 - 14)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -98 from 758851.\nAnswer: 758949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(30\/32*(-68)\/(-51))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90324229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/4)*y)\/(y**0*y)*(y**0)**(1\/8) assuming y is positive.\nAnswer: y**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from {w: 4, p: 1, t: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476673213?\nAnswer: 3, 59, 683, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 1 - 3 + 2*f**2 + f**4 - 11 as c*f + o*f**4 + b*f**3 + w*f**2 + i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2 - 235469*s - 235468 = 0. What is s?\nAnswer: -235468, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -147697 and 1.\nAnswer: -147697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 4) + -6 - 10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857848478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 0)*(0 + -1). Suppose 22 = s*k - 8. Suppose -5*u = -2*l + 3*l - 35, -l - 4*u = -34. What is the highest common factor of k and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1119*c**2 - 4176 wrt c?\nAnswer: 2238*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1308 - 1283. Put c, -0.1, 0.4, -3 in increasing order.\nAnswer: -3, -0.1, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542907 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: 2 divided by 48\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-1419))\/(((-22)\/66)\/(12\/20)).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5534*x - 53945 + 175693 = 0 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11785, 23579, 35373?\n\"Answer: 11794*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 80, 3, -2\/19, -2\/7, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11095 is divided by 185.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (6 + -21) - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1570, 3245, 4918, 6589, 8258?\n\"Answer: -f**2 + 1678*f - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 + 2)*(-5 - 7 + 3) - 2 + 3 - 2)*(3 - 1 - 1)*(-5*s - 2*s - s).\nAnswer: 368*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**7\/1680 - d**6\/320 + d**5\/40 + 13*d**4\/48 + d**3 + 205*d**2 - 3*d. Factor p(h).\nAnswer: -(h - 4)*(h + 2)**2*(h + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 4. Let i be x(-11). Let k = -12 - i. What is the first derivative of -k + 5*g - 1 - 2*g wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than 25.939?\nAnswer: 25.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**3\/6 + 7*u**2 + 2*u. Let h be 98\/147*(1 - -20) - 8. Calculate the smallest common multiple of c(h) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 at least 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017596445.\nAnswer: 3, 5, 97, 699379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 1 + 4 - 3) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14339391 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 0.3, 2.4.\nAnswer: -5, 0.3, 2.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 46, -5, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1479 + 1484. Calculate the remainder when 170 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 10) to base 14.\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39 + 13)\/2 + 13. Let z(h) = -h**3 + 2*h**2 - 6*h + 8. Give z(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from tttktdzddbtd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -551*o**4 + 101 - 101 - 1184*o**4 + (3*o**2 - o**2 - 4*o**2)*(0*o**2 - o**2 + 3*o**2).\nAnswer: -1739*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-20)\/(-30))*91\/21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:24 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 4, i: 1, w: 3, a: 7, n: 1}. What is prob of sequence at?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 97 = -46 - 1 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -18125525?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*((-1)\/(-2) - (-91)\/(-234)). What is the nearest to c in -0.0495, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:01 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32407065, 32407063, 32407061, 32407059, 32407057, 32407055?\nAnswer: 32407053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.4373 days in microseconds?\nAnswer: 16540182720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -6.4, 3, 7, -1, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355252 divided by 2?\nAnswer: -677626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 11) in base 13?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 7189\/(-2))\/((-26)\/52) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -647.7 rounded to the nearest ten?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110001101110100 (base 2) in base 3?\nAnswer: -11121211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.7 - -7. Let y = 79.7 - 80. What is the closest to 0.1 in 2, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -550, -5375, -13398, -24619, -39038?\n\"Answer: -1599*k**2 - 28*k + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 9:09 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Let c = 5 - o. Suppose 5*s + 84010 = -2*g, c*g = -g + s - 167998. What is g rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 307*x**7\/42 - 147*x**5\/20 - x**4\/8 - 21*x**2 + x. What is the third derivative of s(g) wrt g?\nAnswer: 36840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009064 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 409 = 507 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u. Let y(b) = -17*b + 11*b + b**3 - 4*b. Let c be (2\/4)\/(4\/(-40)). Let d(k) = c*j(k) + 2*y(k). What is the second derivative of d(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 159, 511, 1191, 2307?\nAnswer: 3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -82. Suppose -p + b = -4*i, 0*p + 5*i + 13 = -p. Suppose -1 = 2*h - 9. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/48790*-35)\/((-126)\/(-34))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -3\/5 (c) -2 (d) -1\/1930 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubq when three letters picked without replacement from uuuqbbqu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 98 - 93 - 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19116 and 78224796?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28088, 9, -3?\nAnswer: -28088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - (6 - 3)) + -1. Let k = 0 + q. Suppose k*x - 76 = -8. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 - -130150?\nAnswer: 130325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7324*k - 11044597. Determine x(1508).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-12))\/(35\/42). Let j(o) = 5*o**2 - o**d + 294 - 294. Let t(v) = -35*v**2. Give j(t(i)).\nAnswer: 4900*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.02 (b) -1\/3 (c) -3 (d) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10 and -3 + (350\/24 - 4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17349600 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*35\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, 1\/3, 1, -3, -5\/7, -2\/16805?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/2 - (-3 - -4). Suppose 0 = -3*u + 2*u. Find the second derivative of 7*j**2 + 0 - 2*j**r + 2*j + u wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -384 - -7?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -13583254.\nAnswer: -3\/13583254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758 is divided by 878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/12 + 2*m - 1. Let y(f) be the first derivative of w(f). Let b(s) = -10 + 10 + s. What is y(b(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14652487?\nAnswer: 17, 73, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/13 - 82466*o**2\/13 - 68479502*o - 62907891774 = 0. Calculate o.\nAnswer: -20111, -1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*j + 2, 5*v + 13 - 3 = -5*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0. Let l = 53051\/12 - 4424. Let v = l - -10\/3. Which is the second smallest value? (a) -3 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b - -276?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 1:32 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4967203 to the power of 1\/2, to the nearest integer?\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 40470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1015, -359, -2655, -5879, -10037, -15135, -21179, -28175?\nAnswer: -36129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 4, o: 3}. What is prob of sequence xj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:37 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 3*h - 3*h - 4. Let r be a(3). Factor 3 + 3*d - 6*d**2 - 5 - d**r + 6*d**2.\nAnswer: -(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*z - 19 = x, z = -5*x - 2. Let u = x + 1. Suppose 0 = -4*d + o, -d + 2*o + 3*o = u. Solve -4*b = -d*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*f - 1. Let r be (f\/(-3) - 3) + 5. Suppose 0 = 5*x - 5, 0*u - 2*x = r*u - 8. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*m - 67*m + 1613*m + 619*m = 162630 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 + 184*u\/3 + 60.\nAnswer: 4*(u + 1)*(u + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggahogooga. What is prob of sequence ga?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -606430 divided by -11026\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**2 - 7*t + 2. Let a be y(5). Let i(f) = -2*f**2 - 12*f + 41. Let s be i(-8). What is the highest common divisor of s and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9672 and 36.\nAnswer: 29016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735901960 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -3242*a**6\/15 - 5*a**4\/12 + 8*a**3 - a**2 + 2*a - 1345. What is the third derivative of g(w) wrt w?\nAnswer: -155616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100126\/(-30808))\/(26\/(-744))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*s + 233, -s - 109 = -4*p + 3*p. Let m be (-3)\/(4 + -1) + 4. Suppose i = -m*i + p. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1815 - -1874.56. Let m = 1880 - 1940. Let v = m + g. Round v to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-95)\/(-50) + -2)*-5)\/2. Which is the closest to k? (a) -0.6 (b) 10 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 5*r - 6. Let m be z(-4). Let v = 24 - 19. Suppose 2*p = 2*a, 0 = 3*p + 3*a - v*a - 5. Sort m, p, 3.\nAnswer: m, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 40. Suppose 5*b + 60 = 4*i - 311, q = 3*i - b - 292. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*j - 240 + 6 = -75*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75295, 150641, 226015, 301429, 376895, 452425, 528031, 603725?\n\"Answer: 2*j**3 + 2*j**2 + 75326*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Suppose 4*z + j = 3*j - 22, -j = z - 2. Let l be z\/(-1) + (1 - 1). Let i(m) = 2*m. Let t(q) = l*i(q) - 4*f(q). Let r(o) = -2*o**2. Give t(r(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**8\/(p\/p**(-2)) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47864?\nAnswer: 2, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79642611 is divided by 338.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34168823.\nAnswer: 13, 23, 114277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7170, -8450, -9728, -11004, -12278?\nAnswer: -13550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 7. What is the nearest to b in -1\/3, 5, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -5, 20, 18, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -93. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36006\/(-90585) - (2 - (-40)\/(-18)). Let r = 2\/305 - x. Let v = 18 - 18.4. Which is the fourth smallest value? (a) r (b) v (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 4. Let w be x(0). What is the second derivative of -6*y**3 + 6*y**3 - 6*y + y**w + 0*y**3 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2246401?\nAnswer: 313, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-27 - -36) + (1 - -1 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530597.\nAnswer: 530597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4968 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**6\/20 + 13*q**5\/15 + q**4 + 49*q**3\/3 + 8. Let h(x) be the third derivative of w(x). Factor h(k).\nAnswer: -2*(k - 6)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -21233112?\nAnswer: 21233112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, z: 10}. Give prob of picking 4 z.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14750055 * 2\nAnswer: 29500110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314383*z**3 - 7 + 7 + 315951*z**3.\nAnswer: 1568*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/35)\/(10\/35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -631, -632, -643, -670, -719?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, m: 4, t: 5}. What is prob of picking 1 m and 2 t?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 21111100212?\nAnswer: 21111100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z - 20 = -49*z. Solve -z*y + 20 = -4*n, 3 = -3*n - y - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1082\/48 + 12\/(-32) and (-36)\/(-14) - 6\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 608*z**2 + 51 - 9*z - 607*z**2 - 10*z. Let q be h(16). Let g be q + (48\/(-6) - -3). Which is the smallest value? (a) -1\/5 (b) g (c) -5 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*j**3 + 66*j**2?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 3087658?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 11*s**3 - 26*s**2 + 128*s + 3. Calculate the least common multiple of 33 and r(5).\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and (4 - -1) + 0 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518800.7 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(17) + (sqrt(170) + (sqrt(170) - (sqrt(170) + sqrt(170)*-2) - sqrt(170)) - sqrt(170) - sqrt(170))\/sqrt(10).\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 14*w + 7. Let o be l(11). Let a = -22 - o. Solve -a*u + 2*u = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 525, 3013, 7161, 12969, 20437, 29565?\nAnswer: 40353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 2 - 4 + 4*n**2 + 2*n + 2 + 0*n**3. Let q(g) = -7*g - 18*g**2 - 13 - 2 + 10*g**2 + 7*g**2. Let f be q(-4). Calculate k(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/2 - 39*r**2\/2 + 21*r = 0. Calculate r.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2600 divided by 50?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/44590 and -25\/143031.\nAnswer: 18594030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 565\/78 - 92\/13. Put 20, 7, 3, h in ascending order.\nAnswer: h, 3, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -1*-1*sqrt(1377) + -3)**2.\nAnswer: -108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(112)\/(sqrt(4) + (sqrt(4) - (-1*sqrt(100) + sqrt(4)))))\/(sqrt(256) - (sqrt(256) + (sqrt(256) - -4*(sqrt(256) - sqrt(256)*1)))))**2)*-4.\nAnswer: 9209\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Let k = 11 + -4. Sort n, k, -3 in descending order.\nAnswer: k, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 21918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let m = -2 - -2. Let l(q) = 3*q + q + m*q. Determine k(l(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1909 - 1777 = -44*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -222013332 (base 4) in base 12?\nAnswer: -83a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 5*u + 3*o, 4*o = -5*u. Suppose u*i - 208 = -4*i. Suppose -d + i = d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93189, -372762, -838717, -1491054, -2329773, -3354874, -4566357?\nAnswer: -5964222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccpcpc. Give prob of picking 2 c.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Calculate the least common multiple of m(4) and (-907 - -906)\/(1\/(-14)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5477953*f**4 + 5224276*f wrt f?\nAnswer: -65735436*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.75 + 0.05. Let c = -4.3 + x. Let b = c - -3. Put 2, -4, b in ascending order.\nAnswer: -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36076*c**3 - 67574*c**2?\nAnswer: 216456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.061*-181\nAnswer: 11.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3773 and -41\/77?\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956270226.\nAnswer: 2, 3, 159378371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4592141*p*s**4 - p - 23*s**5 + 8809615*s wrt s?\nAnswer: 55105692*p*s**2 - 460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 154276641 times 0.3\nAnswer: 46282992.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/51905 or -1?\nAnswer: -2\/51905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 377 = -4*l, -2*l + 0*l - 2*g = -196. Suppose l = 5*u - 160. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z - 2*z + 14*z)*(-2 + 2 - 2)*(-25 + 6 + 14) + (3 - 1 - 1)*(-2*z + 3*z + z).\nAnswer: 252*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 equal to -0.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 22416663?\nAnswer: 22416660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89662758.\nAnswer: 2, 3, 2383, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-2\/15)\/f)\/f)\/f**0*(((f*f*f**(-1\/3)*f)\/f)\/f)**19 assuming f is positive.\nAnswer: f**(173\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239778331*d**5 + 122597222*d wrt d?\nAnswer: -4795566620*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10731\/5 + 2146. Let h = 22021\/25 - 881. Find the common denominator of h and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1470 * 8.\nAnswer: -11760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-6 - -7) + (-3 + 4 - 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29715, -29713, -29711, -29709, -29707, -29705?\nAnswer: -29703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 25544*u**4 - 9232152*u**3 + 924998728748*u**2 + 2957775829703450*u + 2956850821768092 = 0.\nAnswer: -6263, -1, 6018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 353 * 0.3\nAnswer: 105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2168 and 143312.\nAnswer: -31070.0416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2. Let t(v) = 8*v + 3. Suppose 5 = -11*y - 17. Let l(x) = -9*x - 2. Let a(m) = y*t(m) - 3*l(m). Give f(a(h)).\nAnswer: 726*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 48822?\nAnswer: 2\/24411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1066 - 45524?\nAnswer: -46623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*6\/(3 - 6). Suppose -a - 2*a = -q. Suppose b - 3 - 5 = 0. Calculate the lowest common multiple of b and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718259063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 + 1 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 17 = 5*a. Let d(j) = -j**2 + 3*j + 16. Let s be d(-4). Is s greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -9. Let i be ((-198)\/(-12))\/11*-4. Is h >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 32*z**2 - 112*z + 18. What is the remainder when 268 is divided by d(-28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -8*v**3\/3 + 78. Let u(o) = -28*o**2. Calculate u(c(h)).\nAnswer: -1792*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 + -14 + 137*1. Suppose 4*u + r = -5*m + 6*u, 4*u = 8. Which is greater: -28 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6 - 4)*(-167 + 78 - 138)*(-5*i + 7*i + 11*i) to m*i + r and give m.\nAnswer: -8853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 20. Let p = 6 - j. Suppose u - 4 = p. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, y: 3, r: 1, p: 2, z: 1, j: 2}. Give prob of sequence jz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*z = 2*z + 15, -3*b + 15 = z. Let o(j) = 4*j - 2 + 2 - 11*j + j**2. Give o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 668 + -678. Let r(v) = 16*v + 160. Let p be r(s). Let k(z) = -z**2 - 8*z - 9. Let o be k(-6). Solve p*b + b - o = 4*d, d - 3 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48610869814 and -457?\nAnswer: 48610869357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000987735 to five decimal places.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3676 (base 8) to base 13.\nAnswer: b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 47*o**2 + 2*o - 1. Suppose 0 = -i + a + 1, 2*i + i = 4*a + 3. Let b be d(i). Suppose 3*m = 285 + b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97404566 to the nearest integer?\nAnswer: 9869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.14956 minutes to seconds.\nAnswer: 3908.9736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10058387, 10058370, 10058353?\n\"Answer: -17*g + 10058404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 314, 718, 1284, 2012, 2902?\nAnswer: 3954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3 - 96356*y**2 + 674414*y - 963420 = 0.\nAnswer: 2, 5, 48171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8093461.\nAnswer: 1123, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5 + 6*r + 3*r - 5*r + r. Let x(w) = 15*w - 26. Let d(t) = -3*t + 5. Let j(y) = 22*d(y) + 4*x(y). What is 6*j(v) + 7*l(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3328, 3333, 3342, 3355?\n\"Answer: 2*v**2 - v + 3327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) 0.5 (c) 1\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65*(-6)\/(-105) - (-2)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 30 = -3*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1925115.4000045 - -1925106.4. Let v = -14 - -23. Let l = k + v. Round l to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 2*c + 2*v - 12, -v = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 7*r + 6912. Is r a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6632958 and 121\/7023132.\nAnswer: 119393244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, 0.5, 2\/21, -0.2, 507?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*c - 150*c - 143*c - 152*c - 148*c + 719*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3306 is divided by 254.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -922*j**3 + 1270*j**2 + 1496*j - 696 = 0.\nAnswer: -1, 174\/461, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157*j + 184 = -5601 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16021 - -1?\nAnswer: -16020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 212 - 20 = 0. Let p be y\/18 + (-60)\/(-9). Let 4*g**3 + 0*g**2 - 6*g**5 + 8*g**2 - 9*g**5 - p*g**4 - 6*g + 17*g**5 = 0. Calculate g.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-2 + (2 - (-5 - 1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 579 + -531. Calculate the least common multiple of f and 20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from aqqsllaqqa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81065, 3, -52 in decreasing order.\nAnswer: 81065, 3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0246 or -56?\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 67*v + 8638. Calculate m(-129).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = -0*v. Suppose 5*y + 4*b - 20 = 0, -y = 6*b - b - 4. Let d = y + v. Solve -d*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - 7b?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -350, -3475, -9372, -18041, -29482, -43695, -60680?\n\"Answer: -1386*a**2 + 1033*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2619 - 898 = -3*g, 0 = -4*r + 2*g - 1746. Let f = r + 776. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 10*u**2 - 334*u + 2026. Determine z(6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-3\/11)\/b)\/b))\/(b\/(b\/b**(-20))) assuming b is positive.\nAnswer: b**(256\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 l, and 1 h when four letters picked without replacement from oliffidofhi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 174*k + 174*k + 2*k**5)*(-4 + 10 + 14).\nAnswer: 40*k**5 - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39281903*v**2 - 112057296 wrt v?\nAnswer: 78563806*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*f - 12, 535*v = 537*v + 6. Solve -f*t + 8 = 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuujuujjuuu. What is prob of picking 2 u and 2 j?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -2 - 15\/(-5). Let c be (237\/(-48))\/(1\/(-146)). Let y = 722 - c. Is y bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 105 = -6. Let p be -284*2\/(-3 + -1). Let h = p + f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.70768l to millilitres.\nAnswer: 12707.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.3, 3, -0.3, -1\/5, 2\/5 in increasing order.\nAnswer: -5.3, -0.3, -1\/5, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = q - 3, 3 = 2*q + 2*q + f. Let u = 2 + q. Solve -u*m = -3*c - 1, 2*c - c - 1 = m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7\/3)\/w)\/(w*w*w\/w**(-1))*w**(-4\/11)\/w**(3\/4) assuming w is positive.\nAnswer: w**(-1115\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 + 246. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*h = 4431 - 1290 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -495 divided by 165.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2202231 (base 8) to base 9\nAnswer: -1100627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3*8\/(-32))\/((-15)\/(-20))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s - 341*s**5 + 597*s**5 - 411*s**5 wrt s.\nAnswer: -3100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 610\/9 - 68. What is the nearest to 1 in -1\/2, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48042 is divided by 163.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -18*l**3 + 2*l**2 + 4*l - 17. Suppose 76*i = 74*i - 8. Is j(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67046.03l?\nAnswer: 67046030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 116.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56592.64452 rounded to the nearest 10?\nAnswer: -56590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 403, 4\/7, 0.5, 0.35, 4 in increasing order.\nAnswer: -1\/2, 0.35, 0.5, 4\/7, 4, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(22)\/(sqrt(18) - sqrt(2)) + 2)*2)**2.\nAnswer: 8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 37854 and 37857 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4011 - 5?\nAnswer: -4016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 126 = 3*u, -126*u - 2*d - d = -537 + 195 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 1462*z + 1460*z + 2, 14 = -c + 3*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9 and 47\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1078*q - 1019774. Calculate o(-946).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -29\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and -0.110794345.\nAnswer: -0.070794345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-364)*(-312)\/(-36)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8 - 7)*(56 + 168 - 2*f**3 - 48)*(f + 4 - 4).\nAnswer: -14*f**4 + 1232*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 11. Let t = 0 + v. Let j = -5 - t. Which is the nearest to -1\/4? (a) j (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15254121852274 minus -1?\nAnswer: -15254121852273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1592 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -16*w - 2. Let q(b) = b. Let i(x) = m(x) - 3*q(x). List the prime factors of i(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -22. Let y = 9 - g. Let l = -2 - -1.8. Which is the nearest to y? (a) -1 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*a + 5*a. Put 5, -0.23, a in decreasing order.\nAnswer: 5, -0.23, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r. Let f(n) = 45*n**2. Determine f(y(p)).\nAnswer: 1125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**6\/60 + l**5\/30 - l**3 + 2. Let b(i) be the third derivative of c(i). Find the second derivative of b(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 27*l**2 + 8*l - 15. What is the thousands digit of j(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29678\/(-3692) + 2*4\/1\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -0.29849, 114?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 2*w**2 - 4*w + 14. Let d(v) = -v**2 + 6*v + 2. Calculate the lowest common multiple of d(5) and j(3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1183 - 823. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**6\/72 + c**5\/4 + 25*c**4\/24 + 3*c**3\/2 + 19*c**2. Let w(d) be the first derivative of r(d). Factor w(g).\nAnswer: 5*(g + 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15*w**2 + 7*w + 2. Let d(q) = 5*q**2 - 5*q + 33. Let z(m) = -2*m**2 + 4*m - 39. Let i(t) = -7*d(t) - 6*z(t). Give -5*i(l) + 8*v(l).\nAnswer: -5*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352350 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700 and 857800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 351897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.3, 1\/7, -2, -77\/6, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126905395360.999997191 + 126905395281. Let b = -80 - a. What is b rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 2 + 438*y**3.\nAnswer: 438*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = 0. Let n(r) = r**2 - 16. Let y be n(j). What is the least common multiple of (-3)\/2 - 40\/y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*p**2 - 889*p**2 + 843 - 3*p + 968*p**2 - 73*p**3 wrt p.\nAnswer: -438*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q + 70 = -u, 3*q + 2*u + 55 = 0. Let w be 2\/12 - q\/(-102). Suppose w = -3*r + 2*c - 0*c + 4, 12 = 3*c. Solve -12 = r*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1825 + 1828. Suppose 4*o - n = -o + 473, 5*o + 5*n - 455 = 0. Suppose x + o = w - x, -5*w - p*x = -483. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 20*c - 8. Let p(q) = 2*q**2 + 25*q + 10. Let a(u) = -4*p(u) - 5*w(u). Let o(b) = -907*b**2. Determine o(a(i)).\nAnswer: -3628*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3982*t + 495779 - 495779.\nAnswer: -3982*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 1. Let k be c(-1). What is the units digit of -1 - k - (-92)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/(-27) + -1 + 4\/(-18). Which is greater: j or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + -54 - (4 + -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/26*(-6)\/16. Let o = i - -37\/260. Sort -1\/10, -0.6, o.\nAnswer: -0.6, -1\/10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/42 and -143\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r + 2. Let w(g) = 13*g - 7. Let u(o) = -10*o + 5. Let q(v) = 4*u(v) + 3*w(v). Give -b(x) - 5*q(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2976 = -338*v - 589 + 317 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -640, -392, 32, 638, 1432?\nAnswer: 2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -1\/8, 7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 4. Let n = -18 + 22. Suppose 5*r = 6*r - n. Give p(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*v + 1 = -0*h, -3*h + 5*v = 8. Let m = h - -2. Let s(c) = 0 + m - 5*c - c**2 + c. Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3205*o + 164 + 349*o + 14846*o - 164 to x + i*o and give i.\nAnswer: 11990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*f)*(-686*f + f**4 - 27*f**4 + 693*f - 4).\nAnswer: 52*f**5 - 14*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Suppose 0*x - 12 = -3*x. Let q(j) = 12*j**2 - 5 + x*j**2 + 5. Give q(v(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 0.01. Let t = 0.02 + h. Let g(v) = -v - 5. Let j be g(-4). Which is the nearest to 1? (a) 5 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001193726 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = 0, -3*q - 2*v = -2*q - 170. Let w = -180 + q. Factor 0*b**4 + 2\/5*b**5 + 0 + 2\/5*b - 4\/5*b**3 + w*b**2.\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 + 7*s + 8*s**3 + 9*s**3.\nAnswer: 7*s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7087, -5576, -3069, 434, 4933, 10428, 16919?\nAnswer: 24406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*t**2 - 2*t**4 + 22*t**2 + 2*t**5 + 19*t**2 + (-t + 8*t + 12*t)*(-5*t**4 + 2*t**4 + 2*t**4).\nAnswer: -17*t**5 - 2*t**4 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -614, 2, -5, -3, -191 in ascending order.\nAnswer: -614, -191, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/12)\/1*-3*148. Let f = v + 418. Calculate the remainder when f is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 1, -1, 7, 31, 77?\n\"Answer: b**3 - 4*b**2 - b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023291 rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2143 and -0.26.\nAnswer: 557.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-1))\/((-41 + 29)\/6). Let q(y) be the second derivative of r - 3*y + 1\/48*y**4 + y**2 - 1\/4*y**3. Factor q(t).\nAnswer: (t - 4)*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -164 in 3\/7, 2, 89\/3, -6, -4\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 1. Let j(b) = b + 6. What is the remainder when 0\/(-6) + 1*34 is divided by j(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luihuzx. Give prob of sequence uhu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) -2\/7 (c) 2\/3 (d) -0.7 (e) 14 (f) -18 (g) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10380 and 12?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 1, 7, -9876, -225?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = s + 716*h - 713*h, -9 = s + 2*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447228669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -612, -11212, 2, 5, 1 in descending order.\nAnswer: 5, 2, 1, -612, -11212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d + 21 - 21 + (3 - 1 - 4)*(-d + 0*d + 3*d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2377.47 + -2403. What is f rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222583857 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v\/v**5)\/v))\/(v*v**(-19)\/v))\/(v**(-1\/3)\/(v*v**23)))**18 assuming v is positive.\nAnswer: v**888","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s + 8. Let k be 7 + -10 - (-8 - s). Suppose 15 = q + k. Calculate the lowest common multiple of 20 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1295532 and -48137404?\nAnswer: 49432936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 19. Solve 0 = 4*j - r*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 1126 + 268. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343)*2)**2 + 1 - (sqrt(343)*-2 + -2)) + 2)*-6.\nAnswer: -8262 - 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002924938 times -0.4?\nAnswer: -0.00011699752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209 + -0.108.\nAnswer: -209.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + (-41749)\/(-166). Put 2, m, -5 in decreasing order.\nAnswer: m, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o + 476*o**2 - 1 - 233*o**2 - 242*o**2 + 163*o**3 in the form z + x*o + a*o**2 + r*o**3 and give r.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52448876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*c = -c + 13, -r - c + 7 = 0. Suppose -m = r*m - 7. Is 1\/(((-208)\/70 - -2) + m) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 28 - 39 + l**2 - 7 + 2*l. Let g be j(-6). Solve -z + g = -6*a + 3*a, 4*z + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 286 + -26. Let d = a - 209. Calculate the remainder when 149 is divided by d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + -2021003?\nAnswer: -2021026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3, -363, -5.\nAnswer: -363, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 30*c**2 - 7*c - 1. Let n be k(-1). Suppose n*y = 24*y + 3720. Calculate the remainder when y is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1330083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 7. Suppose -6*f - 14 = -44. Calculate p(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 356436 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 84*i**3 + i**2 + 65*i**3 + 233 - 6*i.\nAnswer: -19*i**3 + 5*i**2 - 6*i + 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 - 6*k**2 + 2*k + 3. Let z be m(5). Is 34 a factor of (48\/28)\/(4\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**4 + 50115132*g**3 + 15559335 wrt g?\nAnswer: -4*g**3 + 150345396*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5581 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099729213?\nAnswer: 11, 29, 769, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -876371 and 5338?\nAnswer: 881709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -498347 and -3.\nAnswer: -498350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*o + 1977 + 2012 + 1922 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 + 4*q - 1. Let p be l(-5). Let s(i) = 2*i - i**3 + 2*i + 7*i**2 + p*i + 10. Is s(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*o**5 + 248*o**2?\nAnswer: 1320*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/3)\/8)\/((-70)\/15).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1253 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbllbtqqllqbtlll. What is prob of picking 1 t and 2 b?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 1 + sqrt(75) + -5 + 6*1*sqrt(75) + 0.\nAnswer: -4 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1.52?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -544, 18, -0.0545, 1\/5 in descending order.\nAnswer: 18, 1\/5, -0.0545, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17360 (base 8) in base 11?\nAnswer: -5a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4111774.\nAnswer: 2, 557, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1612*t + 3 - 3 + 1329*t in the form x*t + k and give x.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -54929, -1 in increasing order.\nAnswer: -54929, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 9. Let y be (0 + -1)*6*32\/(-24). Calculate the greatest common factor of y and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199457*s + 578611*s + 490049*s.\nAnswer: 869203*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1398 by 466.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 4. Let u(w) be the first derivative of 2*w + 2 + 1\/2*w**2. Let c(t) = t**3 - 7*t**2 + 5*t - 3. Let x be c(6). What is x*u(n) - 4*o(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 346?\nAnswer: -4844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2141 + 1928. Put -1, -2, f in ascending order.\nAnswer: f, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 46093 = -105443. Is (-2)\/(-3)*(o\/8)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16.6 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q + q - 2*q in the form l*q + y and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/8)\/(2\/(-4)). Let q(a) = -6*a**2 + 4*a + 2. Let s(d) = 5*d**2 - 3*d - 2. Determine b*q(w) - 4*s(w).\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*s = 4*h + 147*s + 233, 824 = -3*h - 17*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 47*s + 524. Let m be f(29). Let x(i) = -2*i - 6. Let g be x(-5). Solve -12*n**3 + 74\/5*n**m + 8\/5 + 18\/5*n**g - 8*n = 0 for n.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630457559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*b - 2388 = 22*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -4, 23, 9, 247 in increasing order.\nAnswer: -4, 9, 23, 46, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 2*b**2 - b + 8. Let x be a(2). Solve -i + 5*u + x = 2, 16 = 4*i - 3*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -16. Suppose v*j - 14 + 4 = 0. Find the second derivative of i + 5*i + 5*i**5 - j*i**5 - 3*i wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 11*x - 40 = 0. Let m be -1 + -6*4\/x. Solve -7*b**2 + 3*b**3 - 3*b**4 + 4*b**m + 3*b**3 + 0*b**3 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (13 - (-13 + 5769\/180))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/120 + b**5\/12 - b**4\/6 + 22*b**2. Calculate s(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15550511 (base 8) to base 2.\nAnswer: 1101101101000101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*l + 64. Let y = l - 22. Let k = 6 - 1. Solve 10 + k = y*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.2, 815\/398?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1196262928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 - 182 = 43*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*0.14.\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:25 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.454222 to 1 decimal place.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(6\/(-45))*(-252)\/35. Suppose 37*z - i = 10*z. Solve -z + 11 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 1. Let v be g(0). Let z be 72\/(-20) + 4 + ((-7929)\/585 - -13). Which is the fourth biggest value? (a) v (b) -0.1 (c) -6 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -15*y - 14. Let n = -3 - -5. Calculate the greatest common factor of y and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -9972942\nAnswer: -199458.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259 + 262. Suppose l = -5*x + 51, -2*x + 34 = -t*l - 0. Solve -7*b = 24 + x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/11)\/m**(1\/4)*(m**(2\/3)*m)**(-1\/30) assuming m is positive.\nAnswer: m**(-157\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = m + 12*m. Let z(d) = -m*d**2 - 13821*d + 13821*d. Let u(b) = 8*b**2. Let j(c) = -23*c**2. Let k(y) = 6*j(y) + 17*u(y). Calculate z(k(n)).\nAnswer: -68*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 513453 - -3?\nAnswer: 513456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85792, 170565, 255338, 340111?\nAnswer: 424884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 63.9 * -148226\nAnswer: -9471641.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -13*u**4 - 6*u**3 - 10*u + 50. Let n(l) = -14*l**4 - 7*l**3 - 11*l + 51. Let z(j) = -6*n(j) + 7*o(j). Differentiate z(a) with respect to a.\nAnswer: -28*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-2))\/((-390)\/(-260))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -16*m. Let j(d) be the third derivative of -d**4 + 318*d**2. Give -5*j(p) + 8*o(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -0.042442?\nAnswer: 17.042442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -78*o - 794. Give j(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -310*i**3 - 3*i + 1 + 5*i + 5*i**2 + 312*i**3. Let j(x) = -4*x + x**3 - x**2 + 5*x + 4*x**2 + 1. Calculate 5*j(m) - 3*p(m).\nAnswer: -m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5801*i**2 - 80752*i**2 + 4005*i**2 - 76186*i**2.\nAnswer: -158734*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.066 - 22.55\nAnswer: -22.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 5. Let s be f(-3). Let o(h) = 6 - s + h**3 + h**3 + 0*h**3. Let i(y) = 2*y**3 + 5. Determine 4*i(z) - 5*o(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:49 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.04 - -0.04. Let t be (-4)\/(-6) + 1\/(-2). Which is the third smallest value? (a) 2\/9 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/1680 and -107\/22.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 2*q**2 + 1. Let j be h(-2). Suppose -z - 20 = 4*z. Let i be ((-30)\/z)\/(-3)*-2. Put j, 3, i in increasing order.\nAnswer: j, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 841, 1666, 2493, 3322?\n\"Answer: a**2 + 822*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 512020500 rounded to the nearest 1000000?\nAnswer: 512000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 755 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45029730?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {x: 2, v: 6, s: 3, n: 2, o: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 - 63413900*w + 63413895 = 0. Calculate w.\nAnswer: 1, 12682779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k + 4. Give m(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33921.7331 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 13*t + 35. Let m be u(-9). Let o be ((-14)\/10 + m)*160\/(-24). What is the greatest common divisor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 848171.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/8 and -145\/8389068?\nAnswer: 16778136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -30. Let o be 67\/(u + (-88)\/(-28)). Suppose 4*z = -4*i + 380, 0*i - 2*i = 5*z - o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159625619 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3381158502 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23637, -23754, -23949, -24222, -24573?\n\"Answer: -39*f**2 - 23598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -61*z**2 - 6*z + 6. Let q(v) = v**2 - v + 1. Give 6*q(o) - x(o).\nAnswer: 67*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-294)\/(-525)*6650\/2793?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103467 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 886, -803, -0.1, 0 in descending order.\nAnswer: 886, 0, -0.1, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3. Let j(i) = -5*i**3 + i**2. Let b be ((-125)\/(-100))\/(8\/32). What is b*h(a) - 3*j(a)?\nAnswer: 5*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = q - 3. Let o = q + -2. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 19 = s - 5*q, 5*s = -3*q - 7. Suppose 3*z = 14 + s. Let i be 172\/(-220) + 3\/z. Is 0 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -15\/176086 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2\/3 - 8206927*q\/3 - 3282770\/3.\nAnswer: -(q + 1641385)*(5*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -93606e (base 16) to base 6\nAnswer: -543003102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110021222 + -10002?\nAnswer: -12110102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 827*b - 826*b. Solve 5*n + b - 9 = v, 4*n + 2*v + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 105*d - 2726. Let c be k(-58). Let -t**4 + 0 + 1\/3*t**5 + c*t + 0*t**2 + 0*t**3 = 0. Calculate t.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(605) - (sqrt(605) - sqrt(605)*4)) + sqrt(605))*-1 + 3 + 1 + sqrt(605) + 2 + -5.\nAnswer: -44*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, 2, 19, 8, 4, -2 in descending order.\nAnswer: 19, 8, 4, 2, -2, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1400020 (base 5) to base 11\nAnswer: -1a158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 6)\/(4\/(-2)). Suppose 0*l - 4*l + 8 = n*y, 0 = l + 5*y - 2. Suppose l*a + 2*a = 24. 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: Calculate -7686 divided by -525.\nAnswer: 366\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7157 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702000 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5\/3 + 16*q**4\/3 - 247*q**3\/3 - 550*q**2\/3 = 0.\nAnswer: -25, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003837143 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(52 - 54)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114659.237 rounded to the nearest one thousand?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(117) + sqrt(117) + sqrt(117)*-3 + 0)**2 - (sqrt(117) - (-1 + sqrt(117) + 3) - sqrt(117) - sqrt(117))**2)*-4*-2.\nAnswer: -2840 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15464885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - -3) + -1 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/825390 and -49\/19625940?\nAnswer: 176633460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/285 in 5, 81, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 + -176. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(75\/(-100))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/39)\/(1\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 5*v - 1. Let i be q(4). Let y be (-53)\/i + 15\/(-25). Let d = -8 + y. Solve -4*c + 1 = -2*r - c, 0 = -r + 4*c + d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/((-1280)\/45))\/((-15)\/132) and 32\/35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*u + 38*u + 8 - u**5 + (-4*u**2 - 6*u + 6*u)*(6*u**3 - 8*u**2 + 8*u**2).\nAnswer: -25*u**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 14*t**2 + 2*t - 14. Let u be w(7). Suppose u = -c - 5*c + 12. Solve 5*r - 2*i + 3*i + 18 = 0, -c = -i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736563079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 126*3\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, o: 5}. Give prob of picking 1 t and 2 o.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -510 in 0.1, -0.01, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048874 rounded to 3 decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1283 + 680 + 603 + 41*f.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.024 and 1882312236798.\nAnswer: 1882312236798.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2 + 3700672*s - 3423743312896 = 0.\nAnswer: 1850336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 18*o + 38. Calculate y(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vffvfvffff. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = -n. Is 1\/n*1*-111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 3}. Give prob of sequence vx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -16. Suppose -5*n + f - 3*f + 7 = 0, 3*n - d = -4*f. Let k(l) = 59*l - 3. Let i be k(n). What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -481 - -481.02. Let j = 0.0271 - r. What is j rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 0.5\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*w + 15 - 2, 0 = 3*r - w. Let g be 1\/r*-2 + 0. Solve g*v - 5*s - 4 = -s, 4*v + 25 = -3*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/260 - 2*b**5\/195 - b**4\/156 + 2*b**3\/39 + 40*b**2. Factor k(l).\nAnswer: 2*(l - 1)**2*(3*l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1286.975 and 76.5?\nAnswer: 1363.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 28*d**2 + 50*d - 68. Give q(-6).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15522876?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhhhhhhhhhhdhd. Give prob of sequence hhdd.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14611.0139 rounded to 0 dps?\nAnswer: -14611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4 = -4*p, 0 = -2*p + p + 2*f - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - p**2 - 2*p - 2. Let i(u) = -2*u**3 + 2*u + 3. Calculate 2*i(m) + 3*v(m).\nAnswer: 2*m**3 - 3*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00050864 rounded to six dps?\nAnswer: 0.000509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-8)*7\/(49\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 16*b**2 - 7*b + 3. Let o be p(-6). Find the common denominator of o\/40 + 4\/2 and 67\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -125*s**5 + 1114091475*s**4 - 2482398403834470*s**3 - 5461280142656390*s**2 - 3872544932471325*s - 893664307741005 = 0?\nAnswer: -1, -3\/5, 4456367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-120)*5)\/((-91)\/(-117))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 548, 12, -2\/93?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01352 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/3, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(-6) - 14 - (-22)\/(-12)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.6441 + 14.7. Is m smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from yuouoqqsqu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31958 is divided by 1389?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 p when four letters picked without replacement from ggpggpqgggqqpggggp.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s + 41. Let h be g(5). Let d be (-2 + 5 - h)\/(10\/160). Let f be -8*-1*(-2)\/(-4). Calculate the highest common factor of d and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.14 - 19. Let t = q + -0.14. Let l = -1 + 0.6. Which is the nearest to t? (a) -0.9 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34663\/6 - 5792. Calculate the common denominator of (-94)\/(-35) + ((-72)\/(-42))\/(-6) and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20817 + -20817.5. What is the third smallest value in 0.02, -3, 2.05, f?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0905569 years in months?\nAnswer: 1.0866828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 20155*n - 2603244. Give s(130).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 55\/26, 0.193, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + 5. Solve 5*z + k - 19 = 3*k, -5*z + 3*k + v = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*d**4 - 16368*d**3 + 87924*d**2 - 97592*d + 26016 = 0. What is d?\nAnswer: 2\/5, 1, 4, 813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(84) - (sqrt(84) + 2*sqrt(84)*1 + sqrt(84) + sqrt(84)) - sqrt(84)) + 6*sqrt(84)*-2)\/(sqrt(12) + 1*sqrt(300) + sqrt(1452)*1).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.219 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2, 3, -166, -8 in ascending order.\nAnswer: -166, -8, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -741 take away -21737?\nAnswer: 20996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-3) - 1)*1. Suppose 5 = -f - h. Let m = -4 - f. Is m <= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 1. Let m(w) = 7*w - 5. Let t = -197 + 196. Give t*m(n) - 3*y(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78.9 - -69. Let q = z + 9.5. What is the second biggest value in 0.4, -26\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16822057*n**3*t + 547*n**3 + 2*n**2*t - n**2 + 525*n wrt t.\nAnswer: 16822057*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37850, 38361, 39212, 40403, 41934, 43805?\n\"Answer: 170*l**2 + l + 37679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/19, 0.1, -2\/7, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 6*d. Let r = 10 + -23. Let i = -18 - r. List the prime factors of w(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12793.\nAnswer: 11, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 231441312110 - -4?\nAnswer: 231441312114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4946 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*o - 187*o - 33*o + 8*o - 191*o to the form l + p*o and give p.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + r)*((1 + 1 + 1)*(5 + 2 - 3) - 82 + 48 + 176).\nAnswer: -308*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-2)\/4)\/(75 + -76)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 8*z**2 - 7*z + 4. Determine x(5).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-21 + 21 - (1 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5968*k**3*q - 4*k**2*q - k + 12*q - 3 wrt k?\nAnswer: -35808*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l - 152 = 6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111176487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5866, -10750, -15642, -20548, -25474?\n\"Answer: -p**3 + 2*p**2 - 4883*p - 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 259084 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1341 and -7550?\nAnswer: 10124550","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 29327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 8*f**2 + 10*f + 11. Let x(i) = i**3 - 9. Let r be x(0). Let s be g(r). Solve 4*v + 5*d = -3, v - 4*d = s*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -58 in decreasing order.\nAnswer: 4, 2, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/100437 and -157\/66.\nAnswer: 2209614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + 4*n, -4*n = -o. Suppose o = -2*x - 4, 0 = -0*r + r - 4*x - 23. What is the remainder when 58 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13346 is divided by 13225.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -1 + 4)**2 - sqrt(14)\/(sqrt(84)\/sqrt(48)) - ((1 + 1 + sqrt(8) + sqrt(242)*-2)*2)**2.\nAnswer: -3109 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 277, 352, 477, 652, 877?\n\"Answer: 25*m**2 + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiyiidiii. What is prob of sequence iy?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 - -1318\/15. Let v = -0.6 - 2.4. Which is the third smallest value? (a) v (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4596 and 33\/37534?\nAnswer: 225204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0298833802 rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 150 = 1575. Is i > -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {i: 4, p: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2772566*y**2 + 2*y - 450363 wrt y?\nAnswer: -5545132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 58, -5, -0.048 in decreasing order.\nAnswer: 58, 4, -0.048, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**11*a)\/a**(-2))**34)**(-40) assuming a is positive.\nAnswer: a**(-19040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2424.\nAnswer: -4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -117 - 57 + 39 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 33 = -17. Suppose g*o = -3*u + 15 + 8, 7 = 2*o - u. Solve 3*p - 2 = 2*q + 3, o*q = 5*p - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033*l**3 + 1623*l**3 + 2067*l**3 + 2000*l**3 - 806*l**3.\nAnswer: 5917*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 839 (c) -0.5 (d) -1 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000086509586 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + h + 15 = -2*s, 4*s + 3*h + 59 = 0. Let t = -11 - s. Suppose -4\/7*p**2 + 0 - 2\/7*p + 2\/7*p**5 + 0*p**t + 4\/7*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3081*r - 4562*r + 2727*r.\nAnswer: -4916*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -371 + 395. What is the remainder when w is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**4\/24 + y**2. Let n(t) be the third derivative of -49*t**4\/6 - 2*t**2 + 200*t + 9. What is w(n(d))?\nAnswer: 196*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4\/9 - 1286*x**3\/9 - 428*x**2\/3 + 1286*x\/9 + 1285\/9 = 0.\nAnswer: -1285, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, k: 3, x: 2}. What is prob of sequence xx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -20\/3 (b) -0.03 (c) -44\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 7*h - 2*h - 59, -h + 141 = 4*i. Suppose -33*b + i*b = 128. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-211672)\/16*-1*(-2 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 - 94*n**3 + 191*n**2 - 96*n = 0.\nAnswer: -96, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85*i*u**2 - 8*i*u + 1886*i wrt u?\nAnswer: -170*i*u - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/(2\/(-20)*-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*k - 2862, 19*k - 20*k - 3*o = -949. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7936 + 5.63. Let p = -0.6194 + k. What is p rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 72 (b) 0 (c) -5\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92758216 to the power of 1\/2, to the nearest integer?\nAnswer: 9631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 18*v - 14. Let u be y(-17). Let j(w) be the third derivative of w**4\/6 - w**3\/6 + 2*w**2. What is j(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 30.00566 millilitres?\nAnswer: 0.03000566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-3)\/25*-5. Suppose -b*u + 195 = 5*y - 0*y, 3*u = 5*y - 195. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2272*m - 282*m - 152*m in the form r + t*m and give t.\nAnswer: -2706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843917?\nAnswer: 433, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -15. Let m = 2 + x. Let o = 13 + m. Which is greater: 12 or o?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*d = -2*d + 42, -3*d + 47 = -4*t. Let w(p) = 12 - 9 - 207*p + 205*p - 13 - 5. What is w(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3323310 (base 5) to base 10.\nAnswer: 57955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90296 or -90298?\nAnswer: -90298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**6\/120 + 3*j**5\/20 - j**4\/12 + 2*j**3 - j**2. Let o be l(9). Let q = 10 + o. Sort -1, 5, q in decreasing order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzszzzzzzzzh. What is prob of sequence zzhs?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2023837, 2, -5 in descending order.\nAnswer: 2023837, 11, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 6*p**2 + 4. Let z be y(-6). Let t(n) = -3*n + 8*n - 1 + n**2 + n - 1. Let o be t(-7). Solve -7*u - o = v - 3*u, 3*v + 15 = -z*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2430 = -2*y - 3*y - r, 0 = -3*y + 5*r + 1458. Suppose d = -5*v + 79, 2*v - 1 = -5*d + y. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 9}. What is prob of picking 3 t and 1 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*w + 74 = 4*l - 300*w, -2*w = -4*l + 72 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19761 - -59285\/3. Suppose 0 = 2*y - y. Let v be -1 - 2 - (-3 + y). What is the smallest value in 2, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 41 = 4*d. Let c(n) = 9*n**3 - 2*n - 5. Let u(a) = -14*a**3 + 3*a + 7. Calculate d*u(m) - 8*c(m).\nAnswer: -2*m**3 + m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.91715 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o. Let f(p) = p**3 - p + 78. Let t be f(0). Let v(r) = 7*r**2 - 78*r + t*r. What is v(n(m))?\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.2. Let w = g - 0. Let j = -3\/2 + 2. Which is the closest to j? (a) w (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2267972 is divided by 566993.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 543\nAnswer: 32.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18600)\/(-84) - 8\/(-14) - 1. Calculate the greatest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*u + 1 + (4 + 0 - 3)*(0*u - u + 3*u) + 7*u - 3*u + u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (6 + 70\/(-7)) - 18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k = 0. Let f(j) = -j**2 + 9*j + 26. Let r be f(11). Suppose r*m - 104 + 8 = 0. Solve 4*p + 2*g - m = 0, k*p - g = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 87289662327?\nAnswer: -87289662331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -13.56. What is j rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = 4*x + 3*n, 0 = 10*x - 6*x + 2*n + 242. Let q = 9 + -6. Calculate the common denominator of -59\/32 and 2\/(q - 2) + x\/176.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016007 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - ((0 - 4) + 4). Let a be (-180)\/(-12)*1\/b. Let v(o) = o**3 - 4*o**2 - 3*o - 3. What is v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/(-776) + (-4300875)\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816240327 to the power of 1\/2, to the nearest integer?\nAnswer: 28570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38 and 365\/10585 + (-1234)\/(-7105)?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 3:57 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/3*b**3 + 2\/3*b - 2\/3*b**4 + 2\/3*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 24.9. Which is the second smallest value? (a) s (b) 4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.105 - -70. Let k = w + -1.895. Let g = 17.1 - 17. Which is the third biggest value? (a) k (b) g (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(-1 + sqrt(76) - sqrt(76) - sqrt(76)) - 1*(sqrt(76) + 0) - (-4 + (-5 + sqrt(76)*2 + sqrt(76))*6))**2.\nAnswer: -164416 + 11040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 - 1061*f - 1017. Calculate a(-176).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 3*b**3 - 2*b**3 - 2*b + 4*b**4 to the form g + x*b**2 + v*b + w*b**4 + k*b**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 6444*k - 60 - 57.\nAnswer: -6444*k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 684 = 23*l. What is the greatest common factor of l and 836?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0.2. Let r = 0.176 + -136.176. Let h = -136.1 - r. Which is the second smallest value? (a) -2\/15 (b) o (c) -0.4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(15)\/sqrt(20) + -5)*-4)**2.\nAnswer: -80*sqrt(3) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*b**2 + 4 + 243*b - 243*b to the form j + q*b + k*b**2 and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, -3, -1, 0.215?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 + 432*w + 1271. Give v(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 + 0 - -8) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 394*d**2 + 3400. Let v(m) = -5*m. Determine i(v(p)).\nAnswer: -3940*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12*f**2 - f. Let q(s) = 870*s - 2606. Let h be q(3). Let y(w) = -11*w**2 - w. Determine h*x(g) - 5*y(g).\nAnswer: 7*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010539791 to four dps.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j - 15. Let y(n) = -9*n + 112. Let h(i) = 3*i - 40. Let k(c) = -17*h(c) - 6*y(c). What is -11*k(r) - 6*l(r)?\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72\/11*w + 5\/11*w**3 - 36\/11 + 43\/11*w**2.\nAnswer: (w + 3)*(w + 6)*(5*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 72522 (b) 1 (c) -0.1 (d) 0 (e) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 2*w + 60 = 0. Suppose 4*q - 3 = -x, 81 - 3 = 5*x - q. Which is greater: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3907081 divided by 30.\nAnswer: 3907081\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94135924 > -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 + -208. Solve -s + q = -7, 0 = -2*s + q - 4*q - v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 10*p + 2. Determine s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -232*z - 1112 - 1904 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/5 + 307*n**2. Let f(k) = 56*k. Determine g(f(x)).\nAnswer: -37632*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2. Let f(n) = -2*n - 12. Let k(z) = z + 5. Let i(b) = -b**2 + 5*b + 9. Let g be i(7). Let s(m) = g*f(m) - 12*k(m). Calculate t(s(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 - 2*x**3 - 2*x**2 - 2*x + 4. Suppose -16 - 4 = 4*l + 3*q, -15 = 3*l - 2*q. What is a(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*y + 1136 - 348 = -33*y. Solve 24 = -y*n + 32, 0 = -5*v + 2*n - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orprorzrrrzjyrjyr. Give prob of picking 1 r and 2 o.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-1.391\nAnswer: -0.5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1383845, -5535386, -12454621, -22141550, -34596173, -49818490, -67808501?\nAnswer: -88566206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 4*c**2 + 2*c + 1. Give f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 33*i**3 - 2 - 35*i**3 + 2*i**2 + 4 in the form n*i**3 + b*i**2 + o*i + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 2*m + 2*g - 486, 2*g + 1079 = 5*m. Calculate the remainder when m is divided by 76.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18093.01 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 433498259 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59306 and 520068?\nAnswer: 6760884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1)*j)**(-49)*j**(-3)\/(j*(j\/(j*j**(-3\/7)))\/j) assuming j is positive.\nAnswer: j**(-1053\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8*r**11*r*r*r*r)**7 assuming r is positive.\nAnswer: r**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnyyxyxxxyxxxyxxy. Give prob of sequence ny.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19142 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.7 - 3.6. Let a = -8.52 + 12.15. Let f = d - a. What is f rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28950.40700076 - -28950.49. Let y = -1.87 - -1.787. Let c = y + o. What is c rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42666 is divided by 1473?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + (-4)\/8. Suppose b - 2 = -c. What is the second derivative of -t**5 + 5*t - t - 2*t - c*t**5 wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135990?\nAnswer: 2, 3, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.9. Let d = -701 - -699. Which is the nearest to 0.1? (a) d (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -196, -12601, 0.4, -5?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 81 = f. Let s = f + -32. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = x - 4*p + 4*p + 5, 4*x - 105 = -5*p for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -878, -877, -866, -839, -790, -713, -602, -451?\n\"Answer: p**3 - p**2 - 3*p - 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004602 to four decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away 44.2?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/37, 3.1, 1\/30, 5, 0.5, 1.\nAnswer: 1\/30, 2\/37, 0.5, 1, 3.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 2. Suppose -p = -3*j, 4*j = 3*k - 0*k. What is the highest common divisor of k and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 565355 and 37959550?\nAnswer: 265716850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*b, -6*b + 10*b - 28 - 23 + 28 = -15*h + 42 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - 0 - -3) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 27*y + 3*y)*(5*y**2 + 0*y**2 - 3*y**2)*(-y - 40*y + 19*y)*(4 + 1 - 3).\nAnswer: 2112*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005671 rounded to six dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypx when three letters picked without replacement from pxyxy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2003*a - 1573 = 3965*a - 1949*a for a.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + 2 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*j**3 - 1 + 1 + 92*j**3.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -118317, -118306, -118287, -118260, -118225, -118182?\n\"Answer: 4*t**2 - t - 118320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a second in milliseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 2*h. Suppose 0 = -u - 0*u - 12. Let o = -19 - -33. Let s = o + u. Let c(n) = 3*n**2 - 5*n - 1. Calculate s*c(q) - 5*l(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3 (c) 76102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 58 = 2*p, -a + 4*p = 2*a - 62. Solve u = -5*u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56 or 1432?\nAnswer: 1432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-17))\/((-1)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 855106999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*u**2 + 19*u - 1970.\nAnswer: 94*u + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 1. Let x(h) = 3*h**2 - 75 - 71 + 153 + 5*h. Calculate -x(m) + 6*z(m).\nAnswer: -3*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -729 + 908. Find the first derivative of 630 - 2*z**4 - o*z**3 + 0*z**4 - 920 wrt z.\nAnswer: -8*z**3 - 537*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5536.13 centuries to years.\nAnswer: 553613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/24 - -5 - (-8)\/(-6). Solve f*x = 6, 3*n + 12 = -2*x + 4*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 7*c**2 - 3*c + 8. Let z(t) = -8*t**3 + 2*t + 1. Let j be z(-1). Let f be y(j). What is the remainder when 34 is divided by 6\/(-39) - 158\/f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f + 12 = 47*f. Factor 26*w**3 + 4 + 8*w**4 - f + 86*w**2 - 112*w**2 - 8*w.\nAnswer: 2*w*(w - 1)*(w + 4)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213.9899 - -214. Let m = 0.021 - n. What is m rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 2. Let v be b(5). Suppose v = 4*o - 29. Is (4\/2)\/(o\/92) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 35. Suppose -2*g = 3*g - x. Calculate the remainder when 26 is divided by 11 - g\/(9\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 34, 27, 8, -29, -90, -181, -308?\n\"Answer: -k**3 + 3*k**2 - 3*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 294, 302, 312, 324?\n\"Answer: u**2 + 5*u + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64\/1 - (1 + -5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6700517 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -l + 17, -2*p + p + 3 = 0. Let g be 6 + (-1)\/(-1)*-3. Suppose 0 = -g*j + 3 + 15. Calculate the smallest common multiple of l and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*b - 8, -1537*t = -1532*t - 2*b + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.1365 millimeters in meters?\nAnswer: 0.5391365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.3 (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**6 + 0 - 1\/21*b**7 + 0*b**2 + 0*b**5 + 1\/12*b**4 + 0*b**3 + 3*b. Find the third derivative of w(k) wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16127 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/2 + 4625*k**4\/2 - 55229*k**3\/2 - 585737*k**2\/2 - 262941*k = 0. Calculate k.\nAnswer: -6, -1, 0, 19, 4613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3 + 9. Let b be (-3)\/4 - j\/16. What is the units digit of (b*4)\/(2\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 2300*b\/7.\nAnswer: 2*b*(7*b - 1150)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -25125\/2 <= -12563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -53416 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -64 * -0.67\nAnswer: 42.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 175*p - 177*p - 4*m, m = 3. Solve -5*b + 18*j = 16*j + 24, 2*b + p = -j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 2)*(17*u + 18*u - 27*u)*(31 - 3 - 6) to the form v*u + j and give v.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 - 2621\/10. What is the common denominator of -79\/16 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1795*a**3*d**6 - 10*a**3 + 90*d**2 wrt d.\nAnswer: -215400*a**3*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-5))\/((-8)\/10). Let y(g) = 10*g - 74. Let d be y(7). Let q = -3 - -3.2. What is the smallest value in d, m, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -3) + 2\/2. Let o(t) = t - k*t + 2*t. Let l(a) = -a**2. Calculate l(o(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - 67. Solve 5*p - 4*p = -4*i + a, 5*p = -i + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9282698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let t(f) = -2. Let v(u) = 9 + 9*u + u**2 - 9*u. Let o(g) = 9*t(g) + 2*v(g). What is o(r(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d + 30. Let z be w(9). Suppose -g = 99 - z. What is the lowest common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 - 79. Let w = f - 98. Sort w, -0.2, 8 in decreasing order.\nAnswer: 8, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 3) + (2561 - 2579)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -243.3 - -259. Let i = k - 90.7. Let n = -41 - i. Which is smaller: n or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 170? (a) -5 (b) 2\/9 (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)\/1 + 2. Suppose 2*u + 88 = k + 557, -714 = -n*u - 2*k. What is the least common multiple of 2 and 2\/6 + u\/12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 0.911, 4, -4\/9, -1\/3, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105019\/20 + -5252. Let c = -10650 + 191809\/18. Calculate the common denominator of k and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -623 + 627. Suppose 2*d = 3*z - 9, d - z - 9 = -r*z. Solve 2 = 5*j + h - d*h, 2*h + 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81234 is divided by 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3912.991 years in millennia?\nAnswer: 3.912991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 706 + -250. Suppose 15*p - 294 = m. Calculate the greatest common factor of 125 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9160 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*21\/(-488)*2684\/(-4697)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14961?\nAnswer: 3, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -48. Let y(c) = -c**3 - 12*c**2. Let o be y(b). Is 1174*(o + (-1)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 19*c - 7. Let t be f(3). Suppose -j - 1200 = 39*j. What are the prime factors of ((-324)\/j)\/(103\/t - 2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -3. What is the units digit of -6*(c - -1) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 20*y**2 - 4*y - 4. Let b(l) = -3*l**3 - 19*l**2 - 3*l - 3. Let x(v) = -4*b(v) + 3*k(v). What is the third derivative of x(s) wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231*(2 - (-20)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.8. Let d = 17344 + -17343.5. What is the closest to 0 in -1\/7, d, -5, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1772*w**2 + 39*w**2 - 75*w**2 + 1061*w**2 as m*w + y + v*w**2 and give v.\nAnswer: 2797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 24*x + 67*x)*((2*x**4 + 0 + 0)*(-1 + 3 - 1) + 2*x**2 - 2*x**2 + x**4).\nAnswer: 126*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3196800 and 480?\nAnswer: 3196800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12095, -1, -56 in descending order.\nAnswer: 12095, -1, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42693444, 85386899, 128080354, 170773809, 213467264?\nAnswer: 256160719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202656 by -50664.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4080, -10790, -17500?\n\"Answer: -6710*i + 2630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhu when three letters picked without replacement from {n: 5, u: 6, h: 1, f: 3, a: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 1. Let r be k(1). Suppose -3*s - o = -s + 3, o = -r*s - 12. Let z = 612 + -611. Sort s, z, 5.\nAnswer: s, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x + 2*x - 27 + 27. Let v(l) be the first derivative of -2*l**2 - 14. What is v(f(z))?\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5225 + -1.4775. What is the fifth biggest value in 0.03, 108, b, 3\/8, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2883?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.254 less than 90743?\nAnswer: 90143.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 16 = -6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the next term in 36, 100, 288, 666, 1300, 2256, 3600, 5398?\nAnswer: 7716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - l - 12690 = 1397, 4*l = 16. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*y - 39*y. Sort -0.2, -4\/3, 10, y in decreasing order.\nAnswer: 10, y, -0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*-3*(-8)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (9 + -21) - 12 - 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12*r**3 + 25*r + 26. Let b(m) = 3*m**3 + 3*m. Determine -9*b(z) + v(z).\nAnswer: -15*z**3 - 2*z + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/13))**(-6\/23) assuming v is positive.\nAnswer: v**(-90\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 767512*b + 80588763. What is z(-105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -7*f**4\/6 - 37*f**2\/2 + 33*f. Differentiate y(z) wrt z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*h - 35*h - 30*h - 820 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/5)*z\/((z\/(z*z\/(z*z**3*z)))\/z)*((z\/z**(1\/2)*z)\/z*z)**9 assuming z is positive.\nAnswer: z**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(30)\/sqrt(2)*5)\/sqrt(3) - (sqrt(90) + -3*-1*sqrt(90) + sqrt(90) + sqrt(90))\/sqrt(2).\nAnswer: -13*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1531 - 1568. Is g not equal to -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1111011200121210?\nAnswer: -1111011200121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22583 and -19.4?\nAnswer: 438110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/((-91)\/(-7))*1\/(21\/(-182)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 0.4 (b) -23 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, g: 4, n: 2, p: 3, i: 2, w: 1}. Give prob of picking 1 i, 2 g, and 1 w.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uguu when four letters picked without replacement from uguguuuuuuuguuuuuug.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyhohth. Give prob of sequence hyto.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.3 and -73311167570.\nAnswer: -73311167563.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -37, -56, -83, -118?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 4*l - 10, -51*z = -54*z - 4*l - 22 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161000 by -430.\nAnswer: 16100\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0115 - 3.0115. Sort -0.06, u, -2\/13, -4\/7 in descending order.\nAnswer: -0.06, -2\/13, -4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5642052.\nAnswer: 2, 3, 13, 59, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*42\/(-33) - 60\/110. Suppose 5 = 3*s - c, 3*s - 4*s = -3*c - 15. Let g = 10 + -6. Solve s = -u*h + g*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnj when three letters picked without replacement from {n: 3, j: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/373, 1\/5, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 3072?\nAnswer: 58368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247393?\nAnswer: 247393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4522512 rounded to three dps?\nAnswer: -6.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 75988?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 20*t**2 - 222*t - 33. Suppose -9 = -3*u - 3*x, 3*u - 3*x = 2*u + 15. What is the least common multiple of u and s(28)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3. Let i be (k - 0) + -2*1. Which is the closest to 1? (a) i (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -169*(31115\/(-16760) - -2). Let a = n + 3\/3352. What is the common denominator of a and -23\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 - -133. Put -300, -5, l in decreasing order.\nAnswer: l, -5, -300","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53\/7 - -99\/14. Suppose -4 = -u - 2. Let z = -21 - -125\/6. Which is the second biggest value? (a) u (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799, 1604, 2409, 3214, 4019, 4824?\nAnswer: 5629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -12\/5*k**4 - 90*k + 0 - 362\/5*k**3 - 552*k**2 = 0.\nAnswer: -15, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j**2 + 1039*j - 6059. What is l(88)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 5*w)*(-2*w + w - w) + (w**2 + 3*w**2 - 5*w**2)*(-3 + 3 + 1).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 15. Let m be (-1)\/2*(-15)\/(90\/276). Suppose -10*x - 3 + m = 0. Sort i, 4\/7, x in decreasing order.\nAnswer: x, 4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -22. Suppose 2*q + 8 + 2 = -y*b, 3*b + 8 = -q. Let l be (14\/147)\/(2\/12). Which is greater: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1 + 48\/(-50)). Calculate the highest common factor of 175 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*t + 34*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/3 - 161*m**4\/3 - 7162*m**3\/3 - 18240*m**2 - 34656*m = 0. Calculate m.\nAnswer: -76, -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 6. Let f be l(-4). Suppose -2*s + 6 = 0, 4 = -c - f*s - 0*s. Let k(r) = r + 10. Let j be k(c). Solve 3*n + n - 20 = j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1046\/20 + (242 + -228 - (-715)\/100*-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 0 + 6*t + 5)*(t**3 + t**3 + t**3) to g*t**3 + i*t**2 + p + u*t**4 + f*t and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7048a (base 14) to base 13\nAnswer: -95a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*q - 35 = 0, 37 = l - 8*q + 3*q. Let s = l - 22. Let g(y) = -y**2 + 2*y + 3. Let k be g(s). Solve -3*n + 5*n + 7 = -w, -3*n = -k*w - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b00 - 29?\nAnswer: 3aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 2. Let x(j) = 3*j**2 - 5. Give -5*q(k) + 2*x(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11101011010000111110110011?\nAnswer: 11101011010000111110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8389160*d**3 - 4*d - 58389248 wrt d.\nAnswer: -50334960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a0 (base 15) in base 13?\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 19*h**2 - 42*h + 46. Let a be g(21). What is a rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124513 - -3?\nAnswer: -124510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453576295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - 2*d)*(2 - 1 + 6*d + 0*d) + (-8*d + 0*d + 16*d)*(0*d + 11*d + 2*d).\nAnswer: 110*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 19323 - 2142. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 714\/4*23*416\/50232.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261 - -250. Let d = -20 + 36. Let z = v + d. Which is greater: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - (1 + 2)) - (-8 + 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfnn when four letters picked without replacement from bnnf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 132\/462 + (-1 - (-25152)\/21). What is the greatest common divisor of 36 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 - 1568*l**4 + 4*l**3 + 3136*l**2 - 2*l - 1568 = 0. What is l?\nAnswer: -784, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-1)*q)\/q)\/q*q*(q*q*q**4)\/q)\/(q*q**(-2\/29)*q**(2\/29)))**30 assuming q is positive.\nAnswer: q**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 = 3*g - 289 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/32 and -91\/1186.\nAnswer: 18976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/52 in -1, 1.397, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-180))\/((-2)\/1270). Suppose 0 = -13*a + z + 68. Solve a = -12*d + 15*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4314, -8632, -12948, -17262, -21574, -25884?\nAnswer: -30192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1354?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let o = 3 - 5. Let p be (o - -1)\/((-1)\/2). Let h(r) = -r**2 + r**p - 2*r**2. What is h(f(w))?\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3919\/4 + 29661\/28. Let q = u + -79. Which is the nearest to 2\/3? (a) q (b) -2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 364 and 5096.\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*i + 2*i - 5114*i**3 + 5106*i**3 + (15 - 6*i**2 - 15)*(2*i - 4*i + 4*i).\nAnswer: -20*i**3 + 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -672b - 5?\nAnswer: -6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1270\/957 + 2\/319. Determine s, given that 2*s + l + 2\/3*s**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187569743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 21.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c - 5 = 0. Suppose -121 - 68 = -23*i - 4*i. Suppose -8*j**2 + j**2 - c*j**2 + i*j**2 + 5 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(8\/(-4)) - -347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -762*n + 289319. Determine z(380).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - sqrt(132)*-2*-6) + sqrt(132) + sqrt(132) - sqrt(132) - 2*(1*sqrt(132) - sqrt(132)))*-6)\/(-1*sqrt(48) + sqrt(48) - 4*-2*sqrt(12)).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:21 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 32*h - 49*h = 5*g + 675, 0 = 2*g + 4 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*((v*v**(-31))\/v)\/v*v)**(-4))**16 assuming v is positive.\nAnswer: v**1856","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -14*m**3 + 7*m**2 + 5*m - 24. Let r(o) = 3*o**3 - 2*o**2 - o + 6. Let x(d) = 2*a(d) + 9*r(d). Let q be x(-5). Is q at most as big as 230\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638299421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 148 + 159 - 5*a - 325 - 11*a**2 + 4*a**2 + a**3. Give n(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**8\/1680 - 23*p**7\/1050 + 143*p**6\/600 - 121*p**5\/300 - 6*p**2 + 8. Factor b(r).\nAnswer: r**2*(r - 11)**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 + 112\/18. Suppose 0 = 3*n - 0*n + h. Put -4, 3, n in ascending order.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40299 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/12 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1172 + 80 = 273*j. What is the closest to 0.26 in j, -7, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - -19. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 48. Let n(x) = 128*x**2 + x - 1. Let f be n(1). Calculate the highest common divisor of f and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439159067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78271719, -78271723, -78271729, -78271737?\nAnswer: -78271747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 - 42*h**2 + 0*h**2 + 47*h**2 - 6*h**2 + h**2.\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 11*z - 106. Let u be f(21). Sort 4, 1, u in increasing order.\nAnswer: 1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -998418*n*q**2 - 219*n*q + 7*n - 26*q**2 - 1922*q - 1 wrt q.\nAnswer: -1996836*n - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716540176?\nAnswer: 2, 13, 8252597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 19, y: 1}. Give prob of picking 2 c.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j = 5*j + 1198 - 2446 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1338 and 3836938.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o + 180*o - 1 = -3*c + 90*o, 0 = 3*c + 3*o + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 6, 2, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179557 + 296658. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 152 - 225 = 0. Calculate the remainder when 183 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h + 31. What is the hundreds digit of y(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 24*x**2\/7 - 90*x\/7 + 108\/7.\nAnswer: -2*(x - 6)*(x - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37883 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261682 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (288\/(-360))\/((-4)\/105)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 32131?\nAnswer: 32121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 7*d**5\/30 - d**3\/2 + 3*d**2 - 28. Let s(r) = -55*r**2 + 11. What is -11*p(a) - 3*s(a)?\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 3*n = 38551, -3*y - 28935 = 5*n. What is y rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2767 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1737*n**2 - 5 + 5 + 795*n**2.\nAnswer: -942*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (51 - 49)*(-1)\/2*-5. Solve a = -5*t - 11, -h*a - 10 = t - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 4*b - 375. Let d = b - 406\/3. Factor -2\/3 - d*h**2 + 8\/3*h.\nAnswer: -2*(2*h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2368 divided by -65830.\nAnswer: -1184\/32915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1542555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337227*x**5 + 82*x - 173?\nAnswer: 6744540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/6)\/((-1)\/(-3)). Let m be (-224 + n)*(-4)\/6. What is the highest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 73, 0.5, -0.2, -9, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 3}. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -786*h**2. Let a(i) = 6*i. Determine a(f(g)).\nAnswer: -4716*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 5*y**2 + 0*y**2 + 906*y + 9*y**2 - 7*y**2.\nAnswer: -2*y**2 + 906*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 k, and 1 z when four letters picked without replacement from gkkgzkgfzkzff?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h + 7. Let a(j) = j**2 + 7*j - 24. Let y be a(-10). Suppose g - 49 = -y*g. What is the lowest common multiple of q(-6) and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20377\/656 + -31)\/((-1)\/(-2))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is -5359818 not equal to -5359822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -15.11. Let c = -8 - v. Let k = c - 7.006. Round k to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*q = -q + 8795, -c + 1759 = -q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 + 4306*d**3 - 740700*d**2 + 39099200*d - 649312000 = 0. Calculate d.\nAnswer: 40, 103, 1970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 212244450 a multiple of 3070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + (-6 - (-28 - 16))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 32*a**2 + 15*a**2 - 2*a.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b - -188169?\nAnswer: 18809a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -t + 15, 8*t - 3*t - 31 = -y. Let x be 133 + 20\/(t + -2). Let l be (x - -13)\/(6\/14600). What is l rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/60 - 5*u**4\/12 - 40*u**2 + u. Let j(o) = -4*o**2 + 19*o. Let r(g) = -2*j(g) - 5*k(g). Factor r(p).\nAnswer: 3*p*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13760\/134160)\/(8\/13)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1220200 + -10?\nAnswer: 1220130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and -31\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 + 201*x**4 - 2*x + 10 + 4*x**3 - x**2 - 200*x**4 in the form w + a*x**4 + q*x**2 + u*x + f*x**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 0, 9 - 27 = -3*s + 2*h. Suppose 5 = -x + 4*n + 24, -3*n - 6 = 2*x. What is the smallest common multiple of s and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -584 or -1313?\nAnswer: -1313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from qqhqqhh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172776 divided by 3.\nAnswer: -57592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*n, -n + 180 + 135 = m. Let g = m - 282. What is the smallest common multiple of g and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w - 5. Let n = -742 + 742. Determine l(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 9 + 12*z**3 + 3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {y: 2, l: 1, u: 1, z: 2, r: 1, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = -3*x. Suppose x*h - 4*h = 4*k - 9, -6 = -2*h + 2*k. Let m = h + -2. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*t - 5498 - 4512 for t.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 10. Let m = u - 10.2. Which is the closest to -1? (a) 1 (b) 1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 431 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14314014140 - -22?\nAnswer: 14314014212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppdpppp. What is prob of sequence ppdp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -418, -707, -1488, -3007, -5510, -9243?\n\"Answer: -41*b**3 - 2*b - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 5*a**2 + 5. Let o(m) = -2*m + 13. Let u be o(4). Calculate f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 8. Suppose -1 = -3*q + c. Suppose 2*x - 2*i = 2, i = -2 + q. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 21784*c**3 + 586224*c**2 - 5270184*c + 15801804.\nAnswer: 4*(c - 5419)*(c - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -232066.6 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssu when three letters picked without replacement from suussusssss.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 12*s - 237. Let d be r(20). Let w(q) = q**2 + 2. Let o(y) = -10*y**2 + 4*y - 147. Let u(v) = d*w(v) + o(v). Differentiate u(b) with respect to b.\nAnswer: -14*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 741725.4 years?\nAnswer: 8900704.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, -73, -118, -161, -196, -217, -218, -193?\n\"Answer: w**3 - 8*w**2 - 24*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 3 in descending order.\nAnswer: 3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 - 2. Let y be ((-252)\/84)\/(3\/4). Let x(j) = -1. Calculate y*i(h) + 8*x(h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8 + 3*n**3 - 6*n**2 + 8 + 4*n**3 wrt n?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 4*o**2 - 2*o - 6. Let b be s(-4). Let a(h) = 1 + 5 - h - b. Let l be a(4). What is l rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**2 - 6*l + 12. Let c(z) = -z**3 + 16*z**2 - 51*z + 162. Let q be c(13). Let r(o) = -o**2 - o. What is q*r(s) - p(s)?\nAnswer: 2*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 3*w = 8207, 3 = w. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 154*h**2 + 443*h + 1512. Determine o(151).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27278, 26903, 26270, 25373, 24206, 22763?\nAnswer: 21038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a, 3*a = 2*c - 2130. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832644697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + 50 - 3 - (-12 + 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1317 + -1322. Which is the second smallest value? (a) m (b) 44 (c) 5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1992 + -1990. Solve 3*u - 5*u = 2*c - x, 0 = 4*u + 2*c + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**(-3\/5)*b)*b*b)**27\/(b*(b*b\/(b*b**(2\/5)\/b*b*b))\/b*b**(-2)) assuming b is positive.\nAnswer: b**(201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 2*p**3 + 85*p**2 - 5 - 133*p**2 + 191*p**2 + 4 to z*p**2 + s*p + n + b*p**4 + y*p**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -24*p**2 + 2*p - 7. What is s(2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**2\/k)\/k**(1\/18))**(2\/25))**(-26))**(-1\/11) assuming k is positive.\nAnswer: k**(442\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**7)\/b*b))\/(b**(-3)\/b) assuming b is positive.\nAnswer: b**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117553311, 117553310, 117553309, 117553308, 117553307, 117553306?\nAnswer: 117553305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Let s(r) = 2*r + 5. Let w be s(4). Let v = w - t. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 + 160*b**2 - 1772*b + 4784 = 0. What is b?\nAnswer: 4, 13, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337990 = 20*h - 56*h + 223898. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*o = 3*o - 15, -2*o = x - 12. Suppose -5*y - 4 = -x*y. Solve -14 = y*s - 7*s - 2*d, 0 = 5*d - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1043.\nAnswer: 4\/1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 - -165. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 17638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*14099.\nAnswer: 56396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 12.922?\nAnswer: -51.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-1 + 2*l + 1) + l - 3*l + 4*l + l + 3*l - 3*l + 7*l - 9*l - 8*l + 1 + 3*l - 1 + (-3*l - 3*l + 5*l)*(5 - 1 - 2).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(448) - -2*sqrt(448)))**2.\nAnswer: -48*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 94*b**2 - 114*b**2.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 5, s: 15}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76327 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.142583 times 1.8\nAnswer: -2.0566494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1584 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*k - 820*k + 4347 = -1595*k for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.435169 hours to minutes.\nAnswer: 386.11014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3 - 0 - -5) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(4)\/sqrt(2)) - -3*sqrt(3402))\/((-5*sqrt(600)*-2 - sqrt(600))*-6))**2.\nAnswer: 343\/18225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103188, 103156, 103122, 103086, 103048, 103008?\nAnswer: 102966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u + 1. Let h(p) = 19*p**2 - 2*p + 8. Let a(t) = -h(t) - 2*s(t). Differentiate a(n) with respect to n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m - 5*m. Let u be (5 + 5 + -2)*14\/(-8). Let v(a) = 2*a + 31. Let d be v(u). Solve 1 = -m*j + d*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8047*r. Let u(s) = -229*s. Calculate u(z(n)).\nAnswer: -1842763*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (2 + -12 + 3). Let g = 4 - 12. Let v = g + h. Solve 5 - v = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = l. Solve 0 = l*f + 3*h + h - 10, 7 = f + 4*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 - 77. What is the greatest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -1387, -2947, -4951, -7297?\nAnswer: -9883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4297.08533 to the nearest 10.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.044, 183, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086 - 1221246.16?\nAnswer: -1221246.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 - 2\/8. Let j = 0.22 - -0.18. What is the nearest to s in 0.2, 5, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3289 is divided by 298.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 7*r**2 - 3*r + 9. Let j = -4 - -9. Suppose 2*z + 19 = 5*h, -3*z + j*h + 14 = 40. Is 15 a factor of t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240 - 204. Suppose r*m - 9*m = 81. Solve -5\/7*x**2 - 3\/7*x**m + 4\/7*x**4 + 3\/7*x + 1\/7 = 0 for x.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/16 and 107\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -253 - -252.9. Let r = -123\/7 + 17. What is the nearest to j in r, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 48\/(-6)*400\/(-64).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -22*l + 108. Calculate u(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 103*j**2 - 11*j + 1. Give u(1).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30111663 - 0?\nAnswer: 0.30111663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -8*d**2 - 410*d - 5000 = 0?\nAnswer: -125\/4, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 136*w - 850. What is h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.149125 - -0.161325. Let n = i - -14. What is n rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 8*x + 1. What is the tens digit of y(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -672 + 629. Is -208\/5 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*z + 5*l, -1246929*l + 1246926*l + 8 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 15*o + 16. Determine r(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1331)*2 - (3 + sqrt(1331) + 1))**2 - (-6*(sqrt(11) + (sqrt(44)\/sqrt(4))**2 + -5) + 0 + (sqrt(176) + 1)**2).\nAnswer: -90*sqrt(11) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 18\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.2113?\nAnswer: 0.6339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/79? (a) -22\/7 (b) -4 (c) -0.5 (d) -2\/11 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 729, 6472, 22065, 52434, 102505?\n\"Answer: 821*x**3 - x**2 - x - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113594961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 18 = 5*t - 4*w, 0 = -2*t + w - 13. List the prime factors of t\/(-9)*6*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*g + 5*s, 0 = -5*g + 5*s + 3 + 72. What is the remainder when 32 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 45 - (2 + -1 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 80, 92, 104, 116?\n\"Answer: 12*n + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-399)\/(-27) + 2\/9. Let o(w) = 28*w - 583. Let p be o(21). Find the first derivative of -t - 1 + p + 2*k**3 wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 37*r - 11647995 = -3*q - 11647974, 0 = 3*r + 3*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*i + 589*i + 4 + 1737*i to the form y*i + l and give y.\nAnswer: 2203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*o - 2*o + 57, -2*o + 45 = 5*f. Suppose 5 = -m + o. What is the highest common divisor of 25 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2. Let p(b) = 2*b**2. Let m be p(1). Suppose 2 = 2*k, 7*n - 11*n + 32 = 4*k. Let s(g) = -4*g**2 + 9*g**2 - n*g**m. Give s(x(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8757*o + 17529*o - 4920*o)*(-o**2 + 3*o + 1 - o**2 - o) to the form j*o + h*o**2 + n + z*o**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130464 and 15704?\nAnswer: 1696032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -2\/47, 204?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24 and -803383.\nAnswer: -803407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 15 = -71. Let n be ((-6)\/q)\/(54\/(-32)). Which is the second smallest value? (a) -3\/2 (b) 2\/15 (c) n (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6623159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 44*t**3 + 132*t**2 - 20*t - 200.\nAnswer: 4*(t - 5)**2*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juzjjjewfjzweejee. Give prob of picking 1 e, 1 u, and 1 z.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x**2 - x + 2. Let z be q(0). Suppose 0*h = -h + 7. Suppose -z*v + 1 = -h. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7600657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 243.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001 + -1010010100101010000?\nAnswer: -1010010101011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239114271?\nAnswer: 3, 11, 43, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/8 + 15*n**4\/8 + 15*n**3\/2 - 454*n. What is s in v(s) = 0?\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -19, 0, 1, -5\/1054?\nAnswer: -5\/1054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*a - 3*w + 5*w, -2*w - 22 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(16\/3)\/f)*f**2*f)**(-6) assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1050, 2103, 3156, 4209, 5262, 6315?\nAnswer: 7368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 7*f**2 - 22*f - 1. What is j(8)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44954803, -89909608, -134864413?\n\"Answer: -44954805*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1754 and 0.9?\nAnswer: 1578.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24167015 and 3628?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*c + 554 - 146 = 0, -5*s + 486 = -c. Let z = s + -54. Calculate the remainder when z is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4792508.\nAnswer: 2, 7, 171161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**5*(o*o*o*o*o**(4\/7)\/o*o*o)\/o*o)**(-9)*o**4*o**0*o*(o**(-2\/7)\/o*o)**(2\/19) assuming o is positive.\nAnswer: o**(-13190\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, -3, 15, -342 in descending order.\nAnswer: 15, -3, -225, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9307 + -2ca?\nAnswer: -9604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*n - c + 22, c + 7 = -n. Let i be 60\/n*1\/(-5). Let h be (-4 - -2) + -1 - 1. Put -1\/2, i, h in decreasing order.\nAnswer: i, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 522271 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -170\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34965 + 12?\nAnswer: 34977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30088 times 0.03\nAnswer: -902.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -381 in 8, -53, -4, 0.3, -0.1?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 243*a**2 - 240*a + 484.\nAnswer: -(a - 1)*(a + 2)*(a + 242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 68*g**2 + 11*g + 11. Let a(n) = 4*n. Determine a(s(c)).\nAnswer: 272*c**2 + 44*c + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*67989.\nAnswer: -339945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)*-4*1)\/sqrt(9))\/((sqrt(15)*2 - sqrt(15))\/sqrt(3) + 1*sqrt(405)).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6543, 26195, 58953, 104817?\n\"Answer: 6553*c**2 - 7*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5*w + 12058301*d**4 - 3*d**3*y + 4*d**2*w - 192177*d**2 + 12*w*y wrt d?\nAnswer: 60*d**2*w + 289399224*d - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/9)*a)*(a\/(((a*a\/a**1)\/a)\/a))\/a)\/(a**(-5\/2)*a**7)*(a**(-3)*a**(-3))**(1\/3) assuming a is positive.\nAnswer: a**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9597 - 9597 - 45765*b**2.\nAnswer: -45765*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 + 810*g - 12214. Give q(118).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8195*w - 2. Let k(s) = 306706009*s - 74853. Determine 2*k(a) - 74853*x(a).\nAnswer: -8317*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4*y - 8 = 0, 2*v + 9 = y + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4148 or 568464\/137?\nAnswer: 4148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) + 792\/48. Suppose -f*y + 2211 = 371. Let m = 108 - 62. Calculate the highest common factor of m and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -19)*(-4)\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, -23, -46, -69, -92, -115?\n\"Answer: -23*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.99 - -0.01. Which is the third biggest value? (a) -3 (b) r (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-10)*55\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.81202 - 8074960?\nAnswer: -8074936.18798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23572, -23623, -23674, -23725, -23776?\nAnswer: -23827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*b**3 - 5*b**3 + 19*b**3 - 9*b**3 - 62*b**2 in the form d*b + s*b**2 + a + l*b**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 61014760 to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = 26. Suppose a*g - 66 = 26. Solve -g = -3*f - p - 6, f - p = 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45\/16 + 37\/16. Put -0.2, -0.3, -0.4, c in increasing order.\nAnswer: c, -0.4, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**1\/l)\/l*l))**(11\/4)\/((l**26*l)\/l*l**(7\/3)) assuming l is positive.\nAnswer: l**(-307\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f - 9 = 0. What is the remainder when 6 is divided by -1 - (-15)\/(f\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - -20002003?\nAnswer: 20002133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 66436?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 713009 to the power of 1\/2, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 4*q - 7. Let l be v(6). Let f(p) = 2*p - 23. Let w be f(12). Let m be 6\/(-2) + l + w. Solve 0 = -m*h + x, -3*h - 2*x = -5*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1927, -0.2, 0, 0.42, 187 in ascending order.\nAnswer: -3\/7, -0.2, 0, 0.42, 187, 1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*c + 10, 0 = -2*b - 2*c + 2. Solve 0 = -8*u + b*u + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:22 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2142578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, -16, -15\/2, -56, 2, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 447245599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 28\/2167 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39824 is divided by 19291?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116 - 125) + (19 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-20) - (-8)\/(-30). Let k = -5 - -21. Let m = k - 16. Are s and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvvzzvzzv. What is prob of sequence zv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11133387 divided by 9.\nAnswer: -1237043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 9*y**2\/2 - 4*y + 18. Let c(r) = 8*r - 3. Calculate -2*a(o) + 3*c(o).\nAnswer: 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 - 1635*s**3 - 4887*s**2 - 4881*s - 1626 = 0 for s.\nAnswer: -542, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1315964, 0, -3, 2 in descending order.\nAnswer: 2, 0, -3, -1315964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*g**2 + 19\/2*g**3 + 9*g**4 + 0 + 0*g = 0. What is g?\nAnswer: -1, -1\/18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -15*h**2. Let w(q) = 733*q**2. Give m(w(b)).\nAnswer: -8059335*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4820331799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*x = -i - 1, -19 = 31*i - 42*i + 5*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 plus 1?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12581, -25155, -37727, -50297, -62865, -75431?\n\"Answer: g**2 - 12577*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = s + 36027, -6*s + 2*s - 4*y - 144148 = 0. Is (s\/(-9))\/((-18)\/(-27)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 3. Let v be y(-8). Let d = v - 8. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 46390 = -432846. Suppose 3*u + 8053 - c = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let s(x) = 38*x. What is s(d(t))?\nAnswer: 152*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(3 + sqrt(192) + -1 + -2 + sqrt(192) + (sqrt(192) - (sqrt(192) - (sqrt(192) + 1)**2))).\nAnswer: -1930 - 320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + -3 + 4 + 203 + -228.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -10. Let s = h + 10. Suppose j + 2*j = s*r + 9, 0 = -3*j + 2*r + 12. Solve -4*q + 2 + j = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 15. Determine n(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60035444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 2. Give x(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95997458.\nAnswer: 2, 47998729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 6*h**2 - 8*h + 2. Let p be f(-6). Let v = p - 247\/5. Let r be 2\/(-35) + 876\/1022. What is the nearest to 1 in r, 0, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-109)\/(-2)*(39 + 3 - 4). Let p = k - 1032. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 193*q + 247. Let x(r) = 2*r**2 - 218*r - 248. Let y(s) = -4*j(s) - 3*x(s). Factor y(v).\nAnswer: 2*(v - 61)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157387001 plus 4?\nAnswer: -157386997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1937, 3731, 5351, 6767, 7949, 8867?\nAnswer: 9491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 7. Let l be ((-9)\/(-4))\/((-6)\/32). List the prime factors of p(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/16)\/(2\/(-8)). Suppose -a + 12 = w*a. Suppose 2*x = x + a. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 12*x = 28. Solve -v = 3*v - x*q, 2*v - 4*q + 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2379 divided by -1285\nAnswer: 2379\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(76)*1)**2 + sqrt(76))*-2.\nAnswer: -304 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 4) in base 12?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 9. Let p(b) = -b**3 + 9*b**2 - 12*b - 9. Let j be p(7). Let i(t) = j*t - 5*t + 2*t - 4*t. What is q(i(r))?\nAnswer: 4*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2438 and -16884242?\nAnswer: 16886680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 25*z**4\/24 + 23*z**3\/3 - 48*z**2 + 3*z - 4. Let j(w) be the first derivative of a(w). Differentiate j(s) wrt s.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99228792 by -33076264.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -47\/4840441 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -334 + 1427. What are the prime factors of d?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + -0.2. Let f = 606.93 - 605.93. What is the nearest to f in d, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1365, 1803 in descending order.\nAnswer: 1803, -1, -1365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-4))\/((-3)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)\/(z*z**6))\/(z**(-1\/4))**(-1\/5))**(10\/7) assuming z is positive.\nAnswer: z**(-137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + -82. Let z = k + 119. Let 8*v**3 + 16*v**2 + 24 - z - 4*v - 8 - 8*v**4 - 4*v**5 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - -66. Let g = -107.04 + j. Let o = -1.7 + 0.7. Sort o, 5, g in descending order.\nAnswer: 5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -1 + (65 - 52).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109850451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + (-4 - (4 + -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 336 + 501 = 0. Let h = x + -92. Calculate the lowest common multiple of h and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(1\/((-4)\/(-8))). Let w(a) = v*a - a - 12*a + 6*a. Let g(b) = -b + 1. Give -g(y) + w(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159577\/1515 + 316\/3. Let a = s + 2827\/505. What is the common denominator of a and 5\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/1485)\/((-15)\/5*(-4)\/180)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and (9\/((-378)\/(-12)))\/(1\/21)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*k - 32 = -83*k. Let r be (k\/(-12))\/((-12)\/(-54)). What is the common denominator of -43\/40 and (65\/(-2))\/(r\/(3\/(-2)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314712470?\nAnswer: 2, 5, 47, 71, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 24*z - 307. Determine w(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m**2 - 6*m**3 + 5*m**3 - 3*m**2 + 3 - 14*m. Let q be -21*(-8)\/(-36)*3. Let f be h(q). Solve 5*z = -g - 22, 2*g - 2*z = f*g + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - 4*o**2 - 2*o**2 + (4*o**2 + 0*o**2 + 0*o**2)*(-1 + 4 + 1)*(1 + 3 - 1) + 3*o**2 - 2*o + 2*o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:08 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-five halves of a second?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 6020*z**3 - 5487*z**2.\nAnswer: 60*z**2 - 36120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 267 + -266.94. Which is the nearest to -1\/2? (a) 3 (b) 2\/9 (c) l (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52217 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/8 and -101\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 25*o. Let u(j) be the third derivative of j**5\/30 - 4555*j**2. Determine r(u(v)).\nAnswer: -4*v**4 - 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 0.3, -4631, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -7*w**3\/3 - 7*w**2\/2 - 6*w - 2680. Calculate b(-4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 9. Let n(k) = -7. Let h(p) = 3*n(p) - v(p). Give h(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53461 + 53462. Let f be (-10)\/(-6) - (5 - 4). What is the third biggest value in y, f, 7, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -3.9. Let t = 7 - 4. Let l = -3.3 + t. Which is the closest to -0.1? (a) 1 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 1, a: 1, k: 3, n: 4}. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*s = 42*s + 1220 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 80772300.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7047 and 2813.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 176*i + 339. Let d be a(86). Sort -3, 3, d, -14 in decreasing order.\nAnswer: 3, -3, d, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 709 or 712?\nAnswer: 712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -40700 less than 9?\nAnswer: 40709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*v + 31*v - 4*v. Which is smaller: v or 50\/97?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*x - 3*q + 9 = 0, -3*q + 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, -2\/3, -5, 62 in decreasing order.\nAnswer: 62, -1\/5, -2\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158 and 3318?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -0.484?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*(f**(-31)\/f*f)\/f*f))*f\/(f**(-3\/11)\/f)*f)**14)**(-36) assuming f is positive.\nAnswer: f**(148176\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/6*(-22)\/(-220). Let k = 9.15 + -0.15. Let t = k + -5. What is the closest to t in 1\/3, -5, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 8:13 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/2)\/18)\/((-7)\/(-28)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/176, 6\/7, -0.5, 12?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 38*r - 4. Let o(h) = -19*h + 2. Determine -6*l(m) - 11*o(m).\nAnswer: -19*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (3 + -19)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 157705*z - 32171812. What is y(204)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345.104 rounded to the nearest integer?\nAnswer: -1345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1411 = 7*s - 1509. Suppose 5*i + 5*d - 65 = 0, 0 = -4*i - 0*i - 2*d + 60. Do i and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/30 + 3*m**5\/10 + 9*m**2 + 13*m. Differentiate z(h) with respect to h.\nAnswer: 4*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/4 + 2*n**3\/3 + 4*n + 2. Let v be z(-3). Let q = 6 + v. Solve q = k + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 26 + 21 = 31*p. Put 241, p, 1 in descending order.\nAnswer: 241, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8. Let h be 136\/(-28) + 4 - (-2)\/(-14). Let q(v) = -v - 1. Let n(z) = h*q(z) - r(z). Let t be n(-8). Solve 5*f + t = 4*i - 0, 2*i - 5 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.1212186.\nAnswer: 0.2424372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 370704401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(1900) + -2 - (1 + sqrt(1900) + 1 + sqrt(1900)))**2.\nAnswer: -5727 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*y + 5*v, 0 = 29*v - 34*v + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(3\/2))\/h)**(2\/27)\/(h*((h\/h**15)\/h)\/h*h**(-1\/4)) assuming h is positive.\nAnswer: h**(553\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 2*s**4 - 2*s**4)*(-2 + 1 + 0) + 2*s**4 + s**4 - 4*s**4 + (-5*s + 0*s + 3*s)*(80*s**3 - 1658 + 1658).\nAnswer: -159*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*v)*(-3 + 2 + 0) + 194 + 37*v - 194 as y + k*v and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(-2*sqrt(12))*-2 + 2)**2 - (sqrt(396) + sqrt(396) + 1 + sqrt(396) + (sqrt(44)\/(sqrt(16)\/sqrt(4)))**2)*4.\nAnswer: -68*sqrt(11) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 26, 47, 94, 179?\n\"Answer: 2*a**3 - 5*a**2 + 8*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8441440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + b?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -288*s - 876. Let a(v) = 283*v + 879. Let b(y) = -3*a(y) - 4*z(y). Differentiate b(p) wrt p.\nAnswer: 303","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82630 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-11))**(-1\/22)\/(f**(-2\/5))**(-20) assuming f is positive.\nAnswer: f**(-94\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-2) + (-3 - -6). Suppose -2*h + 17 = -v. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 2127434*g - 4254867. What is f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 64080\/(-491280) - 410\/(-2438)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -101*z - 375. What is the lowest common multiple of n(-5) and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/((-44 + 42)\/((-1*2)\/2)). Solve 0 = 8*q - s + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4348\/1657 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 666.6 + 21\nAnswer: 687.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*v - 2*l = -340*v + 10, 3*l = 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3653*l + 64970 = 2382*l - 152290 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51)\/(-119) - (38\/7 - 1). Let b(c) = -14*c**2 - 16*c + 5. Let w(a) = 5*a**2 + 5*a - 2. Let z(k) = g*b(k) - 11*w(k). Determine z(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqooqqqyyoqlyyo. Give prob of picking 1 l and 2 y.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, r: 4}. What is prob of sequence nrn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1075*x - 9570. Let s be y(9). Solve s = 111*v + 438 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143155 (base 8) in base 7?\nAnswer: 301045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 divided by 325?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -58 + (-7 + -12 - -28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(5))*-2 + (1 + sqrt(125) + sqrt(125) + sqrt(125) - sqrt(5))**2.\nAnswer: 22*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 13, 8, -2, 1 in descending order.\nAnswer: 13, 12, 8, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + (-10 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 6 + 13)*(y + 0*y + y)*(-1 + 1 + 2).\nAnswer: -84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 10*o + 12)*(-237 - o + 238 - 14*o).\nAnswer: 150*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 294 - -113. What is the remainder when z is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 1:42 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 375\/6 - (-6 + 2 + (-6 - -12)). Which is bigger: z or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1147 is divided by 591?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from zzzzzzyyz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427 = -8*u + 451 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (31\/((99\/(-11))\/(-9)))\/((-11)\/11)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157285*y**4 - y**3 - 27*y**2 - 77*y - 7 wrt y.\nAnswer: 3774840*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 244.8\nAnswer: 293.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, t: 4}. What is prob of sequence tt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 2*h - 3*g - 5 = -0*h, -18712*h - 5*g - 49 = -18714*h - 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.274 + -1.274. Let f = 6 + -12. Let u = f - y. Is -1 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 1 - 1 + 3*x**2 - 2*x**2 + 1. Let l = 0 - 3. Let d = l + 6. What is y(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, -67, -5 in descending order.\nAnswer: 4, -5, -17, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3159, -3136, -3103, -3054, -2983, -2884, -2751?\nAnswer: -2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - a, 2*c - 301 + 273 = 4*a. What is the remainder when 88 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*a + 45. Suppose 0*q - a = -q. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 235 + 509 + 503 in the form g*i + b + z*i**2 and give b.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4 + 75792*m**3 + 682014*m**2 + 1818608*m + 1212384 = 0.\nAnswer: -37887, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -121*z**2 - 122*z - 1941. Let q be c(-141). What is q rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*d**3*u**2*v - 22*c**2*d - c*d**3*u**2 + c*d**2*u**2*v - 10*c*d**2*v + 2*c*d*v - u**2 wrt c.\nAnswer: -2*d**3*u**2*v - 44*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {c: 6, k: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 7*d**2 - 3*d + 7. Suppose -14*n + 9*n = 120. Let p = n - -20. Let g be (-2 - (1 + p))*-6. What is i(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/2*-35*2*(-1484)\/5830\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 42. Let m be 0*(0 + 1 + -2). Suppose m = 3*v - 6*v + 42. Calculate the remainder when d is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (9 - 2 - 6) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + k**4 + 2*k**3 - 3*k**4 + 5*k**4 + 0*k**4 + (3*k**2 - k**2 - k**2)*(0*k**2 - 2*k**2 + 6*k**2) + (0 + 1 - 3)*(-3*k**4 + 2*k**4 + 0*k**4).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -217, -428, -635, -838, -1037, -1232?\n\"Answer: 2*p**2 - 217*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 4)*((3 - 3 + 2)*(-3*x + 4*x - 2*x) - 2*x + 4*x - x - 2*x + 0*x + 0*x + x - 10*x - 4*x).\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -334913 + 178173655\/532. What is the common denominator of r and -97\/14?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 4. Suppose -46 = -3*l - a, 3*a = 2*l - a - 26. Let d be (-1 + l\/6)*2. Suppose -5*t = d*k, -2*k - 5*t + 6 = 1. Give f(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 13. Give n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1428 - -0.0428. Which is the closest to s? (a) 0.3 (b) -21 (c) 5 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 15) to base 6\nAnswer: -2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnxrom. Give prob of sequence xrmo.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 497508 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-6) - -5)*(-4 - 8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2. Let m(q) = 8*q**2. Calculate k(m(b)).\nAnswer: 448*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3269162232 divided by -6?\nAnswer: -544860372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 3*y**2 - y**2)*(5*y + 0*y - 8*y) + y**3 - 3*y**3 - 3*y**3 + 0*y**3 + 2*y**3 + 0*y**3 + (2*y - 2*y - 2*y**3)*(0 - 3 + 1) + 15 + y**3 - 15.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + (-55)\/10)\/(29\/2). Let d = 47 + -47.5. Let m = -15 - -15.4. Which is the biggest value? (a) m (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-10)\/(-15) - 1). What is the second derivative of -1 - 318*s**j - s**4 + 157*s**3 + 161*s**3 + 32*s**2 - 54*s wrt s?\nAnswer: -12*s**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 602\/774 - 2\/2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -68. Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 bigger than 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435139846?\nAnswer: 2, 127, 229, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -4.8. Which is the nearest to 0.1? (a) -0.04 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + ((-120)\/1488)\/(1\/98)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g - 2 - 5*g - 6*g + (2 - 1 + 1)*(-3*g + 0*g + g) - 4*g + 5*g + 0*g to the form m + c*g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2. Let p be (-22)\/(-6) - (-6)\/(-9). Suppose 6 - p = 2*g - s, 2*s + 6 = g. Let x(f) = -5*f + 0 + 6*f + g. What is t(x(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1028, -2049, -3068, -4085, -5100, -6113?\n\"Answer: k**2 - 1024*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 1 k when three letters picked without replacement from {i: 1, x: 7, k: 3, n: 4, u: 2, e: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28979\/60 + 483. Let g(j) be the third derivative of 0*j + 0 + 1\/3*j**4 + 4*j**2 - 7\/6*j**3 - c*j**5. Determine g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236214 = 23952*r - 184061 - 561757 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199044 by -5.\nAnswer: -199044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 672, 678, 686, 696, 708, 722?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3533, -3533, -3537, -3545, -3557?\nAnswer: -3573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73\/2 + -37. Which is the closest to l? (a) -6 (b) 1\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(88)*1*3 - 3*sqrt(88)*-2)*-6)\/((2*sqrt(392) - (sqrt(8) - (1*sqrt(64))\/sqrt(8)))*3).\nAnswer: 54*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 5*l - 1260, 0 = -4*b + 5*l + 1007. Suppose -4*m - 3*o = -b + 46, m - 39 = -5*o. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 8*g + 2 - 4*g - 3 in the form b*g + w*g**3 + f*g**4 + q*g**2 + l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:30 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*v - 18 = 3*n, 3*n - 5*v = -34. Let j = n + 12. Suppose 0*t = -j*t, -2*t + 1 = -u. Which is the second biggest value? (a) u (b) 3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 135*z**2 - 11*z - 89. Is b(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2266, 2276, 2292, 2314, 2342?\nAnswer: 2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:51 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3791, -3797, -3813, -3845, -3899, -3981, -4097?\nAnswer: -4253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-2 + 3 + sqrt(1088))**2 + -1 + (-2*sqrt(119)*-6)\/(sqrt(63)\/(sqrt(9)*2)).\nAnswer: -24*sqrt(17) + 1096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 23*z**2 - 401*z - 806. What is the lowest common multiple of g(-2) and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 52, 69, 86, 103?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 13\/3. Let j(b) be the second derivative of 0 + q*b**3 - 1\/20*b**5 - 1\/6*b**4 + 3\/2*b**2 + 2*b. Give j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 = u. What is the units digit of u\/(3 + -5)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5\/(x**(-7)\/x))\/(x**(-2))**(-13\/6))\/((x\/x**(-7)*x\/(x*x**(-5)\/x))\/(x**(-5)\/(x*x**7))) assuming x is positive.\nAnswer: x**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2564?\nAnswer: 12820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 276405589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 196*r + 13435. Determine z(-69).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 2*o - 2*o**4 + (1 + 2*o**2 - 1)*(0 + 0 - 2*o**2) + 36*o**3 - 16*o**3 - 22*o**3 - 725*o**4.\nAnswer: -731*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:12 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 62*u - 5 + 3.\nAnswer: 62*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*u**5 + 9*u**3 - 25*u + 4*u**4 + 40*u**5 - 4*u**4 wrt u?\nAnswer: -40*u**3 + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-135 - -139 - (4 - -2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151950, 151893, 151840, 151791, 151746, 151705?\nAnswer: 151668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-64)*32*(-9)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79827825 a multiple of 1803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -356.2 - -497.17. Let t = 141 - z. Let m be (4\/6)\/((-7)\/(-3)). What is the smallest value in 3, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 25*u - 2. Let o be v(25). Let q = 345\/1387 + -22\/73. What is the third biggest value in q, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t**2 - 4*t + 959. Is u(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*a + 7880 = -226*a + 6*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1237, 36 in ascending order.\nAnswer: -1237, 36, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnxn when four letters picked without replacement from nnnnxnnnnnx?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1617827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ea1b6 - 5?\nAnswer: -1ea1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 47170 = -4*o, 5*o = 5*c + 22961 + 35984. What are the prime factors of o?\nAnswer: 13, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 689 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26157?\nAnswer: 3, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(-3*h - h + 3*h) + 1 - 1 + 2*h + (h - 1 + 1)*(-6 + 4 + 7).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-12)*o**(-12)*o)**(-21))**(-7\/2) assuming o is positive.\nAnswer: o**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/703910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + n + 4 + 7, -2*n = v + 4. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/6 + 1)*(-8)\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7962422 and 26030995.\nAnswer: 676805870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 1594\/789 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/28 - 668\/(-14). Let b be (-2 - (-7)\/3)\/((-16)\/(-48)). Let s be (b + -2)\/(8\/(-96)). Calculate the highest common divisor of s and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 0 + 6\/5*v**2 - 9\/5*v - 1\/5*v**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1451993494?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 87*o + 59. Let t(m) = 174*m + 129. Calculate 13*g(q) - 6*t(q).\nAnswer: 87*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 7006 - 1311 - 200 - 2518 + 1010.\nAnswer: -u - 10025","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**19\/q)\/(q**26*q)*q**(-37)*q**24 assuming q is positive.\nAnswer: q**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 5*v - 74 = 0, 4*r + 0*v + 26 = 2*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, -415, 5 in decreasing order.\nAnswer: 5, -217, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-612 + -2))*1. Suppose 76*d = 74*d + m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -26\/5*p**2 - 6\/5*p + 4 = 0.\nAnswer: -1, 10\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/18 - ((-30940)\/630 + 109)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 0.2, 1\/7, -10\/13, -0.4 in decreasing order.\nAnswer: 0.2, 1\/7, -0.03, -0.4, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**8\/560 + b**7\/350 + 3*b**6\/100 - 7*b**5\/50 + 11*b**4\/40 - 3*b**3\/10 + 14*b**2 + 5. Factor d(m).\nAnswer: -3*(m - 1)**4*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s + 15. Determine d(-9).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/232 and 5\/64.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24345 and 2553.\nAnswer: -62152785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.1923 + -0.2223. Let z = 12.4 - g. Let t = z - 0.43. Do -2\/5 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/(m\/m**15))**(-7) assuming m is positive.\nAnswer: m**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 239\/9 (b) -2.9 (c) 0.3 (d) -4 (e) 0 (f) 0.05 (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 2*l + 421. Let k be f(0). Let z = -895 - k. Let c = -247 - z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -26.00000216. What is g rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 9 - (2 + (-2 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1686, -86, 12 in descending order.\nAnswer: 12, -86, -1686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d. Suppose 0 = 2*a - a - 2. Let i(g) = -g**2 + 13*g**2 - g**a. Determine i(n(r)).\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/(-18))\/(1\/18). Let j = 34 + n. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 1316*x**6\/15 + 437*x**3\/3 - 40*x - 4. What is the second derivative of z(o) wrt o?\nAnswer: 31584*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5659 is divided by (108\/(-48))\/((-6)\/34*(-1)\/(-12))?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 185, 1\/7, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 546 + 458 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 243. Let b = -156 - i. Which is greater: b or 18\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 + 76572*z**3 - 229689*z**2 = 0. What is z?\nAnswer: 0, 3, 25521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1208, 3838, 8228, 14396, 22360?\nAnswer: 32138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1924698408 from -684.\nAnswer: -1924699092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from {x: 3, m: 4, z: 1, j: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (-4 + -3 - -5 - (-5 - (21 - 20))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) - sqrt(2187)*-2 - sqrt(2187))\/(2*sqrt(36)).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-225)\/21)*42\/147?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-3)\/12). Let z(i) = 7 + 2*i + 2 - 5. Let n(m) = m - 2. Let l(t) = -1. Let g(h) = 5*l(h) - n(h). Give p*z(k) - 3*g(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 11121c?\nAnswer: 111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10)\/((-21)\/(-672)*-24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167098.4 millilitres to litres.\nAnswer: 167.0984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 + l + 2. Let t(h) = 7*h**3 + 506*h - 12. What is -6*j(s) - t(s)?\nAnswer: -s**3 + 6*s**2 - 512*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.521 - 0.521. Sort 2\/17, -1, -0.02, i in decreasing order.\nAnswer: i, 2\/17, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884.21 times 0.24?\nAnswer: -452.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1 - 3 - 2) - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2969 (b) 0.3 (c) -1 (d) -8 (e) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21b9259b - 1?\nAnswer: 21b9259a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2fc2d (base 16) to base 13.\nAnswer: 6b075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -268\/301?\nAnswer: -268\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitrtttl. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*k = -3*k - 241, -325 = 5*x - k. Calculate the remainder when (21\/(-2))\/(12\/x) is divided by (2\/3)\/(-7 + (-401)\/(-57)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 14. Let j be 9 - q - (-1 - -1). Let y(c) = c**2 + 11*c - 1. Let h(v) = 8*v**2 + 53*v - 7. Let t(g) = -h(g) + 5*y(g). Calculate t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 15 - 30. Let v(n) = -n**2 + 16*n + 8. Let g be v(c). Suppose -2*k = -11 - g. What is the remainder when 66 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -20. Let l = -1 - x. Is (-1215)\/(-3) - (l + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l + 0*l + (-4 + 3 + 0)*(2*l - 3 + 3) + (1 - 2 - 2)*(5*l - l - l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3673, 7277, 10881, 14485?\n\"Answer: 3604*n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 317637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-4*(-4)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -8167264.\nAnswer: 2\/255227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 13. Let g = f + 8. Let x(v) = v**2 - 6*v - 5. Let r be x(6). Sort 0, r, g in descending order.\nAnswer: g, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:40 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a minute in seconds?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3*15\/(-1). Let y = 11 - x. Find the third derivative of -p**y - p**2 + p - p wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012 + 102?\nAnswer: -22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 182707370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 23*w + 3. Let d be h(-23). Suppose k + 4*k - 41 = -4*j, 5*j = d*k + 5. Solve j*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -48 (b) -10234 (c) -4\/3 (d) -0.18 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 - (16 - 5) - (0 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-d**5 - 4*d**5 + 4*d**5) + 0*d**5 - 4*d**5 + 0*d**5 + (-15*d**2 - 12*d**2 + 3*d**2)*(19*d**3 + 25*d - 25*d).\nAnswer: -461*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 81, 3 in descending order.\nAnswer: 81, 73, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246\/43 or -5?\nAnswer: -246\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2015037\nAnswer: -1\/671679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10543 + -133?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 9*h**3 - 3*h)*(-4*h + h + h) + (4*h**2 - h**2 - h**2)*(49*h + 42*h**2 - 49*h).\nAnswer: 102*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + 3*72\/224. Let p = 10 - 16. Let d = p - -6. What is the closest to -0.1 in -0.1, i, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-4)\/(32\/(-20)). Suppose 6*d + 2399 = n*d. Let g = 170 - d. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.012 + -0.272. Let k = -4.74 + t. What is the closest to 1\/5 in -0.4, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 10*g + 10*g + 15*g - 6*g = 195, b - 5 = -3*g for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -5. Let g = c - -8.2. Let l = -0.2 + g. Sort -0.5, 4, l.\nAnswer: -0.5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9955, 2\/11, 1\/24, -76 in decreasing order.\nAnswer: 2\/11, 1\/24, -76, -9955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g**2 + 271*g - 1639. What is z(17)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2502 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 688680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/z**2*z*z*(z\/(z\/z**9))\/z*z*z)\/(z*z\/(z*z**(-3\/7))*z*z**(-1)*z*z) assuming z is positive.\nAnswer: z**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -5, -375.9, 0.2, -1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 59 + -10 + -35?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 972 divide 514086930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2117824 divided by 529456.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/5 + 9*c**3\/5 - 27*c**2\/5 + 31*c\/5 - 12\/5 = 0. Calculate c.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/2 - 4829*c**3\/2 - 81439*c**2 + 364420*c = 0. Calculate c.\nAnswer: -4795, -38, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6567720829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15*h**2 + h. Suppose 4*n - 1 - 3 = 0. What is w(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2314 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61496942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 2. Let h be g(-6). Suppose -p - 74 = -6*p + q, h*p = q + 59. What is the remainder when ((-1*54)\/(660\/88))\/((-2)\/15) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 10. Suppose 4*v + 4*h = 364012, 83491 = 3*v + c*h - 189524. What is v rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -0.042702964 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-10))\/(36\/30). Let y be 2*(-3 + 39\/15). Which is the nearest to 2? (a) -0.1 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3480\/(-406)*3*14\/12\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 2*k)*(-2 + 0 + 3)*(-2*k + 4*k - k + (1 - 2 - 1)*(-2*k + 0 + 0) + (-2 + 4 - 3)*(0*k - 6*k + 4*k))*(156 - 156 - 3*k).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p + 0 + 0*p**3 - 1\/20*p**5 + 22*p**2 + 0*p**4. Let y(z) = -3*z**2. Calculate b(y(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 - (-7)\/63. Which is the closest to 2? (a) r (b) -2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -5. Suppose 5*q - k + 27 = 0, -k - 3 = -0*k. Is p smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - 185. Let v = 4 - -11. Let s = d + v. What is the nearest to -1 in s, 4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6340 + -6343. Let w = 12 + -6. What is the nearest to w in 2\/7, 0.1, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p. Suppose 0 = 2*u - 1 - 23. Let q(s) = s**3 - 12*s**2 + 2*s - 15. Let g be q(u). Let o(y) = 14*y + g*y - 22*y. Calculate b(k) + 12*o(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 11:53 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001000100 (base 2) in base 3?\nAnswer: -21211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 19 = -l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -4 - 5) + (0 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - 12185?\nAnswer: -12170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*t - 3 - 12, -3*c + 10 = t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 10*t + 4*x = 4060, -15 = -3*x. Suppose -2*o - t = -3*o - p, -o + 1007 = -2*p. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (5 - 8 - 1) + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzpzpzdzwzz. Give prob of sequence zp.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 - 338. Let q(a) = -540*a. Let u(o) = -11*o. Give p*u(d) + 2*q(d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188365526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfjffjj. Give prob of picking 2 j and 2 f.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b**2 - 23. Let z(s) be the second derivative of 7\/12*s**4 + 0 + 0*s**3 - 6*s**2 + 21*s. Let n(x) = 6*c(x) - 11*z(x). Differentiate n(r) wrt r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 284 in -2\/13, 6\/5, 1\/4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251655394 rounded to the nearest 100000?\nAnswer: 251700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*w + 45 = 0, -15*w = 7*m + 16*w + 10*w - 38*w + 43 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*c = 4, -4*r + 133 - 65 = -5*c. Suppose 68 = 5*q - 227. What is the remainder when q is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55611 - -55836.21. Let k = -224.537 + 0.537. Let q = k + g. What is q rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-43)\/(-94) - (-4)\/(-8). Are 0 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from frdpiidrdlli?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 111773572 divided by -4\nAnswer: -27943393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 675445 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v**2 - v + 1. Let b be g(1). Let m = 12 - b. What are the prime factors of ((-62)\/4)\/m*-2?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b7844 (base 15) to base 6\nAnswer: -233510131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:53 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.7998 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/4 - 3989666*k**2 - 63669755124885*k\/4 - 63669723207561\/2 = 0.\nAnswer: -7979331, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by -1.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/8 + 7*t**3\/8 - 3*t**2\/8 - 19*t\/8 + 7\/4.\nAnswer: (t - 1)**2*(t + 2)*(t + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29263550 to the nearest integer?\nAnswer: 5410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -1543 + 251. Calculate the highest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1)\/(10 - 8 - 1) + 1384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70857, 141370, 211893, 282432, 352993, 423582, 494205, 564868?\nAnswer: 635577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70266 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 + 6*z - 3. Let x be f(5). Let o = -136.8 + 137. Sort -8\/3, x, o in descending order.\nAnswer: x, o, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -2, 136.\nAnswer: -6, -2, 3, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 21 = 45. Let x be 510\/(-60)*(f + -1 + -4). Let y(s) = -11*s**3 - 20*s**2 - 17*s + 9. Let p(o) = 4*o**3 + 7*o**2 + 6*o - 3. Give x*p(w) + 6*y(w).\nAnswer: 2*w**3 - w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3\/9 - 514348*a**2\/9 - a\/9 + 514348\/9 = 0.\nAnswer: -1, 1, 514348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 335\/90968 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = z + 2*f + 9, 5*z = -3*f + 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 4*g + 12 = 0, -4*i = -2*g - 6. Suppose i = 4*l + j - 7, -2*l - 3*j - 3 = -4. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0264 to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1.22.\nAnswer: -0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3315*u**2. Let k(o) = -1133*o**2. Give y(k(a)).\nAnswer: 4255429035*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (105\/(-12))\/(1\/4). Calculate the remainder when 16\/10*a\/(-2) is divided by (-5 + 0)*-3*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10341102 divided by 40713.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:00 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -31*y**5\/10 + 49*y**4\/24 + 3*y**3\/2 - 3*y**2 - 8*y. Find the second derivative of c(o) wrt o.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6137 divided by 6\nAnswer: -6137\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 22?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*m + 816*m + 156*m.\nAnswer: 1341*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1080, -896, -586, -144, 436, 1160, 2034?\nAnswer: 3064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(-4*sqrt(3)*-1 + sqrt(3)))\/((sqrt(32) + -2*sqrt(32))*1))**2.\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000011 (base 2) to base 16.\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534 and 53754754.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 406 and 172?\nAnswer: 34916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 14 = o, -7*k - 2 = -8*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5959 less than -279.1?\nAnswer: -278.5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:12 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 97 + (-8)\/2. Is r less than or equal to 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96823 - 112626 = -9*m + 95849. List the prime factors of m.\nAnswer: 2, 7, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 272155268 or 0?\nAnswer: 272155268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (-3)\/(-6))*960\/36. Calculate the highest common divisor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.031, -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3826173 divided by 131937\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.49 - 83.49. Let g = n + 46. Let i = g - -35. Which is the closest to 0.1? (a) -9 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12156878 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2657\/12078 - -3\/1342. What is the third smallest value in 5, x, -59, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63519\/5584 + 1\/5584. Let l = -2594 + 36299\/14. Find the common denominator of l and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 30*z**2. Let y(m) = 30*m**2. Let a = 12791 + -12786. Determine a*v(t) - 4*y(t).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - 4\/(-6)*6. What is the biggest value in y, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858 - 99 - 7723 = -605*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v. Let d be -1*(-2 + v + 1). Let f be ((-2)\/1)\/(-24)*9. Which is the closest to d? (a) 2\/3 (b) f (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/368 and 5\/687.\nAnswer: 252816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22423 + 1441?\nAnswer: 24414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 9*m + 12. Let k be p(-10). What is the third derivative of -10*g**2 - 4*g**3 + 17*g**3 + 4*g**k wrt g?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 1\/16*o**6 - 23*o**2 + 5\/12*o**4 + 0*o**3 + 0 + 0*o - 5\/96*o**8 + 4\/21*o**7 - 2\/3*o**5. Find g such that m(g) = 0.\nAnswer: -1, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9824760?\nAnswer: 2, 3, 5, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 12*a**2 + 15*a - 61. What is the tens digit of r(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (-1 - 0))\/(1568\/(-112)). Which is the nearest to -9? (a) -28 (b) -2\/11 (c) -4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/26)\/((g*((g\/(g*g\/(g**(-2)\/g)))\/g)\/g)\/g))\/(g\/g**5)**45)**(-5\/2) assuming g is positive.\nAnswer: g**(-24185\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 14*n - 4. Calculate u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {b: 7, x: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 4 + 4 + (-1 + 1 - 2*s)*(-s - 2*s + 5*s))*(257*s**2 + 2889*s**2 - 1124*s**2)*(-4 + 4 - 2).\nAnswer: 20220*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95908 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u - 7*u - 10*u)*(-2*u**3 - 3*u**3 + 7*u**3) + (55 + 18*u**2 - 55)*(-u**2 + u**2 + 2*u**2).\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 2556534022?\nAnswer: 2556534020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 a when three letters picked without replacement from raeesag?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -18. Sort 0.4, x, -0.3 in ascending order.\nAnswer: -0.3, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 11:15 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {p: 5, v: 2, h: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/391501 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2262)\/(-52)*2*1\/3. Differentiate -25*b - i*b - 60 + 19*b with respect to b.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1015\/4 - -258. What is the nearest to -1 in -4\/5, -1, -5\/8, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**8\/48 + y**5\/60 + 4*y**2. What is the third derivative of g(l) wrt l?\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 27056.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 769203?\nAnswer: 38460.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-8) - 24\/96. Suppose -4*b - 5*r - 29 = 0, -a = -3*b + 3*r + 9. Are b and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/91 and -11\/326963.\nAnswer: 326963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -67625.\nAnswer: -67610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i + 345. Let v = 71 - i. Suppose 35 + 161 = v*t. Calculate the greatest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2234091\/(-188136) + (1 - 1). Let r be (-1 - (-51)\/54)\/((-871)\/(-2)). Let f = r + g. What is the common denominator of f and 41\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 24*t - 12 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -8, -28, -58, -98, -148, -208?\n\"Answer: -5*j**2 + 5*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 7 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 55*z - 3*z**3 - 61*z**2 - 14*z**3 + 32*z + 22*z to the form a*z**3 + g*z**2 + m*z + h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyyy when four letters picked without replacement from {n: 3, y: 15}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 18*g = -30*g + 36, 2*s + 8*g - 22 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 292\/(-6) + -4. Which is smaller: b or -58?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 + 124*k\/11 + 1922\/11.\nAnswer: 2*(k + 31)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4465 + -4468. Let a(g) = -2*g**2 + 2*g + 21. Calculate a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2031002 (base 5) in base 3?\nAnswer: 1200121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j*j\/(j**(2\/51)\/j))*j**8*(j*j**(-5\/6))\/(j**(1\/3)*j) assuming j is positive.\nAnswer: j**(599\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, d: 6, a: 3, b: 3, t: 2}. What is prob of sequence tdo?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 976\/(-32) - ((0 - 7) + 450\/100)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20591)\/(-10) + (-20)\/200 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 6*w + 243 - 225 = 3*w, -2*a = -2*w - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -271 + 867. Suppose 0 = -5*c, -u + c + s = 4*c. Suppose -3*a + u = a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3020c3 (base 14) to base 13\nAnswer: 448c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1266399\nAnswer: -1\/422133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*p - 303*p + 935 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 276073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 261*w**2 - 3*w**4 + w**3 - 259*w**2 + 0*w**4 + 2*w to the form m + d*w**2 + n*w**3 + k*w**4 + i*w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchjhhhkkojhjkcjcj. Give prob of picking 3 h and 1 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28797516 and 484?\nAnswer: 28797516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-30)*2\/(-8)*0. Put 156, -3, s in increasing order.\nAnswer: -3, s, 156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**9\/168 + i**6\/120 - 3*i**3\/2 + 3*i**2. Let s(h) be the first derivative of m(h). Find the third derivative of s(o) wrt o.\nAnswer: -1080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + (-9 - -3 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**5\/8 + 23283*n**4\/8 - 93189*n**3\/8 - 69831*n**2\/8 + 209655*n\/4 = 0.\nAnswer: -7765, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 240. Suppose 3*j + a - 47 = 0, 4*a + 37 = 4*j - j. What is the greatest common divisor of j and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-21))\/((-2)\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 416 + -411.93. Let v = -4.07 + p. Which is the nearest to v? (a) -5\/2 (b) -4 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 9) in base 7?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1931 + 2902. Does 114 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2880728?\nAnswer: 2, 360091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 4, 30, -14, 25 in ascending order.\nAnswer: -14, -11, -4, 4, 25, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-3*g**2 + 3*g**2 + g**2 + (0*g + g + 0*g)*(0 + 0 + g) + 0 - g**2 + 0)*(2*g**2 + g**2 - 2*g**2).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j - 184 = -84*j. Calculate the smallest common multiple of j and 236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3330*j = 3024*j - 1881*j + 2060*j - 65330 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2 + (3 + 3 - 5)*(-2 + 18 - 9))*((2 - 2 + 4)*(s - s + s**4) + 0 + 0 - 3*s**4 + (1 + s - 1)*(s**3 - s**2 + s**2)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*p - 4278 - 10960 = -883 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, 85?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccacczafnzac. Give prob of sequence zfc.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aap when three letters picked without replacement from wzzzpazzpzwzzzazzzz.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395901691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993335 is divided by 657?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-10))\/((-2)\/292). Suppose -42 + z = 3*t. Suppose 2*n = -3*x + 30, -5*n - 23 = 3*x - 98. What is the remainder when t is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -978*n**3 + 3*n - 4392?\nAnswer: -2934*n**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 3*b**2)*(-2*b - 3 + 3) + (2*b + b - 4*b)*(3 - 3 + b**2) + (6*b + 18 - 18)*(5 - 5 - 3*b)*(-4*b + 2*b + 0*b).\nAnswer: 41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/12)\/(((-48)\/4)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwwddmwpddddwfwddp. Give prob of sequence pfm.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/8 - 3828*k**3 - 45933*k**2\/4 - 11483*k - 30621\/8.\nAnswer: -(k + 1)**3*(k + 30621)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -224*o - 1584. Determine n(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -5707145.\nAnswer: 1\/5707145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -2 - 48*k**2 + 0*k + 0*k**3 + 53\/24*k**4 - 13\/30*k**5. What is the second derivative of t(i) wrt i?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 78 = 18*l - 15*l, -125 = 5*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.31 - -2.01. Let z = -3.337 - f. Round z to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -42. Let b = v - 24.4. What is the closest to -0.6 in b, 4, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3067028?\nAnswer: 2, 766757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r + r - r + 4*r**2. Let w(t) be the first derivative of -2*t**3\/3 - 6. What is v(w(j))?\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-936)\/48)\/(4\/(96\/36))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 + 10*t + 1. Calculate x(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 929*u**3\/3 + 1350*u**2 + 11612. Find the second derivative of m(v) wrt v.\nAnswer: 1858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpzb when four letters picked without replacement from {z: 2, b: 3, m: 9, o: 2, p: 3}?\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3767*k + 3794*k = 378 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*-2*3\/(-18). Let b be (z\/2)\/((-3)\/(-24)). Let y(h) = -h**3 - 3*h**2 + 2*h - 5. List the prime factors of y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*n - 4*n**2 + 3*n**2 + 18*n - 56*n to the form k + t*n**2 + a*n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 3) to base 13.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 721188 and 341757.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9716840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1129.8 + 135.6. What is k rounded to the nearest ten?\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, x: 1, f: 1, h: 5, t: 4}. Give prob of sequence fbxt.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-78)\/(-9))\/(64\/(-48))*-556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 974*g**4*s - 4*g**3 - 477*g*s + 13578*s - 26 wrt g?\nAnswer: 3896*g**3*s - 12*g**2 - 477*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3504734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4839.\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1503108 + 1505*z + 1503108.\nAnswer: 1505*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2743 divided by -1206.\nAnswer: -2743\/1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - z**2 - 5*z**2)*(0 + 0 - 2)*(-25 - 34 + 4).\nAnswer: -330*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4891, 9759, 14627, 19495, 24363?\nAnswer: 29231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 + 94. Put -2\/19, j, 4\/5, -15 in increasing order.\nAnswer: -15, -2\/19, 4\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-3\/7)*t)*t)**(2\/7)\/(t\/t**4)**(-22))**(-1\/4) assuming t is positive.\nAnswer: t**(1607\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*k, q - 4*k = 8. What is the least common multiple of q and 644\/(-8)*58\/(-203) - -9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27209.369*-5\nAnswer: 136046.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 9. Suppose -n = 4*f + 108. Let a = -19 - f. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 - 8)*(3*v**3 - v**3 - 3*v + 2*v + (0*v - v + 2*v)*(-6*v**2 + 3*v**2 + v**2) + (0*v**2 + 2*v**2 + v**2)*(0*v - v + 3*v)).\nAnswer: -84*v**3 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -4*c + 23. Suppose 3*n + 6 - 45 = -4*d, 2*d = n - 3. Calculate the greatest common divisor of c and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(121) - (sqrt(121) - (sqrt(121) - sqrt(121)*-1*-2) - sqrt(121))) + sqrt(121))*2)\/(-4*((sqrt(44)\/sqrt(2))\/sqrt(2) - (-1*sqrt(66))\/sqrt(6))).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -4*y**2 + 12*y + 4. What is the first derivative of l(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 5, -6, -35, -88, -171?\n\"Answer: -k**3 + 8*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 20*s - 9. Let q be t(-21). Suppose 0 = 5*h + 2*x - 195, 2*h + q*x - 14*x = 64. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/42)\/((-2)\/(-10))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 813, 6135, 20613, 48831, 95373, 164823, 261765, 390783?\n\"Answer: 764*a**3 - 6*a**2 - 8*a + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 8:36 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a359 (base 16) to base 7.\nAnswer: -232626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 18*d**3 + 20*d**2 + 6*d. Let i(b) = 18*b**3 + 19*b**2 + 5*b. Let g(q) = -6*i(q) + 5*u(q). What is the third derivative of g(a) wrt a?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5\/3 - 12*b**4 + 704*b**3\/3 - 1030*b**2 + 1169*b\/3 + 1666 = 0.\nAnswer: -51, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2654 + 2245285\/846. What is the common denominator of 83\/30 and q?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 5*p - m - 2*m, 3*m = -2*p + 61. Calculate the remainder when 137 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2629 divided by -15.\nAnswer: -2629\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c - 756. Let t be q(108). Let a = 15 - 8. Suppose 0 = -t*x - a*x. Solve 2*g + x*g - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) 4 (c) 822 (d) 1\/3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**4 + x**3 + x**2 - x + 2. Let u(y) = -8*y**4 - 4*y**3 - 5*y**2 + 9*y - 18. Let v = -755 + 791. Let b(w) = v*p(w) + 4*u(w). Solve b(o) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 + 253?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5656 - -5687. Which is the closest to -1? (a) 1\/4 (b) -0.1 (c) h (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5219 is divided by 711.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 7*x)*(-2*x**2 + 6*x**2 + 0*x**2) - 16*x**3 + 75*x**3 + 61*x**3.\nAnswer: 148*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 2514140?\nAnswer: 2514143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 25 - 14*y - 9 to r + a*y and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrggrg. Give prob of sequence rg.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x + 12. Calculate t(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -55379446 at least -55379446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*f - 310 + 300, 5*i - 83 = -11*f + i for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)*((s**7\/s)\/s)\/s*s*s)\/(s**(1\/6)\/s**0))\/(((s*s**(-3\/10))\/((s*s\/(s*s**(-1)\/s*s))\/s))\/(s**(1\/4))**(2\/9)) assuming s is positive.\nAnswer: s**(287\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-4)*(-2 - 24\/(-10)). Calculate the lowest common multiple of (-1)\/(-4) + 165\/12 and 70\/6 - ((-4)\/m - -1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50342551 (base 6) in base 12?\nAnswer: -58aa57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1411, 1378, 1321, 1240, 1135, 1006, 853?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 48. Calculate the remainder when 7 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1597985 - -2.3?\nAnswer: -1597982.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -15*q - 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2414879 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 7 = -k. Let y = 12 - k. What is the units digit of -11*1*y\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636127 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19895422 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-57)\/38)\/(3\/(-86)). Solve -11 + n = -16*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 259 and 222?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-632)\/2686)\/(210\/(-1071))*1*5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 767*(4\/36)\/1. Let z = h - 85. Which is the closest to z? (a) 2\/15 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x - 8. Let v = -8 - -11. Let g be m(v). Let u = g - -19. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -3*q. Suppose 3*r + 7 = m, -2*r + 14 = -0*r + q*m. Is r > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 = -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97, 693, 2339, 5569, 10917, 18917, 30103, 45009?\n\"Answer: 89*m**3 - 9*m**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -16. Let z(i) = -i**2 + 7*i + 11. Let s be z(8). Calculate the highest common divisor of s and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.253637 to 3 decimal places.\nAnswer: -1.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40\/187 or -134\/3?\nAnswer: 40\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (169 - 149)\/((3 + -2)\/(11\/(-33)))\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 16*q + 17*q - 3*q.\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 26*i + 210. What is the tens digit of a(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 27432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*f + 12 = 4*t - 89*f, 3 = t + 5*f. Solve t*s - 525 = -537 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 6*p**2 + 3. Let r be d(-3). Suppose -2*l + 8 = r*b - 8, 3*l = b + 2. Solve b*x = -28 + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388614 greater than 388614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -312 - -125. Let d = a - -197. What is the nearest to -1\/2 in d, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-379 - 393 + 4*n + 9*n - 16*n)*(1 - 34*n**2 - 1) as t + y*n**3 + s*n + v*n**2 and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238432707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by 725?\nAnswer: -101\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*g - 160 = 600*g. Put g, -0.9, 5 in descending order.\nAnswer: g, 5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*z + 80 = -4*r, -z + 14 = 5*r. Calculate the remainder when 128 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.689 - -0.011. Round j to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 6.1, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -125 + 197. Let f be ((-8)\/140)\/(k\/(-60)*3). What is the closest to f in -2\/13, -5, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -630 - -635. Let x(i) be the third derivative of 1\/60*i**4 + 1\/300*i**q + 0 - 7*i**2 + 1\/30*i**3 + 0*i. Factor x(s).\nAnswer: (s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2 (b) 1.1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-106)\/(-9) - (-4)\/18. Let t be (-48 - 0)*(-16)\/48. Let b = t - o. Solve -b*f = -3*q, 4*q + 10 = -2*f + 3*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 0*j = 105 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**5\/20 - x**4\/12 + 13*x**3\/6 + 2*x**2 + 59*x - 39. Determine d(6).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**6\/120 + l**4\/12 + l**2. Let s be q(-4). Suppose -2*r - r = -2*n + s, -2*n + 58 = -4*r. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1251 (base 8) to base 5.\nAnswer: -10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 506 + 1351 = 905 + 843 for o.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {d: 7, z: 3, i: 6, b: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 31*h**2 - 5. Let k = -25 + 21. Is m(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -171 * -24.\nAnswer: 4104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -77, -182, -329, -518, -749, -1022?\n\"Answer: -21*r**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 divided by 25?\nAnswer: -224\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -132 - -43?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*d + 1 - 2)*(-2 + 5*d + 2)*(1 - 1 + 3*d) as r + v*d**3 + q*d**2 + o*d and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 32. Let s(r) = 7*r**2 + 3*r + 20. Does 15 divide s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8155*y**2 + 14560*y**2 + 2 + 5825*y**2 to z + a*y + d*y**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-13*(-41)\/22919)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 152652.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3690 + 4439. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69180 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 6*f**2 - 7*f**2 - 24*f - 3 - 2*f**2 - 46 + 109 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 138.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 - 121. Solve -6 = j - u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3861195, 3861217, 3861243, 3861267, 3861283, 3861285?\nAnswer: 3861267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r - 480. Let c be o(-54). Solve i = -j, -7*j + i + c = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -15. Let d(b) = b**3 - 8*b**2 - 3*b + 2. Let a be d(8). Let h = c + a. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let f be (-3 - 0)\/((10 - 9)*-1). Let p(k) = -k**2 - 7*k - 6. Let u be p(-5). Let m(l) = -l + 0*l**2 + 2*l**2 + u*l. Determine f*h(s) - m(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g - 3. Let r(f) = 1. Let u(k) = -a(k) - 4*r(k). Let j be (-1)\/(-3) - (-4)\/6. What is the units digit of u(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by 6.\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103549302 - 2*c - 103549302.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n - n)*(5*n + 2*n - 2*n) + 22*n**2 - 9*n**2 + 20*n**2.\nAnswer: 43*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*1 + (sqrt(180)\/sqrt(3))\/sqrt(12).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(77)\/(-4*sqrt(11))) - (sqrt(12) + sqrt(60)\/(sqrt(10)\/sqrt(2) + sqrt(5))))**2*2.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-6)*(-3)\/2. Let q be (-18)\/(-7) - b\/14. Differentiate -6*v**2 + 3*v**q - 5*v**2 + v**2 + 3 wrt v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 83764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*a**2 + 10257728*a + 102754866916 = 0.\nAnswer: -160277\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8975\/2103 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0361578608 to six decimal places.\nAnswer: -0.036158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 3. Let y(h) = 5*h**3 + h**2 - 1. Let m be y(1). Let b be t(m). Factor 1\/2*g**3 + 0 + b*g + 2*g**2.\nAnswer: g*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 1172 + 885. What is the greatest common factor of p and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 14. Let j be ((-6)\/x)\/((-4)\/20). Let n be (0\/(-5 + j))\/(-2). Solve n*q - 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -16*s**2 - 5*s - 2. Let n be c(-6). Let z = n - -14794\/27. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102756*z**2 + 1721*z**3 + 205533*z**2 - 102777*z**2.\nAnswer: 1721*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7178*j + 10. Let i(m) = -27*m**2 + 1. Give h(i(v)).\nAnswer: 193806*v**2 - 7168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 < -217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370368476.\nAnswer: 2, 92592119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 291171 plus 238?\nAnswer: 291409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-3)\/(12\/20). Find the common denominator of ((-128)\/36)\/(c + (-155)\/(-30)) and 8\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x + 19. Let l(g) = 19*g - 38. Let v(d) = -2*l(d) - 5*t(d). Find the first derivative of v(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 13 = 2*k. Let o(p) = 4*p + 8*p**2 - 4*p**3 + 0*p + 5*p**3 - 5. Calculate the remainder when o(-5) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 6. Let i be 1*u*(-4)\/6. Suppose -i*o + 38 = -2*d, o - 3*d - 35 = 2*d. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 28.6. What is the closest to -2\/3 in 0.4, -1\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*r + 9 + 4, 3 = -i. Solve 0 = -l - 2 - r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -2288?\nAnswer: -2288.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4)*28888\/(-5308170).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7814389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6288 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*u - 305, 42*u + 147 = 2*r + 39*u. Calculate the remainder when 262 is divided by r.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 32*t**2 - 139*t + 103. Calculate n(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-257*k**2 - 294*k**2 + 123*k**2)*(3*k + 0*k + 0*k + 6).\nAnswer: -1284*k**3 - 2568*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*5\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -25*q + 37202. Let r = q - 843. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 8. Let q be 2 + (k + 4 - 0). Suppose 1180 = -q*r + r. What is r rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25935 = -6275*z + 5040*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 (base 9) in base 8?\nAnswer: -1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/3 - (-111)\/9 is divided by (0 - -1 - 1\/(-1)) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (12 + -8 + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -254195.309 to the nearest 100.\nAnswer: -254200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1.4, -0.1, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232224539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -49 + (-3 - 3 - -8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 9:53 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Let b = -4 - -5. Suppose 3*a = -5*j + 5*a - 49, -34 = 4*j + a. Let u = 15 + j. Let z(m) = -8*m. What is b*z(q) + u*s(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9 + 5 = 0. Let b(f) = -f - 4. Let c(y) = -y - 1. Let s(u) = 5*u + 5. Let v(w) = 4*c(w) + s(w). What is r*v(h) - b(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l. Let d(w) be the second derivative of 0 + 0*w**3 + 1\/24*w**4 - w**2 + w. Let y(f) be the first derivative of d(f). Give y(v(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1607, 3\/10, 0, 2, -3, -1, 1.4 in ascending order.\nAnswer: -3, -1, 0, 3\/10, 1.4, 2, 1607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 11:36 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 671196*w. Let r(d) = 2*d. Calculate f(r(v)).\nAnswer: 1342392*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 + 1031697*l**2\/2 + 2579205*l.\nAnswer: 3*l*(l + 5)*(l + 343894)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -479, -474, -467, -458?\n\"Answer: d**2 + 2*d - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 811 - 801. Which is the closest to -2? (a) 9 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -4 (b) -2\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 + 1369*u**2 + 6*u + 1334*u**2 - 2704*u**2 - 2 + 8*u to p + n*u**3 + b*u**2 + w*u + m*u**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f + 4. Let q(p) be the first derivative of 10*p**2 - 12*p - 609. Calculate -11*l(k) - 4*q(k).\nAnswer: -3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 0.11 (c) 2\/9 (d) 4 (e) -15 (f) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 - 2*u**4 - 2*u**4)*(0 - 4 + 2) - 2*u**4 + 0*u**4 + u**4 + u**4 + u**4 + 0*u**4 + 0*u**4 + 0*u**4 - 2*u**4 - 183*u + 79*u + 94*u + 7*u**4.\nAnswer: 8*u**4 - 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 2316*u**2 + 62920*u.\nAnswer: -4*u*(u - 605)*(u + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b + 38*b - 18*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 90 and -5\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k - 11*k + 16*k)*(-3*k - 2*k + 4*k) + (k + 2*k - 2*k)*(k + 4*k - 6*k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8188063763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u = -51*u - 16204 - 7156. Calculate the smallest common multiple of 803 and u.\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahhah. What is prob of sequence haaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7942631 + -0.7938. What is x rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10211101122 - 11?\nAnswer: 10211101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1780\/6230*(-34 - (-3)\/(-3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**3\/6 - 41*i + 8. Let l(p) be the first derivative of g(p). Let y(n) = -5*n + 5*n + 11*n**2. Give l(y(c)).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**3*d**3*p**2 - 269859*a**3*d**3*p - a**3*d*p**2 + 47*a**3*d*p + 2*a**3 - 49*a**2*d**2*p**2 - 9*a**2 + 2*d**2*p wrt d?\nAnswer: 30*a**3*p**2 - 1619154*a**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/33 and -109\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 169*p**6\/30 + 329*p**4\/12 - 27*p + 3. Find the third derivative of a(y) wrt y.\nAnswer: 4056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 344 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66043 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61142390 rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2347 - 3*d + 6*d**2 + 224 - 8*d**2 + 3*d to m + z*d**2 + h*d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, 1, 7 in descending order.\nAnswer: 97, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792 and 20808?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 311233211 (base 5) to base 4\nAnswer: 10313011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 511 - 4?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -403626.332 + 403678.3320103. Let v = -52 - 0. Let c = y + v. Round c to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5305370 divided by -50\nAnswer: -530537\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-12 - -5) + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.18 - 5.09. Let w = 2.56 - 2.65. Let n = f + w. Which is the closest to n? (a) 2 (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/4215 and 41\/9273?\nAnswer: 46365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f + 3*r, f - 18 = -2*f + 3*r. Let c be (-4 - -4) + f + 56. What is the greatest common factor of c and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-8 - 9)) + -1 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 294 - 284. Suppose -11802 = -i*d - 11*d. List the prime factors of d.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2072\/65 - 885\/13. Let x = 447\/5 + -269\/5. Let p = l + x. Which is the biggest value? (a) -1 (b) p (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*r + 4*m, r + 12 = -5*m + 41. Suppose 4 = -0*h - 2*h. Let x be -3*(h + 3 - 5). Solve -l = -r*l - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1958556*u*v**2 + u*v + u + 2*v + 91717 wrt v.\nAnswer: -3917112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 8*c = 315. Let k = c - -119. Calculate the remainder when 41 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/114 + (-758)\/(-12). Let h be 3\/(-6) - (-38)\/4. Calculate the highest common divisor of i and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -48*y**2. Let v(h) = -639*h**2. What is f(v(o))?\nAnswer: -19599408*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 67*p + 64. Let d(g) = -42*g**2 - 537*g + 513. Let m(u) = -4*d(u) + 33*j(u). Solve m(t) = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5 - 2*t + 2 + 2*t**2 - t**2 + 0. Let d(o) = -2*o + 6. Let b be d(-3). Suppose 0 = -5*h + 9*h - b. Determine j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 10 + 2. Suppose 3*g + 11100 = 5*i, -3*g + t*g = 4*i - 3700. Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 8:59 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 - 80. Let d = s - 57. What is the lowest common multiple of 58 and 11 + -2 + d\/(-3)?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Suppose 0 = -2*i + 4*a + 46, i + a + 20 = q*i. Suppose -m + 5*m - 340 = 0. Calculate the highest common factor of i and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182425 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 51. Let a(s) be the third derivative of s**6\/120 + 2*s**5\/15 + s**4\/4 - s**3\/6 + 2*s**2. List the prime factors of a(i).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 571 - 508. What is the greatest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 3*d - 24, -3*k + 3*d - 33 = 0. Let q be (-3)\/k + 620\/12. Suppose -q = -2*w - 2*w. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37560225*n**4 + 5813930*n**2 + 3?\nAnswer: -901445400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 + 32594*o**3 - 177104910*o**2 + 321090854246*o - 1281531823928 = 0 for o.\nAnswer: 4, 5431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 23 - 30 = 8*s + 55, 28 = 3*s + 4*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113358, -107364, -101374, -95394, -89430, -83488, -77574, -71694?\nAnswer: -65854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**4 - 11*o**4 + 5*o**4 - 3*o**2 + 3 - 2*o**3 + 4*o**3 as a*o + f*o**4 + p*o**3 + r*o**2 + h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 4*j - j - 4*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*v + 5*v - 185 = 0, -3*h = v - 103. Suppose h = 3*l - 0*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let v = 116894 - 116894. What is the nearest to v in d, 0.4, -1\/4, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 7*r - 12*r - 13547510*r**2.\nAnswer: -13547510*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 21 - 9 - -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1)\/(-1 + -9 + 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/720 and 79\/50?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 979 and 2.\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(1\/(-4) - -1). Let c = -22\/3 + d. Let r = 26 - 28. What is the closest to c in -4, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 8*x**2 - 8*x + 17. Let a be o(7). Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59 and -0.08.\nAnswer: -4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*z + i, -2*i + 3 = i. Suppose -4*h + 5*w + 52 = 0, 0*w = 2*w + z. Suppose -k = k - h. Solve 0 = o + k*p - 0*p + 6, 3*o + 11 = -5*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/5)\/(1\/(-15)). Suppose -o + p = -5. Suppose -2*n = -o + 2. Solve 3*x - n*x - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-10) - (-7)\/2. Let -3 + 0 + 3*v**2 + s*v - v**2 - 3 = 0. Calculate v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**5\/(r*r*r\/(r*r**(3\/4))*r*r))**(-10))**(-9\/4))**(-12) assuming r is positive.\nAnswer: r**(-945\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450793.413 minutes to weeks.\nAnswer: 44.72156875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, f: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let m(u) be the first derivative of -181*u**4\/24 + 5*u**2 + 5*u + 34. Let f(r) be the second derivative of m(r). Determine f(q(z)).\nAnswer: -181*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 divided by 1662?\nAnswer: 2185\/1662","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 43. Suppose 6*u - 2*u - 52 = h. Solve 4*z - c - 21 = 0, c + 0 + u = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482637739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r + 28*r - 746*r**2 + 176 + 7*r - 178 + 226*r**2 in the form n*r**2 + l + c*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 13*w + 24*w + 16*w - 3*w.\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 286 (b) -3.3 (c) 138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -22*g - 2668. Calculate q(-124).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 122 + 4. Is m <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2370015*h + 2 - 5 + 3.\nAnswer: -2370015*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136620268 + 235729144. Let p = i - 99108749.999878. Let x = p + -126. Round x to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 6. Suppose -5*p = d*m - 45, p + m = -3*m + 24. Suppose p*s - 7 = 113. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8*q + 15 = 0. Suppose -o - q*k - 6 = 1, 0 = 2*o - k - 7. Suppose 4*x - 8 = o*x. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**3 + 2*k**2 - 1. Let s be c(1). Let l(f) = f + 6. Let u be l(s). Let p(g) = 2*g - 2 + 4 - 6*g + u*g. Determine p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 4)*(-2 - 9 + 30)*(-1 - 1 + 0)*(-145 - 35*l + 145).\nAnswer: 6650*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18223019, 36446039, 54669059?\nAnswer: 72892079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 90?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223105 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 458309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224038\/49 or 4573?\nAnswer: 224038\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1624 and 232.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 + -0.07. Let s = 16.8 + -16. Which is bigger: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2306 divided by -2428\nAnswer: -1153\/1214","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.7 (b) -0.094 (c) 9 (d) 0.5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - -2 - (-18 - -32) - (105 + -128))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 4.4821 (c) 2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkll when four letters picked without replacement from {d: 1, k: 2, l: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 107*f. Let d(w) = 49*w. Let i(z) = -13*d(z) + 6*m(z). Let t(v) be the first derivative of -4*v**3\/3 + 1. Give i(t(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992324 a multiple of 853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2440 divided by -10\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 148 = 2428. Suppose -l = -5*k + 170. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 4. Let p(s) = 0 - w + 1 + 2*s. Let k be p(4). Solve 3*y - 6*v = -2*v - k, 0 = -3*y - v + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084812266?\nAnswer: 2, 3, 347468711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + -1 + (sqrt(8)\/sqrt(4))**2 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -305*u**3 + 38 + 103*u**3 + u**2 + 104*u**3 + 100*u**3 - u in the form a*u**3 + i + h*u**2 + q*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (3 + (-52)\/8). Put z, 4, -0.15 in decreasing order.\nAnswer: 4, z, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56488572, 56488570, 56488568?\nAnswer: 56488566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -2*f + 15, -5*z = 2*f - 0*f + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55450 less than 3405924996?\nAnswer: 3405980446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108884182 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 977 and 2?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -z, 2*a - 22 = 33*z - 35*z. Solve z = 8*y - 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - 2*s**5 - 2*s**5 + s**5 - 2*s**5 + 0*s**5 + (-8*s**4 - 75*s**4 + 20*s**4)*(-s - 3 + 3).\nAnswer: 60*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11 + 2*w - 8 - 4*w. Let r be z(3). Let o(u) = 9*u - 4. Let j be o(1). Put r, 4, j in decreasing order.\nAnswer: j, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 18. Let b = i - 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180832067 to the power of 1\/2, to the nearest integer?\nAnswer: 13447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 27. Let h be j(6). Let t be (-5 + (-25)\/(-3))*h*150000. What is t rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 4. Suppose 0 = 5*s + u*c - 11*c - 37, c - 13 = -2*s. Suppose s*d - 2 - 19 = 0. Solve -2*i = 5*z, z + 4 = d*i - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104\/(-364) + (-6246)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, 19, 87, 235, 493, 891, 1459, 2227?\n\"Answer: 5*i**3 - 5*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/131 (b) 7 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286229.5 months in millennia?\nAnswer: 190.519125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/(-56)*(-14)\/(-4). Suppose -14*k = -15*k + 3*c - 5, u*k + 3*c + 25 = 0. What is the second biggest value in 0.06, 5, k?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwqx when four letters picked without replacement from xqxqwqqqwxxqq.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 6*r - 1900 = 0. Suppose -h - 2*t - r = 3*t, 0 = -h + 3*t - 483. Round h to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 61*o = -16*o + 690. Let i be 4*(18\/8 + -1). Sort -1, -3, i, o in decreasing order.\nAnswer: o, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/3)\/(s**(-1)\/s)*(s**(-1))**26)\/((s**1)**(-18\/13)*(s\/(s*(s\/(s*s**(-1\/3)))\/s))\/(s*(s**3\/s)\/s)) assuming s is positive.\nAnswer: s**(-778\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -14.6. Let v = -58\/19 + 3. Let i = -25\/114 - v. Which is the third biggest value? (a) -2 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*g + o - 160, 3*o - 128 = -4*g. Suppose -3*l = -g + 98. Calculate the smallest common multiple of 18 and l*(1 - (5 - 3)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 6\/6287 (c) 1\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 43, 66, 109, 178, 279, 418, 601?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (8 - -86 - (19 - 6) - 0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -3*b, b - 11 - 7 = -2*p. What is the greatest common factor of p and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610272 is divided by 1724?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 4*a - 27 + 6, 0 = -5*j - a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 79f?\nAnswer: -79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -10*z + 2*z**4 + 106\/3*z**2 - 50\/3*z**3 + 0 = 0.\nAnswer: 0, 1\/3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000079137036 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12590\/(-1144) + 11)\/(1\/(-284)). Let c = -13\/11 + g. Factor -c + 18\/13*q**3 + 10\/13*q + 32\/13*q**2.\nAnswer: 2*(q + 1)**2*(9*q - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1216) + -2) + (-2 + sqrt(1216) - sqrt(1216)) + -5)*2)**2.\nAnswer: -1408*sqrt(19) + 19940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20 - -36) + 0 + 29. Calculate the greatest common factor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121444916 to the power of 1\/3, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0083 - 0.4083. Which is the second biggest value? (a) 3\/8 (b) -8 (c) f (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(15 + 7 + 27)*(0*o - 2*o**4 + 0*o) - 3*o**4 + 3*o**4 - o**4.\nAnswer: -99*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(605) + -1 - (-4*(sqrt(605) + -2) + sqrt(605))**2.\nAnswer: -5508 + 539*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 21*g - 3. Let y be b(3). Let r(s) = 7*s + 94. Let z be 50 + -40 + 0 + -2. Let d be r(z). Calculate the greatest common factor of y and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 67, 165, 303, 481, 699, 957?\n\"Answer: 20*n**2 - 2*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:51 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 10120?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 18. Let h = 24 + -26. Let n(q) = -3*q + 5. Let r(o) = 7*o - 11. Let x(m) = h*r(m) - 5*n(m). Determine x(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 37 - 37)*(1569*g**2 - 385791 + 385791) as c*g**3 + m*g + o*g**2 + a and give c.\nAnswer: -4707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 17. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.561? (a) -4 (b) 0 (c) -12 (d) 1\/12 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 6*y**2 - 8*y + 7. Let z be 3 - 1*(-4 + 0). Let v be b(z). Solve -5*r = j - 11, v = 3*r - 4*j - 4 + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5085, 5526, 5967?\nAnswer: 6408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 3*n. Let q be m(-3). Let u = q + 132. Let g = u - 169\/4. Which is the nearest to 0? (a) -1\/3 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*5\/180 - 8\/36?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135*y + 157*y - 324*y)*(0 - 2 - 3) + (-3*y + 3*y + y)*(-5 + 4 + 0) to a*y + o and give a.\nAnswer: 1509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3143, -25026, -84421, -200084, -390771?\nAnswer: -675238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 1248 = 6*c. Let v be 1568066\/c - (-8)\/(-52). Let x = 7549 - v. Calculate the common denominator of 55\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:27 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295422 and 477?\nAnswer: 886266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 55 = 531. Suppose 5*b = 3*d + 127, 0*b + d = 5*b - h. Suppose 22 + 14 = 3*v. Calculate the remainder when b is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/29? (a) -18 (b) 1165 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + (5 + -4 - 3) + (-140 - -206).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 23772.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 9*x + 6*x. Suppose 2*u = -4*r + 14, x*r + 2*r = -2. Let z(i) = -1 + 0 + 4 - 4 + u*i**3. Calculate z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 + 239. Let v be (-2163)\/k - (1 + (-8)\/5). Let l(h) = 2*h**3 + 40*h**2 - 4*h + 9. What is the units digit of l(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.082922845 - 6.792856245. Let p = -1672.71 + 1666. Let r = b - p. Round r to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 321252 + 42253?\nAnswer: 403545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 46 + 10 = 0. Solve -5*w - 5*x + 25 = 0, 2*w = x + x - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -313.7 - -313.3. Which is the third biggest value? (a) -0.2 (b) i (c) -268 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 63. Sort 0, 3, -2\/15, w in descending order.\nAnswer: 3, w, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 30. Let b(q) = 3*q**2 + 6*q + 3. What is the remainder when b(-4) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3848, 7661, 11474, 15287, 19100, 22913?\n\"Answer: 3813*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3 + 5. Suppose -5*k + 11 = 4*w, 2*k - 10 = -7*w + 4*w. Suppose 3*z - 4*c = -5 - w, z + c = 4. Solve v*g = g + z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21003 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121*10.19.\nAnswer: 1232.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-9) - (-3)\/1. Suppose 6*q = q, -c - k*q + 5 = 0. Suppose -c*o = 4*l - 508, -4*o + 0*o = 2*l - 410. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2\/5 + 10089*q\/5 + 10086\/5 = 0. What is q?\nAnswer: -3362, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1032 by 6.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -102, -219, -382?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.56996 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/7)*j**(-22)*(j*j*j*j*j\/(j\/(j*j**7))*j*j*j)\/((j*j**(-25))\/j*j))**(-1\/5) assuming j is positive.\nAnswer: j**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 104d5ab1 - 1?\nAnswer: 104d5ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695797159.\nAnswer: 557, 1249187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w = -40*w + 30. Solve 17 = -w*l + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/3 - 19058*s**2\/3 + 15905248*s - 3628196088 = 0.\nAnswer: 253, 4638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/26 and -69\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -3 - (-6)\/6. Suppose 3*b = d + 17. Let g = -2 + 15. Calculate the remainder when g is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -22*o**2 + 7573*o - 1706. Give j(344).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-198*z + 15*z - 418*z - 40*z)*(-3 + 5 - 4) in the form q*z + b and give q.\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5365\/7 + 767. Factor -10\/7*c + 8\/7*c**2 - 2\/7*c**3 + r.\nAnswer: -2*(c - 2)*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**3 + 5*c**2 - 8*c + 15. Let z(r) = -7*r**3 - 6*r**2 + 10*r - 15. Calculate 5*m(g) + 4*z(g).\nAnswer: -3*g**3 + g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 857\/3 or 0.1?\nAnswer: 857\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.19 + 11.19. Which is the closest to -0.1? (a) -4\/3 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2220682000 to the nearest 1000000.\nAnswer: -2221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348002096 divided by 29068.\nAnswer: 11972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(26\/((-156)\/(-3)))*7\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-22)\/88*1\/1. Factor d*g - 1\/2 + 0*g**3 - 1\/2*g**4 + g**2.\nAnswer: -(g - 1)**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577212796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 112*z**2 + 116*z**2 + 153*z**3 - 228*z**2.\nAnswer: 153*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 8*c**2 + c - 3. Let s be j(8). Suppose -5*q + 33 = -2*x, s*x - 38 = -5*q + 2*x. Factor 3 + 5*a - 3 - 5 - 16*a**2 + 9*a**3 + q.\nAnswer: (a - 1)**2*(9*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -103, -189, -307?\n\"Answer: -16*t**2 - 6*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -15 - 4) + -16 + 5 - (-3 - 80)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -74. Suppose -12 = -4*j + o, 1 - 7 = -2*j - 4*o. Is z less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21*6\/9 + 1. Suppose 6*j - f = j. Differentiate j*n**4 - 5*n + 1 + 5*n with respect to n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2 + 20. Let x(y) = -18*y - 4. Suppose 3*i = 2*z + 88, -z + 73 = 5*i - 52. Calculate the remainder when x(n) is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 627*q - 16968. Determine t(-26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3672 divided by -68\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 7. Let q(n) = n**2 + 2*n + 1. What is the units digit of q(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 9*j + 16. Let c be 1*(1 - (11 - 2)). Let f be l(c). Suppose -f*k = -6*k - 70. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 65852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522039, -522054, -522079, -522114?\nAnswer: -522159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 65895 times -8\nAnswer: -527160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/24 + g**3\/6 + g**2 - 34*g + 91. Let y(m) be the second derivative of r(m). Calculate y(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 619*p - 13638 + 13638 - 25*p**5 - 22*p**5 wrt p.\nAnswer: -940*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5634\/11 or 512?\nAnswer: 512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r + 3. Let c(k) = -12*k**3 + 41*k**2 + 28*k + 2. Let n be c(4). Suppose 2*m - 5 = r*q, -5*m + q + n = -4. Solve 0*b - m = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-2) - -1203*(-6)\/(-9).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 16, 0 = 2*r + 2*m - 14 - 62. What is the remainder when 3875 is divided by r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59147?\nAnswer: 11, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/190*(-5)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:37 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -148, -143, -148, -169?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -1140, 4, -47 in ascending order.\nAnswer: -1140, -47, -6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149458 - 149458 + 1426*k + (-2 - 1 + 0)*(-2*k - 2 + 2).\nAnswer: 1432*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103 in 5, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-142)\/6 - (-7)\/(-21). Let d be (7668680\/(-6))\/(4\/j). Let v = d - 12708680. What is v rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.3084 micrometers in nanometers?\nAnswer: 593308.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(3)*-1)\/(-5*(sqrt(4)*2 + sqrt(4))).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 4*l - 4*x, -2*l - 2*x = 6. Let z be 140\/(-24) - l\/(-12). Is -3*1\/z*6542 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6168 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhooffofoohho. Give prob of picking 1 h and 3 o.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4528 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/16161362 and -55\/18.\nAnswer: 145452258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - j + 1399 - 1453 = 0, 4*q = -j - 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630 divided by -105.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q**3 + 0 - 1\/8*q**4 + 0*q - 2*q**2. Let o(k) = -k**2. What is f(o(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 426, 407, 376, 333?\n\"Answer: -6*h**2 - h + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujuccccuzuu. What is prob of sequence cz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6975314293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -28, -38, -50?\n\"Answer: -u**2 - 5*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 39488*j + 10. Let w be c(3). Let t = w + -264474. What is t rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*b + (0 + 0 - b)*(-1 + 3 + 0))*(18*b**4 + 24*b**4 + b**4).\nAnswer: 43*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7606, 30431, 68474, 121735, 190214, 273911?\n\"Answer: 7609*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 96*h - 215. What is the hundreds digit of y(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 59*s**2 - 3044*s - 273. Calculate m(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10552881 divided by -37?\nAnswer: 285213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5528079667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**2 - 16948*c + 2996760 = 0 for c.\nAnswer: -4407, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 2, b: 1, j: 1, e: 1, q: 1}. What is prob of sequence qz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s - 1 + 1 + 36*s - 95*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/42)\/(-12 + -2)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 4. Suppose 0 = -u - o*u + 80. Let w = u + -2. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*d - 8*d. Let p(g) = -2*g**d - 5*g**2 - 4*g**2. Let a(z) = 2*z**2. Determine p(a(m)).\nAnswer: -44*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:17 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -503*p**5 + 13*p**4 + 2*p + 289. Let q(b) = -251*b**5 + 6*b**4 + b + 145. Let u(z) = 6*d(z) - 13*q(z). Find the second derivative of u(l) wrt l.\nAnswer: 4900*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39184674 rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2902997 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**6 - 36*n**5 - 10683*n**3 - 859333*n**2 - n + 1 wrt n?\nAnswer: -480*n**3 - 2160*n**2 - 64098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342328 and 1904.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2804*f*w + 1444*f + 11760292*w wrt f.\nAnswer: 2804*w + 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/20 - 5*q**4\/6 - 4*q**3\/3 + 13*q**2\/2 - 3*q. Let p be b(-9). Let k be (-3 + 14\/p)*14. Solve k = 4*f - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 13\/((-44)\/330 + (-46)\/(-120)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -161, -156, -149, -140?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*i - 41*i - 6*i**5 + 5*i**5 wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s**2 - 4*s**2)*(-s - 2 + 2) + 7*s**3 - 4*s**3 - 2*s**3 + s - s - 2*s**3 + (s**2 + 0*s**2 + 0*s**2)*(-2*s + 0*s + 0*s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 32*b + 30*b - 1 + 30*b.\nAnswer: 32*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0151 and 0.0263.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 763407 and 801?\nAnswer: 762606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1058268 divided by 64?\nAnswer: -264567\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1896859.9669 - -1896761. Let a = 99 + d. Round a to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 5*x**3 - 5*x**3)*(-609*x + 205 - 260 + 608*x) + 4*x**3 - x**4 - 4*x**3.\nAnswer: 5*x**4 + 330*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1.549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + (-26)\/7. Let g be (1\/q)\/((-5)\/(-12)). Let w(m) = -m**3 + 4*m**2 - 6*m + 7. Let b be w(3). Is b greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 187764*r - 2440256.\nAnswer: -4*(r + 13)*(r + 46928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k + 6. Determine y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*b**5 - 24\/5*b**4 + 9\/5*b**3 + 96\/5*b**2 + 0 - 84\/5*b = 0.\nAnswer: -2, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*p - 61, 2*p = -28 + 22. Calculate the remainder when 28 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:48 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**2 - 14*d + 14. Let q(n) = -3*n**2 + 5*n - 5. Let p be 26\/(-3)*(-4 + -2). Suppose -4 = 51*g - p*g. Calculate g*y(k) + 11*q(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16 = 19. Let r be 1\/u*0\/(-2). Suppose r = -6*n + 4*n + 124. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let m = -21 - -13. Suppose 4*k + 18 - 58 = 0. Let c = m + k. Solve -3*o - 21 = -0*n - c*n, 0 = -2*o - 2*n - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497952867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(-7) + 6\/(-21). Suppose r = w*o + 59, -4*o = -r + o + 65. Suppose -i = -75 - r. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c**2 - 7*c**2 + 4*c**2 - 4*c**2 + 0*c**2. Let y(j) be the first derivative of -j**3\/3 - 2. Determine d(y(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*(0 + 18\/4 - 4). Suppose -d*t + 67 = 42. Suppose -t*q = -224812 + 2874812. Round q to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m - 8 + m + m**3 - 9*m**2 + 3*m. Is o(10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-2)\/12*-3. Let n = -31 - -34. What is s in -x*s**2 + 2 + 0*s + 1\/2*s**n = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233 + -1343 - (-25 + (2 - -3))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2362.\nAnswer: -5\/2362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 5*j**4\/4 + 10*j**3 - 45*j**2\/2 - 70*j - 97. Factor t(k).\nAnswer: 5*(k - 2)*(k + 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d66a + -10?\nAnswer: -2d67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 261, -6, -5, 42?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3*i + 2 + 7, -2*i + 6 = 0. Suppose k - 4 = 0, k + t*k - 8 = -2*q. Suppose -3*b + 1 = -4*l, -4*b - 4 = -2*l - q. Is b > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -87, -78, -51, 0, 81?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004187 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 11:48 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m - 81*m = 4*r - 44, 2*r - 58 = -4*m. Suppose 3*c + 2 = 2*b - 4, -3*b + 9 = -2*c. Suppose m = b*n - 18. Solve n = -5*i + 7*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -961275242\/7 bigger than -137325034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -408 - m + 408. Let q(t) = -2*t**2 - 6*t + 6. Let y(o) = 13 - o - 4*o**2 - 9*o - 3*o. Let g(k) = -13*q(k) + 6*y(k). Determine l(g(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11377603\/247598 + 4912\/107. Find the common denominator of k and 85\/12.\nAnswer: 13884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 5*h - 1311. Suppose -265 = 4*b - h. What is b rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5148 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1348708539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose -2*v + 6*v - 4*f = 56, -3*f = -h*v + 29. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12390*l**3 - 6300*l**3 + 7355*l**3.\nAnswer: 13445*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 2*r\/3 + 8.\nAnswer: -2*(r - 4)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 100 = -3*h. Calculate the remainder when ((-10)\/h)\/((-2)\/(-140)) is divided by 6\/15 - 48\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/(-42) - -1 - 7\/21 and 37\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*n - 3060 = 330*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbo when three letters picked without replacement from {j: 4, b: 12, o: 4}.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 87 = -39. Let k be 48\/32 + 6\/(-4). Solve c*l - 12*l - 24 = k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 3299, 7565, 13539, 21221, 30611, 41709?\nAnswer: 54515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25849, 25832, 25781, 25678, 25505, 25244?\nAnswer: 24877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3411 + 4*k - 5*k - 3411.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-673*g + 673*g - 43*g**2).\nAnswer: -43*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 2*p + 10*p)*(3 + 0 - 1) + 17 + 18*p - 17 + (-6 + 1 + 3)*(1 + 2*p - 1) + p + 3*p - 5*p as i + s*p and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.0442, 5, -0.003 in decreasing order.\nAnswer: 5, -0.003, -3.0442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.76 - -31.36. Which is the closest to 0.2? (a) -2 (b) 3 (c) 3\/4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**3 + 3*l**3 - 2*l**3)*(-1144 + 1144 + 6*l + (0 + 0 + l)*(5 - 3 + 0) + l + 0*l + 14*l) to y + w*l**4 + a*l**3 + q*l + k*l**2 and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 13*u + 3. What is the third smallest value in 2, u, -4, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3 = 10. Which is greater: -2\/21 or r?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, -5, -1\/2, -205?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 28*z - 90. Let u be b(-7). Let c(a) = -3*a**2 + 23*a + 11. Let f be c(u). Let l = -7 + 4. Sort f, -4, l, -2\/13 in decreasing order.\nAnswer: f, -2\/13, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*z + 1448*z = 370 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30714959 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/19)*q**(-17)*q*q**(4\/3)*q*q*(((q\/(q\/(q\/(q**(-1\/6)*q)*q)*q)*q)\/q)\/q)\/q assuming q is positive.\nAnswer: q**(-547\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22217250673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1))\/d)\/d)\/(d**(-6)*d)*((d\/(d\/(d\/(d\/(d\/(d\/(d**(1\/8)*d))))*d)))\/d)\/d**(3\/2)*(d**5\/d**(1\/8))**(-26) assuming d is positive.\nAnswer: d**(-993\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.3, 1, 0.38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 4*y + 1. Let h(v) = -41*v**2 - 35*v + 1. What is -h(l) + 6*i(l)?\nAnswer: 23*l**2 + 11*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 0, -2, -4?\n\"Answer: -2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + 77\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 5*i**3 - i**3)*(-2*i + 4*i + 0*i) + 3 - 3 + 3*i + 2*i**4.\nAnswer: -8*i**4 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 34 - 43 - 853*x in the form u*x + w and give u.\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -93*n - 1865. Let w be b(-20). Sort w, 1\/4, 1\/174, 0.2 in ascending order.\nAnswer: w, 1\/174, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -506, -2027, -4562, -8111?\n\"Answer: -507*g**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 0 + ((-3510)\/30 - -70).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 2455*t**3\/6 - 3545*t**2\/2 - 3595*t. Differentiate r(w) wrt w.\nAnswer: 2455","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - 69*b + 246. Let z = -17 - -24. What is the remainder when x(19) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-10 + 44)\/(-17). What is the smallest value in 0.08, l, 98?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3811551610131.1 - -1.\nAnswer: -3811551610130.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - j + 13 = 0, -j + 6 = -3*i - 4*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 8:19 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 146501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27860 is divided by 9277.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - y + 5*y + 16, 0 = 2*h - 5*y - 17. Let z = h + -1. Which is the third smallest value? (a) 1\/4 (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 11 + (6 - 1) - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.640316 + 0.64. What is y rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t. Suppose -6 = 2*z + 4*w, 5 - 2 = -w. Let n = z + t. Solve -2*i + s = 3*s + 6, 2*s - 9 = n*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3542, 3598, 3688, 3812, 3970?\nAnswer: 4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/154 and 58\/15.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 17 + 31. What is the highest common factor of x and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1195 = 5*l + 3*k, 2*l - 2*k - 335 = 159. Suppose -4*w = n - 193, -2*n + l = 4*w + w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 190*m.\nAnswer: 2*m*(m - 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2\/3 + 5*l + 34\/3 = 0?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 151569806291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 231. Let l = q + -76. Let t = 52 - l. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 10*j + 13. Determine r(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 9501125 = 98*r + 10*r. What are the prime factors of r?\nAnswer: 5, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + ((-570)\/50*-1 - 12) - 8. Suppose 2\/5*h**3 - x*h**5 + 0*h + 0*h**4 + 0*h**2 + 0 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -286457\nAnswer: -286453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*o + 4, w - 4*o = -40 + 30. Put w, 61, -1\/5, 2\/3, -4 in ascending order.\nAnswer: -4, w, -1\/5, 2\/3, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 14. Let f = -0.012 - -6.912. Let g = s - f. Which is the third biggest value? (a) g (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12640 divided by -5\nAnswer: -2528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w - 12. Let z(c) = 19*c + 32. Let p(s) = 8*k(s) + 3*z(s). Let v(f) = f**2 - 21. Give v(p(o)).\nAnswer: o**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 14, a: 4}. What is prob of picking 2 a?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.115 rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Let d = 0.3 + 0.7. Which is the nearest to d? (a) 0.1 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 3)*(3 - 3 - 2) - 58 + 5 + 6)*(-3*s**5 - s**5 - 4*s**5).\nAnswer: 408*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69466 = 5*l - 3*d - 69582, 2*l + d = 42 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2249*n + 170. What are the prime factors of a(3)?\nAnswer: 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*l - 887, -3*z = 2*l - 1011 - 1624. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15701*h. Let l(q) = -q**2. What is z(l(i))?\nAnswer: -15701*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*r - 13. Let l be 14 + 3 + r - -2. Solve l*z + 6 = 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1038 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3696*c + 48993 = 451857 for c.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 3, j: 2, g: 2}. What is prob of sequence jxkj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*f - 2*m + 66 + 40, 131*m - 31 = 4*f + 132*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k - 2*k)*(10 - 2 + 0)*(-5 + 1 - 2)*(-4 + 4 + 1).\nAnswer: 240*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -110*q - 9. Let n(u) = -55*u - 4. Calculate -3*i(b) + 7*n(b).\nAnswer: -55*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 15 = 4*x, 5*r + 322*x = 317*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 88, 0.3, 1.4?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93346030 is divided by 10371780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j + 5 - 5 + (-3 - 6 + 2)*(j + 0 + 0) - 2*j - 3 + 3 + 3*j - 3*j - 2*j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7586 - 7894.9. Let h = -308.91507 - t. Round h to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 54, 0, -473 in ascending order.\nAnswer: -473, -2, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*l = 1460 - 770 + 2546 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71082561 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 564114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 3*w + 60575 + 3*w - 60575. Let h(f) = f**2 - 201*f + 2. Give k(h(l)).\nAnswer: 3*l**2 - 603*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -291, -347, -421, -513, -623, -751?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5859 and 6993?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:21 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 135030646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 0.22, -4, -0.5, 1.0958, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, j: 2}. What is prob of sequence jjn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 1\/120*q**6 - q**2 + 1\/8*q**4 + 0*q + 0 + 1\/2*q**3 + 1\/15*q**5. Let b(z) = z**2 + 22*z + 19. Let x be b(-21). What is o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69523959 is divided by 38012.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -84+-1584\nAnswer: -1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 divided by 6?\nAnswer: 95\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*k**5*l - 3*k**5 - 8*k**2*l - 89*l wrt k.\nAnswer: -5040*k**2*l - 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -14 + 262*p**2 + 0*p**3 - 33*p - 235*p**2 - 39*p + 62 - 3*p**3 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.33439 rounded to 0 dps?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 24.3. Let x = -0.7 + n. Let v = -0.3 + -3.7. What is the closest to x in -2\/3, -3\/7, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/15 + 394*h**2\/15 - 392*h\/15 = 0. Calculate h.\nAnswer: 0, 1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.38432, -5, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azazmmmml. What is prob of picking 2 a and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33216506 is divided by 8388.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -642 - -637. Sort n, 0.2, 1, 69 in ascending order.\nAnswer: n, 0.2, 1, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8*z + 3. Let v(q) = 3 - 7*q - 1 + 1. Suppose 4*k = 3*u + 7*k + 957, -3*k + 15 = 0. Let s be ((-18)\/4 + 2)*u\/135. Give s*p(o) - 7*v(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616 - 25*l**3 - 627 + 1243.\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 - 1681921*f**3 + 2*f**2 - 120*f - 10751?\nAnswer: 60*f**2 - 10091526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7612.345 weeks in seconds?\nAnswer: 4603946256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = u + 2, -3*k = -2*u + 2*k - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22196 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208529645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 5 = -2*p. Let y be (-12)\/(-2) + 2\/p. Suppose 2*b - 19 = -523*z + 520*z, 2*b = -z + 9. Solve 0 = y*w - z*k - 12, 9 = 5*w - 2*w - 4*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24443\/35442 + 68\/99. Which is smaller: -0.1 or s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -0.4, -119645?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 17*l**2 - 18*l + 37. What is m(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.69 - -0.39. Which is the smallest value? (a) -0.4 (b) i (c) -0.093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(65\/104).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 9. Let n(f) = -f**3 + 8*f**2 - 5*f - 9. Let b be n(j). Put 2, -2, b in descending order.\nAnswer: b, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 81. Let h be -5 + 1*(-4 + (m - -8)). Which is the closest to 0.1? (a) -0.2 (b) h (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -220284?\nAnswer: 220288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/11)*p**(-4)*p\/p**(-2\/25)*p**(-10)*p assuming p is positive.\nAnswer: p**(-3378\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 836*a + 173890. Give d(-447).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999 divided by 57?\nAnswer: 4999\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 2, l: 1, i: 1, s: 2}. What is prob of picking 1 x, 2 u, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:38 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 - 22710*i - 22715 = 0. Calculate i.\nAnswer: -1, 4543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 38. Let x be r(-19). Let l = 47 - x. Let w(m) = -m - 8. Give w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*y - 56*y + 216. What is the remainder when 284 is divided by y?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -820*c - 2115. Let p(h) = -2*h + 5. Let r(u) = -n(u) - 60*p(u). Differentiate r(s) with respect to s.\nAnswer: 940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 8\/7, 7 in increasing order.\nAnswer: 8\/7, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.01585 years in centuries?\nAnswer: 0.5101585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68660568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + ((sqrt(100)\/sqrt(5))\/sqrt(4) - sqrt(5)) - ((-5*sqrt(5)*6)**2 + sqrt(5)).\nAnswer: -4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273)\/(-13) + (-272)\/17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.6. Let h = -0.2 - d. What is the nearest to -1 in h, -2\/9, 3\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -141 + 10ac34?\nAnswer: 10aae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + (2 - -1) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 411 + -409. Let c be (0 - 1)*(-5 + 0). Suppose c*j - 27 = p*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21186.9483 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 4*m + m)*(-4 + 6 - 1)*(m + 0*m + 4*m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11829080.\nAnswer: 2, 5, 295727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z + 1. Let x(y) = 26*y**3 - 5*y**2 + 2*y - 12. Let i(v) = 24*v**3 - 4*v**2 + 2*v - 10. Let s(p) = -5*i(p) + 4*x(p). What is s(m) - 2*w(m)?\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 8:21 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25273, -103521, -233941, -416539, -651321, -938293, -1277461, -1668831?\n\"Answer: -a**3 - 26080*a**2 - a + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - 323. Let n = r - -197.2. Which is the closest to -2? (a) -1 (b) n (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1, 1198, 0.4 in decreasing order.\nAnswer: 1198, 3\/5, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 640 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10132596?\nAnswer: 2, 3, 149, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*l + 2 = 18, -3*c - l = 10. Let g(x) = x + 2. Let q be g(c). Let p = 79 + q. What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1.10681\nAnswer: 10.10681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2. Let j(k) = -k**2 + 2*k + 4. Let w be j(3). Let f be (0\/1)\/(-1 - w). Let y(m) = 6*m - m + f*m. Calculate y(n(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15463 (base 11) to base 8.\nAnswer: 52531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4675 + -4678. Let o be -3*1 + 2 - 1. Let c be 0 - -4 - (5 + -2). What is the nearest to c in f, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 1 t when three letters picked without replacement from ltqqtj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 2:50 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 788073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6191655 + 540?\nAnswer: 533.3808345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 38*x + 806. Is 8 a factor of c(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpyzzpzzpppyzppy. What is prob of sequence pp?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(24) + sqrt(600) - sqrt(24))*-6)*3)\/((sqrt(144)*-2)\/sqrt(12) + sqrt(1200)*1).\nAnswer: 93*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 5. Let c be o(3). Suppose h = 6*h - c. Solve -5*s - h*s = 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 34*d + 10 = -3*l, -23 = 5*l + 2*d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (43 + 3 - 20) + -94 + -15\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 33934 = 56*o. Is 38 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -k. Suppose -3*c + 4*x + 5 = 0, -3*c - 7 = -k*c - 4*x. Let t be -6*((-20)\/(-8) - c). Solve -5 = t*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 6 = 3*x - 9, 25 = s + 5*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + 10120?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28361 - -10?\nAnswer: 10.28361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15975125 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**4\/24 + v**3\/6 - 3*v**2. What is the units digit of l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162231829?\nAnswer: 29, 773, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 5:52 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by -94*(-3)\/30 - (-10)\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, -11, -40, -69, -98, -127?\n\"Answer: -29*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39018*b + 2*b**2 + 2*b**2 - 5*b**2 + 38989*b.\nAnswer: -b**2 - 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2843*y - 17. Let z(c) = -42*c**2 - 6. Calculate r(z(m)).\nAnswer: 119406*m**2 + 17041","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*y**3)*((3*y - 12*y - 3*y)*(-1 + 0 + 2) + 10*y - 4*y + 2*y).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 179198 + 227*i - 5*i**3 + 179204.\nAnswer: -2*i**3 + 227*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*((sqrt(637) + 3)*-6 + 0) + -1) + 4.\nAnswer: 331 + 756*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 x when three letters picked without replacement from {d: 6, x: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277876*c**3*p**3 + 11*c**3*p**2*t + 4*c**3*t - 6*c**2*p**2*t**2 - p**3*t**2 - 22*p**2*t wrt p?\nAnswer: -1667256*c**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let o = 24161.9 + -24162. What is the nearest to q in 5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 2*r**2 + 2. Let j be n(-2). Suppose -q = j*q. Solve y = -1 - q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 - 160.83. Let z = 0.2 + l. Round z to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.47 + -0.67. Let g = 0.2 + x. Let p = g + -10.1. Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 682959\nAnswer: -4\/682959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 105853 = 105853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:50 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 6*r - 2. Let u be t(-4). Let n(q) be the first derivative of q**2\/2 + q - 1. What is the units digit of n(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.06 (c) 0.026 (d) 0.2 (e) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0123 - -2.3.\nAnswer: 2.3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110244 + -4440?\nAnswer: -120234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d. Let x be j(1). Solve 0*t - t + 5 = x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 8:49 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1276083 = -3*x, 260*g + 5*x = 261*g - 425353. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -16*b - 12. Let q(i) = -i**3 - 3*i**2 + 2*i + 8. Let o be q(b). Suppose o*y + a = 9, 0*y + 2*y = a + 7. Sort y, 1, -17 in increasing order.\nAnswer: -17, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/4 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2936484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -19, 21, 139, 341, 633, 1021?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(132)*-2)\/sqrt(12))**2 - (-3 + sqrt(11) + 0)*3.\nAnswer: -19*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9126\/(-90) + 3\/(-5). Let x = p - -111. Let n(j) = 2*j**2 + j - 2. Calculate the lowest common multiple of n(2) and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.84*-61484\nAnswer: 51646.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 2\/15, -0.3, -1, -5, 295?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31823837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177608 divided by 598.\nAnswer: -88804\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.752 and -7.16.\nAnswer: -41.18432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 754.9773 nanograms?\nAnswer: 0.0000000007549773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 1029*t**2 + 614925*t + 74874375.\nAnswer: -(t - 1479)*(t + 225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Suppose 2*j + l*j = 3*i - 9, j = 3*i - 9. Let v be (35\/(-10))\/(2\/(-4)). Solve -i*m - 19 = -v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134 and 1407.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/6 + -4)\/(-1). Suppose g = -o - 2*t, -2*t - 4 = -2*o - 2. Solve o = i + 4 - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1407)\/28*(0 + 8\/(-3)). Suppose -2*h + 532 = -4*l, -h + 0*h = 4*l - 290. Let f = h - y. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**5 - 1035040*p**4 - 66982606488*p**3 - 3346643584672*p**2 - 6492343490020*p - 3212681476800 = 0.\nAnswer: -129355, -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -15\/4 (c) -3\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2)*(-4)\/52*0. Solve x = 12*v - 8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12911*p - 77462. Calculate t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:52 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206 + 91. Let i = v - -198. Does 32 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182.9877 - 183. What is o rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 67112*s**3 + 18*s**2 - 126*s + 476. Let g be t(21). Round g to the nearest 1000000.\nAnswer: 622000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 1. Let t be r(1). Suppose c - 6*c = t. Does 5 divide 2 - c - (-2 - 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n - 27. Let z(f) = 16*f**2 - 3. Let a(y) = -37*y**2 + 7. Let o(i) = -3*a(i) - 7*z(i). Determine o(d(l)).\nAnswer: -64*l**2 + 432*l - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58374 and 27918.\nAnswer: 642114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10869326129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -4. Suppose -146 = -5*d - 4*o, -5*d = -a*o - 123 - 32. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*a**2 - 52*a**2 + 2*a - 10 + 29*a**2 as t + q*a**2 + g*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*u**2 - 627*u + 78247?\nAnswer: -22*u - 627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501762267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*j - 2 - 0, -5*j + 25 = 3*l. Let x be 1*(12\/(-4) + 14). Let o = l + x. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760*r + 1410 = 1854*r. Let y be 1*-1 - (2 + -243). Calculate the highest common factor of y and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*f - 3093 = 6125, 15372 = 5*o - 4*f. Suppose 0 = -10*q + 13854 + o. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 9:59 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-22))\/(24\/((-6)\/3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90326\/124269 - 4\/1801. Find the common denominator of b and -47\/690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 574 (c) -1\/4 (d) -3\/5 (e) 3 (f) -0.4 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-21))\/(2\/35*6200\/(-11904)).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddhidiimddiiddhijij. Give prob of sequence jimi.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) + (-1782)\/(-504) + (-9)\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ussusssssstts. Give prob of picking 1 u and 2 s.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221056 and 6336?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1218 + 1219. Sort -1\/6, y, 3 in descending order.\nAnswer: 3, y, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 199. Let d = -98 - r. Calculate the least common multiple of d and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31030 + -3?\nAnswer: -31033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g - 9. Let q(f) = -2403*f + 1. What is q(c(w))?\nAnswer: -12015*w + 21628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5761463203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**3 + 4*v**2 - 1. Let s(g) = 20*g**2 + 7*g + 7. Let t(q) = 17*q**2 + 6*q + 6. Let o(r) = -6*s(r) + 7*t(r). What is o(i(c))?\nAnswer: -9*c**4 - 48*c**3 - 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose j*b = -9, 2*f - 15 = f + 5*b. Let h be (-4)\/(-8)*(2 - f). Let o(s) = -7*s**3 + s**2 + s - 1. What is o(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -6\/7, 59.\nAnswer: -6\/7, 1, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*t - 824674 = 96*t. Does 89 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*l**2 - 9\/5*l + 6\/5.\nAnswer: 3*(l - 2)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*a - 269*a - 51*a - 4*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37*1 + (16 - 15) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*l + 2964 - 1248. Sort 13, 2, 3, 5, l in ascending order.\nAnswer: l, 2, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 9. Let t(j) = -2. What is 3*g(o) + 15*t(o)?\nAnswer: -9*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2*a - 1. Let q be r(2). Suppose q = -c + 9. Solve -3*u - 4*g = 0, 4*u + 4*g + c = -2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*j, 5*s - 5*j - 88 = -7*j. Let m = -353 - -609. Calculate the highest common divisor of s and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.7151 years in millennia?\nAnswer: 0.3287151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0.25, 3\/4 in ascending order.\nAnswer: -4, 0.25, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26653088 divided by -10208?\nAnswer: -2611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(4400))**2 + sqrt(11) - sqrt(11)).\nAnswer: -17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -390.3 - -433.59. Let r = 43 - z. Let l = 0.04 + r. Round l to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4533*h - 9010. What is b(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:43 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -37*g + 762. Calculate h(20).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d - 2. Let t(v) = -1. What is b(s) - t(s)?\nAnswer: 11*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 - -22. What are the prime factors of x?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 27. Suppose -3*d = -q - 399, 3*d = -2*d + k*q + 669. Suppose -2*l = 10, -d + 23 = -j + 4*l. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 17. What is the greatest common factor of 12 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 11*z**2 + 7*z + 2. Is s(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/200)\/(1\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 1, x: 3, b: 3, v: 1, g: 6}. What is prob of picking 2 b, 1 d, and 1 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 - v - 1. Let z be y(-1). What is the second derivative of -37*p**z - p - 2*p**4 + 37*p**2 wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35854, 35857, 35860, 35863?\nAnswer: 35866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -4, -0.4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/2*2*-25 is divided by (-3)\/(-2) + 45\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 461*a**2 + 109*a + 338. What is the ten thousands digit of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-2)\/5)*1. Let w(x) = x**3 + 6*x**2 + 5*x + 5. Let g be w(d). Suppose -g*l - 3*a - 10 = 0, -5*l - 10 = 7*a - 2*a. Let p(n) = -4*n - 3. Give p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3108462 centimeters?\nAnswer: 0.000003108462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7*o + 860 = -9*o, 4*n + 868 = -4*o. Let i = n + 214. Solve -r = -5*g - 11, -g + r - i = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 16) to base 12\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:24 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-21 + 2 - (-122 - -109)) - -18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 913 and -18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**7\/84 + r**6\/10 + 3*r**5\/40 - 7*r**4\/3 + 4*r**3 - 211*r. Suppose y(w) = 0. Calculate w.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -15*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4 + 0 + 5 - 4 + v. Let a(w) = 34 + 32 - 65. Let k(b) = -b**3 - 5*b**2 + 7*b + 7. Let i be k(-6). What is i*x(h) - 5*a(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.35 - 16.35. What is the third smallest value in -1, o, 0.1, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*r**3 - 16308*r**2 wrt r?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 2*l**2 + 4*l)*(-3 + 3 + 4 + (-1 - 3 + 5)*(6 - 1 - 4))*(-242 + 529 + 865).\nAnswer: -11520*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -3. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4423 + 44339\/10. Let g be (-3)\/(-7) - (-174370)\/49. Let y = g - 35703\/10. What is the common denominator of y and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210222022000020 (base 3) to base 9.\nAnswer: -23868006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.782484l to millilitres.\nAnswer: 7782.484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*q**2 + 10159*q - 5081*q - 5078*q - 365*q**2 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 79*w + 5746. Let o be r(-125). Put -188, -5, o in decreasing order.\nAnswer: o, -5, -188","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/12 + 2*n**3\/3 + 2*n**2 - 12*n. Determine m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let w(z) = z**2 + 1. Let h(y) be the first derivative of -4*y**3\/3 - 6*y + 1. Let l(i) = -h(i) - 6*w(i). Determine l(q(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, q: 3, v: 3, f: 3}. What is prob of sequence vvyv?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 37\/(-7) - 4 - 168\/2646\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13894 - 1590?\nAnswer: -15484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 93899418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, h: 4}. Give prob of picking 2 t.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313314 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)*n\/(n*n**(5\/4)*n*n))\/(n*n**3\/n)**(1\/8) assuming n is positive.\nAnswer: n**(-103\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3591035 decades?\nAnswer: 0.003591035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 1) + -2*20\/8. Solve r*d = 4, d - 4*d - 7 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*a = -30, 178 + 137 = u + 31*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)\/d**(-4\/7)*d**(-2\/11)\/d**(-1\/4))**(21\/8))**(-38) assuming d is positive.\nAnswer: d**(-21033\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is a7140 (base 11) in base 4?\nAnswer: 212003310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*v + 10*v + 142702. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9 + 168.529244904.\nAnswer: 170.429244904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 - 27*y**3 - 315*y**2 + 4263*y - 12348 = 0. What is y?\nAnswer: -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -466 - -6?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z + 2864566 = 29346699. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -141, 5\/4 in decreasing order.\nAnswer: 5, 5\/4, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 879861, 1759946, 2640031, 3520116, 4400201?\n\"Answer: 880085*c - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**5 + 21*i**2 - 3*i**5 - 21*i**5 wrt i.\nAnswer: -1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/(-5)*(-8)\/144*-6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -442561 (base 7) in base 5?\nAnswer: -4442211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13810880 and 15537240?\nAnswer: 124297920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 14. Let q be f(6). Let p(s) be the third derivative of 4*s**q + 0 + 0*s - 2\/105*s**5 + 0*s**3 - 1\/84*s**4. Factor p(w).\nAnswer: -2*w*(4*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1580 - 1532. Calculate the greatest common factor of 192 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.062 + -0.238. What is the biggest value in 11, 2, s?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2830874 + 1051?\nAnswer: 2832035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16137443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*(-2 - -4). Let j be (-2)\/(r - (1 - -1)). Suppose -j*s = -6*s. Solve s = -4*w - 0*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + -2 - 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Suppose 2*p = -f + 23, -4*p + 5*p - b*f = -1. Find the third derivative of 2*r**2 - 9*r**3 + p*r**3 - r**6 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 16) + (-1)\/((-3)\/3). What is the closest to 1\/2 in -2\/9, 0, -1\/9, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from wfdtvva?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36586 + -62064. What is a rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmd when three letters picked without replacement from {u: 1, j: 4, m: 1, d: 6, w: 6}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 30*a + 0*a**2 - 27*a**3 + a**2 + 25*a**3 to the form j + s*a**2 + c*a**3 + y*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286049.\nAnswer: 286049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 9. Suppose 0 = -5*n + y*u - u + 141, 3*u = -5*n + 151. Suppose n = -4*z + 5*z. Solve -4*d - d - 5*l + 45 = 0, -5*l + z = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 137. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1202?\nAnswer: 240.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 5*z**3 + 40477*z + 14*z**2 - 12*z**2.\nAnswer: 5*z**3 - 4*z**2 + 40477*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6590 and 7908.\nAnswer: 39540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -66*g**2 + 239*g + 844. Give n(-3).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (163\/(-54))\/(4972\/1616). Let s = -1\/2486 + n. Find the common denominator of 115\/14 and s.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 5. Let s be u(-5). Suppose s = -4*z + c + 1997 - 420, 0 = -5*z - c + 1969. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/42240*-55)\/((48\/27)\/2)?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 57 = -3. What are the prime factors of (-3)\/o + (-24)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 821 or 804?\nAnswer: 804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69053814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**2\/2 + 3*r + 10. Determine m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 1. Let c(b) = -235*b**2 + b + 2. What is -c(m) - j(m)?\nAnswer: 239*m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -93. Suppose -18*n + f = -11*n. Suppose 2*b + n*s - 651 = s, -s - 318 = -b. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118042907 or 118042908?\nAnswer: 118042908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 228 = -3*r. Let b = -76 + r. Solve -2*o + 2*w = -b*o, -o - 2 = -2*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b - 1. Let f(y) = -2*y**3 + 4*y**2 + 4*y - 4. Let o(v) = -f(v) + 2*n(v). Determine h, given that o(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-3)\/6*10. Suppose -4*r - 5*g = -7*r - 3135, -15 = -k*g. Round r to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78219406?\nAnswer: 2, 37, 1057019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2118808\/15 - -141256. Find q, given that u - 2\/15*q**2 - 4\/5*q = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 4 (c) 18 (d) 3\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3944 - 3958. What is the smallest value in 4\/11, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 1.1. Let d = 1.0999953 - o. What is d rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*d = -n + 1001, 4948 = 5*n + d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(304)*-5)\/(-1*1*sqrt(8)))\/((sqrt(10) - (sqrt(10) - sqrt(250)*2))\/(sqrt(25)\/(sqrt(20)\/sqrt(4)))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g + 55. Let c(j) = j**3 + 10*j**2 - 14*j - 3. Let u be c(g). Let f = 4 + u. Calculate the remainder when 167 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 11\/1409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 - 39206*j**2\/3 - 64091984*j - 448003752.\nAnswer: -2*(j + 7)*(j + 9798)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*9\/(-45)*(-160 + 2) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwitiwv. Give prob of sequence vit.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = -5*f, 4*f = -i - 0*f + 21. Let v = 5.09 + -0.09. Let n = -10 + v. Which is the closest to -1? (a) i (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 534822394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4622891 a multiple of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, 27, 0 in increasing order.\nAnswer: -26, 0, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 7*l**3\/6 + 59*l**2 + 60*l + 1. Calculate the smallest common multiple of 55 and v(-9).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**4 + 175*p**3 - 4555*p**2 + 29925*p - 60750 = 0?\nAnswer: -54, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2. Let b(r) be the first derivative of -1\/2*r**2 + 3 + 0*r. What is b(n(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-5)\/(-225)*-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144819 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 2544 = -15*y. Let j = y + -636. Is 212 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuttkuuuutkyttp. What is prob of sequence tu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12098020 is divided by 11555.\nAnswer: 11490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, 0.1, -4, 611?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 203629, 203615, 203583, 203533, 203465, 203379, 203275?\n\"Answer: -9*f**2 + 13*f + 203625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*s = -13*s. Solve -4*z - 3*h = 1, 4*z + 4*h + s*h = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-17)\/33 + (30\/(-9))\/(-10)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100010000100010111 - -111111?\nAnswer: 101100010000101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-12)*78\/741\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + j - 1. Let o(u) = -2*u**2 - 1. Let x be o(1). Let t(f) = 6*f**3 + f**2 + 2*f - 3. Let n(w) = x*t(w) + 8*y(w). Is n(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 442503652?\nAnswer: 442503645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*q - 4*c**3 - 1538542*c**2 + 9673*c*q - 270*c - 11 wrt c?\nAnswer: 6*c*q - 24*c - 3077084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 11:48 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*w - 11, 4*w - 2*n - 2 = -0*n. Let l(g) be the second derivative of g**4\/6 + g**3\/6 - g. Calculate l(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-2 - (-16)\/9). Let w = 11009 + -11008.96. Which is the smallest value? (a) d (b) 0.6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 19. Let n be v(17). Calculate the greatest common factor of 20 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:16 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312 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: In base 16, what is cc3bbb - -1?\nAnswer: cc3bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:43 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 8.321, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17057531399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/8)\/s*s*s**1)\/(s**4*s**(2\/19)\/s))\/(s\/s**(-2\/3)*(s**4\/s)\/s)**(1\/10) assuming s is positive.\nAnswer: s**(-5351\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 4*y**3\/3 + y**2 - 6*y + 2. Let a be k(-6). Suppose -5*p + 632 = -3*r, p + 0*r - r = a. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 - 5064*g + 218944 = 0 for g.\nAnswer: 44, 2488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*m - 373 = 0, -3*h + 921 = 2*h + m. Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1487 + 1490. Let g(d) = -2*d - 6. Let t be g(-5). Which is the nearest to i? (a) t (b) 3\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -7. Suppose r*a = -1 + 9. Let s be (a - 2) + 7 + 4. Calculate the greatest common factor of s and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.04486 millilitres to litres.\nAnswer: 0.08004486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-93)*1)\/2*163\/((-5868)\/(-72))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-2\/9)*c*c*c)\/c)**(-12)*c\/(c*c\/(c*((c**1*c*c)\/c)\/c))*c*c*c**(2\/15)*((c\/c**(-5))\/c*c**(-1\/11))**(-9) assuming c is positive.\nAnswer: c**(-4751\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4) - 56\/(-16))\/1. Suppose 2*k = 4*r + 480, -2*k - f*r = -0*r - 452. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3585*c + 45 - 85 + 39.\nAnswer: 3585*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let o(p) be the second derivative of -5*p**3\/3 + 3*p - 89. Calculate g(o(y)).\nAnswer: 200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 6*o - 28. What is y(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221111000120 (base 3) to base 6.\nAnswer: -14430023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 77. Let s = -72 - t. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -351, -2, 3, -13, 6 in decreasing order.\nAnswer: 6, 3, -2, -13, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/15 + n**4\/3 + 5*n**3\/6 - 157*n**2. Suppose -7 = 5*f + 2*o + 18, -5*o = 5*f + 25. What is the units digit of g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*j - 4, 2*f + 20 = 7*f + 4*j. Suppose 0 = -f*t + 2 + 14. Put 5, 3, t in increasing order.\nAnswer: 3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173987*d**3 - 164126*d**3 + 79426*d**3.\nAnswer: -258687*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine sixteenths of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**3\/x*x))\/x)\/(x**(-4\/9)\/x))**(-3))**(-1\/25) assuming x is positive.\nAnswer: x**(-14\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2.03, 0.4, 3, -429, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3725 + 3725. Solve d = -204*k + 194*k + 50 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f. Let q(m) = -1428*m - 1. What is u(q(a))?\nAnswer: -9996*a - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8*m + 372 = 0. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-22*8\/64\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3918*u + 15810. Determine v(4).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 10. Let l be c(10). Let f = 5 - l. Suppose 0 = -3*r - f*t + 483, 295 = 5*r - 5*t - 510. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5015390 (base 10) to base 13\nAnswer: -1067ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078, -1149, -1268, -1435, -1650, -1913?\nAnswer: -2224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 24*j**2 + 32*j.\nAnswer: 4*j*(j - 4)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 0 + 0)*(-3*d - 2*d + 3*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:21 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1226 - -10.4.\nAnswer: -1215.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3\/3 - 218016*u**2 - 8911840028*u + 53473656392\/3 = 0. What is u?\nAnswer: -81757, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h - 3*h**4 + (1 + 4*h - 1)*(2*h**3 - 2*h**3 - 2*h**3) + (h + h - h)*(3*h**3 - 4*h**3 + 3*h**3).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + z + 2*z**2)*(-99 + 228 - 95).\nAnswer: 68*z**2 + 34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 + 199 = -2*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and ((-28)\/5)\/((-33)\/165).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 3\/2, 2\/13, -0.38, 2, -1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 49, 73, 99, 127, 157, 189?\n\"Answer: k**2 + 19*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.3? (a) -20 (b) 4\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q. Suppose 5*o + 3*x + 0*x = 195, -x = q. Let m = 34 - 20. What is the remainder when o is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -3*s**4\/4 + 16*s**3\/9 - 5*s**2\/6 - 2*s\/3 - 6. Find q such that x(q) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1065 and -1066 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555630370.\nAnswer: 2, 5, 55563037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from uuuumccggcgmyumgcg.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*a - 4*a - 90*a = -0*a + 4433 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -87. Let o = r + 50. Let s be (-1)\/6*4\/6. What is the second biggest value in o, s, 1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 472?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(1\/2))**(-38)*k\/k**(-2)*k\/(k**14*k) assuming k is positive.\nAnswer: k**(-106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let j = -0.2725 + -0.7267. Let a = z + j. Round a to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i - 8. Suppose 18 = -i*o + 4*p, -3*p = -5*p + 10. Let j = -64\/21 - -10\/3. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1007137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-1 - -7) - (24 - 35)) + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*f - 4. Suppose -u - u + 5*r + 15 = 0, -4*u - 45 = f*r. Let p(x) = -9*x + 14. Let q(z) = -14*z + 21. Let y(c) = u*q(c) + 8*p(c). Determine y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -283917, -567832, -851747, -1135662, -1419577?\n\"Answer: -283915*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**2 - 562*h + 25. What are the prime factors of v(77)?\nAnswer: 3, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01604442 - 3.\nAnswer: -2.98395558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 76\/5 of a micrometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**8\/7 + 5*m**4\/12 - 5*m. Find the third derivative of r(t) wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-18))\/(6\/24*4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.94 + -13. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 1\/5, 54, 25, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2467 is divided by 629?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-87)\/(-27) - 2\/9. Suppose 2*g + 4 = -3*a + 19, 5*g = 4*a + 3. Let z(p) = -5*p - 7. Let u be z(-2). Solve -s*r + a = -u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 - 6*f + 8. Let s(k) = -k**2 + 2. What is -3*s(i) - y(i)?\nAnswer: -2*i**2 + 6*i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2794 is divided by 85?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1072\/(-39798)*33)\/((-4)\/54*-111).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 7*l + 2. Let x be b(-7). Let p be (3 + -3)*(-1)\/1. Suppose p*d - x*d + 14 = 0. What is the lowest common multiple of 1 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 693 - 388. Let w = j - 173. What is the highest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 >= 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1716)\/(-308))\/(21\/98).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*p = -835646, 4*o = 14*p - 11*p + 1671259. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1581?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - -1. Let c(p) = -5*p - 7. Let v be c(5). What is the remainder when s is divided by ((-21)\/(-14))\/((-6)\/v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119?\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i - 2. Let p = -203 + 201. Put 5, p, i in descending order.\nAnswer: 5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*i - 8 = 0, 5*c = 3*i - 1 - 3. Let r = 0.1 - 0.3. What is the nearest to -1 in 1, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3 = -2*t. Let z(p) = -p**2 - 1. Give z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -2*z. Let m = 14 + z. Solve m = 5*t - 3*j, 2*t = -5*j + 9 + 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 = -3*p - 1, -3*v - 15 = 4*p. What are the prime factors of 37\/p*-3*1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -5*u - 6, -u + 3*a - 2*a = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 396 = 3*v - 5*v, -2*v + 4*p + 392 = 0. Suppose 3*m - 7*m = -160. What is the greatest common factor of v and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17443.\nAnswer: 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(1\/16)*z**(11\/3) assuming z is positive.\nAnswer: z**(221\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 1. Let y(p) = 229*p - 6. Let z(a) = 4*j(a) - y(a). What is the tens digit of z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 3194*u - 29 + 12863*u to j*u + z and give j.\nAnswer: 9669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 224*j**2.\nAnswer: -224*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 672\/60 + (-18)\/(-10) + -2. Suppose 0 = -y - 2*z + w, -y + 6*y - 23 = -2*z. Let x = -35 + 43. Solve x = -4*b - 5*v, -y*b + 4 - 10 = -5*v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-6))\/t*t)\/t*t**(-7))\/((t\/(t\/t**(-3)))\/(t\/(t*t\/(t*t**1)*t*t))) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10142 (base 5) to base 3\nAnswer: -220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -21022?\nAnswer: 21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -18*w**2 - 16*w - 25 + 3*w**2 + 5*w**2 + 8*w**2 + 9*w**2. List the prime factors of k(9).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32203062 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207518 and 860.\nAnswer: 2075180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 3 + 0 - v + 0*v. Let n be y(4). Let j be n\/2 + 2\/(-4). Solve a = -j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1175*i*p**3 - 5*i*p**2 - 45*i + 2*p**3 wrt p?\nAnswer: -7050*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3347.888 milligrams to grams.\nAnswer: 3.347888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -0.5, -113, 0.0384?\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/3, 0.1, 0.3 in descending order.\nAnswer: 1\/3, 0.3, 2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3376 - 3375.9997764. What is r rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13987927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -6 - 0) + (-543)\/(-8). Let s = -73 + d. Find the common denominator of s and 125\/(-6)*3\/(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5377999 or 5378010?\nAnswer: 5377999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) + (-38)\/8. Let m be ((-6)\/45)\/(1\/3). Let o = 45 - 45.1. Which is the nearest to o? (a) y (b) m (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-6*-4*sqrt(4)) + 1 + (-5 + sqrt(125))**2.\nAnswer: -1199*sqrt(5)\/24 + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78878075063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3584379 is divided by 173.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239143.\nAnswer: 89, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4\/3 - 45*p**3 - 115*p**2\/3 + 2205*p - 6370\/3 = 0. What is p?\nAnswer: -7, 1, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(14)\/sqrt(2)) + 4*sqrt(90))\/(((sqrt(144)*-1)\/sqrt(9))\/sqrt(8)).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4\/2 + 30*m**3 + 207*m**2\/2 + 123*m + 48 = 0. Calculate m.\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 256840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-188)\/(-20) - 15\/(-25). Suppose -2*a - j = -2*h, -29 = 4*a + h - 9. What is the fourth smallest value in 1\/3, 4, -0.5, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 - -0.26. Let h = -7.6 + 13. Let i = h - v. Sort 3\/4, -0.2, -0.3, i in decreasing order.\nAnswer: i, 3\/4, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -15*u + 2*i, -u + 10*i = 14*i - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 5:34 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -14. Let g be (1*6\/(-9))\/((-18)\/81). Solve f = g*u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1067769*t. Let d(j) = 17*j**2 - 4. Determine d(y(a)).\nAnswer: 19382220835137*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12155952293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/9)\/z*z)\/z)\/z)\/z**(-4\/7)*(z*z*z**1)**(-26) assuming z is positive.\nAnswer: z**(-5018\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129900.\nAnswer: 2, 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -105, 2, -5, -2 in increasing order.\nAnswer: -105, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 5) to base 2.\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -275 - -292 - (1 - -49)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/20 and -83\/4860.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - x = 8, 4*u - 16 = -4*x. Suppose u*i + 3*d = 80, -4*i + 4*d = -59 - 21. Let q(w) = i*w + 0 + 4 - 4. Let k(h) = 2*h. Determine q(k(v)).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 + 790*u**4 - 2344*u**3 - 13418*u**2 + 30713*u - 15740 = 0. Calculate u.\nAnswer: -4, 1, 5, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354 (base 6) to base 9.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 412554 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-5))\/(12\/(-30)). Let v(i) = 5*i**2 - u*i**2 - 2*i + 5 + 2*i**2. Let c be v(3). Calculate the greatest common divisor of 65 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1197611 is divided by 1222?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4088 - -7507. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90270\/(-1180) - (2 - (-14)\/1))*(-4)\/(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 395388072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 + -9) - (3 + 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -1d?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 58, 157, 348, 661?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6467 is divided by -21*30\/(-5)*(-16)\/(-24)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50157*j**3*t**2 - 173089*j**3 wrt t?\nAnswer: -100314*j**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 + 9*s**2 + 2*s - 165. Let j(x) = 3*x**3 - 11*x**2 - 3*x + 159. Calculate 4*j(m) + 5*l(m).\nAnswer: -3*m**3 + m**2 - 2*m - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2300 and 97\/8050?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (-2 + sqrt(343)))**2*3 + (sqrt(343) + sqrt(343) + 2*sqrt(343) + 5)**2 - (-2 + -1*sqrt(343) + (0 + sqrt(343) + -4 - sqrt(343))))*-5.\nAnswer: -27655 - 1435*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.9, 19.7, -0.01, 1 in ascending order.\nAnswer: -0.2, -0.01, 0.9, 1, 19.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 3*z = -78. Suppose -3*o + 189 = -0*o. What is the units digit of o + 0 - z - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1026 and -35\/209?\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 - 3*f + 12. Calculate s(5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:15 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -774657\nAnswer: -1\/774657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4 = 9. Suppose -4*m = 3*c - 4, -4*c - 1 = -2*m + s. Is m at most -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 9*y - 16*y)*(0 + 3 - 1)*(3 + 3 - 4).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 215385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(85) + 5*-2*sqrt(85) - sqrt(85)))\/((sqrt(245)*-1 - sqrt(245))*-2).\nAnswer: -5*sqrt(17)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4774910 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 + 178967*i**2 + 178958*i**2 - 536889*i**2 + 178964*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -25. Suppose c = -i + 5 + 5. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u + 20*u - 30876. Is u a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.986903 millennia in centuries?\nAnswer: 89.86903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -5*o**3\/2 + 25*o**2 - o + 34. Find the first derivative of i(f) wrt f.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21604572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:14 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*q + 1. What is the units digit of (-1 - q)\/(1\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 28*d + 259. Let o be w(-14). Solve -8*x + 1 = -o for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, -3934, -2, -5.\nAnswer: -3934, -5, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:15 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157753.\nAnswer: 73, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 52969126 divided by -26484563\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*102*(-12)\/(-48).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/264 and 97\/1232.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**4)\/(y\/(y\/(y*y*y**(-18\/5))))*y**(-21)\/(y*y**20) assuming y is positive.\nAnswer: y**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 5, 1, -1140 in descending order.\nAnswer: 5, 2, 1, -2, -1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 16*g + 15. Let y(q) = 3*q. What is y(z(p))?\nAnswer: 48*p + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 50, -12, -182, -496, -990, -1700, -2662?\nAnswer: -3912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 5*m**2 - 4*m + 10. Let h(l) be the first derivative of l**4\/4 + 17*l**3\/3 - 13*l**2\/2 + 95*l + 73. Let o be h(-18). What is r(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4052*p = -3998*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 10*y**2 + 5*y**2 + 191 - 196.\nAnswer: -6*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029881020?\nAnswer: 2, 5, 7, 1050899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -13. Let x = -6 - n. Factor 15 + 11*a**x - 22*a + 12*a - 20*a**2 + a**4 + 4*a**4 - a**3.\nAnswer: 5*(a - 1)**2*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 3 - 1) + 14. Let y = 16 - q. Let h(p) = 41 + p + 0*p - 48 + 0*p. Determine h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f = 16*f + 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r + 25 = 0. Let s be r*(-1 + 1\/5). Suppose -4*x = 3*v - 9 + 1, 4*x = -s*v + 12. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26919 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:50 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.2. Suppose 4*k - 42 = 4*i - 478, 0 = -4*k - 2*i - 430. Let u be (-2)\/(-18) + (-24)\/k. Which is the closest to -0.1? (a) y (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305d2 (base 14) in base 13?\nAnswer: -40caa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 62010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -4*sqrt(252))\/sqrt(9).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/237 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*g**2 + 1 + 0 + (0*g + 4*g - 3*g)*(-g - 2*g + 4*g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2834 + 2834 - 1065*r.\nAnswer: -1065*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -675 + 678. Let i = -60 - 64. Let p be 1 - i\/8*2. Solve -4*a + 15 = 5*b, d*b - 9 = 4*a - p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6167 - -13276. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 8. Let h be y(-5). Let l(m) = 3*m + 3*m**2 + 4*m**2 - h*m**2 - m**2. What is l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/20 - s**4\/3 + 5*s**3\/6 - 5*s**2 + 17*s. Let j be g(4). What is j rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006430004 to five decimal places.\nAnswer: 0.00643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 79*o. Let n(b) = 7*b + 10. Let m(y) = 3*y + 4. Let v(w) = 15*m(w) - 6*n(w). What is v(k(l))?\nAnswer: 237*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = -383 + 1065. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(((d*d\/d**(-1\/8))\/d)\/d)\/d*d*d**(-23)*(d**(1\/3)*d)\/(d\/(d*d**19*d)) assuming d is positive.\nAnswer: d**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 4*t - 2. Let p(l) = 6*l**2 + 9*l - 4. Let a(i) = -3*p(i) + 7*w(i). Determine a(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5\/5 + 11*r**4 - r**3\/5 - 11*r**2 = 0.\nAnswer: -55, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3840570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 24 + 11. Suppose -3*f - t + 1051 = -0*t, 3*f = l*t + 1063. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*k - 63*k - 108 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (5 + -72 - -95).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 671933 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c - 2*c + 6*c + 5 + 5 - 3*c - 12 + (-2*c + 4*c + 0*c)*(3 - 4 - 2))*(-4*c**2 + 3*c**2 - c**2) to the form z*c**3 + h + o*c**2 + f*c and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 53. Let x be 3 + (104\/(-16))\/(g\/(-4)). What is the smallest common multiple of 16 and (-4)\/x*-12 + (0 - -23)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*x**2 - 90*x**2 + 49*x**2 - x - 2)*(2*x**2 - 2*x**2 + x**2 - 1).\nAnswer: 2*x**4 - x**3 - 4*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 301*125\/(-5375)*-5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 199*b - 3787. Determine z(23).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23131321022 (base 4) in base 7?\nAnswer: -34356632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 1811*k**6\/120 - k**5\/60 - 17*k**4\/24 - 5*k**3\/3 - 885*k**2. Find the second derivative of j(z) wrt z.\nAnswer: 10866*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 5*y + 6. Let n be p(6). Suppose -19 = -3*u - 5*h, 3*u + n*h - 4*h = 1. What is the derivative of 1 + 1 - u + f wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41aa + 0?\nAnswer: -41aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 3*q**2\/2 + 49*q - 24. Let h be g(-9). Solve -4*w + 2 - h = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912\/(-456) + (-2)\/3 + (-945)\/(-135)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -92 and -1664.\nAnswer: 153088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) -7\/6 (c) -37 (d) 0.2 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/105*75\/(-240)*4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15707067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11956215 to the nearest integer?\nAnswer: 3458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 0 + 1)\/(30\/(-150)). Suppose -3*l - z*k + 6 = -2*k, -4*l + 23 = -k. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(sqrt(700) + sqrt(700) + 1)*5*3)**2.\nAnswer: 82800*sqrt(7) + 5672116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/25)\/(2\/(-50)). Let j(k) = k - 1. Let l(b) = 5*b**3 + 12*b**2 - 9*b - 6. Let t(r) = -3*j(r) - l(r). Is t(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*j*s - 4*j + 19*s**2 - 5*s - 1802 with respect to s.\nAnswer: 23*j + 38*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.86064 rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5232.37 millennia?\nAnswer: 523237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -215?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/42*-52 - (-1)\/((-3)\/21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7413, -4355, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380515935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atqpnpl. Give prob of sequence apl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -329443*v**4 + 124219*v - 2?\nAnswer: -3953316*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42016606.493633 + 42016587. Let m = -7.49364 - a. Let q = m - 12. Round q to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 + 0*r**3 + 0*r**3 + (2*r**2 + r**3 - 2*r**2)*(-2 + 4 - 3) - 2*r**2 - r**3 + 2*r**2 + (r**2 + r**2 + 0*r**2)*(-2 + r + 2).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/15 and -16\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*t**3 + 59*t**3 + 60*t**3 - 184*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1014?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 420 divided by -210\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**9*h**6*h\/h**(-12)*h**(3\/5)*h)**(5\/8))**(-3\/8) assuming h is positive.\nAnswer: h**(-111\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.336?\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1354173600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v\/(v**1*v)*v)\/v*v)*v*v\/(v**(1\/10)*v))**(-48))**20 assuming v is positive.\nAnswer: v**(-864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1322*u + 1314*u = -16. Let w = -12 + 18. Solve 7*m - 2*m - 2*y = w, 2*m - u*y = 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3978056, 3978054, 3978050, 3978044, 3978036, 3978026?\n\"Answer: -v**2 + v + 3978056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/12)\/((-9)\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 320767*v**2 + 320760*v**2 - 641527*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*l + 5*a - 4, 0 = -l - 3*a + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 9:54 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 + w + 132. Let t be p(0). Let s be ((-20)\/6 + 2)\/(t\/18). What is the second smallest value in s, 3, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320 - 5*n - 316 + 636.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 41 = 5*s - a, 2*s = -5*a + 21. Suppose -3*h = 5*t - s*h - 275, 4*t + 5*h - 247 = 0. Calculate the remainder when t is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + 0*z)*(-11*z**2 + 3*z**2 - 12 + 9*z**2)*(0*z - 4*z + 3*z).\nAnswer: -2*z**4 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 6. Let g be r(4). Let f = 18.05 - 18.1. Let v = f - 2.75. Which is the second smallest value? (a) v (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1113783917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/((-144)\/39)*-2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115880813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 20*f**2 - 14*f - 29. What are the prime factors of x(-20)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 16, -12*d - v = 161 - 13 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-4)*-2 - -6. Let s(q) = 4*q**2 + 29*q - 86. Let o(m) = -4*m**2 - 30*m + 84. Let l(x) = w*s(x) + 3*o(x). Factor l(k).\nAnswer: -4*(k - 2)*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52908834*b - 132030591 wrt b?\nAnswer: -52908834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -177?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (303\/707)\/((-6)\/546). Suppose 2*j - 3 + 13 = 0. Put j, 2, s in decreasing order.\nAnswer: 2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21910, 43775, 65652, 87547, 109466?\nAnswer: 131415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -5074276.\nAnswer: -5074271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 6. Let w(u) be the first derivative of -3*u**2\/2 + 5*u - 5821. Calculate 3*w(p) - 4*x(p).\nAnswer: 3*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + i + 3, 2*r + 4*i - 8 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.9 - 70. Let a = l - -1.1. Let y = 10 - a. What is the second smallest value in -1\/4, -1\/9, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:13 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 17)*(-1 + 1 - m)*(-2*m + 2 - 2) to v*m + w*m**2 + a and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 36\/11, -0.2, 2 in decreasing order.\nAnswer: 36\/11, 2, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/387 and 71\/36?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6377, 12695, 18997, 25277, 31529, 37747, 43925, 50057?\n\"Answer: -f**3 - 2*f**2 + 6331*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let j(u) = -1836519*u. Determine b(j(p)).\nAnswer: 1836519*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*b + 706 - 679 = 0, -f - 4*b + 33 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*k - 44 = 0, 2*w + 2*k - 52 + 18 = 0. Suppose w = -i + 5*i. Suppose 171 + 29 = i*h. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w. Suppose -4*k = b - 20, 5*k - 3*b - 10 - 15 = w. Sort k, 2, -2 in descending order.\nAnswer: k, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*j = 25, 2*g + j + 187 = -35*j + 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwswsswwwswwsswswsw. Give prob of sequence ww.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839184769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1274 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*d - 3*c - 198, -192 = -3*d - 4*c. Is 34 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from klmllkklklkkklkklk.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/(9\/(-48)). Suppose 9*m = x*m + 4. What is the remainder when 9 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1413)\/(-21) - (-6)\/(-21).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -6. Let d = -6524 + 6529. What is the closest to n in -0.4, 3, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1476456, 1476534, 1476612?\n\"Answer: 78*w + 1476378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26068644 divided by 554652.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 80, 174, 304, 470?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 406 - 3?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 51?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 4*b**2 + 2*b**2)*(4 - 4 + 3*b**3) + 35*b**4 - 12*b**5 - 35*b**4.\nAnswer: -9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6*w = 110. What is the remainder when w is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354 divided by -8.\nAnswer: -177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3660078289?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*t**4 + 14*t - 65.\nAnswer: 156*t**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25896?\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.06 + -1.06. Let k = 15 - o. Which is the nearest to -1? (a) -5 (b) k (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 862882506 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -d9b?\nAnswer: d96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - j**2 - 3*j + (2*j - j - 2*j)*(0*j - 3*j + 2*j) + 17*j**2 - 17*j**2 + 36*j**2 as p + z*j + r*j**2 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19822*x - 1088*x**2 - 1090*x**2 + 3262*x**2 - 7924*x - 1082*x**2.\nAnswer: 2*x**2 + 11898*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 v when three letters picked without replacement from vqvjojoqjqqqq?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33510318 divided by -7\nAnswer: 33510318\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 15085465, -1 in ascending order.\nAnswer: -1, -0.5, 15085465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(180) - (5 + sqrt(180) + -1))**2)*-3.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*m + 5*t, -37*t - 4 = -3*m - 41*t. Suppose 0 = 4*q - 5*k - 39, -4*k - 42 = -4*q - q. Let w be 53\/2 + (-9)\/q. Is m at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 29\/3*j**3 + 8*j - 1\/5*j**5 - 13*j**2 + 11 + 1\/6*j**6 - 11\/4*j**4. Suppose l(z) = 0. What is z?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 + 1 = 0, -3*v = -5*c + 28. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 10084, 4 in increasing order.\nAnswer: -7, 4, 10084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.3 and -427?\nAnswer: 423.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*x - 34 = -6*x, -2*z + 5*x + 25 = 0. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 9)\/((56\/12)\/7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7647370 by -1.\nAnswer: -7647370","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 168994, 338063, 507130, 676195, 845258, 1014319?\n\"Answer: -l**2 + 169072*l - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142)\/(-46) + (-4 - -6) + -5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.45 + 16.45. Put 0, g, -1\/21, -1 in decreasing order.\nAnswer: 0, -1\/21, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 - 9\/(324\/(-456)). What is the second biggest value in -13, 5, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231 + 242. Calculate the greatest common factor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, g: 4, l: 5, z: 3, y: 1}. Give prob of picking 1 o and 2 g.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*r + j, -4*j = -7 + 27. Calculate the highest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1065 = -5*g, -o = -2*o - g + 353. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -60*h - 7. Let g(f) = -2*f. Calculate k(g(p)).\nAnswer: 120*p - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6.5. Let r = 0 - 1. What is the smallest value in r, 0.4, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19734.88 kilograms in nanograms?\nAnswer: 19734880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2979 from -94.\nAnswer: -3073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 34?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 smaller than -1\/707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -110*a**2. Let r be (-91)\/28 + 3 + (-17)\/(-4). Let o(c) = 5*c + c - 4*c - r*c. Calculate o(b(q)).\nAnswer: 220*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4515328?\nAnswer: 4515328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 926, 930, 936, 944, 954?\n\"Answer: y**2 + y + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -16, 3, -0.2, 3\/7, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -66\/233 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 151, 143, 119, 73, -1, -109?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -21, 3 in descending order.\nAnswer: 8, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d + 5. Let f(t) = -6*t - 6. Let v(y) = -6*f(y) - 7*l(y). Let x be v(4). Solve -n + 2 = -i - 1, 5*i - n - x = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d - 8. Give v(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by ((-18)\/(-27))\/(4\/114)*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3569647kg in nanograms?\nAnswer: 356964700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-32)*(-126)\/(-1) and (4 - 1) + (-17)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/10*4)\/(-6*(-32)\/(-1280))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 43*i - 42. Calculate the remainder when ((-52)\/7)\/((-9)\/189) is divided by o(-23).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 30*o**2 - 14*o - 88. Let i be a(30). Let v be 4*1*68199\/i. Do -536 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -382 - -421. Is ((4\/(-2))\/4)\/(n\/(-65442)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69507330 divided by -30?\nAnswer: 2316911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940.3418 kilometers to micrometers.\nAnswer: 940341800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.036, -12, -2\/7, 2, -0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (1 + sqrt(1700))) + sqrt(1700))*-6.\nAnswer: -60*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 226? (a) -0.4 (b) 0.1 (c) 0 (d) -10.9 (e) 10 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4197 to 2 dps.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 12 + 35. Calculate the highest common factor of k and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qssq when four letters picked without replacement from {q: 5, s: 14}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41637839833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7500\/59 != -4\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 5. Let p be z(4). Let h = 49 + p. Calculate the greatest common divisor of h and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4170 - 4219. Which is greater: a or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.55 and 3?\nAnswer: 7.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1357664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 28 + 65 = 2*q, 0 = -4*q + x + 207. Calculate the remainder when 202 is divided by q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163991074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 - 100. Suppose 11 = -o*y + 20. Solve -y*b = 5*t - 9, 1 = 3*b - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*z + 354 = 21. Let j = -5 - -7. Put 1, j, z, 0 in increasing order.\nAnswer: z, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467.1*-6.8.\nAnswer: -3176.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 = -5*n - 73, 0 = a + 2*n - 18. Suppose 28 = -i + a. List the prime factors of (2\/i)\/(2*1\/(-738)).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71501046 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12803328 and -89\/111140.\nAnswer: 64016640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*l - 20 = 0, -18*r = -23*r - 3*l - 12. What is the nearest to 0.1 in r, 43, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/4 + 2*p**3\/3 - p**2 - 354. Let r(q) = 2*q**3 + 4*q**2 - 5*q. Give 9*i(j) - 4*r(j).\nAnswer: j**3 + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-280)\/(-6))\/(-15*30\/(-4725)) is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 g when four letters picked without replacement from gkviiavqigiigvvkggii?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 7 - -6) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16148 is divided by 489.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 - 76 = 15*t + 4*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - 22. Let d = 126 + v. Let o = 71.18 - d. What is o rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Let n be (-52)\/117 - 24\/(-54). Solve n = -0*c + h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7369 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w - 2. Let l be u(-2). Suppose j = 6*j - 5*s - 25, -l*s - 20 = 0. Let o be j - -1 - (5 - 3). Is o > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 739110?\nAnswer: -739111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1091472 by 16.\nAnswer: 68217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 3*p - 45. Let t(q) = 3*q**2 + 5*q + 75. Let b(s) = 3*t(s) + 5*w(s). Let k(u) = u**2 - 103*u. Calculate k(b(o)).\nAnswer: o**4 + 103*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 4*n**2 - 6*n - 5. Let q be f(-5). Suppose 2*m + 4*b + 12 = q, -3*m + 7*m = b - 6. Let j(d) = d**2 + 3*d + 3. Calculate j(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255\/(-3944)*(-304)\/190?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -44610040?\nAnswer: 44610042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59, 58, 57, 56, 55, 54?\n\"Answer: -v + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 8. Calculate f(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 1, c: 2, o: 1}. Give prob of picking 1 d and 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 42. Let l(p) = -13*p + 124. Let o be l(11). Determine k(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 4c?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b*b*b**(-6))\/b)*(b**(1\/3)\/b)\/b*b*b)**(-12))**38 assuming b is positive.\nAnswer: b**(-1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymjmyyymyyyyqqyymyy. Give prob of sequence qjym.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2485421?\nAnswer: 2485421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2289225 rounded to the nearest one thousand?\nAnswer: -2289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -38*n + 8. Let u(a) be the third derivative of -13*a**4\/24 + a**3\/2 - 3*a**2 - 202*a. Calculate 6*t(m) - 17*u(m).\nAnswer: -7*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1351712849 - -1351712859.19999957. Let g = c + -10.2. What is g rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354 by -379.\nAnswer: -354\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7543 divided by -7\nAnswer: -7543\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(330)*-1 + sqrt(330))\/sqrt(10)*-4)\/(-6*(sqrt(3) - (sqrt(3) - sqrt(21)\/(sqrt(28)\/sqrt(4))))*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17703 + 17725. What is the lowest common multiple of 121 and t?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -11 - 21. What is the units digit of 9\/(-6)*(-4 + l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5*3\/30)\/((-2)\/(-1)). What is the nearest to h in 3, 40, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 1:59 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**2 + 1\/2*x**4 - 2*x + 0*x**3 + 0. Let h(j) = j**2. What is h(z(k))?\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1528.7696 rounded to the nearest ten?\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.947012317 - -23.947. What is y rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 1668196.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -1969*l**8\/168 - 27*l**4\/2 - 276*l**2 + 2*l - 6. What is the second derivative of y(n) wrt n?\nAnswer: -78760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13)\/(f**(-2\/63)*f))\/((f**(-6)*f)\/f)**(-43) assuming f is positive.\nAnswer: f**(-17134\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. What is the remainder when w is divided by 2*(9\/6)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 29*z**2. Let y(a) be the first derivative of -a**3\/3 - 4. Determine y(q(j)).\nAnswer: -841*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 77560059713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 820 and 141?\nAnswer: 115620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 2. Let f(u) = -439*u - 1762. Let n be f(-4). What is l(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o**3 - o + 1. Let f be b(1). Let d(k) = k**2 + 79*k - 1459. What is the remainder when d(-95) is divided by 4\/(-10) + (-164)\/f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 5*u**2 - 4*u. Let m be x(4). Suppose m = -f - 3*f + 56. Suppose 3*r = 1 + f. Solve -9 = r*i - 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74783.\nAnswer: 17, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 440410 (base 6) in base 13?\nAnswer: 1377c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -237756, -237691, -237624, -237555, -237484?\n\"Answer: g**2 + 62*g - 237819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-33)\/(-132))*(1 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhj when three letters picked without replacement from {k: 1, z: 1, h: 1, i: 1, d: 1, j: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2268*c - 1553571. What is m(-685)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 298180880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/786)\/(7820\/306 - 25). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24591 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (14 - -38) - (27 - 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -7, -1, 80, 0, 9 in descending order.\nAnswer: 80, 9, 0, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12336310639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - t - 2*t + (-4 - t + 4)*(-2 + 0 + 1) + (0*t + 6*t - 4*t)*(3 + 4 - 1).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 58. Let f = 59.5 + b. Round f to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-721)\/10815*35\/14.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**2*m**4 - i**2*m**2 - 935*i*m**4*w + i*m**2 + 17*m**2*w wrt m?\nAnswer: -48*i**2*m - 22440*i*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 12 = -12*c. Suppose -5 = 5*m + 4*j, -j + 5 = -c*m - m. Let y(o) = 7*o**2 - o. Determine y(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 702772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -0.0373. Round u to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 11*t + 38 = 0, 2*t - 58 = 2369*b - 2365*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g - 2. Let n be z(3). Suppose 5*u = -4*w + 3*w - 21, -n = -2*w + 3*u. Let s = 4 - w. Solve 2*y + 4*l = -6, 0 = 5*y + s*l + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4 + (-2)\/(-4). Let t(m) = -m + 4 - 1 + s*m. What is t(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101001100101011110 (base 2) in base 5?\nAnswer: -221104031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/((392\/(-63))\/14)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 6, 569, 1, -5 in descending order.\nAnswer: 569, 6, 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-26 + 11)\/(2\/(-6)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8945*g - 110. Give n(0).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27736895 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 1536ac84?\nAnswer: -1536ac85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-4))\/(((-96)\/18)\/8)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 117, -3101, 3 in increasing order.\nAnswer: -3101, -1, 3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 1 + 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (0 + (-2 - -5) - (177 - 179))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5633, -5641, -5651, -5663, -5677?\n\"Answer: -t**2 - 5*t - 5627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 + 3*n**3\/2 - 7*n**2\/4.\nAnswer: n**2*(n - 1)*(n + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v = 34*v + 210. Calculate the highest common divisor of v and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7 - 3 - 4 - 19*c. Let b(z) = 5*z**2. Calculate i(b(q)).\nAnswer: -95*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + r + 3. Let w be f(3). Sort w, -0.4, -5, -0.03.\nAnswer: -5, w, -0.4, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a = 27. Let d = 8 + -9. Let k = 4 - d. Solve -4*f + 14 = k*u, -a = 4*u - 9*u + f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 25*z**4\/24 + z**3\/3 + z**2 + 11. Let j(n) be the second derivative of p(n). Is j(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 24. What is the least common multiple of 12 and u(7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 20*b**2 - 2604*b.\nAnswer: b*(b - 42)*(b + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 31 - (-4 + (-2)\/(-1)). Find the second derivative of -33*h**2 - 3*h**5 + h + y*h**2 wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a + 0*a + 8 + 3*a. Let u be p(6). Suppose u*x + 3*x = 5. Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q - 3. Let r(b) = -b**2 + 4. Calculate -6*h(j) - 5*r(j).\nAnswer: -j**2 + 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 14962*l**2 + 29948*l + 119728.\nAnswer: -2*(l - 4)*(l + 2)*(l + 7483)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*n + 5275, 351 - 1686 = -l - 4*n. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1299, -6402, -11505, -16608?\n\"Answer: -5103*u + 3804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 284071052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13135014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3021616 bigger than -3021617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18533\/6120 + -230\/153. Find the common denominator of h and ((-2)\/(-20))\/(24\/615).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*o - o. Let z(q) = 44*q - 15. Is z(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 6*j**2 - 9*j - 1. Determine b(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 3*r + f, 4 = r + f. Let i(z) = 0 + 41*z + r - 38*z. Calculate i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 2*v - 5. Give n(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/37)*x)\/x**(-3\/5) assuming x is positive.\nAnswer: x**(306\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:05 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13608 - 8798. Is 74 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r - 2. Let u(v) = -v**3 - 12*v**2 - 10*v + 16. Let p be u(-11). Let x = r + p. Solve x*m = 5*o + 12, 9 = -4*m - 4*o - 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-5))\/((-4)\/(-10)). Let l = -34 - -137\/4. Suppose h*u**2 + l*u**3 + 1\/4*u + 0 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (-16 + (1 - 12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 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 biggest value in -5, 4\/7, 2, 47?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9893.888 decades in centuries?\nAnswer: 989.3888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 10*l**2 + 12*l + 20. Calculate the least common multiple of 32 and i(5).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -11*z**6\/10 + 33*z**3\/2 - 62*z - 39. Let v(i) be the first derivative of q(i). What is the second derivative of v(j) wrt j?\nAnswer: -396*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1026792, -1026781, -1026754, -1026705, -1026628, -1026517?\n\"Answer: p**3 + 2*p**2 - 2*p - 1026793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109723 + 301622. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (51\/(-3))\/((-5)\/2 + 2). Suppose -2*t - o = -2*a + 28, -4*a = -3*t - 120. Calculate the greatest common divisor of a and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -224*d + 201*d - 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, 1 b, and 1 c when four letters picked without replacement from kbbrkbcbb.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 23*b - 22*b - 5*i, -2*b + 3 = i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*i**2*l**4 - 26709848*i**2*l + 10695*l**5 wrt l?\nAnswer: -972*i**2*l**2 + 213900*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**2 - 10*f + 2. Let w be h(-8). Solve -w + 1567 - 781 - u**2 - 30*u = 0 for u.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 + 3 = 0. Calculate the remainder when 51 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1674*m + 20*m + 113498 for m.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + q - 3*q + 28, 0*q + q - 17 = -3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 2*a**3 - 7*a**3 - 2*a**2. Let v be z(-2). Suppose 0 = -5*q - 0 + v. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -2*h**3\/9 - h**2\/3 + 2. Let t(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/4 - 8*p**3\/3 - p**2 - 11*p + 1. Let q be c(-8). Suppose -q*r = 3*x - 73, -r = 1 - 3. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 + 4 = 0. Let q be ((-24)\/10)\/(z\/15). Suppose q = -4*u - 0*x + 5*x, 4*u = 3*x - 4. Solve h - 1 = u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 140881*v**4 - 117739 wrt v?\nAnswer: 563524*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -12. Suppose 3*o = -0*c + 3*c + 15, 3*c - 5 = -2*o. Calculate the remainder when 68 is divided by (c - w) + (0 - -23).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + u)*(-7*u + 2*u - u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -18452?\nAnswer: -18452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 16, -522*x = 5*u - 518*x - 34 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 24*o + 1. Suppose -15*k - 9 = -16*k. Let a be w(k). Which is bigger: a or 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, -0.1, 1, -0.05?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79543157 to the nearest integer?\nAnswer: 8919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266687 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 2815*c - 44787. Give x(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1570, 6222, 13962, 24790, 38706, 55710, 75802?\nAnswer: 98982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1 = -7. Let b(l) = 2*l. Let i be b(m). Suppose w = i*w - 30. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 12 = -3*u, 56*y + 58 = -4*u + 246 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 2:11 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -410, -587, -764, -941, -1118?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b + 9*b + 2*b - 12*b. Let z(j) = 3*j. Give p(z(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*g - 32683 = 1104*g for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -19*x**2 + x + 7. Let r be o(3). Let w = 270 + r. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((3\/12)\/(-7*3\/(-21)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(5) + 2)*5 + (sqrt(150)\/sqrt(3))\/sqrt(10) + sqrt(45)*1)**2.\nAnswer: 180*sqrt(5) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, p: 1, d: 3, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 10*k + 308. Let t be (-10814)\/(-40)*-18*k\/(-24). Let q = -8926 - t. Calculate the common denominator of q and 77\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -452, 7, -5, 3, 19, 81 in increasing order.\nAnswer: -452, -5, 3, 7, 19, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45215913 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4911518 to the power of 1\/2, to the nearest integer?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 17 + 6*v**3 + 6*v**3.\nAnswer: 9*v**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -17, 2\/5, 2\/21, 0 in decreasing order.\nAnswer: 8, 4, 2\/5, 2\/21, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 454.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 13*l**2 - 3*l + 8. Let a be n(13). Which is smaller: -33 or a?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -529325, -529519, -529715, -529913, -530113, -530315?\nAnswer: -530519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 14) to base 6\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Let l(t) = t**2 + 5*t + 6. Let r be l(-4). Suppose -19 = -2*d + b, 3*b + 6 = r*d - 19. Calculate the remainder when d is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:29 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 273221*y**3 - 273219*y**3 - 2*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, -13425169?\nAnswer: -13425169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) + 1 - sqrt(80)))**2*-5.\nAnswer: -405 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + l + 2. Let y be m(2). What is the tens digit of 23\/1 + (-1 - y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 4*a - 4. What is t(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(200)*2*1 - sqrt(200))*-4.\nAnswer: -200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 3, x: 5}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19528 - -1923. Let i = -316741\/18 - c. Calculate the common denominator of i and -65\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1697026 = -200*j + 106*j + 76942. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 - 348.9. What is the nearest to a in 2, 0.6, -1, 20?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2395, -1\/2, -1\/11, 13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9240 + 1228*l + 9240.\nAnswer: 1228*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186039 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6210 and 6615.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5328.0444 + 5329.07439748. Let i = o + -1.03. Round i to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 61\/3, -65, 3\/2, 2\/11, -2\/5, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 minus 992?\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.55996 grams in tonnes?\nAnswer: 0.00001655996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -5. Let n = -41 - b. Suppose n*d - w + 4 = 3, 5*w = 4*d + 21. Are d and 9\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3806164703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90018 divided by -1123.\nAnswer: -90018\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 668245 divided by 133649\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/11, -1.1, -16?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5881, -6279, -6943, -7873, -9069, -10531?\n\"Answer: -133*n**2 + n - 5749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2683 * -0.16681\nAnswer: -447.55123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuzzu. What is prob of sequence uuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 479, 866, 1499, 2372, 3479, 4814, 6371, 8144?\n\"Answer: -z**3 + 129*z**2 + 7*z + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let l(z) be the second derivative of -z**4\/12 + z**3\/2 + z**2\/2 - 2*z. Let d be l(x). Let y(h) = -h**3 + 3*h**2 + 3*h - 4. Give y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 177868\nAnswer: 4\/44467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -0*p + 24. Suppose 616 = 4*f - p*c, 5*f + 3*c - 1039 = -293. What are the prime factors of f?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1986\/445 - -30\/89. Find the common denominator of -14\/5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15168 and 12288.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202330 (base 4) to base 15.\nAnswer: 9e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13832 divided by -26?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 19*y**2 + 2 + 0 + y. Let x be p(2). List the prime factors of x\/8 + (-1)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 78 = 997 - 193. Calculate the lowest common multiple of h and 4293.\nAnswer: 30051","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 158, 149, 140, 131?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 5. Let q be p(5). Let r = -12 + 13. Let d = r + q. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1053\/836 + -2\/209. Which is the biggest value? (a) -1 (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33\/31 + 1813\/1674. Let w(u) be the second derivative of -4\/27*u**3 - 4\/9*u**2 + 4*u - z*u**4 + 0. Determine d so that w(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41949407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 8*w + 29. Calculate a(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 3 (c) -0.4 (d) 261 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 4. Let l(a) = -a - 5. Let b(r) = 5*g(r) - 4*l(r). Let c(n) be the first derivative of n**3\/3 - 3*n**2 + n + 68. Calculate 5*b(i) - c(i).\nAnswer: -i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from bybby.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*10*1)\/((-278)\/(-129965)*85)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4972941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*h + 29 - 21, 5*h = c - 26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4403850\/(-144126))\/(10\/18).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + 2*sqrt(1088))**2.\nAnswer: -160*sqrt(17) + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432202 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -34\/2261037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*r + 146, 2*o - 2*r = o + 44. Which is the biggest value? (a) 1 (b) o (c) -1\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*c + 57 = 24, 0 = -4*t - 2*c + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 - 4. Let w = 0.0156245 - 20.0156245. Put j, w, -4\/5 in increasing order.\nAnswer: w, -4\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 13) to base 10.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3\/8 (b) -5 (c) -23.3 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - f = -0*a - 9, 2*a - f + 14 = 0. Let u(x) = -x**3 + x**2 - 5*x + 5. Let l(t) = -t + 1. Let k(d) = a*l(d) + u(d). Determine w, given that k(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -956*x**3 - 3*x**2 - 2*x + 1. Let y be k(-2). Suppose 29*b = y + 10890. What are the prime factors of b?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -90. Solve -m*w + 22 = 2*r - 0*r, 2*w + 3*r - 13 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.78.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/24 - n**5\/15 + n**4\/4 + 7*n**3\/6 + 217*n**2. Let o(b) = 9*b**3 - 7*b**2 + 11*b + 13. Determine 6*o(k) - 11*w(k).\nAnswer: -k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 2*o**2 + 15*o. Let g be d(-5). Suppose -3*a = -g*a - 267. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.007 (c) -0.1 (d) 0 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/420*(-44 + -37 + 6).\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (388\/(-5335))\/((-2)\/5). What is the nearest to -0.4 in 3, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17905, -35817, -53729, -71641, -89553, -107465?\nAnswer: -125377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022 + -495186.6.\nAnswer: -495186.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*b + 8, 0 = -2*w - 498*b + 499*b - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -1, -3, 5, 4163 in decreasing order.\nAnswer: 4163, 26, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*94\/16544*-6*(-48)\/11?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -10 + (12\/22 - 11115\/715)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 divided by 103?\nAnswer: -634\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(5 + ((-19778)\/3297 - -1))\/6. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 4 = 0. Suppose -5*a - 7 = -o*q - 4*a, 0 = 2*q + 5*a - 25. Sort -2, -1, q in ascending order.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3 + 5?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80435788 is divided by 9867?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15 = 0, t + 5*b - 14 = 129. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 8*w**2 + 6. Let l be y(4). Suppose -5*v + 57 = -83. What is the greatest common factor of v and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3180716 and 329406.\nAnswer: 295806588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 - 38*j**3 + 58 + (6*j**2 + j**2 + j**2)*(-2*j - 3 + j + 0*j) in the form m*j**3 + z*j**2 + s + b*j and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 517137 (base 8) to base 16\nAnswer: 29e5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 56.6, -5, -0.2, 3\/155, -0.5, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 + v + 12. Let u(p) = 4*p**3 + p + 10. Let k(j) = -6*u(j) + 5*y(j). Let q(l) = l**3 - 2*l**2 + 2*l + 2. Give 3*k(d) - q(d).\nAnswer: 2*d**3 + 2*d**2 - 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4124.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 10.5. What is the second biggest value in c, 5, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 656370 and 180?\nAnswer: 1312740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 - 4*r + 3. Let z be f(2). Suppose 2*m - 21 = -5*c - 8, z*c - 4 = -5*m. Is (4\/(-8))\/(m\/66) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -669 or -670?\nAnswer: -670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:53 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*b = 0, -2*b + 60 = 2*z + 3*z. Let y(p) be the third derivative of -p**5\/60 + p**4\/2 - 11*p**3\/3 - 18*p**2 + 6. Determine y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 - -1 - -2) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2695*i**3\/3 + 2164*i - 3678. What is the first derivative of s(w) wrt w?\nAnswer: -5390*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273021 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 14*m - 25. Let f be h(-15). Let n be 12\/16 + (0 - f\/(-140)). Is 0 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12 (b) 5 (c) -109 (d) 44 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/3)*w)**(-4\/19) assuming w is positive.\nAnswer: w**(-40\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93958)\/(-6213) + 88\/418.\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11757 (base 8) to base 3\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 71195?\nAnswer: -71194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 2 - -37) + (-45 - -41 - 11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24180 - -24269. Calculate the remainder when 1244 is divided by w.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 15250 + 55827 = 0. Find the first derivative of 76 - g*c**3 + 10*c**4 + 5*c**4 + 40574*c**3 wrt c.\nAnswer: 60*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233985187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -7. Suppose -2*q - 1 = 1. Let w = q - u. Solve w*g - 14 = -5*f, 0 = 2*f + 3*f - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2785 - -2408. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m**2 - 73*m**2 + 1 - 1 + 0 + 142*m**2 - 65*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = -5*z. Let q = -16294 + 16293.84. Which is the third smallest value? (a) 1\/3 (b) z (c) q (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4802 + 0.0198. Let m = 11.5 - n. Let t be (2\/10*-2)\/1. Which is the closest to 17? (a) -4 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843 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: Factor 3*p**2 - 486*p - 984.\nAnswer: 3*(p - 164)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88.683924 - -5.\nAnswer: 93.683924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4 and -33\/214.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 110321.78 to the nearest one hundred.\nAnswer: 110300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g. Let u be m(1). Let b = u - -2. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 995817 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/7, 0.5, -57, -0.27 in decreasing order.\nAnswer: 8, 0.5, 2\/7, -0.27, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-936)\/960)\/(1\/5) - (0 + -5). Sort 1\/2, a, 53 in increasing order.\nAnswer: a, 1\/2, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*o + 5488 = 65*o + 239*o + 268*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:52 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.04.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:24 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*t - 413*t - 7 + 7 + 0 + 212*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9247209 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -15, 61*f - 3*k + 15 = 58*f. Let z(w) = -w**3 + 2*w**2 + 3*w - 4. Let h be z(3). Let a be h + 4\/f*-42. Which is smaller: a or 18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134102443 (base 5) to base 7\nAnswer: 5605400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -7287?\nAnswer: -1\/2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -541141\/30 - -18040. Calculate the common denominator of w and -83\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by 62.\nAnswer: 113\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 23*l**3\/6 - l**2\/2 - 484*l. Let w(n) = 5*n**2. Determine u(w(j)).\nAnswer: 115*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135704738*y**5 - 231680687*y?\nAnswer: -2714094760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/15 + 8*w**4\/5 + 56*w**3\/15 + 4*w**2\/5 - 58*w\/15 - 12\/5 = 0. Calculate w.\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*g + 10. Suppose 0 = 2*y + 2*z - 64, g*y - z = -y + 118. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8557240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272 + 686. Suppose -y - w = 2*y. Let l = -687\/5 - y. Sort -0.2, l, 0.3.\nAnswer: -0.2, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1 - -2.6. Let r = 0.51 - 0.41. Put 0.02, c, r, 0.4 in ascending order.\nAnswer: 0.02, r, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 155*w + 3295. Give v(174).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -442084 times -0.2?\nAnswer: 88416.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*s = -1696 - 1944. Let n(h) = -4*h + 2. Let k be n(-6). What is the highest common divisor of k and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025109 to six dps.\nAnswer: 0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51163699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -91\/24*b**4 + 60*b**2 - 13\/2*b**3 + 0 + 0*b. What is the derivative of a(d) wrt d?\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1028*o + 1044*o - 72000 = 0. Is 4500 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**3 + o**2 - 1. Let r(l) = -l**3 - l**2 - l - 1. Let h be r(0). Let y be 1\/h + 2 + 0. Determine i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b + 72*b + 32*b = -2288 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 331 + -325. Suppose 35 = x + q*x. Solve 3*o - 5*p = -12, 0 = x*o + 2*p + 3*p + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + 0*k**3 + k + k**3 - 2*k**2. Let r(q) = 7*q + q - 2 + 10*q**2 + 8*q**3 + 0 - 4*q**2. Determine -r(d) + 6*s(d).\nAnswer: -2*d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 796 divided by 199.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2835427515 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 45. Let a be (-492)\/(b + -2) - (-4)\/4. What is a rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o - 9*o + 48*o - 23*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)\/y)**(36\/11) assuming y is positive.\nAnswer: y**(-288\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/7722432 and 7\/12.\nAnswer: 7722432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 209304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624484 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: Let a = -8 + 6. Let p be ((-4 - 7) + 9)*12\/(-30). Let c(k) = k**2 - 9*k + 9. Let r be c(7). Sort p, 4\/9, r, a in increasing order.\nAnswer: r, a, 4\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 5*q**2 + 3*q - 2. Let s be a(-4). Let l be (-1 - 3)\/(s\/(-9)). Is 11 a factor of (-98)\/(-6) + (-6)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7429 is divided by 392?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14806 a multiple of 673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 2*t**2 + 9*t + 7. Let b be q(-3). Let l be (1*b)\/(39 - 40). Let m be (3 - 6\/(-10))\/((-10)\/l). Solve 4*y - m = 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-298 - -286) + 0 + -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3245, 6484, 9721, 12956, 16189?\n\"Answer: -y**2 + 3242*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (-6 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55352*o = -55376*o. Solve -n = -x + 7 - o, 2*n - 4*x = -14 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 4, 27, -0.2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.12057 (b) 10 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/275*-5)\/(4\/(-1))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**5\/120 - k**4\/24 - k**3\/4 + 3*k**2 + 8*k. Let t(n) be the first derivative of q(n). Suppose t(w) = 0. What is w?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 356385?\nAnswer: 356366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16847060 is divided by 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9069 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 103\/2 + 1\/2. Calculate the common denominator of (3 - 19*49\/(-140)) + -5 and (-238)\/d*(-3)\/7.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**2 - 3*i**2 - 4 - 9*i**2 - 8*i. Let c be y(-7). Let f be c*(-1)\/(54\/4). Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46\/5 of a century?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = u, 10*u - 5*u - 7 = -4*b. Suppose 5 + 1 = b*f. Let l be 6\/(4 - 2) + f. Solve 3*j - l*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25504 (base 12) to base 4.\nAnswer: 30122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22167 - 0.62167. Let g = 15 - 31\/2. What is the biggest value in -2, g, 6, k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*s + 10, -2*s + 3*s = 4*j - 5. Let i = 4 - 4. Let g = -0.1 + i. Which is the closest to j? (a) 1\/12 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157.929 - -158. Let r = 0.07202 - w. Round r to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 48486894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 8*j**2 - j - 3. Let x be n(-8). Suppose -4*y + 1 - x = 0. Let s(h) = -h**2 - 2*h - 2. Let t be s(-2). Is y greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 9) to base 11.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1173, 2167, 3161, 4155, 5149?\nAnswer: 6143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 15*n + 51. Let q be u(8). Which is the biggest value? (a) q (b) -79 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -101000011100010111010?\nAnswer: -101000011100010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731299799?\nAnswer: 241, 3034439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330)\/(-48) - 2 - 5\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -2*m - 17616 + 17401, m - 125 = 4*h for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 9. Let c be d(-7). Suppose 3*w - y = 5, -2*w - 2*y = -3 - 3. Solve 17 = -4*p - g, 2*p - w*g = -c*p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43739228647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/3)\/(2\/12). Let q = -5 - -2. Let g = q + r. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 1347*o**7\/70 - 503*o**3\/2 - 1145*o**2. Differentiate c(f) wrt f.\nAnswer: 16164*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129\/44 + 24\/11. Let s = -0.5 - -0.9. Which is the nearest to i? (a) 1 (b) s (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*t - 6 = 0, 3*o + 2 = -0*o + 2*t. Let y = o - 2. Suppose -z = -y - 18. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/584 and 21\/81395.\nAnswer: 651160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25772 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 25*g + 1. Let v be s(1). Suppose -44*u + u = 1118. Let o = u + v. Solve o = -2*z - 5*d + 1 + 4, 4*d = 3*z + 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**3*j*x**2 + h**3*j - 16*h**2*j - 4*h*j*x**2 + 3*h*j*x + j*x**2 wrt h?\nAnswer: -60*h*j*x**2 + 6*h*j - 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/1490145 and -83\/15.\nAnswer: 1490145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 37938864.\nAnswer: 1707248880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9321714 a multiple of 1313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -121, -160, -197?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*y - 5*m = -254*y + 28070, -3*m = 7*y - 49099. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255 times 2768?\nAnswer: 3473840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -65. Let 5*d**v - 2*d**2 - 5*d**2 + d**3 + 3*d**2 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78870 is divided by 6062.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901399219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 - (-19394)\/6. Suppose 992 = 2*l + p. Round l to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n, -3*n - 8 = -l - 7*n. What is the remainder when l is divided by (12\/2)\/1*(-5)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -31. Let v(f) = 90*f**3 + f - 2. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-50)\/56)*852\/71\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r - 38 = 9*r - 638 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43489 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 17) + (-922)\/(-44). Let y = -5\/11 + d. Which is the smallest value? (a) y (b) -1\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1562 to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose 0 = -y*o + 5 - 1. Suppose -o*x - x = 0. Solve 2*k + 4*m + 0*m + 6 = x, 5*m - 5 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463 divided by 2080.\nAnswer: -463\/2080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -157251 divided by 1\nAnswer: -157251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 37738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-12) + 369\/(-132) and 8\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.8 - -41.8. Let p = -16.85 + d. What is p rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2080 and 49\/10?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.9 - -188.9. Let a = 154.6 - p. Put 2, -1.5, a in decreasing order.\nAnswer: 2, a, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4891, 9782, 14673, 19564, 24455?\n\"Answer: 4891*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by (-15 + -197)\/(13 - 17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + i. Let s(k) = 10*k**2 - 4*k. Let w(p) = -4*f(p) - s(p). Let l(r) = 2*r - 5. Calculate l(w(a)).\nAnswer: -4*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10188 is divided by 10015?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25 + 7*w**2 + 817*w**4 - 811*w**4 + 114 - 16 wrt w?\nAnswer: 24*w**3 + 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i**4 + 739*i**3 + 20*i - 467484 with respect to i.\nAnswer: 20*i**3 + 2217*i**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + (0 + -4 - (328 + -330))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 104*q + 897. Give i(-10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710752?\nAnswer: 2, 7, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 812, -2260, -7384, -14566, -23812, -35128?\n\"Answer: -j**3 - 1020*j**2 - 5*j + 1838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1512602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -428 equal to 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15099?\nAnswer: 3, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 46 = -4*h. Suppose -60 = -2*x + h. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q + 28 = 33*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.54 * 5.\nAnswer: -12.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*l**2 - 89*l**2 - 10*l - 5*l wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13 + 1 = 0. What is the third derivative of -2*r**6 - 3*r**2 + q*r**6 + 2*r**6 wrt r?\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5194675 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 4*w - 4. Let r be a(-5). Does 17 divide (-21)\/(-6)*r*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) + 103\/5. Let u = -30\/7 - 241\/14. Let p = u + i. Which is the closest to p? (a) -0.5 (b) 0.2 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6118\/29 equal to -212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*n + 214*n - 8015892 = 11766794. List the prime factors of n.\nAnswer: 11, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461531 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Suppose -f*n = i + 3 - 150, -4*n + 3*i = -196. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/3 + 44*h**3\/3 + 208*h**2 + 3280*h\/3 + 4400\/3.\nAnswer: (h + 2)*(h + 10)**2*(h + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1488, 2971, 4444, 5901, 7336, 8743?\nAnswer: 10116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -34. Calculate the remainder when 34 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 241540 + -6?\nAnswer: 241535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 12516*y.\nAnswer: 4*y*(y + 3129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8, -4*r + 11*a + 262 = 6*a. Calculate the lowest common multiple of 357 and r.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 456924 by 303.\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 - 2*a + 1. Let n be r(1). Let k(d) = 8*d**n + 0*d**3 - 3*d**3 + 4. Let i = -10 + 14. Let y(g) = g**3 + 1. Give i*k(s) - 18*y(s).\nAnswer: 2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*u - 9*u + 3*f - 15, 0 = -5*u + 3*f - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -192 and -8.4304.\nAnswer: 1618.6368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/8 + 45\/30. Let y be (5*1)\/(1\/3). Suppose 0 = 3*d - 2*n - 7, -y = -2*d - 2*d - 3*n. Solve -7 = 5*a + 4*l + 1, 0 = -5*a - d*l - h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10*r + 417. Let n be l(32). Suppose -n*a + 103*a = 294. Calculate the remainder when 172 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43919057075232 minus -0.3?\nAnswer: -43919057075231.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396909, -396780, -396651, -396522, -396393, -396264?\nAnswer: -396135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 21*v = 162648. Suppose 0 = 7*d + 11*d - v. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 23919345529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:40 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17434059 by 187463.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6\/13, 19, 0, 3, 0.5, -21.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -4\/3, -1\/11, -2, 40470, 0.03?\nAnswer: 40470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**8\/6720 - a**7\/420 - a**6\/180 + a**5\/24 - a**4\/3 - 7*a. Let h(m) be the third derivative of o(m). Calculate h(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 5*m**2 + 7*m + 5. Let n be w(-6). Suppose -2*y - 5*i + 13 = 0, y + 11 + 0 = i. Let k be -4 + (-4)\/y*3. Put 2, n, k in ascending order.\nAnswer: k, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 94 = -4*k - 3*m, 2*m - 4 = 0. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6513*q = -6494*q - 456 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 3*k)*(0*k + k**2 + 0*k + (-2*k**2 - 2 + 2)*(-4 + 3 - 1) + k**2 - 2*k**2 - k**2) + 0*k**3 + 2*k**3 - 3*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**4 + 100132*f**3 - 382740*f**2 + 4 wrt f?\nAnswer: -120*f + 600792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*z + 12*z. Solve -6 = 3*c - z*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/10)\/((-12)\/200). Suppose 0 = -5*s + x. Suppose s*y - 79 = 33. Calculate the highest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73072 and 4?\nAnswer: 73072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -266234605 (base 7) in base 3?\nAnswer: -1012101211100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77*f - 2 + 1 + 62*f)*(0 + 3 - 4)*(0*f**2 + 0*f**2 - f**2) to the form p + h*f**2 + b*f**3 + x*f and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2276 and 7\/9.\nAnswer: 20484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 17 - -23 - -25\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-75)\/(-45))\/(4\/132). Solve n*p - 58*p = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o - o - 3*o**2 - 2*o**3 + 3*o + 3. Suppose 5*b - 1 = -16. What are the prime factors of c(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 278*m - 277*m + 5113 = 0, -3*m + 15351 = 3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*f**(-2\/5))**(-37) assuming f is positive.\nAnswer: f**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 4278.\nAnswer: 17112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 + 6\nAnswer: 6.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 7*g - 14. Suppose j - 7 = 7. Let b be d(j). Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -4690821257.6.\nAnswer: -4690821269.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -4. Let t be i\/(1\/7)*-1. What is the units digit of (t\/14)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225229307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 924997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -1\/9*l**4 - 4 + 2\/3*l**3 + 0*l**2 - 1\/45*l**5 + 0*l - 1\/540*l**6. Let y(a) be the third derivative of d(a). Factor y(z).\nAnswer: -2*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67038 is divided by 427?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlq when three letters picked without replacement from {u: 3, z: 6, n: 3, q: 3, l: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -329 - -338. Let c = t - -411. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 - 11*f + 2*f**2 - 8 - 2*f**2 + 4*f**2. Let a be z(-11). Let d(m) = 2*m**2 + m + 11. Is d(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. What is the remainder when 87\/27 + 26\/585*-5 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/34200 and 179\/15300?\nAnswer: 581400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 25414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -351? (a) 0.4 (b) 0.058 (c) -16 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**4 + 10792*d**3 - 6479*d**2 - 4318*d = 0?\nAnswer: -2159, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**8\/20160 - r**7\/1260 + r**6\/120 + r**5\/20 - 3*r**2. Let f(i) be the third derivative of h(i). Determine f(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + m + 0*m)*(-5*m + 2*m + m)*(-89*m - 56*m - 28*m) in the form a*m**2 + r + v*m**3 + u*m and give v.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)*f**(2\/7)*f**(-1\/4)*f*(f*f**(1\/32))\/f*f assuming f is positive.\nAnswer: f**(-657\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 13. Let a(y) = -y**2 + 9*y + 14. Let u be a(10). Let r(t) = -1 + u + 0. What is 9*r(i) + 2*w(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(1296) + sqrt(1296)*2).\nAnswer: sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (575\/(-15))\/((-50)\/30).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 610\/427*7\/2. Solve 2*j - 7*j + u + r = 0, 3*j = -3*u + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1300 divided by 25\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/12*(7 - 4). Let y be 24\/g - 8\/60*3. Solve 4*k = 4*p - 32, -5*k - y = 4*p + 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + 2 + sqrt(75))**2.\nAnswer: -555 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-32) + (-1305)\/(-4). Suppose 6*y + 86 = q. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*r**2 - 9*r - r - 25*r wrt r.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 1 (c) -212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5613110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 24*g. Let d = -1 - -2. What is the tens digit of c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45004800128*g**2\/7 + 600032*g\/7 - 2\/7.\nAnswer: -2*(150008*g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 3. Let x be c(0). Suppose 2*s = -x*s + 95. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*l - z - 2*z, -4*l + z - 4 = 0. Suppose l = -4*w + 35 - 23. What is the remainder when w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0434*0.5\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 64*z**2 + 101*z + 49. Determine p(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d + 640 = 17*d - 23*d. Let b(u) = 2*u**3 + 17*u**2 + 8*u + 16. Calculate b(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 134 - 338. Let j be r\/221 + 48\/(-988)*-1. Which is the nearest to 1\/3? (a) 1 (b) 0.5 (c) -1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -5. Let r = -24 + n. Let i = -9 - r. Sort i, -0.2, 0.5 in decreasing order.\nAnswer: i, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + 4*x + 3. Let w be k(-1). Solve y = -2*r - 2*y - w, -3*r - y = -9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*p + 758 = 0, 4*v + p - 636 = -4*p. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54563561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 18148 = -4805. Suppose -k + t = 354. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from {o: 2, w: 6, r: 1, k: 4, l: 7}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 765602 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2107176?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7515480 is divided by 3890.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5662*d**2*l**3 - 5464*d**2 - l**3 + l**2 wrt l.\nAnswer: 33972*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, -9, 30 in ascending order.\nAnswer: -9, -3, 12, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 208*b - 26. Let g(a) = -52*a + 6. Let z(u) = 13*g(u) + 3*q(u). Let n(f) = f**2. Calculate z(n(d)).\nAnswer: -52*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1834092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is e418 (base 15) in base 9?\nAnswer: 73065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*j = 4*l + 16, -12 = -5*l - 3*j. Let k = 7 + -5. Suppose l*b + k*b - 26 = 0. What is the remainder when 24 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -1\/6*s**3 + 5\/12*s**4 + 1\/2*s**2 - 2*s + 0. Let p be m(1). Solve 2*l = l - p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 + -1 + 5 + -4. Let c be l - (1 - (3 - 3)). Solve -4*y = -2*j - 18, -3*j + 5 = 2*y + c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41163871.\nAnswer: 7, 449, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411968 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*w - 23 - 2, 4*j = w + 8. Suppose -4*l + 4*r - 62 = -234, j*l + r = 125. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1000 and 18091840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 16*i**3 + 64*i + 64.\nAnswer: -4*(i - 2)*(i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 689819 or 689821?\nAnswer: 689819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - -3) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12092 is divided by 1725?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 103*a + 228*a + 73*a + (-4*a + 4*a + 2*a)*(-2 + 0 + 4) - 4 + 2*a + 4)*(-6 + 4 - 5)*(a - 3*a - 2*a) - 2 + a**2 + 2 to m + d*a + o*a**2 and give o.\nAnswer: 5713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 13. Let g be q(4). Suppose 3*b = 3*r, 3*r + 10 = -g*b + 42. Suppose r*c - 301 = 207. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 + 59282944*w + 878616862326784 = 0.\nAnswer: -29641472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p + 3*x + 12 = 18*p, 5*p = 32*x - 36*x + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8*p = 14. Solve 10 = 4*a + p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1086*g**2 - 540*g**2 - 542*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14591123.\nAnswer: 149, 97927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 815464 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-52)*13)\/((-2)\/(-40)*4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(7\/4)\/(f**(-2\/7)\/f))**(23\/2) assuming f is positive.\nAnswer: f**(1955\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 106*n - 9617. Let p be q(91). Let f(z) = -z**2 + 16*z + 363. Give f(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from kxxxxdkkxkqkkn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((22 + -27 - -35) + -7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500331?\nAnswer: 2500331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*8\/3024*3\/1.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2227004, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 + (-2 - 2) + 4)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 2*s. Solve -d = -2, 0 + 6 = f + s*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 32754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -22. Let s(r) = -r**2 + 10*r. Let i be s(c). Solve -w - 4 = i, 5*w - 4*w + 9 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 22*r - 4. Determine p(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -9.29\nAnswer: -3.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/18855 and -37\/33939.\nAnswer: 169695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 19. Let t = -25 + -4. Let n = t - -29. Which is the closest to n? (a) 0.1 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 200664 = 4*c, -42*m + 2*c - 6258 = -43*m. Calculate the greatest common divisor of m and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 62*h - 52. Give t(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/4 + 3477215*d\/4 - 1738607\/2 = 0?\nAnswer: 1, 3477214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -11 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -3*h - 40. Suppose 5*i = -4*o + 27, 3*i = 5*o - 1 - h. Suppose -o - 3 - l**2 + 4*l + 3 = 0. Calculate l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*u - 114*u + 219*u + 8896 - 597.\nAnswer: -3*u + 8299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 714.0527 millimeters?\nAnswer: 714052700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-16)\/(-10) - 26\/40. Let l be (-9*(-8)\/(-84))\/((-2)\/28). Let h be (3*(-28)\/147)\/(l\/(-14)). Which is the closest to 0? (a) q (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/60 + 15513*y**2. Let p(a) = -10507*a**2. Calculate p(b(r)).\nAnswer: -10507*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 divided by 1?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(2*(1 + sqrt(325)) + sqrt(325) + 3 + 1 + sqrt(325))*-4)**2.\nAnswer: 2211840*sqrt(13) + 48254976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - 32 - (-144 - -205).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1731810, -1731825, -1731850, -1731885, -1731930?\nAnswer: -1731985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-2\/3)*g*g)**5\/(g**(-8)*g*g**(-3\/2)))\/((g\/g**2)**(-1\/2))**(-43) assuming g is positive.\nAnswer: g**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 816604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340216 + -4727437\/14. Let z = -2539 + q. Find the common denominator of -25\/4 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/2679 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x - 7. Let d be (-8)\/(-6)*x\/(-6). Suppose 2*n - 79 = -5*z, 5*z - d*n = -5*n + 76. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*m - 19 = 0, 4*j + 2 - 8 = -2*m. Suppose 2*b - 15 = -b - j*t, -t + 5 = 2*b. Put 3, b, -5 in increasing order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21989 + -11717. Suppose -x = -3*w + 567. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(85) - sqrt(85)))\/(sqrt(20)*-5).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-18)\/27*(-3)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12545.86005 rounded to the nearest 100?\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 138 = -39*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 109*u - 114*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178473562052.5100001 - 178474435178.91. Let z = a + 873125.4. Let j = -1 - z. What is j rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167\/3 + 223\/4. What is the fourth biggest value in -2\/7, 8, 50, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 9*o**2 - 2*o + 21. Let s be t(9). Suppose s*f + 31 = 55. Calculate the remainder when 23 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12121 (base 4) to base 2\nAnswer: 110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.072000645 + -0.072. Round f to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50970, 50979, 50988, 50997?\nAnswer: 51006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 164642550 take away -5?\nAnswer: 164642555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-11))\/(172\/(-473))\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*q**3 - 104*q - 50\/3*q**2 + 0.\nAnswer: -2*q*(q + 12)*(q + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1015 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -175 times 7737\nAnswer: -1353975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007113784?\nAnswer: 2, 3, 13, 6433057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -31. Suppose 5*w - c = 83, c = x*w - 41 - 25. Let q(m) = -23*m - 294. Calculate the remainder when w is divided by q(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 1, i: 4, x: 4, j: 3}. What is prob of picking 1 v, 1 w, 1 i, and 1 x?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (0 - 2 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 13 = 3*t, -2*x = 3*t - 2*t - 7. Put -5, t, 1\/8 in increasing order.\nAnswer: -5, 1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 129*u + 1061. Let v be y(11). Solve -32*l + 35*l - 16 = -w, v*l - 8 = 3*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -14 + (1 - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18 - 8\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 105, -2, 35\/12?\nAnswer: 35\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 770689, 1541344, 2311997, 3082648, 3853297?\n\"Answer: -i**2 + 770658*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -z - 82 + 92, -20*h - 80 = -5*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8453928 divided by 24.\nAnswer: 352247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 4. Suppose 76 = 4*x - o*s - 2*s, -4*s - 4 = 0. Let c be (8\/32)\/((-1)\/(-8)). What is the highest common divisor of c and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-1 + 3)) + -12 + (-15 - -23).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 32*p + 144 = -o, 5*o = -3*p + 7102 - 7153 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11344897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 2. Let o(j) = 4*j - 3. Let c(l) = -2*o(l) + 3*s(l). Let z(i) = -4*i + 9. Let a(h) = -h + 2. Let w(v) = 9*a(v) - 2*z(v). Calculate w(c(b)).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*y**5 - 13270*y**4 - 41125*y**3 - 1775*y**2 + 29590*y + 10920 = 0. What is y?\nAnswer: -52, -3, -2\/3, -1\/2, 7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 366*h + 363.\nAnswer: 3*(h - 121)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1677*j**2 + 4*j**3 - 1675*j**2 + 2*j**4 + 4*j**3 to r + b*j**4 + f*j**2 + c*j + a*j**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020030078 rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 118659*t - 118664*t + 2*q, -6*t + 2*q = 34 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247358?\nAnswer: 2, 337, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 7*a**2 - 9*a - 8. Let r be m(-8). Suppose -4*f + 31 + 21 = r. What is the highest common factor of f and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546999481 rounded to the nearest 1000000?\nAnswer: -547000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00121748 to 5 dps.\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 12:22 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtp when three letters picked without replacement from ptpyttpytyptypytxtx.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y**2 + y. Let q(v) = -5*v**3 - 3*v**2 + 16*v - 10. Let b(w) = 6*d(w) - q(w). Let s be b(6). Is s*(30\/4)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2699 rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5460372, 10920748, 16381124, 21841500, 27301876, 32762252?\nAnswer: 38222628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Suppose 0 = -3*z + 3*d + 93, 0 = -z + 3*d - 12 + 53. Let l(t) = -24*t**2 + 11*t**2 + z*t**2. Determine l(k(y)).\nAnswer: 52*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z + 1. Let w(f) = -f**2 + 6*f + 29. Let x be w(9). Solve -4*g = 2*n + x, 2 = 3*g - z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Suppose 2*b + 5*i = q*b - 26, -5*b + 2*i + 38 = 0. Solve b*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17161 or -17159?\nAnswer: -17161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(1\/3))\/y)\/y)\/y)**(1\/19)\/(y*y**(3\/2)\/y)**15 assuming y is positive.\nAnswer: y**(-2575\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*s**3 - 5896 + 5896 - 33*s**3 - 36*s**3 - 28*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001009 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 1. Let w = 1.5 + -0.8. Let i = 1.1 - w. Which is the closest to -1\/4? (a) -1\/5 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 2543, 6526, 13253, 23426, 37747?\nAnswer: 56918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2880 divided by -192?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 612 = 6*r. Let x be r\/(-6) + (-6)\/2. What is the smallest value in -3, x, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2018?\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31032?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 5108036?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 0.3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**2\/3 + 32735*r\/3 + 3838170 = 0.\nAnswer: -6174, -373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 146587 plus -130.5623?\nAnswer: 146456.4377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -0*k. Suppose k*g - 19 = 38. Suppose 112*s = 110*s + 14. What is the remainder when g is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 74, 130, 218, 344, 514?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1074898 - 0.2\nAnswer: -1074898.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316.51 - 317.31. What is the fifth smallest value in 2\/9, -0.3, 0, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0079402 millimeters?\nAnswer: 7.9402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*i - 21 = 0, -2*j - j - 3*i = 3. Suppose 0 = 5*x - 2*m - 566, x + m = -2*m + 120. Let w = 121 - x. Sort w, 4, 1, j in ascending order.\nAnswer: j, 1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -602952 divided by -84?\nAnswer: 7178","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-4))\/(-5))\/((-8)\/(-80)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005137 to five decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 - 116. Let w = 64 - k. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 - 3*c - 10. Let g be p(5). Suppose g = 12*q - 8*q - 72. Calculate the greatest common factor of q and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7221)\/2988)\/(5\/(-60))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/33)*(q*((q**(13\/2)*q)\/q)\/q)\/q*q\/(q**3\/q)*q**(1\/18) assuming q is positive.\nAnswer: q**(448\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071262 rounded to 5 decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -116930 + 4?\nAnswer: -11692c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -651, 30\/13, 2?\nAnswer: -651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - -1 - 1 - (21 - 60 - -46).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(19)*-3)**2.\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s - 25*s - 5 = v, -25 = 3*s + 5*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from dgedgeavu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/682 and 81\/22.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -7. Let m = b - -13.92. Let j = m - 1.2. Round j to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11842502 and 47370008.\nAnswer: 47370008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32118.\nAnswer: 2, 3, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340937324 and 28.\nAnswer: 340937324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81365.8 + -81366. Let x = -6 + 6. What is the nearest to -1 in 4, x, y, -2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 4\/7, -2, -4\/5 in descending order.\nAnswer: 4, 4\/7, -4\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 + r - 1. Let g be u(-3). Suppose -g*y - 2*z + 442 = 76, -2*z + 222 = 3*y. Let t = y + 0. What is the highest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9574128.\nAnswer: 2, 3, 17, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.11 + -0.11. Let g = 2 + 36. Let x = -37 + g. Which is the closest to x? (a) o (b) -1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/(2\/12). What is the highest common divisor of 20 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/1520335 and 63\/25.\nAnswer: 7601675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*2\/(-12)*9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 5 = -43*g - 85. Let x be (-3)\/(-1) + (1 - 6). Let y be 0\/4 + (-10)\/(-2). Put -4, y, x, g in descending order.\nAnswer: y, x, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 317*y + 12. Let j be k(4). Suppose -x - 2*d + d + 20 = 0, -x = -d - 20. Calculate the highest common factor of x and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 v when three letters picked without replacement from {r: 4, b: 5, i: 1, v: 8}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-328)\/(24\/6)*73\/(-292)?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m - 4*c, 3*m + c = -11. Let n(v) = 7*v**3 - v**2 + 2*v + 5. Let q(d) = -2*d**3 - d**2 - d. Let u(o) = n(o) + 4*q(o). Determine u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:02 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, -3, -1\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -1\/30*k**5 - k**2 + 3*k + 0*k**3 + 0 - 1\/18*k**4. Let j(h) be the first derivative of c(h). Factor j(z).\nAnswer: -2*z*(3*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6002*n**3 - 657*n**2 + 1 wrt n.\nAnswer: -36012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 674*g**5 + 47655*g**4*p - 424*g*p - 3*g - 7223*p - 14 wrt g?\nAnswer: 13480*g**3 + 571860*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-253)\/46)\/(-11))\/((-1)\/30)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2898*m + 8. Let a(n) = -6*n. Determine a(i(b)).\nAnswer: 17388*b - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1822 = 447. Calculate the highest common factor of 25 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o - 5*o - 11*o - 1. Let k be h(-2). Let c be ((-4)\/(-6))\/(k\/(1020\/8)). Round c to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.84 - 38461220?\nAnswer: -38461242.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from aakiakkaafaiii?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78, 81, 94, 123, 174?\n\"Answer: t**3 - t**2 - t + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2152*32 + (8 - 5). Suppose 0 = -m - 4*v - 20790, -2*m = 2*v + f - 27317. Let g = m - -7870. What is g rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:11 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 16 = -x + 4, n = -x + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 5*i**4\/2 - i**3\/3 - i**2\/2 + i + 37. Calculate j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f + 540 = 0. Let a = 12 - 8. Let d be a\/10 + f\/(-30). Solve p = d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89\/10 - 448\/1120 - 1\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13))**(-5\/13) assuming t is positive.\nAnswer: t**(10\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = 2711*b - 2696*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) -1\/8 (c) -5 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1077, 293\/8, -6, 1\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1694)*-1)\/sqrt(7)*6)**2.\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 3*h - h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -h + 1. Suppose -5*x = -h*x + 18. Let t be x\/12*(-8)\/1. Solve 0 = 4*g, -3*m + t*g = -0*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 73 + 74. Let c be (((-224)\/w)\/8)\/((-4)\/2). Let f = -15 + 15. Sort 8, f, c in ascending order.\nAnswer: f, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - z**2 - z + (2*z + z - 2*z)*(0*z - z - z) - 2*z**2 + 4 - 4 + 10415*z**2 - 17824*z**2 + 9627*z**2 + 1.\nAnswer: 2213*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 19*x**2 + 94*x - 54. Determine s(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 17858?\nAnswer: -2\/8929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 7. Let r(z) = -z**2 - 6*z - 3. Let t be r(x). Suppose t*l - l = 9. What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 979, 3555, 8561, 16807, 29103, 46259, 69085?\nAnswer: 98391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1af (base 16) in base 11?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 340*l. Let g(k) = -28819*k**2. Determine g(y(r)).\nAnswer: -3331476400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let x(t) = 3*t + 4. Let g(z) = z + 1. Let j(w) = -4*g(w) + x(w). Give 13*j(i) + 6*p(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55.04142km?\nAnswer: 55041420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7523467 and 65281.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 16*u + 43. Let v be p(-14). Solve -4*g + 7*g = v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -1 - 1 - -3. Suppose -h = 2*h + 9. Put h, 1, b in descending order.\nAnswer: 1, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.3 (b) -2\/2703 (c) -5 (d) -1240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + g = a + 1, -2*a = -3*g - 27. Let f = a - -27. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + 23\/7. Let s = -105 + 102. Put l, 4, s in increasing order.\nAnswer: s, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -23.4. Let c = 4 + t. What is the nearest to 0.2 in c, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*q - 94*q = 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 490543?\nAnswer: 490543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.076363143 to two decimal places.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h + h - 1527 + 1530 + 5*h**2 - 5*h**3 + h - h. Let g(k) = 2*k**3 - 2*k**2 - 4*k - 1. Suppose -3*x + 2 = -10. Give x*v(p) + 11*g(p).\nAnswer: 2*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 11114 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -32, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2104964 times 0.5\nAnswer: 1052482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 357521.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**5 - 3*h**5 + 2*h**5 + (-h**4 - 2*h**4 - 3*h**4)*(0*h + h - 5*h)*(27 - 7 + 4))*(-9 - 5 + 5).\nAnswer: -5166*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 884\/29 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34.8 and -0.92?\nAnswer: 33.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50672747 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 660\/(-36)*(-5)\/15*12\/20.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -612*f**2 - 14050*f + 595. Give p(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 3*h**7\/14 + h**6\/2 - 8*h**5\/3 - 10*h**4 - 40*h**3\/3 - 7*h**2. Factor z(g).\nAnswer: 5*(g - 2)*(g + 2)*(3*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7577 - 70 - 7786 = 385*a - 4653 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6*k = -26, -n - 58 + 47 = 2*n - 5*k for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -615153 (base 7) in base 11?\nAnswer: -71a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*h - 19*h - 24. What is the third derivative of 1098 + t**6 - 1089 + 3*t**2 - t**h wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544973738 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**7\/1470 - 17*z**6\/840 - 13*z**5\/140 + 17*z**4\/168 + 19*z**3\/21 - 2*z**2 - 39. What is j in r(j) = 0?\nAnswer: -2, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t. Suppose 0 = 5*b - 3*n - 21, -57*b + 54*b - 5*n - 1 = 0. Let c(r) = -25*r**2 - r + 1. Let h be c(1). Let u(v) = 65*v. What is b*u(a) + h*y(a)?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 4) + 13 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 1 - 2, -2*q = -5*n + 20299998. What is n rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 4*f = -20, -4*f - 257 + 237 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 7*q**2 - 5*q - 10*q**2 + (3 - 1 - 4)*(2*q - 5*q + 9*q)*(12*q + 8*q - 5*q).\nAnswer: -183*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6115*-6419.6.\nAnswer: 39255854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.48 - 14.48. Is f at least 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -4*m + 0 + 0*m**5 + 0*m**6 + 0*m**4 + 3\/14*m**7 + 0*m**2 - m**3. Find the second derivative of b(o) wrt o.\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5048961191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13865 in -10, -0.2, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 298, 2430, 8358, 19984, 39210, 67938, 108070, 161508?\n\"Answer: 317*p**3 - 4*p**2 - 75*p + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r**3)*(-3342*r**2 + 8071*r**2 - 2645*r**2).\nAnswer: 4168*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253190 is divided by 8160?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r - 2*r**2 + 3*r**2 + 5 - 12. Let b be k(-7). Solve 2*i + b*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38843977?\nAnswer: 38843977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -5114135\/28 + 1278532\/7. Suppose w + 3*o - o = -6, 2*w = 2*o - 6. Let u = -9 - -17. What is the fourth smallest value in w, u, -0.06, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 312?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dudd. Give prob of sequence dud.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 1 - 1)*(0*s - 4*s + 3*s) - 2*s**2 - s**2 + 4*s**2 + (-s + 3*s**2 + s)*(-2 - 3 + 0).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - h**2 + 0*h**2)*(-3 - 4 + 1) - 3*h**2 - 2*h + 2*h.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.129 + 53.871. Let s = l + -241. Let t = -184.37 - s. Round t to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -37, -51, -65, -79, -93?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1681 is divided by 558.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 18*n - 96. Suppose 2*t = -0*t + 2*l + n, 0 = -t + 5*l - 8. Suppose 3*x - 1 = t. Let k(r) = -r**3 + 7*r**2 - 8*r + 7. What is k(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**3\/3 - 8*h**2 - 15*h - 1592. Solve d(r) = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + d**2 - 1. Let i be h(-1). Solve i*s = -m - 7, 0 = -5*s - 2*m - 0 - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1) + 66\/11. Find the second derivative of 5*b**t + 11*b**4 - 13*b**4 + 7*b wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*o - 2*c, -3*o = 2*c - 112 + 113 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76607718 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*m**2 + 27*l**3*m*y + 2*l**2*m - 590*l**2 - 22*l*m**2*y - 142*m**2*y + m**2 wrt m.\nAnswer: 4*l**3 - 44*l*y - 284*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1118*p - 305177. Give f(-273).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*-1*1)\/sqrt(12)*-6)\/(((sqrt(384) + 2*sqrt(384) + sqrt(384))*1 - sqrt(384)) + 2*sqrt(384)*2 + sqrt(384)))**2.\nAnswer: 27\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + (1 - -1))\/(-1). Let v be 12\/8 - 10\/(-4). Suppose -6*r + v*r - 3*n = h, 2*n = r - 12. Sort -4, r, 0 in decreasing order.\nAnswer: r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. Sort -0.4, -4, -0.5, m.\nAnswer: -4, -0.5, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 23 = 5*k, 5*z = -k - k - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-1401*n - 185189 + 92596 + 92592).\nAnswer: 2802*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.265040931, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -58 (b) 640.286 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + -7. Let z be (1 + 3)*l\/16. Calculate the common denominator of -31\/7 and (z\/50)\/(2\/(-124)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = 23, 0 = -4*k + f + 203. Let t(y) = 3*y - 52 + k - 4*y. Let c(h) be the second derivative of 16*h**3\/3 + 13*h. Give t(c(v)).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 280 - 7?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, 5, 3, -3, -13?\n\"Answer: -2*p**2 + 8*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - x**2 + x + 1. Let q be t(1). Solve -4*l - 12 = -q*o, -3*l - 2*l - 17 = -4*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/(-79 - (-44 - 63)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/h)**(-20)\/(h*h\/(h\/(h\/(h*h**(-1\/3)\/h)))*h*h**(-3\/4)))**(33\/5) assuming h is positive.\nAnswer: h**(7579\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189.94 years in millennia?\nAnswer: 5.18994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - 2*v**4 + 5*v**4)*(3*v - 3*v + 3*v) - v**5 + 4*v**5 - 4*v**5 + (3*v + 0*v - 2*v)*(3*v**4 - 5*v**4 + v**4).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.18 from 23829.3.\nAnswer: 23821.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9006046 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 13582 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*a**5\/11 + 6*a**4 + 60*a**3\/11 = 0. Calculate a.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034342 to 7 decimal places.\nAnswer: 0.0000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 2423640.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (13 - (-18 + 35))) + 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {q: 6, p: 2, h: 3, f: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 674577.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.59732356 rounded to two dps?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-5)*(-10)\/(-4) + 0. What is the third derivative of 29*z**s + 202*z**5 + 2 - 19*z**5 - 137*z**2 - 1 wrt z?\nAnswer: 10980*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3443 - 0.0433. Let a = t + -0.061. Let c = 23.24 - a. Which is greater: c or 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8906581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 190 = 5*t, -t - 23 = 2*p + 19. Let o = 38 + t. Put 2, 1, -2, o in decreasing order.\nAnswer: o, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 - -1003. Suppose 7*n - o = 304. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1395\/(-30))\/(6\/(-4)). Suppose 26*d = u*d - 50425. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 - l**2 + 5*l - 4. Let p be g(3). Let b = 34 - p. Suppose 2*x - 38 = -m + 72, -3*x + b = m. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(6)\/sqrt(3) + 1 + 3 + -1*sqrt(98)*4 + 5)**2).\nAnswer: -6176 + 1944*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 5525.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3114985\/35 + 6\/14. What is j rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122 + 11?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 4990178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(9\/(-24))*3\/2. Let m(p) be the first derivative of 3 - 1\/2*p**o + p**2 + 0*p**3 + 0*p. What is the second derivative of m(h) wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 1, g: 3, y: 1, v: 1, c: 3}. Give prob of sequence gg.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 22*r**2 + 8*r - 103. What is p(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 24, -154, 32 in decreasing order.\nAnswer: 32, 24, 2, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 5*s + 562 = 0, -5*h + 2758 = s. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + -10 + 1 + 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102310 (base 4) to base 3\nAnswer: -1122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y - 42. Let r be i(-7). Solve -4*p + 11 = 5*q - p, 2*q + 3*p + 1 = r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y\/(y*y*y**(-11)\/y))*y*y)\/y**(-1\/13))**(4\/13) assuming y is positive.\nAnswer: y**(-516\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 8. Let v = 5\/7 + f. Is 3\/4 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = 25*d + 6. Solve 2*t + 5*z = -d, t + 4*z = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 396178221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:46 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 998386 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29862851 or -29862859?\nAnswer: -29862859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2948 is divided by 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/12 - (-13)\/26. What is the closest to k in 1, -1\/10, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (1 - (-10 - -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93355 is divided by 30760?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -282 - -469. What is the highest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 670*w + 8269. Determine j(-13).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -1385.\nAnswer: -33240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 145, 242, 339, 436?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-12 - 5) + 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k + 7*m - 0*m + 96, -k - 79 + 33 = 4*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20092 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14453412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 443*g**2 + 326*g - 30. Let b(f) = -222*f**2 - 164*f + 14. Let u(l) = 7*b(l) + 3*n(l). Find z, given that u(z) = 0.\nAnswer: -4\/5, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 5*v**2 + 3*v + 7*v**2 - 3 + 5 + 0*v. Let x be p(3). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {b: 3, x: 9}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let g be d(-2). Suppose -11*s = h - 15 - 27, -18 = -4*s + h. Suppose -w - 25 = 4*w, s*p - g*w - 334 = 0. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 = -g + 6*g, 5*r = -g - 9. Which is the third smallest value? (a) -4 (b) 2 (c) -80 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (-2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22167 - -3?\nAnswer: -22164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 144. Let s be -3 + r\/(-1) + 36. Solve 28*f = s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rre when three letters picked without replacement from {e: 8, w: 1, r: 6}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 386 or -476?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -117*l. Let k(d) = -2*d. Give k(z(a)).\nAnswer: 234*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11754 divided by -1?\nAnswer: -11754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 857451?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 7. Let v = -5 - q. Which is the smallest value? (a) v (b) 1\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3348825418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.3 + 16.4. Sort v, 1\/8, -0.5, -2 in decreasing order.\nAnswer: 1\/8, v, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -5, 3 in ascending order.\nAnswer: -13, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/8*56\/35*5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329\/5 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -18*a - 58. Determine q(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in 0.1, 0.4, 18, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 357330188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f + 3*i = 14*f - 138, -5*f + 5*i - 41 + 175 + 96 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 36*y - 336 = 0. Which is the third biggest value? (a) 0.3 (b) -0.2 (c) -1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 - 4*u + 3. Let j be 2\/6 - 26\/6. Let l(f) = -2*f - 4. Let b be l(j). Calculate y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*v + 68*v + 53*v - 168*v.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 3*t**2 + 4*t + 2. Let k be m(5). Suppose 2*r - k = -r. Calculate the remainder when 93 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27532994497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**3 + 5*z - 9. Suppose -3*w = w + 12. Let d(h) = -5*h**3 - 3*h + 5. Let y(x) = w*j(x) - 5*d(x). What is the first derivative of y(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(2\/(-3))\/(8\/(-12)). Let t be 38*19\/10 - z\/(-5). Let o be ((-45)\/12)\/((-2)\/t). What is the greatest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 + 1407929 - 9*v**2 - 1422089 as i*v + l*v**2 + a and give a.\nAnswer: -14160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -525*y + 1104 - 181 + 652 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t**3 - t**2 - t - 1. Let u be v(2). Suppose -p - 140 = -5*p. What is the highest common factor of u and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-54) - (267\/(-9) - 15)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 26. Let t be m(-16). What is the hundreds digit of (-4)\/t - (-24416)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-9))\/(-4)*9. Suppose -t*l = l - 20. Let q(z) = -z**2 - 14*z - 47. Let k be q(-5). Put l, k, 6 in decreasing order.\nAnswer: 6, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 31. Let t = j + -8. Which is smaller: t or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/10647 and 55\/133?\nAnswer: 202293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -2628?\nAnswer: -29\/1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -39*s**2 - 4148*s + 12457. Determine u(3).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 269989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 28*q + 40. Let p(k) = 2*k + 2. Let n(d) = 16*p(d) - u(d). Calculate n(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(153)*1 - sqrt(153))*6 + sqrt(153))\/sqrt(9) + -2) + (((sqrt(102) + 1*sqrt(102) - sqrt(102))*4)\/sqrt(6) - (-5 + (sqrt(17) + 0)**2*-1)).\nAnswer: 2*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(((z**(-2)\/z)\/z)\/z))\/z)**37)**(12\/11)\/((z*z**(1\/2))**(2\/41)\/(z*z**(-2\/7)*z**(-1\/5)\/z)) assuming z is positive.\nAnswer: z**(3176878\/15785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1112.5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1116066975 to three decimal places.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (76 - 63 - (0 - 5)) + -15 - (16 + -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:48 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4200884, 8401788, 12602690, 16803590, 21004488, 25205384?\n\"Answer: -c**2 + 4200907*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 3*t - 5*h + 10, 3*h - 127 = -4*t. Let u(z) = -5*z - 1. Let x be u(-2). Suppose -x = 5*b - t. Solve -7 = -b*r + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3235664 and 10920366?\nAnswer: 87362928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 22 = 2*c, 2*c + c + m - 13 = 0. Let l(z) = 6 + 4*z**2 - c + 21 + 3*z**2 - z**3 - 10*z. Let f be l(6). What is the closest to 0.5 in f, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 6, 1003, 3 in ascending order.\nAnswer: 3, 6, 89, 1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 i when four letters picked without replacement from {y: 5, i: 9}.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 12:25 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 788631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 + 30*p + 3. Let c be i(6). Let f = 4 + -3. Sort f, c, 2 in increasing order.\nAnswer: f, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*v + 5*q - 105, 3*v = -q + 166. Suppose 60*m - 72 = v*m. Suppose 0 = 16*s - m*s + 6. Put 0, -2, 2, s in increasing order.\nAnswer: -2, 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c - c + (0*c - c + 0*c)*(2 - 5 + 4))*(-39 - 4 - 14).\nAnswer: 171*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 5*b + 11*b - 19*b + 3*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c + 0 - 8*c**2 + 1\/24*c**4 + 1\/60*c**5 - 8\/3*c**3. Is d(8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {u: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-82)\/(-6) - (136\/24 + -4). Put u, -5, -3, 2 in decreasing order.\nAnswer: u, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 12, -4*k + 2*l = -3*l - 8. What is the greatest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllflglllffllfffll. What is prob of sequence llf?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510801901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9229.611 micrograms?\nAnswer: 0.000009229611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*v + 3, b - 2*v = -v + 3. Solve 2*g = -5*w - b, 2*w + 2*g - 5 + 1 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + f = 2322, 2*f + 471 = -m. Let s be 88\/m + (-2)\/(-10). Let a = -101\/744 + s. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.36 * 0.5.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10028758 by 12.\nAnswer: -5014379\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67754360 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(2 + 2*(5 + (0 + sqrt(343))**2 + sqrt(343))).\nAnswer: 350*sqrt(7) + 17450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3*s + 27635*q**3 + 6575*q*s**2 with respect to s.\nAnswer: q**3 + 13150*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vopypvvpyvp. Give prob of picking 1 o and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxez when four letters picked without replacement from zkxzxezeekezxk.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Suppose l - 5 = 2*l. Let d(i) = 3*i**3 - 3*i**2 + i - 1. Let x(z) = l*m(z) - d(z). Is x(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8344 + 4594 + 42726 = 2*u. List the prime factors of u.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*n - 483. Calculate the remainder when n is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92344 = 73275*f - 74924*f for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + sqrt(1008) + 3 + sqrt(35)\/sqrt(405))**2.\nAnswer: 434*sqrt(7)\/3 + 330352\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10238167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 8:35 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a - 16*a - 4*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6968, -13347, -19726, -26105, -32484?\n\"Answer: -6379*x - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 25 = -85. Let d = m - 14. Suppose d*y = y + 35. Does 8 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*d**6*i - 29*d**5*i*j**2 - 3*d**2*i*j**2 + d*j**2 - 34*i*j**2 wrt d?\nAnswer: 1920*d**3*i - 1740*d**2*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002996 to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14487136 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 11. Let o be v(11). Let i = 25.965 - 6.965. Which is the second biggest value? (a) -1 (b) -4\/7 (c) i (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13342940755.999999862 - -13342940677. Let l = x - -79. What is l rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:22 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -244?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**4\/6 - 29*f**3\/6 + 2*f**2. Let l be d(-9). Suppose l*j - 20 = 64. Solve j = h - 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 1:26 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 698466450, 1396932902, 2095399354, 2793865806, 3492332258?\n\"Answer: 698466452*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p. Let f = 1 - p. Let o(u) = u + 8. Let w be o(4). Solve 0*k - k = b + f, 3*k - w = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 120\/25 + (-3 - 0\/(-3)) and 11\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 786958 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38275?\nAnswer: 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -5 in increasing order.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*b**3 - 22*b**3 + 23*b**3 - 5*b**3 + 4*b**3 - 2*b**3 + (2*b + 2*b - 2*b)*(0*b**2 - b**2 + 2*b**2).\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:03 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1518, -3\/4, 2, -4, -0.3, 0.23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4515, 4875, 5243, 5619, 6003, 6395, 6795?\nAnswer: 7203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 13. Let j be w(17). Calculate the common denominator of -34 and (46\/j + -4)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19570 - 19574. Put -219, b, -0.5 in increasing order.\nAnswer: -219, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 t when four letters picked without replacement from {f: 5, t: 14, m: 1}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -60, -2\/9 in ascending order.\nAnswer: -60, -4, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2524*h**4 + 16*h**3*n**3 - 5*h**2*n**3 + 757*h**2*n**2 - h*n**2 wrt h?\nAnswer: -60576*h + 96*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, 5, -336 in increasing order.\nAnswer: -336, -280, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 - 2 = 0. Let q be 6\/3 - (-1 - r). Solve -q*t - 3*t - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-45)\/24*(-16)\/(-12). Suppose -q*a + 9*a = -3. Solve 2*o - 1 = 3*p, 0*o = -a*p - 2*o + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 221 - 1685 = 0. Let d = 37 + w. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -497 and -614667?\nAnswer: 614170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70715, 138261, 205807, 273353?\n\"Answer: 67546*m + 3169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -19 - ((-12)\/14 + (-1)\/7). Is 9218\/5 - q\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44.906 - -56.27. What is u rounded to one dp?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1245\/415)\/((-30)\/4 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/420 - 277*o**5\/210 + o**4\/84 + 277*o**3\/21 - 28*o**2 - 2. Factor q(n).\nAnswer: -2*(n - 1)*(n + 1)*(n + 277)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574975624 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 4*x - 5. Let p be (-16 - 1278\/(-90))*-5. What is r(p)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -221 + 287. Suppose 71*f - 74*f + n = 0. Solve 5*l - 4*j + 2 + 4 = 0, 5*j - f = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 k when four letters picked without replacement from {c: 1, k: 4, d: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6317.117 centimeters?\nAnswer: 63171170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 12*k + 364. Let s be x(-15). Suppose -187*m - 24 = -s*m. Let y(o) = o**2 + 10*o + 9. What is y(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1499.87 + -1500. Which is the second smallest value? (a) -0.1 (b) 5 (c) j (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {b: 5, o: 2, q: 5, x: 1, w: 6}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 - 1 + 3*r**3 - 2*r**3 - 750*r**2 + 5*r**4 + 750*r**2 + 2*r to l*r + y*r**4 + n + o*r**3 + z*r**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 55799915?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -289 + a09?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvjvurvjeiiurj. What is prob of sequence irj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2)*c**(-2\/5)*c)**(5\/7) assuming c is positive.\nAnswer: c**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.01 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 11.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.79197 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4379*l + 355*l - 92*l)*(0*l**3 - 3*l**3 + l**3) in the form q*l**4 + i*l**2 + x + t*l**3 + c*l and give q.\nAnswer: 8232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1713064 and -9.4736.\nAnswer: -1713073.4736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7670160 divided by 4770\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/18*(-4)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/81 - (-230)\/18. Let s = -25 + m. List the prime factors of (s\/(-4) - 13)*-2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1722885 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 - 4 = -2*f, 3*k + f - 10 = 0. Solve k*t - 13 + 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2867451660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 34437.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 5*v - 2. Let p be w(-3). Suppose -3*q - 63 = -p*o - 8, -41 = -2*o - 3*q. Calculate the highest common factor of 32 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1*5 + -2*sqrt(228)*1)*4)\/(2*((-3*sqrt(432) - sqrt(432)) + sqrt(432))*6).\nAnswer: 7*sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*m**4 - 32*m**2 - 4928*m - 2 wrt m?\nAnswer: 3144*m**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455360 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 13*j + j + 3 to k + o*j and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayazoqyqaazaazo. Give prob of sequence qy.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/134)\/(175374\/(-1305562))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 400*j + 5968. Give x(-8).\nAnswer: 2768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((sqrt(72) - (sqrt(72)*-1 + sqrt(72))) + sqrt(8)) + -2 + sqrt(5) + (sqrt(125) - (sqrt(125) - -2*sqrt(125))**2).\nAnswer: -1127 + 25*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/(x**(-1)\/x))\/x)*x)\/x**(-3\/11)*x**(-4)\/(x*x**(2\/23)*x) assuming x is positive.\nAnswer: x**(-1724\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7117037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48697)\/5544)\/(-19) - ((-2)\/(-18))\/((-12)\/(-48))?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 6*w**2 - 2*w**2)*(0 + 2 + 1).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j + 7. Let r be a(13). Let h = r + 88. Let v(m) = 9*m**3 - 6*m**2 + m - 3. Is v(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(80)*1*2 + (sqrt(80) - (-3 + -3*sqrt(80))) + sqrt(80) + -2*1*sqrt(80) + (-6*sqrt(80)*-1 - sqrt(80)) + 3)**2.\nAnswer: 480*sqrt(5) + 8040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*(7\/(-4))\/(-7). Suppose u*l - 710 = 4*s, 1 = s + 3. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1000*i + 500*i - 148 + 491*i)*(7*i**3 + 7 - 7) as w*i + l + m*i**4 + f*i**2 + r*i**3 and give m.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21081 is divided by 213.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -58. Let s = j + 35. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -5*b - 1 + 3\/2*b**2. What is the first derivative of s(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = -16. Is t\/(-5)*-6*5 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h - 77*h + 19*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**3 - 3*x**3 + x**3)*(-x - 2*x + x)*(-1 - 3 + 12) in the form m*x + j*x**3 + y*x**4 + w + r*x**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 16 = -f, -4*f + 6*f = -2*k + 16. Let r = 4 - 3. What are the prime factors of (2\/r)\/(f\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -14. Is (-51746)\/u + -1 - (-8)\/(-56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411240739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73517 + -34637. Suppose 26*a = 21*a + j. What is the hundreds digit of 2\/14 - a\/(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 - 29*w**3\/2 + 14*w**2 + 29*w\/2 - 57\/4.\nAnswer: (w - 57)*(w - 1)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1141820 and 190920?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((6\/(-240)*-15)\/(15\/80))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2248362 and -64\/9368175?\nAnswer: 56209050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431658?\nAnswer: 2, 19, 89, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjyrrylyrrrlyrrrr. What is prob of sequence yr?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2 - 8. Suppose -2*m + 138 - 54 = 0. Suppose m = -5*i + 12*i. Solve 3 - i = q*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012567 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkd when three letters picked without replacement from {d: 13, k: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*i + 10378 - 16354 = 17068 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -19. What are the prime factors of (-2)\/(l - 7)*170?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7cb2 (base 14) to base 9\nAnswer: -32708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6200\/71 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55\/33 - (-49)\/21. Solve -b*u = -2*q + 6, q = -3*u - 2 - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3963\/21 - (-2)\/7. Suppose -4*v = -0*v - 3*f - 219, -4*v - 3*f + m = 0. Suppose -3*b + 0*b = -v. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - z = -20, -2*z = 5*k - 0*z - 25. Let s(b) = 2*b**2 + 11*b + 15. Let r be s(-2). Let i(g) = k - 4 - 2*g + r. Let f(n) = 5*n**2. Calculate i(f(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 598 = 154. What are the prime factors of s?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.1003 * 0.09.\nAnswer: -6.759027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 38 = -q. Suppose -q = -d - 0*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 6755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**3 + 6. Let m(r) = 6*r**2 - 6*r - 1. Let f(x) = -x**3 + x**2 - x + 1. Let s(o) = -6*f(o) + m(o). Calculate -4*p(d) - 3*s(d).\nAnswer: 2*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 25*r + 158. Let o be f(13). Solve 3*h + o*l = -1, -2*l = 3*h + h - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45398980.\nAnswer: 2, 5, 11, 19, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/((-6)\/(-20)). Suppose -k*h - 3*h**3 + 5*h + 2*h + h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21130310 (base 4) in base 11?\nAnswer: 2709a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 6*o**2 + 8*o - 3. Let l be h(7). Suppose -l*i = -3*p + 30, -2*i + 6*p = p + 22. What is the tens digit of 678*((-4)\/i - 12\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = -2. Let w be -2*((-42)\/4 + d). Suppose 0 = -3*j + 5*z + 13 + 4, -5*j - z = -w. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66862*x**4 + 2*x**3 + 424*x + 9 wrt x.\nAnswer: 802344*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -37575.803 to the nearest ten.\nAnswer: -37580","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 3428 + -3428. Which is the second smallest value? (a) 15 (b) p (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p = -33 - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697*d + 2282*d + 235200 = -3090*d for d.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 420?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 12 - (-90 + 92).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1617645 - 13*k - 152*k - 1617635)*(1 + 2 - 5) to the form z*k + d and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -21. Suppose z*r + 0*r - 81 = 0. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 18*p + 326. Give t(-19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 564, 556, 538, 504, 448, 364, 246, 88?\n\"Answer: -c**3 + c**2 - 4*c + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2959435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j - 11*j + 104*j + 36*j.\nAnswer: 115*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27141366 and 104538.\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let y(k) = -k + 1 - 1 - 19*k**2 + 6*k**2 + 12*k. Give t(y(d)).\nAnswer: 13*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.1 - -153.1. Is c bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8095*p = 30204 + 58841 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*o*t + 16998*f*o - 2*f*t - 331*f + 6 wrt o?\nAnswer: -2*f*t + 16998*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 14*t - 23. Let b be f(13). Is -36 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86944\/3431865 + 43247456992582871\/151002060. Let o = 286415836 - l. Let h = o - 12744. Find the common denominator of h and 29\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.80992 + 403153.80992. Let u = q - 403150.13999955. Let j = 0.14 + u. What is j rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -5*a**4\/4 - a**3\/3 - 2*a**2 + 2. Let r = -7 - -2. Let u(c) = -6*c**3 - c**2 - 5*c. Calculate r*w(q) + 4*u(q).\nAnswer: q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 856.6 - 857. Which is the second smallest value? (a) -4 (b) t (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 67880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/35 + 39\/140. Let d be ((-4)\/(-180)*-3)\/(5\/(-30)). Which is the third biggest value? (a) x (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1158321992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1740 * -0.001531\nAnswer: 2.66394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106 and 20?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -36, -55, -74?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2. Let x(u) = -u. Let d(o) = 8*o. Suppose 12 = -5*a - 2*f, 3*f + 2*f - 12 = -2*a. Let v(z) = a*x(z) - d(z). Determine v(s(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -405a (base 11) in base 2?\nAnswer: -1010100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let r be (1 + -4)*(-2 + s). Suppose 2*p - 16 = -4*m, 2*p - r*m = -3*p + 105. Calculate the highest common divisor of 144 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 16 - s**2 - 9*s + s. Let r be x(-11). Suppose 0 = -5*j + 15 + r. Solve -j - 1 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -432013 + 0?\nAnswer: -432013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**2)**26)**(8\/5)\/(a**(-2\/3)\/(a*a*a\/(a\/a**(3\/5))*a)*a**(-3)\/(a*a**(-5\/3))) assuming a is positive.\nAnswer: a**(657\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*z**2 - 2*z - 546*z**2 + 4*z - 2 - 10*z**3 - 7*z**3.\nAnswer: -17*z**3 - 1121*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60890 + 55887 - 78397 = -100*j. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 - -0.31. Which is the third smallest value? (a) 0 (b) r (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/h**(2\/7))\/(h*h\/(h*h\/h**(-2\/7)*h))**39 assuming h is positive.\nAnswer: h**(363\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 213? (a) -0.2 (b) -0.8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 33, 52, 71, 90?\n\"Answer: 19*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27737836*z**3 - 241117*z - 615?\nAnswer: -166427016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n - 8. Solve -5*f = 20 + n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4900)*-1 - sqrt(4900))\/sqrt(7) + 4.\nAnswer: -20*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 6)*(4 - 2 + 0) + 3 - 3 - 5 - 4 + 3 - 1 + (2 + 2 - 2)*(-3 + 0 + 1) - 5 + 4 - 5)*(-3*i**2 - i**2 - 3*i**2).\nAnswer: 105*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnm when three letters picked without replacement from msszpnsmmn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833659130 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -2\/11, 15\/178?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*p**2 - 1)*(-2*p**3 + 0*p**3 + 0*p**3) - 353*p**5 - 565*p**5 + 482*p**5 + (-5*p**4 - 2*p**4 + p**4)*(-5*p - 6*p + 5*p).\nAnswer: -396*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74238 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(891) - (sqrt(891) - (sqrt(891) + 4 - sqrt(891))*3)) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = d + 4*d. Let a(k) = -k - 1. Let w be a(-2). Suppose -s = -w - 2. Calculate the lowest common multiple of s and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8229000 to the nearest 100000.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1618, 3536, 5468, 7414, 9374, 11348, 13336?\nAnswer: 15338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20221\/6 + -3347. Suppose -n - 20 = 2*n + 4*o, -2*n - 25 = 5*o. Calculate the common denominator of y and ((-58)\/(-34))\/(-1 + n).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*k - 46. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (183\/(-1098))\/(3\/(-2))*-9. Let z(k) = 5*k**3 - k**2 - 4*k**3 - 4*k**3. Give z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + -5 + -2 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*y - 29 - 181 = 0, -y = -3. Let x = g - 35. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 17*d**7\/210 + 7*d**4\/24 + d**3\/2 - 81*d**2. What is the second derivative of z(r) wrt r?\nAnswer: 204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-6)*x)\/x)**(5\/14) assuming x is positive.\nAnswer: x**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/60 - r**4\/6 - 7*r**3\/6 - 2*r**2 - 731*r. Let b be 1*8 - (4 + -2). Give l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1940600050 minus 0.4?\nAnswer: -1940600050.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = 10. Let q = -2 - -42. Let k = q + -18. Calculate the smallest common multiple of k and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**6\/2 + 225*j**4\/4 - 11*j**3\/3 + 83*j - 398. What is the third derivative of b(c) wrt c?\nAnswer: -180*c**2 + 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.7 (c) 3.8 (d) 9 (e) -0.4 (f) -14.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.905 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**4 + 3*s**3 + 41 + 5*s**4 - 46 - 2*s**4 + 41 in the form w + c*s**4 + u*s + b*s**2 + r*s**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 143*s**2 - 5040*s - 5184.\nAnswer: -(s - 72)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2 + u**2 + 1 + 0*u**2 - 5. Is 7 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 5*m - 39. Let p be s(6). Solve -w + l = -l + p, -2*w + 5*l = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18)*-3*300\/(-250).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4, 3*x + 6 = -5*s + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(3*u - 6*u + 2*u)*(2 - 1 + u**2 - 3).\nAnswer: 2*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*u, -2*f + 23*u = 28*u + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 4*v\/5.\nAnswer: -v*(v - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:41 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19256652 is divided by 1454?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576244820 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Let s = j - 10. Let g be 0*(-1)\/3*1. What is the nearest to 2\/5 in s, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -1943225?\nAnswer: 1943224.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3704 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(sqrt(396) + 0)**2 - -3*(sqrt(396) + 2)*2.\nAnswer: -6324 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*w + 4*i + 39, -32 = -2*w - 2*i. Calculate the remainder when 43 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2698 + 2686.328. Let w = -0.072 - n. Let f = w + -11.6000047. Round f to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 11) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(11) + -2.\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588\/5 greater than 317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*(-1292*j + 2 + 1277*j + 2).\nAnswer: 15*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -0.05. Let o = -0.04 - 5.96. What is the nearest to s in 2\/15, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*j*x - 10175302*j - 56701*x wrt x?\nAnswer: 28*j - 56701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a. Let g(y) be the third derivative of 4\/945*y**7 + 0 - 2*y**2 + 0*y - 1\/540*y**6 + 1\/504*y**8 + a*y**3 - 1\/135*y**5 + 0*y**4. Factor g(m).\nAnswer: 2*m**2*(m + 1)**2*(3*m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -4, 1\/8, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3730.6*-26.796.\nAnswer: -99965.1576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 + 128 = 5*n. Let a be 2218 + (n - (-20)\/4). Suppose -8*y - a = -17*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - 2*h**2 + 2*h + 3. Does 14 divide m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -15*h**2 - 144*h. Let q(n) = -n**2 - 8*n. Let r(i) = -c(i) + 18*q(i). Let u(g) = 349*g**2. Calculate r(u(k)).\nAnswer: -365403*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 216750 = -3*b, -606*b + 144498 = -604*b + d. List the prime factors of b.\nAnswer: 2, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2274?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31213203 - 32303?\nAnswer: 31120300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.05 - 0.05. Suppose 5*a = -v - 738, 0 = -2*v - 2*v - 12. Let x = a - -141. Put i, x, 3 in descending order.\nAnswer: i, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 54152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -500428.789963 - -500429. Let p = -5.4 + 5.19. Let c = y + p. Round c to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1) + ((-4 - 3) + 6 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 3*n**2 + 3*n - 4. Let i be x(3). Suppose -f + 96 = i*q - 9, -3*q = 2*f - 63. Let d = q + 3. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1 + -4)**2 + (2*sqrt(448))**2 + 5 + (-2*sqrt(448)*2*-5)**2.\nAnswer: -64*sqrt(7) + 181461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-26)*2*-1*(-545)\/2289?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -7)*(4 + -2). Let t(s) = 4*s + 9 + h - s**2 - 15*s + 0*s**2. What are the prime factors of t(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-197)\/((-153660)\/(-360)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 24 = -2*t, -4*t - t - 3*l = -82. Let q(y) = y**2 - 13*y - 27. Give q(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 17*z - 7*z + 2*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z - 5. Let g(b) = b. Give -5*g(w) - t(w).\nAnswer: 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 + 2 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74292070 to the nearest integer?\nAnswer: 8619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -6. Let u = -6 + 15. Let f = -12 + u. Which is the closest to -2? (a) w (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2496)*5 - sqrt(2496)*2*-4)\/((sqrt(24)\/(sqrt(72) + sqrt(8)) + (2*sqrt(48) - sqrt(3)))*-2).\nAnswer: -288*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 3548430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40490588, 80981175, 121471760, 161962343, 202452924?\n\"Answer: -t**2 + 40490590*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 170624\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1458506 times -3\nAnswer: 4375518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q + 4. Let i be z(3). Let j be (-8)\/(-6 + 2) + -4. Let x be (25\/(-20))\/(j\/(-16))*-2. Solve -2*b = 5*s + i - 0, x = -b - 4*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 4207 - 4735 = 5958. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: d42 (base 14) to base 9\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10016915+768627\nAnswer: -9248288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/64 and 17\/16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 602\/1081?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 9\/12 + (3 - (-490)\/40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g - 26*g - 7 + 6 + 3*g**3 - 3.\nAnswer: 3*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 623147003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(7) - -1*sqrt(700))**2*-5 + -2 + ((sqrt(448) + 0)*-6)**2.\nAnswer: 11086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 15. Let f = 56 + -61. Let i = f - z. Which is greater: -0.3 or i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + -0.9. Let s(p) = p**3 - 8*p**2 + 8*p + 23. Let x be s(6). What is the smallest value in x, 6, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (20 - (-13 + 9)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*h - h - 8, 2*h = -f + 9. Calculate the highest common factor of 25 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 9*v**2 + 3. Let r be t(-9). Let w be (1 - -2)*(-8)\/(-6). Suppose -4*b + 56 = -r*n, -3*n + 34 - 2 = w*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let j be (-28)\/(-105) + 2\/(-3). Put 2\/11, u, j in decreasing order.\nAnswer: 2\/11, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56066 (base 7) to base 10\nAnswer: 14111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -13.44. Let v = k - 0.06. Which is the third smallest value? (a) -2\/17 (b) 1\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 100a + 3d?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 107952, 107938, 107924, 107910, 107896?\n\"Answer: -14*p + 107966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let v be m(1). Let h be 0 + (2 - 4) + v. Find the second derivative of p**2 + p**2 + 0 - 3*p + h wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*7\/(-168))\/((-1)\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 2*m + 2*m)*(-7*m - 2*m**2 - 16*m + 11*m).\nAnswer: 2*m**5 + 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0\/v)\/((v*v**(1\/27))\/v*v)*(v**0)**(1\/62) assuming v is positive.\nAnswer: v**(-28\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 2 q when four letters picked without replacement from {h: 13, q: 3, c: 2}.\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -854.80221 to 0 dps.\nAnswer: -855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**4 - p**3 - p**2 - 3*p. Let t(m) = -432*m**4 - 5*m**3 - 5*m**2 - 15*m + 352. Let z(g) = t(g) - 5*w(g). What is the derivative of z(f) wrt f?\nAnswer: -1748*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2716\/3 + 906. Solve q + 2\/3*w**3 - 2\/3*w - 2\/3*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*7\/(-56)*6)\/((-2)\/(-12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/154 - 4\/22. Let p(f) = -f**3 + f**2 - f + 26. Let m be p(n). Suppose -16 = -4*b + 5*x, -5*x + 73 = 3*b + m. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ab3 (base 12) to base 9\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -445*g + 151*g + 18*g**2 + 152*g + 10 + 140*g in the form o*g + q*g**2 + z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-363)\/(-44))\/(3\/8). Suppose -n = -a - 9. Let v(c) = -c**2 + 14*c - 11. Let q be v(a). Solve w - 20 + 3 = -5*k, 0 = -q*k + 4*w - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9629 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 295\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-957)\/48)\/(2645\/10). Let t = r + -15553289\/1815528. Let h = t - -205\/26. Calculate the common denominator of 26\/3 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414 (base 14) to base 4.\nAnswer: -30202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 5*m**2 + 8*m + 15. Let y be p(-3). Which is smaller: y or 2\/11527?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 2. Suppose 8*t + 14 - 46 = 0. Let y(q) = -3*q + 22. Calculate the smallest common multiple of z and y(t).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -21*s**2 + 10*s - 21. Let w(q) = -43*q**2 + 18*q - 41. What is -11*a(b) + 6*w(b)?\nAnswer: -27*b**2 - 2*b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**6\/60 + 13*h**5\/30 - 47*h**3\/6 - 41*h**2 - 36*h. Let d(c) be the first derivative of f(c). Differentiate d(n) wrt n.\nAnswer: 6*n**2 + 52*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2056972 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11862 - -0.21862. Which is the nearest to z? (a) -107\/13 (b) 3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**0\/q))**(-3\/5)*(q*q*q**(2\/5))**(-8))\/((q**(-3)\/(q\/(q**(3\/5)*q)))\/(q**(-1\/4)*q**(-2\/3))) assuming q is positive.\nAnswer: q**(-1099\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 4. Let w be z(-3). Suppose -14*f = -w*f. What is the units digit of -7*(5 + f)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + h**2 - 5*h + 4. Let j be (-192)\/32*(9\/6 + -1). Give m(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*b**3 - 771*b**3 + 64*b**3.\nAnswer: -1098*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*v**2 + 3 + 3*v**2 - 2 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3723843 and 473.\nAnswer: 40962273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497135847?\nAnswer: 3, 13, 2903, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a factor of 232712835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 20 = -4*f. Suppose 3*h + 9 = -3*j, -2*j + 3*h = 2*j + 12. Let r be 6\/(-4)*4\/j. Solve 3*y - 18 = g - f, -r*y = 2*g - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6523.6 - -6523. What is the nearest to v in 1\/3, -0.1, 1012, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00235273133 rounded to five decimal places?\nAnswer: 0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4, 0 = 3*j - 0*i + i - 11. What is the lowest common multiple of 3\/(18\/(-4))*-15 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/12 + 2*d**3\/3 + 2*d**2 + 2*d. Suppose -23*q + 24*q + 24 = -5*s, 0 = 4*s + 16. What is u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 m, and 1 b when three letters picked without replacement from {b: 1, g: 3, m: 1, s: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122 and 1769?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 1 = y, 0 = -z - 4*y + 4738 - 4721 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-498)\/(-36) - (-1)\/6. Suppose -4*h = -11*h + k. Suppose 0 = -h*m + 16 - 6. What is the smallest common multiple of m and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000*j + 332657 = 3476*j - 56755 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1488650 and 548450.\nAnswer: 10420550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 245*d + 58 - 29*d.\nAnswer: 216*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/29220 and 169\/12078.\nAnswer: 58819860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5)*a\/(a\/(a*a*a**(3\/8)))*a*a*(a*a*a**(-1\/2)\/a)**50)\/((a\/(a*a\/a**(1\/3)*a)*a)**(-2\/41)\/(((a**(-1\/3)\/a*a)\/a)\/a**(-1\/8))) assuming a is positive.\nAnswer: a**(11289\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439774478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hheuehfehh. Give prob of sequence uh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1003 - 2?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 9.3. Let x = 0.08 - 8.08. Let g = z - x. What is the second biggest value in -1\/9, 2\/21, g?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -39. 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: Let i = -16 - -21. Suppose -19 = -5*s + 2*j, i*s = s + 3*j + 18. Suppose -4*t = -f + 20, f + s*t - 34 = -0*t. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 153*g + 161. What is u(67)?\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 0 - 1\/6*w**4 + 1\/4*w**2 + 0*w**3 - 11*w - 1\/42*w**7 + 1\/20*w**5 + 1\/20*w**6. Find q such that v(q) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 8. What is t(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((0\/(-29) + (-9 - -3))\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7206114 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -100110 (base 2) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61299 by 147.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056633 + -6609427.\nAnswer: -6609427.056633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*s - 2*s + 3*z, 7 = 2*s + 3*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/28*2\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 5, s: 1, q: 2, f: 7}. What is prob of picking 2 c, 1 s, and 1 p?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 669*p**2 - 1404*p**2 - 1502*p**2 - 519*p**2 in the form t + g*p**2 + z*p and give g.\nAnswer: -2756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 706 and -3.\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2519011 by 229001.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 11*u**3 + 2*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105631*w - 399938*w - 35475*w - 3 + 3.\nAnswer: -541044*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = -4*j, -1 = -3*a - j - 7. Let m = 0.934 + 0.066. Let u be 4\/(-10) + 48\/270. What is the nearest to a in -5, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -2\/3*f**3 - f**2 + 0 + f. Differentiate z(r) with respect to r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 15. Let n = u - 8. Let s = -3 - -2.5. Which is the closest to -1? (a) n (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j - 85 = -715 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2183 + 2170. Let g(d) be the third derivative of d**4\/24 + d**3\/3 + 29*d**2. Give g(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -621, -690, -829, -1062, -1413, -1906?\nAnswer: -2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 86\/18 - (-10)\/45. Suppose -7 = -4*g + 3*y + 6, 4*g = -3*y - z. Let x(r) = -5*r**3 - r**2 + r - 1. What is x(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 - -103) + (-8 - -1) + 8 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/(-322))\/(100\/(-210)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 c, and 1 h when four letters picked without replacement from {c: 1, u: 2, b: 4, z: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 307, 310, 315, 322, 331, 342?\n\"Answer: y**2 + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53.7 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30*((-148)\/(-20) - 7). Let g(m) be the third derivative of m**6\/120 - 11*m**5\/60 - 11*m**4\/24 - 8*m**3\/3 - 2*m**2. What is g(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38789 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.36 - 2.16. Let v = l + 0.6. Let n = v - 1.8. What is the third smallest value in -17, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**2 + 564 + 572 + 16*m**2 - 1124.\nAnswer: 40*m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 1. Let u(i) = -3*i**2 - 12*i + 1. Let l(k) = 2*d(k) + u(k). Let m be l(-11). Solve -c = c - m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-6))\/(464\/32 - 15). Which is the second smallest value? (a) -2\/19 (b) 2.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1, -1\/17, -36, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -63?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 + 3*z**4 - z**4)*(6 - 7 - 2).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56306 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-44 - (-2 + -36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by 6\nAnswer: 173\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131 or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 16) in base 14?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 5*o + 3*o)*((-o**4 + 3*o**4 + 0*o**4)*(4 + 8 - 3) + 4*o**4 + 0*o**4 - 3*o**4).\nAnswer: -38*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6190*b = -6195*b + 39775. Calculate the remainder when b is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -129 (b) -2 (c) -4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 87 = -3*p, 178 = 5*p + 303*s - 307*s - 14 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 43, 13, -67, -215?\n\"Answer: -3*a**3 + 2*a**2 + 17*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 2, p: 4, k: 3}. Give prob of sequence pk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3238, -13061, -29422, -52315, -81734, -117673, -160126?\n\"Answer: v**3 - 3275*v**2 - 5*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*k - 13 - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -577, -567, -557, -547, -537, -527?\n\"Answer: 10*s - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270413 or -811238\/3?\nAnswer: -811238\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 633. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460967 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, m: 2, l: 3}. Give prob of sequence lhh.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (4\/16)\/(6\/200)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0, 9, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*i = -30, -4*o = -o + 2*i - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 43391 = -139715. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -95*g. Let b be a(-1). Let w = -13 + 18. Suppose -2*x = w*k - 180, 3*x + x = -20. What is the highest common divisor of b and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - t + 2 = 0, 3*s - 6*t = -4*t + 14. Let d(q) = 315*q - 315*q + s*q**2. Let b(a) = a + 11*a - 7*a. Give b(d(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 3 + 3 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 9*k**2 + 7*k + 16. Calculate the remainder when c(-7) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 1495061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 91789.8 years?\nAnswer: 917.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13130322103 (base 4) to base 16.\nAnswer: 1dce93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/60 + a**4\/8 - 7*a**3\/6 + 5*a**2. Let k be u(-5). Let x = k + 61. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125419721 by -427.\nAnswer: 293723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 559*s**2*w - 59*s**2 + 5*s - 2 with respect to w.\nAnswer: 559*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + 2*a)*(2*a**4 - 3*a**4 - 3*a**4) + (-5 + 2 + 1)*(a + a**5 - a).\nAnswer: -14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssouus. Give prob of picking 1 u and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007316 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-48)*6\/(-15))\/(4\/34)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + sqrt(51)\/sqrt(3).\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 3, -1, -7, -15?\n\"Answer: -g**2 + g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.602472364 - 232.395?\nAnswer: -233.997472364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15b - 3?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108 - -9) + (2 + 6 + 5 - (-1 - -2))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34570210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 308.8188310161\nAnswer: 252.8188310161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14.0828 or -13.8?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 9*i - 37\/4 + 1\/4*i**2 = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r. Let z(g) = 2*g + 2*g - 5*g. Let b(n) = -4*a(n) - 11*z(n). Let f(h) = 2*h - 4*h - 8*h + 2*h. Determine b(f(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 11851.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242*y + 1962 = 2460*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1303\/7 + 186. What is the closest to 3\/2 in -0.2, 1\/2, 0.2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 27\/2*d**3 - 11\/60*d**5 + 2*d**2 + 0*d + 0*d**4 + 43. What is the derivative of r(l) wrt l?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2.9, 5, 2, -13\/6, -1.6 in descending order.\nAnswer: 5, 2.9, 2, 0.2, -1.6, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/16 and -51\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1160 and 55?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from bwbwxwwbw.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 40*t**2 - 92*t - 202. What is the tens digit of w(-37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536232949?\nAnswer: 7, 139, 551113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umbubbmuu. What is prob of sequence bmu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5140 - 402?\nAnswer: -5542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*f, 3*q - 4 = -3*f + 5*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (325\/650)\/(((-6)\/16)\/(3237\/(-52))).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -13903039?\nAnswer: 13903039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 10*a**2 - a + 11. Suppose 0*v = 4*v + 40. Is 15 a factor of q(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61095*d*p + 27048*d with respect to p.\nAnswer: -61095*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 18*x**2 - 37*x - 39. What is the remainder when i(-16) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(104)\/sqrt(2) - sqrt(52))*4 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (-63 - -122 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 8 + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2820 + 2830. Which is smaller: 283 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101101 (base 2) in base 13?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2840835\/14 - -202657. Let n = 260 + w. Let h(d) = -d**2 + 13*d - 22. Let v be h(11). Is n less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96482 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, g: 2, w: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 669, 2663, 5915, 10365, 15953?\n\"Answer: -10*r**3 + 689*r**2 - 3*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/153744 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.041 + 0.041. Sort -54, -4, u in ascending order.\nAnswer: -54, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-1365)\/(-103450)) - (90\/63)\/(-5). What is the third biggest value in u, 3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 264*k - 3968. Let i be g(15). Does -516\/77 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4480000 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -1.17, -10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(143))\/sqrt(11)*-3)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3497 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -640\/2239 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1110, -8760, -29542, -70026, -136782, -236380?\n\"Answer: -1095*j**3 + 4*j**2 + 3*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -29de (base 16) to base 11\nAnswer: -8064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -4, 3\/4, -12873?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p**3\/5 - 10740784*p**2\/5 + 7671983*p\/5 + 3068794\/5 = 0 for p.\nAnswer: -2\/7, 1, 1534397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -27. Let n be 1522 - (q + 9\/3). Suppose 17*h + n = 19*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135574.\nAnswer: 2, 53, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.6 + -8.3. What is the third smallest value in -0.3, k, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003806 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 - 10*l**2 - 11*l + 9. Let j be d(4). Let y = 454 + j. Solve -g = -y*u - 2, -u + 5*u - 9 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-12)*k)**(-39)*((k*k**(-1))\/k*k*k)**(2\/3))**(-25\/6) assuming k is positive.\nAnswer: k**(-32225\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(3\/(-12)). Solve -7 = 3*v - d*i, 0 = -4*v - 0*i + 4*i - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597 + -0.0272?\nAnswer: 1596.9728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 109589.04 nanoseconds?\nAnswer: 0.0000000304414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + b**2 - b + 12. Let t be q(0). Let r(d) = -1 + t*d - 24*d + 10*d. Give r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4130 and 236530?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 27) + 13 + 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 - 10*z**2 + 19*z - 9. Let m be v(2). Solve 6 = -4*y + 2*a, -3*y = a + 13 - m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/175 and 53\/19000?\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/22 + (-2)\/(-1) and (-30)\/12*(-23)\/3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6\/5, -3\/2, 0.2, -2, 0.1581, -10\/61?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 8. Calculate the lowest common multiple of 10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3 + 3840*u**2 - 4915200*u - 5834. Factor g(c).\nAnswer: -3*(c - 1280)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = 5*r, 2 + 2 = -2*r - 5*n. Suppose -r*h - 24 = -36. Suppose 2*f = -3*w + 197, 0 = -w + 9*f - h*f + 43. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/30 - (-1190)\/(-714)) + 0 - (-14)\/2?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 71*c**3 + 160*c**3 - 88*c**3 + 3*c**2 - 2*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 9*d + 5. Let m be j(3). Solve -5*o = -25, y + 3*o + o - m = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27547937\/31 or -888643?\nAnswer: -888643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*w - 1210*w = -37*y - 371, 0 = 5*y + 3*w + 53 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9728406 = -4*u - 4056426, y + 4*u = 1417980. What is y rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 197, -1, 0.5, 1\/5, -8, 41?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.38674?\nAnswer: -0.38674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2, 5.\nAnswer: -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82758 or 0.1?\nAnswer: -82758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.12702425 rounded to three dps?\nAnswer: -1.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.4 - -13. Let m = s - 0.3. Let f = 0.705 + m. What is f rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*q + 52 - 15, -f + 2*q + 5 = 0. Suppose -2*z - 3*z = -10. Calculate the remainder when f is divided by 9\/(-12)*-4 + z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275065 is divided by 45809.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923653.\nAnswer: 923653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 27789837?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 4 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from objjjjnnjbjnuubjunb. Give prob of sequence uunb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40741 + -7?\nAnswer: 40732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0. Let s be 1\/6*-2*6. What is the third biggest value in m, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from pvqqv.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-8)\/(-18)*-6. Let o = z - -19. Are o and -0.03 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 2. Suppose -k = -a + s, 0 = 4*a + 4*k - 9*k - 31. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2 - 4*y - 5. Let j(n) = -6*n**2 - 5*n - 6. Let k = 18 + -12. Let f(p) = k*j(p) - 7*c(p). Factor f(z).\nAnswer: -(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -193*552\/(-20) + 1\/5. Let i = x - 239738\/45. Find the common denominator of -65\/8 and i.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from {i: 6, a: 4, p: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 30 = 3*y, 3*i + 49 = 3*y + 1. Let f = 14 + -27. Let n = f + y. Which is the third smallest value? (a) -2 (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/30*4*-765. Suppose b = -g + 3*g + 4*x, g - 5*x = 248. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21265 in -522, 0.3, -2\/11?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -71*z**5\/60 + z**4\/24 + 67*z**3\/6 + 113*z**2\/2 + 8. Let n(p) be the second derivative of i(p). Differentiate n(r) wrt r.\nAnswer: -142*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 100.32 and -56?\nAnswer: -5617.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/25, 3, 2\/35, 1\/760?\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -1. Let n(p) = p + 25. Suppose -c = 37 - 62. What is the remainder when c is divided by n(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/19)*q)\/(q*q**(2\/11)*q) assuming q is positive.\nAnswer: q**(-225\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**3 + 2*i + 21. Suppose -33 = 2*l - 15. Let p be o(l). What is p rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/2, 18.4, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 - 96190*d - 288579 = 0.\nAnswer: -3, 96193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451 + -448. Solve 0*u - x*u = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83.8 + -87.8. Let z = 1 + -1.5. What is the closest to 1\/2 in z, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 69 = 76. Calculate the remainder when 4\/(40\/450) - s is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l = 16 + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67382224?\nAnswer: 2, 7, 13, 46279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -19256744, -77026943, -173310614, -308107763, -481418396, -693242519, -943580138, -1232431259?\nAnswer: -1559795888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2670 + -2652. Solve j*k + 107 + 1 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11696 and 72?\nAnswer: 105264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8203586434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/95648*64)\/((-2)\/56).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o - 316. Calculate f(-32).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -25*w - 9. Let v be p(2). Let m = 4 + v. Let b = 63 + m. What is the remainder when 20 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1) - (24 + -20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + 2 + -1 + sqrt(1088) + -4)*-1)**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 4*i**2 - 3*i + 10. Let s be n(3). Let y(d) = -12*d - 11. Let z(c) = -8*c - 7. Give s*z(m) + 5*y(m).\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -7*f**6\/240 - 13*f**4\/12 + 8*f. Let o(m) be the third derivative of w(m). Let s(p) = p**2. Give s(o(d)).\nAnswer: 441*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.7 (b) 3\/5 (c) -0.5 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1174\/2601 - 2\/289. Let a be 2\/8 + (-45)\/(-108). Solve a - 2\/9*i**2 - p*i = 0 for i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0, 0.03, 5, 484?\nAnswer: 484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12627 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52285, 209043, 470309, 836083, 1306365, 1881155, 2560453?\nAnswer: 3344259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*h - 3*d + 3, -3*h - 15 = -5*d. Solve h = -4*f + 4, -4 - 1 = -2*t - 5*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/3, -2.3528, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**4 + 3*z - z**4 + 4*z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -564*h**2*l**3 + 5*h**2*l - l**2 - 12 wrt l?\nAnswer: -3384*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 8*x + 12 = 0. Which is the third smallest value? (a) 5 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -241, -252, -267?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g + 1. Let w be i(0). Let p = -12 + 18. Let l be 2*w*(-2)\/p. Are 2 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100170)\/53)\/(-90)*(-40)\/(-12).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112831 is divided by 155?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4790.9586 - 4789. Round g to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/7 + -22\/21. Let g = 3 - -1. Let r = -0.39 - 0.01. Which is the second biggest value? (a) r (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1818921, 1818671, 1818419, 1818165, 1817909, 1817651, 1817391?\nAnswer: 1817129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (3 - 0) + 7 + -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a - 31333 = -4*z, z - 4 = 0. Suppose -3*f + 17 = 2. Suppose 0 = -f*c - 19061 - a. What is c rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-81)\/15 - (-6)\/15. Sort 5, -3, t.\nAnswer: t, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i*i*((i\/i**(7\/4))\/i)\/i)**(-46)*(i\/(i**(-3\/8)*i)*((i*i*i\/(((i*i**(1\/2))\/i)\/i*i))\/i)\/i)**6 assuming i is positive.\nAnswer: i**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -293, -427, -543, -635, -697, -723?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -200 (b) 1 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/65 in -5, 4, -0.4, 0.07, -7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Solve j*t - 6*t + 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 + 6. Let d = -45\/2 + 409\/18. Let k be ((-8)\/30)\/(18\/(-15)). Which is the nearest to k? (a) d (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(68)) + sqrt(68) - sqrt(170)\/(-4*sqrt(90)))**2.\nAnswer: 338*sqrt(17) + 506273\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.78861 + 111.\nAnswer: 110.21139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 9:58 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 48706 + 28046 = 0. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 0. Let p = -1 - 1. Let t = 1 - 0. Which is the nearest to 0.1? (a) t (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7197 + -7196.6. What is the third smallest value in -13, j, 4, -5\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = 6*k. Factor 0*f**3 + k*f + 0 - 2\/9*f**4 + 2\/9*f**2.\nAnswer: -2*f**2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 13*s = 61 - 11. Sort s, -5, 408, -1.\nAnswer: -5, s, -1, 408","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.079 in 0.1, -0.3, -0.4, -0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882063?\nAnswer: 3, 7, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvhv when four letters picked without replacement from vvhphvhhhhhhv.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = 5*f + 141, -84 = 2*h + 2*f. Does 6 divide (h - (0 - -4))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 344?\nAnswer: 6536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -71, -144, -237, -344?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**2 - 60*s + 264 + 59 - 1947 = 0.\nAnswer: -14, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103768*y + 73 = -103773*y - 4*o, 4*o = -68 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(980))**2 + sqrt(80)\/sqrt(100) + 2.\nAnswer: 2*sqrt(5)\/5 + 8822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93484 is divided by 89028.\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g + 57. Calculate r(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.5 and -0.1?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -409 + 1143. What is the smallest common multiple of 12 and w?\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-12 - -2) + 4. Let p = i - -28. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1744*m**3 - 7284*m**2 + 7436*m. Let u(q) = q**3 + 3*q**2 - 2*q. Let f(t) = n(t) + 20*u(t). Factor f(c).\nAnswer: 4*c*(21*c - 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/534, -1\/5, 2\/5, -88, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6 + 25*q - 9*q + 3 + 60*q**5 wrt q.\nAnswer: 1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 7431385?\nAnswer: -7431385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 3\/4, 8, -9 in descending order.\nAnswer: 8, 3\/4, 0.02, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 5, l: 14}. What is prob of picking 1 h and 2 l?\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 130552 divided by 8\nAnswer: 16319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 7*w**5\/10 - 8*w**4\/5 - 9*w**3\/2 + 7*w**2 + 34*w\/5 - 12\/5 = 0.\nAnswer: -2, -1, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 22*l**2 - 25*l - 19. Suppose 7*d + 18 = -129. Let p be t(d). Let y = p + -31. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -30*l + 23*l + 26, 3*l - 14 = -5*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**2 + i**2 + 43 + 3*i**2 - 45 + 241*i**6 wrt i.\nAnswer: 28920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10890\/(-6534)*6\/(-1)*(-2)\/(-230).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -127223967 smaller than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -44, 4*y - y = -2*g + 15 + 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 12*h - 6. Let q be u(-4). Let l be (8 + -4 + -6)*(-25)\/q. What is the third smallest value in -0.2, 2, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 12*t + 15. Let u be g(11). Suppose -4*y + 5*s - u - 3 = 0, 2*y = 5*s - 11. Let m be (-12)\/(1\/y*-3). Solve 2*v + m - 2 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f - 5. Suppose -2*i = -4 - 6. Let h(q) = -q**2 + 7*q + 6. Give i*h(b) + 6*v(b).\nAnswer: -5*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = y + b - 20, -5*b + 72 = 3*y. Let u(f) = 4*f**2 - 2*f - 1. Calculate the remainder when y is divided by u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 3*f. Let u(a) = -28*a - 9. Let s be u(f). Let m = s + 442. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -88*t**3 + 4*t**2 - 5*t + 3. What is x(1)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 26692749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + 10. Let q be (1\/4 - 1\/w)\/(-2). Solve q = -3*a + 19 - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (100\/(-52) - 0) + 2 - (-77100)\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f**2 - 2*f)*((4*f - 2*f + 0*f)*(4*f - 2*f - 3*f) + (0 + 1 + 1)*(2*f**2 + 0*f + 0*f)).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-9))\/((-2)\/15). Let j(k) = -6*k + 39. Let n be j(2). Is n <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 + 26*k\/11.\nAnswer: -2*k*(k - 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -28*z + 312. Let i be m(13). What is the hundreds digit of 13\/i + ((-12819)\/4)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1113 - -1115. Suppose -8*w = -4*w + 4. Calculate the common denominator of w*(-3)\/(-42)*-60 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 7. Let s be o(5). Suppose -d + p = 3, 3*p - 4*p - s = 4*d. What is the units digit of 7\/(-3)*d\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4. Let w be r(-2). List the prime factors of 742\/12 + w\/72.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -45. Let v be n\/(21\/6) - -6. Suppose -3*f = -4*f. Solve k + t + 2*t = 12, -3*k + v*t - 29 = f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.026, -32, -38\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -55 and 25303744.\nAnswer: 25303689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 173?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/1390651 and -23\/969.\nAnswer: 79267107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 s when three letters picked without replacement from {t: 1, u: 1, z: 2, s: 10, f: 6}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68285286.\nAnswer: 2, 3, 3793627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7008843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-102) + 4*371\/187. Which is smaller: 8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*sqrt(153) + sqrt(17) - (3*sqrt(68)\/sqrt(4))**2)*-6 - 5*(sqrt(425)*-1)**2*-1).\nAnswer: 252*sqrt(17) + 9129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 10. Let r be h(14). Let v be r\/(-5) - 31\/(-5). Let i(y) = 2*y - y + v*y. Let q(u) = -2*u**2. Determine q(i(m)).\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 6*w - 2*w**3 + 295*w**2 + 4*w + 73*w**2 - 51*w**2 - w**2 to the form v*w**2 + u + g*w**3 + m*w + j*w**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let x = 13 + k. Solve 0 = -2*b + 7*b + x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 30. Let h = -52 + 263\/5. Which is the closest to h? (a) i (b) 4\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -84. What is the third derivative of 18*p**2 + 6*p - 21*p**2 - 18*p**g + p + 0*p wrt p?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/4, 3, -6, -21\/19?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500 and 170.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*b = -8*k + 397*b - 60, -3*k + 2*b = 23 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (64 + -37 + -67)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 0*r + r = 3, 0 = -5*d + 4*r + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139862 is divided by 21712.\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*g - 24344 = -320*g - 483*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -587?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 20*d + 47. What is n(-23)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47317\/2 - -23658. What is the nearest to k in 0.1, 2\/17, -59, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 - -354. Suppose 5*b - 430 = -5*l, -l - i = -4*l - b. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.56218 millilitres to litres.\nAnswer: 0.05256218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than 536140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 84. What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/25*-1)\/(9744\/(-580))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.914413413964 and 0.08.\nAnswer: 0.994413413964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 + 10*r - 87 as b + p*r and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:20 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*s = -5, 0*z + 4*s - 23 = -z. Let w be 8\/z*9\/4. Suppose 2*i - w*i = -52. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*c + c, -5*c = 3*p. Let z be (-10)\/(p - 4\/10). Suppose 0 = -5*r - z, -5 = 3*k - 0*r + r. Solve 0 = -5*i - 14 - 11, k = u + 3*i + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(108) + 1) - sqrt(108)) + (5 + sqrt(108) + -1 - sqrt(108)) - (0 + sqrt(108) + sqrt(108)*-2*-6))*6 + 0)**2.\nAnswer: -28080*sqrt(3) + 657972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 40. Let n be x(-11). Let r = n - -24. Is r\/20*3166*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5 + 3032*z**4 + 575616*z**3 + 1708696*z**2 + 1702652*z + 566544 = 0.\nAnswer: -407, -348, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 845, 1264, 1683?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 210\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**3 + 11*c**3 - 28457 + 14292 + 14165.\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(275))\/((sqrt(22) + sqrt(22) + (sqrt(550) - sqrt(22)) + sqrt(22))\/sqrt(11)).\nAnswer: sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*k*l + 13341*k - 2885*l + 126 wrt k.\nAnswer: -36*l + 13341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (27 - 27)) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -155, -187, -187, -149?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 8*i**2 + i**2 + 2*i**2 to the form t + m*i**3 + w*i + s*i**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -28. Let h = 49 - 20. Let l = h - v. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 6305*f**2 - 50725*f + 44415.\nAnswer: 5*(f - 7)*(f - 1)*(f + 1269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.36 and 1.3.\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240.9 + -471.87. Let l = -27.25 - y. Let k = l - 200. What is k rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z - 4. Let x = -1898 - -1894. Give b(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/4 (c) -0.02 (d) 1856 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292204.\nAnswer: 2, 17, 31, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33431977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*u**2 - a**2*u + 383385423*a*u**2 + 61633759*u - 1 wrt u.\nAnswer: -4*a**2 + 766770846*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 50980 divided by 10196\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3403743*b*f**3 + 28276*b*f - b + 5*f - 1 wrt f?\nAnswer: -20422458*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.16 * -0.4.\nAnswer: -1.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/((-2)\/66). Let i = c - -18. Let p(t) = t**3 + 4*t**2 - 3*t - 7. Let g be p(-4). Do g and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6 = 3*j, -2*z = -2*j - 4 - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Let j be (-50)\/(-18) + i\/(-9). Let b(m) be the second derivative of -m**4\/12 + 5*m**3\/6 - m. Determine b(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 735 - 381. Suppose -4*h - o + m - 26 = 0, -5*o - 103 = -h. Let l = h + -82. Solve l = -v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/(-100)*(-5)\/(-1382). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q**2 - 2 + 2)*(-3 + 1 + 3) + 5*q**2 - 3*q**2 + 2*q**2)*(5*q - 6*q - 6*q).\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, y: 9}. Give prob of picking 4 n.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*-3*4\/72?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2630599, 2630598, 2630597, 2630596, 2630595?\nAnswer: 2630594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - 3 = 3*c, 0 = 2*c + 3*b - 3. Suppose 0 = -7*a + 2*a + 10, c = q + 3*a - 12. What is the least common multiple of q and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*u**2 - 4)*(-16*u - 3 + 19*u - 2) to j*u**2 + l + p*u + o*u**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.9 + -8.53. Round x to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rro when three letters picked without replacement from rrmnomrnnoommr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 133*b + 70. Let k be s(0). Solve 50*a - 60*a - k = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) -4 (c) 0.1 (d) 2\/19 (e) 0.19 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-8) - (-330)\/(-80)) + -16. Let d be (-4)\/t - ((-54)\/5 - -2). Let w = d + -6. Solve 4 = -w*v + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.53542 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 0.74. Let v = y + -0.5. Which is the closest to 0? (a) -4 (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(51)\/sqrt(3) + sqrt(17) - sqrt(17)))*1)**2.\nAnswer: 6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.7 and -575.3.\nAnswer: 2128.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48, 123, 198, 273, 348, 423?\n\"Answer: 75*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1629 - -1930. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 6. Give u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 + 4*i - 24. Let p be t(-8). What is the greatest common divisor of 72 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q**5 + 332*q**4 - q**3 + q**5 + 11*q**2 - 12*q - 335*q**4 + 4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.36303 hours to microseconds.\nAnswer: 94906908000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 343*k + 1014. Determine s(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 98 = -o + 350, -3*o = -a - 1344. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 25*f**2 + 47*f + 68. Determine j(23).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2292 - 178 = 0. Suppose 0 = -2*l + 68 + h. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 + 128 = -x. What are the prime factors of x*1224\/32*-4?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4888 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxbbbxxxbbbxxbbbxxx. What is prob of picking 2 x and 1 b?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4547046 greater than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 32*a - 29 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -61?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let s be (2 - 0)*(-84)\/(-24) - 0. Suppose 0*u = 2*u - 4*y - 36, 3*u - 2*y = 34. Let t(o) = -s*o - u*o + 11*o - 23*o. Determine b(t(w)).\nAnswer: -54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (181 - 93 + 31*n - 81)*(2*n - 15 + 15) to t*n + c + f*n**2 and give f.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1373*o**3 - 653*o**2?\nAnswer: 8238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uowp when four letters picked without replacement from {o: 2, t: 1, u: 2, p: 4, w: 1}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425101 + -41?\nAnswer: -425142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13993\/2 + 69967\/10. Factor 0 + t*q**4 + 0*q**2 + 13\/5*q**3 + 0*q.\nAnswer: q**3*(q + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -530.\nAnswer: 21\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*q - 12*q - 286. Let h(j) = j**2 + 7*j + 8. Let o be h(-6). Let b = -2 - -6. Solve -v + o*g = -q, 4*g = b*v + v - 35 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-12) - (-14)\/24. Let b(y) = -y**2 + y. Let h be b(4). Let v be 7\/h + (-55)\/(-44). Is d >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3692150 and 14.\nAnswer: 3692150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:56 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -706 + -418. What is the tens digit of ((-171)\/(-36) - 5)*n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2483, 5017, 7551?\n\"Answer: 2534*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 426*g**2 - 2523*g + 5047. What is f(2)?\nAnswer: 1705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 3*l. Does 15 divide 20 + -5*l\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7128\/(-165))\/(-18))\/(((-32)\/(-50))\/4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 907, 3481, 7741, 13693, 21343, 30697, 41761, 54541?\n\"Answer: m**3 + 837*m**2 + 56*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 + 2*n + 1. Let f(h) = 2*h + 16 - 9 + 4*h**2 - 4 - 1. Give 2*f(a) - 3*l(a).\nAnswer: -4*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9620 and 585?\nAnswer: 86580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 4*d**3\/3 - 2*d**2 - d + 2. Let y be f(-5). Let t = y - 81. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.81721 and -389.\nAnswer: -385.18279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 7.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 - 2366*o\/11 - 431100\/11.\nAnswer: -2*(o + 225)*(o + 958)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1, -0.4, 0.06, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 28*v - 50. Find the third derivative of 2*r**3 + v*r**3 - 5 - 4*r**3 + 4 - 2*r**2 wrt r.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = 5*o - 17, 10 = i + 2*o. Suppose -i*b = -3*b + 541. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 80 + 40. Let y(l) = 8*l**3 - 8*l**2 - 8. Let m(b) = b**3 + b**2 + 1. Determine q*m(c) + y(c).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211222122 - -20010?\nAnswer: 212012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*n. Suppose 0 = 2*i - n*x + 2, 4*x - 4 = -i - 0*i. Suppose 2*j - 5 = s, -j = -s - 0 - 1. Solve 3*v + s = -i*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 276744.664?\nAnswer: -110697.8656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*q + 650*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 370*b + 0 - 21*b.\nAnswer: -391*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 556 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -16 - (-39 - -80)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -0.2. Let y = -884 - -820.7. Let q = 63 + y. What is the smallest value in q, r, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -2, -4, -24, -68?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + c + 2*c - 26 = 0, 0 = 3*s - c - 10. Let m be (9\/(-6))\/((-2)\/s). Solve -6*h + m*h - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 34*a + 3. Let b be f(-14). Suppose 57 = -4*o - 2*v + b, 2*v + 152 = 3*o. Suppose 3*q = -0*q + o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1212\/(-6060))\/(2\/460)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -8. Let f(p) = -p**2 - 4*p + 3. Let k be f(-6). What are the prime factors of s*(60\/k)\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8053 times -82.9\nAnswer: 667593.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 = 5*w, 2*m = -w + m - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -14*a + 9184 + 29326, 5*q = -4*a + 11014. Calculate the remainder when a is divided by 276.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/21, -3, 1, 5, -1\/226 in decreasing order.\nAnswer: 5, 1, 4\/21, -1\/226, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**3 + 7*q**2 + 7*q + 6. Let l(o) = o**3 + o**2 + o + 1. Let n(c) = -b(c) + 6*l(c). Let r(m) = m**3 + m**2 + m. Calculate n(i) + r(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-1 - -8) + -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - g**3 - 9*g**4 + 2*g**3 - 2*g**2 + 10*g**4 + 3*g to the form y*g**4 + i*g + u*g**3 + d + x*g**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - -6.91. Let d = 11 - z. Which is the smallest value? (a) d (b) -0.8 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52961 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 860.8 + -858.8. Which is the closest to 0? (a) -0.1 (b) 14 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 d when three letters picked without replacement from {x: 1, d: 3, m: 1, u: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2340 and -7\/214630.\nAnswer: 3863340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1578 - -4889. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 968 and 968 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*h = 7555, -h + 1357 = -2*a + 5122. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 29 - 31 = 31*l. Let j(b) = b**3 + b. Let p(s) = 4*s**3 + 3*s + 2. Calculate l*j(f) + p(f).\nAnswer: 2*f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 r when three letters picked without replacement from {h: 1, y: 2, n: 1, g: 1, o: 1, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*w + 208*w - 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 484433814 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 417 = -29*s - 121 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -975865*j**4 - 774366.\nAnswer: -3903460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by -488?\nAnswer: -69\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 36 = 16062*z - 16060*z, z + 3*b = -26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)*x\/(x\/((x*x**1)\/x))*x)\/(x**(-1\/4))**(-4) assuming x is positive.\nAnswer: x**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/(18\/81). Suppose -i + u + 6 = 0, -i - q = -0*u + 2*u. Solve 2*y - g - 1 = -y, -i*g = 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023332559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:58 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i + 3200 + 832 = -40*i for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4) + 1)*0. Solve i = -4*a - 2*v + 16, 0 = 5*a - 0*v + 2*v - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 586*n - 24786. Determine w(-40).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**2 + g. Let n be m(-1). Suppose 4*x = -4*h + 2992, 3*h = 3*x - 126 + 2364. Calculate the highest common factor of n and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose -3*n = 2*y - 81, -w*n = 2*n + 3*y - 136. Differentiate -28 - 113*l + 113*l - n*l**2 with respect to l.\nAnswer: -58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -3. Let g be s\/6 - 5\/(-15). What is the units digit of -14*((-1)\/2 - g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**3 - 11*g**2 - 12*g - 8. Let z(c) = 2*c**3 + 4*c**2 + 4*c + 3. Calculate 4*d(t) + 11*z(t).\nAnswer: -2*t**3 - 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 7*x**2 - 3*x + 12. What is q(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 11:13 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.551 + -0.051. Which is the second smallest value? (a) -0.5 (b) h (c) -2 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*c + 66*c + 58*c + 2284 + 118*c.\nAnswer: 359*c + 2284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -132816.2 rounded to the nearest 1000?\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 15. Give d(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2043707 (base 11) to base 4.\nAnswer: -31300200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2. Let i(m) = 219*m + 8. Let q(x) = -17*x - 2. Let y(c) = i(c) + 6*q(c). What is j(y(k))?\nAnswer: 54756*k**2 - 3744*k + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -z - 0 - 1, 0 = 4*j + z + 2. Let v be 2 + (3 + j - 2). Find the second derivative of 2*l - 3*l**v + 1 - 1 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.3. Let h = -3.99 + -0.01. Sort v, h, 0 in increasing order.\nAnswer: h, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*q - 4. Suppose 2*w + 2*i - 4*i = 12, -q*w + 32 = 2*i. What is the units digit of (3 - 4)\/((-1)\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1175, -2347, -3517, -4685, -5851, -7015, -8177?\n\"Answer: j**2 - 1175*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:44 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Suppose -12 = 2*y + 2*h - 3*h, 0 = 3*y - h + 17. Sort v, 3, y in descending order.\nAnswer: v, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85987 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let b = -33 - -46. Let t(k) be the second derivative of -5*k - 13 - k**3 + b. Determine t(f(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = 0. Suppose -6*o = -a - 12. Solve -4*v = -z - 1 + 3, -o = -z + 3*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -11388859?\nAnswer: -11388857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 264 = 18*y. Let t(a) = 35*a**3 - 5*a**2 - 2*a + 8. Let u be t(2). What is the greatest common divisor of u and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/14 - 8*z**3\/21 - 5*z**2\/7 - 4*z\/7 + 90. Solve j(w) = 0 for w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12)*(1431\/(-675) - -2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 12575386\nAnswer: -5\/12575386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, 14\/197, 2\/9?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 20 = 6*y, -2*y - 18 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 547211.38949838 + -547261.8895. Let m = 50.5 + y. Round m to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 3.2. Let y = 371 - 383. What is the biggest value in y, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(54\/(-2)))\/((-2)\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98046870?\nAnswer: 2, 3, 5, 3268229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 12*o = -62282. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12*u - 87. Give p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 + 122. Let d = n - 43. Let m = -4 - -6. Sort m, 8, d in descending order.\nAnswer: 8, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, 4\/7, 2\/7, -129\/8 in decreasing order.\nAnswer: 3, 4\/7, 0.3, 2\/7, -129\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 31 + 8*z)*(0*z - 2*z + z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 19*b = 424. Suppose 5*k + 193 = 4*m, 5*m + b = -2*k + 9. Which is smaller: -40 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(9\/12). Let t be (75 - -4)\/(p\/4). Suppose -z = 2*j - 38, -5*z - 3*j = -j - t. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.98 - 0.02. Let h = -140.539 + 0.939. Let o = 140 + h. What is the biggest value in o, 2, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*b*f*q + 2*b*f - b*q**3 + 7*b*q**2 + 3*f*q**2 - 2*f*q - 3*q**5 wrt q.\nAnswer: -6*b*q + 14*b + 6*f - 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9866264467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -4021?\nAnswer: -4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.24 and -0.4067.\nAnswer: -0.1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13433 is divided by 119?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 13. Let v be c(-11). Let u(l) = -l**3 + 3*l**2 - 2*l + 2. Let z be u(v). What is the greatest common factor of 14 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**3 - 13316*k**2 + 13328*k + 26640 = 0.\nAnswer: -3330, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11158681 divided by 3043\nAnswer: 3667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7312*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/5492837 and -61\/955276.\nAnswer: 21971348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58139, 58144, 58149?\nAnswer: 58154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d - 8. Let r be x(4). Suppose 3*g - r = -g. Suppose g*n - 1587 - 2585 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-405)\/36*(-103)\/(44290\/2408)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 5:31 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 28*m**3 - 31140*m**2 + 35556*m - 4444 = 0?\nAnswer: 1\/7, 1, 1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158.52 + -28.62. Let z = -139 + s. Let m = z - -28.3. What is m rounded to zero decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 0*k + 2*k + 12*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91892 - 91876.99712. Let l = g - 8.00326. Let z = -7 + l. What is z rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162134290 by 10.\nAnswer: -16213429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 8*h + 55 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by -189297.\nAnswer: 14\/21033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 2*j**4 + j**5)*(-1 - 1 - 2) - 2*j + j**5 + 2*j.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5962 less than or equal to -5964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3695 + -3700. Suppose -439*x + 443*x = 16. Put -22, x, -2, z in descending order.\nAnswer: x, -2, z, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*q + 4*r + 333, -2*r = 4*q - 582. What is the remainder when 2068 is divided by q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -297348 by 74337.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 + 648\/45. Let o(x) = -8 + r - x - 10. Let y be o(-7). Solve 5*b - 3*t = -4*t - 22, -18 = 3*b + y*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 1. Let w(z) = 4415 + 15*z**2 + 12*z**2 - 4407 - 31*z**2. Calculate h(w(q)).\nAnswer: -8*q**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430 and 4?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*h**3 + 68*h**3 + 90*h**3 - 205*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (142\/(-10) + 1)\/(72\/10980*244)?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) -1\/75 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 20\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12058180*k**3*x**2 + 31*k**2*x + 2*k**2 + 3*k*x**2 + 14*x**2 - 86*x wrt k?\nAnswer: -72349080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/1170*-40)\/((-8)\/(-210))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -44.000085. Round g to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(208)*5 + -5 - (3 + -3*5*sqrt(208))) + -1.\nAnswer: -9 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/11 (b) -0.2 (c) 3 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-4)*h)*h*h**1)\/((h**2*h)\/h*h**(-5)))\/(h\/(h\/(h*h\/(h*h**(5\/6))))*h\/(h\/(h\/h**(-1\/13)))*h*(h**1)**49) assuming h is positive.\nAnswer: h**(-3295\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6407*l*v**2 + 2*l*w**2 - v**2*w + 3036*w**2 wrt l?\nAnswer: 6407*v**2 + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 20*l**2 + 18*l + 26. Let n be w(19). Which is the nearest to -2\/7? (a) 3 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13616? (a) -1\/11 (b) 40 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*i + 84, 0 = -2*i + 5*s + 53 + 15. Let b be i\/11 + 8\/(-44). Suppose 0 = -0*m + m - b. Let z(k) = -2*k**3 + 3*k**2 - 2*k + 3. Determine z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/9)*s**9 assuming s is positive.\nAnswer: s**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 33*v + 796. Let g be s(-48). Suppose 2*w + 32 = -4*h, -4*w = -2*w + h + 26. Let j = w + 50. Calculate the greatest common factor of j and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**4\/6 + 3*s**2. What is the units digit of j(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 7*i + 3*z - 124801, 5*i - 124803 = -4*z. Suppose -f - i = -25*s + 21*s, -s = 2*f - 6251. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6462.667 decades in centuries?\nAnswer: 646.2667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/63*3\/7*-1. Which is the second biggest value? (a) 14\/13 (b) -1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101110001101110000 + 1?\nAnswer: -1011101110001101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7715419 is divided by 1928844.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59027422375\/2036 + -28991882. Let l be (-1 + 508\/509)\/(-1). Let w = l + x. Calculate the common denominator of -19\/3 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6*z + 1 + 4)*(3 - 5 - 7) in the form f*z + t and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.26. Let h = 368.2 + -368. What is the second biggest value in n, -0.4, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 592382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -259688, -259749, -259810, -259871?\n\"Answer: -61*w - 259627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 649 - 453. Let n be ((-10)\/8)\/(-2 - (-385)\/i). Calculate the greatest common divisor of n and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39816518.\nAnswer: 2, 7, 541, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**3 - 4*m**2 - 2*m + 4. Let c be y(3). Let t(v) = -49*v - 529. Let k be t(-11). What is the highest common factor of k and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -570107 (base 8) to base 7.\nAnswer: -1431316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (9 - (-1 - -3)) - 9) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953.494 millimeters in meters?\nAnswer: 3.953494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) -2\/7 (c) 4 (d) 341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4139 divided by -1.\nAnswer: -4139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1319 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1*(sqrt(704) + -2))*-3*-4)**2.\nAnswer: -16128*sqrt(11) + 108432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82330 is divided by 366.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5592.1563 rounded to the nearest integer?\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 2, 1, -10, -3 in ascending order.\nAnswer: -34, -10, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*h + 41*h - 30. Let k(w) = -29*w. Let f be k(-6). Suppose -3*t + h*z = -f, -24 - 34 = -t + 5*z. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.41 + 1.31. Let w = x + 4.1. Let n = 0 + 0. What is the closest to n in 1, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 67c4?\nAnswer: 67c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 3*n + 9. Let z(k) = 7*k**2 + 7*k + 18. Let m(r) = -9*v(r) + 4*z(r). Calculate the lowest common multiple of 11 and m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akkakkakkkkkkaak. Give prob of sequence aaka.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwi when three letters picked without replacement from ldlwwwdiiittdtll?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 0*t = -33. Solve 0*j - 2*j + 10 = 0, b = j - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3836 + 1232. Let j = 23440\/27 + f. Let a = -944\/189 - j. Find the common denominator of a and -27\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -34 - 1. Suppose 0 = m*b - 8*b + 2. Factor 1\/3*u**b + 1\/3*u + 0.\nAnswer: u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*q - 97 = 0, -4*d = -d + 3*q - 246. Let g(z) = -1 + 14*z + 13*z + 3 - 29*z. Calculate the remainder when d is divided by g(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5426591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/44*(-825 + 837)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1. Let w(d) = -22*d + 6. Calculate 5*p(f) - w(f).\nAnswer: 22*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 3*d**2\/2 + 2*d - 16. Let s(u) = -3*u - 2. Give -4*i(q) - 5*s(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((-100)\/24)*-5. Let w(s) be the third derivative of 2*s**2 - 1\/12*s**5 + 0 + 0*s**4 + 1\/120*s**z + 0*s + 5\/6*s**3. Calculate w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 202987032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522 = -61*p + 174 + 501 + 267 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59525269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*l - 7. Let p = -15 + l. Factor -4 + 4*k**5 + 8*k**p + 2*k**4 - 5*k - 8*k**2 + 13*k**4 - 7*k - 3*k**4.\nAnswer: 4*(k - 1)*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f + 3*f. Suppose 5*j = 2*c + 10, 4*j + c - 16 = f. Suppose 14 = j*h - 2. Solve h*w - 20 = -g, 5*g + 2*w - 8 = 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-220)\/(-198))\/((-2)\/(-9)). Suppose -58605 = -z*u - 0*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14290 + 14297. Put 0, 31, 1, w, 3 in descending order.\nAnswer: 31, w, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one halves of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-4378.\nAnswer: -3502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -73 in decreasing order.\nAnswer: 4, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -549406.25 to the nearest one thousand.\nAnswer: -549000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1101001111111101?\nAnswer: -1101001111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 - 191. Suppose -c*h + 325 = -269. Calculate the least common multiple of h and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -18*z - 5. What is x(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = g + 5, m - 28 = g - 27 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 26. Suppose 51 = -4*h - 4*o - 129, -3*o + 100 = -2*h. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025035984 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b + 34*b - 4*b = -858 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59066812.\nAnswer: 2, 7, 521, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*g + 102*g - 191*g = -3140 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 24*c + 64. Calculate g(-8).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80.94 - -81. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18105975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**2 + 9*z**3 - 8*z**3 - 3*z**3 in the form c*z**2 + v*z**3 + t + p*z and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 + 14*c**2 - 9*c**2.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 3*x + 4*x + (-6*x + 19*x + 20*x)*(0 + 3 - 2) + (x + 2*x - 5*x)*(2 - 3 - 1) - x + 0 + 0 - 4 + 4 + x + 2 + 3*x - 2.\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, m: 2}. What is prob of sequence maa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9624.829 hours?\nAnswer: 577489.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715277 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2281 + 0.0281. Which is smaller: y or -91\/8?\nAnswer: -91\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 + z. Let v be s(0). Suppose -18*x - 70 + 322 = v. Calculate the remainder when 26 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161708951?\nAnswer: 161708951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:26 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2)\/(-1 + -2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17063\/1014 - -1\/169. Calculate the common denominator of 49\/8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffkiffkkyifyi. Give prob of picking 1 y and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 7, b: 5, l: 5}. What is prob of sequence kk?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 - 84 = 20*l. Suppose -101 + 29 = -2*f. Calculate the highest common factor of l and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2377 + 78041?\nAnswer: 75553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14 = t, -3*t - 3 = 4*u - 25. Let h = 0 + u. Suppose 0*n = n - h. Solve -q - 15 = -n*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(10\/15)*499. Let i be (0 - 0) + g - (2 - -1). What is i rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 49, -4, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from kknnkdk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.04, 4, 0, 1594, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.4. Let u = 19.3108 + -17.3108. What is the nearest to w in -3\/7, -0.2, -2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from qigisqgmisiq.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 11, s: 1, h: 2}. What is prob of picking 1 h and 1 w?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*k. Suppose -13 = -4*h - 3*o + 12, -4*h + 10 = -2*o. Suppose -2*w - h*j - 20 = -34, 5 = 5*j. Solve -l + 4 = 2*i + 5, k = w*l - 2*i + 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v = 20. Find the first derivative of -2 + 5*i - v*i + 0*i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 342 + -375.4. Let h = 8.6 - i. Let z = h - 41. Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h - 35*h - 36*h - 34*h.\nAnswer: -127*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-5)\/j)\/(j*j*j**(1\/4)\/j*j*j))\/(j*j**2)**11)**(2\/7) assuming j is positive.\nAnswer: j**(-169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 8*t**5 - 116*t**4 + 332*t**3 - 260*t**2 - 52*t + 88 = 0.\nAnswer: -1\/2, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyuyuyuyyuuyyuyy. Give prob of picking 1 y and 3 u.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.362606 rounded to three decimal places?\nAnswer: 0.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2453 - 2524.38. Let u = d + 72. Let i = u - 0.22. What is the smallest value in 1, i, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -54, -73, -90, -105, -118?\n\"Answer: q**2 - 24*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}