diff --git "a/data/dm_maths/full_data/1492_11255.jsonl" "b/data/dm_maths/full_data/1492_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1492_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 62898616 plus -0.3?\nAnswer: 62898615.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(24\/(-2)) + 872\/48. Suppose 9*l - 3*l = -g. Is 3958\/(6*l\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46485.7381 to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -10. Let d = v + -7.7. Let q = d + 0.7. Is q less than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-214\nAnswer: -17.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/124)\/((8\/64)\/(1\/3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -170 * 4.59\nAnswer: -780.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u + 11475 = -22383. Suppose -c - 5*z + 4475 = 4*c, -u = -c - 3*z. Is 28 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1341384991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.997 + -9. Let x = h - 47.997. Let b = 41 + x. What is the second smallest value in -0.1, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 9*o**2 + 10*o + 12. Let k be i(-8). Let v = 54.4 - 50. Let z = v - 9.4. Which is the second biggest value? (a) 3 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1693757279 to 4 dps.\nAnswer: 0.1694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (47 - (16 - 19)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anksknknaksskkkskkks. Give prob of picking 1 s and 2 k.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*(-1)\/((-33)\/(-15))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43392 by -6.\nAnswer: -7232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 17. Let v be d(-12). Solve v*p = 5*b + 25, -4*b - 9 = -2*p + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -83, -42, 17, 100, 213, 362, 553?\n\"Answer: k**3 + 3*k**2 + 25*k - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(n - n + n**2)*(-4*n**2 + n**2 - 4*n**2).\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -372.6055\nAnswer: 745.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 268898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 700 - 652 = 0. Let a(g) = -6 - 11 - 3 + t + 2*g. What is a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9247, 9, 1121 in decreasing order.\nAnswer: 9247, 1121, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**5 - 3*i**2. Let g(w) = -5*w**5 - 2*w**2. Let m(c) = -4*g(c) + 3*v(c). What is the third derivative of m(s) wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10974 + -5217. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + k + 5*k**2 - 1 + 7 - k**3 to m*k**3 + o + r*k**2 + n*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2645*k + 174562. Determine f(-66).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*n + 107. Suppose x = 4*h - n, 7*x - 3*x - 2*h = 18. Suppose 27 + 33 = 5*d. What is the remainder when d is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4340*j - 58*j**2 + 207*j**2 + 4342*j.\nAnswer: 149*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -0.0158, -2, 49?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 322630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 52 - 93 + 27)*(1 - 2 + 0) + (10*s + 3*s - s)*(-2 + 0 + 1)*(2 - 4 - 2)*(-1 - 1 + 3) to m + x*s and give x.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 194 - (2 + 0 + 1). Let b = -88 + c. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - -1100010?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/11)*w)\/w**1*(w**(-2\/9)\/w)**(-43))\/(w**(-9\/5)\/w**(-6\/5))**(-1\/8) assuming w is positive.\nAnswer: w**(207463\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1525 and 179350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Suppose -2*k = -m - 6. Suppose 0 = -4*i + 4*x + 4, i - 10 = k*i + x. Let d(l) = -l**2 - 2*l + 1. Give d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -23. Calculate the remainder when 88 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 65405890 divided by -32702945?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27550 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 + 2*r. Let t(d) = -26*d**3 - 7*d**2 - 11*d - 7. Let g(z) = 6*m(z) + t(z). Determine g(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3079505.\nAnswer: 5, 11, 13, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 0.5 (b) 0.3 (c) 0.4 (d) -2\/27 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9a677 (base 14) to base 5\nAnswer: 43440330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 15*c**2 + 902*c - 16510. Calculate v(22).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 37. Let q be (0 + -1)*-2*22\/4. Let u be q\/2*(-4)\/(-5 - -3). Let l be j(u). Solve 0 = h - f + 2, -h + l*f - 18 + 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -35*s + 1460. Let a be h(39). Calculate the highest common divisor of a and 7220.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112 + 111.4. Which is the closest to 0.1? (a) 5 (b) f (c) 2 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1852*i**3 + 5*i + 7. Let g(u) = 2*u**3 - 6*u**2 - 2*u + 4. Let n be g(3). Is b(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4 - 11739*g**3 + 664332*g**2 - 9752940*g + 42865200 = 0.\nAnswer: -3969, 10, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 635338\/85 + -126952\/17. Suppose 46\/5*k**4 - 42\/5*k**2 + c*k - 4\/5 - 118\/5*k**3 + 84\/5*k**5 = 0. What is k?\nAnswer: -1, 1\/6, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*n**3 + 10*n**3 - 10*n**3 + 76*n**3 + 125*n**3.\nAnswer: 335*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234212 (base 11) in base 7?\nAnswer: 24134203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-465)\/310 - ((-10)\/12)\/(4\/(-84)). Sort -2, r, 4, -3.\nAnswer: r, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + 3*d**2 + 6*d + 4. Give h(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110 or 1097?\nAnswer: 1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12964 at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 - 10*s**4 - 13*s**3 + 32*s**2 + 68*s + 32 = 0. Calculate s.\nAnswer: -8, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88422*w**4 + 68*w**2 + 268492*w - 146 wrt w?\nAnswer: -1061064*w**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 36 = n. Let d = 20 - n. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.97 + -0.93. Do 1\/6 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t = 50*t + 912. Let z = t - -786\/5. Let l = -21850\/9 - -2431. Calculate the common denominator of l and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from kdmbu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273137304253.149991 - 273137420754. Let s = i - -116501. Let v = s - 0.15. Round v to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -14*v + 24*v. Which is the smallest value? (a) -0.5 (b) 0.5 (c) 2\/23 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2285352806, 2285352807, 2285352808?\nAnswer: 2285352809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/77506074?\nAnswer: -1\/77506074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 36*n - 1 = -38*n, -5*y + 3*n - 8 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 1, -0.05, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 + 7*h**2 - 4*h - 6. Let y(l) = 4*l**3 - 8*l**2 + 4*l + 7. Let x(u) = -3*r(u) - 2*y(u). Let b be x(4). Solve -c = 3*c + b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -34 - -33 - 2*(-33)\/102. Which is the second smallest value? (a) -5 (b) 6\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by -24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f**3 - 14*f**3 - f**3 - 135*f to the form a*f**3 + l*f + z + v*f**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let p = -741 - -741.1. What is the closest to 2 in h, 1, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2))\/(1\/3). Solve -n + 0*n = -f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344542209 to the power of 1\/2, to the nearest integer?\nAnswer: 18562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-204)\/(-39) - -4 - (-333)\/(-37))*2\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g**4 + 24*g**4 + 3*g**4 - 17*g**4 - g**4 + 4*g**3 - 4*g**3 + (0*g**2 + 4*g**2 - 3*g**2)*(10*g**2 - 9*g**2 + 2*g**2).\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 4 (c) 2\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 3*(1 - 0). Let g = t - 10. Let s(c) = 7*c**2 - 3*c + 7. Let q(u) = -8*u**2 + 4*u - 8. Calculate g*q(b) - 6*s(b).\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2949*z**2 + 2944*z**2 + 13*z - 12 - 5892*z**2. Determine g(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15628 - -15628. Let f = 3 - 6. What is the closest to -0.4 in -0.5, f, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 1320?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90526293 and 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -386 - 0?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15184 + -10085. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 825 + -830. Let w = 1 - 0.9. Which is the nearest to w? (a) 0 (b) z (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j - j + (2 + 2*j - 2)*(0 - 1 + 3))*(-5*j**2 + j**2 + 0*j**2).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(-724 + 107*j + 724) + j + j - j in the form u*j + h and give u.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9659.\nAnswer: 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 30\/7*m + 0 - 3*m**2 + 3\/7*m**3 = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303477926 to the power of 1\/3, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 1690*n**4 - 1686*n**4 - 3 + 3379*n**4 - n + n**2 + 0*n**3 to the form b*n**3 + s*n**4 + t + r*n + h*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-42)*4 + 78\/21. Calculate the highest common factor of 196 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17454, -17409, -17334, -17229, -17094?\nAnswer: -16929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(10\/(-14)))\/(11\/55). Suppose 9 = -a*k - 12. Sort -2, 2, 3, k in descending order.\nAnswer: 3, 2, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41448 divided by -6.\nAnswer: 6908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568247 = -14*i - 2*i - 70327. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000452712 rounded to 7 dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.12 (c) 3 (d) 11.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -170*t**4 - 2*t - 167.\nAnswer: -680*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, w: 2}. What is prob of picking 2 i?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3919 - 3917. Solve -3 = 3*p - 2*h, -26*p = -24*p - t*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -637 + -2?\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*s**3 - 11*s**3 - 35*s**2 - 41*s**3 + 4*s**2 - 4*s**2 + 3*s**3 + (2 - 2 - 2*s**2)*(4*s - s - s) + 3*s + 3*s**3 - 3*s.\nAnswer: s**3 - 35*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 + -134.4. Let b be 13 + -12 - ((-4 - -1) + 0). Put -2\/23, b, q, -1 in increasing order.\nAnswer: -1, q, -2\/23, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 431 + -456 + -1 + -47?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85633760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.4 (b) -0.5 (c) -3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -6\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 3*u = -6. Let r(x) = -x - 2. Let v be r(-5). Solve 0 = 3*n, c = v*n - u - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 17*l + 61. Does 34 divide r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6207444 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-8)\/(-6)*(-666)\/592\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -444054 + -22?\nAnswer: -444106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374 + 399. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-92)\/6*(7 + -10). Let g = -32 + l. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(6171\/34) - 13\/(-11). Which is the smallest value? (a) -3\/2 (b) f (c) 5\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1533 or -13.17?\nAnswer: -1533","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4*i = 27, 6*i = 5*p + 665 - 658 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*h - 284*h = 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 + -0.24999955. Round k to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1887, -4603, -7321, -10041?\n\"Answer: -v**2 - 2713*v + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/8)\/(125\/(-100)*(-36)\/550).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-15) - ((-66)\/45)\/11. Let g = -4.4 + 4. Let p = -3\/59 - 103\/295. Which is the closest to p? (a) 2 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(1*sqrt(13) + sqrt(13)).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1202\/3 and -401 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000116949237 to seven dps.\nAnswer: -0.0001169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22\/17 + -37\/68. Let r be (-21)\/(-60) + 2\/5. Factor -r*f + w + 3\/4*f**3 - 3\/4*f**2.\nAnswer: 3*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10801 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 8*j. Let d(g) = -17*g**2 + 48*g - 41. Calculate 6*a(t) - d(t).\nAnswer: 11*t**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1787720 divided by -239?\nAnswer: 7480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52073864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + g)*(11*g**2 - 6*g**2 + 3*g - 2*g).\nAnswer: -5*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/749 + 101\/2247. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.0636766969 - -0.01.\nAnswer: 7.0736766969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034985 is divided by 206927.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 15. Calculate u(16).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-17112)\/(-816) + -21)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:52 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 761545.2t in nanograms?\nAnswer: 761545200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - 0) - (-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 1 + (78 + -86 - (5 - (8 + 12)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-486)\/45 - -10)*5. Let q(s) = -3*s**2 + 3. Let f(z) be the second derivative of -z**4\/4 + z**2 - 5*z. Determine m*f(x) + 3*q(x).\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/120 - s**5\/15 + s**4\/6 + s**3\/6 + s**2. Suppose -9*t + 15 = -12. Give u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4748.\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -527 less than -521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2967 + -1618. Let g = u + -950. What is the greatest common divisor of g and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81722?\nAnswer: 2, 29, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10572, 22496, 34420, 46344, 58268?\n\"Answer: 11924*t - 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h - 5. Let g(b) = b**2 + b + 2*b - 3*b + 2*b. Let r be g(-2). Determine p(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6865, -13711, -20855, -28291, -36013, -44015, -52291, -60835?\nAnswer: -69641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0) + 7 + -2. Suppose 3*d - 14 = -2*s - d, 5*d = -2*s + 17. Let l be s + (-2 + 2 - -2). Put l, -3, j in ascending order.\nAnswer: -3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 42*i**2 - 6969*i + 447. Determine f(-65).\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + r + 144*r**2 - 5*r**4 + r - 147*r**2 in the form w + g*r**4 + i*r + d*r**2 + m*r**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1548*s**2 + 10831*s + 55. Calculate n(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 1362 - 1355. Solve -v*m + 4*m + 2*a + 12 = 0, -5*a - 4 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 672824119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 118*h - 9062. What is q(78)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3356 and 12.\nAnswer: 10068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12306 - 12307 + 4*i - 5*i. Let b be d(-3). Solve -7*m + b*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466824.91113 - 0.6.\nAnswer: 466824.31113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(49)\/sqrt(7)*3 - (sqrt(49)\/(sqrt(7) - (1*sqrt(7) - sqrt(7))) + -5)**2.\nAnswer: -32 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -19 - 19 - -38 - (2 + -5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1925\/50*16\/(-176).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 5. Let c(r) = r + 1. Give -3*c(b) - w(b).\nAnswer: -4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0*w - w**3 - 1 + w - 1 + 4*w**2. Let f be (-98)\/(-14) - (-1 + 3). Suppose -l + 3 = 4*v, l - f = -5*v - 2. What is c(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -4*x, -9 = -x + 5*n + 1. Suppose x = 3*z - 16 - 8. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18797 or 131574\/7?\nAnswer: 18797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501109887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/7586202 and 5\/22?\nAnswer: 83448222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/25, -1\/5, -2\/457?\nAnswer: -2\/457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-30))\/((-2)\/5). Suppose -3*c + 5*j - 2 - 2 = 0, 4*j = 3*c + b. Solve 4*z + 0*z + 8 = -c*a, 5*a = -5*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 2*o - 1. Let l = -12 - -22. Let g be l*(8\/5 - 2). Let k(f) = -f**2 - 5*f - 2. Let p be k(g). Determine t(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 15*i - 1980. Let p be (-6)\/(-15)*i\/24. Solve 0*l**3 + 0*l**2 + 0 + p*l**4 - 3\/2*l**5 + 0*l = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/80*-12)\/((42\/4)\/(12 - 15)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/3)\/v))**(-37\/5) assuming v is positive.\nAnswer: v**(-296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/8)\/((-1)\/(-28)). Let t = 3 - k. Suppose 3*l - t = -2. Solve l*p + 15 = -a, 2*p + 0*p = -a - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/16*-2*(0 + 6). Which is smaller: k or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 5*u, 5*h + 34*u - 36*u + 28 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/(60\/5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*c**3 - 17*c**2 - 3*c**4 - 2*c**4 + c**2 - 2*c**2 + 10*c**2 as y*c**2 + q*c**3 + f*c + o + x*c**4 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13 = -3. Suppose m*v - 12 = -12. Solve -k + 3*r - 11 = 0, v*r - 4*r + 21 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:47 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 63?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.4? (a) 0.3 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*v - 2*v - 6, 2*v - 6 = 0. Let n(t) = 3*t**2 - t + 4. Let f be n(u). Suppose -2*d + 6 = -f. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -39*y + 9, -13233*d + 55 = 17*y - 13239*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200430803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-5 + -1 + -3 + (-16 - -2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 101411?\nAnswer: -101441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((3 - 3) + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139 is divided by 686.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 45432.\nAnswer: 499752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 825?\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3593634 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1465998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1113, -1\/6, 3.13448?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -554032.5235 rounded to the nearest ten thousand?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-8 + 3 + (5 - 1))) + (145 - 103)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(1944))\/((sqrt(12) - sqrt(24)\/(sqrt(2) + sqrt(2) + sqrt(2) + sqrt(12)\/sqrt(6))) + sqrt(12)).\nAnswer: -36*sqrt(2)\/7 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 120 - 221 + 116. What is the nearest to 2\/3 in 1, -34, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/280469 and -41\/35.\nAnswer: 1402345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7936?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -5*y - 15, -102*y + 103*y - 4*w = 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -q + 11, 5*q = r - 28 - 13. Let f be 3 + (-1)\/(2\/(-4)). Suppose a - f*d = -4*a + 10, -r = -2*a - d. Calculate the highest common factor of a and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**4 + 2*g**3 - 1613*g**2 + 2498*g + 8 wrt g.\nAnswer: 60*g**2 + 12*g - 3226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2. Let g(q) = q**3 - 3*q. Let y(z) = -2*z**3 + 6*z. Let k(c) = -5*g(c) - 2*y(c). Let s(b) be the second derivative of k(b). What is s(w(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + l - 2*l + 0*l + 2*l - l + (3 - 1 - 4)*(0*l - 3*l + 5*l) in the form h + c*l and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-60) - 321\/(-45). Let g(b) = 2*b - 14. Let o be g(u). Suppose 2*j + 75 - 391 = o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 != 5389\/176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -8.1?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16176978 divided by -2\nAnswer: -8088489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25526520\/612 - (1 + 21)?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhpppphphhhhpxphhph. What is prob of picking 2 x?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 0.5 (c) -33 (d) 13 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1231\/15 + -82. Let f(j) be the third derivative of 1\/48*j**4 + v*j**5 + 1\/48*j**6 + 0*j - 1\/6*j**3 - j**2 + 0. Factor f(c).\nAnswer: (c + 1)**2*(5*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -89. Factor 2\/3*k - 2\/3*k**c + 4\/3*k**2 - 4\/3.\nAnswer: -2*(k - 2)*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**2 + 28*a**2 - 4*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 3 = 38. Solve -3*a + z*a = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 4, c: 3, v: 2, g: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -569.4 - 707689004.\nAnswer: -707689573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 11:20 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110456 (base 7) in base 10?\nAnswer: -254743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 1 + 2*d + 0*d + 3*d. Let f be p(-5). Let h(r) = -9*r - 1. What is h(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -43 - (0 - (-1 + 2)). Let o = -28 - c. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 234, 204, 162?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 308734229*x - 130385755?\nAnswer: 308734229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 458228269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -29*p - 2 + 3 + 2. Let f be 33\/22*(84\/(-9))\/7. What is the units digit of m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -23*c + 25*c. Let p be c\/16 + 6\/(-16). Let a(j) = -4*j + 1. What is the remainder when 19 is divided by a(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-40)\/12)*6\/108?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003002019901 rounded to six decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882162 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 2. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 7)*(-130 - 184 + 13067*j - 13063*j).\nAnswer: 8*j - 628","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 21*u**2 + 2*u - 1. Suppose -5*k = -3*k - 6. Let a be (-4)\/(-6) - k\/(-9). Calculate the least common multiple of 2 and y(a).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0 - -17) + -1087 + 1083.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 11.3. Let x = 37.231855 + -36.932. Let z = s + x. What is z rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 1635 = -15*s. What are the prime factors of s?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 72 = -28*a. Let x(l) = 3*l - 44. Let g be x(a). Solve 7*m - g = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 5. Suppose 4*p - 5 = 59. Calculate the greatest common divisor of d and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(112))**2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/10 - (-36675)\/125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 109514.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(-5*f - f + 3*f)*(4*f**2 + 5*f**2 - 12*f**2) + (11 - 9*f**2 - 11)*(-4*f - 76 + 76).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*t - 488 = 305 - 177 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 15. Let q be n(-7). Suppose 0 = -q*i + i - 3*x + 222, -2*x = -3*i + 118. Calculate the highest common factor of i and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 10291*w - 10293*w - 3.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v. List the prime factors of z(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/711 + 2147\/4977. Let j = 1 - -2. Which is the nearest to -0.1? (a) l (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let g(w) = w + 6*w - 2*w. What is g(z(a))?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16663 - -3.53?\nAnswer: -16659.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 11*c**3 - 4*c**3.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47111 * 0.2.\nAnswer: -9422.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 0 (c) 13 (d) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389965483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-3 - -2) + -6 + 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 6\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 3. Let y = o - -7.2. Is y less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 26*h - 12*h.\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -1, -14, 0.01?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -994*b**5 - 58*b**4 - 40*b**2 + 2065 wrt b?\nAnswer: -59640*b**2 - 1392*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4867 is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 6 - -3) + (-1 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*c + 5*m, -3*c - m = 3 + 4. Let k(g) = -g**3 - g**2 + 5*g + 1. Determine k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(384)*-2)\/sqrt(4))\/((sqrt(32) - sqrt(1152))*-2).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*-2)\/((-40)\/200).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 3*l - 7*l, -2*r = -l - 4. Let s be r - 1*8 - -1. Suppose 5*x = 3*h + 19, 9*x - 11*x - 5*h - 11 = 0. Put s, x, -4 in descending order.\nAnswer: x, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/(-24)*3\/14. Which is the smallest value? (a) n (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00234453 to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -8. Let l = x + 21.05. What is the third biggest value in 5, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041874298 to the power of 1\/3, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:46 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 527000 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2. Suppose -20 = -4*f, -6*c + 14 = -4*c + 4*f. Let t(d) = -2*d**3 + 3*d**2 - d. Calculate c*o(q) - t(q).\nAnswer: -q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tptnpptnnntnpn. Give prob of picking 2 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 547 - -95. List the prime factors of j.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 (base 3) in base 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564423229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let q(g) = 456837*g. What is q(i(b))?\nAnswer: -913674*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:42 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d - 231. Let p be a(25). Let r(q) = 6*q**2 + 2 - 3*q**2 + 19*q - 4*q**2. Let y be r(p). Put 20, -4, y, -1 in ascending order.\nAnswer: -4, -1, y, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*z - 35660 + 299*z + 35660 - 223*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1648.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose -2*o = j*z - 24, 0 = -4*o - o + 3*z - 5. Suppose -3*d = o - 50. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/15, -3, -331.4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18600 is divided by 209?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*a + 2*n + 51, -2*n + 48 = 4*a. Differentiate a*i**2 - 11*i**2 + 10 - 1 + 8*i**3 with respect to i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**3 + j**2 + 3*j + 2. Let x be z(-1). Let m be (3 + -3)*x\/(-24). What is the remainder when 3 + m - (2 + (-5)\/5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkklkkkkkkkmkkkmkkm. Give prob of picking 1 m and 1 l.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 6:22 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117109 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-2)\/(-316)*1746\/(-2619))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 349*o + 23646. What is q(-92)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**2 + 95*k - 90 = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aea (base 16) in base 11?\nAnswer: 8288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9)*3*-1).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -60.05. What is the smallest value in 2\/5, y, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 67, 112, 157, 202, 247, 292?\n\"Answer: 45*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**5\/20 - 5*x**4\/12 + x**3\/3 + 6*x**2 + 14*x. Calculate the lowest common multiple of a(-5) and (1 + 17)*(-2)\/(-18)*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/5 and -48\/629?\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32514504 + 31?\nAnswer: 32514535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2004 - 2352?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 931 + -8318\/9. Let u(x) be the third derivative of -x**4\/8 + 7*x**3\/3 - 11*x**2. Calculate the common denominator of u(6) and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 4*f - 98, -4*f - 74 = 545*o - 551*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115401568, 115401566, 115401564?\nAnswer: 115401562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16368470, -32736940, -49105410, -65473880?\n\"Answer: -16368470*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.83 milligrams to kilograms.\nAnswer: 0.00047783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25443 + 25446. Let q(f) be the third derivative of 2\/3*f**i + 5\/12*f**4 + 0*f + 0 - 21*f**2 + 1\/10*f**5. Determine p so that q(p) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3622, 7323, 11038, 14773, 18534, 22327, 26158, 30033?\nAnswer: 33958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 + 184508*p**3 + 1844944*p**2 + 5903680*p + 5903616 = 0.\nAnswer: -92244, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 1724.26.\nAnswer: 51.7278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 6*c - 7. Let h be s(4). Let j(w) = -2*w - 15. Let m = -48 - -39. Let o be j(m). Solve 0 = -z - h, -5*n + 2*z - o*z + 14 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 10. Let t(v) = -2*v**3 - 8*v**2 + 8*v. Let h(k) = -k**3 - 5*k**2 + 5*k. Calculate a*h(c) + 5*t(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(2) - sqrt(2)) - (3 + sqrt(2) + 1)) + (2 + -2 + sqrt(18))**2.\nAnswer: -sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 42. Let h(j) = j + 14. Let c(q) = 6*f(q) - 17*h(q). Let v(b) = 3 + 75*b - 77*b + 2. Calculate -3*c(g) + 8*v(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqzzuqquucugubcuqc. Give prob of sequence zzq.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 19*f = -21*f - 48, 5*x + 4*f = -46. Sort -2, 5, x, -11 in decreasing order.\nAnswer: 5, -2, x, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w + 10. Let d(c) be the second derivative of -c**3\/3 - 3*c**2\/2 - c. Suppose -202 + 187 = 3*y. What is y*x(a) - 16*d(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/6 - 2*a. Let d(t) be the third derivative of 0*t + 0 + 0*t**3 - 3\/4*t**4 + 20*t**2. Give h(d(c)).\nAnswer: 648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9008)\/(-15764))\/((-232)\/140).\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -3. Let t = w + -12. Let k = -185 - -184.7. Which is the third biggest value? (a) k (b) t (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/9016002 and -68\/4508001.\nAnswer: 9016002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*3\/(1*-9). Let m be g\/4 - 2\/(-4). Let r = -1 - m. Let j(u) = u**2 + u. Calculate j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e (base 16) in base 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*p + 3*p. Let b be p - 0 - (-8 - -2). Calculate the common denominator of (-1)\/b + 89\/24 and -57\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127.65 - 134. Let r = y - -2.23. Let h = r - -0.12. Which is the closest to h? (a) -4\/9 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*y = 24, -2*a + 7*y = 2*y + 23. Let c(r) = -3*r**2 + 3*r - 2. Let h be c(a). What are the prime factors of (-1710)\/(-85) + h\/17?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z**2. Let p be ((-4)\/3)\/((-1)\/(-3)). Let b(q) = q**3 + 3*q**2. Give p*b(n) + 12*m(n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 33*y - 19 = 35*y, 4*q - 2*y = 22. Solve 0 = -q*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 - 6*c**2)*(-8 - 1 - 4).\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9173*h = -349215 - 806583 for h.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3422 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five halves of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -5, 1\/4, 41907, 5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106 or 895.3743?\nAnswer: 895.3743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 886, 0, 3.\nAnswer: 0, 3, 886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2340 + 6384. List the prime factors of v.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11113121323 (base 4) in base 12?\nAnswer: -579bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g. Let v(p) = -p**2 + 7*p - 7. Let r be v(5). Let k be m(r). Let h(i) = -3*i - 2. Let q be h(k). Is -20 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40bcbc (base 13) in base 4?\nAnswer: 11301001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101 (base 2) in base 6?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 4*m. Suppose m*l - 10 = -g - 2*l, 5*g - 2*l - 131 = 0. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 1, x: 2, m: 2}. Give prob of picking 1 z and 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633.39*-0.24.\nAnswer: 152.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40482*q**2 - 3 + 3 - 40428*q**2.\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2 (c) 0.031 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 679 - 688. What is the biggest value in 0.5, z, 3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-42)\/(-10) - 7\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 48 = 3*w, 0 = -w + 3*w + 4*r + 56. Let a be ((-24)\/w)\/(2\/(-5)). Which is bigger: a or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 w when three letters picked without replacement from ttwitijwvttjjtww.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*r + 17225, r + 2*q = -2*q - 3420. Round r to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/((-242)\/(-286) - 2\/(-13)). Let u be y\/14 - 16925\/2. Round u to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:31 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19800 plus 1.3?\nAnswer: 19801.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -26*((-14)\/8)\/(-7). Which is the nearest to s? (a) 0.4 (b) -1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -623, -935?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641587 to the power of 1\/2, to the nearest integer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:35 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 7 - 5. Suppose 13 = -5*q - 12, p*r + q + 1 = 0. What is the units digit of (2*-2)\/(-2) - r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -102?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + 3. Let v = y + -42. Let h = 19.5 + v. Which is the closest to 1\/5? (a) -4 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2620\/11 - 238. Let j = -0.05834 - -2.05834. Which is the biggest value? (a) 3\/5 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-3)*(-12)\/70. Determine l, given that 4\/7 - c*l**2 + 2\/7*l = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*c + 41, -2*u + 6*u - 2*c = -56. What is the remainder when 24 is divided by u\/2*(-24)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*u**4 - 6*b*u**3 - 135150*b*u - 4*b + 2*u**3 + 8*u**2 wrt u.\nAnswer: 24*b*u**2 - 36*b*u + 12*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 0*p**3 + p**3)*(-62 - 76 + 111).\nAnswer: -54*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*r + 76, -5*r + 0 = 20. Calculate the lowest common multiple of t and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*h + 59 - 8, -4*h + 54 = -5*f. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24 + -0.24. Suppose c + 2*c + 6 = 0. Let j be c\/(-6) - (-20)\/(-24). Put j, 2\/17, u in decreasing order.\nAnswer: 2\/17, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12450 and 77688?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7483*o - 815663. Determine w(109).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c + 8*c**2 - 1\/12*c**4 + 0 + 0*c**3. Let l(r) = -16*r. Give m(l(o)).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from uwwwwwwwwlwwwwwll?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23613 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - (5 - 760\/24). Suppose -3*w + 3*c = -j, 3*w - 6 = -0*w - 4*c. Solve 3*m = -5*p + 13, -w = -m - p - p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 33 = -3*z, 158*a + 4*z = 163*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7070878 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s = -43*s - 5. Let y(o) = o**2 - 9*o + 22. Let g be y(s). What is the remainder when 68 is divided by g\/(-8) + 465\/20?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 127*u**2 + 135*u - 17153. Give k(127).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1856 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52511 - 42218941\/804. Calculate the common denominator of x and 87\/2278.\nAnswer: 13668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y + 24 = 0. Let z be (1 - 2)\/(y\/(-312)). Solve 5*s + 3*m + 10 = 0, 4*s - 5*m = -10 + z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -9283.\nAnswer: -10\/9283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24375988 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 28*d - 1 + 40*d - 67*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 2304820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -146, -57, 28 in decreasing order.\nAnswer: 28, -2, -57, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1736 - 1228. Let m = -207 + g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64009703?\nAnswer: 673, 95111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/96)\/((-9)\/12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2 - 18*k + 2 + 20*k. Let n be u(3). Solve 0*z = 2*z - n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 - (30 - 31). Suppose -y = -5, -2*f + 7*f = 2*y + 15. Factor f*k**3 + 2*k**4 - 4*k - c*k**3 + k**3 - 2.\nAnswer: 2*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59432758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-9))\/(40\/(-920)))\/((-1*1)\/4)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Let p be 3 + u\/(-1) + 1. Let z(q) = -q**3 - 2*q**2 + 2*q. Let o(l) = l**3 + l**2 - l. Calculate p*z(f) + 2*o(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*m - 277 - 317 = 407*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 48848.9 to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 7*y**2 + 18*y + 4. Let n be r(2). Sort n, 0.2, -4, 1\/3, 3\/28 in decreasing order.\nAnswer: n, 1\/3, 0.2, 3\/28, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 3*z + 60 + 33 + 30 - 240.\nAnswer: 3*z - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.15, -1\/3, -0.4, 3\/2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1976*o**3 - 86*o + 33?\nAnswer: 11856*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + 104. Let c = 219 - h. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5.7, -3\/40, 5, 1, 0.3, -67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*a + 6 + 9 - 3 in the form o + g*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 3*t + 14. Let o be x(0). Suppose 0 = -b + o + 16. Suppose -3*s + 95 = 2*d + 23, -80 = -2*d - 5*s. Are d and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 534 and 97709718?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -69*p - 254 - 145 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22713 = 190*q - 772*q + 10461. Solve 29*a + 1 = -q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 6*h**2 + 6*h - 3. Let k(n) be the second derivative of -n**5\/20 - 2*n**4\/3 - 4*n**3\/3 - n**2 + 5*n. Let p be k(-7). Determine y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180) + sqrt(180))*1 + -2*sqrt(20) + (0 + sqrt(245))**2 - -3*(sqrt(125)*2 + 3 + 3)**2.\nAnswer: 368*sqrt(5) + 1853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128\/17 - 8\/17*g**2 + 2\/17*g**3 - 32\/17*g.\nAnswer: 2*(g - 4)**2*(g + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*z**4 - 69*z - 86*z + 108*z - z**3 wrt z.\nAnswer: 636*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 3455*y - 3459*y - 5, -4*y - 32 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21.235293 minutes?\nAnswer: 0.35392155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)**(-7)\/((n*n**2*n)\/n)**(1\/10))**39 assuming n is positive.\nAnswer: n**(-117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 50*h**2 + 51*h - 28. Let n be c(51). Let s(v) = v**2 + 22*v - 3. Calculate the remainder when s(n) is divided by 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -583*y + 583*y - 48*y**2 + (-4*y + y + y)*(-2*y + 2*y + 2*y) + 2*y - 2*y + y**2 + 0*y**2 - y**2 + 2*y**2 to the form q*y + u + h*y**2 and give h.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 1 v when three letters picked without replacement from lvbip.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65)\/(-528) + 6\/(-96). What is the closest to -4\/5 in w, 0.2, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 222*b + 9470 = -7364 + 1570 for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -107920098 rounded to the nearest one hundred thousand?\nAnswer: -107900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148*f**3 + 19*f**2 wrt f?\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**8\/90720 - k**7\/11340 - k**6\/1080 - k**5\/30 + 7*k**2. Let i(t) be the third derivative of x(t). Factor i(j).\nAnswer: 2*(j - 3)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 454.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**2*w**4 + 80*u**2*w + 37*u*w**2 + u - 759*w**4 - 40607*w**3 - 274*w**2 + 5*w wrt w.\nAnswer: -96*u**2*w - 18216*w - 243642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2 + 4*j. Let v be h(3). Suppose -5*a = -v*f - 22, -3*a + 10 + 1 = -4*f. Let u be f\/(-3 + 57\/18). Solve 0 = 5*m - k + u*k, -4 = 4*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173054?\nAnswer: 2, 7, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 6 = 1757*j - 1758*j, -4*j + 9 = 3*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67929418?\nAnswer: 2, 1699, 19991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((-1)\/(-5)*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113205, -113207, -113209, -113211, -113213?\nAnswer: -113215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6613034 by -5.\nAnswer: -6613034\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2216*q - 15312 = 5397 - 2981 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (315\/(-15))\/((24\/2)\/(19\/((-570)\/40)))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, 0.07, -5, -0.07, -0.1, -33?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(162) + -2))**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15173100721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209172.1km to nanometers.\nAnswer: 209172100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*u - 6065 = -5878, 0 = -b + 2*u - 31 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-39)*(v\/(v*v*v**(4\/5)*v*v))**(-4\/11) assuming v is positive.\nAnswer: v**(4366\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-12))\/((-11)\/((-462)\/(-9))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 11*u + 5. Let l be f(-8). Let h = l - 22. Let v = 58 + -56. Solve -v*n = h + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 8?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.5 + -7.9. Which is the third biggest value? (a) -0.1 (b) 3\/22 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2115*a = -2074*a - 574574. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 58420 and -114136.\nAnswer: -55716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/6141 and -83\/759.\nAnswer: 67551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 4096*y**2 + 344960*y.\nAnswer: 2*y*(y - 1960)*(y - 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 3*v**2 - 4*v + 5. Let z = -140 + 139. Let f(g) = -2*g + 8. What is the least common multiple of f(z) and j(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 6*i - 4. Let y(v) = -v**3 + 5*v**2 - 3*v - 4. Let g be y(3). Suppose -q = g*n + 8, n + 0*n + 1 = 0. Does 17 divide f(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 32 = -6*o. Calculate the lowest common multiple of 11 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.026 and 114.\nAnswer: 2.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2, 47, -9.\nAnswer: -9, -4, -2, -1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1 - ((6 - 6) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 16 + (0 + 0 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/36 and -29\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(5\/10*(-1)\/1). Let r be (k\/(2 - 4))\/((-2)\/5). Calculate the lowest common multiple of 9 and -2 + (-14)\/(-10) - (-18)\/r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779566.\nAnswer: 2, 389783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, -5, -0.3, 5, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(396) + -1)**2 - sqrt(396) - (-1*(sqrt(396) + -1 + sqrt(396)))**2)*5.\nAnswer: -13880 + 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 27*g**2 + 60*g - 47. Let n(q) = 3*q**2 - 3*q + 2. What is the least common multiple of n(2) and b(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*m**(-2\/11))**(-18\/5) assuming m is positive.\nAnswer: m**(-144\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-21)\/(-15))\/(-7))\/(48\/(-10)). Let f(r) be the third derivative of 0*r**3 + 0*r + l*r**4 - 4*r**2 + 0. Let s(m) = 4*m. What is s(f(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*v - 1250 + 1881 = -2853 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 30*x + 80. Let z be y(-5). Suppose -3*t = 1 - 10. Sort z, -5, t in decreasing order.\nAnswer: z, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2.4, -197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -35. Differentiate 0*c**4 + 2*c**4 - 15 + i*c**4 with respect to c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*-2)\/((-8)\/12). Let i(p) be the third derivative of 0 + 1\/60*p**5 + 0*p + 2*p**2 + 1\/6*p**c - 1\/12*p**4. Factor i(h).\nAnswer: (h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/((-49)\/56). Let x = -0.42 + -0.08. Which is the closest to 1? (a) s (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 4*p. Let c be g(3). Let b be 1\/2*c*6. What is the greatest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - f + 138010 - 138034 = 0, 13*k - 41 = 3*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-4 - 1) + 2 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32126*d*i + 221921*d + 49*i - 10 wrt i.\nAnswer: -32126*d + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 11:47 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53115 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3722872.\nAnswer: 2, 23, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-42) - -40*13\/7. What is the second derivative of 10*q**3 + 7*q**3 - 62*q - 34*q + x*q**3 wrt q?\nAnswer: 546*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 27*m + 132. Determine s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*g = 3*b - 162, -g - 4 = 0. Does 34 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10*6\/4)\/(-1). Let b be (-3)\/(-9) + 17\/3. Solve b*q = q + z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 8883200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 - 6. Let x = 0 - -5. Put x, 0.4, v in descending order.\nAnswer: x, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 39 and 198\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in 0.3, -4\/7, 2\/51?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 1 + (0 - 4) + (-13 - -19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*f + 157 = 0, v - 710*f + 167 = -714*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(50) + -5 + sqrt(50)) + (-3*(-1*sqrt(128) + sqrt(128)))**2)*-6.\nAnswer: -240*sqrt(2) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5200 by 2600.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -2.54, 8, -1, -1\/2 in decreasing order.\nAnswer: 8, 3, -0.1, -1\/2, -1, -2.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -14. Let n = 12.53 + -13.6. Let z = n - 1.93. What is the second smallest value in z, j, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 33. Let y(z) = 1. Let p(r) = -m(r) + 2*y(r). Let u be p(17). Suppose -43 = -2*o - u. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 38*a + 336. Let i be n(14). Is 31\/71 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16784.8 - 16785. What is the fourth smallest value in -424, -0.3, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 1140933655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11929)\/67195 - 3\/(-2)*(-164)\/(-1230).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -1858d7?\nAnswer: 185904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3157*b - 6995 - 39672 - 13316 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5 - 307*p**4 + 24*p**3 - 634*p**2 + 3*p - 5?\nAnswer: 120*p**2 - 7368*p + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, d: 1}. What is prob of picking 3 s and 1 d?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 6:44 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-4 + sqrt(70))*1 - sqrt(70) - sqrt(70) - 1*sqrt(70)*-3)\/((-2*sqrt(90)*6)\/(sqrt(81)*-2)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 3*v**2 + 3*v - 3. Let z be x(4). Let n = -24 + 20. Let t = n - z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194.4271296 + -0.5686304. Let g = i + 195. Round g to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7228 - 72401\/10. Let r = -23\/2 - f. Let d = 3 + -1. Is r greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68207069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/12*w**4 - 1 + 1\/6*w**2 - 1\/3*w + 1\/9*w**3. What is g in a(g) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 608, 598, 588?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:08 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -41*x**2 + 2*x - 2. Let w be q(1). Let o = w + 77. Calculate the greatest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 254 - 254.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26\/7 (b) 4 (c) -102 (d) 5\/7 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.41, -2, -2\/11, 0 in decreasing order.\nAnswer: 0, -2\/11, -2, -3.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1646*b - 1647*b + d = -18055, 5*b - 3*d = 90277. Is b a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/13 (b) -0.09 (c) -1\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 1 h when three letters picked without replacement from {z: 1, i: 1, v: 1, c: 2, b: 1, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 8525?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -8, 5*s = -5*g + s + 69. Suppose l = 49 + 36. Calculate the highest common divisor of l and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2330206\/5 + 466046. Determine y, given that -r*y**2 - 18\/5*y**4 + 8\/5*y + 0 - 10*y**3 = 0.\nAnswer: -2, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -14441473\nAnswer: 72207365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*r**2 - 394*i**3*r + 32*i**2*r**2 - i*r**2 - 2*i*r + 164*i - 1177*r**2 + 5*r wrt r.\nAnswer: -2*i**3 + 64*i**2 - 2*i - 2354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39864529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010449.\nAnswer: 7, 53, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 6*w + 10. What is p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g. Let d(u) = -4*u. Let p(n) = 4*d(n) + 5*k(n). Let z(s) = -5*s**2 - 20. Let c(v) = -3*v**2 - 20. Let o(f) = 4*c(f) - 3*z(f). What is p(o(x))?\nAnswer: -3*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 5*d + 8*k + 24, -3*d - 3*k = 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 <= 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82986987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.2 - -45. Let w = u + -4.5. Let j be 34\/24 + (-2)\/3. Which is the biggest value? (a) w (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5 = -3*g + 14, g - 3 = 3*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1606*s + 1614*s + 52 - 3218*s.\nAnswer: 2*s + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138002 is divided by 1259.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 5*y**4\/4 - 7*y**2\/2 - 5. Find the second derivative of u(z) wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1. Let p(x) = -8. Let a(j) = 4*h(j) + p(j). Let t(y) = -1. What is -a(r) + 5*t(r)?\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 5, -173, -0.1, 2\/9, 4?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmenbqeebbnx. What is prob of picking 1 m and 1 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 - -128 - 110 - 127?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 29. Suppose 4 - 9 = -o*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 - 2*m**3 - 2 + 4*m**2 + 11*m - 10*m. Let i be k(-3). Suppose -4*x = -2*u - 6, -i*x + 14 = x + 4*u. Solve x*b - 8 + 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11625319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, d: 1, y: 4, k: 2}. What is prob of picking 3 m?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-1188)\/1944 + 7\/14*(-6)\/(-27))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k + 3*k - 7 + 9. Determine t(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 + 2*v**2)*((0*v + 0*v - 2*v)*(1 + 2*v - 1) + 3*v**2 + 5*v**2 - 3*v**2 - 2 - 2*v**2 + 2) + (4*v**3 - 6*v**3 - 3*v**3)*(-1 + 2*v + 1).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-23))\/o*o*(o*o**(-3))\/o*(o\/(o*o*o**(-7\/3)))**(3\/2))**(2\/95) assuming o is positive.\nAnswer: o**(46\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k + 5 - 5.\nAnswer: 63*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164469196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99306.39 nanometers in kilometers?\nAnswer: 0.00000009930639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-1 + 2)*288\/64. What is the third derivative of 8*u**2 - 40*u**4 + n*u**2 + 0*u**4 - 24*u**4 + 11*u**2 wrt u?\nAnswer: -1536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -18*s**2 - 5*s + 43. Let w(y) = -52*y**2 - 15*y + 128. Let n(h) = 8*a(h) - 3*w(h). Let o be n(8). Calculate the greatest common factor of o and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 23556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -201033231 (base 4) to base 14\nAnswer: -378a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(1539) + -2 - (-5 + (-1*sqrt(1539) - sqrt(1539)) + sqrt(1539)))**2.\nAnswer: 72*sqrt(19) + 6158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3575 - -371?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let x be (-1 + -3 + n)\/(-1). Let i(j) = 4*j. Let y(m) be the third derivative of -m**4\/8 - m**2. Calculate x*y(k) + 4*i(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 - r**2 - 8*r - 245. Factor n(o).\nAnswer: (o - 4)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2460 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*x - 20, 0 = 4*j - 0*j - 2*x + 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1883 - 1877. Suppose 3*x + 20 = -7. Let j = 13 + x. Calculate the lowest common multiple of a and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33858820 to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 87, 187, 325?\n\"Answer: 19*u**2 + 5*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by -15705\nAnswer: 41\/3141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -82701\/8 (c) -3\/19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75513.\nAnswer: 3, 25171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/((d*d*d**4)\/d*d)*d)**(-2\/61) assuming d is positive.\nAnswer: d**(2\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Let l = 359.03 + -362. Let g = l + -0.03. Which is the closest to 1? (a) x (b) -1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/10 + 7*z**3\/6 + 7*z**2\/2 - z. Let r(k) be the first derivative of k**2\/2 + k + 1. Calculate -2*b(y) + 14*r(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160654.\nAnswer: 2, 13, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2. Let c(q) = 4*q**2 - 6*q - 6. Let f(n) = -3*n**2 + 5*n + 5. Let l(s) = 5*c(s) + 6*f(s). Calculate b(l(g)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + -bc88?\nAnswer: -bcab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 5, u: 2, z: 4, t: 1}. What is prob of picking 2 u and 1 t?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(20\/3)*r**5 assuming r is positive.\nAnswer: r**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*i + 1140, 2*i + i - 852 = 4*t. What is the greatest common factor of i and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 69 = -5*x, 7*a - 3*a = 4*x + 84. Let f = 5 + -161. What is the remainder when f\/24*(-1 + -7) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21751632 divided by -1008\nAnswer: 21579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98135 is divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -8. Suppose -4 + 3 = -w. Suppose -38 = -3*a + w. Calculate the remainder when a is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*q + 1823 = 0, 0 = -5*l - 0*q + 4*q - 1831. Let f = -1821\/5 - l. Let u = 8\/17 + -22\/119. Which is the closest to -0.1? (a) u (b) 7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**7\/1260 + 11*s**4\/2 + s**2 + s + 12. Let f(c) be the third derivative of o(c). Factor f(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 5. Suppose -r*x - 2*f - 3*f = 3, 0 = -x - f. Sort x, -4, 3 in decreasing order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650595*j + 651298*j - 1301888*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-2 + sqrt(891))*5*-4 + 2))**2.\nAnswer: -544320*sqrt(11) + 12893904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 59*z**2 - 174*z - 101. Determine g(62).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j + 12. What is the common denominator of 25\/7 and j + 0 - (-273)\/24?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75474824 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2401719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207163210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932468 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 475650023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -18*(-5)\/(-10)*-3 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(((8 - -5) + -25 + 18)\/(5 + -2))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((572\/39)\/22)\/(3\/27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116494.\nAnswer: 2, 7, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -100, -228, -408, -640?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 + 12109*z\/3 + 8073\/2.\nAnswer: -(z - 24219)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.4443 - -1146.4377. Let z = d - 1189.95199992. Let g = -0.07 - z. Round g to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163611.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**2*(p**6*p*p)\/(p\/p**(-4\/3)))**3 assuming p is positive.\nAnswer: p**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155 + -150. Suppose -18266 + 2131 = -j*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4ab (base 13) to base 14\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(21\/14) - (2 - 0). Suppose 5*a - 4*x - 29 = 0, 5*x - 2 = 2*a - r*x. Let u(q) = 41*q**2 - 21*q + 8. Let v be u(a). Round v to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = s - 591, -6*s + 11*s = 2*p - 573. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(-1*sqrt(160)) - ((sqrt(60)\/sqrt(4)*-6)\/sqrt(3))**2 - ((sqrt(810)*2)\/sqrt(2) - ((sqrt(10)\/sqrt(2))**2*6 - -1*(-1 + sqrt(5) + sqrt(5)))).\nAnswer: -151 - 65*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 5*k - 22, -45308*p + 22654*p = -22652*p - k - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -130, -116, -84, -28, 58, 180, 344?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1434*x**2 - 1454*x**2 - 4*x**4 + 14*x**4 wrt x.\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -3. Suppose 2*g = -x*g + 600. Let a be ((-177500)\/(-6))\/(5\/g). What is a rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -19. Suppose 5*u + 15 = 0, -5*j = -v*j - 5*u - 17. Suppose -4*f + j*p + 34 + 2 = 0, 9 = -f - 4*p. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 2, -3, 1 in decreasing order.\nAnswer: 3, 2, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.1, -3\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**8\/1176 + k**7\/735 + 3*k**2\/2 + 3*k. Let j(x) be the first derivative of h(x). Solve j(q) = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 6*k - 6. Let y be x(4). What is the common denominator of (-6)\/12*(-4)\/y and -47\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v - 4*v)*(246*v**2 - 246*v**2 + v**3).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7199868 and -115\/12.\nAnswer: 7199868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34932 and 820?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 1\/(-3)*3. Solve 4*d + 5 = -b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 332003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 21.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*z + 63 + 132, -2*z + 5*l + 117 = 0. Calculate the remainder when z is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 42*y + 2. Let z be f(5). Suppose z*c = 48*c - 3744. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*s + 7888, -2*t - 3*s + 1567 + 2375 = 0. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 3 - 3 + (-f**2 - f**2 + 0*f**2)*(-3*f**2 + 4*f**2 - 9*f**2) - 4*f**4 + 3*f**4 + 3*f**4.\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 5*y)*(328 + 364 + 264).\nAnswer: 2868*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/87 in 26, 2\/13, 3, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/130*(-12)\/(-10) + 43290\/845?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a00b (base 16) to base 12.\nAnswer: 1b863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8764000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.97. Let n = 0.43 - l. Sort n, -0.5, 0 in decreasing order.\nAnswer: n, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 928103, 1856208, 2784313, 3712418?\nAnswer: 4640523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*u + 5*t, t = -u + 770 - 767 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.5 and -3895?\nAnswer: 3893.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -10.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 - 20*o**3 + 25*o**2 - 10*o = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 69*b + 33. Let c(n) = -23*n - 12. Let y(u) = 11*c(u) + 4*z(u). Let l(x) = -3*x**2. Give y(l(d)).\nAnswer: -69*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4914 by -13.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219 - -221. Let v(n) be the third derivative of n**5\/60 + n**4\/4 + n**3\/6 - n**2. Let p be v(-6). Solve -p = g - a - a, -x*a = -3*g + 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10587110587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*b**2 + 413*b**2 + 748*b**2.\nAnswer: 688*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (417 + 618 + 415 - 416)*(2*o + 3 - 3) + o + 3 - 3.\nAnswer: 2069*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59653319*b**3 + 116766997 wrt b.\nAnswer: 178959957*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b26cd (base 14) to base 16.\nAnswer: 1f2c0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*n + 21 + 13, 8 = -k + n. Let j(v) be the second derivative of -7*v**3\/3 + 10*v**2 + 3*v. What is the units digit of j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -9)\/(1\/1). Let q be o*(-1)\/12 - 4650\/(-180). Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -3.4. Let s = -2.8 + m. Let k = 155 + -2013\/13. Which is the closest to -0.1? (a) k (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.1 (b) 0.802 (c) 5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105684403, -105684404, -105684405, -105684406, -105684407, -105684408?\nAnswer: -105684409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17648*u**2 - 45*u + 52346. Let w(d) = 2521*d**2 + 6*d - 7478. Let j(q) = 15*w(q) + 2*x(q). Differentiate j(a) wrt a.\nAnswer: 5038*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30689 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvuv when four letters picked without replacement from {u: 5, v: 3, t: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v - 34*v + 21 - 27 in the form p + r*v and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) - sqrt(832)).\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 10*h - 18 = -2*u - 45, 0 = h - 3*u - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.891677 millennia?\nAnswer: 89.1677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363219 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5\/(-3))*16\/24.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81648 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 1. Let s(n) = 342*n + 4. Calculate -2*q(h) + s(h).\nAnswer: 348*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:29 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*x + 7122973 - 16837205 = 26970248. Round x to the nearest one thousand.\nAnswer: 346000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:58 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212298*l + 108 = -7*p + 212299*l, 2*l = p + 8 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285 and 48360?\nAnswer: 918840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 + 14820*x - 29637\/2.\nAnswer: -3*(x - 9879)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 64.\nAnswer: 64.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 0.15756?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-95)\/(-30) + (-2)\/12. Suppose -k*i = -6 - 6. Suppose -3*b + 3*p = -57000000, 62242171 = 3*b - i*p + 5242171. Round b to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132300 - 11?\nAnswer: -132311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 112 - 0?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 65.541+299405.2\nAnswer: 299470.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/3 (c) -0.04 (d) 0.201\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(325) - sqrt(325)) + sqrt(325) + sqrt(325) + -4 + 2*sqrt(325))*4 + (5 + -1 + sqrt(325))*-4*-4)**2*3.\nAnswer: 149760*sqrt(13) + 10552512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 - 11*t - 15. Let o be w(-2). Let x be 10*9\/270 + o\/3. Solve x = 5*g - 7 - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**3\/6 + 2*k**2 - 2*k. What is c(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60927558 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0 + 0*x - x + 0. Let k(h) = -9*h + 9. Let z(l) = -1. Suppose 0 = 15*d - 8*d + 7. Let r(w) = d*k(w) - 9*z(w). Determine p(r(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.1, 54, 4\/7 in ascending order.\nAnswer: -0.1, 2\/5, 4\/7, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = 2. What is the units digit of 15 + (-3)\/(c\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212735.8513 to the nearest one hundred.\nAnswer: -212700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*s + 20, -3*s - 6 = 2*c - 6*s for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 155 + 228. Let a = i + 55. Which is smaller: a or -153\/8?\nAnswer: -153\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 12*n + 17. Let m be q(13). Find the second derivative of 18*a**5 - 9*a**5 - m*a - 8*a**5 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.2481 to the nearest integer.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 43. Let l be 1\/b + (-13)\/((-39)\/72). Calculate the highest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -78 (b) 97 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -845*h - 4. Let n(z) = -141*z - 2. What is l(n(b))?\nAnswer: 119145*b + 1686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574.02 - -4?\nAnswer: 2578.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z + 1 - 4*z**2 - z**2 - 91*z - 18*z**2 + 28*z.\nAnswer: -23*z**2 - 154*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27490454 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(-15)*18\/(-135). Find z, given that y*z**3 + 0*z - 2\/3*z**2 + 8\/9 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-42) - 206\/(-14). Let n = d + -14. Let o be 14\/78 - 2\/6. What is the second smallest value in 2\/5, o, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -31*s. Let d(c) be the second derivative of -c**3\/3 - 29*c. Calculate d(t(v)).\nAnswer: 62*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1454\/3 - -485. Suppose 5*c + 44 = 4*l - 7*l, 3*l + 4*c + 43 = 0. Put l, m, 4 in decreasing order.\nAnswer: 4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-5)\/(20\/12). Suppose -3*x = -t - 5. Suppose -3*h + x = -2*h. Which is the smallest value? (a) 3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 58 = 12. Let p = w - -22. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 160\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**2 + 565545320*x - 15992075448695120 = 0.\nAnswer: 56554532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -468 + -4?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*z - 24, -6*z + z = t + 22. Let w be (-9 - -9) + 184\/(-3). Let n = w - -62. What is the nearest to n in -5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 121 = 4*y, 6*y - 125 = 2*y - w. Let c(m) = -m**3 + 4*m**2 - 6*m + 6. Let k be c(4). Let h = y + k. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/3 - r**3\/3 + r**2\/2 + 154*r. Suppose -5*l + 12 = -2*l. Suppose 5*c + 3 - 12 = -4*h, -5*h + l = -c. What is y(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.701641kg?\nAnswer: 6701641000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203719*o**2 + 528687*o wrt o?\nAnswer: 407438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 1 + -5)*-1. Let u = -0.27 - 0.13. Sort -2\/7, u, l.\nAnswer: u, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013489875 rounded to four decimal places?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26379, -26389, -26443, -26571, -26803, -27169?\n\"Answer: -5*u**3 + 8*u**2 + u - 26383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1040 + -250155?\nAnswer: -245115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.05 + 0.05. Let i = w - 4.1000084. Round i to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 366, 1, -99, -2, 0 in decreasing order.\nAnswer: 366, 1, 0, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)\/a*a*a**(2\/11)*a**(-3)\/(a**(1\/4)\/a))**(-15) assuming a is positive.\nAnswer: a**(1145\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*q + 2*s + 2*s, q - 2*s - 8 = 0. What are the prime factors of ((-8)\/3)\/(7\/((-273)\/q))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 91896577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99248 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-5)*-9*200\/(-270)*294\/112?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 413.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 20 = v, -25 = -3*v - w - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 10, -5*v = 4*g - 18. Suppose -60 = v*a + a. Does 11 divide (0 + 2)\/1 - a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2586124*q**4 + 213749*q wrt q.\nAnswer: 31033488*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -12*i**4 - 51820*i**3 - 17260*i**2 + 51820*i + 17272 = 0.\nAnswer: -4318, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 483*z**6 + 16*z**4 + 19*z**3 - z**2 - 3*z - 50298 wrt z.\nAnswer: 57960*z**3 + 384*z + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1282, -0.2 in descending order.\nAnswer: 1282, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10395 is divided by 5098.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9193313, -9193311, -9193309, -9193307, -9193305, -9193303?\nAnswer: -9193301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 26. Let a = 18 + -31. Let p be y(a). Suppose 4*d - 2*i - 12 = p, 0 = -2*i + 4 - 0. Solve d*u = -5*g + 16, -5*g + 0*u = -2*u - 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 14. Let a be 6 + (-170)\/25 + 48\/10. Let u be q(a). Solve 4*o + 26 = 5*s, u*s + 3*s - 2*o - 18 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -28 + 63 + (1 - -69) - (-4 - 0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*h + 250 = 355*h. Suppose -5*m - 31 = -w - w, 5*w + m = h. Suppose 2*c + c - 3*y = 12, -4 = -2*y. Solve c*f - w*f - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8057255, 8057256, 8057257?\n\"Answer: f + 8057254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7536.731 to the nearest 100.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 50 = 18. Let o = 7 + -4. Solve w + o*w = -h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + ((-900)\/12 + 14)\/(-2).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 3*l + 18 + 10, -4*l + 9 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.99957 + -45. What is a rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2258 - -2282. Solve 17*w = 10 + u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -84a1 - -114b?\nAnswer: -7354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50188.9967099 + 50189. What is v rounded to 4 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * -292.2032\nAnswer: 61.362672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -313, -908, -1851, -3202, -5021?\n\"Answer: -10*f**3 - 84*f**2 + 15*f + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.00286 and 163215348.\nAnswer: 163215347.99714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30, -0.1, 1, 1668, 0.24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 - 5. Let d(u) = 5*u**3 - 6 - u**2 + u**2 - 9*u**3. Determine -5*d(v) + 6*r(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a677 (base 11) in base 15?\nAnswer: -ccd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -23. Find the common denominator of 112\/170 - v\/15*-3 and (17\/((-153)\/(-6)))\/(14\/(-27)).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, u: 11}. Give prob of picking 4 u.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/54)\/(-4) + ((-799864)\/72)\/(-1) a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3*y**5 + 29*v**3 - 714*y**5 + 95*y wrt y.\nAnswer: -20*v**3*y**3 - 14280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 27 + (3 - 1). Let o be 8\/f + 5\/7. Let h(z) = -2 + o + 0. Let a(y) = -y**2 - y - 3. What is -2*a(x) + 6*h(x)?\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 16. Which is the smallest value? (a) 0.2 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - 4*q**4 + 6*q**4)*(441 - 24*q - 441).\nAnswer: -120*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -671, -2251, -4883, -8567, -13303, -19091, -25931?\n\"Answer: -526*y**2 - 2*y - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crmf when four letters picked without replacement from {r: 1, g: 8, c: 2, f: 1, m: 2}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4 + (sqrt(245)*-3 - sqrt(245)) + sqrt(125) + (sqrt(125) - (-4 + sqrt(125) + 0)) + sqrt(125))**2 + -2)*4.\nAnswer: -1152*sqrt(5) + 6736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.25877 and -0.101.\nAnswer: 0.12713577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**5\/5 + 8*u**4\/5 - 72*u**3\/5 - 272*u**2\/5 - 316*u\/5 - 24 = 0.\nAnswer: -3, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -11 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 - -39.8. Let a = i + -24. Let n = a - 11.028. Round n to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -19 - (-39 + 21 + 17 - (-22 + -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2\/5 (c) 0.4 (d) -169\/4 (e) 4246 (f) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.34 - 1.3375. Let c = 16.9475 + i. Round c to one dp.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16644612269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**7)*a)\/(a*a**(4\/7))*(a**(2\/3)\/a)**13)\/((a**(-5\/3)*a\/(a\/a**(-3))*a)\/((a*(a\/a**(-7))\/a)\/a**(-4))) assuming a is positive.\nAnswer: a**(373\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -2 (b) -2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*k + 4 = 0, 0*x + k + 18 = 5*x. Suppose 2*m = x*d - m - 56, 4*d - 2*m = 56. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*y + 5*y - 23, 5*y - 2*w - 30 = 0. Suppose -4*d - 2*u + 22 = 0, -4*u + 0 + y = 0. Suppose d*q - 50 = -0*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - (-16076)\/24)*(-1 - -4)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + 1.29. Let s = w + 2.03. What is s rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c - 40 = 0. Suppose 7*j + 25*j = 45*j. Solve j = -b + 6*b - c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -4984200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q**2 - q + 2. Let k be m(0). Let b = -206 - -209. Solve f - b*u = -14, 4*f - 4 = k*u - 5*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 3*l**2 + 2*l**2)*(-3*l**3 + l**3 - l**3) - 3*l + 3*l + 3*l**5.\nAnswer: -9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.7 + 7.8. Let f = -5.1 - g. Let k = 5.03 - 0.03. Sort k, 0.1, f.\nAnswer: f, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**(-14))\/l))\/((l\/(l\/(l**18\/l*l)))\/l) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108153413 is divided by 54076698?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*h + 0 + (-6*h + 2*h + 3*h)*(2 - 4 + 0) + (0*h + 1 - 5*h - h)*(-1 + 0 + 0).\nAnswer: 10*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)\/v*v*v*v**(-5))\/(((v**(3\/7)*v)\/v*v)\/(v*v**4)))\/((v*v**(-5))\/v**5)**(35\/4) assuming v is positive.\nAnswer: v**(1969\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42331770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 63?\nAnswer: 17\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/12)\/(-5*4\/(-10)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1624418 to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92804 is divided by 480?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 21*o - 135. Find the first derivative of -o*y - 16 + 27 - 24*y - 12*y wrt y.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 - (41 - 62)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, m: 7}. Give prob of sequence mm.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26 - 25)*(3 + -3). Let v(r) be the second derivative of 0*r**3 + 5*r + 3\/2*r**2 - 1\/12*r**4 + j. Give v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 4*g = -12*w - 25977, 4*w - 3*g = 34686. What is the highest common divisor of w and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839337 not equal to 1839337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3233, -1\/4, 3, 1\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 261*g - g**2 + 75*g**3 - 145*g**3 + 71*g**3.\nAnswer: g**3 - 261*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -73*x**5\/5 + x**2\/2 + 26*x - 170. What is the second derivative of v(b) wrt b?\nAnswer: -876*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(300) - (sqrt(300) + 0) - -6*(sqrt(3) - (0 + sqrt(3)))) + -1*(-1 + -2*sqrt(3)) + 3)*-3)**2.\nAnswer: -1008 - 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7164130*c**2 + 12473608*c.\nAnswer: 14328260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v + 162. Let x be w(16). What is the nearest to 16 in 3\/5, x, -1, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 52 + 52)*(-136*b + 89*b + 646*b) as d + g*b + k*b**2 and give k.\nAnswer: -1198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24831\/(-178))\/(18\/(-4)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 18772049?\nAnswer: 131404343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81.33 + -81. Let y = u - 0.329957. Round y to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923183.6 meters in nanometers?\nAnswer: 923183600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - 1.600007. Round s to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from annavannsnnannnan. What is prob of picking 1 s and 2 a?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506013, 1012025, 1518037, 2024049, 2530061, 3036073?\nAnswer: 3542085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqaqnpaqikann. Give prob of sequence piqn.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:49 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 135 - 3*r - 14*r - 2*r. Let j be w(7). Solve 4*n = -n + j*z + 16, 3*z + 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 42*k**2 + 204*k + 216.\nAnswer: -3*(k - 18)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/30*(-5735)\/112406.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 16 = 0, 4*h - 1126*z = -1127*z + 1744. Calculate the highest common factor of h and 931.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*(2*n + 2*n - 3*n) - 3*n + 2*n + 0*n + 5 - 3 + n - 9 to the form v*n + a and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 51*y + 4. Suppose -4 = -3*n + 23. Let l = n + -13. Let v be o(l). Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -99*m**2 + 13759*m + 268. Give d(139).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 + 8*f**2 + 5*f - 2. Let j be s(5). Suppose -j = r - 5*r. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4710 or -4711?\nAnswer: -4711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 8:21 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 20*b**5 + 222*b**4 + 764*b**3 + 678*b**2 - 604*b - 720 = 0.\nAnswer: -5, -4, -2, -1, 9\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/336 and -5\/1182?\nAnswer: 66192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -420\/41 + 79\/492. Find the common denominator of m and 13\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02799 - 0.04799. Which is the closest to 2\/5? (a) l (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 772 and 28332?\nAnswer: 5468076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3\/17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + i**2 - 25*i**2 - 4*i**2 - 11*i**2 in the form h + m*i + x*i**2 and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-24)*32\/(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1433 and 1347613262.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -280348, -1121182, -2522498, -4484296?\n\"Answer: -280241*p**2 - 111*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3592*p + 5314*p + 19612*p + 9129*p.\nAnswer: 37647*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - -3*sqrt(187)*5)\/sqrt(11))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 0*r**3 + 3*r**3 + (4 + 0 - 3)*(0*r**2 - 2*r**3 + 0*r**2) - 3 + 2*r**3 + 3 + 7845*r**3 - 6236*r**3 + 7662*r**3.\nAnswer: 9270*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -697 + 682 + -1 + 1 + 4 + (-46 - -4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**3\/3 - k**2\/2 - 5*k. Let q be 1\/3*4*3. Suppose -2*s = -q*s + 8. What is h(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5188.633 to the nearest 10.\nAnswer: -5190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*p - 3 = -0*b, 0 = -3*b - p + 7. Suppose u - b*u + t + 915 = 0, 5*u - t = 4559. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10428, 41712, 93852, 166848, 260700, 375408?\nAnswer: 510972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p + 29*p = -22*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - 3*u**2 - 2*u**3 + (-u**2 - 3*u + 3*u)*(-u + 2*u + u) - 3 - 53*u**3 - 3 + 52*u**3.\nAnswer: -5*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253*m**2*s**3*u**2 + m**2*s**3 + 4*m**2*s*u - 3*m**2*u**2 + 10*m*s**2*u wrt s?\nAnswer: -1518*m**2*u**2 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55771*n**2*p**3 - n**2*p**2 - 5320*p**2 wrt p?\nAnswer: -334626*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 6*l + 15. Suppose 0 + l = b. Suppose 36 = 2*w - b*y, 5*w - 56 = -y - 0*y. What is the remainder when 45 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 9 - 4 - -7) + -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 15*l**2 + 39*l - 32. Let v be u(12). Suppose 5*f - 21 - v = -3*w, 0 = 4*f + 2*w - 20. Solve 3*y = f*x + 12, 3*y + 4 = 4*y - x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*h + 4232 = -6*h for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 + x. Let i be m(-1). Let g(v) be the first derivative of -v**4 + 9*v + 207. Let t(a) = -6*a**3 + 13. Determine i*t(u) - 7*g(u).\nAnswer: -2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -9. Let j(w) = w - 1. Let p be j(h). Suppose r + p*n = 5*r - 1180, 3*r + 4*n = 906. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281135867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 0.022, -1\/2, -0.1, 196, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1666\/9 - 16687\/90. Is m less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 14 = -14*l + 3*r, 5*r - 26 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 505, 872, 1271?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/2 + 25*t - 275\/2 = 0.\nAnswer: -55, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 6:23 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Suppose c - 3*v = 4, -2*c = -u*v - 18 + 4. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (426\/(-2)*1)\/(21\/14). Are -142 and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 351506 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-54)\/(-45))\/(6\/(-40)). Let a be 3\/6*(-20)\/o. Let c = -12 - -8. Put c, 1\/2, -3, a in descending order.\nAnswer: a, 1\/2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 26. Let r be w(-6). Let t be r\/5 + (-230)\/(-25) + -9. Solve -v + k = 4 - 3, 13 = -t*v + 5*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.4, 0.502.\nAnswer: -0.4, 1\/4, 0.502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 3*w**2 - 2*w - 4. Let v be g(-3). Let o be (4\/(-6))\/(v\/(-6)*1). Solve 3 = -o*p - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:21 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0114338815 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*d**2 + 0*d + 2*d + 27*d**2 + 2 - 12*d**4 - 2*d**3 + 23*d**2 - 51*d**2 to the form j + g*d**2 + i*d**4 + l*d**3 + b*d and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d - -cb?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**6\/45 + 19*g**5\/90 - 49*g**4\/27 + 116*g**3\/27 - 40*g**2\/9 + 1227*g. Let o(d) = 0. What is d?\nAnswer: -10, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 8*u**2 + 11*u - 15. What is z(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 291 - 263. What are the prime factors of p\/(-35)*135*(-2)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 971 - 867?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 46609214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 8 + 6)*(-121650 + 121650 - 143*y**2) + (-2*y - y + 5*y)*(-2*y + 1 - 1) to o*y + s + l*y**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/242*-11)\/(21\/(-644)*-2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10 - 2) + 96\/20. Suppose -2*p - r*c - 2 = 0, 2*p - 3*c - 21 = -3*p. List the prime factors of (31*p)\/((-27)\/(-18)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37264360667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/52532 or 0?\nAnswer: -1\/52532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*v**2 + 166*v**2 + 178*v**2 + 161*v**2 + 158*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21140 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/5 + 3018*j**2 - 24478251*j\/5 + 12595274256\/5.\nAnswer: -3*(j - 1979)**2*(j - 1072)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = 2*z, z + 27 = -4*j + 4*z. Let k = 2 - j. Solve -4*m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 40 = -t. Solve -v - v = 4*g + 12, 0 = -t*g + 3*v - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-75)\/(-24)))\/((-540)\/(-150))*27\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14476 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -233*w**6\/6 + 9*w**3 + 3*w**2\/2 - 128. Find the third derivative of a(m) wrt m.\nAnswer: -13980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 192*t**2 - 53*t - 9. Let d(k) = -192*k**2 + 63*k + 11. Give -5*d(z) - 6*q(z).\nAnswer: -192*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1599.3.\nAnswer: -6397.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1337801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 + 306?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -330, 6, 6.2 in increasing order.\nAnswer: -330, 6, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 20 + 23 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 38*n**2 + 2*n - 24. Let r(t) = t**3 - 21*t - 1. Let h be r(5). Let k be o(h). Solve -4*i = -6 - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (2 + 0 + sqrt(245)))**2 + 0 + ((-2 + 0 + sqrt(245))*-3)**2)*-5.\nAnswer: -11225 + 1260*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61513 and 129761.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(4) - sqrt(27))**2 + sqrt(3) + sqrt(3) + -2 + 5.\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p - 660. Let f = -94 - p. Suppose 3*c = 4 - 1, 0 = t - 2*c - f. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 4. Let q(c) = 1. Let b be (4 + (-55)\/15)*-3. Determine b*g(o) - 2*q(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1.34565\nAnswer: 0.672825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:04 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -9 - (1 - -3). Let o = 22 - t. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512 divided by 1394.\nAnswer: 256\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 549, 837, 1145, 1479, 1845, 2249, 2697?\nAnswer: 3195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**6\/60 - b**4\/12 + 3*b**2\/2 + 3. Let x(y) be the second derivative of c(y). Factor x(n).\nAnswer: 2*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/42)\/(36\/(-24))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) + (-116)\/(-14). Let v be 2 + (-2 + 10)\/4. Suppose -f = f, v*w - y = -3*f. Solve -4*m + w*k = -2, -5*m + k - 1 = 2*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219 + 53. Let h = 165.6 + c. Let p = 2 + -2.1. What is the closest to -1 in h, p, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-2 - -3))\/3. Suppose t = -4*f - f - 90000. What is f rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*u - 1, -5*u = -6*u - k + 1. Let j be u + 12\/(-9)*-3. Suppose 5*m - 64 = -4*l, 3*l + j*m = 6*l - 48. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -15. Let v = 10 + -8. Suppose g = v*a - 611 + 229. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*h = -913*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*g = 5*w - 209*g + 66, 0 = -3*w - g - 33 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (175\/(-56) + -1))*-2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:51 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, 2, -4, 49, -15, -240 in descending order.\nAnswer: 150, 49, 2, -4, -15, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13047 times 0.4?\nAnswer: 5218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.41404 centuries in years?\nAnswer: 9741.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 5*y**2 + 123*y - 16507*y - 4*y**2 - 3*y**2 in the form g*y + q*y**2 + x and give g.\nAnswer: -16384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289186.\nAnswer: 2, 144593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1299 + 1300. Which is the biggest value? (a) v (b) -2 (c) 136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - a + 31, 2*j - a = 17 - 0. Suppose -2*h - 2 = -j. Solve -2*g + 0*d - d - 7 = 0, -5*g - h*d = 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - ((1 - 0) + -2). Calculate the highest common divisor of r and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1438, 1435, 1430, 1423, 1414?\n\"Answer: -f**2 + 1439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 - 35 = 0. Suppose 37 + 11 = 8*h. Let q = b - h. Solve q*i + 0 = -9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -17348*z**3 + 7*z**2 + 48*z + 270. Let n(i) = -8675*i**3 + 4*i**2 + 25*i + 135. Let r(a) = 7*n(a) - 4*v(a). Find the second derivative of r(l) wrt l.\nAnswer: 52002*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a centimeter in micrometers?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 + 1)\/(-7))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 - 11*c - 7. Let v = 7 - -1. Let i(f) = f**3 - 9*f**2 + 9*f - 1. Let j be i(v). Let s(n) = -3*n**2 - 6*n - 4. What is j*s(z) - 4*h(z)?\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (399\/5985)\/((-5)\/840)?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 2, x: 6, e: 3, z: 3}. Give prob of picking 1 z and 1 c.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1658 + 1662. Sort i, 1\/9, 0.2, -0.87 in increasing order.\nAnswer: -0.87, 1\/9, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106153?\nAnswer: 19, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2 + 0 - 1. Does 3 divide i + (23 + -2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.050284 - -0.050261883. Round d to seven dps.\nAnswer: -0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:47 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7345 and 66820403.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -828477?\nAnswer: -828481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -14. Let q = 121424 - 121365. Sort l, -3, q in decreasing order.\nAnswer: q, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 41 = 3. Does 12 divide 2*(-2)\/(-4) - a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15830.\nAnswer: 2, 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i - 2. Let k(g) be the second derivative of -g**4\/6 - 5*g. Determine k(t(d)).\nAnswer: -72*d**2 - 48*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-5 - 11) + (-120 - -124) + (-13 - -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 6*t - 14. Suppose -14*g = -12*g - 4. Solve 0 = -g*v + 3*z + 1, -2 = v - 6*z + t*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 143990 in descending order.\nAnswer: 143990, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 1. Suppose -5 = -2*r + r. Suppose 0 = -v + r - 3. Suppose v*s = -3*f - f - 2, 5*s - 1 = -4*f. What is t(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/37))**(-49)*(w*(w\/(w\/w**(4\/17)))\/w*w)\/(w**(-1)*w) assuming w is positive.\nAnswer: w**(2443\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 + -378. Let p = m - -187. Sort -3, 2, p in descending order.\nAnswer: 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2\/13, 47, -20\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -306*f**5\/5 + f**2\/2 - 749*f - 930. Find the second derivative of w(o) wrt o.\nAnswer: -3672*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38159*l**2 - 38830 wrt l.\nAnswer: -76318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Suppose -5*c + 3*s + 24 = -3*c, 3*c - 26 = 2*s. Give q(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.3, 4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143383365*n**4 - 160451147?\nAnswer: 573533460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:52 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -5920257?\nAnswer: 2\/1973419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - 2 - (-10 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9492 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43091622611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1. Let x(v) = 64*v + 14. Let w(k) = 3*c(k) - x(k). Let y be w(-7). Suppose -3*o = 4*l - 591, 3*l - y = -3*o + 157. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12290005 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 1. Let n(u) = -3*u**2 - 3*u - 1. Let m(k) = -i(k) - n(k). Let v = 1 - 3. Let a be m(v). Solve -g = -3 - a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z - 20 = 0. Let u(g) = -4*g**2 - 5*g + 1. Let f = -7 - -10. Let d(p) = -2 + f*p + p + 1 + 3*p**2. What is z*d(h) - 4*u(h)?\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -480 + 482. Suppose 5*b - 20 - 9 = -l, 3*l + 2*b - 22 = 0. Which is greater: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvj when three letters picked without replacement from {d: 2, v: 1, p: 1, q: 1, j: 1, b: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 38 = -2*g, -x - 60*g + 23 = -63*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106358230 rounded to the nearest one hundred thousand?\nAnswer: 106400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.424461 micrometers to centimeters.\nAnswer: 0.0008424461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 22 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Let b(k) = -k**2 + 5*k - 1. Let a be b(o). What is the units digit of 44\/8 + a\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.7 - 34.11. Let w = 1.49 - x. Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593 + 8*i**2 - 593.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 271*k**4 - 4*k**3 - 3*k - 1003. Let l(b) = b**4 - b**3 - b - 11. Let o(f) = 3*l(f) - x(f). What is the derivative of o(n) wrt n?\nAnswer: -1072*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**1)\/z**(-3))**(34\/3))**15)**(-1\/40) assuming z is positive.\nAnswer: z**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**3 + 6*n**2 - 36*n + 80. Let j be w(2). Let u = -1 - -0.995. Which is the second smallest value? (a) u (b) j (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(275) + -5)*5.\nAnswer: -50 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14)*63\/(-27). Let p = -0.6 + 1.1. Sort l, 1\/3, p in ascending order.\nAnswer: 1\/3, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -50. Let n be ((-136)\/(-204))\/((1 + 30\/(-18))\/(-4)). Which is the closest to -0.1? (a) r (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2)*140\/4. Let j = v + -15. Suppose 45 + 250 = 5*a. Calculate the remainder when a is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**6\/6 + 2*q**5\/5 - q**4\/4 - 1050. Factor o(j).\nAnswer: -j**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 4*a**2 + a + 8. What is the remainder when 152 is divided by s(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/33)*z*z*z\/(z**(-2)\/z))**(-4\/19) assuming z is positive.\nAnswer: z**(-800\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(17) + 1 - sqrt(17) - (-4*sqrt(17)*5 - sqrt(17))) + sqrt(1700) + 2*sqrt(1700)*-1 + (sqrt(1700) + -1)*6)**2.\nAnswer: -660*sqrt(17) + 74077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c - 6 + 211*c**2 + c - 209*c**2. Let u be k(-7). What is the highest common factor of u and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-30 + 33 + 19)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 18 = 2*i. Suppose 3*g - i = -0. Let b(u) be the second derivative of u**4\/6 - u**3\/3 - 2*u**2 + 21*u. Calculate b(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 0*u**4 + u**4 + (3*u**3 - u**3 + 0*u**3)*(0*u + 0*u + 2*u) - 1640*u**4 - 834*u**4 - 391*u**4 - 15*u**4.\nAnswer: -2874*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0, 61282?\nAnswer: 61282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -310*h**2 + 136*h**2 + 129*h**2 + (1 + h - 1)*(h - 3*h + 3*h).\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 n when three letters picked without replacement from {e: 1, n: 1, d: 1, c: 2, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 162309928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14.7373 * -0.383\nAnswer: -5.6443859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3926 is divided by 1168?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331320 = z + y, 3*z + 0*z - 993952 = 5*y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 429072 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 8*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiirpyihiiiiiieyii. Give prob of sequence yeyy.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpd when three letters picked without replacement from {d: 14, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-69 - (-12 - (-15 - 3 - (-2 + -9)))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 179348821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 752 - 755. What is the closest to -0.7 in -0.4, a, 1\/5, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**3 - c**2 - 2*c - 1. What is the remainder when h(2) is divided by (9\/12*-4)\/((-3)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*j - 3*j. Calculate the common denominator of (3\/((-24)\/428))\/(-4 - -9) and (-2)\/((6\/j)\/(-1)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*180\/240?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 63 + 0\/(7 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -32137*w. Let y(x) = 667*x. Calculate p(y(l)).\nAnswer: -21435379*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a66 + 3?\nAnswer: -a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*q**5 + 2276*q**2 + 31896*q + 2?\nAnswer: 160*q**3 + 4552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -52*x**3 + 2*x**2 - 1. Calculate y(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let k(p) be the first derivative of -13*p**2 - 91. Calculate k(f(u)).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 4. Let i be c(0). Suppose 21 = 4*a + 1. Suppose -a*y + 7 = w, w + y = 4*y - 1. Solve i*q - w*q = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -347 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233222, 233223, 233224, 233225?\nAnswer: 233226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(44)\/sqrt(16) + -3)**2.\nAnswer: -9*sqrt(11) + 141\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9072)\/540)\/((4\/(-8))\/((-6)\/((-90)\/(-25)))).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -108, -113, -118, -123, -128, -133?\n\"Answer: -5*m - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-29624800)\/(-700) - 8\/7?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4)\/14 - 447*1\/(-21) and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*i - 152*i + 140*i)*(2 - 1 + 0)*(31 - 16 - 14)*(1 + 4 - 1).\nAnswer: -556*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/60)\/((-4)\/(-25))*(-1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:41 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 4*u**2 + 8*u - 6. Let x be z(3). What is the highest common factor of 15 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s - 14. Let c = s - -17. Solve -c*r + 3 = 0, 2*t - 3 = -2*r - 3*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -134. Let q(m) = m**3 - 2*m**2 - 14*m + 20. List the prime factors of q(t).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 19, r: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -2410702.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3542549 is divided by 2392?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = l + 4, 5*l - 2 = -2*q - 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 0.4.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13415 + 0.02415. What is the nearest to -16 in -3, d, 0, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39695 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:58 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6976664.\nAnswer: 2, 17, 43, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c = 30*c + 15. Let m = 17 - c. Let f be m*115*4900\/7. What is f rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -127.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(250) + sqrt(10)) - sqrt(40)\/sqrt(196))\/((sqrt(350)*-1)\/(-2*sqrt(112) + sqrt(7))).\nAnswer: -169*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 728 and 1368836.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -j + 16, -2*j - 230*o + 26 = -229*o. Solve l = 4*m + j, 2*m + 2 = 3*l - 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blebbombmmmbo. What is prob of sequence ebm?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from lqgllgqglqlwxlxgq?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 564 and -12.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**3 - 303*k**2 + 7497*k + 7803 = 0.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11171938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*o - 2*t + 20, 10 = 2*o + 3*t. Suppose 0 = -o*n - 3*j - 523 - 1689, -4*n - 1772 = 3*j. Round n to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1844836 + 25843231\/14. Let k = 1117 - x. What is the common denominator of k and 79\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 2*n**2 - 2*n**2. Let i(l) = -16*l**2 + 133 + 4*l**2 - 133. What is i(z) - 10*u(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 6*w + 3*w)*(4*w - w - w) + (5 - 6 - 10 - 2*w)*(w + 11 - 11) as x*w + a*w**2 + m and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42871 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + -3.99. Let z = 56 + -52. Let v = 2.4 + -2. Which is the third smallest value? (a) z (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.132403 centimeters in meters?\nAnswer: 0.03132403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3851990512 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121 + -14?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35555, 71113, 106671, 142229, 177787, 213345?\nAnswer: 248903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1999793486116.58 and -1.\nAnswer: -1999793486117.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(12)\/(sqrt(6) + sqrt(24)\/sqrt(4))))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200490737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -30. Let b = o - -19.6. What is b rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 22483125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -68*b - 2. Let o be w(-3). Suppose 3*n - h = 948, -4*n - o + 1466 = -4*h. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2 - 5. Let s(z) = z - 8. Let g be s(4). Is f(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/(-234) - (-1052)\/36. Solve 4*j + 41 = f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42*43.4\nAnswer: -1822.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.144304 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20006271 is divided by 20006270.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9)**32)**25 assuming y is positive.\nAnswer: y**7200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*22\/12*2. Let v = g + 13. What is the third derivative of -5*c**4 - 26*c**2 + 0*c**4 + 33*c**v wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625302*u - 552584*u + 1177869*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 - 15. Let d(f) = -2*f + 12. Let g(c) = -2*c + 10. Let q(l) = -5*d(l) + 6*g(l). Give a(q(y)).\nAnswer: 28*y**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p + 90*p - 47*p + 35 = 0. Factor 4\/3 - 2*g + 10\/3*g**p - 12*g**4 - 16\/3*g**2 + 44\/3*g**3.\nAnswer: 2*(g - 1)**4*(5*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(6*sqrt(330)*-1)\/sqrt(10))\/(2*3*sqrt(11) + sqrt(22)\/sqrt(32)))**2.\nAnswer: 62208\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by -15*(4 - 92\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 105 = 2*s. Let m(k) = 3*k**2 - 3*k. Calculate the remainder when s is divided by m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdj when three letters picked without replacement from ufdjvffkkffufffu.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -6\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 424231?\nAnswer: -424224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 28 + 143440*k - 143440*k.\nAnswer: 3*k**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116574kg in micrograms?\nAnswer: 116574000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*u - 131, u + 5*v - 215 = -4*u. Let a be -6*(2 - 86\/u). Suppose -3*w = -22 + 37. What is the closest to a in -2\/9, -2\/17, w?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = 0. Suppose h = -5*x + 1 + 9. Suppose 2*b - 66 = -3*i, 22 = -x*i + 3*i - 5*b. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 + (3 - 2 + 1)*(8 - 7 + 2) + 0 - 1 + 3)*(-i**2 - i**2 - 2*i**2).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -217 + -36?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 2250.\nAnswer: 9000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 245*p**4 + 1356*p**4 - 2519 - 60803*p**3 + 80*p**4 + 60803*p**3 with respect to p.\nAnswer: 6724*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24347648939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98.0274 - 143.9314. Let x = 242 + i. Round x to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67033.41 - -67325. Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4219 is divided by 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16063, -29642, -43221, -56800, -70379, -83958?\nAnswer: -97537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 668123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 140174281 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23042 by 5980.\nAnswer: -11521\/2990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {w: 1, n: 2, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 394 + -392. Factor 3\/2 + l - 1\/2*l**a.\nAnswer: -(l - 3)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let q(l) = -4*l**2 - 405. Calculate q(h(g)).\nAnswer: -4*g**4 - 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2220506, -2220507, -2220508, -2220509?\n\"Answer: -v - 2220505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, 388, -2, 26, -8.\nAnswer: -8, -4, -2, 4, 5, 26, 388","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-24))\/((6890\/(-897))\/106).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -718*s + 8. Let t(d) = 7*d**2 - d. Let o(k) = k + 4. Let z be o(-3). Let f be t(z). Let y be x(f). What is y rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16401\/8 + -20443\/10. Which is smaller: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 9. Let f be (-7 - c)*(-4)\/5. Let x(k) = -2*k + f*k + 4*k. Let i(a) = -a. Give i(x(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/36 - (-16)\/(-72)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeaa. Give prob of sequence ee.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5343670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjzjzstiziziezztizzj. Give prob of picking 2 z and 1 j.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p**3 - p**2 + 1. Let u be x(1). Let s be (-3)\/15 + (-42)\/u. Solve s*f - 2*f = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 5:12 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -561600 (base 7) to base 2.\nAnswer: -11000001100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = j - 1, 130*j - 131*j - 3*h = 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11319, -45021, -101191, -179829?\n\"Answer: -11234*v**2 - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175 - (281 + -120)) + (3 - 3) + 2 + -35.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 - 11*v + 86*v**2 + 0 - 79*v**2 to l*v + n*v**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 45*t - 302. Let k be h(7). Let a(q) = 3*q**2 + 6*q + 23. What is the hundreds digit of a(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -359 + 215. Calculate the common denominator of 2\/8 - 393\/f and -59\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381 - 381.2. Which is the closest to -1? (a) 5 (b) n (c) -5 (d) -2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3315 + 3314.9. Suppose 0 = r + 4*p - 6, 5*r - 2*r = 4*p + 2. Which is the closest to -3? (a) 6 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-6)\/(-20) + (2 - 39\/18)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252462474 divided by -488322.\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176322*f - 88119*f - 88161*f.\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/60 + 7*m**4\/24 + 2*m**3\/3 + 2*m**2. What is the least common multiple of 4 and y(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 52. What is the remainder when (6\/(a\/(-91)))\/((-14)\/(-42)) is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.965*-0.04.\nAnswer: -0.0386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 58*c**2 + 0*c - 135\/2*c**3 + 0 - 15\/4*c**4 - 1\/12*c**5. Suppose i(n) = 0. Calculate n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95469 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*i - 27. What is the remainder when 101 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*o + 4*c, -2*c + 9 = 2*o + 7. Let a = -2 - -2. Suppose 0 = -d - r + 148, -o = -r - a*r. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*g**2\/7 + 514*g\/7 + 156\/7.\nAnswer: -2*(g - 26)*(10*g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 3*r - r**2)*(-14*r + 51*r + 5*r)*(-4 + 6 + 1) in the form w*r + o*r**2 + a + d*r**3 and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219 - 209. Let a be 5\/h*-1*(0 + 10). Let l = 69 - 209\/3. Sort a, 0.5, -1, l in increasing order.\nAnswer: a, -1, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 4*w + 1 + 7, -4 = 5*a + 2*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j. Let t(y) be the second derivative of 0 + 0*y**2 + 1\/3*y**3 - y. Determine v(t(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 175 = -5*w, -w + 4*h - 14 = -5 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x**2 + 51*x**2 + 6*x - 61*x**2 as b*x + l*x**2 + u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15)*k\/(k**0*k))**(1\/7) assuming k is positive.\nAnswer: k**(-2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - 2*q**2)*(2*q**2 - 3 + 2 - 2) + (55*q**2 - 117*q**2 - 15*q + 61*q**2)*(-2 + 2 - q**2).\nAnswer: -3*q**4 + 15*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106.0733 + -0.0733. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12880*j + 90255. Determine p(7).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 16) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 676 = -240. Let u = 111 + h. Solve y + w = 0, -y + 0*w + 1 = u*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4\/4 + 8*y**3\/3 - 9*y**2\/2 + 2*y - 14. Let n be r(-9). Suppose n*q + 2*q - 220 = 0. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307708096.\nAnswer: 2, 29, 317, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 3327780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 6*k = 7*k. Let f(d) be the second derivative of -3*d - 1\/90*d**5 + k*d**2 + 0*d**3 + 0*d**4 + 1\/135*d**6 + 0. Factor f(v).\nAnswer: 2*v**3*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6599.7 > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4800 = 1064*o - 505*o - 439*o for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23684.5 + 23685. Which is the third smallest value? (a) -48 (b) 1\/6 (c) -0.01 (d) -1\/6 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 0)*(3*c - c**2 - 3*c)*(-3*c + 6*c - 7*c) in the form k*c**2 + z*c**3 + l + f*c and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9151 + -9117. Calculate the greatest common divisor of b and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 8*z + 2. Calculate the lowest common multiple of 30 and f(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16707\/5 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (297\/45 - 9)*(-5)\/3. Is h < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1996516 (base 11) in base 15?\nAnswer: 465e82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7531?\nAnswer: 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8877792 and 528?\nAnswer: 8877792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.049 - 0.092. Let r = m - 0.957. Let q = -0.141 + -11.859. Which is the second biggest value? (a) 2 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38205058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125214 (base 8) to base 13.\nAnswer: 16b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*b - 1)*(2*b**4 - b**4 + b**4) + 0*b**5 + 0*b**5 - 5*b**5.\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:16 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y + 8. Suppose y*u + 1 = -3*v + 5, 0 = -v. What is the units digit of 45*1\/(5\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 9*a - 3. Give k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - 392 = 0. Suppose 0 = 3*n - n - 28. Calculate the highest common divisor of t and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 5*t**2 - 9. Let m be p(7). Let n = m + -138. What is n rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Suppose 4 = i*s + 3*n + 7, -4 = -5*s - 2*n. What is b in 4*b**2 + 2*b**4 + 10*b**5 - 9*b**5 - 3*b**2 - 3*b**3 - 5*b**s + 4*b = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 - 4*f - 2. Let i be w(-2). What is the remainder when 23 is divided by -4 - i - (-3 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777240413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*h - 228, 4*q + 286 = -h + 49. Let n be (-8)\/6*15\/q. What is the third biggest value in n, -9, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 413\/3 + (-84)\/(-63). Suppose 5*a = -g - 3*g + m, 0 = -2*g + 4*a + 76. Let x = -3 + g. What is the remainder when x is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = -12. Let v be (r + (-2 - 0))*1. Suppose 4*t - 3*b - 45 = 0, 4*t + v*b - 66 - 9 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 greater than 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 (base 12) in base 7?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 + 2d1d?\nAnswer: 2cec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*b + f - 6, -2*b + 3*f + 9 = 0. Suppose 0 = j + b*j - 588. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -134*v + 7. Is l(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 4*t**2 + 4*t**2)*((t + 0*t + 0*t)*(-3 + 2 + 3) - 18*t + 6*t + 4*t).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*a, 6*y - 3*y - 5*a - 17 = 0. Let v(d) = -2*d**2 - 2*d - 1. Let u be v(-1). Let j = y - u. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + 1)*-5)**2 - (sqrt(8) - (sqrt(392))**2)) + 2.\nAnswer: 48*sqrt(2) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t. Let v(s) = -s**2 + s. Give -3*v(h) + z(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and -753419463898.6?\nAnswer: 753419463887.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2269 - 610. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 16*g = -5680. Suppose 4*j = -4*x - 5364, x = -2*j + 153 - g. Let z = j + 152096\/113. Are -1 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2143801 is divided by 33496?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/9795 and -79\/50?\nAnswer: 97950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 6. Let d = 1473 + -1464. What is p(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 84 = 9*c. Suppose 0 = -2*t - 2*n - c, 2*t + 4 = n - 1. Let a = t - -31. What is the remainder when 133 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 920*a - 528. List the prime factors of o(4).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5958203?\nAnswer: 881, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:25 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 764, 621, 270, -295, -1080?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = -3*c + 4*i, 0 = c - 4*i + 12. Suppose c = 6*h + 13 - 43. Solve 2*u = -4*r + h*r - 2, 0 = -4*u + 5*r - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1242 - -1244. Solve p*r - 2*l + 14 = l, 0 = 2*r - 2*l + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -9)\/4 + 0. Suppose -4*c = z + 26, -v*c - 8 + 0 = 0. Let d = z + 18. Solve 3*i = i - d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/30 + 2*w**3\/3 + 6*w**2. Let n be j(-3). Let s be (-259 - -9)\/(1\/n). What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {v: 3, m: 11, i: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25688)\/(-1521) + (-34)\/18 + 2. Solve p + 4*p = -t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-2)\/7*(-77)\/88?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3 + 754*m**2 = 0. What is m?\nAnswer: 0, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -5*h + 7*h. Let j = h + -75. Solve -q + j = 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1098279, -1098277, -1098275?\n\"Answer: 2*g - 1098281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, 3, 1\/4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:27 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 = -3. Let y = i - -9. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c + 2*j = 183, -3*j = 0. Let t = -60 + c. Let q(w) = 13*w + t - 1 - 2*w. Let l(m) = -m. Determine q(l(h)).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1900.864 and -3?\nAnswer: 5702.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3617\/30 + -1189\/10. Find m, given that u*m - 1\/3*m**2 + 0 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 - 34*g + 90. Determine t(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2361 (base 7) to base 2\nAnswer: 1101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 8210.\nAnswer: -3\/8210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-8)\/28 + (-1500)\/(-8925))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a0 (base 16) in base 3?\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 195. Let q be l(0). Let a = 298 - q. Suppose -3*g + 12 = 0, 2*j - a - 25 = 3*g. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10*5)\/(8\/4). Let k = -18 + y. Suppose -4*q + 13 = -k*q - 5*x, q = -5*x - 11. Put 0.5, q, 3 in increasing order.\nAnswer: q, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4839 + -195.6379. Let l = r + 0.154. Let a = 190.891 + l. Round a to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161420802?\nAnswer: 2, 3, 1063, 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80\/(-680) + 2310716\/68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096*k**2 - 369*k**2 - 364*k**2 - 365*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 926108884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 27*w + 27*w - 4*w**3 with respect to w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 4. Let b be f(3). Let s = b - -27. Suppose v - 2 = 2*v - 2*r, 0 = -3*r + 15. Calculate the highest common factor of v and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 - 6035*l + 18030. What is u(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14790 is divided by 2463.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -896 + 862.938. Let p = -0.138 + b. Let w = 33 + p. Is 5 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 20 + 70*a - 73*a - 18.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 7*z - 8. Let r be k(-6). Let l be r*2\/32*-6. Let d = 912.7 + -913. Which is the biggest value? (a) -1.4 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 11. Let l be f(6). Let o be (1\/(-3))\/(6\/32). Let a = o - -41\/18. Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 11*d - d**3 - 339 + 339.\nAnswer: -d**3 - 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -637*c**4\/12 - 1637*c**2 - 6437*c. Differentiate m(j) wrt j.\nAnswer: -1274*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 + 26*u - 129. Is c(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.13, -30, 0, 0.1, -35, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -78 in decreasing order.\nAnswer: 18, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - 2*a**2 + 4*a**2 + (-3 + 3 + 1)*(1 - 1 + 3*a**2) + a**2 - a**2 - 4*a**2 - 2.\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180292 is divided by 295021?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = -3*c. Let r = 473.7 + -451. Let z = r - 23. What is the closest to c in z, -5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(12)\/(4*sqrt(4))*-4.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 + u - 1. Let i = -29 - -26. Let n be -4 + (0 - -5) - i. Suppose 5 - 1 = n*z. What is r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 7 = -3*t + 5*w, 5*t = -2*w + 55. Let r(x) = -8*x - 117. Let n be r(-27). What is the highest common divisor of t and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-15\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -22\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + 2368\/(-112))\/((110\/(-420))\/11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -8 - (4 - 8) - 0 - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 184*k - 173*k. What is the least common multiple of 2226 and k?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1413760 + 4?\nAnswer: 1413764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1116201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4 + 1 + 0*m**2 + m - 2\/3*m**3. What is r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 7. Let v be b(5). Solve 6 = -0*d + 4*d - v*y, 4*y - 12 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:37 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 1. Is (-7)\/7 - (-7 - x) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6\/61 (b) -38 (c) 3\/8 (d) 1\/4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {t: 2, z: 10, s: 6, o: 2}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17*s - 9 + 3 + 8 + 346*s. Let j be x(5). Round j to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + b = -9, -b - 9 = -14*q + 9*q. Let o(v) = v**3 - 2*v**2 + 4*v - 24. What is o(q)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -23. Suppose 1 - t = -z + 2*s, 0 = -z - 5*s. Suppose 105 = z*i - 75. Calculate the remainder when i is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3848, -7272, -10694, -14114?\nAnswer: -17532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 0*a - 19053 - 32505. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/56)\/(5\/35). Put o, 1, -1 in descending order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31817647973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwvw when four letters picked without replacement from ggvvwwwwwwwvwwwwwwww?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 66 - 38 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505529.9 days to nanoseconds.\nAnswer: 43677783360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 5874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -894, -1342?\nAnswer: -1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-65)\/(-9) - 2\/9. Let s = a - 4. Suppose 0 = -3*n + 2*p + 22500010, -s*n = 3*p - 15763329 - 6736656. What is n rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - f - 7. What is the remainder when z(-7) is divided by 18\/(-189) - 5365\/(-105)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14292*q + 3826 wrt q?\nAnswer: -14292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.05726kg to tonnes.\nAnswer: 0.03105726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 0.12.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 19. Let s = 3.9 + -4. What is the smallest value in -3, s, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8555*d + 76204 = -18034 - 35515 + 18538 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t**5\/7 + 14005092*t**4 + 196071270*t**3\/7 + 98035632*t**2\/7 = 0. What is t?\nAnswer: -16339272, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1260652 by -17.\nAnswer: 74156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-4539.\nAnswer: -907.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25700728 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 0 - (-63)\/7. Suppose 2*j - 5*z - 19 = 3*j, 0 = a*j + 4*z - 10. Calculate the remainder when j is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 13, 70, 183, 370, 649, 1038?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -18*z + 99 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -8 + -45 + 3 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474 - 107*r + 53*r - 1423*r - 474.\nAnswer: -1477*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.063? (a) -2 (b) 0 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 17*c**2 - 74*c + 421. What is b(14)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 639*n**2 - 427*n + 6. Let r(b) = 213*b**2 - 151*b + 2. What is 17*r(o) - 6*y(o)?\nAnswer: -213*o**2 - 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 18 - -12 - -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 6:36 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*36\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.7, 6, -3, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 15*m**2 - 59*m - 324. Determine g(-12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4273*v + 158059. Determine r(37).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 5*a**2 + a**2)*((-4*a + 4*a + 2*a)*(1 - 4*a - 1) - 5*a**2 - 5 + 5).\nAnswer: 13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 618\/412*(-3)\/((-27)\/2). Which is smaller: 5\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 28. Let g be k(8). Let l be (29 - 32 - (5 - 1)) + (-42)\/(-3). Solve 0 = -g*u + u + 3*f + 6, -2*u + l = -5*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.001 + 0.201. Which is the closest to -0.1? (a) 5\/6 (b) -10 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaaafffaafaefa. Give prob of sequence ff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o. Let r be z(0). Suppose r = -4*h + h + 51. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*h + 309 - 99 = -c - 61, 0 = -3*h + 4*c + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.63238l to millilitres.\nAnswer: 75632.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-567)\/(-252)*4\/(-3). Let v(k) = 2*k**2 + 2*k - 6. Calculate v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence winw when four letters picked without replacement from wwiiiwuqnwiw?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2*(-16632)\/(-162). Calculate the greatest common divisor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 2*k - k + 7*k**2. Let m be d(-1). Let p = -69 - -69. Sort m, -5, p in ascending order.\nAnswer: -5, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46613?\nAnswer: 7, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.53 (b) 223 (c) -1\/377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 8:08 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14193.93 months to years.\nAnswer: 1182.8275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -555*v. Let k(g) be the first derivative of -7*g**2\/2 + 692. What is k(u(i))?\nAnswer: 3885*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 22312303102?\nAnswer: -22312303033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -c - 4*c. Let u(i) = -i**3 + 4*i**2 - 4. Let h be u(c). Suppose -5*q + h*n = -5, -3*q + 5*n = n. What is the least common multiple of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 83*d**2 - 42*d + 35. What is the remainder when f(-42) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, -7, 2 in increasing order.\nAnswer: -208, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 7*r**5\/20 + 3*r**4\/4 + 7*r + 7. Let n(w) be the first derivative of l(w). What is the third derivative of n(z) wrt z?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -105 + 140*90\/420.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 10:17 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 21 + 102. Let r be 2660\/25 + 48\/30. What is the highest common divisor of k and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3619, 3621, 3625, 3631, 3639, 3649?\n\"Answer: a**2 - a + 3619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {f: 4, j: 3, x: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x = 38*x - 16. Let j be x - (-1 + 3) - (-63 + 0). Let a = -35 + j. Calculate the lowest common multiple of 4 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h**3 - 37*h**4 + 78 - 68*h - 80 - 14*h**3 + h**2 to the form k*h**4 + o + t*h**2 + c*h**3 + p*h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 4*u**2 + 3*u**2 + 4*u**2 - 4*u**2 - 4*u**2 + (-2*u**2 - 3*u**2 + 3*u**2)*(-5 + 0 + 4) + 3*u**2 + 0*u**2 - 4*u**2)*(47*u + 48*u - 93*u - 10).\nAnswer: -10*u**3 + 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -13*i + 140. Determine r(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -444*b**4 - 1 - 11*b**2 - 12*b + b**3 + 443*b**4 + 10*b as v*b + j*b**4 + s*b**3 + x + n*b**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmqumqmmquqmq. Give prob of picking 2 q and 2 u.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 614 - 309. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 12*i + 3. Let x be b(12). Suppose -15 = x*d - 3. What is the tens digit of (1*17)\/(d + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1495166 times -0.1\nAnswer: -149516.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*x, 5*x = 3*q + 1 - 0. Let r be (3 - (q - -4)) + 135. Calculate the greatest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 994156 and 19364?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.124543 micrometers in nanometers?\nAnswer: 6124.543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/8)\/((4\/(-42))\/(26\/(-1274)))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.43 + 21.96. Let y = v + -99.13. Round y to 0 decimal places.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 + 68. Let l = 50 + p. Solve -5*j = -3*x, -x - 5*j + 11 = -l*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 7*q - 10. Suppose -j + 4 - 1 = 0. Let r be x(j). Let w = 1 - 2. Which is the closest to w? (a) r (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2080 = 1124*a - 1644*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1359\/(-302)*(-2)\/537. Which is greater: -0.3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10 - 15 + 30 + 406*r + 1.\nAnswer: 406*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 280.5191mm?\nAnswer: 280519.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -10 + 796586\/255 - (3 - (-188)\/(-60)) is divided by 777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 - 5*o**2 - 4*o + 6. Suppose 6 = -3*p - 3*r, -6 = 5*p + 4*r + 6. List the prime factors of j(p).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*j + 1, 0 = -5*l - 5*j + 35. Let g be (6\/4)\/(1\/l). Suppose 2*k - 5*c - g = 4, 3*k - 4*c - 37 = 0. What is the highest common factor of 95 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62138*z**3 + 10901*z**2 - 5 wrt z.\nAnswer: -372828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*a + 1511*a = -104750 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79287861, -79287862, -79287863, -79287864, -79287865?\n\"Answer: -f - 79287860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:43 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 18 + 3)*(q + 0*q + 0*q)*(-q**2 + 0*q**2 + 4*q**2) to w*q**2 + n + s*q + z*q**3 and give z.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -304, -426, -564, -724, -912, -1134?\n\"Answer: -j**3 - 2*j**2 - 109*j - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**4\/4 - 885*n**3\/4 + 9521*n**2\/4 + 81129*n\/4 + 66861\/2 = 0.\nAnswer: -3, 17, 874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u - 4. What is k(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:00 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 156*f**2 - 3*f + 4. Suppose -10*y + 25 - 15 = 0. Is i(y) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.59 and -10697.3?\nAnswer: -134679.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91389*c**2*s + 14*c**2 + 2*c*s + 191*c + 665*s wrt c?\nAnswer: -182778*s + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/41)\/j)\/j)\/j*j**(2\/31)*j\/(j\/j**12*j)*j**(-4\/9))**(-2\/45) assuming j is positive.\nAnswer: j**(-173216\/514755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35978567347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 70742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4112 - 405305?\nAnswer: -401153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:42 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)\/(sqrt(14)\/sqrt(2)*6))\/((sqrt(96) - (1*sqrt(96) + sqrt(96))) + sqrt(6)*2*6).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:26 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 2:21 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.66 in 2\/179, 4\/3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = 3*b + 165. Suppose 0 = 4*x - 21 + 1. Suppose h = x*h - b. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34103094539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*r - 1033 - 17. Suppose -a - 11 = w + 4*a, 0 = -2*w - 2*a + 2. What is the least common multiple of w and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/7668 and 27\/1562.\nAnswer: 84348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66.864 + 67. Let k = v + -0.036. Let i = -111\/671 + -1\/61. Which is the third smallest value? (a) i (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251381 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0640903786851 and -0.3.\nAnswer: -0.3640903786851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/2 + -3 + 2. Suppose h*n - 1 = -25. What are the prime factors of (n\/12)\/(2\/(-184))*2?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 315, -3, -4, -951, 1, -2 in decreasing order.\nAnswer: 315, 1, -2, -3, -4, -951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 8*j - 2*j)*(1 - 3*j - 1)*(-4496 + 4496 + 247*j).\nAnswer: -3705*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c6a + 2?\nAnswer: c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*m - 11*m. Suppose 3*q + m*t - 11 = 0, -t + 3*t = -4*q + 14. What are the prime factors of -1 - (-77 - (-3 - (0 - q)))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -437906.\nAnswer: -1\/437906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, -3, -5.\nAnswer: -5, -3, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + u**3 + (2*u**3 + 4*u**3 - 4*u**3)*(3 - 3 + 2) + 0*u**3 + 2*u**3 - 3*u**3 + (0*u + 0*u + 2*u)*(0*u**2 + u**2 - 2*u**2).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-16) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331\/(-66)*9*56\/(-308)*1*-1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -170947, -170954, -170961, -170968, -170975, -170982?\n\"Answer: -7*j - 170940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3733, -8\/3, 0, -3\/8, 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -4*l + 509. Suppose 0 = 4*v - 3*n - 114 - l, -v + 39 = -4*n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccffcfccc. Give prob of picking 3 c and 1 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from apppxxpxapxpp.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 101.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/19)*q**(-1\/5)\/q*q)**49)**(38\/3) assuming q is positive.\nAnswer: q**(5978\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k - 60. Let d be x(9). Solve g = -0*g - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -101*g - 91*g + 183*g. Let k = 19 + -23. Sort 5, k, g, -3.\nAnswer: k, -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 68, 5, 1, -25890 in descending order.\nAnswer: 68, 5, 1, -5, -25890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3631 greater than -3626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/21 + -13\/42. What is the nearest to r in 4, 2\/3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1106.9999993802 + 1107. Round a to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75343 and 190273?\nAnswer: 11226107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1717558 = 2*i - 6856562, 2*i - 4 = 0. Round h to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 19*c**2 - 9*c - 5. Determine d(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:30 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3) + (-5 - (-160)\/36). Which is bigger: -134\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1667 (b) 0 (c) 9 (d) 0.4 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -1 + 3. Let w = -27 + x. Calculate the common denominator of 83\/78 and (-2)\/8 - (-203)\/w.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*u + 17*u - 7*b + 17, 0 = -2*u - 5*b + 15. Which is greater: u or -261?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 268 = -3*f, -120*r - 5*f + 101 = -119*r. Calculate the highest common factor of r and 793.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14740 = -11*l + 3399. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 10*r = 123*g - 58*g - 137, -36 = 4*r - 4*g for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 2768\/(-272) - (-2350)\/170.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272865232.\nAnswer: 2, 17, 19, 37, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + -3*((3*sqrt(187)*1)\/(sqrt(110)\/(sqrt(20)\/sqrt(2) + sqrt(10)) + sqrt(11)))**2 + -4.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -92, 13 in ascending order.\nAnswer: -92, -51, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(3993) + -4*sqrt(132))\/(sqrt(33)\/(sqrt(3) + (sqrt(96)\/sqrt(4))\/sqrt(8))))**2*3.\nAnswer: -14112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1696, -4635, -9416, -16045, -24528, -34871, -47080, -61161?\n\"Answer: -k**3 - 915*k**2 - 187*k - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/3 (b) 449 (c) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1002 - -1008. Suppose -4*x = 3*j - 6260, o*j = 9*j + 2*x - 6250. List the prime factors of j.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/2 + 3646232*h + 6647503898912 = 0 for h.\nAnswer: -3646232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 2, c: 2}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5014 is divided by 721?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014 times -0.3?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044 times -44?\nAnswer: -89936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6 + 15 - 10*r**2 + 3 + 12*r**2 - r**2. What is k(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/12 - 2*k**3\/3 + 5*k**2\/2 + k. What is the remainder when 31 is divided by p(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4 + 467*h**3 - 52338*h**2 - 520268*h + 1246168 = 0. What is h?\nAnswer: -11, 2, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -355 - -364.504. Let z = 6.7 - 6.604. Let i = u + z. Round i to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -30b870?\nAnswer: -30b870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/7 + 100072737*g**2\/7 - 200145462*g\/7.\nAnswer: -3*g*(g - 33357577)*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, m: 3, e: 5}. What is prob of picking 1 m and 3 z?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-seven halves of a second?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 50*c**2 - 99*c - 239. Determine i(52).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/3*36\/(-15). Suppose -72 = 5*y - g*y. Calculate the common denominator of -109\/6 and 2\/(-3)*(-801)\/y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-46)\/8*6\/(-5). Let v = f - 47\/5. Suppose -5 = 2*z + 3*z, -5*c + 4*z + 9 = 0. What is the closest to c in 2, v, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 10:11 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjcj when four letters picked without replacement from ccjcmcjbjjm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(126))\/sqrt(7))\/(-1*sqrt(9)*-6) + 3.\nAnswer: sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -101*d - 60. What is the tens digit of s(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424323 + -20?\nAnswer: 424303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*h**2 + 4*h + 6*h**2 - h**4 + 7*h**2 - 5*h + h**3 in the form t + x*h + g*h**4 + s*h**2 + i*h**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.11 (b) 0.3 (c) -1 (d) 15299\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or 983\/19?\nAnswer: 983\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306636.\nAnswer: 2, 3, 11, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2239789710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029.878 rounded to 0 decimal places?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 28. Differentiate -h + 13 - 17*m**3 - 21 wrt m.\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 429\/1610 - 6\/115. Let q be (-5 - 0\/6) + 2. Which is the third biggest value? (a) 0 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 15, -12*g - 15 = -7*g + 5*y. Let f(z) be the first derivative of -1\/2*z**g + 10 + 0*z + 4*z**3. What is the second derivative of f(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.9326 - -0.0326. Let k = 23.2 + b. What is the biggest value in -1, k, -2\/13, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+36034985\nAnswer: 36034984.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -16. Suppose -5*d + 15 = -x*b, 2*b + 0*b + 5*d + 20 = 0. Let z = b - -28. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 13 - 1. Suppose -155 = -5*k - 4*l, -3*k + g*k - 66 = 3*l. Suppose k = 4*z - z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 - 19*t**2 + 3*t**2.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -5) + (5 + -5)\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6095086888\/183 + -1758883774038841\/52809042. Let v = n + -2\/13117. Calculate the common denominator of v and 63\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 14224?\nAnswer: 14223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3 + 1266*i - 1268*i + 2. Suppose 5*k - 2*f = -23, 4*k + 23 = 4*f + 7. Calculate h(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33588\/(-1730715) - 2\/53?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068 = -g - 832 + 1883. Which is greater: g or 2117?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 2*r. What is j(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003390178 rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/9 - 75658*k**3\/3 - 6439309114*k**2\/9 + 2146612910*k - 1431108900 = 0 for k.\nAnswer: -56745, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-4 + sqrt(2592)*-5 + sqrt(2592))*1 + -1 + -2))**2.\nAnswer: 50400*sqrt(2) + 1038025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 - 37*y - 197. Let z be k(-5). Is z at most 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - -4) + 2 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2. Let q(u) = 603*u + 99. Calculate q(y(b)).\nAnswer: -603*b**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 609225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17222.0988 rounded to the nearest 100?\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -995, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -130, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153263130.\nAnswer: 2, 3, 5, 5108771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -126, -251, -378, -507, -638, -771?\n\"Answer: -a**2 - 122*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 789113326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -14*f + 2. Does 4 divide a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 77040.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*h - 0 + 14, -5*j - 4*h = 2. Let d be -4*j\/792*(-233)\/1. Let s = 31\/9 + d. Is 2 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 5. Let j be 17\/2 - 9\/6. List the prime factors of p(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2 + 125244*m + 125242 = 0.\nAnswer: -62621, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 112 = -2*k, 2*k + 2*k = 2*p + 224. Let t = -10 + 19. Let x = t - 2. Calculate the highest common divisor of x and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/84 and 101\/714.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5308 + -4710.7. Let v = -603.066 + n. Round v to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -78. Let t = -69.3386 - 0.0614. Let q = 69.3 + t. Which is bigger: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 22*w = -36, 37*p - 67*p + 35*p - 6*w - 45 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + j - 201 = 0, -3*d + 4*j = 2*j - 148. Suppose u + 17 = 2*u + 2*y, -d = -5*u - 3*y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 9. Let r be 2\/2 + (5 - 20). Let m be i(r). What is the second biggest value in m, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012311 rounded to 4 dps?\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -2. Let o = 42 - h. Calculate the remainder when o is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000043844 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -52.8 >= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 4*l**2 + 2. Suppose 0 = 18*o - 45 + 135. Let g(t) = 5*t**3 - 7*t**2 + 3. What is o*z(n) + 3*g(n)?\nAnswer: 5*n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 greater than or equal to 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 576570497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + -b72d?\nAnswer: -b74f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*l + 6, 5*l - m + 3 = 18. Suppose 2*d = -2*d + 2*y + 8, -l*d = 5*y - 6. Let t be (-2)\/(-4) + 9\/d. Calculate the highest common factor of t and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-6)*(-6)\/4. Let j = -9.62 + -0.38. Let i = 14 + j. Which is the closest to 2? (a) -0.3 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -104 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55314c - -d?\nAnswer: -55313d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 2984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/51, 2\/231, 1\/4 in decreasing order.\nAnswer: 1\/4, 1\/51, 2\/231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 = -5. Suppose -600*k + 595*k + 40 = 0. Suppose -1000000 = -k*c + v*c. Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4 - 55*s**3 - 120*s**2 + 180*s = 0. What is s?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 8*o**5\/5 + 17*o**4\/12 - 14*o. Find the third derivative of u(g) wrt g.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38966 (base 14) in base 13?\nAnswer: 4b3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aua when three letters picked without replacement from uwqauwavawawvqawqw?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 24*n**2 + 99*n - 21. Is v(15) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 280230 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -4*n + 13. Suppose 0 = 3*u + 5*l - 95, 0 = -3*l + 57 - 72. What is the remainder when n is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135.283 + -135. What is m rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, -2\/45, -31 in decreasing order.\nAnswer: -2\/45, -31, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r\/((r*(r*r**(2\/11))\/r)\/r*r*r*r))**(6\/11) assuming r is positive.\nAnswer: r**(-408\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4474\/9 in -2, 1\/16, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 12*n - 1. Let m(i) = 2*i**2 - 25*i - 2. Let w(c) = -6*m(c) + 13*q(c). Let o be w(8). Suppose -4*h + 1 + o = 0. Solve 2 = x + h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10484\/67 or -13\/9?\nAnswer: 10484\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66087783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-84))\/(432\/576)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 6. Let g(r) = -7*r + 12. Let h(n) = 2*g(n) + 5*v(n). Let b be h(4). Let d = b - -10. Solve 3*f + 4*a = f + 2, 4*a - d = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12932 is divided by 71?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176 - -176. Suppose x + 4*r + 2 = 7*r, -2*x - 3*r + 32 = k. Suppose 0 = 3*o - 2 - 58. Calculate the smallest common multiple of x and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0, 4, -1, -58958.\nAnswer: -58958, -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/9*o - 1\/9*o**2 - 17\/3.\nAnswer: -(o + 3)*(o + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2\/2)\/(10\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 113*i**2 - 99*i**2 + 4 + 195*i**2.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -2, 45, -356 in descending order.\nAnswer: 45, 8, 5, -2, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 4) to base 5.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 9*g + 3. Let v be o(-9). Suppose q - 16 = -v*q. Calculate the greatest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t - 2. Let n(p) = -6*p + 1. Let o(b) = 2*n(b) + z(b). Let k(v) = -2*v - 14*v**2 + 5*v - 3*v. Give o(k(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 2*x + 2. Let c be l(-4). Let m be (-560)\/12*-3*(-3)\/(-6). What is the highest common factor of c and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - i**3)*(-4 + 2*i + 4) - 495*i**4 + 2*i**3 - 9539*i + 9539*i to the form g + f*i + t*i**2 + c*i**3 + n*i**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 2, f: 1, z: 1, i: 1, w: 1}. Give prob of picking 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 274079 and 533.\nAnswer: 11237239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 96 + 15*d - 24*d + 10*d as f*d + t and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 - 2. What is the nearest to 0 in 0.4, h, -6\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5 + -17 + (0 - -15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -20704*j + 82821. Let c be m(4). Find t such that 76\/3*t**3 - 8\/3*t - 12*t**4 - 12*t**c + 0 + 4\/3*t**2 = 0.\nAnswer: -2, -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15561 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96913173.\nAnswer: 3, 7, 4614913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 536*c**2 - 177*c**2 - 3*c**4 + 7*c**4 + 640*c**2 + 198*c**3 - 74844*c - c**4 + 428652 = 0.\nAnswer: -42, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 + 2427830*n + 294717925445 = 0.\nAnswer: -242783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 573277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -54*(-23 - (-17476)\/765). Factor 33\/5*i + s*i**2 + 6\/5.\nAnswer: 3*(2*i + 1)*(7*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -4*q, q - 11 = -2*c + 1. Let j(m) = -m**3 + 2*m - 1. Let w be j(1). Suppose y + 1 - 5 = w. What is the greatest common divisor of c and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkrkrkrrr. What is prob of sequence rk?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 + 3*g + 7. Let q be u(5). Let h = 208 - q. Suppose -j + h = j. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1131 and 58.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 1498?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44375.83t to kilograms.\nAnswer: 44375830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r*v**4 + 117*r*v**3 - 9*r*v + v**3 - 1166*v wrt v?\nAnswer: 36*r*v**2 + 702*r*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-15) - 1*-2. Let p = 24.9 - 25. Put 0.1, q, p, 2 in descending order.\nAnswer: 2, 0.1, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*1\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24539145 divided by -4907829?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/(-4))\/((-3)\/2). Let v(c) = -c + 8. Let a be v(q). Does 15 divide 48 + (-6)\/8*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*r - 14 = 249*r. Sort r, 1, -3.\nAnswer: r, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4288*n + 4289*n + 21 = 0, -6*m = n + 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, t: 3, y: 2}. What is prob of picking 1 t and 1 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-1))\/f)\/f)\/f)**(-8)*(f\/(f**(-3)\/f))\/((f\/(f\/f**(-2\/5)))\/f) assuming f is positive.\nAnswer: f**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 22*s - 23. Suppose 6*j = 11*j - 105. Let i be u(j). Let k be (-24)\/i + (-16)\/12*3. Solve 2 - k = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35821 greater than 35102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 0*q + 0*q)*(-8 + 10 + 0)*(1 - 1 + q) to the form t + w*q + h*q**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.2. Let p be ((-4)\/(-5))\/(5\/(-25)). Let f = -54 + 51. Which is the third smallest value? (a) h (b) -2 (c) f (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*c - 190 wrt c.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276435 - -0.27.\nAnswer: 276435.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 7*j - 9. Give a(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2828744028 from 0.25.\nAnswer: 2828744028.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(2\/15)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**2 - 6*q - 15. Let f(r) = r - 17*r**2 + 16*r**2 - 25 + 23. Let w(c) = 5*f(c) - y(c). Determine w(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2959 + 1363. Let s = 13596 - v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Let a(w) be the third derivative of 0*w + 1\/60*w**5 + 0*w**3 + 0*w**4 - 2*w**2 + 0. Give m(a(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 42\/10850263 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**3 - 131*s**2 + 304*s + 463. Let d(l) = -12*l**3 + 196*l**2 - 456*l - 696. Let y(u) = -5*d(u) - 8*q(u). Find n such that y(n) = 0.\nAnswer: -1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n = -32*n - 23100. Suppose 0 = -21*a + 14*a + n. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(6\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730504.\nAnswer: 2, 199, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x - 2. Let p be q(2). Let a(y) = -y + 5. Let t be a(4). Let w = -1 + t. Put w, 3, p in descending order.\nAnswer: p, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3067 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/4*((-5120)\/12)\/20. Let s = 14 + 18. What is the greatest common factor of s and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/(-6)*(4264\/35301 - 3\/63))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u + u**2 + 207 - 115 - u**3 - 101 - 3*u - u in the form b + p*u**2 + k*u + j*u**3 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-13\/2)\/(a*a*a**(-2)*a*a\/(a\/(a\/(a**6*a)))) assuming a is positive.\nAnswer: a**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rri when three letters picked without replacement from iriiriiii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/318, 40, 1\/21, -4 in decreasing order.\nAnswer: 40, 1\/21, -1\/318, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/((8\/(-20))\/1)*-1. Suppose 5*x - p = 5*o, -5*o + 2 = -0*x - x. What is the remainder when 62 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.66 * 7.561\nAnswer: -50.35626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = -g. Suppose -r = g*r. Solve 5*d + 2*o - 12 = 0, r*o - 1 = -3*d + 5*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-408.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 49*j**4\/24 + 28*j**3\/3 - 3*j**2 - 11*j. What is the first derivative of w(l) wrt l?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10443*t**5 + t**2 - 153*t + 9 wrt t?\nAnswer: 626580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62190.91 centuries?\nAnswer: 74629092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*(-11)\/((-55)\/(-15)). Let r(v) be the first derivative of b*v - v**3 + 3 - 1\/4*v**4 - v**2. Calculate r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 2*s - 28. Determine g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-288)*(-200)\/(-25). Which is the nearest to 0? (a) -73 (b) 4 (c) 2\/7 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 2 - 2)*(-10*l**2 - 33*l + 33*l) + (3 - 3 - 2)*(-3*l**3 + l**3 + 4*l**3) in the form a*l**2 + d*l**3 + m + n*l and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*m + 8358 = 8334, -m = -4*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*((-8)\/5)\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnt when three letters picked without replacement from tfntttteeb?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 30*a + 190. Let x be u(-9). Let q(t) = 1509*t**2 - 8*t + 7. What is the units digit of q(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5156, -10304, -15450, -20594, -25736, -30876, -36014?\n\"Answer: y**2 - 5151*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -688*u**2 + 1. Let g(b) = 7*b + 7. Determine w(g(a)).\nAnswer: -33712*a**2 - 67424*a - 33711","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 4 = -z. Let m(k) = k**2 - 22*k - 65. What is the remainder when m(z) is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 64*y - 485. Let o be k(55). Which is smaller: -20 or o?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1191*f + 7270. What are the prime factors of x(-23)?\nAnswer: 17, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 312 or 310?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -1. Suppose 2 + v = -4*t. Let a be ((-5)\/t)\/((-7)\/(-14)). Solve -2*d - a = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22080 + -44161\/2. Let q = 9 - 6. Suppose -c - 15 = 4*b, -q*b + 0 = -c + 13. What is the third smallest value in h, -3, 1, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2183 and 5185.\nAnswer: 11318855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 164819951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -13. Let v be 4*(y - 4 - -3). Suppose g = v*g - 186. List the prime factors of g.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182029597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -497955 or -497880?\nAnswer: -497880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgz when three letters picked without replacement from {g: 6, z: 4, i: 3, c: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -275, -345, -389, -395?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 1) + 236\/(6 - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6152 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 6, -2*g - 3*g + 2*r = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 10, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5055224773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5250, -5265, -5288, -5319, -5358, -5405, -5460?\nAnswer: -5523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 2:48 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = y - 7, 0 = 23*y + 3*v - 1127 + 1233 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6, 4*w + 0*w + 5*p = 335. What is the remainder when w is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - k - 1)*(-2*k - 3 + 6 + 4*k)*(5*k - k - 9*k).\nAnswer: 10*k**3 + 5*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -15, 22 in decreasing order.\nAnswer: 22, 4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40137464, 40137456, 40137448, 40137440, 40137432, 40137424?\n\"Answer: -8*h + 40137472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*g, z + 0*g = 2*g. Let l = z - 0. Suppose l = -4*j - 8, 0 = 3*h + 3*j - 12 - 6. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (7 - 0)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-9)\/135 + 29\/(-20).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/17 (b) -5\/4 (c) -3\/76589 (d) -1 (e) 2\/13 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000001111 (base 2) to base 5.\nAnswer: 13124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5302308 - 6*v - 5302098 + 2*v)*(-v + 0*v - v).\nAnswer: 8*v**2 - 420*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from ggggggggdsggsgdgs.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9888 divided by -6?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10840 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -118.\nAnswer: 35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 610 - 604 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 44 - 32 = 0. Calculate the remainder when (21 + p)\/(4\/106) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 7*f - 120. Let g be ((-92)\/3)\/(63\/(18711\/(-66))). What is the greatest common factor of g and f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 3*w + 4*y, -3 = y - 7. Suppose -11*n + 330 = 4*n. Let g be w\/4 - (n\/(-8) + 2). What is the smallest value in -2\/3, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 79 = 4*u. Let p be u\/(-12)*350\/(-15). Calculate the highest common factor of p and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 - (-107 + 113)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(2\/11))*i)**(-9\/5)*(i**(1\/2))**(-32) assuming i is positive.\nAnswer: i**(-997\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92363.53l?\nAnswer: 92363530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 4*t = 253. Solve 0 = -s - t + 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 181?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -4, -123, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13*y**(1\/15))**(-32\/3) assuming y is positive.\nAnswer: y**(-6272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 25*j**4\/3 - 139*j**3\/3 + 272*j**2. What is the derivative of o(w) wrt w?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*t**2 + 1205*t - t**4 + 0 - 1203*t + 4*t**2 to the form g + v*t**3 + w*t**2 + z*t**4 + x*t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -47*b**5\/20 + 31*b**3\/3 + 63*b**2\/2 + 146*b. Let a(d) be the first derivative of z(d). Differentiate a(n) wrt n.\nAnswer: -282*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1398*k + 4205. Let b be w(3). Calculate the highest common divisor of b and 3707.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -60*g**3 + 3*g**2 - 2. Let y be l(-2). Suppose 3*s + 5*b = 245, 3*b = -8*s + 4*s + 301. Calculate the greatest common factor of s and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 243?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c - 17. Suppose -21 = -3*u + 5*r - 7, 3*r + 6 = u. Suppose 5*m = -2*j - 19, 3*j + 1 = m - u*m. Solve a + 6 = -2*s, -4*a + j*a = 3*s + c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/70 and -89\/3790.\nAnswer: 26530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 172 - -0.081360865188.\nAnswer: 172.081360865188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*c = 10, 12 = 8*s - 4*s + 4*c. Let z = s + 4. Suppose -q + z*i - 3 = 0, -5*q + 0*q = -3*i - 29. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336965*2\nAnswer: -673930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149981?\nAnswer: 13, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -1\/2, -1, 2\/7 in ascending order.\nAnswer: -166, -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**3*t**5 + 11*n**3*t**2 + 8*n**2*t**2 + 1015*n*t**5 - n wrt t.\nAnswer: -60*n**3*t**2 + 60900*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y = -h + 4*h + 24*y - 24, 19*y = -h + 8 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 + 4*i - 1. Let t(y) = -6*y**2 - 3*y. Let g(o) = 5*j(o) + 4*t(o). Let q be g(-9). Solve h + 5*d = -0*h + 6, -6 = -q*h - 2*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5, 5 = 2*m - 3*m + 4*g. Let j be (465\/20)\/(1\/4). Let p = -559\/6 + j. Is p >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 10. Let w be u(-5). Suppose n - 3*k = 4, -4*k - 8 = -2*n - w*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/18)\/((-2)\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8180 - -8186. Let x(p) = -4*p**2 - 4*p + 4. Let k(q) = -8*q**2 - 9*q + 9. What is f*k(s) - 13*x(s)?\nAnswer: 4*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1457, 1418, 1409, 1442, 1529, 1682, 1913, 2234?\nAnswer: 2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -0. Suppose -3 = -4*f + m*f. Solve f*k - 1 = -10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)*f**(-24)*(f**(3\/8))**(-1\/2) assuming f is positive.\nAnswer: f**(-563\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c5 - -c01?\nAnswer: 12c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52131 + -52126.0002. Let l = q - 5. What is l rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i**16\/i))\/i))**(-2\/3)*(i\/i**(1\/9))**(-4\/7) assuming i is positive.\nAnswer: i**(-704\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800925653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 913071015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8743\/156890 - 3\/5410. Let v = 10\/29 + j. Suppose -v*f**4 - 2\/5 + 0*f**3 + 0*f + 4\/5*f**2 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**6\/180 + n**5\/90 - n**4\/36 - n**3\/9 - 3*n**2\/2 - 8*n. Let v(m) be the first derivative of h(m). Factor v(o).\nAnswer: 2*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49166069 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*z - 12, 0 = -0*j - 4*j - z + 9. Suppose 3*k - 6 = j. Suppose k*m - 460 - 47 = 0. Round m to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96850270.\nAnswer: 2, 5, 11, 59, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtffdffffffrfzfggg. What is prob of sequence frr?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26 + 63.5878.\nAnswer: 63.3278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/49044 and -191\/3276?\nAnswer: 13389012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3423 (base 6) to base 13.\nAnswer: -4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i - 12616 + 12616.\nAnswer: 41*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.3, -239, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 1 - 1. Let v(b) = 5*b**2 - 1. Calculate the smallest common multiple of 10 and v(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-5)\/(-20)*2 + 0. Suppose 2*n = 3*t - 2 - 6, -p = 2*t + 5*n. What is the highest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 35 + -34.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 279, 1160, 3467, 7914, 15215, 26084, 41235, 61382?\n\"Answer: 119*c**3 - c**2 + 51*c + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*t + 45 + 8 = 0, 5*y = -2*t + 109. Let i = 17 - 10. List the prime factors of 70\/6 + i\/y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 622005 = -2*p, p - 3*j + 4*j = 310995. Round p to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*d*m**2*r + 10*d*m**2 - 3*d*m*r - d*r + m**2*r + m**2 + 10*m wrt m.\nAnswer: 32*d*r + 20*d + 2*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-30)\/(-8))*-3. Suppose -5 = -5*a + 4*t, -t + 30 = a + v*t. Let y = a - -14. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = 6. Let m(x) = 1. Let r(q) = -q + 7. Let d(o) = 6*m(o) - r(o). Is 2 a factor of d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.41 - 1.09. What is d rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5410751360.\nAnswer: 2, 5, 7, 1207757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Suppose 0 = -b*x - 0*x. Solve -5*v + v + 4 = x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((8\/(-198))\/(516\/(-774)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*u + 24, 4*u = u - 6. Let z(c) = 6*c**2 - 3*c**2 + c - c**3 - 17 + s + 13. Calculate z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(5\/(-8) - -1). Suppose 2*c + 2 + z = 0. Which is greater: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11944*c**2*o**4 - 55*c**2 - 73*c*o + o - 1 wrt o.\nAnswer: 143328*c**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 52*y. Let p(b) = 31 + 92*b**2 + 132*b**2 - 226*b**2. What is p(l(j))?\nAnswer: -5408*j**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:51 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*n + 15*n + 16*n. Let u(v) = -12*v - 15. What is u(n)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 <= 696\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4587684 (base 9) to base 3.\nAnswer: 11122221202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*a + 2 - 158*a - 61*a + 48*a to the form f*a + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113*l - 120 + 55 + 66)*(2*l - 3*l + 3*l).\nAnswer: -226*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31377264 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 70, 155, 282, 457, 686, 975, 1330?\n\"Answer: b**3 + 12*b**2 + 6*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 96 - 21. What is the least common multiple of j and ((-90)\/11)\/((-1104)\/4048)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10890, -11074, -11248, -11406, -11542, -11650, -11724, -11758?\nAnswer: -11746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22532316.\nAnswer: 2, 3, 1877693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 1, -179, -9, -3 in decreasing order.\nAnswer: 143, 1, -3, -9, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 2. Let a be r(-10). Let q = -11 + a. Suppose 0 = -c - 0*c + q. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27180071 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218 - 179. Suppose 84*m - 75*m - 216 = 0. Calculate the least common multiple of m and v.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1178289 or 1178257?\nAnswer: 1178257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 260014557 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + o + 5*o)*(-1 + 1 - o) - 51*o**2 - 15 + 2*o**2 - 156*o**2 in the form f*o**2 + j + t*o and give f.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 18 = 5*o, 0 = 2*o - 4*p - 2 - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 11:11 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 6:44 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -221*q + 52. Let l(d) = 13*d - 3. What is -52*l(y) - 3*t(y)?\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10815, -21629, -32443, -43257, -54071?\nAnswer: -64885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/2310 + -3 + (-1092)\/44.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 137, 278, 419, 560, 701?\n\"Answer: 141*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84377 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148199 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*i**2*t**3 - 2*c*i**2 - 3*c*i - 142*c*t**3 - 13*i**2 wrt t.\nAnswer: -3*c*i**2*t**2 - 426*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7322*s + 7425*s - 14748*s. Let h(t) = -t + 23. Let z be h(0). Let a(m) = 41*m + z*m + 22*m. Determine v(a(g)).\nAnswer: -86*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*m**2 - 16*m + 50*m**2 - 228*m + 5*m - 21*m.\nAnswer: 88*m**2 - 260*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riii when four letters picked without replacement from {r: 7, i: 6, u: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 832 - d + d + d - 824. What is l(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 7*u**4 - u**4 + (3 - 3 - 2*u**3)*(3*u + 3*u - 4*u) + 0*u**3 + 0*u**3 + u**4.\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.99 (b) 4\/4013 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -821\/550 + -2\/275. Let w = 2.7 - 4.9. Which is the closest to 2? (a) w (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -84. Suppose 4*r - 27 = c, c + 12 = i*r + 3*c. Suppose -r*g + 23 - 5 = 0. Solve -g*o - 16 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 472*f**2 - 9896*f + 1784. Determine b(-450).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**26*b)\/b**(-7\/4))\/(b\/(b\/(((b\/b**(-2\/33))\/b)\/b)))**4 assuming b is positive.\nAnswer: b**(4291\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -4*d**3\/3 + 2. Let k(l) = 0*l + l + l. Give k(j(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 2*v**2 + v - 2. Let y be r(-2). Suppose -y*m + 8 = t, -t + 0*t + 4*m = -16. Calculate the remainder when 35 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29995\/74567 or 0?\nAnswer: -29995\/74567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*i = -112, -2*w = 2*i + 3*i - 28. Let v be ((-4)\/14)\/(w\/(-21)). Let z = -1.2 + 1. Which is the closest to v? (a) z (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18384.055 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 - t + 20. What is k(8)?\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -498068.\nAnswer: -3\/498068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**5\/20 - a**4\/12 - 2*a. Let y be n(2). Suppose q = y*s - 82, q + 22 = 2*s - s. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281280 divided by -4965.\nAnswer: -18752\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 4*n**2 - n + 4. Let w be q(-5). Let y = -27 - w. Let d(u) = -u**3 - 12*u**2 - 13*u - 7. Is d(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0 - 4. Let m be (c\/5)\/((-1)\/(-5)). What is the remainder when 2 is divided by 1*m*(-3)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqyj when four letters picked without replacement from jbqbyq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/220878 and 68\/135?\nAnswer: 3313170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47.97 or 2?\nAnswer: -47.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0 + 1\/4*t**4 + 0*t + 2*t**2 + 1\/6*t**3. Is a(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22282014 + -186017986. Round v to the nearest one million.\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 132. Let q(w) = -38*w + 22*w + i*w. Let j(v) = 30*v + 3. What is j(q(x))?\nAnswer: -30*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/6 + (-36)\/27. Let n(y) = 2*y**2 + 6. Let k(d) = d**2 - d + 1. Let a(t) = w*k(t) + n(t). Calculate the remainder when 14 is divided by a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -5*v + 3*f, -4*f + 17 = v. What is the remainder when 65 is divided by -1 + (-3 - -24) + v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 + 0)) + (0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -15 - 40 - 69 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2 + 2)*(-2 - 2*s + 2) + 0*s**2 + 4*s**2 + 3*s**2 + (0*s + 4*s - 5*s)*(0*s - 2*s + s) to the form h + j*s + c*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79461786.\nAnswer: 2, 3, 13243631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 - 112.99. Let j be ((-2)\/10)\/((-12)\/20). Is j greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2570 + 2576 = -v, -5*q + 29 = -4*v. Let z(b) be the second derivative of b**3\/3 + b. Let o be z(2). Sort o, 3, q in increasing order.\nAnswer: q, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 650 - 299. What is the highest common factor of 39 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -15, 2812, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - 9*j - 6. Let b be q(5). Let y = b + -37. Solve y = u - 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 107, 133, 143, 131, 91, 17, -97?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 80685, 322774, 726261, 1291146, 2017429, 2905110?\n\"Answer: 80699*q**2 - 8*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24112668 and 7102.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3196 and 244.\nAnswer: 194956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 3*u**3 + 4*u**3)*(38310*u - 38310*u - 32247*u**2).\nAnswer: -64494*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -12. Calculate the least common multiple of 16 and ((-352)\/40)\/((-2)\/h).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-8)*a)\/a*a)\/a*a\/a**(-14))\/(a\/(a**(2\/9)\/a*a)*a\/((a*a**2)\/a*a)))**(-2\/9) assuming a is positive.\nAnswer: a**(-166\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 32 - 752 = 0. Let z be (2\/(-4))\/((70\/r)\/7). Solve -2*q - z = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1093 - 19*t + 1093)*(2 - 1 + 2)*(t + t - 6*t)*(3 - 1 + 0) to u*t + g*t**2 + k and give g.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -7*n + 5*n. Let h = n + 34. Solve 0 = -s + 3*a + 15, 4 = -h*s - 2*s - 4*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618 and 10644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 1. Let o be a(1). Let d(g) = 14 + 23 + g - 9. Is 14 a factor of d(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**2\/2 - 4*c - 1. Let h be x(-6). Suppose 2*w + h*w + s - 49 = 0, w - s - 16 = 0. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 49. Suppose -h - 5*k = -99, 0 = -9*h + 8*h + n*k + 64. Is h a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**7\/42 + j**4\/3 + 4*j**2. Find the second derivative of b(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2826*r**3*y**2 + 101692*r**3*y - 11*r*y**5 - 2*r*y wrt y?\nAnswer: 5652*r**3 - 220*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -n + 4*c, 0 = -n - 199*c + 197*c + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 + -1 + -17 + 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 6*u + 11. Let x(c) = -5*c - 10. Give 3*x(i) + 2*y(i).\nAnswer: -2*i**3 - 3*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 615 - 187 = 0. Let i = 134 + z. Let w = 115 + -8. Calculate the remainder when w is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.04 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - 2. Let t be w(2). Let b(o) = o**2 - o + 21. Let v be b(0). Let k(d) = -d + 1. Let a be k(-4). Solve t*g - a = -v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-9))\/(2\/(-54)). Let f be (44\/(-3))\/(3\/c). Round f to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380721, -761440, -1142159, -1522878?\nAnswer: -1903597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -246*(-12 - 247\/(-26)) is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvuoouvvvvovuuu. Give prob of picking 1 u and 1 v.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*1*186\/(-93).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1. Let d(q) = -17*q + 2. Let w(s) = 6*a(s) + d(s). Find the first derivative of w(h) wrt h.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.59 - -0.59. Which is the third biggest value? (a) w (b) 0.6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000802785 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from qjfzfdk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -724 - 11?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 160\/249?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81449 and 8034583.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104698075, -104698086, -104698097, -104698108, -104698119?\nAnswer: -104698130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147966 is divided by 4365?\nAnswer: 3921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:31 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182304 and 707694.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -245524495.9+-6.7\nAnswer: -245524502.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*n**4 - 64*n**5 + 178*n**5 - 92*n**5 + (4*n**3 - n**3 - 5*n**3)*(-n**2 + 3*n**2 + 0*n**2).\nAnswer: 18*n**5 + 33*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*q + 1)*(2 - 2 - 2*q) + 2*q - 2*q**2 - 2*q + 1 + 2*q**2 - 1 - 3*q**2 + 0*q**2 + 2*q**2 - q**2 + q**2 + 2*q**2)*(-34 - q**2 + 34 + 19*q).\nAnswer: 3*q**4 - 57*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:15 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 12. Let y be k(4). Suppose -3*t + y = 3. Let x be ((-42)\/28)\/(t*1*-3). Put 0.3, -0.2, x, 2\/7 in decreasing order.\nAnswer: 0.3, 2\/7, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -10. Let j(g) = -72*g + 17. Is j(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -19*p**3 - 5*p**2 + 5. Let d = -74 + 69. Let w(o) = -29*o**3 - 8*o**2 + 8. Determine d*w(m) + 8*x(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 5*v + 2*p, 12*v + 6252 = -5*p + 6139 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11111011 (base 2) to base 13\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 + 10000001110100?\nAnswer: 10000001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + 6 - (-34 + 35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15bb8 + -506?\nAnswer: -16502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 4*f + 516, 2*f + 510 = 4*x. Let c = 14 - 10. Suppose 2*w - 4 = 0, -c*j - 4*w + x = j. Calculate the remainder when j is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11703498?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*d**5 - 10\/9*d**4 - 16\/9*d - 14\/3*d**3 + 0 - 46\/9*d**2.\nAnswer: 2*d*(d - 8)*(d + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.44554 + 44.\nAnswer: 78.44554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/10)\/((-14)\/35). Let a be -2 + 0 + 40\/5. What is the tens digit of c + a + 2*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3638410787?\nAnswer: 11, 157, 2106781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15917*x**2 - 5*x + 2. Let o be f(1). Let y = 525280\/33 + o. Find the common denominator of 119\/30 and y.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5346.23646 rounded to 1 dp?\nAnswer: -5346.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25812637 times 0.3\nAnswer: -7743791.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(57)\/(sqrt(3) - sqrt(3)*-2) + sqrt(19) - sqrt(95)\/(sqrt(10)\/sqrt(2)*-6 + sqrt(5))).\nAnswer: -92*sqrt(19)\/15 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.041, -28, -254, 14 in ascending order.\nAnswer: -254, -28, 0.041, 2\/13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5688 + 5713.39. Let s = -26 + p. Let m = -0.01 - s. What is the smallest value in 0, -5, 0.5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110010111 (base 2) in base 6?\nAnswer: -30251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52682511.\nAnswer: 3, 7, 2508691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.012064 less than -347826267?\nAnswer: -347826265.987936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 12 - 22. Let l = b + -17. Which is greater: l or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + m - 1197 = -2*m, 4*f + 5*m = 1195. What is the remainder when f is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:48 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 7 - (-5 - (-6 - -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231019502 divided by 574.\nAnswer: 402473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2. Let l(v) = -28*v**2 + 4*v. What is l(c(q))?\nAnswer: -28*q**4 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r - r)*(-6 + 6 - 15*r**4) - 3*r**5 + 3*r**5 + r**5.\nAnswer: 31*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 15*b**3 + 3 + 28*b**3 - 4*b + 0*b**2 + 3*b**2. Does 4 divide j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2352 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 44624.\nAnswer: 89248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317753, -317586, -317297, -316880, -316329?\nAnswer: -315638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 - 22612*b - 248611 = 0?\nAnswer: -22601, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l**2 - 10*l + 12. Let p be d(8). Let m = p + -363. Is 7*(m + (6 - 4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 190, -44, -5, 163?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -10 - (10\/8)\/(15\/(-180)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 42 - 42 = 0. Calculate the least common multiple of 175\/10*(-20)\/(-25) and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.65 and -0.067.\nAnswer: -1.45055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 10*w**2 + 4. Let k(a) = -a**2 - a + 78. Calculate the remainder when q(9) is divided by k(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 4) to base 14.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 87 + 87 - 2453*u**2 - 258.\nAnswer: -2453*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10919 - 1?\nAnswer: 10918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {m: 4, n: 2, d: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41450 (base 6) in base 12?\nAnswer: 3286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 26*j - 5*j**3 - 23*j.\nAnswer: -4*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/((-2)\/15). Let v(q) = 7*q**3 - 12*q**2 + 6*q + 7. Let t(l) = 4*l**3 - 6*l**2 + 3*l + 3. Let o(u) = 5*t(u) - 3*v(u). Give o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*r + 44*r - 37206. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 23*p - 291. What is the least common multiple of 8 and m(37)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2348734?\nAnswer: 2, 83, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 4. Suppose -2*k + 2*q + 3*q + 12 = 0, -q = 0. Is 4 a factor of r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1825*d**3 - 5698*d**2 + 5698*d**2.\nAnswer: -1825*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 124344\nAnswer: -2486.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 636241791 to the power of 1\/3, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 129344310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 5*a + 4*n - 54, 0 = -3*a - 2*n + 62 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7202 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319989 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6990 + 11385. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose 5*q + 5*m - 1 = 69, -5*q = m - 58. Solve 8 = 4*w + 3*u + 1, -u = -i*w + q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302816 is divided by 299567?\nAnswer: 3249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 3, j: 1, u: 3, x: 1}. Give prob of picking 1 h and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/((-2)\/(3 + 1)). Suppose -2*q = -2*f + y, 5*q - f + 65 = -0*f. Let t = 15 - q. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194486*l + 406636*l - 18866*l.\nAnswer: 582256*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 175. Let f = 1.7 + -6.7. What is the closest to 0.1 in n, -10, -2\/17, f?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-632)\/1027*(((-5)\/4)\/5)\/(-1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3340737 and 16703691\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 149964, 149988, 150016, 150048, 150084?\n\"Answer: 2*d**2 + 18*d + 149944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 4149*r**2 + 57633*r - 184815.\nAnswer: 3*(r - 1369)*(r - 9)*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*u = 95*u + 6020. Let t = -691 + u. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 528 = -6*g. Suppose 5*r = 2*y + 46 + 24, 89 = 4*r + 5*y. What is the greatest common factor of g and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -114. Let t be b\/(-10)*(-2)\/3. Let i(u) = 8*u**2 - 3*u - 12. Is i(t) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291048993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (29 - -3) + -11 - 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqqkqwkqqqkkkqqq. Give prob of picking 1 k, 1 w, and 1 q.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1370\/7 - -196. Let d = -1.1 + -75.9. Let v = -77.07 - d. Is r at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 210 (b) 2\/19 (c) -1\/2 (d) -0.3 (e) -5 (f) 3 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15548933311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1\/2 (c) 15184.472\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 320?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000176155 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -133 + 132 + 2\/(4\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2907*s - 249826 = 2524*s for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 5*j. Determine t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/390 and -91\/80?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v - 0. Suppose v = 3*g - 26. Let f = 24 - g. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-111)\/12)\/(4\/(-32)). Let m = z - 51. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.57 * 0.07.\nAnswer: 1.8599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 28*z**2 - 2*z + 3. Let a be 9\/15 + (-35)\/(-25). What is the remainder when x(a) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-2125)\/700 + -31.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55062 is divided by 13757.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**28*u*u\/(u\/u**(-1\/39))*u)\/(u**16\/(u*u**(1\/33))))**(3\/41) assuming u is positive.\nAnswer: u**(157\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.388777, 1 in increasing order.\nAnswer: -6, -0.388777, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 634504 divided by -6101?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1832307.771 to the nearest one thousand.\nAnswer: -1832000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m*(m*m*m**(-5))\/m)*m)*m*m*m**10)\/(m\/(m**2*m*m))**(-26))**(3\/26))**(-6\/11) assuming m is positive.\nAnswer: m**(630\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 11559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -21.329?\nAnswer: 26.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:27 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 17*x = -54*p + 56*p - 4, -3*p = -4*x - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.027295 + 0.028. What is f rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16840 - 7923. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/186 - -44\/93. Let a(w) be the second derivative of -1\/12*w**4 - 1\/6*w**3 + 0 + u*w**2 + 1\/20*w**5 + 11*w. Factor a(s).\nAnswer: (s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*b + 114 - 359 + 116 - 4*b**2 + 129.\nAnswer: -4*b**2 - 65*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9*r**2 + 212\/9 - 24*r = 0. Calculate r.\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*f - 155, 0*f - 419 = -5*x - 2*f. Suppose -5*z + m = 219, -2*z + 2*m = -m + x. Let o = z + 72. Solve l + i = 9, 0*i + 2*i = -4*l + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 59774?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 3*f**2\/2 - 2. Let d(x) = -x. Let a = 1692 - 1690. Determine a*d(m) + y(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/3*(-15)\/40*-66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i**(1\/10))**(-2\/41)\/((i\/i**1*i)**(-1\/18))**(-34) assuming i is positive.\nAnswer: i**(-3476\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 5575*t**2 + 358990*t + 364560.\nAnswer: -5*(t - 62)*(t + 1)*(t + 1176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1189*s - 7243. What is b(-6)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -645 - -642. Which is the nearest to -1? (a) 4 (b) u (c) 0.03 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.386 and 654365.9.\nAnswer: 654361.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 27, 2 in increasing order.\nAnswer: -8, 2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -106074376 and -106074376 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2646*c + 3055*c - 385*c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -102. Let l(r) = -11*r - 43. List the prime factors of l(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 26*m**3 + 3*m. Let u(s) = -207*s**3 - 23*s. What is -6*u(t) - 46*v(t)?\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*k - 2*k, -7 = k + 5*o. Let l = 5 + -3. Let g = 0 + l. Calculate the highest common divisor of k and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 2, g: 1, m: 4}. What is prob of picking 1 r and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.5 and -33.\nAnswer: 148.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*x**5 + x - 14*x - 5*x**5 + 3*x**5 wrt x.\nAnswer: -460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 376344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378937793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974758.\nAnswer: 2, 31, 64109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 110022000020011 (base 3) to base 10\nAnswer: 6534922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + v**3 + 4 + 5*v**2 + 0*v**3 - 2*v**3. Let t be d(5). Let s = t + 2. Which is greater: 2\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (422 - 442 - (0 + 90))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 207784853 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 175722303331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 6900?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048909 is divided by 1048400?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -273238.3 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3280 divided by -82.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4969 - -1511?\nAnswer: -3458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*p - 7. Let n = 94 - 101.6. Let z = 8 + n. Put 2\/3, p, z in descending order.\nAnswer: 2\/3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 487 - 605. What is the common denominator of 43\/21 and ((-1781)\/m)\/(12\/7)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = m - 5, -3*w - 51 = -2*m - 39 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81832052 divided by -4?\nAnswer: -20458013","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u - 21*u + 1188 + 0*u + 6*u + 670 to the form g + t*u and give g.\nAnswer: 1858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 6*p**2 + 2*p - 7. Let g be s(6). Let n = -0.1 - -0.3. Which is the third smallest value? (a) g (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 23*u + 523. Let q be j(37). Put 10, q, -4 in decreasing order.\nAnswer: 10, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 3 + 1\/(-1). Suppose 4*w = g + 3, -5*w = n*g - 6*g + 10. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8 + 190520\/(-176)*22\/(-5)?\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l**2 + 3*l**2 - 4*l**2)*(329*l - 599*l + 312*l)*(-4 + 38 + 66) in the form f*l**2 + a + x*l**3 + i*l and give x.\nAnswer: 16800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -13. Suppose 11*r - 412 - 259 = b. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 4*l**3\/3 - 379. Let m(y) = -2*y - 33. Give p(m(t)).\nAnswer: 16*t**2 + 528*t + 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpczcmcmcu. What is prob of picking 2 z and 1 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 811157 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10925.64 - 3.31839?\nAnswer: 10922.32161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(6 - 10\/2). Suppose 4*o - y = 2*h - 25, -h = -5*o - 22. Sort o, 10, 3.\nAnswer: o, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9987111s to hours.\nAnswer: 0.00027741975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pppepppppep?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.7. Let n be 3\/28*2*2\/(-3). Put 3, -3\/5, j, n in descending order.\nAnswer: 3, j, n, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -92238 and 222353?\nAnswer: 314591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 4*j. Give o(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-12)\/(-10))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 3*b**2 - 3*b - 4. Let a be j(4). Suppose a*w = w. Do w and -2\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 16\/7, -0.06, -2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -87. Let b = 44 + d. Solve z = 3*k - 0 + 7, b*k = 3*z + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 0.07113, -4, -3?\nAnswer: 0.07113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -2*p - 2*o + 36, -o + 79 = 5*p. Let q be ((-69)\/(-633))\/(p\/(-314)). Let l = 3\/211 + q. Calculate the common denominator of l and 31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -44. Solve 0*k = q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 + 102. Suppose -x + 18 = -y*d, 3*d + 13 = x - 0*x. Calculate the remainder when x is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1459 = -4*q + 325. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*10\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 154490257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-567036)\/153 + (-45)\/51 + 1. Is (144\/(-2))\/2*t\/327 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1358418566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 3453008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**46\/i**(1\/7)*i*(i**(-17)*i*i)\/i*i\/(i**(-23)\/i) assuming i is positive.\nAnswer: i**(391\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13813890 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 526596367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43\/33 - -248\/165. What is the second biggest value in -2, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 v when three letters picked without replacement from vvdbdlvvuuul.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((sqrt(84)\/sqrt(4))\/sqrt(3)) - (3 + 2*sqrt(153)).\nAnswer: -5*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 10. Let m be w(7). Suppose -10 - 26 = -9*v. Differentiate -v*z**3 - 5 - z**3 - 5*z**m + z**3 with respect to z.\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 8. Let l = 28 - 37. Let f be t(l). What is the least common multiple of 21 and 54\/(-4)*(-2 + f + 1)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 139, 278, 415, 550?\n\"Answer: -b**2 + 142*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -18*x - 281. Let k be a(-16). Solve 0 = 3*w + 3, -4*j - k + 0 = -w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48275?\nAnswer: 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(30\/2)*9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -969 and -4582.\nAnswer: 4439958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45132 - -6.26.\nAnswer: 45138.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = 22. Let t = q + 29. What is the least common multiple of 41 and t?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3 - 4*a + 9 + 0*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27302 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 2*u + 0*u - 2*u. Let z = 30 + -27. Let h(k) = -2*k + z*k - 3*k. Determine d(h(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48688645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 12. Let a = -9 + s. Let x = a - 0.1. Sort x, 4, 2.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 977512146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 5*b + 120, -33 = -3*d + 11341*b - 11339*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = 2. Find the third derivative of g*w**2 - 3*w**2 + 3*w**2 - 6*w**2 + 11*w**5 wrt w.\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183476 is divided by 1872.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 252\/(-10) - (-3)\/15. Let n = v + -36. Let t = 93 + n. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 29788 + 29291 - 3*z**3 - 2*z**2 to o*z + d*z**2 + t*z**3 + g and give g.\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - 2*p**2 - p + 2. Let h be r(1). Solve 3 + h = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, 52666, 0?\nAnswer: 52666","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5434 and (-41 + (-43 - 1398))\/(6\/(-14)).\nAnswer: 38038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19192.\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 5*d + 13. Let o be p(-8). What are the prime factors of 14\/(-77) - -1135*(-1)\/o?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*m + 41, 944*m = 945*m + 3*w + 17 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/5 in -1\/2, -1, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, q: 4, d: 3, p: 3, y: 6, b: 1}. Give prob of picking 3 q and 1 s.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.347 and -0.1.\nAnswer: 0.0347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 148928.98 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -29. Suppose 4*q - 3 = w + 35, 5*q = -2*w + a. What is the units digit of 6\/q + 235\/3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 608 + -604. Solve o - f = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**3 - 371*w**2 - 4*w - 60. Give v(53).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -30.027. What is u rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -872771\/36 + 24239. Is w at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Let g = -4673 - -4678. Sort a, g, -4 in decreasing order.\nAnswer: g, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/9*6*(-374)\/462.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*r + 0*r = -16840, 0 = -4*l - r + 16842. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 725*z**2 - 114*z**2 + 0*z + 403*z**4 + 0*z wrt z.\nAnswer: 9672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 3, t: 7}. Give prob of sequence cc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/18)\/(3\/(-690)). Let p = f - 190. Let o = 0.2 + -0.7. Sort 3\/4, o, p in descending order.\nAnswer: p, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 1. What is h(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26604029117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5 - 194*n**4 + 315280*n**3 - 37701704*n**2 - 316794176*n - 643723904 = 0.\nAnswer: -493, -4, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1704\/497)\/(2\/(-7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 33, 51, 71?\n\"Answer: w**2 + 13*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c - 3*c)*(-14*c + 23*c + 9*c + (2*c - 3*c + 3*c)*(2 - 3 - 1)).\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221311441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 48 = -2. Suppose -13*c = 7*c - 240. What is the remainder when h is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 1 + (1 - 2)*2. Let z(q) = -q - 4. Calculate z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 2. Suppose t + 36 = 2*f. Calculate the remainder when f is divided by 5 + (1 - 3) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/22 - 14*q**3\/11 - 9*q**2 + 22*q - 23. Factor n(p).\nAnswer: -2*(p - 1)*(p + 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/2 (b) -1 (c) 307\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4 + 3*v**3 + v**2 + 2 + 2*v - 3 to f + j*v + z*v**2 + s*v**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31\/111 - 2\/37. Which is smaller: -100 or j?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + -55. Let r = 46 + z. Let m = -28.2 - r. What is the biggest value in -1.8, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9180, -18493, -27938, -37515, -47224, -57065, -67038?\nAnswer: -77143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (279 - -2) + (-6)\/24*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1747635 and 23479?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1052352 (base 6) to base 13\nAnswer: 1b5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 214462702579?\nAnswer: -214462702569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*k**3 - 242139*k**2 - 33090599*k wrt k?\nAnswer: -486*k - 484278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 50. Calculate the remainder when 60 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-5 + 4)*-1) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -5*v - 34. Suppose 71 = d + 3*y, -4*d = -3*d + 2*y - v. Let x = d - 38. Calculate the smallest common multiple of x and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 17*t**2 - 108*t - 40. Determine g(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:58 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003151992 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 7. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/24*2)\/(150475\/(-72228)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.11 + -2.2. Let c = y - -0.05. Let j = c + 0.14. Is j not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)*p*p\/(p**(3\/7)\/p))\/(p\/p**(2\/5)*p)**(-17\/4)*(p*p**(-1\/10)\/p)\/p**(-7)*((p**(1\/3)\/p)\/p)**(-29) assuming p is positive.\nAnswer: p**(4569\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 6, 13, 36, 81, 154?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00214526851 to seven dps.\nAnswer: -0.0021453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1094*v + 273722. What is z(250)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -43. Solve 2*q + 2*i = 1 + 1, 5*q - m = 5*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-3)*(1 + -7). What are the prime factors of (1 - -7)*p\/(-16)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/12 + 12\/(-16). What are the prime factors of (224 - 3) + -4 - f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 85 = -6*b. Let v(l) = 3*l + 24 - 2*l - 3*l + 3*l. What is the remainder when b is divided by v(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i = 5*k, 3*i = 3*k. Let y be (i\/2)\/((-6)\/3). Solve y = 5*r - 5*c, r + 6*c = c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - 35437.\nAnswer: -35471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6370800 rounded to the nearest ten thousand?\nAnswer: -6370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let s(i) = 7*i**2 - 1. Let a be s(o). Suppose 3*z = 3*d - 12, 2*d + z - 9 = -1. Solve -d*x - a = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56.2908104 and 11584.\nAnswer: 11527.7091896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 728 - 977. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100001 + -1100?\nAnswer: 11111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*n - 66*n = 1003. Calculate the highest common factor of 4 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -14*m + 3. Let c be w(-3). Suppose -h + 30 = -0*h + 3*v, 4*h = 3*v + c. Let k = -7 + h. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -626*p**4 + 2*p**3 - 44*p**2 - p + 990971 wrt p.\nAnswer: -2504*p**3 + 6*p**2 - 88*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2021 + 5?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*a = 20, -2*a + 0 = -4*q + 8. Suppose 12 = 2*m + m - 4*j, 3*j = q. Find the first derivative of -k**3 - m + 204*k - 204*k wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 9, -193, -533?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3240510 + 4?\nAnswer: -3240502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)\/(r*r\/(r\/r**(-3\/17)*r)))\/(r\/r**3)**(-35\/6) assuming r is positive.\nAnswer: r**(-586\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 104357 (base 12) to base 9\nAnswer: 430444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1922 or -1915?\nAnswer: -1922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 114*m**2 - 34 + 15*m - 1 + 9. What is the tens digit of p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 10*f**2 + 12*f + 2. Let d be k(-8). Let w = d + -58. Is -25 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59597402, 119194803, 178792204?\nAnswer: 238389605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-138)\/(-18))\/((-2)\/(-6)). Let u(w) = -w**2 - 21*w - 14 - m + 5. List the prime factors of u(-14).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4350\/135)\/(2\/(-3))*4*(-45)\/300.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190300 divided by 50?\nAnswer: 43806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983 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: What is 0 - ((8 - -21) + -45)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138577 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*p - 1191, -5*p + 2662 = -4*t + 713. What is the remainder when p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:28 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561835.\nAnswer: 5, 313, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3 + 1. Let f = -166 + 494\/3. Suppose 0 = t + t + 6. What is the third biggest value in w, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -25. Let a be n\/21 + 11\/7. Suppose x = 3*x - a*r - 20, 2*x - 5*r = 14. Solve 2*t - x = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-three eighths of a gram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*j - 2000101 - 250884, 5*m + 3*j - 2251001 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2028 and 12302524.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1512)\/16)\/(-27) - 5. Suppose 3*y + 2*y = -2*o - 12, 2*o - 24 = 4*y. What is the fourth biggest value in n, o, -1, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/20 + x**4\/12 - 3*x. Let j(c) = -7*c**3 - 8*c**2. Let g(n) = j(n) + 6*u(n). What is the third derivative of g(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -737, -717, -669, -581, -441, -237, 43, 411?\n\"Answer: 2*a**3 + 2*a**2 - 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 11. Let t be q(14). Let m(s) = 3*s + 1. Let w be m(-3). Let p = w - -17. Solve -t*k - p = -0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -17 - -8 - 14 - -69?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6318653 (base 9) to base 3\nAnswer: 20100122201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (9 + -14 - -9 - (13 - 8))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010101110110111010 (base 2) to base 15.\nAnswer: c1d13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 51. Let y be (-3)\/(-15) + g\/10. Solve 2 = -5*m - y*q, -5*m + q - 8 = -21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -5*w**4\/4 - 25*w**3\/3 + 10*w**2 + 100*w + 136. Solve t(u) = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 101, 222, 401, 644, 957, 1346?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c - 2. Let u be h(-3). Suppose -1368 = -5*a - 4*a. Calculate the greatest common factor of u and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(306) + sqrt(306) + -2*sqrt(306)*2)\/(6*((1*sqrt(6))\/sqrt(3) - 3*(sqrt(2) + sqrt(8)))).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a**3 - 17*a**3 - a + 5 - 16)*(-2 - 3 + 8).\nAnswer: 6*a**3 - 3*a - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11414381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5474.837 centimeters?\nAnswer: 54748.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1 - 3*r + 0 + 2*r. Let u(x) = -4 + 2 - 1 - 4*x**2 + 3*x**2. Let v be u(0). Determine d(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22120 (base 4) to base 6\nAnswer: -3024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16 + 0 + 1 + 0. Let z = 45 + k. Calculate the common denominator of -41\/62 and z.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 5*d**2 - 3*d + 3. Suppose 2*r = -3*r + 15. Suppose -r*j - 12 = -0*j. What is g(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5819, -11578, -17337?\n\"Answer: -5759*o - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 14*m**2 - 14*m**2 - 4*m**2.\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -52. Let n(s) = s**3 - 7*s**2 - 3*s + 10. Determine n(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243 less than 297081217?\nAnswer: 297077974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*l + 105, -243*l + 246*l = -9. Solve -155 = -f*p + 160 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 4*v = 3*m - 264, 102 = -2*m - 2*v. Let h(l) = -29*l + 5. Let g be h(2). Is m < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 2*b**2 - 10*b + 17. Let z be p(7). Let i = z + -102. Factor 445*v - 1080 - i*v**2 + 0*v**3 + 95*v + 5*v**3.\nAnswer: 5*(v - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-276)\/(-1771))\/(2\/7).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from hhhrrrhh?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/17499 + -309131\/157491. What is the common denominator of w and -151\/366?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyoocyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - -54 - (186196 + -186198)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3369, 1\/2, -2, 0, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/3*9180\/561.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34378106 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 2*w - 1. Let t be c(-1). Let m = -3721 - -33421\/9. Find the common denominator of ((705\/6)\/(-5))\/t and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -230? (a) 5 (b) 35 (c) 22 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -521, -1158, -2045, -3182, -4569, -6206?\nAnswer: -8093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4183 + 4219 = 4*k, -3*u + 3*k - 42 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:57 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 8*r**2 - 5*r - 4. Let f be 3\/(-2) - 2\/(-4). Let d = 8 + f. What is the remainder when j(d) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/112)\/((-342)\/(-532))*(-1)\/(1\/117)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (3\/(-1))\/(-3) - 3. Solve -4*k - 2*x + 0*x - 18 = l, -3*k - 6 = -x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1622*f**2 + 19*f + 20*f - 39*f to u*f + b*f**2 + t and give b.\nAnswer: 1622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1212331970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 divided by -1?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1361759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 5) in base 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z = 69*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*m + 15. Let l(f) = -f**2 + f + 7. Determine l(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46931 and 2627?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*m - 4451, 6*v + 4*m - 2966 = 4*v. Calculate the remainder when v is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 333\/50 - 204\/25. Suppose -3*w - 4 = w. Which is the biggest value? (a) l (b) w (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2901897395855 + 2.\nAnswer: 2901897395857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1833 and 987.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -689284.\nAnswer: -689288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 2\/5 (b) 4252 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 5*g**2 - 4*g - 2. Let c be f(-3). Let d be 4\/20 + 1398\/10. Suppose d = 4*t - 28. Calculate the highest common factor of c and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -29*c**2 - 5*c. Let z(i) = 44*i**2 + 8*i. Let f(d) = 8*q(d) + 5*z(d). Let s(b) be the third derivative of -b**4\/12 + 20*b**2. Give f(s(h)).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 3. Let q = 3495 + -3495.3. Put o, q, 13\/7 in increasing order.\nAnswer: o, q, 13\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 + (0 - (13 - 8)) - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 23*r - 36. Give g(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 105136*t**4\/9 - 32*t**3\/9 - 78852*t**2 + 78876*t - 24 = 0.\nAnswer: -3, 2\/6571, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 226107739*c*x**3 + 201382*c - 167*x**2 wrt x?\nAnswer: 1356646434*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2141, -4231, -6327, -8429, -10537, -12651, -14771?\n\"Answer: -3*g**2 - 2081*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104761 (base 8) in base 14?\nAnswer: 7a58d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11820 (base 9) to base 13\nAnswer: -3810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -18394, 37 in increasing order.\nAnswer: -18394, -1, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 35649975*k**3 + 2*k**2 + 2*k - 4. Let o be v(1). Suppose 3*w = -4*z + 21390020, -2*w + 7*w - o = 5*z. Round w to the nearest one hundred thousand.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742141537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712268*23.\nAnswer: 16382164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 10*k**2 + 13*k - 8. What is p(-11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 1003?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6185365850 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(2 + (-8)\/6). Let h = 578 - 558. Solve -k = o*k - h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1211, -1196, -1263, -1454, -1811, -2376, -3191?\n\"Answer: -7*x**3 + x**2 + 61*x - 1266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 2*a**2 + 7*a - 6 - a**3 + 3*a**2. Let y be g(4). Suppose -2*d - y = -4. Which is greater: -2\/5 or d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 163 + -158 + -2*(0 - 2328)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.7581 to one decimal place.\nAnswer: 22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217792 and 18655246.\nAnswer: 596967872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 6. Let u be p(-4). Solve u*r - 3 = v + 4*v, -v - 2*r - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 12*w - 7*w + 3 - 30 = -5*g + 68, -3*w = 105 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/281150 and -37\/36?\nAnswer: 5060700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 595.402\nAnswer: -3572.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/20 + 7*a**4\/12 + 4*a**3\/3 + 5*a**2\/2 - 7*a. Let f be y(-5). Calculate the greatest common divisor of 75 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*m - 37 = -t + 684*m, 0 = 55*m - 880 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74572 - 1?\nAnswer: -74573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 10*d**2 + 14*d + 18. Let n be f(-4). Suppose -m + 4*m = -3. Is m less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from kkxyrxkrurykyzkkyykk?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9783 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) -0.91 (c) 6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -2156.07008.\nAnswer: 2165.07008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3284915*a*u**3 - 4*a*u**2 - 8*a*u - 4234*a - 11 wrt u?\nAnswer: 19709490*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/109, 0.2, 5, 4\/3, 14, -0.05, -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/21)*(j*j*j**23\/j)\/j)\/(j**(8\/7)\/j*j**(1\/25)) assuming j is positive.\nAnswer: j**(12454\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46049*q**3 - 51*q**2 - 436.\nAnswer: 276294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20216777 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: Simplify sqrt(44)\/(sqrt(36)*-1 - sqrt(4)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/8*20\/6. Let z be ((-2)\/j)\/((-3)\/(-15)). Let y be z\/5 - (-721)\/35. Calculate the highest common factor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 531 + -5711?\nAnswer: -5190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 11*w**4\/24 + 7*w**3\/6 - 30*w**2. List the prime factors of y(18).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let m be -6*12\/(-9) - (-6 + 3). Let o be (0 - (m + -3))\/1. Determine r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 1*sqrt(17)) + -5 - (sqrt(34)\/(sqrt(4)\/sqrt(2)))**2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-102)*6\/36?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-90)\/21 + 4\/14. Let o = w - -8. Suppose -9*p + 6*p + 27 = 0. Solve -p - 3 = -o*y + 3*f, 0 = -4*y - 3*f + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c**13\/c*c)))**(-1\/35) assuming c is positive.\nAnswer: c**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54*1 + -2 + 0. Let r be (-532)\/21*(-243)\/108. Suppose -f*h + r*h = 250. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 496\/155*90\/24. Calculate the highest common divisor of 304 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:44 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - g + 199 = 0, -2*i - 4*g + 56 + 54 = 0. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 60. Let b(i) be the third derivative of i**4\/6 - i**3\/6 + 2*i**2. Let y be b(a). Solve 18 = 3*h - 0*w + y*w, -24 = h - 5*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1853, -1847, -1839, -1829, -1817?\nAnswer: -1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 6*h**2. Let c be s(6). Suppose c*t - 4*t + 4 = 0. Let b = -12 + 17. Put b, 4, t in descending order.\nAnswer: b, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide (-4 - -68)\/8 + 1444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/21*(-3 + 0). Solve -4*d + 2*t + 0*t = i, 0 = 3*t + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -59.5046?\nAnswer: 56.5046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 3*c - 3*c)*(1 - 5 + 1) - c - 2*c + 2*c + (2 - 1 - 3)*(3*c + 2*c - 4*c) to the form b*c + l and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4924921 to the power of 1\/2, to the nearest integer?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 4*p**2 - 1 + 0*p**2)*(-301217 + 301217 - 286*p**2).\nAnswer: 858*p**4 + 286*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1284 - -1284.2217. Let d = -1.98 - -2.2. Let z = n - d. Round z to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*s + 152, -2*n - 3*s = s - 76. Let g = -3927\/2 - -9863\/5. Find the common denominator of g and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 32.9. Let v = 7 + a. What is the third biggest value in v, 1, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/784 and ((-8)\/192)\/((-42)\/2248) - (-12 + 14)?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (546\/28)\/13*((-10)\/(-9) + -2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s + 23. What is the units digit of u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 61*u**5\/20 - u**4\/3 - u**3\/6 - 47*u. Find the third derivative of f(m) wrt m.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + m = -0*m - 5, 0 = -5*m - 5. Suppose -y = -o + 370 + 900, -2*o - h*y = -2528. Let z = o - 329. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 - (-25 - (-7170)\/270)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-138)\/184 + (-3)\/4*-117. What is the closest to o in -0.3, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o - 6. Let h(s) = -4*s + 5. Let p(a) = -a**3 - 10*a**2 - 20*a + 1. Let g = -14 + 7. Let f be p(g). Calculate f*b(m) - 7*h(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/135828 and -167\/45276.\nAnswer: 135828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 5*k**2 + 6*k - 2. Let a be n(6). Let m be 44\/(-99)*a\/4. What is the third smallest value in 0.6, m, 1\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1860*f + 744. Let c(j) = -2*j + 3. Give b(n) - 248*c(n).\nAnswer: 2356*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:39 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/(4\/23517300) + 0. Suppose 2*i = 1820450 + g. Round i to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709310 rounded to the nearest ten thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 13. What is the remainder when 45 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 620*x + 1223. Calculate m(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -30, -0.632?\nAnswer: -0.632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79443, -317760, -714959, -1271046, -1986027, -2859908, -3892695, -5084394?\nAnswer: -6435011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 1, v: 2, z: 5, y: 6}. What is prob of sequence jvy?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + 3*(sqrt(475) + 1) - ((1 + sqrt(475) - sqrt(475)) + -1)**2*-6).\nAnswer: 2 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*u + 7240 + 8119 - 6309 + 6826 = 0 for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3485*z + 10464*z + 3638 - 3490*z - 3487*z to x*z + v and give v.\nAnswer: 3638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22431 - 1?\nAnswer: 22430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/sqrt(5)*6)\/sqrt(7)*-2 - ((1*sqrt(112) + sqrt(112))\/(sqrt(4) - 5*sqrt(16)))**2.\nAnswer: -12*sqrt(7) - 112\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1124636*d. Let c(m) = 4*m. Give c(j(s)).\nAnswer: -4498544*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 2*y - 2. Let c be q(-2). Suppose 4*p - 7 = -x, 4*p = c*p - 2. What are the prime factors of (x\/(-2))\/((-13)\/130)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -46. Suppose 2*x + 8 = 0, 2*r = -2*x + x - 4. Which is the second biggest value? (a) y (b) -1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 2511.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 6*m - 2. Let a(u) be the first derivative of -u**3\/3 + 5*u**2 - 11*u + 623. Suppose 0 = 4*c, -d + 5*d + c = 32. Let o be a(d). What is s(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1532, 12377, 41834, 99209, 193808, 334937, 531902, 794009?\nAnswer: 1130564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036968847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3}. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -0.1 (c) 475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4337412, 8674824, 13012236, 17349648?\nAnswer: 21687060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*d + 50 = 0. Suppose d*z = z - 8. List the prime factors of z*(-1)\/(4\/74).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-48))\/((-4)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/924 and 57\/112.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmqmqmmqqmmmmmqmmqq. What is prob of picking 3 m?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 3*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 - 192. Let a = -19 - p. What is the remainder when a is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 62.56828 nanograms?\nAnswer: 0.00000000006256828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*l - 22. Let j be -40*(1 - 14\/l). Calculate the greatest common divisor of 80 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63534)\/(-10) - 2\/(-4). Let i = u + -6347. Calculate the common denominator of i and ((-1)\/(-4))\/(3\/426).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 2*z**3 + z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d13 (base 15) to base 13.\nAnswer: -1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 123. Let q(r) = 2*r**2. Calculate m(q(l)).\nAnswer: -2*l**2 + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + 81. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -942867 or -942876?\nAnswer: -942867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let l = -1 + 1.1. Let r be (10\/2)\/(-20)*(4 - 3). Which is the nearest to y? (a) l (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -0.3. Let l = u - -0.1. Let j be (-2)\/(-24) + (-1)\/4. Which is the nearest to -1? (a) l (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -5*g + 1\/2*g**2 - 11. Determine p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 104990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*(146\/(-924) + 8\/44)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/48 and 25\/36392.\nAnswer: 218352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -14*k**3 + 17*k - 1526. Let r(p) = -5*p**3 + 6*p - 508. Calculate -3*q(i) + 8*r(i).\nAnswer: 2*i**3 - 3*i + 514","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 174*j**2 - j + 13. What is the hundreds digit of l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1881, -1\/2, -2\/5, 0.5, -0.07 in descending order.\nAnswer: 0.5, -0.07, -2\/5, -1\/2, -1881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/3 (b) -35 (c) 4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/42)\/(63\/294)*(-11)\/((-11)\/(-78))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkxkkvkkv. Give prob of picking 2 v and 2 k.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*x**3 + 8 + 2 + 2*x**2 - 48*x**3 - 52*x**3 + 5*x to the form a + u*x**3 + j*x**2 + h*x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {g: 2, h: 9}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 10. Let z be -1 - (2 + 5*-2). Let t be v(z). Find the common denominator of (-112)\/36*-2*1\/t and 3\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a (base 13) in base 6?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113311548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/5)*y\/(y*y**(1\/4)))**(18\/5))**1)**14 assuming y is positive.\nAnswer: y**(189\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228 + 436. Let o = -1060 + 1063. Suppose -1 = 4*v + 7, v - p = -o*x. List the prime factors of x.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 divided by 24?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -199*s - 180. What is w(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 2)\/(5\/(-3 - -158))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1963 - 1667.2. Let g = n - 296. What is the closest to -0.1 in g, -1.8, -3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2. Let k(z) = z - 3. Let c be k(9). Let d(w) be the second derivative of -2*w + 3*w - 2*w**3 - c*w. What is d(a(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2600.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 55*n**5 + 515*n**4 - 4060*n**3 - 20660*n**2 - 21840*n = 0.\nAnswer: -13, -2, 0, 84\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 + 224. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5436852, 10873702, 16310552, 21747402, 27184252, 32621102?\nAnswer: 38057952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90087 and 17685.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 3*b - 7\/2.\nAnswer: (b - 1)*(b + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 - 84*j**3 - 3*j**2 + 84*j = 0. Calculate j.\nAnswer: -1, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {p: 2, y: 4, r: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1766786 and 14?\nAnswer: 1766786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-27)*(-6)\/(-18)*2*5?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3) + 1 + 1)**2 - (sqrt(3)*-1 + -2)) + -2*sqrt(3)*1*4.\nAnswer: sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**3 + 5*x**2 - x + 7. Let y be l(-5). Let j = y - -1304. Let s = j + -383. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-32*38\/(-22800)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2913988 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456829.\nAnswer: 61, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - -1.33. Let n = 4.61 + c. Which is smaller: n or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078*u - 2711351 = -2626189 for u.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzztzzztzzccztz. Give prob of sequence zctz.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31220301 (base 4) in base 12?\nAnswer: 283a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 less than 318?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 10*d - 343. What is the remainder when d is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 1773?\nAnswer: 56736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -101*u + 159. Calculate x(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3070 + -229. Let w = 4945 + c. Calculate the remainder when w is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b + 2*p = 233, 4*b - 3*p = 168. Let k = -38 + 43. Suppose -k*z = -14*z + 81. What is the greatest common divisor of z and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(26)\/sqrt(2))**2 - ((-1 + sqrt(13)*-1)**2 - sqrt(13)).\nAnswer: -sqrt(13) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 38*u**3 - 4*u**2)*(240 - 240 - 7*u**2) - u**5 + 3*u**5 + 0*u**5.\nAnswer: 268*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 1056 = -2*q + 21*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 10*p + 9. Let g be i(9). Let o be (0\/2 - 0) + -1. List the prime factors of g\/o - -2*5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 18, -5, -0.3, -2, -265 in increasing order.\nAnswer: -265, -66, -5, -2, -0.3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a + 1844. Let o(z) = -163*z**2. Calculate b(o(v)).\nAnswer: 978*v**2 + 1844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -676*q + 2. Let y be v(-1). Let n = y + -651. Let s(f) = 3*f - 3. Let x be s(4). Calculate the highest common factor of n and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 190. Let i(f) = f**2 - f + 1. Let q(y) = 20 - 6*y + 8*y**2 + y - 7 - 5. Determine v*q(d) + 6*i(d).\nAnswer: -2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -1.452?\nAnswer: -1.452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7246233 + 6?\nAnswer: -7246226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -31. Let c be (-10638)\/(-30) + w\/5. Differentiate 340*v**3 + 5 - 3 - c*v**3 with respect to v.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3 + 12 + 2 - 2*b - 29. Let h be a(-5). Sort 4, h, 7.\nAnswer: h, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6940 greater than 90208\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 8*u**4 - 7*u**3\/3 - u**2 - 18*u. Let x be h(-7). What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 0*a - 2*a)*(3*a - 4*a + 0*a)*(-31*a + 84*a + 348*a) to g*a + x + w*a**3 + j*a**2 and give w.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + -113. Suppose 2*w = -2*a - 6, m*w - 4*a + 8*a = -14. Let x = -0.8 - -0.6. Sort x, 4\/7, 4, w in decreasing order.\nAnswer: 4, w, 4\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118 and 1298?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 3, 114, 4 in decreasing order.\nAnswer: 114, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 13. Let y = -2 - f. Let u(v) = -2*v - 2*v + y*v. Let t(k) = 2*k**2. Calculate u(t(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-1)*v)**16\/(v**(-2\/5))**(1\/10) assuming v is positive.\nAnswer: v**(1601\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754013.\nAnswer: 3, 43, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 3*y - 2. Calculate the lowest common multiple of c(5) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/(u**(6\/11)\/u*u)*u**(-6\/7)*(u**(-1)*u)\/u)**(4\/3) assuming u is positive.\nAnswer: u**(-1972\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 2060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -68*(10\/(-4) + 3). Let j = p - -41. Let z = -105 - -110. Solve j*r = 2*r - z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14*d + 14. Let i(g) = -5*g - 5. Let s(m) = 11*i(m) + 4*w(m). Let p be s(2). Let c be 2 - (p + (-3)\/1). Solve 0 = c*f + f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 + 415. Let f = -190 + j. Let p = f + 249. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 7 (c) -3 (d) 5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104423430.\nAnswer: 2, 5, 11, 23, 436531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + m)*(109 - 11*m - 109).\nAnswer: -11*m**2 + 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -93?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + q + 4*q = -50, -2*q + 6 = 0. Suppose 5*n + 2 = -p. Let x be -3 - (n + 0\/1). Which is the nearest to 0? (a) x (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 14. What is g(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-9)\/(315\/(-50)). What is the closest to -3 in 0.2, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 2*y**2 + 10*y. Let r(g) = 4*g**2 - 22*g + 8. Let v be r(5). Let h(t) = t**3 - 3*t**2 - 11*t. Calculate v*h(m) - 3*b(m).\nAnswer: m**3 - 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 2, j: 4, u: 2}. Give prob of picking 1 f, 1 g, and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 451225 and 90245.\nAnswer: 451225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 3*v**2 - 3. Let i be g(2). Suppose 0 = -b - 1 + 6. Suppose n - b*x = -8, 0 = 3*x - 6. Solve y - 4*r + 3 = -3*r, 0 = -5*y - n*r - i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 0, 258 in increasing order.\nAnswer: -1, 0, 4, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36623399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 2*d - 4*d)*(d**2 - d**2 - 2*d**3) + 4*d**4 + 3*d**3 + 2*d**2 - 3*d**4 + 2*d**2 to the form g*d**2 + k + t*d**3 + y*d + f*d**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -91*q + 4. What is a(-1)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/697 and -8\/697.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, u: 14, v: 2, m: 1}. Give prob of sequence rm.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 179473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let t(o) = 2697*o + 217. Let n = 107 - 102. Let m(c) = 62*c + 5. Let l(p) = n*t(p) - 217*m(p). Calculate l(v(h)).\nAnswer: 62*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -833 - -5?\nAnswer: -82d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) 0.09 (c) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14012272353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 472752, 945511, 1418272, 1891035?\n\"Answer: h**2 + 472756*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -547 - -555. Let j = 9 - 5. Solve 6*v - b = 2*v + j*y, -18 = -5*v - 3*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 104024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 25. Calculate w(13).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 68. Suppose 0 = -4*t + t + y + c, -4*y = 5*t - 99. What is the highest common factor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 1. Let x(j) = 5*j. Let r(v) = -4*x(v) + 7*z(v). Let d be r(9). Solve d*u = 3*t + 7, -3*t = -4*t + 3*u - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2178\/16940*-6*(-6)\/81.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 363262.4km in nanometers?\nAnswer: 363262400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59170825 take away 0.3?\nAnswer: 59170824.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008271764 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 0*x - 20*x - x - 16*x as o*x**2 + k*x + b and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -318668419661\/54072 - -53040706\/9. Let g = 2\/2253 - f. Calculate the common denominator of g and 7\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l**2. Let d(y) = -12*y**2 - 14. Let s(f) = -f**2 - 1. Let u(v) = -d(v) + 8*s(v). Give c(u(x)).\nAnswer: -176*x**4 - 528*x**2 - 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101110 (base 2) to base 6.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -523853 (base 10) to base 7\nAnswer: -4311161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-four fifths of a gram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 1c?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6.5, -4, -2, 1\/5, -2\/9?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a factor of 1969406055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38.2 - 38.1. What is the biggest value in c, -258, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 3*a**2 + 11*a - 14. Determine j(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1830009 and 0.3.\nAnswer: 0.4830009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*a, 37*a + 373 = -2*f + 32*a + 380 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -317258, 5, -1.\nAnswer: -317258, -78, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 + 1162*n + 7044 = 0.\nAnswer: -6, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 11) to base 5.\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/15 + (168\/(-180))\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:18 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56 or 43?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:27 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2194 - -2198. Solve -5*h = -13*v + 9*v + 13, 2*v - 14 = r*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004528 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3\/(-2) + 2). Let f(u) = u**3 + 2*u**2 - u. Let d be f(t). Suppose -5*a - d*q = -178, -44 = 2*a + q - 116. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-6) - (-11 + 20 - 2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*n - 24 = 0, u + 9 = -4*n - 12. Let z be 44\/45958*4182\/(-4) + (-2 - 18)\/(-20). Is u bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -12. Suppose -5*v = 5*d - 135, d = -m*d. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:02 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244 + -193. Calculate the highest common factor of 663 and b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3107, -3105, -3103, -3101?\n\"Answer: 2*i - 3109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 24760*u**2 - 419835*u - 1776600.\nAnswer: -5*(u + 8)*(u + 9)*(u + 4935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -42. Let d be (2\/c)\/((27\/42)\/(-9)). Let f(m) = m - d*m + m + m. Let z(r) = r. Determine f(z(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/4)\/(1\/(-2)). Suppose l + 3 = 5*x - 6, -2*x + 90 = -4*l. Let g = b - l. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 - 519510*j**2 + 1039024*j = 0. What is j?\nAnswer: -519512, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + -144 + 59 + -67?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrngdrfgf. What is prob of picking 1 w and 2 g?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -w - 2*w + 85, -5*w + 95 = -x. Solve 0 = -5*d - 25, 0 = -2*m - 2*m - 4*d - w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**6\/40 - z**4\/12 - z**2 + z. Let n(l) be the first derivative of m(l). What is the second derivative of n(g) wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3955.\nAnswer: 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.1 and 63?\nAnswer: 195.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439369 is divided by 131?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -297*p + 6332. Give g(21).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 854, 857, 854, 839, 806, 749, 662, 539?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 - 26*o**2 - 19*o - 29. Let u(c) = 3*c**3 - 13*c**2 - 9*c - 14. Let y(i) = -4*r(i) + 7*u(i). Let d be y(-12). Solve -4 = -d*p + 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1199026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbtevcbcvtvbvvtbv. Give prob of sequence bvvb.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -11*p**6\/30 - 5*p**4\/12 - 18*p**2 + 54*p + 1. What is the first derivative of v(b) wrt b?\nAnswer: -44*b**3 - 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -9\/88, -15.\nAnswer: -15, -9\/88, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(54)\/sqrt(2)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1136*a**2 + 399 - 399 + 3274*a**2.\nAnswer: 4410*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -7. Let b be (g\/2)\/((-1)\/2). Suppose -b*d + 5*d - m = 6, -2*d + 6 = 3*m. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let g(u) = -6*u + 1. Let t(o) = g(o) + j(o). What is the smallest common multiple of 5 and t(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-54))\/((-30)\/225)*27\/540*16.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s. Suppose -6*g + 11 + 13 = 0. Give v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*k + 4 + 2 = 0, n = 2*k + 18. Suppose z = -4*s - z + n, 20 = -s + 4*z. Suppose f = -3*x + 2376, -4*x - f - 4*f + 3179 = s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140608 and 369096.\nAnswer: 2952768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13795 - -80.64205. Round t to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 4b?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + -2 - 91 - (-20 + (128 - 120)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000100 (base 3) to base 9.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q**3 + 24*q**2 + 264*q. Let n(w) = 8*w**3 + 11*w**2 + 133*w. Let r(a) = -4*k(a) + 9*n(a). Find the second derivative of r(h) wrt h.\nAnswer: 24*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 65. Suppose -3*n - 22 - j = 0. Round n to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -5. Suppose -3*b = 3*o - 0*o - m, b - 11 = -4*o. Solve 4 = o*y - 0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -5 (c) 1\/3 (d) 12 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 10*y + 39. Let a be c(-3). Suppose a = 4*l - 5*l + 275. Is 73 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2425332.6 seconds?\nAnswer: 40422.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/23)\/((-3)\/(-1))*4\/34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 21 = 2*r + 3*r, 3*r = 3*l. Let p be (r\/(-2))\/(9\/48). Suppose -p*k + 177 = -263. Calculate the highest common factor of 22 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2195201 smaller than -2195206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/(2\/(-8)). Let u be 2 - -1 - (-4 + 12). Let o(w) = -10*w. Let v(d) = -9*d. Calculate h*v(t) + u*o(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(sqrt(1573) + 1)*1*-4 + -3)**2 + 1.\nAnswer: 8096*sqrt(13) + 403218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173.94 + 174.6657. What is w rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - c**2 - c - 2. Let w(y) = -3*y**3 + 1966*y**2 - 1287074*y + 281011377. Let v(x) = 2*q(x) + 2*w(x). Factor v(l).\nAnswer: -2*(l - 655)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 56. Suppose 2*c - 2*q + 14 = 4*c, -3*c - q + 13 = 0. Let h be (c\/(-24))\/(13\/(-4)). Is j bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5378505?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**5\/10 - j**4\/6 + j**3\/2 - 3*j**2\/2 + 13*j. Let f be p(-4). Let h be 5\/f*-5*3. Is h bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 n when four letters picked without replacement from bnnnssnbbssnsssbngsn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1305*p - 11845. Give m(-8).\nAnswer: -1405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 4. Suppose 7 + 34 = -5*t + n, 0 = -f*t - 3*n - 21. Let j = 10 + t. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05812 less than 0.032?\nAnswer: -0.02612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 divided by 2.\nAnswer: -179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2057) + -1)**2*1*-1 - ((-1 + sqrt(1700) + 1)*6)**2).\nAnswer: -63255 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 + 8*m**2 + 7*m + 8. Let l(z) = -2*z**3 + 7*z**2 + 6*z + 7. Let b(w) = -4*l(w) + 3*t(w). Determine b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9780478849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 753 and 7382161?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*46\/((-2668)\/783)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343191.3 micrometers to centimeters.\nAnswer: 34.31913","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239779929*i**3 + 54*i**2 + 2438695 wrt i.\nAnswer: -1438679574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21122 - 2201001120220?\nAnswer: -2201001212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 700648051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.84948822 rounded to the nearest integer?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/5845459 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(130)*-3)\/(sqrt(1210)*4).\nAnswer: 15*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2 - 8. Suppose 3*z + a - 114 = 2*a, j*z - 4*a - 123 = 0. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/3 + 3695612*a = 0.\nAnswer: -5543418, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-63))\/(14\/(-98))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -137 + 131 - (2 - -6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.87 - -0.13. Do -0.1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 + 40)*(-1 + 1) - (-59 + -5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13248, 52390, 117434, 208380?\nAnswer: 325228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 10*a + 4 = a + 14, 3*f - 85*a - 410 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234852.\nAnswer: 2, 31, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.066668 and -396533216.\nAnswer: -396533216.066668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 + 124. Suppose 4*o - m = 1677, 4*m - m - 403 = -o. Let z = 7944\/19 - o. Which is the closest to 0.3? (a) g (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 120765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.5. Let r be 5 + (-2 - (4\/(-20) - -5)). Which is the second smallest value? (a) -2\/9 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 688*s**2 + 4*s + 3. Suppose t + 4*d = -10, -4*t + d = -5*t - 4. Is l(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188007629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 0, -2*v - 4 = 2*i - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 322541 and 0.561.\nAnswer: 322541.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 11*n + 5 = 0. Suppose y - 6 = -2*y. Solve r - y = -n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -38.3. Which is the nearest to -3? (a) f (b) -2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -443559.\nAnswer: -34\/443559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**5)\/u*u\/(u*u**7))\/(u**1\/(u\/(u*u**(-4)*u))))**(-20) assuming u is positive.\nAnswer: u**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -10*a**5 - 2535*a**4\/2 - 41285*a**3\/2 + 52320*a**2 - 11770*a = 0.\nAnswer: -107, -22, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**0))\/(x**(-2\/57)*x))\/((x**(-4\/5)*x)\/(x\/x**(2\/41)*x)) assuming x is positive.\nAnswer: x**(9188\/11685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4 + 42799*p**3 + 2435321*p**2 - 5886871*p + 1690114 = 0.\nAnswer: -59, 1\/3, 2, 14323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.3. Let x be (-2)\/3 + (-91875)\/252. Let m = -363 - x. Sort q, m, 3\/8.\nAnswer: q, 3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i + 15. Suppose -19 = t - i. Solve z - t*z - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 2*b**3 + b**3)*((1 + 5 - 4)*(-211*b - 85170 + 85170) - 2*b + 5*b - b + 5*b - 5*b + b + (b + 1 - 1)*(0 + 2 + 0) - b + 2*b + 0*b)*(-5 + 2 + 1).\nAnswer: 1664*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 17 - 138)*(-x**2 - 2*x**2 + 2*x**2) + (4*x + 0*x - 2*x)*(x + 3 - 3) + x**2 - 2*x + 2*x as u*x**2 + n + t*x and give u.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5872 is divided by 90.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Let u be 3*(w\/(-2) - -8). Calculate the highest common divisor of u and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 76, 114, 170, 250, 360?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 1. Let f(s) = -s. Let x(v) = -2*f(v) + r(v). Let k = -2 + 3. Let y be x(k). Put -3, -2, y in decreasing order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (3 + -1)\/1. Solve d = -4*v + 4*d - 2, y = 2*v + 4*d + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(3 + 1 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -76.57. Let b = u + -3.4299738. What is b rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 144 + t + 74 + 70.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(54\/10 + -5). Calculate the greatest common divisor of 40 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.19211 rounded to one decimal place?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 - 383 = -20*j + 69 + 557 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422033 + -42210?\nAnswer: -1014243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/220 and -89\/291452.\nAnswer: 16029860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*c**2*u**4 - 147*c**2 - 29794*c*u**2 + c*u - 232*c - 2*u wrt u?\nAnswer: 1380*c**2*u**2 - 59588*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 328*h**4 - 2*h**2 - 747. Let c(v) = 656*v**4 - 5*v**2 - 1493. Let m(f) = 5*b(f) - 2*c(f). What is the first derivative of m(n) wrt n?\nAnswer: 1312*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 34*l + 240. Let p be h(38). Let j = -384 + p. Solve j*b + 8 + 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyeeyieheihhiheeehe. Give prob of picking 1 e and 1 h.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804 - 131 = -32*p - 431 + 1224 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792013 to the power of 1\/2, to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (-6 - -12 - -4 - (9 + -7))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/(-3)*((-3)\/(-42))\/((-28)\/112)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 322146 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212.6 + -213. Let c = 7 - 11. Let y = 0.061 - 0.261. Put 0.4, y, c, s in descending order.\nAnswer: 0.4, y, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/6)\/(7 + 45507202\/(-6501042))?\nAnswer: 3, 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -16*q + 290. Let u be l(18). Is 26\/27 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(2\/7)*s*s**(1\/3))**(-21\/4)*s\/s**(-3\/2)*s**(2\/11)*s**(-4\/9)\/(s\/((s\/(s**(1\/4)\/s))\/s)) assuming s is positive.\nAnswer: s**(-5549\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(26))\/sqrt(2) + (sqrt(1872) + -4)**2.\nAnswer: -92*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1972 - 16068 - 4781 = 181*d + 852 for d.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from btbtbbtttt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*v + 3*l, 0 = -4*v + 4*l + l - 9. Let m be (-21)\/(-9) + (26\/v - -5). What is the closest to -3 in m, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 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: What is the value of (-3)\/(655\/30 + -8 - 14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144708334*q - 55913446 with respect to q.\nAnswer: -144708334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 0*o**2 - 3*o**3 + 2*o**2 - 8*o**3 to the form f + a*o + d*o**2 + h*o**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1314 - -1316. Put -5, w, 1, 15 in decreasing order.\nAnswer: 15, w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4223578718.\nAnswer: 2, 2111789359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1212\/3005 - 2\/601. Let v = 22 + -20. What is the second biggest value in l, v, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*h - 20, -2*d - 4*h + 11 = 43. Calculate the common denominator of (d\/(-28) - -3) + -3 and 47\/46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -2*(sqrt(228)*1 - sqrt(228)))\/sqrt(12) - (-4 + -2*sqrt(1216))**2.\nAnswer: -4880 - 127*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 12*x**2 + 6*x - 14. Let b be q(9). Let a = -304 + b. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3*o + 4. Let x be k(-3). Suppose -35 = -9*i + x*i. Let t(y) = y**2 - y + 1. Calculate the remainder when t(-3) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 43 + (1 + 2 - (1 - -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2532821.472 to the nearest 1000.\nAnswer: 2533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -11188.1354 to the nearest integer.\nAnswer: -11188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194 - 194.2. What is the smallest value in 0.04, 1\/6, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1810 and 1590?\nAnswer: 287790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413 - 206. Suppose 2*d - 164 = 3*c, 5*d + x = -4*c + 617. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 5:06 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {f: 8, w: 7, l: 2, o: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h + 19 + h**3 + 20 + 0*h - 6*h**2 - 45. Determine y(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -450*u - 609. Calculate a(-1).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -34*k - 2. Let b(t) = 12*t + 4. Determine b(l(q)).\nAnswer: -408*q - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10917*o + 3657*o + 3654*o + 3644*o.\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1419*w = -1278*w - 11585124. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*-2*sqrt(405) - (4 + -1 + sqrt(405)))**2 + (-3*-2*3*(sqrt(405) - (sqrt(405) + -2)))**2 + -1.\nAnswer: 3564*sqrt(5) + 295379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 2451735.\nAnswer: 19613880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788112667.\nAnswer: 3, 1483, 626683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 33*m = -29*m - 435, -2*c + 4*m = -146. Solve -13*r - 8 - c = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.6 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3214514 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 516.999347 - 517. What is l rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -9. Suppose f - 2*x - u = -0*x, 0 = 3*x - 15. Suppose 24*y + 14514 = f*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.04748 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 700 = 9*i. Suppose 3*m = 4*q - 80, 5*q - i = -m - 2*m. Calculate the smallest common multiple of 10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnndddnnnnxndxrr. Give prob of picking 1 d and 1 n.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 + 10*v**2 + 8*v + 3. What is i(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (356\/6675)\/((-96)\/60)*-2490.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2\/7 - 105366*u + 1475180 = 0.\nAnswer: -368795, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (415\/1494)\/(330\/1188).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -23. Let f(o) = o**2 - 12*o + 3. Let p be f(12). Suppose -4*h + 19 = -p*v, 0 = 5*v - 9 + d. Sort -3, h, -1 in increasing order.\nAnswer: -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-4 + sqrt(2448))*-1).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1935 + -1303. Suppose -10*w = -2598 - x. Suppose -w = -5*p + 482. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65632.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 554*t**2 - 18*t - 5. Let q(s) = 1664*s**2 - 53*s - 17. Let z(u) = 6*q(u) - 17*r(u). Find the second derivative of z(a) wrt a.\nAnswer: 1132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p + 405 - 461 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.26\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 444113447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -59, -2 in ascending order.\nAnswer: -59, -13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -2\/7, 0, 242346?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 61. Let j = -456 + 207. Is (4\/a)\/(2\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l + 242. Let m be c(29). Let x = m - -1457. What are the prime factors of x?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1667416 and 11354.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r - 704000. What is r rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/2 + 3*s**2\/2 + 3*s. Let v be p(2). Let u be (-16)\/(-15) - 10\/15. What is the third smallest value in -4, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82542177?\nAnswer: 3, 9171353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeceeheeejeeeoeeee. What is prob of picking 1 o, 1 e, and 1 h?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = w + 288, 0 = -4*c + 3*w + 117 + 262. Let g = c - 92. Let n = 2 - 2. Solve n*j - 25 = g*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 12*l - 16*l. Sort 4, l, -8, 3.\nAnswer: -8, l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*w = 266*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -822 by 26.\nAnswer: -411\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194*t - 105*t**3 + 37*t**3 + 65*t**3)*(-6*t + 0*t + 3*t)*(-2 + t + 2).\nAnswer: 9*t**5 - 582*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396815 divided by 465605?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21603210 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -1) + 2 + (-2)\/(-2). Let a be ((-10)\/(-9) - (-1)\/(-9))*u. Sort a, -0.5, 2\/19, -0.1 in decreasing order.\nAnswer: a, 2\/19, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -378146367 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bht when three letters picked without replacement from tbcciccccihiccccch.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/(6\/(-8)). Suppose -4*z + 4*q - g = 6, 0 = -2*z + 3*q - 6. Suppose z*u + 5 = u. Solve 0 = 2*k - k + u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3067225 and -1\/20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -18 in descending order.\nAnswer: 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (7 + -2) - (5 + -15)) + 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44878 divided by 164?\nAnswer: 22439\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -246 in -1, 0.5, -2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -43*n. Let h be p(1). Let s = h - -90. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1424 - -1424.0001238. Round i to six decimal places.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-2))\/(113815\/(-2060)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 8. Let z be ((-2)\/4*0)\/(-2). Let b be w(z). Let m(u) = -5*u + 5. Let l be (-1*(15 - 10))\/1*2\/2. Let q(f) = -3*f + 3. Calculate b*q(a) + l*m(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:23 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 419231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 43437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 4*y - 20, -2*s + 24 = 3259*y - 3266*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17053 divided by -27?\nAnswer: 17053\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73952605.\nAnswer: 5, 673, 21977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00102453 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-57)\/(-4) - 3\/12. Suppose 3*g - 4*q + v = 0, 5*q = 4*g + 5 + 14. Let h be (-4)\/g*(-6)\/(-12). Which is the closest to h? (a) -4 (b) -0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4 + q**3 + 3*q**2 + 2*q - 7*q**2. Let a be y(3). Suppose -4*g + 6 = 3*j, 0 = -3*j - g + 3*g + 6. Solve -a*b = j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 20*j - 29. List the prime factors of s(-16).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 34. Give p(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(39\/(-390))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/12)\/((-637)\/(-1092)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.11, -0.08 in ascending order.\nAnswer: -0.08, 0.11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 16 = -76. Let y = -1783\/8028 - 1\/8028. Which is the nearest to -1? (a) v (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -173?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*k = 5*a - 51*k - 65, -k - 26 = -2*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2. Let x be r(1). Suppose -z - 4*l = 8, -2*l + 6*l = x*z - 32. What is the remainder when z is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 38*i\/9.\nAnswer: 2*i*(i + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 189*f**2 + 1263*f - 1467. Determine c(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4919 + 0.49152351. Round s to five dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2217405 is divided by 3514.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3434400809?\nAnswer: 7, 17, 83, 347717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33922)\/70 + (-6)\/15. Let x = s + 490. Let 2\/9*h**2 - 2\/9*h**4 - 2\/9*h**3 + 0 + 0*h + 2\/9*h**x = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1125 + -718. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 4*n**4 + n**4 + (n**3 + 2*n**3 - 2*n**3)*(-3*n + 2*n + 3*n) - 18*n**4 + 13*n**4 - 17*n**4 - 64*n**4 - 47*n**4 + 131*n**4.\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 94.1. Let i = 523.2 - 523. Which is the closest to 0? (a) -0.4 (b) 0 (c) i (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfw when three letters picked without replacement from ffwwww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1)*-1 + 2. Suppose -3*i + 6*i = 348. Let r = m + i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 138*r + 140.\nAnswer: -2*(r - 70)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.049 (c) -0.03 (d) -224\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 - 2*s**2 - 7*s + 4. Let j(q) = 3*q**3 + 3*q**2 + 6*q - 3. Let a(n) = 3*j(n) + 2*u(n). Let o be a(-3). Is ((-1)\/2)\/(o\/(-100)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (3 - 60\/9)*-3. Solve 21*h - 28*h = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9206, 18424, 27656, 36908, 46186, 55496?\nAnswer: 64844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*u - 2202, 3*u + 521 = -4*p + 4881. List the prime factors of p.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 6*i + 34 + 2*i**2 - 34.\nAnswer: 3*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*c**2 + 11*c**2 - 61*c**2.\nAnswer: -434*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-329)\/(-329))\/(1\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*k, 3*d - 3*k + 21 = d. Let w(u) = 21*u**2 - 10*u - 34. Let s be w(d). Let n = 477 + s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -19175, 0.2, 1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9564, -19115, -28666?\n\"Answer: -9551*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a + 6. Let x be j(-4). Let f = x + -46. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3116 rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i + 17*i - 3050 = -14066. What is the remainder when 948 is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 288574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*x + 6, -4*r + x = -5*r - 3. Let y = 27 + r. Let m be (-4)\/(-3) - (-18)\/y. Solve 4*s - 10 = m*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/48 + 7*a**5\/120 + 7*a**4\/6 - 27*a**2. Let x(l) be the second derivative of k(l). Differentiate x(r) wrt r.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -2, -5, -10, -17, -26, -37?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5204 + 184.2196. What is q rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574028 + 0*(-1)\/(-7) + 9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + 23. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/19 + -44\/57. Let q = 4 + -1. Which is the third biggest value? (a) w (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 123 - 207 = 0. Suppose 4*j = 6*j + s. Let x = 52 - j. What is the remainder when x is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -36.23. Let y = -0.294 + k. What is y rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001110101000000111 (base 2) to base 9\nAnswer: 540688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -154e + 4?\nAnswer: -154a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5 + 34*c**4 + 76*c**3 + 4*c**2 - 74*c - 38 = 0.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1448 (b) 3 (c) 5 (d) 8\/13 (e) 0.5 (f) 0 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30179 = 1891*h + 35*h - 12193 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56145 and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 1\/6 (b) 1\/4 (c) 9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -9*(-60)\/(0 - 4). Let n = -131 + g. Solve -3*x - x - n = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v + 2 - 27*v - 2*v - 11 - 50 as g + d*v and give d.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2653 bigger than -2653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1802*w. Let p(s) = 9374*s. Give i(p(j)).\nAnswer: -16891948*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpb when three letters picked without replacement from ppobpppobb.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38607811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/197, -21\/71, -2\/13, -0.4 in ascending order.\nAnswer: -0.4, -21\/71, -2\/13, 2\/197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29, 41, 57, 83, 125?\n\"Answer: p**3 - 4*p**2 + 17*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5573 (b) 5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14285111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 15*s**2 - 12*s + 2. Let i(l) = 3*l**3 - 16*l**2 - 13*l - 5. Let o(z) = 4*b(z) - 3*i(z). Calculate o(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.36 - 21.36. Let u = a - -21.1. What is the nearest to -3 in 1, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v**3 - v + 1. What is the remainder when (0 + -1)*1*-27 is divided by c(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 9:45 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 25*p - 20. What is w(-6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2 - 4. Let i(f) = -174*f + 2. Let m be i(w). Is (-1)\/(1\/m*2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = -2*n - 3*n, 5*t - n = 52. Solve 0 = d + 5, -5*v = 3*d + t - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 divided by 8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461481397.\nAnswer: 13, 337, 105337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 15. Give g(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 + 3*n**2 - 10 - 14122*n + 14124*n.\nAnswer: 16*n**2 + 2*n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/4)\/z**5)**(-3\/7)\/(z**6\/z**(-8))**(2\/37) assuming z is positive.\nAnswer: z**(881\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 20*x**2 + 222. Determine j(20).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1138*h + 1126*h + 110 - 3383*h + 1127*h)*(-4 - 3 + 5)*(1 + 2*h - 1) to the form r*h**2 + b + i*h and give i.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + (-16496)\/36. Let b = -58 - q. Round b to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 + 10. Calculate q(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5 + 10, 557 = 5*l + v. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -1\/3 (c) -551\/7 (d) 2 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32781*o + 7380 = 29091*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5\/12, -0.4, 2\/11 in ascending order.\nAnswer: -5\/12, -0.4, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 202 - 61 + 14*c**2 - 70.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 5*k + 4*k)*(3 - 1 + 0).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 1152*a = -1155*a - 11, -3*a - 9 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 19*d**2 - 32*d + 24. Let x be t(-17). Let o be x\/(-3)*(-6)\/(-10). Solve 5*g = 5*r - 0*g, 6 = -o*r + 5*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (120\/(-36))\/(4 + 56\/(-12)). Suppose 3*t = -x*d - 11, t - 9*d = -13*d - 13. Solve v - 6 = -2*n, 5*v + 1 = t*n - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5638 + 2196 - 12679 = -1498*p + 13131 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*f = -32609, 33*t - 38*t + 7*f = -163005. What are the prime factors of t?\nAnswer: 2, 43, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g, 305 = -3*k + g + 644. What is the highest common divisor of k and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 = -d - 136, -2*d - 292 = -5*a. Let v be (-6)\/a*-5 + 25\/2. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 150157767+-0.5\nAnswer: 150157766.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1054?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1842*r - 29487. Calculate s(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 660*v**3*z**5 + 109634*v**3*z**2 + 3*z**5 wrt z?\nAnswer: 39600*v**3*z**2 + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c (base 15) in base 9?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - i**2 + i - 1. Let a be w(-2). Let q = -5 + a. Suppose 2 + q = -3*b. Put b, 2, -5 in decreasing order.\nAnswer: 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 + -144. Suppose -498 = -u*i + 3*s, -2*s - 215 = 2*i - 551. Calculate the remainder when i is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8) - 159\/(-12). Suppose u*x - 93 = 11*x. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - -158. Let m be 0 + (-2)\/((-2)\/x). Suppose 4*f - 3*o - m = -3, 0 = -5*o. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 9) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/13))\/b**(3\/5))**(-18) assuming b is positive.\nAnswer: b**(-288\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f - 3. Suppose 15 = -10*r + 5*r. Let h be t(r). Suppose -10 = -h*g + 26. Solve g*b + 3 = -17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14202 - -21151. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 0*h + 0*h)*(3*h + 0*h - h) + 5996 + 21*h - 5578 - 8*h**2 + 7*h**2 in the form v*h + t + z*h**2 and give t.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*s + 258*s + 2 - 320*s + 54*s.\nAnswer: 208*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -869*v**3 + 3*v**2 - 3*v - 1. Does 4 divide t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(1\/35)*i**(-1))\/(i**13)**(4\/15) assuming i is positive.\nAnswer: i**(-157\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 18. Let h = -21 + r. What is the second smallest value in -2, h, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513932 at most 4513921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68908572 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18855 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156369 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -33*t**2 - t + 1. Suppose 0 = -2*p + 7*y - 2*y - 8, -4*y + 7 = -p. Let s be o(p). Let g = 52 + s. Calculate the remainder when 56 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(52)*1 + sqrt(364)\/(4*sqrt(7)))*-6*3*6 + -1)**2.\nAnswer: -324*sqrt(13) + 341173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1211, -2543, -3873, -5201, -6527?\n\"Answer: r**2 - 1335*r + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 83.6. Let l be 8\/350*2\/(-4). Let s = l + 52\/175. Which is the nearest to -0.1? (a) -0.3 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/10*(-4 + 32\/(-12)). Solve h + v*h = 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5052061.\nAnswer: 7, 29, 41, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.18 + -3.68. Let n be ((-6)\/15)\/((-160)\/150). Which is the nearest to -1? (a) n (b) -4 (c) t (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12246022 - 1?\nAnswer: 12246021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153*x - 233072 = 2059*x + 1175*x for x.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/7))\/w)**28)**3 assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 10141.\nAnswer: -4\/10141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*b = 114*b + 18 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -33*i**2 + 14*i**2 + 20*i**2. Let u(b) = 8*b + 3*b - 4*b - 3*b. What is x(u(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46921 + 4\/2)*(-7 - (6 - 6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 8*f**3 + f**2 - 9*f + 9*f - 9*f**3 to t*f + o*f**2 + q + h*f**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 137992321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0699 + -0.0301. Let q be 62\/(-4) + 1\/(-2). Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 9\/4, 0.5 in decreasing order.\nAnswer: 9\/4, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.110065 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 18414.\nAnswer: -41\/9207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 987.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 + -4 - (2 + 3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 297924820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21532545, -21532543, -21532541, -21532539, -21532537, -21532535?\n\"Answer: 2*n - 21532547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1.5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/9*x + 16\/9*x**3 - 14\/9 + 4\/3*x**2 + 2\/9*x**4.\nAnswer: 2*(x - 1)*(x + 1)**2*(x + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -632*j + 46*j - 172*j in the form f*j + p and give f.\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8 + (-126)\/189)\/(1\/2). Put q, 2\/5, 0.059, -8 in ascending order.\nAnswer: -8, q, 0.059, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -17. Let z = -6 + f. Which is the third biggest value? (a) z (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 110 = 6*c. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -208*l + 1886. Give g(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Let n be (0\/(16 + -11))\/(2\/(-2)). Which is the second biggest value? (a) t (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 != -101336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 14. Let z(u) = 2*u - 28. Let k(r) = 5*n(r) - 2*z(r). Let d be k(12). Let b = -7442 - -7438. Sort d, 6, 0, b in decreasing order.\nAnswer: 6, 0, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.24 plus 804?\nAnswer: 814.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*j**2 - 104*j**2 - 85*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 0, -5*g + 4*p + 6 = 21. Let l = 1 - g. Suppose 3*x = -2*h + 11, l*x = -h + 3 + 5. Solve 0 = 2*i + x - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 58*p - 56.\nAnswer: -2*(p + 1)*(p + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i. Let d(j) be the second derivative of 161*j**3\/3 + 3*j**2 + 2663*j + 2. What is l(d(n))?\nAnswer: -966*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 10296?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3\/6 - s**2 - 2*s. Let h = 28 + -10. Calculate the smallest common multiple of h and m(10).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0*d + 10*d - 20*d + 9*d + 22. Suppose -v + 12 = v. What is the units digit of l(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*b + 26, b = -4*l + 3*b - 34. Let d = l + 14. Let q(o) = -13 + 2 + 6 + d - 6*o - o**2. Give q(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 810 and 60.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -232.\nAnswer: 3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, w: 2, t: 2}. What is prob of sequence qwqt?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98227 = 122*w - 46*w - 59169. Is 30 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 6:54 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 53*t. Let r(d) = -41*d**2 + 5*d - 160. Let h(k) = -21*k**2 + 2*k - 64. Let w(c) = -5*h(c) + 2*r(c). Calculate v(w(f)).\nAnswer: 1219*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -2\/3*d**3 + 1\/120*d**6 + 0*d - 1\/12*d**4 + 9*d**2 + 0 + 1\/15*d**5. Calculate i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)*d*(d*d\/d**(-22)*d)\/d*(d**0)**(-39) assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 40, -3\/5, -4, -2\/3, 1, 2\/25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -55, -23, -1.8, 5\/3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135 - 70. Let h(i) = 2 + 0*i + 3*i + 2*i. Calculate the remainder when z is divided by h(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**4\/12 - w**3\/6 - 68*w. Let j(t) = -2*t**2 + 2*t + 1. Calculate 2*j(u) + 3*k(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (6 - -4) - 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xffxfxfxff. Give prob of sequence ff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/2 - 4153*f**4\/2 - 4865073*f**3\/2 - 1107965263*f**2\/2 + 1117712029*f = 0. Calculate f.\nAnswer: -1927, -301, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-270)*12\/16)\/(3\/6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -55, -57, -61, -67, -75, -85?\n\"Answer: -y**2 + 3*y - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 777622861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1364 from -0.73740365.\nAnswer: -1364.73740365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 9*p**2 - 9*p + 13. Is w(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42833715 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/4*72\/(-45). Which is the second smallest value? (a) r (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 397*r + 2 - 406*r - 2*r**2 - 2*r**4 + 12*r**3 + 0*r**4 - 12*r**3 to m*r + o*r**3 + i + y*r**2 + w*r**4 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6816939 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1714494287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136103 is divided by 4177?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x - 25. Let q be r(-3). Let s be (9 + -10)\/((-330)\/164 + q). Let w = s - 22. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254276.\nAnswer: 2, 11, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -7. Let o = -4 + a. What is the closest to o in 0.4, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)\/(8 + 1). Let v = 1.2631 - 0.0161. Let c = v + -1.647. What is the second biggest value in k, 1\/5, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 372.74 - 375. Let c = 16.2 + m. What is c rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -28*m - 112. What are the prime factors of b(-26)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 8*p + 8 = -4*c, 12 = -2*c + 5*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -989*y**2*z + 65478*y**2 + 2*y*z + 27*y - 317*z wrt z.\nAnswer: -989*y**2 + 2*y - 317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.131? (a) 2 (b) 0.07 (c) 5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r)**(-36)*r**(-1\/2)\/(r*r\/r**(-2\/3)) assuming r is positive.\nAnswer: r**(-283\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - g = -26706, -j + 5*g = g - 5358. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 - -95. Let m be (-44)\/o*(-3 + (-264)\/(-80)). Let g = 39 + -38.8. What is the second smallest value in -1\/4, g, m, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, n: 1, x: 1, r: 1, f: 3}. Give prob of sequence axf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 5 - 1)*(4*a**4 - 56*a + 56*a).\nAnswer: -44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4433989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -31. Let k = -390.19 + 425. Let w = k + i. What is w rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:33 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1177, -1181, -1179, -1165, -1133, -1077, -991, -869?\n\"Answer: w**3 - 3*w**2 - 2*w - 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.46, -0.2, 1234 in descending order.\nAnswer: 1234, -0.2, -0.46, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/2)*(-15)\/70.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70, 69, 64, 55?\n\"Answer: -2*a**2 + 5*a + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 2*q)*(20 + 28 - 82 + 1 - 4 + 1 + (-3 + 5 - 1)*(0 + 1 + 1)).\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6. Let h(g) = -g**2 + 5. Calculate -5*d(o) + 6*h(o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4*m + 6 = 0. Let q = -1 + m. Let i = -3.6 + 4. Which is the closest to -0.1? (a) 0.1 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/3819 and -5\/323?\nAnswer: 64923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1347*p - 58164 - 40593 + 9855 = 0 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.018?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3634 and 2436124580?\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 86 + -154 + -68 + -4 + 4?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 72 + 57 = -47. Solve w*u + 6 = 0, -5*t - u - 12 = -9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 11*p + 1. Give y(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5130.531 minutes?\nAnswer: 0.50898125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1637704 to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/138 (b) -3\/7 (c) -3 (d) -0.3 (e) 1228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*s + 4*c, c = 5*c - 20. Solve 0 = 3*v - n - 1, -s*n = -3*v - 2*v + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*(-6)\/(-45))\/(-2). What is the nearest to -2 in 2\/13, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 38*u**2 - 13*u + 37. Is r(42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/28 - 4\/(-16). Let o = 2.806 - 2.706. Sort o, l, 2 in ascending order.\nAnswer: l, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p**3 + 26*p**2 - 8*p + 33. Calculate z(-8).\nAnswer: -2847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -2. Let m = -6 - r. Let z = 540.1 - 540. Which is the second smallest value? (a) m (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 110 - 114 + 8*w**3)*(-w - 2*w + 7*w).\nAnswer: 32*w**4 - 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 9, 0, 2\/19, -0.103?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1127 and 7987.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 m when three letters picked without replacement from {y: 2, f: 2, w: 6, m: 4, a: 2, g: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 7*g - 2*g)*(-4 + 1 - 3) - 4*g + 5*g + g + (6 - 2 - 3)*(3 - 3 + 2*g) to r*g + j and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627\/858*39*(32\/12)\/(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, -14, -6\/29, -2\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -16 - 6. Let i(z) = 0*z**2 - 5*z**2 - 2*z**2 + 3*z**q. Let m(u) = 3*u**2. Give m(i(r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 10:28 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*d - 998 = -940, -7*z + 82 = -4*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and 523?\nAnswer: 192464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i - 554 = -1118. Let t(j) = -8*j - 94. What is t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d - d)*(d**2 - 5*d**3 - d**2) + 0*d**3 + 0*d**3 - d**4 to k*d**4 + y*d**3 + x*d + n + s*d**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 12*i**2 + 11*i + 2. Let g be q(11). What is the first derivative of g + 2 - 1 + 6*o**3 wrt o?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -526, -2113, -4874, -8905, -14302, -21161?\n\"Answer: -16*v**3 - 491*v**2 - 2*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 856211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1125, -2270, -3415, -4560?\n\"Answer: -1145*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**3 + t**2 - 3*t + 4. Let f(n) = 6*n**3 - 4*n + 5. Let s(i) = 4*f(i) - 5*x(i). Let k be s(0). Sort 5, k, -21, -4.\nAnswer: -21, -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3882 and -142 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.11, -2\/9, 4, -1232, -4 in decreasing order.\nAnswer: 5, 4, 0.11, -2\/9, -4, -1232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 10:10 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9526*s**2 + s - 3332?\nAnswer: -19052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72625.\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30603 is divided by 204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-708)\/(-354) + (7 - 6). Factor 2\/5*p**j + 2*p + 0 - 1\/5*p**4 + 13\/5*p**2.\nAnswer: -p*(p - 5)*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 917*r**3 + 4*r - 4 wrt r?\nAnswer: 5502*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176*u + 113 wrt u.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkqkbqkbkkbqb. What is prob of picking 2 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cb2 (base 14) to base 13.\nAnswer: 3841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -12 + -3 - -11) + 0 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o**4 + o + o**3 + o**3 - 4*o**4 - 18*o**2 - 9*o**4 in the form g*o**2 + h*o**3 + b*o**4 + m + l*o and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1292, -1747, -2210, -2687, -3184, -3707, -4262?\n\"Answer: -m**3 + 2*m**2 - 454*m - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -2\/13, -0.09, 8, -58?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 + 17*i - 45. Give m(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -423 - 218*s**4 + 5030*s + 38 - 5030*s - s**3 wrt s.\nAnswer: -872*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z + 3. Let y(c) = -51*c - 13. Let x be ((-9)\/27)\/((-2)\/12). Let w(m) = x*y(m) + 9*r(m). Let k be w(1). Solve -4*q + k = -0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38740 and 680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.1777 centimeters to millimeters.\nAnswer: 871.777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7825.999990552 + -7826. What is d rounded to 7 decimal places?\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -959*n**2 + 1297*n + 1291*n - 3880*n + 1292*n to the form c*n + m + l*n**2 and give l.\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.157 - 0.557. Let y = -5.0544 + 0.0544. Let k = -2 + 1.8. Which is the closest to k? (a) 2\/5 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 10*i**2 - 4*i - 43. Give r(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5. Let j = -15 - -21. Let s = p - j. What is the third biggest value in 4, 2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:15 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17514 and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -337, -17, 519, 1271, 2239?\n\"Answer: 108*b**2 - 4*b - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3041 (base 5) to base 13.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 6:21 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1055*x*y**4 + 3*x*y**3 - 4289*x*y**2 - 2*y**5 + 2*y**2 wrt y.\nAnswer: 25320*x*y + 18*x - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/16 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/154)\/((-4)\/(-11))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000326 rounded to 6 dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 204782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.12, 1, -0.08, 3, -1\/3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2532104632671 and -7.\nAnswer: -2532104632678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (0 + 2)\/2. Let k(x) be the third derivative of -x**6\/120 + x**5\/20 + 5*x**4\/24 - 35*x**2 + 1. Calculate k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-28))\/((-324)\/(-567)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9290961 by 3.\nAnswer: -3096987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*m - 488*m**2 + 113*m - 222*m to the form d*m + g*m**2 + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53240 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*r**2 + c*r - 3*c - 76379*r**2 - 7*r + 562861 wrt r.\nAnswer: -4*c*r + c - 152758*r - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2824 - -2855. Solve 18*s + v = 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54330046 (base 7) to base 10\nAnswer: -4645969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48867 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 3*x**7\/70 - x**5\/30 + 17*x**2. What is the third derivative of w(l) wrt l?\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 91, 153, 239, 361, 531, 761, 1063?\n\"Answer: 2*k**3 - 6*k**2 + 54*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-120)*(-36)\/63.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189*h*x**3 - 18*h*x + x**2 + 12*x wrt x.\nAnswer: 1134*h*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 9) + 1 + (21 - 18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4563 divided by 986?\nAnswer: -4563\/986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6253698 or 6253694?\nAnswer: 6253694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and 19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 160955 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide -6 - (-1004 + 4\/4 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -838\/11 - -76. Let v = 11 - 11.5. What is the second smallest value in 0.4, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350.096 millennia in decades?\nAnswer: 535009.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 74. Which is the second biggest value? (a) -14 (b) j (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -70, -103, -134, -163, -190, -215?\n\"Answer: z**2 - 38*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -132326?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129213 is divided by 95?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9804 is divided by 9721.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - m**2 + 2*m + 3. Let j be w(3). Let y be ((-18)\/j)\/(26\/(-6)). What is the third smallest value in 0.3, y, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446281 is divided by 148423?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 10*x - 7. Let p(d) = d**2 - 19*d + 23. Let v be p(18). Determine h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 7 = -a + z, 0 = 5*a + 4*z + 10. Find the second derivative of 9*l + a*l**3 - 14*l**3 - 10*l wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 91, 109, 127, 145?\n\"Answer: 18*t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10110010110100001100 (base 2) to base 6\nAnswer: 23410512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091589398 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -31. Sort 0.03, -0.5, p in increasing order.\nAnswer: p, -0.5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 15, l - 5*f - 3964 = -0*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -175\/18 in -12, 0.4, 0.0381?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 13*a = 1078. Suppose 5*b - 26 - 29 = 0. Calculate the greatest common factor of a and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114227 + 114227 + 912*m in the form q + n*m and give n.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 39, -0.1, 0.1, -26, 0.16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:09 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let s = y - -4. Suppose 3*q = s*q + 11. What is the remainder when 20 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(2\/9)*d))**(-2\/5))**(-2\/63))**(-2) assuming d is positive.\nAnswer: d**(16\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.226 times -4\nAnswer: 0.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -22.04. Let i = k - 64.96. Let n = 64.68 + i. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0621 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*a*x*y**2 + 16*a*y**2 - 14*a*y + 2*a - 95190*x*y**2 wrt a?\nAnswer: 7*x*y**2 + 16*y**2 - 14*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19699 is divided by 3654?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -0.1, -4\/13, -6, -1.8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 226*r - 2155. Let l be u(10). Solve 4*n + 3*m = 23 - 33, n + l*m = 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxy when three letters picked without replacement from qxzyzqxxzxxxxqzzz.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 16, 24, 32, 40, 48?\n\"Answer: 8*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16730395?\nAnswer: 5, 11, 331, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192*d*t*y + d*t - 925372*d*y + 6*d - 6932*t*y + 2*y wrt t?\nAnswer: 192*d*y + d - 6932*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2 - 34 - 9)*(-3 + 2*p + 3) as b + o*p**2 + y*p and give y.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6064090229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1591655*2.\nAnswer: -3183310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*m**3 - 86*m + 86*m)*(-m + 3*m - 3*m)*(0 + 2 + 4) in the form z*m**2 + l*m**4 + r + j*m + c*m**3 and give l.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25173204 + -2?\nAnswer: 25173202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2587 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - s**4 + 30*s**2 - 3*s**3 + 9*s**2 - 65*s**2 - 5*s + 5*s in the form w*s**3 + c*s**4 + y*s**2 + m*s + k and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 366654.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 26943*d**2. Let o(r) = 2*r. Determine o(h(y)).\nAnswer: 53886*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -220422.45613 + 0.229?\nAnswer: -220422.22713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.210339 or -9?\nAnswer: 3.210339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 11404\/459 - 18\/(-153).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 2) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + 14\/(-9))\/(5264\/41736) and 13\/1710.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 184, 220, 316, 502, 808?\n\"Answer: 5*m**3 + m + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (138\/(-56))\/((-6)\/4). Let w = -8\/7 + i. Let f = -1 - -6. Which is the biggest value? (a) -0.2 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -16101*g - 112854. Give p(-7).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 2*t + 0*t)*(0*t + 2*t - 3*t)*(-2 + 27*t**2 - 41 + 20) to the form a*t**2 + i*t**3 + v*t + c + z*t**4 and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 52*o**2 - 9*o + 35. Let a(i) = 105*i**2 - 19*i + 75. Let v(u) = -6*a(u) + 13*l(u). Does 10 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 1\/30*l**5 + 0*l**4 + 1\/6*l**2 - 1\/9*l**3 - 1\/90*l**6 + 0 + 2*l. Let g(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2)\/(5 - (8 - -3)). Let a(i) be the second derivative of 0 + v*i**3 + 1\/2*i**2 - 3*i. Calculate a(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 6*q**2 + q**2)*(5*q**2 + 2*q**2 - 5*q**2) + (0 + 0 - 103*q - 196*q)*(q**3 + 4*q**2 - 4*q**2).\nAnswer: -305*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.0591936 rounded to two dps?\nAnswer: 13.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*n + 2 = 216*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**4 + 25402*n**3 - 33880*n**2.\nAnswer: 2*n**2*(n + 4235)*(3*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -w + 5, o + 4*w = 6*o - 2. Let c be 3*4\/16*-1. Let l = 0.2 + -0.1. Sort c, l, o in ascending order.\nAnswer: o, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 25, 45, 65?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 11. Let d be u(4). List the prime factors of 5*((-102)\/(-10) - d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 6. Let k be x(-8). Suppose 4*y - k = -y. What is the third derivative of 0*w**2 + 0*w**3 - 5*w**2 - y*w**3 - 5*w**3 wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(330)*-4)\/sqrt(6))\/(sqrt(1331) + (sqrt(1331) + sqrt(1331)*4 - sqrt(1331)) - sqrt(1331) - sqrt(1331) - sqrt(33)\/(2*sqrt(3) + sqrt(3))).\nAnswer: 96*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084*z - 198*z + 508*z.\nAnswer: 1394*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - z + 29)*(188 + 124 - 117).\nAnswer: -195*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-3)\/(-183)) - 1. What is the greatest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-17)\/16)\/(7656\/5104)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:38 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(288)*-5 + -3).\nAnswer: 18 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6, 7 = -18*x + 17*x + 2*l. Suppose 1 - 6 = -5*m. Sort x, -3\/4, 6, m in ascending order.\nAnswer: x, -3\/4, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850490.7us to nanoseconds.\nAnswer: 850490700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(10\/(-4) + 1). Solve 0 = -r*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 203 + -51745?\nAnswer: -51542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 11*r**2 + 6*r + 17. Let x be z(9). Suppose 0 = -6*c + x + 1. What is the highest common factor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 46*v**2 - 1907*v - 1166. Let i(g) = -54*g**2 + 1904*g + 1167. Let l(a) = -6*i(a) - 7*r(a). What is the first derivative of l(h) wrt h?\nAnswer: 4*h + 1925","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/6*6 - 7. Let a be 1*(277 + -2)\/1. Suppose b*h = -4*h + a. Sort -2\/7, 2\/13, h, 0.5 in ascending order.\nAnswer: -2\/7, 2\/13, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 28*a**2 + 52*a - 19. Let d be v(26). Is d smaller than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 42 = -3*w. Let s be 14\/w*705\/(-4). Which is greater: s or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 56 = 28*i + 4*z, 5*z + 1 + 14 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(153)) + 0 + sqrt(153) + 5 + sqrt(51)\/(2*sqrt(3)) + (sqrt(17) - (0 + sqrt(68))) + -1 + 0)**2.\nAnswer: 164*sqrt(17) + 28641\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0.02 (b) 1\/5 (c) 0.54 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (478*u + 3658 - 3658)*(66*u + 10*u - 12*u) to the form g*u + v + c*u**2 and give c.\nAnswer: 30592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (3 + 250\/(-34) - -1). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:53 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -40581\/16846?\nAnswer: -40581\/16846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let p be 1 + o + (3 - 0). Calculate the greatest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2112000212 (base 3) to base 4\nAnswer: 30012323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6025 (base 7) to base 8\nAnswer: -4035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-468)*-13)\/((-2)\/40). Which is the nearest to 0.2? (a) m (b) 0.5 (c) -1\/7 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*t = -1, 5 = 3*m - 3*t + 4*t. Let q(c) = m*c**2 + c + c - 2*c. Let z(v) = -v**2 - 1. Let i(s) = -5. Let u(x) = -i(x) + 5*z(x). Determine q(u(r)).\nAnswer: 75*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24261*v + 32588 + 11287 = 24274*v. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 5*y + 5. Let u(s) = -2*s - 48. Let v be u(0). Let i be 6\/(-4)*160\/v. Let p(o) = 3*o**2 + 9*o + 9. Determine i*p(c) - 9*j(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132733 is divided by 33182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by 42\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.3, 1, 99\/7, 22 in ascending order.\nAnswer: -0.3, 0.2, 1, 99\/7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52906559.\nAnswer: 37, 1429907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4438 = -314*o + 1612 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d. Let u(i) = -2202755*i**2. Calculate u(z(w)).\nAnswer: -79299180*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*m**3*u**4 + 5842*m**3*u**2 - 1031*m**3 - 10*m*u**4 - 4*u**4 wrt u?\nAnswer: 2760*m**3*u - 240*m*u - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -295 - -1469\/5. Let v = 1.4 + -1.5. Let z = -448\/5 - -90. Which is the nearest to 0? (a) r (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:13 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12*d**2 - 5*d - 8. Let h be t(-3). Suppose 3*p + 2*b - h = -0*b, 5*b = -2*p + 84. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/13 + 5850*n + 228132\/13 = 0. What is n?\nAnswer: -38022, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2 + k. Let d(o) = -5*o**3 + 3*o**2 - 4*o - 3. Let y(u) = 6*b(u) + d(u). Let n = 1891 + -1886. List the prime factors of y(n).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a0573 (base 14) to base 12.\nAnswer: 1043189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 4. Let r(m) = -13*m**2 - 35*m. Let i(s) = -8*s**2 - 25*s. Let c(j) = -7*i(j) + 5*r(j). Determine k(c(b)).\nAnswer: -162*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 12*c + 2. Let o be p(6). Suppose 0 = 5*g - 12 + o. Let m(v) = -v**2 + 7*v + 2. Let a be m(6). Solve 0 = -2*r - g*r - a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 290 = r + 332, -4*r = 8. Suppose -u - g = -5*u. Suppose 2*v - 41 = -u. Solve -v*z = -0*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(130) + (sqrt(130)*1 - sqrt(130))*5)\/(sqrt(110)\/(sqrt(44) - sqrt(11))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + (5 + -7 + (8 - -6) - -8)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*j + 13 - 18 = 0, 2*j + 12 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let g = 2.3 - 2. Let k = 3.7 + g. Which is the closest to -1? (a) -1\/12 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14900, 29798, 44696, 59594?\n\"Answer: 14898*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 915363 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, 0, 1, -1\/4, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 16*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/4)\/((-9)\/24). What is the units digit of 2\/q + (-68)\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 99 - 1023 = 0. What is the remainder when (-722)\/(-14) + 44\/d is divided by 98\/8 - (-3)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.64311 hours to weeks.\nAnswer: 0.46811375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6038*h**2 - 14*h**3 + 3043*h**2 + 16*h**3 + 3020*h**2 to g + i*h**2 + z*h**3 + r*h and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -1)\/(-1 + 3). Let m = 1 + 1. Let h = 9 + -1. Solve m*y = -s*y + h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590 less than 1656?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 5981588*b + 4472424375218.\nAnswer: 2*(b - 1495397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 155, 107, 59, 11, -37?\n\"Answer: -48*c + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7047872 divided by -1376\nAnswer: -5122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.859 - 0.041. Let y = -1.7 - j. Let i = -5.2 + y. What is the closest to 0.4 in 0.4, -1, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 507\/117 + 1\/6*-2. Let k(l) = 2*l**3 - 3*l**2 - 2*l - 13. What is the remainder when 174 is divided by k(w)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8950 >= -223753\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/160 and 31\/5.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -16*h**5\/7 - 30*h**4\/7 + 4*h**3\/7 + 32*h**2\/7 + 12*h\/7 - 2\/7 = 0.\nAnswer: -1, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 7*v**4\/12 + 4*v**3\/3 - 2*v**2 + 7*v. Let d = -50 + 54. Is h(d) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/2, 2\/13, 0.4, -29 in increasing order.\nAnswer: -29, -4, -1\/2, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:21 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5756557*n**3 + 2*n**2 - 2*n + 1739664.\nAnswer: 17269671*n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2244, -4478, -6712, -8946, -11180, -13414?\n\"Answer: -2234*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 7) to base 11\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -44518.\nAnswer: 12\/22259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 8 - 28. Let r be 5 - 3 - (1 + i). Solve 2*g = 4*w + r, 2*w + 3*g = -2*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k**(-2))\/(k*k**(-4)*((((k**(-4)*k)\/k*k)\/k)\/k)\/k)*(k**(-4\/7)\/(((k\/(k*k**0*k))\/k*k)\/k*k))\/(k*(k*k**(2\/5))\/k)**(-1\/21) assuming k is positive.\nAnswer: k**(1102\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*n**2 + 21 + 121*n**2 + 139*n**2 to the form l*n**2 + i + z*n and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - -100000?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 6*a + 4. Let x = 13 + -16. Calculate m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.066854 - -0.5.\nAnswer: -1.566854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 813 and -67882.\nAnswer: -67069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11108472 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*z - 2*x - 9, z + 2*x = 4. What is the least common multiple of z and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -13\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**2. Let i(u) = -4*u + 3*u - 102357*u**2 + 102336*u**2. What is q(i(t))?\nAnswer: 4410*t**4 + 420*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46\/(-35) - -1 - (-108)\/180. Let n = 16 + -26. Let z = -5 - n. Sort 0.06, s, z in descending order.\nAnswer: z, s, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.2 - 1.8. Let t = u - -9.6. Let y = 3 + -4. Which is the nearest to y? (a) 0.4 (b) 1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2384762 and 1784?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 10*d**2 - 20*d - 1. Let x be k(-8). Let g = -31 + x. Solve g = -0*h + h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*w + 13, -203*w = -205*w - 2. Put i, -6, 25 in ascending order.\nAnswer: -6, i, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Let v(f) = -2*f**3 - 3*f. Let l(z) = z**3 + 2*z. Let r(h) = d*l(h) + 3*v(h). Find the second derivative of r(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 179 + 4*r + 110 + r + 102 + 53.\nAnswer: 5*r + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*n - 445, 0*n = 3*h - n - 455. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*u. Let x = u + -5. Let t be (1 + -3)\/12 + 0. Which is the second biggest value? (a) -1\/4 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15717091813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 2:37 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0749 - 0.071. Let w = 0 + c. Round w to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*g**3 + 9*g + 61*g**3 + 5 - 130*g**3 to x*g**2 + u*g**3 + h + n*g and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than or equal to 63\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, l: 1, z: 4, s: 1, p: 5}. What is prob of sequence lgp?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-20)*1)\/(2\/(-10)). Let n be (-1)\/((-8)\/(-16))*s\/(-4). Suppose t = -n*t. Solve j + 3 = -t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1480007? (a) 3\/4 (b) -3 (c) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/5)\/(3\/(-5)) + 63230\/(-94836). Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*i - 5. Suppose 4*s - 2 = i*s. Suppose s*z = -z + 12. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/4))**(-1\/8)\/(k**(-16\/7)*k*k**(-12)) assuming k is positive.\nAnswer: k**(2941\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p + 38. Let v be g(-9). Let a(n) = n**3 + n + 1. Let z(r) = -4*r**3 - 5*r - 5. Determine v*z(y) + 10*a(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 220701389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 9. Suppose -10 = p + 1. Let d = -4 + p. Is 13 a factor of j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (16 + -13) - (7 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 5:36 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 4*a - 5. Let u(p) = p - 1. Suppose 0 = d + 4*d - 30. Let g be u(d). Calculate t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -13. Let u be 0 + a*(-1)\/2. Suppose 1 = u*x + 5*q + 20, -q = 5. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w + 2*w + 3*w + (0 - 3 + 4)*(-w - w + 0*w) + (w - 3 + 3)*(2 - 5 + 4).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - 5 - 2 + 570434*v + 3 - 570446*v + 4.\nAnswer: -7*v**3 - 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7 - 5 - 557*m**2 + 11.\nAnswer: -557*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 2\/25, -2308, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)*o)\/o)\/(o*((((o*o**4)\/o)\/o)\/o)\/o*o)*(o*(o**(-2\/3)\/o)\/o)**(-1\/2))**21 assuming o is positive.\nAnswer: o**(-175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10158 + 95325 + 61083 = 13455*k - 3657*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(2\/15)*(x*((x*x*x*x**3*x*x)\/x*x)\/x*x)\/((x*x**(1\/5)*x)\/x*x) assuming x is positive.\nAnswer: x**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1047962, -2095933, -3143904, -4191875, -5239846, -6287817?\n\"Answer: -1047971*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*9209.\nAnswer: -174971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 7.4674.\nAnswer: -5.22718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6))**(-34))**8 assuming g is positive.\nAnswer: g**1632","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 266460811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.48 (b) 7 (c) 55980\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3074953 (b) 0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = 5*q + 10, 4*t = 5*q + 85. Suppose 0 = -4*m - 1 - t, -4*m - 144 = -4*c. Calculate the lowest common multiple of 9 and c.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**2 - 1. Suppose -12*f - 10 = -7*f. What is w(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 + 3*f - 9. Let t be j(5). What is the second derivative of -t*w + 183*w - 3*w**2 - 2*w**2 wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (901*d**2 + 1794*d**2 + 184*d**2)*(-2 + 2 - 2*d - 1) to the form i + l*d + w*d**3 + n*d**2 and give w.\nAnswer: -5758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + (58 - -32) - 31.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/12 + 7*j**3\/3 + 29*j. Let c be q(14). Solve 0*g + 3*g - 9 = c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-7))\/(((-30)\/(-9))\/(868\/(-93))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 0.3, -1, -103, -5\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/120 - 7*o**5\/60 - o**4\/4 + 2*o**3\/3 - 3*o**2. Let r be i(-6). Solve -t = r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 2072?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = -4*g, -2*g + 5*g = 3*m - 12. Let w = 18 + -13. Let d be 0 + (-14)\/(-21)*6\/8. Which is the nearest to m? (a) 1 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(176) - sqrt(11))*-5).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - 2*d**3 - 2)*((4 - 2 + 0)*(-2 + 2 - d) + 3*d + 92*d + 27*d).\nAnswer: -240*d**4 - 240*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(12\/10))\/(25\/3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3944.915 - -3945. Let x = 0.09 + 0.027. Let z = x - h. What is z rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63756879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -62. Let c be ((-30)\/6 - m)*(-37)\/3. Find the second derivative of w**2 + 20*w + 8*w**4 - c*w**4 - w**2 wrt w.\nAnswer: -348*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 25*v**2 - 83*v + 1145. Is q(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1533, 5358, 11723, 20628?\n\"Answer: 1270*j**2 + 15*j + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**3\/3 + 2*m. Suppose 4*p - 11 = t - 2, -3*p - 5*t + 24 = 0. Let i(u) = 0*u**2 - 9*u**2 + p*u**2. Calculate i(k(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015347449 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: -34052 - -174234986\nAnswer: 174200934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/1638 and 29\/32.\nAnswer: 26208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.075 - 0.715. Let r = 0.69 + k. Sort -4, r, 5, -2 in descending order.\nAnswer: 5, r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -701.49684 to the nearest integer.\nAnswer: -701","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11. Let r = j - -17. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 76. Let x = 4 + -1. Let s(d) = d + 2. Let k be s(x). Solve -25 = 5*r + 4*f, k*f - 6 - a = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4 (c) 0.2 (d) -28487 (e) 0.4 (f) 0.1 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2035, -93, -5877, -17147, -35733?\n\"Answer: -305*l**3 + 2*l**2 + l + 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*v**6 + 57*f*v**5 - 239*f*v**2 wrt v.\nAnswer: 120*f*v**3 + 3420*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzlo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -15 - -49 - (18 - (-2 - 0)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 1. Let u(m) = -3*m - 1. Let c(g) = -4*j(g) - 5*u(g). Let v be 1 + (-2 - -2) + 2. Determine c(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129876173?\nAnswer: 7, 419, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781475618?\nAnswer: 2, 3, 13, 59, 387109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 - d**4 + 7*d**4 - d**4 + 3*d**4 + 0*d**4 - d**4 - 2*d**3 + 2*d**3 + 2*d**4 - 2*d**4 - d**4 + (d**3 + 0*d + 0*d)*(-d + d - d))*(3 - 3*d - 3).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**18*c*c*c)*(c\/(c**14*c))\/c)**(-2\/71) assuming c is positive.\nAnswer: c**(74\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10440)\/54520*4\/(24\/2).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/4 + 349*o**4\/4 + 1057*o**3\/4 - 349*o**2\/4 - 264*o = 0. What is o?\nAnswer: -3, -1, 0, 1, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q - 2*q + 0*q)*(-q + 4*q - 2*q) + (3 - 4 + 0)*(-q**2 - 3*q**2 + 0*q**2))*(0*q**3 + q**3 + 2*q**3).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218838 is divided by 494?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24969?\nAnswer: 3, 7, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 24*m**2 + 624*m + 2522. Calculate f(-4).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 500170*v**3 + 12510501965*v**2 + 100060008840*v + 200104013520 = 0. What is v?\nAnswer: -50013, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2.5. Let l = y + 2.1. Which is the third biggest value? (a) l (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = 3*h. Is h less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(2124\/(-87) + 25)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/132 and -49\/198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 510 - 188. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-242320)\/(-64))\/(0 - (-10)\/120).\nAnswer: 3, 5, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245664*q = 244710*q + 13356 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3*s**2*t**2 + 144*q**3*t + 105*q**2*s**2 - 2*q**2*s*t + q**2*t - 2*s*t**2 wrt s.\nAnswer: 2*q**3*t**2 + 210*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + g**2 - g**2)*(5*g - 6 + 6)*(-30280 - 208*g + 30280) to the form d*g + v*g**4 + h + l*g**2 + s*g**3 and give v.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 10*b + 1 + 6 + 3*b with respect to b.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -9*i - 8*i. Suppose i = -4*c - 2*p - 1173 + 3683, -1240 = -2*c + 4*p. List the prime factors of c.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1474, 1\/4, -16\/7?\nAnswer: 1474","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 98, 1, 2 in ascending order.\nAnswer: -5, 1, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*g**3 - 219*g**2 + 2*g wrt g?\nAnswer: -876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*u + 4 - 1 = -4, u + 5 = -x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 21*c - 6 = -9*c + 4*t - 28, -111 = 7*c + 3*t for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 3*c**2 - 6*c**2)*(c - 2*c + 5*c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**6\/360 - h**5\/40 + h**4\/8 + h**3\/6 - 6*h. Let g(k) be the second derivative of u(k). Give g(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 + 8. Let u(q) = 3*q. Let p be u(-1). What is the lowest common multiple of (-3)\/(p + 27\/12) and g(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150170, -150167, -150164, -150161, -150158?\nAnswer: -150155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -118671 + -7487.7.\nAnswer: -126158.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6125148*k**2 + 12886173*k.\nAnswer: -12250296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.554739m in micrometers?\nAnswer: 1554739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -56, -129, -240, -395?\n\"Answer: -x**3 - 10*x**2 - 4*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -319.5992 times -0.2\nAnswer: 63.91984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -90217 divided by 5030\nAnswer: -90217\/5030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6 + (-9 - (-721)\/84)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Suppose -q = 4*m - 111, -2*q + u - 5 = 0. Suppose -61*t = 18*t + 39*t - 2596. Calculate the smallest common multiple of t and m.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*v + 1762 = 0, 6*v - 1757 = -5*q + 3*v. Let o = -195 + q. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from ntttfnfftnff.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from {d: 3, v: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7699659 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 3*k**2 + k + 4. Let t(p) = 10*p**3 + 2252*p**2 + 12*p + 50. Calculate -t(q) + 12*x(q).\nAnswer: 2*q**3 - 2216*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, k: 2, j: 9}. Give prob of picking 2 j.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -27\/5, 1\/2, 3, 1, 125 in ascending order.\nAnswer: -27\/5, 1\/2, 1, 2, 3, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -204*l + 23. Is p(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38752, -77532, -116314, -155098, -193884?\n\"Answer: -o**2 - 38777*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6744888 by 36.\nAnswer: 187358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -69861.5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684.817 rounded to the nearest integer?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10*409*(-67)\/(-335)?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 4*w - 3. Let y be j(3). Let f(q) = q**3 + 4*q**2 - 3 + 6 + y*q**2 - 8*q**2. What is f(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(33)*-2)*-5)\/((sqrt(66)\/sqrt(3))\/sqrt(2)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/40*-6*29\/12 and 93\/34.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1\/7, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 325. Round y to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 0.3. Let g = 100 + -1102\/11. Let w = 3 - 2. Which is the smallest value? (a) g (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42303 - -210430?\nAnswer: 303233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*m + m - 4, m + 5 = 2*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2305510 or 29971648\/13?\nAnswer: 29971648\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 3*f - 1. Let s be u(2). Let g(y) = -y**2 + 32*y + 3. Suppose -10*p = -14*p + 128. Let o be g(p). What is the nearest to o in s, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19.08 in 7\/2, -0.1, 3\/7?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806941 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + 294*h + 2105. Calculate u(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3*r**2 + 1\/6*r**4 - 4\/3*r**3 - 10 - 11*r. Let a(i) be the first derivative of x(i). Factor a(k).\nAnswer: 2*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(190) + sqrt(190) + sqrt(190)))\/sqrt(10) + 4 + 5*(-2*sqrt(19))**2.\nAnswer: 15*sqrt(19) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4989096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Let l(d) = 77*d - 52. Let j(i) = -l(i) + 3*z(i). List the prime factors of j(-6).\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -8 (b) 19 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068 a factor of 1336730384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20047872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 5:40 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b - 4 = 0. Let k be (1 - (1 + b)) + (-55)\/(-44). Factor 3\/4*m**2 - 1\/2 + 1\/4*m - 1\/4*m**3 - k*m**4.\nAnswer: -(m - 1)**2*(m + 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27612, 110426, 248440, 441648, 690044?\n\"Answer: -t**3 + 27606*t**2 + 3*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23346 + 34088 = 26*n - 81142. List the prime factors of n.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.4, -77, -3, -0.12?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1284 and -49\/302?\nAnswer: 193884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17641683.6 plus -13.85?\nAnswer: 17641669.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:04 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 55*v**3 - v**2 - v + 1. Let q be l(1). What is the common denominator of (-3)\/q*(-354)\/(-9) and -5 + 10602\/(-1512) - 28\/49?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 12 = 2*m - g, 0 = -2*m + 6*g + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1)\/1 - (-34 + 32). Suppose -26160000 = 3*s - p*h, -h - 19936929 = 4*s + 14943071. Round s to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 - -5.9. What is the nearest to 0 in x, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45222 is divided by 76?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52, 177, 386, 679, 1056?\n\"Answer: 42*a**2 - a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -1099017*b + 1099013*b - 6, 0 = 6*u + 3*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g + 3 - 3*g + 12*g - 1.\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*b = 2*z - 11, 4*z + 2*b = 22. What is the third derivative of w**2 - 2*w**4 - w**4 - 3*w**4 + 5*w**z wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6104592534 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j - 3611 - 2085 = 0. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 27 + 42 - 41*f - 16*f + 6 in the form q*f + p and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119170113.\nAnswer: 179, 6252347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 58*t + 183. Let x be v(3). Which is greater: 362 or x?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34046, -34028, -34000, -33956, -33890, -33796?\n\"Answer: w**3 - w**2 + 14*w - 34060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*j - 6*i**2 + 17*i*j + 990*i - 2*j - 1 wrt j.\nAnswer: -2*i**2 + 17*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55635940 at most as big as 55635941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -186, -235, -64, 435, 1370, 2849, 4980?\n\"Answer: 18*l**3 + 2*l**2 - 181*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = -r, -j = -r - 4*r + 40. Let q be 18\/4*r\/(63\/4). Suppose 4*l = -2*z + 90, -l = 3*l - z - 87. Calculate the highest common factor of q and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3105?\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - a3?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let i be 203\/21 - (-1)\/f. Let w = 10 - i. Which is smaller: w or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240 - ((-9 - -23) + 111).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-702)\/(-36) - (-3)\/(-2) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-1)))\/o*o*o\/(o*o**0)*o)**(-3\/8)\/((o*o*o**(5\/3)*o)\/((o*o**(-1\/3)*o)\/o*o)*(o**(2\/13)\/o)\/((o*o\/(o**6\/o))\/o)) assuming o is positive.\nAnswer: o**(-359\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*d + 5*r - r, 0 = 2*r - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from csccp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from bbuub.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3747 - 6002 = 639*l + 5413 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2717 = -215*j - 2228 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -6. Suppose -30 = -3*u + 2*s, -2*s - 3*s + 40 = 4*u. Suppose 5*k - 2*z = u, k + k = 4*z + 4. What is the closest to k in 0, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:23 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 162*k + 6. Let u be z(1). Let s = u + -163. Let g = 2.1 + -2. Which is the fourth smallest value? (a) -21 (b) s (c) g (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1457)\/7285)\/(3\/330)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278477 is divided by 138.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-28)*7)\/(40\/420)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/7))**(1\/8) assuming q is positive.\nAnswer: q**(9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from jmtbtmbf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 18*l - 3. Does 16 divide x(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, 0.274, 2?\nAnswer: 0.274","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 equal to -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 12}. Give prob of sequence yd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42145*t**5 - t - 47462 wrt t?\nAnswer: 842900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6418343 - 6418337.9999952. Let m = b - 5. What is m rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-35)\/(-15) - -4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) + 2466920\/200 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -2*n**5\/55 - 5*n**4\/22 - 8*n**3\/33 + 44. Factor o(q).\nAnswer: -2*q**2*(q + 1)*(q + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = w + 58*o - 63*o, -4*o = 4*w - 68. Let a(t) = 3*t**2 - 46*t - 33. What is a(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312*u - 104721 = 1307*u + 3*v, 3*u = -v + 62827. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p - 3*l - 0, -4*l = 0. Let b be ((-4)\/p)\/((-4)\/10). Solve -5*w = 5*o - 40, 5*w = b*o + 3*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (-3 + -11 + 47).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -52 + -62 + 59?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031.832 times -2?\nAnswer: 4063.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2331 - -2371. Solve -11*q = -18 + n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 165*j - 177*j + 7)*(2*j + 0 + 0) as r + m*j**2 + u*j and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2799*k - 1493*k - 1480*k + 20706 for k.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -4 (c) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*j + 8902 = 2116. What is the greatest common divisor of j and 1651?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 10:26 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37833, 37835, 37837?\nAnswer: 37839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 4, j: 2, p: 1, s: 1, g: 4}. Give prob of picking 2 j and 1 s.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = 80*g - 220 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*s + 161*s + 603*s + 5*s + 41*s.\nAnswer: 873*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, 7\/8, -272, 0, -18, 0.5 in descending order.\nAnswer: 7\/8, 0.5, 0, -8\/5, -18, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = z + 3*z - k, 3*z - k = 68. What is the second derivative of 41 - z - 20 + 20*a**5 + 6*a wrt a?\nAnswer: 400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 102, 68, 46, 42, 62, 112, 198?\n\"Answer: f**3 - 41*f + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56705298, 226821181, 510347652, 907284711?\nAnswer: 1417632358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*p**2 + 0 + 1\/4*p - 1\/8*p**4 - 1\/4*p**3.\nAnswer: -p*(p - 1)*(p + 1)*(p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2782 + 3970*b**2 + 2*b**3 + 2807 - 3970*b**2.\nAnswer: 2*b**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 4*w**2 - 4*w + 7. Find the first derivative of p(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -47*i + 74 + 27. What is the highest common divisor of i and 233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14) - -1*sqrt(14)*6) + sqrt(14))\/(1*sqrt(448)) - ((sqrt(72) - (sqrt(72) + -2)) + sqrt(1800)))**2.\nAnswer: 116*sqrt(2) + 1686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259879 is divided by 86472?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*3*8\/(-12). Let g = 1 - -2. Solve -g*l - 18 = l - a, 5*l - o*a = -21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19603314 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*s - 183*s - 293*s + 2*s**2 - 156*s)*(5 - 4 + 3) to w + z*s + i*s**2 and give z.\nAnswer: -2572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 104166653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*a**3 - 94*a**3 - 80*a**3 - 82*a**3.\nAnswer: -183*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 415 + -258. Let s = 159 - j. Solve -k = 2 + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 8 + 0 + -22\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 10:57 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 9*k**2 + k - 4. Suppose 2*t = -3*q + 21, -q = 5*t - 0*t + 6. Let u be s(q). Solve 4*m - j + u = -2*j, m = -5*j - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r + 22. Let n be w(10). Let m = n - 101. Suppose 245 = -4*x + m*x. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 68*o**2 + 930*o - 9. What is v(-19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, q: 9, l: 1}. What is prob of sequence qqlq?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4 and 31\/405.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(891) + 2 - (sqrt(891)*-3*2)**2)*-5*6.\nAnswer: -1924440 + 1620*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: (16\/(-168))\/(1\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = m + 52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228*n**5 + 2*n**4 + 2*n**2 + 1582*n wrt n.\nAnswer: 4560*n**3 + 24*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 713 and 98831?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3196688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7024309977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/60 + l**4\/6 - 2*l**3 + 9*l**2. Let s be c(-6). Solve s = -2*v - 0*v, -5*n = 3*v - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263 + 392. Let b = -50 + s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(24\/(-28)) + (-15 - -38). Which is the nearest to m? (a) -5 (b) 0 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 7. Let k(x) = 4*x - 3*x - 1 + 0*x. Determine 2*k(h) + s(h).\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 + 8*o - 26. Let p be c(-7). Let l = p - -299. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 30. Suppose 0*i + 47 = -2*l + 3*i, 0 = -l - i - g. Let n = -11 - l. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028941 to seven decimal places.\nAnswer: 0.0000289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 12, h: 3, l: 1, b: 2}. Give prob of picking 1 q and 1 h.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343219 is divided by 416?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v. Let y(j) = 2*j. Let s(g) = g. Let f = 159 + -165. Let n(o) = f*y(o) + 14*s(o). Calculate r(n(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 51 + 41656*v - 124968*v + 41645*v + 41642*v + 28.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1964 + -117. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24044 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2896.474 rounded to the nearest ten?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = 16. Which is bigger: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 53*l + 3*l**2 - 10*l + 15*l.\nAnswer: 3*l**2 - 48*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/34 - -3617\/68. Let k = 3157\/60 - g. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywvywvyyvwywwwv. What is prob of sequence wvvy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - u - 1. Let d be o(-1). Let w = 7 - d. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*2)\/(34\/(-85)). Solve 7 = -v - b, 3*v - p*b - 11 = -0*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (2 - -2 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 787389767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from pppoopppppp?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 68*l**3 + 6*l**2 + 2*l + 31. Let k be i(-10). Let z = 13911 - k. What is z rounded to the nearest 1000?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3, 30.5, -6?\nAnswer: 30.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) -1\/2 (c) 4 (d) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.01 - 46.22?\nAnswer: -43.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -395\/18, 157, 0.074, 1\/5?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42 + 6\/(-1))*6. Suppose 0 = -9*o + 72 + m. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0841 (b) -0.3 (c) -2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 6 = 15*a. Let f be 3\/(18\/(-4))*1629\/a. Let m = 909\/5 + f. What is the fourth smallest value in 1\/12, -2, m, 2\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = f - 364, a - 394 = -0*a + 5*f. Let d = -210 + a. Let l = 550 - d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c - 5*c - 7*c - 1190 - 53*c - 41*c + 13*c**2 wrt c?\nAnswer: 26*c - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -151.9. Let t = -51 + 54. Which is the biggest value? (a) -0.03 (b) t (c) -1\/3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 668\/623 - 70\/89. Let b = -1.4 + -0.6. What is the biggest value in b, v, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59665640 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44370?\nAnswer: 2, 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1040\/8031 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93330 divided by 178.\nAnswer: 46665\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -37 in descending order.\nAnswer: 2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 31*s**2 + 400. Determine w(0).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/91)\/(((-5)\/(-3))\/1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 5*c - 2*r, -5*c - 2*r + 285 = 2*r. Suppose -5*y - 76 = -k, -2*y + 182 - 39 = 3*k. Let h = k + c. Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 29, 1\/6, -1007, -1.15 in increasing order.\nAnswer: -1007, -6, -1.15, 1\/6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.5 + 107.5. Let m = g - 143.644. Let b = 4.9 + m. What is b rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22123379 is divided by 136.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 1. Let l(s) = 2*s**2 - 5*s - 4. Let o(k) = -2*k**2 - 8*k - 7. Let f be o(-3). Give f*l(w) + 3*a(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 11*m + 24. List the prime factors of r(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:21 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((6 - 3) + -2)*82. Let s = -36 + q. Is 23 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -47*j**4 - j**3 - j**2 + j - 111. Let x(v) = -v**3 - v**2 + v + 1. Let b(f) = x(f) - z(f). What is the first derivative of b(p) wrt p?\nAnswer: 188*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*q + 5*q = 28, q - 14 = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.6 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2782 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 divided by -26?\nAnswer: -607\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7521622 to three dps.\nAnswer: -1.752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 3. Let b be y(4). Is -1\/8 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**2 + 9. Let z(w) = 18*w + 3*w - 16*w. Give z(v(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + n**2 - n + 1. Let l be a(-2). Let u = 17 + l. Let b be (-34)\/(-18) + 6 + -8. What is the biggest value in 3, u, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*m**2\/2 - 5*m\/2 - 4.\nAnswer: (m - 1)*(13*m + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63493 + 4?\nAnswer: 63497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/153*8\/12*-3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4824782 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 128078400?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3\/5 (c) 4\/3 (d) -0.5 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/3 + 2\/6. Suppose -4*m + 4*v + 28 = 0, -v + 35 = 5*m - y*v. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-165)\/175 - (218385\/(-12075) - (-6)\/10). Factor -1800\/7*c + 2\/7*c**4 - j*c**3 + 1920\/7*c**2 + 0.\nAnswer: 2*c*(c - 30)**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:35 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*a**3*v**2 - 2071866*a**3*v + 2*a**3 - a**2*v + 2511455*v**2 - 3*v wrt v?\nAnswer: -32*a**3 + 5022910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*k**3*r + 4*k**3 + 4*k**2 - 48507*k*r**2 + 33506 wrt r?\nAnswer: -5*k**3 - 97014*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 364. What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s. Let q(p) = -811603*p - 5. Determine q(d(t)).\nAnswer: 3246412*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 - -24)\/((-1)\/(-1)). Suppose -3*z + 135 = a*z. What is the remainder when 107 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (840 - 81*l - 840)*(52*l + 28*l + 14*l + 0*l - 8*l) as h*l + i*l**2 + b and give i.\nAnswer: -6966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -2. Let u be ((-8)\/v)\/((-10)\/(-315)). Is 14 a factor of (-3 + 4)*u\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17519 - -385525\/22. Find the common denominator of (-55)\/46 - (-4 - -1) and q.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -5, -4, 259 in descending order.\nAnswer: 259, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2. Let h(g) = 116649*g**2. Give w(h(t)).\nAnswer: -81641935206*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**7\/2520 - c**4\/6 - c. Let m(g) be the third derivative of o(g). Let v(d) = 7*d**2. What is v(m(f))?\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzw. Give prob of sequence wzwz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10*m + 12*m = 1767, -5322 = -3*c - 3*m. What is the smallest common multiple of 104 and c?\nAnswer: 14248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, c: 6}. Give prob of sequence czc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -6, -0.3, -278, -3, -6\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3115771*f**3 - f**2 - 1889285*f wrt f?\nAnswer: 18694626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:14 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(102)*1*-3*5)\/(3*sqrt(726)*-1*-5).\nAnswer: 6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10166?\nAnswer: 2, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852260 divided by 185226?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15282\/(-4272))\/((-1)\/(-2)). Let c = l - -36\/89. Find the common denominator of 101\/22 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*i - 0*i. Suppose 3*k + 23 = 2*p, -k = -5*p - 27 + 91. Suppose 0 = 6*a - 3*a + 6, -r + p = -i*a. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1096 and 1918.\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 i when three letters picked without replacement from {i: 17, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -216050*0.1\nAnswer: -21605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 7) in base 4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x + 3. Suppose -75*i + 12 = 78*i - 155*i. What is g(i)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, a: 8, b: 4}. Give prob of sequence ia.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-109)\/((-16023)\/(-210)))\/((-160)\/42 - -4).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 - 87296616901*j + 87296616901*j.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40010511 to the nearest integer?\nAnswer: 6325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-9)*(s*s**(1\/3)\/s)\/s*(s*s**(-2\/5))**(-41) assuming s is positive.\nAnswer: s**(-229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 - 4*f - 5. Let g be w(-4). Suppose 0 = -6*s + g*s - 65. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -473 + 950 - f - 476 in the form a + l*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(3 + -2 + -3). Let q be (16\/10)\/(o\/((-125)\/10)). Suppose 9*z - q*z = -2*a + 742, -470 = -3*z + 5*a. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/10 (b) 4 (c) 50.6 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 388, 1492, 3332, 5908, 9220, 13268?\n\"Answer: 368*x**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95671 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 90 - 118 = 0. Let p = d - -53. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 20 - 18 + 14)*(-436 - 452 + f + 990).\nAnswer: -43*f - 4386","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -311.6 - 2547.4. Let a = p + 2870.89. Let o = 1.41 + a. What is o rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 14. Let k be h - -2 - (-6)\/2. Which is smaller: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from ilrhuar?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 8) to base 12.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-3)\/3 + 5. Let t(c) = c**2 - 6*c + 6. What is the units digit of t(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18312064 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 + 171. Find the third derivative of -3*i**5 + i**5 + i**2 - 343*i - y*i**4 + 324*i - 4*i**5 wrt i.\nAnswer: -360*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9838 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -18, -23, -26, -27?\n\"Answer: s**2 - 10*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1*((-2 - -1) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-10))\/((-3)\/(-144)). Let a be 3\/7*(-798)\/i + -3. Is a equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*i - 23 + 3*i + 5*i wrt i?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t - 2014. Calculate z(99).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + 15\nAnswer: 13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**2 - 3*g - 3. Let r = -2909 + 2912. Let n(x) = 9*x**2 - 4*x - 4. Calculate r*n(o) - 4*l(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (-4)\/(-3) - 352\/(-24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2. Let t(v) = 11*v**2 + 3. Let z(u) = -12*u**2 - 2. Let d(n) = -3*t(n) - 4*z(n). Determine r(d(q)).\nAnswer: -225*q**4 + 30*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from jffjjjjjjfjj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 215, 321, 427, 533?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f + 207. What is x(-32)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1990 + -1989. Let y(f) = -9*f - 4. Determine y(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2724712661254 - -0.3\nAnswer: 2724712661254.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.07 - -2. Put x, 2, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3385232240?\nAnswer: 2, 5, 13, 31, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -188, -748, -1682, -2990, -4672, -6728, -9158?\n\"Answer: -187*q**2 + q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:29 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 - 223 + 29*t**2 + 10*t + 9*t**2 + 223.\nAnswer: 3*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007694419 to five decimal places.\nAnswer: 0.00769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*p - 5 = -171*p. Suppose -p*h + 6*h + 4*b - 102 = 0, -3*b - 6 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*d - 3*f - 10 + 4 + 1, 3*f - f = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 29908 + 11049 - 15445 = 0. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52538695*c**5 - 46513200*c?\nAnswer: 1050773900*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/10? (a) 0.08 (b) -6 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, 172 in increasing order.\nAnswer: -3, 21, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f - 2. Suppose -4*z + f*t - 8 = 0, 3*t - t = -4*z + 16. What are the prime factors of 7\/(z*1\/6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = w + 3*w. Suppose -2*s - w*l = -13 - 11, 12 = 3*l. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b**4 + 0*b**2 + 6*b**2 + 6*b**2 + 5*b**4 wrt b.\nAnswer: 312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2 (base 16) in base 15?\nAnswer: -ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-8)*(-3)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 3372, -5\/2, 9 in descending order.\nAnswer: 3372, 9, -5\/2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3 - 2. Suppose k*b = 3 + 2. Solve 2*g - 3*g - b = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a19 - -1?\nAnswer: 3a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 2. Let u(d) = -72*d**2 - 15*d - 34. Let s(a) = -4*l(a) - u(a). Is s(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62 and 139376.\nAnswer: 139376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5220524 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 82140 (base 15) to base 11\nAnswer: 261628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t + 63*t + 42*t + 37*t + 51*t - 17*t.\nAnswer: 138*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39056 or -39054?\nAnswer: -39054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.1, 17, -0.01 in decreasing order.\nAnswer: 17, 0.3, -0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 5, -9, -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2332221 (base 4) to base 6.\nAnswer: 132253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 11}. Give prob of picking 1 u and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881067549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from vdqqvqvsqgs.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2084 - -2088. What is the remainder when 362 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 + 2. Let v(g) = -3*g**3 - 9*g**2 + 4. Let x(l) = -9*m(l) + 4*v(l). Find the first derivative of x(b) wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -53, -31, 27, 133, 299, 537, 859?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a77 (base 12) in base 14?\nAnswer: -584b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2335 - -10179?\nAnswer: cd44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.02743+-0.3\nAnswer: -0.32743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 + 1 - 8*u + 11*u**2 - 31*u**2 - 6 + 13*u**2. Suppose -34 + 13 = 3*p. What is the smallest common multiple of y(p) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -5*q**3\/6 + q**2 - 3*q. Let g be x(1). Is 70*(2 + g\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3\/9 + 1252*c**2\/9 - 3296*c\/3 = 0.\nAnswer: 0, 8, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 16*l - 3. Let s be x(16). Let o = -4 - -11. Let y = o + s. Let f(i) = i**3 - 4*i**2 + 2*i - 5. Determine f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/9 + 64*y**2\/9 + 1786*y\/9 - 1960\/3 = 0 for y.\nAnswer: -20, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 703, 1074, 1471, 1906, 2391, 2938, 3559?\nAnswer: 4266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 - 26*i**2 + 21*i + 28. Let k be l(-14). What is the least common multiple of 3 and 3 + k\/34 + (-24)\/204?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exeoeooowyxmxo. What is prob of sequence owox?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10588, 21353, 32296, 43417?\nAnswer: 54716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -291, -435, -579?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(152)\/(sqrt(8) - (sqrt(96)*4)\/sqrt(12)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 40*q**3 - q**2 + 8*q + 17. List the prime factors of l(4).\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:22 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4\/4 - 5*k**3\/3 - 5*k**2\/2 - 2*k - 33. Let q be r(6). Solve h = q - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -251, -273, -295, -317, -339?\n\"Answer: -22*n - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4572912 (base 10) to base 16\nAnswer: -45c6f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 + 17 = 0. Let t be (-22)\/u - 3\/(-5). Solve -k - 4 = 2*x, k = -t*x + 2*k - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/3 + 64*q**3\/9 - 354*q**2 + 3672*q - 7980. Factor l(i).\nAnswer: 4*(i - 9)**2*(i + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 7\/((-1)\/2*1). Let v be (-1)\/(k\/(-25))*(2 - -37). Let c = v + 46. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1395*t - 6322 = 1486*t - 1499 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/6, -19\/5, 4\/3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 36*f**5\/7 + 157688*f**4\/7 - 18076704*f**3\/7 - 574976*f**2 = 0.\nAnswer: -4492, -2\/9, 0, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -4 (c) 10 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k. Let p(y) = 2*y - 1. Let n = -6 + 12. Suppose 13 = o - 5*o - a, -o - n = 3*a. Let j(w) = o*m(w) - 4*p(w). Give j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 424916 = -7675084. What is c rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 6 = -12*b. Solve -5*r - 2*p = 25, 0 = -b*r + r - 3*p - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 107, 119, 139, 167?\n\"Answer: 4*x**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7219, -7211, -7197, -7177, -7151, -7119, -7081?\n\"Answer: 3*y**2 - y - 7221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h + 4. Let l(b) = -10*b + 3. Calculate 3*i(m) - 4*l(m).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t*x**3 - 4*t*x**2 - 553*t - 16391*x**4 - 2*x**2 - 2*x wrt x.\nAnswer: -6*t - 393384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4022 = -y - 4*o, -7*o = 4*y - 10*o - 16202. Do y and 4047 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*r = 57*r + 2167 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -95*n + 320 + 562 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 59. Suppose -5*w = -m*w + 5. Let x(a) = -37 + 68 - 31 + w*a. Let o(c) = -c**2. Give o(x(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91221*i**3 - i**2 - 8*i + 20 wrt i.\nAnswer: 547326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3440548 and 7314.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 + -62?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 630087*h = -630083*h - 214, 0 = -30*f + 4*h - 374 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**3 - 18*n**3 + 0*n - 4 - n**2 + 2*n + 2 - 2*n**4 as t*n**2 + p + r*n + a*n**3 + c*n**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4) - (-108)\/8. Suppose -2*t + l = -5*t. Let v(b) = -b**2 - 2*b + 2. Determine v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19185.38 rounded to the nearest 100?\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.86 + 0.59. Let y = i + -0.13. Put y, -0.1, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-225))\/((-1227)\/(-11043))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2819*q**2 - 4356808 + 4356808.\nAnswer: 2819*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 659 in 1\/42, -3, -15, -0.2?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(720) + 2) + (5*(sqrt(720) + 2 + sqrt(720)))**2.\nAnswer: 2424*sqrt(5) + 72104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p - 14*p - p to r*p + f and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 403 + 521. Suppose -4*o - j = -90. Solve -4*r = 3*m - 3, o*m = r + m + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:40 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3723647, 7447298, 11170947, 14894594?\nAnswer: 18618239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f**2 + 2*f - 3. Let g(z) = -6*z**2 - z + 2. Give -5*g(t) - 3*x(t).\nAnswer: -3*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (9 - (-34 + 25))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23990, 23988, 23986, 23984?\n\"Answer: -2*c + 23992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 314931, 629755, 944547, 1259313, 1574059, 1888791, 2203515?\n\"Answer: c**3 - 22*c**2 + 314883*c + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 985768.8 months in years?\nAnswer: 82147.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-12) - 2\/(-3). Suppose -3*z = -d*h - 78, -4*h + z + 0*z = 82. Let a = h + 33. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-16)\/3)*94\/(-141)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 797928 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 739 divided by 3654\nAnswer: 739\/3654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 12115*t - 616460.\nAnswer: -5*(t - 2371)*(t - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 19) + (13 - 11 - -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-108)*-12*(-18)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 14*i**2 + 17*i - 46. Determine b(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*h - 96*h = 5*p - 12100, 18213 = 3*h - 3*p. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9442266?\nAnswer: 2, 3, 223, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5322279607 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {l: 1, q: 1, c: 1, y: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 46992?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/816)\/(6\/4))\/((-4)\/36).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -906, 2.6, 5, -16.\nAnswer: -906, -16, 2.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*s**3 + 20*g**2 + 2*g*s - 31*s**3 wrt s.\nAnswer: -12*g**2*s - 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 6*t - 4. Let o be i(7). Suppose u + 2 = 0, -o*u + 0*u + 4 = -2*x. Let k be (5 + -5)\/(-1*1). Put -4, k, x in decreasing order.\nAnswer: k, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 16) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2626 - -8a5?\nAnswer: 330b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -103497.04 * -0.1\nAnswer: 10349.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 7:42 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756114 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*v**4 - 246*v**3 - 1640*v**2 - v wrt v.\nAnswer: -144*v - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.1 + -28.1. Sort o, 1\/4, 0.3, -2\/9.\nAnswer: -2\/9, 1\/4, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:03 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -42. Which is the nearest to z? (a) -10 (b) 5\/6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -34, -61, -110, -187, -298?\n\"Answer: -u**3 - 2*u**2 + 2*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) + (-88)\/(-14). Let z(a) = a**3 - 8*a**2 + 7*a + 3. Suppose -4*x - 34 = -2*p, 0 = 4*x + 23 - 3. Let g be z(p). Solve f + 0 = -g*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.052 and -5379547.\nAnswer: -279736.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2295968 divided by 68?\nAnswer: -573992\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157024 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 - 3*u**3 + 3*u**3 + 3 + 8*u - 5*u**3 as l + a*u**3 + q*u + w*u**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33711653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3557?\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2. Let v(b) = 6*b**2 - 1. Let p(k) = -5*s(k) + 6*v(k). Let y be p(-13). Let l = y - 115. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 4*r + 2*r**3 - 2*r + 3*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 27*q**2 - 416*q - 8980. Calculate o(-31).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2 + 4 + -2). Suppose t - 38 - 370 = b. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-100*v - 99*v + 193*v)*(-5*v - 2*v - v) as s + z*v**2 + d*v and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -8, 1\/6, 0.39, 1\/10 in decreasing order.\nAnswer: 0.39, 1\/6, 1\/10, -4\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-2 - -2*1). Let g be 0\/(-1) - (-26 - x). Let l = g - 12. Calculate the remainder when 24 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 2*h. Suppose 0 = -4*w - w + 65. Suppose -z = -2*s - 2*s + 8, -w = -4*z + s. Suppose g + 2*j - 3 = 4, -3*g - z*j + 11 = 0. Calculate k(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*u - 20*u + 52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/8)\/((-295)\/6254) - (-36 + 47). Determine n so that k - 7\/2*n**2 + 5\/4*n**4 + 1\/2*n**3 - 3\/4*n + 1\/4*n**5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -668 - -666. Sort 3, f, 0, -1.\nAnswer: f, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-275))\/((-4)\/10). Let d = j - -1\/55. Factor 1\/5*x**5 - 2\/5*x**3 + 1\/5*x - 2\/5*x**2 + 1\/5*x**4 + d.\nAnswer: (x - 1)**2*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/4 - 225*m**2\/8 + 57*m - 1483. Factor w(n).\nAnswer: -3*(n - 1)*(n + 76)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - -50c811?\nAnswer: 50c82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12818 + 35633. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -297 - 1\/2*k**4 + 2\/3*k**3 - 1\/4*k**2 + 0*k. Factor d(p).\nAnswer: -p*(2*p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*b**3*l**3 + 7248997*b**3*l**2 - 2*b**2*l**3 - b**2*l**2 + 49*b**2 - b*l**2 - 331*l**3 + 283*l wrt b.\nAnswer: 84*l**3 + 43493982*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4814 (base 10) to base 11.\nAnswer: 3687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 648 and 16718508.\nAnswer: 100311048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5376, 11.\nAnswer: -5376, -7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199681 is divided by 238?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4 + -4 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1463\/5836 + -1\/1459. Which is the third biggest value? (a) 0.3 (b) m (c) -0.3 (d) 0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hff when three letters picked without replacement from {p: 1, f: 10, t: 3, h: 2}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 48813130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -5*k + 3*w, 3*k + k - 2*w - 164 = 0. Let h = -40 + k. Solve 5*q + 7 = f, -f - 5*q - 9 = -h*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76975483*y**5 + 25889*y**2 - 11*y + 4 wrt y?\nAnswer: 4618528980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(213 - 305).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133144423 (base 6) to base 14.\nAnswer: 4d8395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/((-6)\/(-126)). Factor 13*z - 58*z - 120*z**2 - 53*z**3 - d*z**3 - 13*z**3 - 5.\nAnswer: -5*(z + 1)*(4*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-50)*44\/(-528)*-195.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 44 = -8*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h + 5. Let i(d) = d - 1. Determine -3*i(w) - s(w).\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:45 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (10 - 8 - -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9*n + 1 - 3*n - 2)*(-127 - 1882 - 41)*(-3*n**2 + 4*n**2 - 2*n**2) as b*n**3 + r*n + l + h*n**2 and give b.\nAnswer: -24600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cabea (base 15) in base 3?\nAnswer: 2122021222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.555 to 1 decimal place.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 + 2*n**2 - 12*n**3 - 2*n**2 with respect to n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:04 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33473)\/(-102) - (-3 + 38\/12). Calculate the greatest common divisor of 41 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60b9 (base 12) to base 10.\nAnswer: -10509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 32*r. Let n be z(-32). Let y = -2 + n. Does 19 divide (-6)\/(-8) - (y - (-234)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 6*t + 4. Let g be k(-2). Solve d = 4*n + 4, -5*n - 18 = g*d - 4*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o + 4. Suppose 0 = p - 16 - 14. Suppose -o*d - d = -p. What is the least common multiple of 2 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.191467 months to millennia.\nAnswer: 0.00118262225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 4*k**2 - 8*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 60*f**2 + 19173*f + 19110.\nAnswer: -3*(f - 91)*(f + 1)*(f + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -770 + 1286. Let y(o) = o**3 - 14*o**2 - 914*o + 88. Let m be y(38). Calculate the greatest common divisor of m and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0 (b) 3 (c) -1\/11 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + q + 6. Let r(u) = -3*u**2 + 2*u + 13. Let h(k) = 13*l(k) - 6*r(k). Let n(y) = 8*y. What is the least common multiple of h(-2) and n(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110001101111100 + -101?\nAnswer: 10000110001101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/(-96)*(-1218)\/49?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1665, 2\/21, 0.6, 4, -4\/7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 524, 521, 516, 509?\n\"Answer: -t**2 + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2047 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6066 + -6053. What is the remainder when 636 + -1 + -3 + 4 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/7 - 2860544*k\/7 + 77233230\/7 = 0. What is k?\nAnswer: 27, 1430245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 27*l = 22*l + 2, -l + 68 = 5*d. Let j(x) = 21*x + 79. List the prime factors of j(d).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + 0) - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429260 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57027, -114052, -171077, -228102, -285127?\n\"Answer: -57025*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65777.58221 less than 3784.1?\nAnswer: -61993.48221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -9\/13, 26, -284, -1\/3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3825 - 7649\/2. Let b(j) be the second derivative of 3*j + 1\/8*j**4 - k*j**3 - 1\/80*j**5 + j**2 + 0. Factor b(m).\nAnswer: -(m - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/75*3*(-257 - 3). Suppose -35*m = -31*m - s. What is the highest common divisor of 468 and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23745\/6*-844 - 0. Let n = i + 1730130. What is n rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 233, 1 in decreasing order.\nAnswer: 233, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-46)\/(u**(-1\/4)\/u**(1\/3))*((u\/(u\/u**(-1\/3)))**(2\/29))**17 assuming u is positive.\nAnswer: u**(16075\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211 - 75 - 79)*(-8 - 5*b + 8).\nAnswer: -285*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - b + 3 + 0*b)*(4 - 1 - 1)*(-4*b + 2 - 2).\nAnswer: 8*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3354*j - 3407*j + 16218 = 0. Calculate the greatest common factor of 8313 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4634 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f - 4*q + 1 = 0, q + 1 = 0. Let v be ((-3)\/f - 0) + -3. Solve -4*w + 4 + 4 = 2*s, v = 3*s + 2*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*s - s - h, -14 = -4*s - 2*h. Let p = -178 + 183. Solve 5*r - s*f = 3*r - 2, 11 = -3*r - p*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, -16, -49, -82, -115?\n\"Answer: -33*y + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250052 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 7}. What is prob of picking 1 s and 1 q?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 115*n + 55*n = -2758279. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-40)*4 - (-77)\/5. Let a(i) = -5*i + 79. Let z be a(u). Solve 11*g - z = 15*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = -2*w - 2, -w + 13 = -3*y. Let o be (-2)\/(-14) + 56\/(-49). Which is the closest to o? (a) -1 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-348)\/176 + (-3 - -2) + 3. Let h = k + -93\/220. Let i = -260 - -260.1. Which is the nearest to h? (a) i (b) -3 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -0*b - 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/120 - n**4\/24 + 35*n**3\/6 - 2*n**2 - 5. Let m(o) be the first derivative of c(o). Determine m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(1 + (sqrt(2736) + (-4*sqrt(2736) + sqrt(2736))**2)*-1) + 2).\nAnswer: 300*sqrt(19) + 615565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-33696)\/(-1092))\/(3\/4060).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppep when four letters picked without replacement from ppeppepepppepppppep?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9, 0.92012, 5?\nAnswer: 0.92012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s - 225. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -117, -120, -123?\n\"Answer: -3*y - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 1, r: 2, j: 9}. Give prob of picking 1 k, 2 j, and 1 r.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 148\/3. Let u = -7.7 - -8. Let d be (6\/8)\/(63\/(-14)). Which is the biggest value? (a) d (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1277*x = -28598 - 5753 - 1405 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 17, m: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204 - -48.81.\nAnswer: -155.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 26*c - 3. Let u(x) = -207*x + 23. Let f(s) = -23*g(s) - 3*u(s). Let k(l) = -l**2 - 15*l - 6. What is the remainder when f(1) is divided by k(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3159 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87276.2kg to milligrams.\nAnswer: 87276200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 23*i**3 - 5*i - 4. Let l be f(-1). Let u(r) = 15*r + 1. Calculate the remainder when (-143)\/(-5) - l\/55 is divided by u(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 6:08 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47661574.\nAnswer: 2, 17, 1401811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 8. What are the prime factors of u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnnhnhwnhnh. What is prob of picking 1 n, 1 h, and 1 w?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-19 + 21 + -16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. What is b(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 2*z - 11. Let c be d(-5). Suppose 8*s = 4*s + c. Solve 2*v - s*p + p = 3, 5*p = -5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26584 + -26544. Calculate the least common multiple of 305 and z.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3753*u - 7231*u - 12110*u - 4606*u to b*u + m and give b.\nAnswer: -20194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(9\/2)\/(l*l\/(l\/l**(-2\/5)))*(l*l*l\/(l*l\/(l*l**(-2\/11)))*l)\/l**(-3) assuming l is positive.\nAnswer: l**(1069\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 29179.591 days?\nAnswer: 4168.513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 82*c + 82*c. Let i(x) = -7*x**2 - 3*x**2 + 2*x**2. Calculate l(i(d)).\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.308 litres in millilitres?\nAnswer: 53308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*v - 36 = -164*v. Suppose 3*m - 14 = -4*u, u - 5 - 21 = -v*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199645218 * -4\nAnswer: 798580872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 - (-54)\/(-10). Let p(r) = -2*r. Let a be p(l). Solve n - 1 = -4*j - 2*n, a = -2*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:32 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/751686 and 55\/174?\nAnswer: 21798894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 122, 5, -4, 327 in decreasing order.\nAnswer: 327, 122, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17939852 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: Let x(r) = -2*r + 6. Let z(g) = -1. Let p(f) = -x(f) - 6*z(f). Let i(k) = 25*k. Give p(i(o)).\nAnswer: 50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 7. Suppose -c*x + 20 = 3*x. Suppose x*t - i = 1173, 4*t + 3*i = -t + 1462. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from uluesuesqeu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75600 = 133*n + 205*n + 607*n for n.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -57. Suppose -3*u + o = 5*t, -u - 2*t = -t - 22. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o - 3*z = 21*o - 109, 3*o - 4*z = -157 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.957 + 0.043. Let f = g + -40. What is the third biggest value in f, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 84672.2 micrograms?\nAnswer: 84672200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -3. What is the highest common factor of 81 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6715082 times 8\nAnswer: -53720656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let v(x) = x**2 - 5*x + 1. Let c be v(y). Let u(m) = -4*m - 1. Give u(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-574652)\/6)\/(-2) + (-60)\/90 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, g: 6}. Give prob of picking 3 g.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 2*g**2 - 2*g + 1. Let n be o(1). Suppose -n*r + r + 22 = 0. Calculate the greatest common factor of 66 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/(-2)*32\/(-20). Let t be 1*w*10\/(-15). Calculate the common denominator of (2\/t)\/(3\/(-4)) and 97\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -391.363 * -4\nAnswer: 1565.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 858 = 7*r + 15*r. Is 8\/52 + 0 - (-42153)\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/2 - 1042491*m\/2 + 2606215 = 0.\nAnswer: 5, 1042486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3473563 to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 23 - 231. Let g be (40\/15 + -3)*w*-3. List the prime factors of -132*(g\/(-12) + 3\/2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/43129 <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-486 + 98*b + 486)*((-2 + 1 - 1)*(0*b - 3*b + b) + 0*b + 2*b + 0*b + 114*b - 42*b - 40*b).\nAnswer: 3724*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372468 is divided by 93107?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1317712*w**2 + 19078*w + 6.\nAnswer: -2635424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 - 6*c**2 + 4*c - 8. Let z(n) = 9*n**3 + 13*n**2 - 8*n + 17. Let b(w) = 13*v(w) + 6*z(w). Does 14 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*641677.\nAnswer: -3850062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -32, -68, -138, -254, -428, -672?\n\"Answer: -2*u**3 + u**2 - 3*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -9, 0, 299 in decreasing order.\nAnswer: 299, 2, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3288)\/(-7672)*((-411)\/(-18) + -3)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -33*p + 4*p - 13*p - 2*p - 3*p + 6*p + (-4 + 4 + 2)*(0*p + 0*p + p) + p - 2*p + 0*p + 0*p + 0*p + p + 1 + p - 3*p + 4*p.\nAnswer: -37*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Which is the biggest value? (a) -2 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7615400.683 rounded to the nearest 10000?\nAnswer: 7620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let d = p + 12. What is the greatest common factor of d and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914274?\nAnswer: 2, 3, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 10063881.\nAnswer: 1\/3354627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320463 and 24882.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(432)*-1 + 4 - sqrt(432))**2).\nAnswer: -6992 + 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 24. Solve g + 2*g + d = t, 2*g + 21 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191845690 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42\/5 + -131\/15. Let r be ((-2)\/39)\/((-4)\/(-38)). Let b = -2\/13 - r. Sort 3\/7, b, a in descending order.\nAnswer: 3\/7, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/76 + 14\/(-133). Let h(a) = a**3 - 7*a**2 - 2*a + 8. Let u be h(7). Let j = u + 7. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 8*r**2 - 3*r + 5. Let n be f(7). Suppose 5*y - n = -8. Suppose -5*c = 5, y*c + 2 = h + 2*h. Put h, 0, 3 in decreasing order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28 - 12) + 28 - (1 + 0)) + -43\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/7, -43\/8 in ascending order.\nAnswer: -43\/8, -0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*b + 2, -5*o + 6*o - b + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50250, 50249, 50248?\n\"Answer: -o + 50251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 114\/16 - (-6)\/(-48). Solve 0 = 2*q + 1 - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 11) to base 2.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16)*o**(-8\/11)\/o)\/(o*o*o\/o**(-7\/2))**40 assuming o is positive.\nAnswer: o**(-3055\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -3*(1 + sqrt(19))**2)*2 + ((sqrt(95)*-2 - sqrt(95) - sqrt(95))*-4)\/((sqrt(50)*-2)\/sqrt(10)).\nAnswer: -224 - 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3237 = -7*d + 3251. Let m(i) be the second derivative of -1\/4*i**3 + 18*i + 3\/2*i**d - 1\/8*i**4 + 0. Find l such that m(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + s. Let y(l) = -53*l**4 + l**3 - 733*l**2 - 2*l. Let t(d) = -3*g(d) - y(d). What is the third derivative of t(h) wrt h?\nAnswer: 1272*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/7 + 36*k**4\/7 - 50*k**3\/7 - 1800*k**2\/7 + 1000*k = 0.\nAnswer: -7, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*l + 103*l + 124*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/7 + 20184356*p\/7 + 2883480.\nAnswer: -4*(p - 5046090)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780754172?\nAnswer: 2, 3, 148396181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = 2. Suppose 4*m = 3*m + x. Let l be (-6)\/(-8)*(-2)\/m. Which is the closest to l? (a) 4 (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37433334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(4\/(-4)) - -2. Suppose 11*i = w*i + 44. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:24 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -28. What is the greatest common divisor of 22 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 30*i**2 + 26*i - 26. Give w(-11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*q + 2*t + 1, 5*q - 5*t + 10 = 0. Let b(o) = o**3 + 7*o**2 - 2*o - 7. What is the tens digit of b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107 by -14192.\nAnswer: 107\/14192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.0396586?\nAnswer: 0.0198293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2. Let p(d) = -829*d - 1. Give p(s(i)).\nAnswer: 4145*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 49. Let r be w(15). Is ((-671)\/r)\/(1\/(-7)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 2. Let a(r) = 8*r**3 + r**2 - 2*r. Let k be (-3)\/(9\/3) - (-4 - -2). Let x be a(k). Give j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*x - 60 = 59*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8956 (base 11) to base 16.\nAnswer: -2e16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 166, 118, 68, 16, -38, -94?\n\"Answer: -u**2 - 45*u + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2 and -34\/36877.\nAnswer: 73754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(2\/72 - (-11)\/(-44)). Suppose 6 = -6*f + t*f. Solve 0 = 2*y - 3*r - 2, -3*y - f*r = -y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -6. Let y = s - 0. Let r = -47 - -50. Which is the closest to 0? (a) r (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**4\/5 + 2511*g**3\/5 - 3152*g**2\/5 - 4401*g\/5 + 1258\/5 = 0.\nAnswer: -629, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/6185 - 24722\/55665. Which is the third biggest value? (a) -2\/3 (b) 3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 10) to base 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(3\/(-3) + 3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -15) + 8 - 19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11671*c**3 - 8*c**2 + 53*c - 3 wrt c.\nAnswer: -70026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = 0, -3*o - 630 = -4*k - 5*o. Factor 14*n - k*n**2 + 167*n**2 - 4 - 2.\nAnswer: 2*(2*n + 3)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1236 and -83.\nAnswer: 10.2588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/15)\/(84\/(-560)*76)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2*69\/(-30) + 2\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 0 (c) -1\/3 (d) -19889\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4786938 * 5\nAnswer: 23934690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*197481.8.\nAnswer: 2567263.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 41100000 to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/237, 4, -5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 2*g - 4*g + 1. Let m be d(1). Let l(w) = -1. Let v(x) = -x + 2. Let q(p) = 4*l(p) + v(p). Let s(a) = -3*a - 4. Give m*s(c) + 5*q(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:38 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, s: 5}. What is prob of sequence ee?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30927.71615 - 6.58385. Round b to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/14*(-15)\/32. Let x = o - -1\/56. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3770*o**2 - 261*o - 261. Let x(v) = 29*v**2 - 2*v - 2. Calculate 2*f(i) - 261*x(i).\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094139 a multiple of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(6*sqrt(114)*1 - sqrt(114)))\/((6*sqrt(384))\/(sqrt(324)*-2 - sqrt(324))).\nAnswer: -45*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 4*y + 3, 0 = -2*y - 2*u + 14. Suppose 4*z = -y*i - 3*i - 8, 17 = -z - 5*i. Let x = -5 + 7. What is the lowest common multiple of x and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 612223 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/8)\/(18\/(-48)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 - -167. Solve 2*u + 1 = -f, -f - 13 = -7*u + t*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**7\/21 + 81*q**5\/20 - 19*q**3\/2 - 2*q + 4. Find the second derivative of w(d) wrt d.\nAnswer: 40*d**3 + 486*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y + 1. Let m be t(-2). Suppose p - 4 - m = 4*q, -2*p + 22 = -4*q. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b + 19. Suppose -144 = 3*a - 15. Let x = a + 40. Let n be d(x). Is n at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 10*v - 7. Give x(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b - 128 - 87 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let l be -46 - (n\/1 - 1). Let p be 1\/(-1 - 48\/l). Calculate the greatest common factor of 150 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 24. Let h = r - -11. Calculate the remainder when 8 is divided by (-1)\/(-3 + (-16)\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 + -75. Let p = g + -77. Put p, 3\/5, 0.5 in descending order.\nAnswer: p, 3\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 3571256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 4. Suppose 3*o - 2*o = -2. Let k be n(o). Is 33\/(-12)*k*6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005199029589 rounded to 6 dps?\nAnswer: -0.005199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**6\/40 - 11*u**5\/60 - u**4\/24 + 4*u**3\/3 - 12*u**2. Let j(n) = 2*n**3 + 7*n**2 + n - 5. What is 8*j(c) + 5*k(c)?\nAnswer: c**3 + c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*p**3 + 3*f*p*x + 1181081*f*p - 973*f + 495*x wrt p?\nAnswer: 3*f*p**2 + 3*f*x + 1181081*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 55*f + 17451 = 35*f. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5960 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5926 > -5926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3 + 6*z**2 + 7*z**2 - 1093*z + 3*z**2 - 4*z**3 + 1223*z = 0.\nAnswer: -5, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 223120301323?\nAnswer: 223120301330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3) + 0 + 4 + -1 - -5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.15 - 28. Let q = t - -0.15. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 482 (b) -2.4 (c) 2\/303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (896\/(-2924))\/(-1) - 108\/6966*-3.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 81*i - 129. Calculate l(40).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times 657.03?\nAnswer: -19710.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1581263*q**2 + 789963*q**2 + 791303*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1316800*a**3*b*o**3 - 2*a**3*o**3 - 2516*a*o**3 - 4*o**3 - 2 wrt b?\nAnswer: -1316800*a**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*p - 1521, -3*a - 974 + 2114 = 3*p. Calculate the remainder when a is divided by 201.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204987701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -14457, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-20)\/15. What is the units digit of j\/((-6)\/165) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -4. Let n = 1.9 + 2.1. Let j = n - 1. Which is the biggest value? (a) q (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*(-1)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3943869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 4*h - 1. Let r(o) = o. Give c(q) - 6*r(q).\nAnswer: -q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17 + 5*k - 6*k**3 + 4*k - 6*k**2 + 7*k**3 - 3*k. What is the units digit of n(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 88*f - 35. Let b(i) = -8*i + 3. Calculate 23*b(d) + 2*l(d).\nAnswer: -8*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4969750412 to the nearest integer?\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -45*j + 636. What is z(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -6. Suppose r*d = 11*d + 30. What is the second biggest value in -0.6, -0.4, d, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 2*a - 90 + 85, 15 = 3*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*m**2 + 142*m**2 + 114*m**2.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 103*k**2 + 59*k - 242. What is the units digit of b(51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292\/(-10)*(-55)\/(-88) + (-5)\/(-20)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -6)*(-1)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002828124546 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - 14\/4. Let w(l) = -29*l - 2 - 3*l**3 - l**2 + 9*l + 7*l + 9*l. Let x(c) = 3*c**2 + c + 12*c**3 - 11*c**3 - 3*c**2. What is p*x(o) - w(o)?\nAnswer: -o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(147)*1 + sqrt(147) + -5)**2 + 5.\nAnswer: 140*sqrt(3) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, -0.4, 0.1.\nAnswer: -149, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73848 and 5115?\nAnswer: 125910840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4012 - -4063. Solve 11*y + 29 = o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 116504610, 233009224, 349513844, 466018470, 582523102, 699027740, 815532384?\n\"Answer: 3*a**2 + 116504605*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 2*v**2 - 2*v + 1. Let x be g(1). Let r(d) = 4*d + 3. Let n(h) = 7*h + 5. Let t(i) = x*n(i) - 5*r(i). Let k(b) = -2*b**2. Give t(k(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 51*y**2 + 308*y - 2484. Let h be o(8). Is h equal to 3244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -5 (b) -2\/5 (c) -1\/6 (d) -18\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -57, -56, -55, -54?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 z when four letters picked without replacement from {t: 2, z: 10}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 = -35. Let q be s\/(-35) + (-57)\/(-15). Solve -y = q*y + 4*i + 10, y + 2 = -i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(((n\/(n*n**(-21)))\/n)\/n)*n\/(((n*n*n*n**24\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -43.2. Which is the nearest to -2\/3? (a) -1 (b) 1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (1 - 1))\/(3\/2). Let w be t + 5 - 23\/7. What is the nearest to w in 6, 1\/8, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/43 + 1662\/301. Suppose -4*z + 9856 = -6144. Let y = 39943\/10 - z. Calculate the common denominator of y and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**5\/20 + 17*f**4\/12 + f**2 + 2*f - 2. Let m be y(-17). Solve -m = 3*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 4. Let w be t(2). Suppose w*s - 69 + 27 = 0. Let k = -453 + 460. Calculate the greatest common factor of s and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-157079165.\nAnswer: 31415833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 + 50. Let x = -52.000105 - t. Round x to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j**2 + 4*j - 5. Let c be 1*8 - (-1 + 0). Suppose -2*r + 5*d + c = 0, 3*d = 3*r - 2*d - 11. List the prime factors of n(r).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3066*r**4 + 7*r**2 + 141718 wrt r?\nAnswer: 12264*r**3 + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -35\/48, -24, 2\/11, 2 in ascending order.\nAnswer: -24, -35\/48, -1\/8, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -281814 rounded to the nearest 100?\nAnswer: -281800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**3 - 11*f**2 - 5. Let u(o) = 2*o**2 + 2 + 4*o**2 - 7475*o**3 + 7470*o**3 + 1. Determine -3*g(l) - 5*u(l).\nAnswer: -2*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 52. Let w(c) = 2*c**3 - 3*c**2 - c + 5. Let k be w(3). Let a = k + u. Solve 0 = a*n + 2*q + 1 + 4, 2*q - 5 = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p*p**(-8)))\/p)\/(p\/((p**(-2\/7)\/p)\/p*p)))\/((p*p\/(p**4*p))\/p*p)**(-2\/43) assuming p is positive.\nAnswer: p**(1678\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 1, r: 1, e: 1, b: 1}. Give prob of sequence bm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/161644, -2\/9, -1?\nAnswer: -1\/161644","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -5, 1058, -201, 5.\nAnswer: -201, -5, 5, 35, 1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3 - (5 - 7 - -14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**3 - 2*a - 1. Let x(z) = -z - 1. What is -f(g) + x(g)?\nAnswer: -5*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -112*c - 31. What is the tens digit of o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 56. Calculate the remainder when 122 is divided by v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.2 + 46.1. Let f = -18 + a. What is f rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**2 - 2 - 6*m**2 - 3*m - 3*m**2 to i*m + x*m**2 + y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/14 - (-25 + 1155\/(-147) - -33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 5:20 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 178*l + 2 + 28*l**3 - 178*l as r + y*l**2 + j*l**3 + c*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44432897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2813 is divided by 354?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 8, 10, 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 143*f**3 + 2.\nAnswer: -143*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tktq when four letters picked without replacement from piktwktiqqiq.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 602?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.89701 centuries?\nAnswer: 89.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 2)*(4 + 2). Let h(v) = -2*v - 6. Let t be h(-6). Solve 4*f - f + d = 2*l, 2*l - t = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 0. Let t(b) = -b - 3. What is t(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -602 in -2\/5, 47\/18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 - 1587*m**3 - 4800*m**2 + 6384*m = 0. What is m?\nAnswer: -4, 0, 1, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -0.1887.\nAnswer: -0.0887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 13*t - 9*t, -3*t + 4 = p. Which is bigger: 6\/29 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 138389.13 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:31 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*m**6 + 9*m**2 wrt m.\nAnswer: 4800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n - 1. Let o(s) = -14*s**2 - 7*s - 7. Suppose 56*j + 38991 - 3823 = 0. Let k = j + 635. Calculate k*d(v) - o(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 127*r + 2669. Let h be x(-19). Calculate the greatest common factor of 392 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -12.99962. Round r to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 5*c + 4. Let k be n(4). Suppose k = 8*z - 3*z - 80. What is the least common multiple of z and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13633.82114 and -1.\nAnswer: -13634.82114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 6:12 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -556, -517, -458, -373, -256, -101, 98?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49, 48, 47?\n\"Answer: -k + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 5*u**2 + 5*u + 9. Let p be o(-16). Suppose -s - p = -5*g + 115, 5*s = -25. Is g + -3 + (3 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1660*t + 1660*t - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t. Suppose t = 15*y - 18*y + 18. Is (-3)\/y*-8 + 107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4288)\/(-52528))\/((-8)\/(-14))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-12))\/(8\/3). What is the smallest value in 162, p, -1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2222012201 (base 3) to base 7\nAnswer: -332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2302\/(-13812))\/((-2)\/780).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-38 - -26) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)*(-3 + (-140)\/(-45)). Sort -2\/11, v, 2\/13 in ascending order.\nAnswer: -2\/11, v, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 4*i - 8. Give x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 2 + 1 - t**2 - t. Let l(o) = -9*o**2 + 5*o - 6. Let j = -1234 + 1240. Determine j*c(b) - l(b).\nAnswer: 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208 - 167. What is the greatest common factor of i and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577177710?\nAnswer: 2, 3, 5, 17, 1131721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 19. Let p = -2455 + 2452. Let k = 2 - 2.2. Which is the nearest to y? (a) -0.5 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*n + 29*n + 105. Suppose 0 = 5*w - 5*q + 155, 2*w + 75 - 15 = 4*q. Let v = n - w. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -880*m. Let x(p) = -4*p**2 + 11. What is x(o(r))?\nAnswer: -3097600*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 2*x - x**4 + 41*x**2 - 16*x**2 - 24*x**2 to i*x**2 + w*x**3 + k*x**4 + u*x + j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77881 + -148752. Let t = 226613.0078 + j. Let r = 20 + t. What is r rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7696 and 1602544.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 499376*d**3 + 429760*d wrt d.\nAnswer: 2996256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 201 = 2613. What are the prime factors of v?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-10)*(-16 - 909\/(-54)). Which is the nearest to 0? (a) -14 (b) -3 (c) 9 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 4:27 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/4 (c) -4 (d) -174\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -768, -1510, -2220, -2892, -3520, -4098, -4620, -5080?\n\"Answer: v**3 + 10*v**2 - 779*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - l = -p + 11, 0 = -5*l - 5. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p. Let l(y) = -16*y. Suppose 5*s - 6 = 3*s. Suppose s*v = 5*d + 23, 0 = 3*v - 5*v + 5*d + 12. Determine v*f(u) + 2*l(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -707721*x**6 + 111*x**2 - 4*x - 231 wrt x?\nAnswer: -84926520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*h + 3*y, 2*h + 4*y - 5*y = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 2922374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3753 + 8616.14\nAnswer: 4863.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4147, 16839, 38077, 67861, 106191, 153067?\n\"Answer: 4273*t**2 - 127*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) -3\/88 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/198*-4*(-3)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -62, 21239 in decreasing order.\nAnswer: 21239, -3\/2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3811.\nAnswer: 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1018 + 1018.0417. Let f = m + -0.0317. What is f rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/3 - 2236*d**2 + 20117*d\/3 - 4470 = 0.\nAnswer: 1, 2, 6705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -20, 2*m + 2*c + 6 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -809, -807, -805?\n\"Answer: 2*z - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.8 and -5?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(300) + -4*sqrt(300)*-3 + sqrt(300) + sqrt(300) - ((-1*sqrt(300))**2 + -5)).\nAnswer: -297 + 150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14\/15 + 4\/3. Let c = 185\/4 + -3893\/84. Is m equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 5 - 23 + 28*c**2 wrt c.\nAnswer: 56*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 - -194. Let k be j\/(49\/(-42)) - -1. Sort -1, -3, k in descending order.\nAnswer: -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7346819.51 rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -429 (b) -5\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - -0.04. Let x = r + 0.02. Suppose 10*v = 7*v. What is the closest to v in 4, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -24*u**5 + 80024*u**4\/5 + 10746*u**3\/5 - 9872*u**2 + 1326*u\/5 + 5336\/5 = 0.\nAnswer: -4\/5, -1\/3, 1\/2, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13*z*z**(-3\/2)*(z**(2\/17)*z*z)\/(z\/z**(-4\/9)))**7 assuming z is positive.\nAnswer: z**(28217\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 202, 303, 404?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4736 + -42583\/9. Calculate the common denominator of n and -4*(427\/(-224))\/((-27)\/(-4)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 307710860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6902 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 3310288*o - 684875415184.\nAnswer: -4*(o - 413786)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23738800009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 3*a + (-34 - 3 - 7)*(-4*a + a + a) in the form c + n*a and give n.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -39. Suppose v*u = 7*u - 10. Suppose 0 = r + u*r - 36. Solve 2*g - 12 = -2*g + 4*j, -2*j - r = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 494994 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5016 = 52*f + 12*f + 2*f for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {n: 2, e: 1, x: 2, y: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*x - 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438538305 to the power of 1\/2, to the nearest integer?\nAnswer: 49382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Let w = 4.6 - o. Which is the second biggest value? (a) w (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 68 + 38 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*1\/3*-1. Let y = 6 - s. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**5\/10 + 193*w**4\/4 - 2*w**3\/3 + 11*w**2 + 291*w. Find the second derivative of s(z) wrt z.\nAnswer: 12*z + 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*(-1)\/(-7))\/((-203)\/406). Let z = -597 + 597.4. Which is the fourth biggest value? (a) -12 (b) z (c) m (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -646.8 - -647. Let q be (1\/3)\/(15\/(-9)). Which is the closest to -3\/2? (a) q (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.95 - 2.75. Let j = -36 - b. Let z = -0.2999974 - j. What is z rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -716*k**6\/15 - 37*k**4\/12 + 25*k**3\/3 + 206*k. What is the third derivative of v(d) wrt d?\nAnswer: -34368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 190. Suppose -117 = -c - 4*h, h + u = 5*c - 312. Let q = c + -23. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 27*u. Calculate f(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556050, -556085, -556140, -556215, -556310, -556425, -556560?\nAnswer: -556715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.357 - -4.857. Which is the biggest value? (a) q (b) 3 (c) -3\/5 (d) 29.44 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 12 = 5*s. Solve m = 3*m + s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/4 + -7. Suppose -275*h + 274*h + 4 = 0. Put z, -5, h in decreasing order.\nAnswer: h, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(4\/7)*u)\/u**24)\/(u**(1\/35)\/u*u\/(u\/u**21)))**(8\/13) assuming u is positive.\nAnswer: u**(-11888\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from undaaequnddd. What is prob of sequence qqdq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g + 49*g + 2*g + 2*g**2 - 41*g - 8 + 23*g.\nAnswer: 2*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3*q - 11898*p**2*q**2 - p*q + 58*q**2 + 3*q + 12 wrt p.\nAnswer: 6*p**2*q - 23796*p*q**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**3 - d**2 + 2*d - 4. Determine t(3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 30 + 0 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53536, -53546, -53558, -53572, -53588, -53606?\nAnswer: -53626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51305033 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*k**3 - 66*k + 5*k**2 - 45*k + 177*k**3 to the form a + u*k**3 + s*k + f*k**2 and give s.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.823*-0.984\nAnswer: -0.809832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {f: 1, q: 1, k: 1, d: 2, l: 1, w: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3110501 (base 6) to base 5.\nAnswer: -14233341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Suppose -5*y + 63 = p*t - t, 4*y = 4*t - 52. Suppose 3*j - 5 = t. Solve 0 = -2*k - 2, -2*c - j = -3*c + 2*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 53, -7 in increasing order.\nAnswer: -13, -7, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n = -38*n - 2. Let q(g) = -12*g**2. Let r(u) = -u**2. Calculate n*q(b) + 9*r(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -94 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(3\/54*1)*(-4874)\/19496?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97\/132 + 3\/44. Let z = -144 + 142.62. Let a = z + 1.08. What is the closest to 0 in x, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 - 4*s + 4*s - s - s + 1. What is j(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-75)*-15 + -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 6*c**2 + 5*c + 5. Let w be t(5). What is the third derivative of -w*r**5 + 3*r**2 - 2*r**2 + 3*r**2 wrt r?\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let q(v) = -51 + 51 - 10*v. What is x(q(i))?\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(-3*sqrt(12)) + sqrt(304)*-2)**2.\nAnswer: 11875\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4574 + 4574. Solve 21*h + 31 + 32 = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234779652?\nAnswer: 2, 3, 37, 176261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254435 (base 14) to base 2.\nAnswer: 100111000011000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.21839019?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -536, -535, -534, -533, -532?\n\"Answer: l - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3153 = 4*v, q + 1 = -4. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 13. Suppose -60 = -4*p + o, -2*p + l*p - o = 76. Suppose -q + 2*f = 3, 2*f - p - 2 = -2*q. Solve -5*u - 5 - q = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:29 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*w + 403*w - 69030 = 102*w - 777*w for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 - 2.21. Which is the nearest to -1? (a) -3\/4 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65636464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 14 + 4. Suppose x*g + 185 = 11*g. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3 + 4)*(-4*l + 5 - 3*l + 6*l).\nAnswer: -12*l + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1225.6821 months?\nAnswer: 10.2140175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 1 + 2 + 18*j**3 in the form i*j + o + p*j**3 + s*j**2 and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {m: 2, e: 1, r: 2, t: 1, p: 1, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:00 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22374 and 232?\nAnswer: 2595384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/(((-30)\/(-90))\/((-1)\/(-12))). Find j such that 0*j**2 - w*j**3 + 0*j + 3\/8*j**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 79 = -3*g - t, -4*g = 2*t + 198. Let b = g - -156. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let a be (-3)\/(-3)*(0 + -2)*-1. Let n(v) = v. Let m(b) = 5*b. Let t(x) = a*m(x) - 11*n(x). Calculate u(t(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 + 4. Let n be (-2 - -4) + 99 - 2. Let l be n\/(-21) - 6\/21. Give k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -247\/162411480 and 145\/2604.\nAnswer: 162411480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/4 (c) -80.49 (d) 688\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-96))\/((-2)\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26084 to the nearest one hundred.\nAnswer: -26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + -889.\nAnswer: -888.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146624, 407, -0.3 in increasing order.\nAnswer: -146624, -0.3, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5122984.\nAnswer: 2, 17, 139, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*y + 550 - 35 + 225 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 18718256*l\/5 - 43796638460192\/5.\nAnswer: -2*(l - 4679564)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23311310123 + 21013?\nAnswer: -23311223110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1188))\/(sqrt(11) + (-1*sqrt(132))\/sqrt(12) + sqrt(11)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -70*g**2. Let h(r) be the third derivative of 3*r**5\/20 + 107*r**2. Give h(z(n)).\nAnswer: 44100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -34*b**2 + 14*b - 505. Let d be f(13). Let u = -3\/744572 + 67714356013\/11168580. Let h = d + u. What is the common denominator of h and -41\/33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (0 - -3))*-1. Suppose -v - 2 = -u. What are the prime factors of (3 + -4)*8\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofgfffovffgffgmmmvm. Give prob of picking 2 v and 1 f.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 0, -1 in descending order.\nAnswer: 6, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/8 - (-2363)\/278. Find f, given that -1\/2 + 12*f**l + 6*f - 35\/2*f**2 = 0.\nAnswer: 1\/8, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.6 and -16027096572.\nAnswer: -16027096558.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -31, 2, 71, 188?\n\"Answer: 2*l**3 - 5*l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3364*j**2 - 125*j - 251. Does 13 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 41*p**3 + 1560*p**2 + 0 + 839*p**2 + 847*p**2 - 3248*p**2.\nAnswer: 41*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r - 138. What is the remainder when o(20) is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*o**3 - 211*o**2 wrt o.\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 - 1 = 0, 4*l = 2*r + 2. Put -12, 2, r in decreasing order.\nAnswer: r, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y + 1. Let l(q) = -q**2 - 6*q - 1. Let m be l(-5). Let s(f) = -m*f + 2*f + f - 12. What is 22*b(r) - 2*s(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8875561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*v**3 - 906*v**3 - 246*v**3.\nAnswer: -510*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j. What is c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 + 4*z - 1. Let k be y(5). Let c = k + 111. Suppose -4*x + 3*x = o - 10, 5*o - x = c. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 31*u + 16. Suppose 5*m - 2*y = 4, -5*m + y + 0 = -2. Suppose 4*d + m = -56. What is the units digit of o(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26068321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*t + 3, -o - 3*t + t = -3. Factor 4*q - o - 3*q + 1 + 5*q**2 - 4*q**2.\nAnswer: (q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5511 + 5504 - (2 + (-9 - (-1 + 2))) - 36\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 272*t**3 + 15*t - 9*t**2 - 10 - t - 271*t**3 - 2*t. Determine u(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from mmmmmxmxmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-7)*(-12)\/48. Let -1\/7*i**4 + 0 + 1\/7*i**2 - 1\/7*i + o*i**3 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2509 + 2507. Sort 0.4, 1\/12, l, 0.14 in descending order.\nAnswer: 0.4, 0.14, 1\/12, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1430 + 32*u**2 + 726 + 704 - 18*u**2 - 27*u**3.\nAnswer: -27*u**3 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 29*h + 0*h**2 - 17\/20*h**5 - 5\/2*h**3 + 0 + 0*h**4. Find the second derivative of w(s) wrt s.\nAnswer: -102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = g + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:49 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 3, -2\/3, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40880*k + 12 = -4*t - 40879*k, -5*t = -2*k + 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-1*((2*sqrt(13) - sqrt(13)) + sqrt(13)))**2) + (-2*sqrt(1300))**2.\nAnswer: sqrt(13) + 5148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 15785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 102, 109, 116, 123?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865433?\nAnswer: 307, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 8*k - 1110000. What is k rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 1. Let u = 21 - 27. Let m(v) = -v + 2. Determine u*z(k) - 3*m(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -95*u + 17. Let g(c) = 47*c - 7. What is -5*g(x) - 2*z(x)?\nAnswer: -45*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309101117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2 + 5*j**2 - 3*j**2 + 55*j**2. Let y(s) = s**2. Give y(o(z)).\nAnswer: 4096*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(238\/(-105)) + 8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24532044, 24532052, 24532072, 24532110, 24532172, 24532264?\nAnswer: 24532392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (400\/(-2450)*-49)\/(20\/(-1))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1150*h. Let c(q) = 74*q + 2. Calculate n(c(r)).\nAnswer: 85100*r + 2300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-36)\/(-16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44*(-3)\/(-2)*(-1)\/(-1). Suppose -48 = 3*d - r. Let p(k) = 2*k**2 + 6*k - 2. What are the prime factors of p(d)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -175, 3\/20, -0.5, -1\/5 in descending order.\nAnswer: 0.2, 3\/20, -1\/5, -0.5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(-j - j + j) - j - 4*j - 4*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + h = 3, 12 = 3*r - 3*h - 6. Let a = -33 + 33. Sort 5, a, r in descending order.\nAnswer: 5, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 10\/99, -3, -2\/37, -18?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*z - 15 - 1, 5*z = 2*q. Suppose z*s = s + 16. Calculate the highest common factor of s and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36347 + 37201. Solve 802 - v = -26*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 5. Determine q(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3029255.\nAnswer: 5, 79, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 6*u**2 - 4*u - 7. Let d be x(-6). What is the highest common divisor of d and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483897 plus 13496?\nAnswer: 1497393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1647793552 - 1647793615.99999858. Let h = -64 - q. Round h to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2560*p = 2602*p - 4838442. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1756986 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 0*n**3 - 3*n**4 + 3442613 - 3443061 + 0*n**3 + 5*n**4 to g + f*n**4 + a*n + k*n**3 + u*n**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5372696 - -0.028088394?\nAnswer: 5372696.028088394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61590650421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(2*x + 632 - 632 + 0*x - 2*x + 4*x + (-1 + 0 - 1)*(-3*x + 0*x + 2*x) + x - 2*x + 2*x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1 (c) -0.7 (d) 0.7381 (e) -2\/3 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2349\/(-1044))\/(2 + 72307\/(-36152))?\nAnswer: 2, 3, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -880 - -1674. Let r = 1202 - k. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 393205 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3445657 - -0.5554342. Let q = 5.6 + -3.7. Let o = q - y. Round o to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1283262 and 39\/9196711?\nAnswer: 55180266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15435198 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -174996*g - 48. Let l be u(12). What is l rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108854 - 228854. What is n rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(2*sqrt(12)*-4))\/((sqrt(120)\/sqrt(50))\/sqrt(10)).\nAnswer: -5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2219*c**2*f**2*z - 391*c**2*z + 3*c*f - 53441*c*z + 26*f**2*z wrt c?\nAnswer: 4438*f**2*z - 782*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -2 (c) 1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r + 0*r - 8*r - 4*r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = t + 11, -6*t + 8*t - 4*g = 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/98)\/(15\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:50 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 79978, 86332, 92686, 99040, 105394, 111748?\n\"Answer: 6354*m + 73624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19\/50 + -7\/150. Let r = -5 - -10. Let v be (-4)\/6 - 195\/(-306). What is the smallest value in r, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -291?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.29\nAnswer: 0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6811*y**3 - 6805*y**3 + 13608*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601 = -4*y - 205. Suppose y*i + 7410 = 112*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64015575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 106*i - 446. What is x(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25247250 divided by 150.\nAnswer: -168315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 5*f - 2. Let g(k) = -9*k**2 - 60*k - 21. Let v(r) = -g(r) + 12*q(r). Let z(p) = -p**2 - 1. Calculate -v(y) + 3*z(y).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 + 130 + 695 = 59*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.189355?\nAnswer: -0.189355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 13*x**2 + 28*x + 28. Give l(-15).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 329490812 to the power of 1\/2, to the nearest integer?\nAnswer: 18152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20 and 31\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/11)*d)\/d)**(9\/2)\/(d**(1\/2)*d\/((d*(d**(9\/8)\/d)\/d)\/d)*d) assuming d is positive.\nAnswer: d**(-405\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9501587.\nAnswer: 9501587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14249 + 15593. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 12*z. Let o be x(-11). Let s = -6 - o. Suppose n + 17 - 44 = -s*i, -3*i + n + 13 = 0. Solve -2*m - 3*v = i, -2*m = -3*v + 2*v - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247805 take away -0.1?\nAnswer: -247804.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19a + -8793?\nAnswer: -85a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 476 - 154. Is (-1 - 1)*b\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r*u**3*v - 22*r*u*v - 3*r*v + 5*u**3 + 2*v - 2 with respect to u.\nAnswer: -3*r*u**2*v - 22*r*v + 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-253)\/(-11) - 25)*(-2 + 8 + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(8\/9)\/o*o)*((o\/o**(-28))\/o)\/o)\/((o*o**(-12)*o)\/o**7) assuming o is positive.\nAnswer: o**(397\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3235.\nAnswer: 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 4. Suppose -24*z - 245*z = -21*z + 744. Let l(w) be the first derivative of -w**3\/3 - 2*w**2 + 9*w + 1. Give z*l(q) + 7*k(q).\nAnswer: 3*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 25*a + 3. What is s(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.60000112. What is p rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*2\/1036*(-315)\/(-135).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocb when three letters picked without replacement from xsbsxxxxooocxco.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, y: 3}. What is prob of picking 1 p and 3 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -2.7. Let b = 95 + -92.6. Let s = v + b. What is the nearest to s in -0.5, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2*4\/6. Let h be 6\/(24\/31)*-60. Let c = h + 469. Solve -q*w + c*n = -4, 0 = w + 5*n - 2*n - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.082 + 8604222984.\nAnswer: 8604222983.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 326 - 325.5. What is the nearest to -6\/7 in -0.2, 0.08, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**4 - 860*l**3 - 7236*l**2 wrt l?\nAnswer: 120*l - 5160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/231 and -127\/1452.\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1072 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2637?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {e: 1, b: 2, d: 7}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -3*l**6\/2 + 87*l**5\/5 - 271*l**4\/4 + 99*l**3 - 60*l**2 + 16*l - 99. Suppose c(y) = 0. Calculate y.\nAnswer: 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 4 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11706963 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 7*p**2 + p**2 + 2*p + 1 + 19*p**2. Let o(i) = i**3 + i**2 + i + 1. Let h(r) = 3*o(r) - 3*q(r). Factor h(j).\nAnswer: 3*j**2*(j - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 18414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -1, -3, 0.\nAnswer: -3, -1, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 12713*l - 3018*l - 2*l**2 + 1331*l - 3866*l.\nAnswer: -2*l**2 - 18266*l + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + b = 6*d - 322, -84 = -d + 2*b. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 - 2)) + -3 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 9*g**2 + 69*g + 462. Calculate h(-7).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/28 + 2*l**3\/7 - 18*l**2\/7 - 11*l - 1. Solve x(p) = 0 for p.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (3 - (2 - 1)). What is the hundreds digit of 1 + -1 + n - (-122 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951124 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 610387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/40)\/((-4)\/6))\/(210\/40).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 10 = -3*g, 0*g - 8 = -2*g + 4*h. Let o = 62 + -25. Let v = -110\/3 + o. Which is the nearest to -0.2? (a) -3\/5 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(-9*f**2 + 8*f**2 - 10*f**2) + 2*f**2 - 5 + 3 - f**2 to the form l*f**2 + q*f + m and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7710 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 54 + 16 = 0. Let w = 23 + y. Suppose -w = -3*m - 0*m. Solve -24 = -5*c - 3*b, 4*b = m + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 4, 0 in increasing order.\nAnswer: 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -51. Calculate the greatest common divisor of 39 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127867.\nAnswer: 127867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 15 - 19 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 15*p**2 - 17*p - 21. Let h be v(-16). Let c(j) = -24*j + 8. Let n be c(h). What is the greatest common factor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109080 - -194621. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**3\/(m**8\/m*m\/((m**(1\/6)\/m)\/m*m)) assuming m is positive.\nAnswer: m**(-407\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -1 - 15\/2*s**2 - 4*s**3 - 3\/4*s**4 - 6*s. Suppose o(l) = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 26783.\nAnswer: 26785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8474696, -8474698, -8474700, -8474702?\n\"Answer: -2*h - 8474694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 6c9520?\nAnswer: 6c9522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/10275 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 5 (b) 0.03 (c) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {r: 1, s: 3, h: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495906419, -495906417, -495906415, -495906413, -495906411?\nAnswer: -495906409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v - 50*v = -5. Suppose 3*i - 1912 = 2*g, -4*g + g + 3212 = v*i. Suppose -5*c - i = -5*x, x + 2*c = 4*c + 131. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1037 - -60a0?\nAnswer: 5064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 14.6. Which is the closest to 1\/2? (a) m (b) -3\/8 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/213, -0.1, -1\/3, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/(-15) + 2\/5. Solve -5*o + z = 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 + 8244*g**2 = 0.\nAnswer: -4122, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159957 is divided by 4435?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29716338007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 8) to base 11\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**4\/4 - q**3\/6 + 3*q**2\/2 - 1. Let n(p) be the second derivative of j(p). What is n(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 47*o - 7. Let y(b) = -21*b + 3. Let v(i) = -4*n(i) - 9*y(i). Calculate v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 + -102. Calculate the lowest common multiple of 2 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/36*(1536\/160 - 8). Let s = -0.2 - -0.3. Which is the second smallest value? (a) s (b) -1 (c) 0 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4047.\nAnswer: 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 5525733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -234 and -5?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2051*a**2 - 7*a - 84. Let s(r) = r + 12. Give 2*l(d) + 14*s(d).\nAnswer: 4102*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*-6*-2*sqrt(360))\/(((sqrt(245) - (-1*sqrt(245) + sqrt(245))) + (2*sqrt(80) - sqrt(5)))*-5).\nAnswer: 432*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 q when four letters picked without replacement from cywywfcfqccuqyqu.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - 0.25. Suppose 2*v - 3*p - 13 = -0*v, 0 = p + 3. Suppose -v*x = -x. Which is the nearest to x? (a) -4 (b) -1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355214106 * -0.2\nAnswer: -71042821.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*g - 176, -178 = -5*n - g + 36. Let o be 48\/(-384) + (-99)\/(-24). Suppose -294 = -o*k - 2*x - n, 4*k - 246 = x. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (40095\/22 - 19)\/(1\/4*2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, r: 3}. Give prob of sequence eerr.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 2. Suppose -3*l + 0*l = -4*q - 93, l - 42 = 5*q. Let k = -29 + l. Let z(i) = i**2 - 1. What is k*z(j) + m(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (91 - 2*u + 101 - 195)*(-90 + 150 - 433) as y*u + l and give y.\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2591.048nm?\nAnswer: 0.0002591048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 1 - 10, 2*r - 196*a = -705 + 115 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -1\/8*f**4 + 0*f + 0 - 73*f**2 + 85\/3*f**3 + 11\/30*f**5. What is the derivative of t(w) wrt w?\nAnswer: 44*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*x + 60698 = -580*x + 1133*x for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*z + 7*z + 166, -344 = 4*m - 4*z. Let x(t) = 8*t. Let u be x(-6). Let v = u - m. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1\/23 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a minute?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10166010 a multiple of 1412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 2, b: 2, v: 3}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(3\/120))\/1. Suppose -b + 4 = 0, -y = -5*i + b - 6*b. Let h(z) = -5*z + z + 7 + z**3 - 6*z**2 - 2*z + i*z. Calculate h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, n: 1, k: 4, u: 7, p: 1, y: 1}. Give prob of picking 2 u.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/35? (a) -2\/9 (b) -8 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 + -3?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5938.\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 49*k - 19 - 23*k + 21. Let r(p) = p**2 + 1. Calculate r(l(c)).\nAnswer: 676*c**2 + 104*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 0 - (145 - 142). Let s(o) be the third derivative of w + 2\/3*o**3 + 0*o**4 - 13\/60*o**5 - 16*o**2 + 0*o. Differentiate s(i) with respect to i.\nAnswer: -26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30544114580 rounded to the nearest 1000000?\nAnswer: 30544000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t + 0*t - 4*t.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/5 - 2*k**4\/3 + 8*k**3\/3 + 16*k**2 - 12*k. Factor s(x).\nAnswer: -4*(x - 2)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/342 and 13\/659186?\nAnswer: 5932674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 22*g + 0 - 3 + 5.\nAnswer: -22*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110011111 (base 2) in base 10?\nAnswer: 9119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**4 - 232*d**3 + 150*d**2 + 23008097*d wrt d?\nAnswer: -72*d**2 - 1392*d + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 + -13 + 687 + 5. Let b = 1264 - y. List the prime factors of b.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289361, -579126, -869287, -1159844?\nAnswer: -1450797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 17 = -2*u, -3*u + 5 = 2*u. Suppose -10 = 5*p + 5*j, 0 = i*p - p - 5*j + 4. What are the prime factors of (16*2 + p)\/2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 136 + 19 + 13*i + 8 - 17 - i**2 + i. Determine v(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*n + 149796785*b + 39659869*n**4 wrt n.\nAnswer: 2*b + 158639476*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - x + 0*x)*(2*x + 0*x + 0*x)*(4*x - 2 + 2).\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 11:24 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 5*s**2 + 5*s + 4. Let j be y(6). Let p(m) = -9*m**3 - 3*m**2 - 4*m - 8. Let i be p(j). Suppose -i - 75 = -3*x. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -111, -206, -311, -432, -575, -746, -951, -1196?\n\"Answer: -l**3 + l**2 - 91*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, c: 1, x: 1, i: 1}. What is prob of sequence cl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/o**(-1\/6)))\/o)\/o*o**(-1\/4)\/o*o*o**(-3\/8)*o**(1\/3) assuming o is positive.\nAnswer: o**(-35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 less than 8975232400?\nAnswer: 8975232618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 4*y - 14. Let v be (11 - 2) + 2\/(y\/3). Solve v = -4*d - 0, -27 = -4*z + 5*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6952 and 72?\nAnswer: 62568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**4 + 0*x**4 + 2*x**4)*(-25 + 24 - 2*x - 2*x) + (-3*x + 4*x - 2*x)*((x**3 + 4*x**2 - 4*x**2)*(19*x - 43 + 43) - 22*x**4 + 15*x**4 - 22*x**4).\nAnswer: 18*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2)*-1 - 6. Suppose 16 = -7*z + 11*z. Which is greater: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/9258021 and -97\/156.\nAnswer: 481417092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 - (18434\/312 - 60)?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0, 0.025, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -6. Let c = 9.5 - w. Let o be (0 - 0) + (-4)\/(-4). Sort 2, c, o.\nAnswer: c, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 2*q**2 - 1. Let n be i(1). Let r be 1 + n\/((-3)\/3). Suppose -r*p - 16 = 2*p. Is p != -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 373122 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -22, -67, -150, -283?\n\"Answer: -2*p**3 - p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 4*a - 3. Let z be s(-3). Let h = 1 + 0. Solve z = -g - h - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 - 0.4. Let a = x - -3.1. Let r = 165.22 - 164.72. Sort -2\/3, a, -2\/7, r in decreasing order.\nAnswer: r, a, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -135, -0.3, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/10)\/(1\/5). Let u be ((-2)\/l)\/((-6)\/116). Suppose -2*o = 4*t + 46, -4*o + 3*o = 5. Is u equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26163 - -38?\nAnswer: -26124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -223367 + -646642. Let t be c\/3 - (2 + -5). What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-eight thirds of a hour?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 5*q**2 - 2*q**2)*(-21*q**2 + 249 - 249)*(-1 + 29 + 2 + 8).\nAnswer: 2394*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1116 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 8. Let v = -88331 - -88330.7. Which is the nearest to 1\/15? (a) v (b) 1\/3 (c) -4\/3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wup when three letters picked without replacement from xxxwxuuexpxzxpppuexp?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:50 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 22, 0 in ascending order.\nAnswer: -2, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from eknub?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23174, 185124, 624696, 1480700, 2891946, 4997244, 7935404, 11845236?\nAnswer: 16865550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + 6. What are the prime factors of r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505788.1ug in tonnes?\nAnswer: 0.0000005057881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11433838\/5 != -2286769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(96))\/((sqrt(144)\/sqrt(3))\/sqrt(6)))**2.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 36\/4) + -5 + 13. Let p(v) = 5*v**2 - 4 + y - 21*v**2 + 15*v**2. Let u(o) = 19*o**2 + 2*o. Determine p(u(s)).\nAnswer: -361*s**4 - 76*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20557 - 60557. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {y: 3, d: 5, f: 4, j: 1, v: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2530)\/154)\/(150\/(-210)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7339 - 5682. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 = -4*g, 3*g - 7 = v - 3*v. Let w be 2\/(6\/261) - v. Let m = 13 - 2. Calculate the greatest common factor of m and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (48\/(-9))\/(7540\/104) and -38\/29?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63526 is divided by 93.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, -1, 3, -409 in decreasing order.\nAnswer: 4, 3, 1, -1, -5, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/((-14)\/12) + 3. Let m(t) = 3*t - i*t - 6 - t**2 + 2*t**2. Let h(q) = 3*q**2 - 17*q - 17. Suppose 2*r + 1 + 11 = 0. What is r*h(v) + 17*m(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223969685149 - -223969558039.100041. Let o = -127110 - q. Let f = -0.1 - o. Round f to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67708.8583 and -4?\nAnswer: 270835.4332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 210005 divided by 5?\nAnswer: 42001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 68 + 38)*(-4 + 4 + 2*g) + (-2*g + 0*g + 0*g)*(-7 + 2 - 2).\nAnswer: 312*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40613308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 7*k + 1. Let b be u(-7). Let t be (-18)\/(-6) + 0 + b. Solve v = -v - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 7*l**2 - 11*l + 3. What is u(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (320\/48)\/(2\/66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - -3*(sqrt(7) + -1) - (sqrt(14)\/sqrt(2) + -1))**2.\nAnswer: -12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 9492098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*u + 12, 7*i - 174 + 90 = -6*u + 38*u + 2*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/3 + 34\/9*p - 2\/9*p**2.\nAnswer: -2*(p - 12)*(p - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q**2 - 16*q - 33. Let j be i(-2). Solve 3*h + 3*o - 25 = 2, o = j*h - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334644823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -63*u - 105. Let l(o) = 9*o + 15. Let d(b) = -4*j(b) - 27*l(b). Find the first derivative of d(w) wrt w.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 323, 655, 1095?\nAnswer: 1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, 0.5, 2, -14 in decreasing order.\nAnswer: 2, 0.5, -0.4, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a**2 - 12*a + 14. Determine c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4244990 and -17\/1697996?\nAnswer: 8489980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 - (-5 + 6 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i*m**3 - 6*i*m*s**2 + 213*i*m*s + i*s**2 - 4096*s**2 + s wrt m?\nAnswer: 6*i*m**2 - 6*i*s**2 + 213*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 11 (b) 0 (c) -7\/15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 2\/161, 2\/5, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/19)\/(-2) - (-86656)\/578835?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111179.\nAnswer: 73, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3 + 3 - -2)) + -70 - (-6265 + 6267)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6083338, 12166716, 18250090, 24333460, 30416826?\n\"Answer: -2*n**2 + 6083384*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 243. Let i = -103 + f. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3152748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 245 = 6*b - 9*b + 233, 0 = -2*w + 4*b + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 3, v: 5, j: 3}. Give prob of sequence kjj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -24 + 42*q**2 + 6*q + 0*q + 30 + 3*q**2. List the prime factors of f(-2).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(1\/6)*h*h*h)**(2\/3)*h**(4\/3)*h**(-19) assuming h is positive.\nAnswer: h**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1548913481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020682595 rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16191940 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 676158.7 weeks in days?\nAnswer: 4733110.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005717455 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*s + 12 = -244*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.462 to 1 dp.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 535037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22.4*9462\nAnswer: 211948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3796, 3817, 3840, 3865, 3892, 3921?\nAnswer: 3952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, s: 7, p: 1, w: 3, a: 3}. Give prob of picking 1 p, 2 k, and 1 s.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 2*m + 9*n - 17, m = 3*n - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 206 (b) -8.7 (c) 0.4 (d) 992 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7*k - 25. Let w = -0.98 + 1.98. Sort k, w, 5 in increasing order.\nAnswer: k, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 3*k**2 + 2*k - 2. Let v(z) = -3*z**3 - 6*z**2 - 5*z + 5. What is 5*p(f) + 2*v(f)?\nAnswer: -f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3227 + 3243. Solve 0 = -6*l - t - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101200 + 212?\nAnswer: 102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 138267 in increasing order.\nAnswer: -13, -5, 138267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5309 = -4*j + 5233, -5*j - 95 = 7*t for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1918682 by -461.\nAnswer: 4162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from jwuvwvnx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-3 + 20 - (-37 - -53))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 times 1031\nAnswer: -36085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - y - 13 = k, -716 + 671 = 3*k + 3*y for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212\/636*1\/(-2)*24\/15.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3123831 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -10, -9, -6, -1, 6?\n\"Answer: a**2 - 4*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w. Let h be x(3). Let q = h + 33. What is the remainder when q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = -3*l + 2*l, 2*l + 3*p + 6 = 0. Let w be (-2 + l + 17)*(-1)\/3. Let c be 14399999\/w + 9\/(-36). What is c rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 2\/2889 (c) 9\/122 (d) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4 - 600*r**3 + 7*r**2 + 4206*r + 3600 = 0. Calculate r.\nAnswer: -600, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + 12 + 4 - 5*-200. What is the highest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296606 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**8\/1120 + o**7\/140 + o**6\/60 - o**3\/6 + 5*o. Let k(t) be the second derivative of a(t). Factor k(f).\nAnswer: 3*f**2*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 9*s**2 + 22*s + 18. Let n be o(11). Suppose n*h - 740 = 13*h. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756853413.\nAnswer: 3, 17, 61, 211, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.39 + -2.19. Let s = 247405.8000008 + -247406. Let q = s + x. What is q rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 374153.284 to the nearest one thousand.\nAnswer: 374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 68*j. List the prime factors of k(2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2153 + -1347. Let y = 875 - g. What is the remainder when y is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 13*h - 10. Let z be a(-13). Let r(s) = 7*s**3 - 5*s**2 - 5*s - 3. Let i(y) = -4*y**3 + 3*y**2 + 3*y + 2. Give z*i(c) - 6*r(c).\nAnswer: -2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 21 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*q = w - 32, -4*w + 118 = 2*q. Let x = -207\/7 + w. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 5, 7\/13, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -0.5, -0.3, 2, 0.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 29*j + 82. Let x be g(-26). Suppose 0 = -5*c + x*s + 2876, 1724 = 7*c - 4*c - 2*s. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/7486944 and 59\/934.\nAnswer: 7486944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 112, 14, -308, -986, -2152, -3938, -6476, -9898?\n\"Answer: -22*q**3 + 20*q**2 - 4*q + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Total of -0.221 and -5.\nAnswer: -5.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 - -144. Solve 0 = -5*a, -v*k - 4*a + 5*a = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*3\/(-12)*-4. Calculate the highest common factor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9719 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = b + 4*b. Let v = -11 + b. Suppose 2*x = -m + 120, -5*x + 130 = -v*m - 170. Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5977217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifiiiii. What is prob of picking 2 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:06 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/77 + (2 - (-5177)\/14). Let a = 362 - c. Find the common denominator of a and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111\/28 + 17\/4. Let w = 0 + -6. Let u = w + 9. Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 + 12*n**2 - 382*n\/5 + 132.\nAnswer: -2*(n - 22)*(n - 5)*(n - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 30 = -2*v, 3*v + v - 18 = -5*m. Suppose -711 = -5*s + 4*f, 0 = 4*s + m*f - 3*f - 544. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**0*c))\/((c\/(c**(-5)\/c))\/c)*c**(3\/8)*c**(2\/13) assuming c is positive.\nAnswer: c**(-673\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251539597 to the power of 1\/2, to the nearest integer?\nAnswer: 15860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 61379.71 to the nearest one hundred.\nAnswer: 61400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3518491065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7053, 6996, 6939?\nAnswer: 6882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*p**2*x + 91715*d*p*x**3 + 27*d*p*x + 60*p**2*x**3 + 11*p**2*x - 151*p*x**2 wrt x?\nAnswer: 550290*d*p + 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1513\/6 - -8315\/33. Find the common denominator of 109\/66 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 4*z**2 - 43. What is the thousands digit of a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 2066596*j**2 - 10333064*j - 8266464 = 0. Calculate j.\nAnswer: -4, -1, 516654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q + 47*q + 51*q + 116*q - 273*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*j**2 + 3184*j - 636.\nAnswer: -4*(j - 159)*(5*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/10)\/((-1)\/14). Suppose 2*v = t + 5. What is the remainder when (44\/6)\/(2\/6) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119.25 + 119.22326. What is f rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f = 0. Suppose 5*d - 6 = 2*d. What is n in 1\/3*n**3 + 0*n**d - 1\/3*n + f = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = k - 417, -8*f + 12*f + 4*k - 548 = 0. Calculate the highest common factor of 35 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 168 = 58. Suppose 2*t - 11 = -v, -6*t + 3*t = 5*v + 1. Is t\/q - (-537)\/15 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.45, -3, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.32 - 4.36. Let s = j - -0.04. Let w be (1\/5)\/((-1)\/(-2)). Which is the second biggest value? (a) s (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 6. Suppose 10*n - 967 - 93 = 0. Suppose n = 5*z - 59. Calculate the smallest common multiple of z and c(-6).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -1\/2 (b) -2 (c) 1\/10 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/4 - 5*t**3\/3 + 4*t + 1. Let m be n(5). Solve -2*s**3 + s**3 + 3*s**4 - 2*s**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.135271 rounded to 0 decimal places?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*c - 127*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 7) to base 3\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -152027142 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 420\/168*12\/(-75)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 49*w + 96. Let b be s(-50). What is the second biggest value in b, 1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d - 7 = -47*d. Does 10 divide 411 - -5 - (d - -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 7*k + 5*l - 29, 5*k + 25 = 4*l. Which is smaller: 6\/215 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672 (base 12) to base 10.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632365.\nAnswer: 5, 126473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 - u + u + u)*(u**2 + 2*u**2 - 4*u**2) in the form i + s*u + m*u**2 + q*u**3 + b*u**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 11. Let m(r) = 6*r - 22. Let c(d) = 4*m(d) - 10*p(d). Let b(z) = -2. Determine 22*b(o) + 2*c(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/93780 and -179\/27636?\nAnswer: 215975340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.21585 minutes to days.\nAnswer: 0.0105665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3110 + -1111201?\nAnswer: -1103041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 18. Let n(g) = -7 - 1 + 15 - 9. Let k(x) = -18*n(x) - 2*z(x). Let v(u) = -4*u**2. Determine k(v(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f. Let t(a) = -a + 6*a + 2*a + 6*a. What is l(t(o))?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9024 by 5.\nAnswer: 9024\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {e: 5, k: 1, f: 7, a: 3}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u - 27*u = 428 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227421\/5 + -227418\/5. Suppose -n*v**2 + 186\/5*v - 2883\/5 = 0. What is v?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393 + 437 = -11*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712 less than -2015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/213 and -125\/42.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1161 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Let v be ((-69)\/(-184))\/(((-33)\/72)\/(-11)). Find the second derivative of -i*y - v*y**2 - y**2 - 6*y**2 wrt y.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - 149*p - 228*p - 144*p + 111*p to z + u*p and give u.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2381*r - 54734. Determine f(-23).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4863333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000072813 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -0.2241.\nAnswer: 0.2759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -6810.37317.\nAnswer: -6809.87317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 24 = -1629*j + 1630*j, 5*j + 4*c = -15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f**3 + 154 - 155 - f - 29*f**3 + 11*f.\nAnswer: 6*f**3 + 10*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2) + -8 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h*y + 9*h + 8*y - 3 wrt h?\nAnswer: -3*y + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 61. Let p be (-580002)\/4 - ((-10)\/4 + r). What is p rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2046 and 6?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148856 is divided by 260?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 8*c**2 - 12*c + 4. Let k be i(6). Is 4 a factor of -2 + 45 + (k + -6)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*c - 13*c + 2*c**3 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5049 is divided by 1148?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 76. Let z = p + -40.09. Let l = z - -1.79. What is l rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56683 - -455898. Suppose -2331281 + a = 13*r. Round r to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -da25 (base 14) to base 3\nAnswer: -1220200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 1. Let j(l) = -6*l - 7. Let u = -70 + 68. Let h(c) = u*j(c) + 14*d(c). Let k(m) = 2*m**2 - m**2 + 0*m**2. Calculate h(k(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v. Suppose -s = -5*s, 5*g = -5*s + 10. Let k(c) = -3*c**g + 2*c - 2*c. Calculate i(k(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23061 and 29.19.\nAnswer: -23031.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 2 - 2*v**3 + 1 + 74*v**4 + 2*v - 30*v**4 - 32*v**4 to q*v**4 + m*v + y*v**3 + o + u*v**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8550 and -41\/1368?\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 1\/86 (b) -0.09 (c) -17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/((-1089)\/(-9)) + 2\/(66\/345909).\nAnswer: 2, 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/7)\/(x\/((x\/(((x**(-2\/7)*x)\/x)\/x))\/x))*x**2\/(x**(-1\/7)*x) assuming x is positive.\nAnswer: x**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - 26?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(0\/(-1) + 1). Let c = q - -2. Let k(g) = 3*g**3 - 8*g**2 + 5*g - 2. Let b(x) = x**3 - 2*x**2 + x - 1. Let d(s) = 4*b(s) - k(s). What is d(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m + 10569 = 63*m - 290*m for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 + 4*m + 3. Let z = 0 - 7. Let t be q(z). Suppose 3*n - a - 16 = 0, -2*n + 3*a + t = 5*a. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 60, -26, 2 in ascending order.\nAnswer: -26, -1, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -27.3 (b) -68 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -17, 0, 15\/26, -0.4 in ascending order.\nAnswer: -17, -0.4, 0, 0.3, 15\/26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -379dc0d?\nAnswer: -379dc10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaavavaavvavavava. What is prob of sequence av?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90137.9 grams in tonnes?\nAnswer: 0.0901379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*(-1 - 0). Let z = -35 + 35.4. Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.9, 2, 3.\nAnswer: -0.9, -0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 5)*(3*x - 3*x - 2*x + (-1 + 1 - 2*x)*(-30 - 4 - 31)) as q*x + i and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llelelelllllcleell. What is prob of picking 1 l and 1 c?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*4\/(-18)*(-189)\/126?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:07 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62549665\/13 - 3925507373\/819. Let b = -18463 + d. Find the common denominator of b and -109\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 511874 divided by -2\nAnswer: -255937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -722477391, -722477385, -722477375, -722477361, -722477343, -722477321, -722477295?\nAnswer: -722477265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 6)*2\/(-2). Let c = 2 - x. Let i be 21 + (-2)\/c*1. Solve -q - 4*g - 8 - 5 = 0, 3*q = -2*g - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.37 from 213121071.\nAnswer: 213121071.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1230 + -1205. Solve 25 = 25*h - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 25*t**2 + 58*t - 110. What is j(27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.97*0.5.\nAnswer: 0.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c22 (base 13) in base 11?\nAnswer: -12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by 8?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1592.5317 - 2.4317. Let h = 283.1 - p. Let y = -1306.99998997 - h. Round y to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/3 - (-1)\/3. Let r(b) = 5*b**2 + 3*b**3 - b**3 - b**3 - 6 + 5*b**2. What are the prime factors of r(k)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2697)\/(-159) + (-10 + -4 + 35 - 38)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -30, 0 in decreasing order.\nAnswer: 0, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, 92, -0.5?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -2, 6, 32, 82, 162?\n\"Answer: g**3 - 11*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/4)\/((-45308)\/(-7802)) and 37\/20?\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 434\/10145 or 1?\nAnswer: 434\/10145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7046 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 15303 + 6023. Let v = -546 + d. What is the second smallest value in -0.1, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*p - 252, -607*z + 71 = -606*z - 5*p. Solve 4 = -z*l + 63*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4368?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/3 + (-2)\/(-6). Let g be ((6\/(-5))\/(-1))\/(9\/30). Let s(p) = p**2 + 11*p - 1. Let r be s(-11). Sort t, g, r in descending order.\nAnswer: g, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -555 + 235. What is q rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-84) + ((-90)\/12)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 5. Let j be d(15). Let o(s) = s**2 + j - 10. Let r(g) = 5*g**2. What is o(r(t))?\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.8. Let a = -6.5 + 6. Let w = 0.9 - -3.1. What is the closest to 2\/7 in a, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 + 142*c + 146. Let i(n) be the third derivative of -n**5\/60 + 47*n**4\/24 + 8*n**3 - 162*n**2 + n. Let s(v) = -3*d(v) + 10*i(v). Factor s(r).\nAnswer: 2*(r + 1)*(r + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10724447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*h - 120, 3*c - 69 - 4 = -4*h. Let d = c + -15. Solve -3*s - d = 5*t, 2*t + s + 0 = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (8 - (12 - 14))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 17*d**4 + 20*d**3 + 4*d**2 - 20*d - 7. Let k(y) = -9*y**4 - 10*y**3 - 3*y**2 + 10*y + 4. Let p(s) = 7*k(s) + 4*t(s). Determine c so that p(c) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14256129\/65 >= 219326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 125337602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 1500048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(77)*-1 + sqrt(77) - sqrt(77))\/sqrt(7))**2.\nAnswer: -6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4291620 divided by -4.\nAnswer: 1072905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -67*t**3 - 3*t**2 - 10*t - 66. List the prime factors of k(-5).\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5\/2 + 46*s**4 + 491*s**3\/2 - 291*s**2 = 0?\nAnswer: -6, 0, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -913*a - 44. Calculate b(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 1.2. Let k = -1 + x. Let c = 0 - k. What is the third smallest value in c, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505561732.\nAnswer: 2, 13, 107, 90863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212.6147 + 0.7947. Round u to the nearest integer.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-35)*135\/(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -997097932 - -996902642.5649. Let z = q + 195504.43510127. Let t = -215 + z. Round t to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 1. Let l(a) = -9 + 11 - a - 4. Give -6*l(p) - 7*t(p).\nAnswer: -p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60780 divided by 15195.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 3*m. Let o(l) = l**2 + 2*l. Let p(d) = -2*h(d) - 3*o(d). Let a(c) = -17*c**2. What is p(a(x))?\nAnswer: -289*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 89*h**2 - 2*h + 2. Let d(b) = -268*b**2 + 6*b - 6. Determine 5*d(y) + 14*n(y).\nAnswer: -94*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/36738 and -133\/12?\nAnswer: 73476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3800*u - 19026. Determine d(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53a3d + b?\nAnswer: 53a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950720*s = 1951176*s + 3648 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*n + 16 = 0, 5*o + 5*n = o + 21. Suppose 35 = -3*p - 5*f, 0 = -4*p - 0*f + 5*f. Let s = p - -2. Put 0, s, o in increasing order.\nAnswer: s, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*g + n, -9*g + 7*g - 2*n = 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20576 * 61.7.\nAnswer: 1269539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62505701 or 1\/2?\nAnswer: 62505701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32524, -32522, -32520, -32518?\nAnswer: -32516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6*3\/2. Suppose -q*w - w = -60. Let d = w + 63. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11033 is divided by 3046?\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52248 + (10 - (26 - -9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 20*f**2 - 19*f + 5. Let d be u(19). Solve 0 = -4*r - 0*i + d*i + 40, 4 = 4*r + 4*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 83\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 61.2. Put 0, 0.1, x, -1 in increasing order.\nAnswer: -1, x, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + q**3 - 3*q**3 + 2*q**3 - q**3 + q**3 + (2*q + 1 - 1)*(-4 - 2*q**2 + 4) + 0*q**3 + q**3 + q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-1*(-6 + 3). Suppose -4*c + 4*r + 28 = 0, c = x*c + 5*r - 7. What is the lowest common multiple of ((-9)\/c)\/(9\/(-60)) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnccnnccn. What is prob of picking 3 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5764*s**4 - 5752*s**3 - 495716*s**2 - 1522728*s - 3168 = 0?\nAnswer: -6, -4, -3\/1441, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxccxxcxvxxcxxzclzcx. Give prob of picking 1 z, 1 x, 1 c, and 1 v.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, a: 4, s: 4, p: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 9. What is h(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -128*y**3 - y**2 + 1. Suppose 66 = -v + 65. What is the hundreds digit of u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504 at most 478946\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*a**2 + 1 - 423*a**2 + 2 + 12 - 15.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0 (c) 1 (d) -0.1 (e) -4.892\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*k = 25, -34*v - 21*v - 5*k = -52*v + 28 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**5 + 4*s**5 + 5*s**5 + (-s**2 + 3*s**2 - s**2)*(-2*s**3 + 5*s**3 - 2*s**3) + s**2 + s**5 - s**2.\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**4*s)\/s)**48*(s\/(s**(1\/8)*s*s))\/s*s*((s**(3\/14)*s*s)\/s)\/s assuming s is positive.\nAnswer: s**(13389\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -56, -106, -170, -254, -364?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, w: 2}. Give prob of sequence xxw.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235938142 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -15 - -17 - 26 - -15) + -34.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46073801238 + 46073801238 - 9*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 296\/(-56) - 4\/(-14). Let t(k) = -1 + k**2 + 6 + 8*k - 4*k. List the prime factors of t(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 14161580*g - 50137587024100.\nAnswer: -(g + 7080790)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -418 - -1202. Suppose -8*a + a + b = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/1735 and -67\/44560?\nAnswer: 15462320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -368\/9 = -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7988298, 7988275, 7988252, 7988229, 7988206, 7988183?\n\"Answer: -23*v + 7988321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12) + (-8)\/3. Let k = -207 - -320. Let m = k - 112.5. Which is the third biggest value? (a) -0.1 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.71209 micrometers to millimeters.\nAnswer: 0.04671209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-1) + (27 - -1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 129951*b + 6235344.\nAnswer: (b - 129903)*(b - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -6 + 7 - 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1110?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 + 136. Suppose -4*g = -h*j - j, -g = -3*j. Factor 2\/11*p**2 + g*p - 2\/11*p**4 + 0 + 0*p**3.\nAnswer: -2*p**2*(p - 1)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyll when four letters picked without replacement from ylllyyl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**5\/20 + g**4\/6 + 5*g**3\/3 - 5*g**2\/2 - 14*g. Let c be v(4). Solve 15 = 5*y + 2*z + c*z, 3*y = 2*z - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j + 60. Give a(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from {v: 2, z: 7, k: 1, g: 3, s: 6}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*d - 14659 = -14665, -3*v - 47 = 4*d for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c = 125. Suppose 9*v - 5*v = 16. What is the smallest common multiple of v and c?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -2 - -43 - (12 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a - 10*a**5 + 6*a**5 + 2*a**3 - 2*a**3 wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Let r be -2*(-2)\/(-4)*-2. Solve -r = -s - g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/14 (b) 0.4 (c) 2 (d) -4 (e) 0.5 (f) -3336.8 (g) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443427, 885726, 1328025, 1770324?\nAnswer: 2212623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148506127.\nAnswer: 7, 11, 59, 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53700 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**6\/120 - m**4\/24 - 3*m**2. Let b(z) = -2*z**2. Let q(y) = b(y) - f(y). Factor q(j).\nAnswer: j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3604, 0.923, 0.2, -2 in descending order.\nAnswer: 3604, 0.923, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1038 - 561. Suppose 3*q - w = 156. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160450109 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 132912 = 68*h - 116233. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 8:41 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 2. Let u(f) = -2*f + 5. Let r(n) = 5*d(n) - 2*u(n). Let b(w) = 2*w**2. Calculate -b(k) + 5*r(k).\nAnswer: -2*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/4 (c) 79 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-620)\/(-6)*-17*33\/(-7106). Which is smaller: c or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 479\/8 + -60. Let p(z) = 4*z - 58. Let c be p(15). Suppose 2*s - 4 = 4*b, -c*s = 5*b + 3 + 2. Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 489400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1053 divide 2180917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3442655, 13770656, 30983991, 55082660, 86066663, 123936000?\n\"Answer: 3442667*u**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*1*(-1 + sqrt(500)) + -1)*-4.\nAnswer: -960*sqrt(5) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-12)\/40)\/(-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357 by 357.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - 2727\/(-54). Calculate the greatest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 v when four letters picked without replacement from {o: 7, r: 6, v: 4}.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/276 and 73\/46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 14*k - 2*k + 9 - 4*k.\nAnswer: 4*k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1 + 10*g - 1 - 6*g. Let l be t(1). Let p(i) = 3*i - l*i - 5*i + 3*i. Let c(x) = 4*x. Determine p(c(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**5 - 7*n**4 - 1159*n**2 + 904709*n wrt n?\nAnswer: -20*n**3 - 84*n**2 - 2318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 157?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 72 = 490. Let r = h - -62. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396502507 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12239705 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 0)\/((-8)\/(-216))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 318 = -8. Suppose -2*o - 2*c = -808, -3*o + c + 2014 = 2*o. Suppose -6*z + o = 7*z. Calculate the greatest common divisor of g and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.735 - 2.265. Which is the nearest to 0.1? (a) 4 (b) 0.6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/5 + 25*d**4 + 236*d**3 + 560*d**2 - 5029*d. Find z such that h(z) = 0.\nAnswer: -70, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36399 is divided by 572\/66*(-63)\/(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 73.523143 and 2.\nAnswer: 75.523143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/18 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/40 + (-49)\/(-84)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m - 137 = 4*h, -4*m - h = -208. Let a be (-1)\/2 + 46\/(-4). Let b = a + 30. What is the remainder when m is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q**5 - 7*q**2 + 2*q + 3*q**2 - 54*q**4 + 58*q**4 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67c - -9?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 + 81*a**2 - 60*a + 71. Let r be t(-21). Sort 0, 5, r, -8 in descending order.\nAnswer: r, 5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 11 = -5. Let v(a) = 6 - 2 - 2*a + 2*a**2 - d*a + 2*a. Is 10 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Let c(k) = k**3 + k**2 - 4*k - 3. What is the remainder when (-25)\/(-5) - (1 + f) is divided by c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 1\/12*k**4 - 2\/3*k**3 - 8*k**2 + 0 + 0*k - 1\/60*k**5 + 1\/24*k**6. Does 6 divide u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 930\/4)*(0 + 4). Suppose -z + 2*s = -693, 1157 + p = 3*z - 5*s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.465063nm in kilometers?\nAnswer: 0.000000000006465063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6 = 3*w. Suppose -w*l = -0*l + 36. Find the common denominator of -93\/2 and 4\/l - 169\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 32.1. Let h(w) = w**3 - 10*w**2 + 10*w - 8. Let r be h(9). Let t be (-2)\/3 - 2\/24. What is the closest to d in r, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**3 + 3*i**2 - 5*i + 134. Let v(q) = -7*q**3 - 4*q**2 + 4*q - 134. Let g(d) = 4*a(d) + 3*v(d). What is the first derivative of g(w) wrt w?\nAnswer: 9*w**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - l = 343, -j = -3*j - 5*l + 257. Suppose g + 3*k - 78 = 0, -2*g + 54 + j = -k. Suppose 0*u - g = -u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396756319?\nAnswer: 17, 23338607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -41?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 580, 7, -5.\nAnswer: -5, 1, 3, 7, 580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6598259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 12*c = -1. Suppose -c = r - 3. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -698, -715, -742, -779?\n\"Answer: -5*d**2 - 2*d - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*r - 3*z + 417 = -229*r, -4*r - 5*z + 407 = 0. Suppose y - 14 = 3*x + 4, 3*y = -5*x + 26. Calculate the lowest common multiple of r and y.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - c = -209364, 3*j - 4*c = 90665 + 34958. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 4*k - 4*k + (-2*k - 2*k + 7*k)*(1 + 1 - 4))*(7 - 3 - 1) to the form x + w*k and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v - 3*r = -6, 4*v - 37 = -5*r. Let t(h) = 1 - 5 - 1 - 3*h + v. Is t(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:16 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 1:08 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 75*t - 11168. Let u be f(149). Let r(i) = -i + 14. Let q(y) = -7. What is u*q(c) + 4*r(c)?\nAnswer: -4*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 4*r + 4*r)*(r + 2*r - 2*r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1312\/15 at most -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979*l**3 + 0*l**2 + 0*l**2 - 1332*l**3.\nAnswer: -353*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506425 is divided by 803?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*0\/(-7 - -4). Suppose r = -l*r. Suppose 2*p - 3*u = 21, r*p - p = 3*u - 24. Solve q = 4*q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 5*m**3 - 4*m**3)*(-2*m + 2*m**2 + 2*m + (-3 + 5 - 3)*(m - m**2 - m) - m + m - 2*m**2).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -284, -4, -11.91?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j + 843. Calculate k(59).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10633743 and -7?\nAnswer: 10633750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from ptptptntpnp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**4\/12 - 5*d**2. Let n(p) = 3*p**2 + 5*p + 5. Let o(x) = 3*x**2 + 6*x + 6. Let m(y) = 6*n(y) - 5*o(y). What is m(k(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 6:05 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 43*k**2 - 64*k - 284. Is 56 a factor of c(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0 - 1\/3*j**3 + 0*j**2 - j. Let q(p) be the third derivative of -5*p**4\/24 - p**2. Give h(q(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 364575 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*l + 22*l + 8. Solve 0*p + l*p + 10 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1258*y**2 - 842*y. Let t(a) = 1257*a**2 + 828*a. Let s(h) = 4*t(h) + 5*v(h). Find the second derivative of s(c) wrt c.\nAnswer: -2524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - 5*(4 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 246. Calculate the highest common factor of 37 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 4.1. Let s be (-2)\/6 + (-13)\/(-12). Let u = 0.8 + -0.9. Which is the closest to u? (a) g (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 33*u**2\/2 + 14*u - 50. What is the first derivative of t(o) wrt o?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/67604 and -15\/22782548.\nAnswer: 22782548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -534335 - 321?\nAnswer: -534656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 12) in base 5?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -25*d + 39 - 39 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 643*14\nAnswer: 9002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/5 - 32*c**2\/5 - 22*c - 76\/5 = 0 for c.\nAnswer: -2, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.7730743ns in weeks?\nAnswer: 0.00000000000011371209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1. Suppose -6 = -41*n + 40*n. Let r(l) = -l + 4. Determine n*u(t) - r(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyyuuggguugg. Give prob of sequence uyu.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyr when three letters picked without replacement from yrrrrryy?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152140.\nAnswer: 2, 5, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 95*g = -93*g, -5*g = -2*u + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1112, -1137, -1176, -1235, -1320?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 9*r**2 + 5*r - 5. Suppose -7*f + 28*f - 63 = 0. Suppose 3*s = -l + 7, -5*l + f*s = 8*s + 15. Calculate c(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862818787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 4. Calculate the remainder when t(14) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236222983 + 3*f**3 + 23*f**3 + 236222983.\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + 7*j**2 - 2*j - 4. Let y(q) = -7*q**3 - 16*q**2 + 2*q + 7. Let p(m) = -5*i(m) - 2*y(m). Determine p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 1008. Is 41 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 8*a - 3. Let s be j(-12). Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74544 * 14.\nAnswer: -1043616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -290, 3, -0.4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*z + 4, -r + 5*r - 12 = -2*z. Suppose -r*s - 5 = -3*s. Suppose -4*u - 3 + 5 = 2*y, 0 = -s*u - 5*y - 5. Solve u*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107361.\nAnswer: 3, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831136057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjk. What is prob of sequence jk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 + 116 - ((-1 - 0) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 10*w - 2193*w**3 - 2794*w**3.\nAnswer: -4987*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -153578*d**2*t - 179301*d**2 + 2*t**2 - t wrt t.\nAnswer: -153578*d**2 + 4*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - 442*o + 19*o**2 + 74 - 144 - 15*o**2 to the form d*o + y*o**2 + b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*v = -6, -4*v + 3 - 2 = 3*u. Let g(c) = -4*c + 1. What is the units digit of g(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3399395 + -0.34. Round w to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2369 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 22187?\nAnswer: 22182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (46\/(-5))\/(17\/(255\/(-6))) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7318 + -18531?\nAnswer: -11213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 23 - 7. Suppose 15*k - 882 = 12*k - 3*t, -3*k + 879 = z*t. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 11*h + 34. Let m be j(-6). Suppose -m*d + 883 + 345 = 0. List the prime factors of d.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 6430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400758 to the power of 1\/2, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323230 + -20?\nAnswer: 323210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 = -3. Let s(p) = 4*p - 1. Let v be s(u). Which is smaller: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-8))\/((-2)\/(-18)). Which is greater: u or -19\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 54570*h + 272864. What is i(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4926 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*o, -o - 4*l = l + 7. Suppose -4*v + o + 9 = 0. Suppose 0 = -8*d + v*d + 70. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/5 - 2106*w**2\/5 - 739206*w\/5 - 86487102\/5 = 0 for w.\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (252\/30)\/((-1)\/(-10))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417713775?\nAnswer: 3, 5, 5569517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 479? (a) -2\/9 (b) 2\/11 (c) 63 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33238 - 4762. What is r rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.633 - 0.367. Let p = 1.5 + -1.49. Which is the smallest value? (a) 2 (b) p (c) z (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmjjjmz. What is prob of picking 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 864938342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6010 - -3?\nAnswer: -6004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 13. Let n = -5 + s. Suppose -2*p + 158 = n*m + 38, 4*m - 213 = 5*p. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 0.841.\nAnswer: 0.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i + 3. Let g be x(2). Let z = -9 - g. Let q(t) = -t**2 - 3*t**3 + 38 + 4*t**3 - 2*t - 40. What is q(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + p + 3846 = -4134, 5*r - 3*p - 7980 = 0. Suppose 0 = 40*l - 34*l - r. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o**2 - 6*o - 7. Let m(y) = 12*y**2 - 5*y - 6. What is -5*a(i) + 6*m(i)?\nAnswer: 7*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -0.0353, -2.4 in ascending order.\nAnswer: -2.4, -0.0353, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8, 0, -25, 88.1, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 77.06, -0.151, 1\/5.\nAnswer: -0.151, 1\/5, 0.4, 77.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((6*sqrt(363)*-1 + 5)**2 - (-2 + -2 + sqrt(363)*-1)).\nAnswer: -39291 + 1947*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 184026107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0*f - 701\/120*f**6 + 1\/60*f**5 + 0 - 1\/6*f**3 - 18*f**2 + 1\/24*f**4. Let r be g(-1). What is r rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 4 - 4 + 13 - 32 - 7*q.\nAnswer: -7*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 4*f**2 + 14. Calculate i(-6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:53 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.9 + -7. Let c = s + 0.05. Let k = c + -0.95. Is -1\/5 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8992?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, -1, 430, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159959244?\nAnswer: 2, 3, 29, 109, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014056302 rounded to six dps?\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 3*p**2 + 9*p + 11. Let t be o(5). Solve 0 = t*d - 5*d - 5*f - 1, 4*d - f = -15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from arijjijjjiiiiiajii.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9807.855 kilograms?\nAnswer: 9807855000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -247, -542, -939, -1438, -2039, -2742?\nAnswer: -3547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/85 - (-69)\/15. Let m = 1.5 + -1.41. Let s = m - -0.01. Put -2\/11, w, s in increasing order.\nAnswer: -2\/11, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, a: 2, c: 6}. Give prob of picking 4 w.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7760*a + 21506*a + 21938*a - 12869*a + 31752*a + 19462*a)*(0*a + 0*a - a).\nAnswer: -74029*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z**3 + 2*z + 1. Let n be c(-1). Let v be (-7)\/(n\/2) + -1. Let k = v + 7. Calculate the smallest common multiple of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 - -192.4. Let z = 0.3 - 0.1. What is the closest to z in m, 0.5, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -242274 and -242275 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkdr when four letters picked without replacement from {r: 1, x: 1, u: 5, k: 10, f: 2, d: 1}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/9*12\/(-4)*4\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 39, 87, 163, 273, 423, 619?\n\"Answer: u**3 + 5*u**2 + 4*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76053384 rounded to the nearest one hundred thousand?\nAnswer: -76100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*g - 142 + 157 = 0, 2*r + 5*g = 14. Suppose z - 5 + 3 = 0. Suppose 0 = x + 4 - z. Sort 0, r, x, 3 in decreasing order.\nAnswer: 3, 0, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9422, 19940, 30458, 40976?\n\"Answer: 10518*x - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 3, -19 in descending order.\nAnswer: 3, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*c**3*j**3 + 2*c**3 - 44*j**3 wrt c.\nAnswer: 48*c**2*j**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51259023967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2171*z**2. Let v(i) = -717*i - 5. Give v(r(x)).\nAnswer: 1556607*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/35 and -173\/7728?\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1 (c) 42286 (d) -18 (e) -2\/23 (f) -4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:38 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**8\/2240 - n**7\/56 + n**6\/5 + 8*n**5\/5 + n**4\/6 + 8*n - 2. Let g(z) be the third derivative of i(z). Factor g(l).\nAnswer: 3*(l - 8)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.79 - 0.01. Let h = 0.3 - 4.3. Sort h, d, -0.1.\nAnswer: h, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + -6 + (6 - 5) + -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -23. Suppose -4*r + 68 = -4*b, -4*b + 20 = 2*r + 70. Let y = i - b. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from xhntxxhxhhxqh?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 13. Suppose -5*k = -o*v + 10, -10 = -5*v + 2*k - 0. What is the third derivative of -5*s**2 + 0*s**2 + v*s**2 + s**2 + 3*s**3 wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 96, -197 in descending order.\nAnswer: 96, -2, -4, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 b when four letters picked without replacement from {g: 2, b: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -9*h**4\/8 + 14*h**3 - 153*h**2\/4 + 21*h - 700. Factor l(x).\nAnswer: -3*(x - 7)*(x - 2)*(3*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 3 (c) -204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5648928 + 363511?\nAnswer: 6012439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*y - 1. Let b be (y + -47 + 0)*-1. What is the hundreds digit of (0 - -4)\/2*2520\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023137 times -4?\nAnswer: 4092548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -5\/34 (b) 2 (c) -6 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**2\/2 - 3*t + 30. Give d(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Let p = j + 2. Find the second derivative of 0 - t**2 + p*t + 0 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (0 + (4 - 15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -596.153 + 8.253. Let w = 588 + y. Let c be (-1 + 1)*(-1)\/1. Sort w, c, -2 in decreasing order.\nAnswer: w, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, c: 2, p: 3, f: 3, l: 8}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2788239 or -2788226?\nAnswer: -2788239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 218 + 63)*(3*f + f - 2*f + 4*f + f - 3*f + (0*f - 5*f + 3*f)*(4 - 4 - 1) + 3*f + f - 2*f + f + f + 0*f) in the form a + n*f and give n.\nAnswer: 2840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 37*n - 2. Let y(i) = -11897*i. Determine c(y(p)).\nAnswer: -440189*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a - a)*(-3*a + 5*a - a)*(4*a - 3*a + 3*a) - 2*a**3 + 6*a**3 + a**3 + (a - 2*a + 2*a)*(-2*a**2 + 2*a - 2*a) - a**3 + 4*a**3 - 5*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59537099.\nAnswer: 881, 67579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + -2 + 9)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277.857254 + 277.82. What is j rounded to 4 dps?\nAnswer: -0.0373","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/9)\/(80\/(-32))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.8645*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqzqqqbzqbqq. Give prob of picking 1 b and 2 q.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3169 - -63349\/20. Find the common denominator of (-30)\/(-50) - (-79)\/(-90) and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38056528\/15 bigger than -2537103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7810, 99, 2.\nAnswer: -7810, 2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -680 + 1071. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -138*m - 4266. Let c be i(-31). Solve -f - 6 = 2*x, c*x - 10*x + 3*f + 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5783\/133 + -304\/7. What is the closest to -9 in 0.5, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*i = 3*i - 4, -4*k - 2*i + 24 = 0. Differentiate 3*m**4 - 16*m**k - 8 + 2 wrt m.\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-1\/7)*a**(-5\/8)\/(a*a*a**(-3\/8)*a))**(26\/7) assuming a is positive.\nAnswer: a**(-169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1156.8 + -1157. Suppose -3*k - 3*g - 30 = -6*k, 4*g + 30 = 2*k. Sort k, b, -0.3 in increasing order.\nAnswer: -0.3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-102)\/4760)\/((-6)\/(-300)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 44*r - 5*r + 15*r**3 + 47*r.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 0.077, 5, -0.03, 51\/25?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/3 - d**3.\nAnswer: -d**3*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 255.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4 and -95\/21284?\nAnswer: 21284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -44 + (1 - -8) + 54\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 + 6*y**2 - 8*y + 7. Let s(c) = 3*c**3 - 5*c**2 + 7*c - 6. What is -5*d(r) - 6*s(r)?\nAnswer: 2*r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = 4. Suppose -3*j - 5*f = -17, -h*j + 3 = 5*f - 0. What is the remainder when 39 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 764 and 24856.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 42752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = 3*s + 215275, 0 = -4*s - 2*c - 287026. What is the tens digit of 1\/4 + (s\/28)\/(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/5, 17, -15, -4, 3, 0.222, -0.6?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 25. Suppose 55 = d*r + 4*g, -2*g + 56 = 4*r - g. Solve 4*q + r = v, 4*v + 18 = -3*q + 2*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -4*c + 3. What are the prime factors of c + 55 - (-9 - -7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**3\/2 + r**2\/2 + 3*r. Let x be c(1). Suppose -132 = -x*i + i. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 + 3*g - 20. Let a be d(-6). Let x(y) = y**3 - y**2. Let n(p) = 4*p**3 - 5*p**2. Give a*n(u) + 10*x(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32441891 and 30371132.\nAnswer: 1427443204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Suppose -f + 2*s + 0*s = 0, -s + 21 = -4*f. Is ((-44)\/f)\/(p\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -589, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51.983 and 2.\nAnswer: -103.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2566123 is divided by 5389.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -15*f**2 - 2*f + 136. Let n(a) = -15*a**2 - 3*a + 165. Give 2*n(o) - 3*p(o).\nAnswer: 15*o**2 - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388, -1698, -3914, -7042, -11088?\nAnswer: -16058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - 2*r + 3. Let h(m) = 2*m - m**5 + 5 - 5*m + 5*m**2 - 2*m + 2*m**5. Let y(s) = 3*h(s) - 5*l(s). What is the second derivative of y(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = t + 5*b - 9, -3*b + 9 = -3*t. Suppose -16*d + 14*d + 18 = t. Calculate the greatest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**2 - 38*q**2 + 3*q**3 + 62*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 1\/19, -0.1, -0.3?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5)*o)\/(o*o*o*o\/(o*(o*o**6)\/o)*o)*(o*o*o*(o*o\/(o*o**(2\/3)*o))\/o)\/o**(-2\/9) assuming o is positive.\nAnswer: o**(241\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = u + 4*x, -2*u - 3*x + 25 = 6. Suppose -2*s - u*v + 120 = 0, 4*s = s + v + 180. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 5. Let k be l(-5). Let u be ((-7)\/((-42)\/(-12)))\/(1 + k). Let y be (u\/(-36))\/(12\/(-192)). Is -3 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -498 + 654. Let k be -4*13\/(c\/(-45)). Solve -b - k = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400863490 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5120.2 and -210406146.\nAnswer: -210411266.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21*(21\/(-4) + 7)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -85.89, 3, 713, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026563 is divided by 26322.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 239 = 9*z. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4138218924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 17*v**2 + 5*v - 13. Let a(z) = -46*z**2 - 12*z + 32. Let n(s) = -5*a(s) - 12*o(s). Let t(m) = -13*m**2 + 2. Determine 3*n(g) + 5*t(g).\nAnswer: 13*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -166*l - 1453. What is t(-9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*y - 2622, -5*u + 25*y = 22*y - 4314. What is the remainder when u is divided by 63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 15*x + 134. Calculate s(-18).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27013\/2831 + -1359\/149. Factor 0 + c*g + 2\/19*g**3 + 10\/19*g**2.\nAnswer: 2*g*(g + 1)*(g + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffqqhhtfohoqqqhfh. Give prob of picking 3 h and 1 f.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/12 - (2 - 0). Let l(q) be the third derivative of 0*q + 0 - w*q**4 - q**2 + 0*q**3. Let o(n) = -4*n**2. Give l(o(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 57440*d\/9 - 440726\/3.\nAnswer: 2*(d - 23)*(d + 28743)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609309 divided by -5?\nAnswer: -1609309\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 4*i = 628452. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxl when three letters picked without replacement from {r: 1, l: 2, x: 6, g: 9}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjujufzujjzujj. What is prob of picking 1 z and 1 j?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 4*b + 2 - 2*b**2 + 6)*(-2 - 1 + 2 + (1 + 1 - 3)*(-936 + 2679 - 1344)) as j + n*b + c*b**2 and give j.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/(12*5\/225)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*j*q*y - 3*j*q - 3*j*y**2 + 383*q*y**2 wrt j.\nAnswer: 14*q*y - 3*q - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 18 - y**3 + 3\/2*y**2 - 6*y. Let x(d) = -4*d**2 + 4*d - 7. What is -6*o(a) + 5*x(a)?\nAnswer: -2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645532 and 13916?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 32. Suppose 3*x = -k - 9. Let q(i) = 2*i - 6. Determine q(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692688 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -61*s**2. Let z(m) = 36*m**2. What is z(v(d))?\nAnswer: 133956*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*p - 51593, 47*j - 43*j + 154818 = 6*p. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -8, -j = 2*o + 2*j. Let h(s) = -s**3 - 5*s**2 + 6*s. Let b be h(o). Solve b = -2*m + m + 4*f + 6, 4*f = 5*m - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1)**(-36)\/(t**(-1\/2))**(4\/15))\/((t*t*t\/(t\/(t*t**1))*t)**35\/(t**(-3\/2)\/(t\/t**(6\/11)))) assuming t is positive.\nAnswer: t**(-58351\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/7, 1\/2, 1\/20, -82\/9, 0 in ascending order.\nAnswer: -82\/9, 0, 1\/20, 0.4, 3\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 7939794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12415120\nAnswer: -1\/3103780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1925*o**3 + 32671080*o**2 - 131054640*o + 1358080 = 0.\nAnswer: -16976, 4\/385, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*s = -187*s - 2*w - 1662, 0 = 2*s - w - 41 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -56*k**2 - k. Determine x(1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 120307.\nAnswer: 1\/120307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, u: 2, d: 7, f: 2, e: 5}. Give prob of picking 1 u and 2 e.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let d(m) = 11*m**2 - 6. Let t(x) = 11*x**2 - 5. Let i(f) = -5*d(f) + 6*t(f). Calculate j(i(l)).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 101962*n**2\/9 - 815792*n\/9 - 1631648\/9.\nAnswer: 2*(n - 50989)*(n + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -35*z + 4392. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = -20. Suppose -4*p = -f - 2*p - 3, 10 = -2*f + n*p. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246558860 by 61639715.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5982312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 35*f - 238 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 + 2*g**2 + 2*g**2 - 3 - 1563*g + 1561*g = 0. What is g?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/10585 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**5\/20 + 5*j**4\/6 + 4*j**3\/3 - 9*j**2\/2 - 4*j. Let n be h(-9). Solve -4*l + 5*l - 4 = n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 25. Let x = 12 + -6. Let g be (x\/(-4))\/(5\/(-10)). Solve l = g*n + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48949420 - 357336580 = -62*v. Round v to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 255, -4 in increasing order.\nAnswer: -18, -4, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 23*b**2. Let k(f) = -8*f**2 + 1. Determine u(k(a)).\nAnswer: 1472*a**4 - 368*a**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-2*4\/280)\/(-1)). What is the common denominator of -53\/5 and 18\/(-1)*(4 - (-392)\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -443 and 0.4745.\nAnswer: -210.2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**7\/2 + 5*s**3\/2 + 27*s. What is the second derivative of c(p) wrt p?\nAnswer: -420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0353? (a) -2\/7 (b) -0.4 (c) -1 (d) -10.5 (e) -4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56247.28501 from 1.9.\nAnswer: -56245.38501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -314? (a) -1\/3 (b) -262 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*2*sqrt(156) - sqrt(156))\/(1*sqrt(84)\/sqrt(7)))*6 + -3.\nAnswer: 6*sqrt(13) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -730*m + 49. What is the units digit of z(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(1\/((-8)\/(-6))). Is q\/60 + (-372)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12581 and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 139*q**4\/4 - 3*q**3\/2 + 9*q**2 - 121*q. What is the units digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 15*(-6)\/(-9). Suppose 0 = -62*j + 68*j + 228. Let u = -13 - j. Solve q*c - 3*c = u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-4 - 5))\/(0 - -1). Does 3 divide 4 + (j\/(-1))\/(-2) + 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/((-8)\/28 - 0). Suppose 1 = 4*f + a. Let i(r) = r. Let j(x) = -3 - 6*x - 4*x**2 - 1 + 4 + 2. Calculate f*i(t) - j(t).\nAnswer: 4*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 9*p + 12. Let a be j(-2). Find the third derivative of 25*c**a + 3*c**5 - 638*c**3 + 37*c**2 + 0*c**5 + 607*c**3 wrt c.\nAnswer: 180*c**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 14. Let d be s\/2 + (7 - 13). Let y be 48\/(-28)*21\/d. Solve 3*m - y = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 384 - 396. Which is the third smallest value? (a) t (b) -2\/17 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -507.5 + 3.5. Let n = q + 503.999999032. Round n to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - 3. Let h be (w + -5 - -490)*1. Let n be (-2)\/(1\/1) - h. What is n rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*w - 4 + 4 - 169*w to i*w + l and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 386.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080661354?\nAnswer: 2, 41, 13178797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 3256?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138635*j*r**2 - 3190*j + 38*r + 2933 wrt r.\nAnswer: -277270*j*r + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 10*s - 17. Let q be n(3). Suppose q*t = -2*b + 890, -t + 257 - 42 = 2*b. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 76. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.67 and -317183479.889.\nAnswer: -317183478.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - o**3)*(-65*o - 5*o**2 + 65*o) + 2 - 2 + 2*o**5 - o**5 + 4*o**5 + 4*o**4 + 0*o**5.\nAnswer: 10*o**5 + 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 4. Give i(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6.22, -4, -10\/41?\nAnswer: -10\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3112*m**3 - 2911*m**2 + 5*m - 5. Let y(h) = 4669*h**3 + 4368*h**2 - 7*h + 7. Let t(n) = -7*k(n) - 5*y(n). Find the third derivative of t(b) wrt b.\nAnswer: -9366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20188 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412666?\nAnswer: 2, 23, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2211 + 513. Let h = u - 2723.98549. Round h to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 (base 12) in base 8?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l - 2*l - 238*l**3 + 238*l**3 + 9*l**4 wrt l?\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 4*c**2 - 9*c + 9. Let p be m(5). Let r = p - 314. What is the second smallest value in -0.3, r, 0.06?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 2:24 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -36, 70, -10 in decreasing order.\nAnswer: 70, 0, -5, -10, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1782 + 1784. Let v = -5 + 3. Let i be (-3)\/(v - (-1)\/2). Solve c*o + 0 = -i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/147 and 3\/(-2)*43\/(-378)*8.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 7 + 7 + 7*u + (3*u - 2*u - 3*u)*(-2*u**4 - 3 + 3).\nAnswer: 2*u**5 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p - 6149568 + 6153439 = 0 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6253473 and 0.7.\nAnswer: -6253472.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 36 = -v. Let z = 24 - v. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3847294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*q = -21, -3*y - 2*y + 3*q = -6. Let b be 6\/(2\/(y\/(-3))) + 14. Solve 4 = n + 2*v, 5*v = 4*n + 12 + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -123 + -19?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {y: 5, o: 14}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l - 4*n + 48, -3*n - 30 = -4*l. Calculate the highest common factor of l and 43716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = -32. Let c = -12 - h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437284389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 + 29*b**3 + 428 - 649.\nAnswer: 29*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*128\/4704 + (-92)\/3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 2. Suppose 3*h + 2 = -4. Suppose 3*o - 2*o - 9 = 0. Let w(k) = -3*k + 9. Let t(s) = h*w(s) + o*b(s). Let j(l) = -2*l. What is j(t(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 at most as big as -5\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -3\/2, 2, 0.585, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -24. Let p = k + 21.6. Round p to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 15) to base 2\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -68\/9*i + 578\/3*i**2 + 83521\/9*i**4 - 19652\/9*i**3 + 1\/9 = 0. Calculate i.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -4\/7, -1.35, -4, 1\/13, -1 in decreasing order.\nAnswer: 3\/7, 1\/13, -4\/7, -1, -1.35, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -818561?\nAnswer: -10\/818561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(78)*1 + sqrt(78) + (sqrt(78) + (sqrt(78) - (sqrt(78)*1 - sqrt(78))))*-1)\/(-5*2*sqrt(216)).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.0547?\nAnswer: 0.2188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 1985*z**2 - 1970*z - 3960.\nAnswer: -5*(z - 396)*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1966 - 1221. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19813217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(975))\/sqrt(3) - ((-3 + sqrt(117) + sqrt(13))**2 - (sqrt(13) + 1 + 4))).\nAnswer: -213 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a week in hours?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**2 + 3972*j + 7960 = 0.\nAnswer: -2, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -246498 divided by -11738\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -20*h + 30538. Let i(a) = -3*a**2. Calculate o(i(r)).\nAnswer: 60*r**2 + 30538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 160? (a) 60 (b) -0.5 (c) 407\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 95, 142, 203, 284, 391, 530, 707?\n\"Answer: t**3 + t**2 + 37*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61716 and 336?\nAnswer: 1728048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -36, -56, -76?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 42041?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 minus 177.551?\nAnswer: -225.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.908 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -190 and 6923.\nAnswer: -1315370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/4 + 2*j**2 + 4. Suppose 4*z - 17 = 3*d, 6 = -4*z - 5*d - 1. Let q(g) = -2*g - z*g + 2*g. Give q(u(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g - 74*c = -77*c + 80, 2*g + c + 4*c = 236 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3205, -3202, -3203, -3208, -3217?\n\"Answer: -2*q**2 + 9*q - 3212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 12140642?\nAnswer: -28\/6070321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184575396?\nAnswer: 2, 3, 15381283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)\/c)**(-2\/71)*((c*c\/(c*c**(2\/3))*c*c*c)\/c)**(-9))\/((c**(-1))**42*(c*(c\/c**(-1\/2))\/c)\/c**(1\/5)) assuming c is positive.\nAnswer: c**(42041\/2130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24659720 is divided by 440352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37476 is divided by 12492.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**2 + 3*i + 8. Let z be j(1). Which is smaller: 8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109087 = 180*q - 17993. What is the smallest common multiple of q and ((-22)\/33)\/((-2)\/48)?\nAnswer: 5648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-4) + (-44289)\/(-28). What is j rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*n**5 - 265*n**2 - 977*n?\nAnswer: -920*n**3 - 530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sspp when four letters picked without replacement from {s: 7, p: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000579138 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 37, -5, 148, 0.08, 12?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 11 - 8 = 5*l - 6*l, 0 = -5*l + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8910\/(-54))\/55 + (-26 - (0 - 0)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 5)*(8*y**3 - 15 + 19 - 10).\nAnswer: 16*y**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 = -28. Suppose -5*j - c = 2*s, 0 = -s - 4*s + 5*j + 5. Is s + 705 - (1 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + 14 + (-13 - (14 + -13)) + 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 30 = a. Suppose w + 5*y = -2*w - 19, -w - a*y = 23. What is the highest common divisor of w and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 0 - -4) + 2435003. What is f rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7856 divided by -1964.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q + 3*d, -d - 7 - 2 = -2*q. Let v be q\/7*70\/24. Let u be (2 - 22\/12)*4. Which is the third biggest value? (a) u (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j - 6. Let r be 9\/((-36)\/(-32))*(1 + 0). Give l(r).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 57 - ((3 - 23) + 37 + -1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7149 - 8597 + 5707)*(3*y**2 - 2*y**2 + 0*y**2).\nAnswer: 4259*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -y - 4, -5*y - 3*l + 18 - 3 = 0. Suppose 0 = 2*v - b, -3*v = -y*v - 4*b - 22. Let d be (-51)\/(-12) + v\/8. Is 4 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2. Let i(b) = -7*b. Let r(n) = -n**2 - 6*n. Let a(v) = -6*i(v) + 7*r(v). Calculate a(t(h)).\nAnswer: -63*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -4\/5, 247, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/6643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/132)\/(36\/396))\/((-15)\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1 - 8) + 15\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-35)*4 + (-189963)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*a + 1944 = 0, g - 5*a + a = 982. Let m = g + -622. Let r = m + -205. What is the highest common factor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.033? (a) -2\/7 (b) -0.5 (c) 0.4 (d) 2670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884000 is divided by 157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 86*i + 17294 - 17294)*(40 - 8 + 21)*(-4 + 2*i**2 + 4).\nAnswer: -212*i**4 + 9116*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 1. Suppose 5*u - 34 = -867*z + 868*z, -2*u - 2*z - 8 = 0. What is the nearest to -2 in u, s, 0.1, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l - 405. What is the lowest common multiple of 15 and v(32)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.651 - 0.059. Let y = -13.41 - r. Let b = 12.7000163 + y. What is b rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 173, 185, 201, 221, 245?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106812\/12771)\/((-2)\/11).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, w: 3, x: 3, s: 1, m: 3}. Give prob of sequence mh.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r**4 + 7*r**4 - 44*r**3 + 15 + 3*r**4 - 13 - r in the form h*r**3 + m*r**2 + t*r**4 + k + j*r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (58 + 2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138619.\nAnswer: 179, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175 + -3014?\nAnswer: -2728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bebu when four letters picked without replacement from beeuuuuygyeeeb?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*r + 16 = 0, -3*r + 33 = 5*a + 64 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35202063 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.9, -2\/9, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334610 (base 9) to base 14.\nAnswer: 52d8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -55, -65, -89, -133, -203, -305?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 20 - 20)*(2*h - 5*h + 2*h) + (-h + 4 - 4)*(h + 2*h - 5*h) to v*h + i*h**2 + y and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -11*y**5\/20 + y**4\/12 + 1627*y**3\/6 - 81*y**2 - 5. Differentiate s(r) wrt r.\nAnswer: -66*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/121*-7)\/(9\/(-99))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + ((sqrt(70)*-1 + sqrt(70) + sqrt(70) - sqrt(70))*1)\/(sqrt(60)\/(sqrt(24)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -307*x**2 + 5*x + 3375*x**2 - 5*x + 2352*x**2 - 6002*x**3 wrt x?\nAnswer: -36012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1659*g. Let m(j) = -j**2 - 32*j. Calculate m(l(x)).\nAnswer: -2752281*x**2 + 53088*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avhh when four letters picked without replacement from {h: 7, v: 5, a: 1}?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/144 - p**5\/120 + p**4\/8 - 2*p**2. Let v(r) be the second derivative of k(r). Is v(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -4 + 3)*1. Suppose 5*a = -k + 30, -a - w*k + 6 = 2*k. Solve -26 + a = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 7*w - 11. Calculate t(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.9 + 275.1. Let c = r - 303. What is the second smallest value in 2\/5, 0.08, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -207, -218, -235, -258, -287?\n\"Answer: -3*z**2 - 2*z - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 82*l**2 + 19*l + 1580.\nAnswer: (l - 5)*(l + 4)*(3*l - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 26. Let v be b(9). Let c(u) = 5*u - 5. Let i be c(v). Solve i = -3*z + 2*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -459*c**2 - 437*c wrt c.\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 631106309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*d**3 + 1734*d**2*x + 167*d + 9454*x wrt d?\nAnswer: -168*d + 3468*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 18*r - 9*r + r**2 - 2*r**2 - 12. Let x be a(7). Suppose f = -2*t + 1580, -x*t = t - f - 2365. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352556253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a3 + -15367?\nAnswer: -15d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-135)\/(-12))\/(2\/8). Let l = 40 - n. Let v(x) = x**3 + 5*x**2 + 5*x + 1. Determine v(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 = -281*p - 103*p - 613 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 525545.4 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36\/7 in -5, 0.2, 21, 8, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * -23657.\nAnswer: -26022.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8000*y**2 - 880002*y - 226. What is k(-110)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b9 + -5?\nAnswer: 8b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -l + 9, -2*h = -7*l + 4*l + 24. Let m(u) = 0 + l*u + 3 - 3 - u**2 - 3. Calculate m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37107041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = -15. Is (20\/m)\/5 - -55 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933893?\nAnswer: 3, 13, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 700190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ac (base 13) in base 4?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568964566.\nAnswer: 2, 3469, 82007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 19262?\nAnswer: -1\/9631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7533 and 1341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67790 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(475))**2.\nAnswer: -2395 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(832)*3 - sqrt(832) - sqrt(832)) + sqrt(832) + -3*(sqrt(832) + -1 + sqrt(832)))*3)**2.\nAnswer: -1152*sqrt(13) + 119844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by 502\nAnswer: 193\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(112))*-3*3.\nAnswer: -36*sqrt(7) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -242989 or -242988?\nAnswer: -242988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33964 and 45283716.\nAnswer: 316986012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 3. Suppose -j*b + w = -w - 18, 0 = 4*b + 4*w - 20. Calculate the lowest common multiple of (-270)\/(-40) - 3\/12*-1 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24071 is divided by 2135.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i - 4*q = -4, -2 = -2*i + 2*q. Let n be 2 + 3 + (i - -1). Suppose c = -2*h - h + n, -4*c - 2 = -3*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = -5. Suppose -5*q = -5*x + x - 8, -m*x = -q - 11. Solve 4*y - 6*u + 21 = -u, -q*u = -20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r, -4*a = 3*r - 20 - 23. Let o = 2 + 1. Is 12 a factor of o\/(-2 - 1) + a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 29*j**2 - 15707*j + 204708. What is o(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*y**3 + 151*y**3 - 86*y**3 + 2544*y**4)*((-2 + 2 + 1)*(-4 + 3 + 0) + 2 + 4 - 3).\nAnswer: 5088*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(12\/(-36))\/((-19)\/6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-200) - (30\/(-8) + 0). Suppose 5*t = u*b - 0*b + 178, 0 = -t + 5*b + 44. Calculate the highest common divisor of t and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/((m\/((m**(-6)*m)\/m*m))\/m))\/m))\/(m**(1\/9)*m))**(-21)*((m\/m**(1\/4))\/(m\/(m**(-4\/3)*m)))**(-23) assuming m is positive.\nAnswer: m**(-357\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 6*(-2*sqrt(91) + sqrt(91)))\/((sqrt(7) + (2*sqrt(7) - sqrt(7) - sqrt(7)))*-4).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5570054 is divided by 3265?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from tgirqct?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/30 - m**4\/8 - m**3\/6 + 4*m**2. Is i(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -827 + 0.2753.\nAnswer: -826.7247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -52 * -0.02367\nAnswer: 1.23084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/8)\/(-5)*2. Let f be 0 + p\/2 + 2. Sort -3, 2\/5, f in decreasing order.\nAnswer: f, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nznnnnnzzn. Give prob of picking 4 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 469776 by -39148.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 4*m**2 + 8*m + 8. Let q(f) = -f - 1. Let r(x) = -l(x) - 5*q(x). Let d be r(2). What is the units digit of (-3 - -6)\/(d\/(-48))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573.8 * 6\nAnswer: -3442.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 62 = c, -3*m = 2*c + 8 - 131. Suppose 2*d = c + 43. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 63. Let y be (2\/a*-2*0)\/(-1). Solve -p - 3 = -y*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1332 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 112. Let a(x) = -756*x**2. Determine s(a(z)).\nAnswer: 756*z**2 + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:34 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 128 in -0.01, 4, 0.1, 10, -1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppw when four letters picked without replacement from {p: 7, w: 2, d: 8, g: 1}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -24121*u - 361818. What is j(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -19 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1 + 9*t - 4 - 2*t - t**2. Let x be d(5). Suppose x*w = -3*f + 30, -2*w + w + 6 = 5*f. 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 s be (2 + 0)*45\/18. Let w = 2712 - 29830\/11. What is the second biggest value in w, -2\/21, 12, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115581\/220 + -2629\/5. What is the common denominator of 69\/20 and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-368)\/(-6) + (-20)\/(-30). Suppose 2*y - r = 48. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - q - 1. Let y(k) = 253*k**2 + 92*k + 92. Determine 460*m(p) + 5*y(p).\nAnswer: 805*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -431, -647?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + -1782?\nAnswer: -1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l. Let i(f) be the second derivative of f**5\/6 - 5*f**3\/3 + 2*f**2 + 194*f. Let d(c) be the second derivative of i(c). What is d(z(j))?\nAnswer: 180*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 - 137. Suppose -19*m = -4*d - 17*m + 50, -2*m = -k*d + 24. What is the remainder when 134 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g = -392*g - 8140 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 7061697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 31*i**4 + 36 + 2*i**3 + 11*i**2 - 37 - 11*i**2 to s*i + j*i**2 + n*i**3 + u + w*i**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/60 - 131*x**4\/6 - 200*x**3\/3 - 541*x**2. What is the first derivative of y(h) wrt h?\nAnswer: -6*h**2 - 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 874*q - 4372. What is the units digit of c(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 6)*(-x - 2 + 3*x - 4*x).\nAnswer: 10*x + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 72 - 129. Let o = -45 - m. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/90 and -121\/52920.\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3)**(-27))**(-10) assuming k is positive.\nAnswer: k**810","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231528\/83 or -2790?\nAnswer: -2790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**1*q))**(11\/3)\/(q*q**(-1))**(-34))**(-4\/17))**(2\/27) assuming q is positive.\nAnswer: q**(88\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from uvvuuavauvuuuvvvuvv?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/(-24)*4*(-3)\/4. Which is the closest to v? (a) 3 (b) 1 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602363435 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 2*i**2 - 54*i + 165. List the prime factors of r(9).\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.18 + -0.18. Let s = -14 + 14.09. Let h = -0.59 + s. Which is the closest to 1? (a) w (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = -93. Let t = i + 21. Let l be (2\/4)\/((-2)\/(-12)). Solve l*q + t = -p + 2*q, 0 = -p - 3*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*t**4\/4 - 195*t**3\/4 + 129*t**2\/2 + 96*t - 24 = 0. Calculate t.\nAnswer: -1, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-5 + 2)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127917121 to the power of 1\/2, to the nearest integer?\nAnswer: 11310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (22\/165)\/((-1)\/(-25))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4 - 3) + -4 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-468)*-52 + 1*(-43)\/(-6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = 6*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*p + 12 = p, -16 = -4*s - 3*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13696 and 2560?\nAnswer: 273920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.23, 1, 7, -14\/5, 3.\nAnswer: -14\/5, -1, -0.23, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 - 1732*f + 374978 = 0 for f.\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -11?\nAnswer: 53\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjgj when four letters picked without replacement from {j: 3, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17654*q**2 - 17401*q**2 + 0*q - 3*q + 3*q.\nAnswer: 253*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11 + 2 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 200139*c - 1232. Is v(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*r - 1688251 = -186075 + 862561. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let f be (-1)\/x - (-2 - 3). List the prime factors of f\/((-2)\/3*-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1329, 71, -18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2985 divided by 1108.\nAnswer: -2985\/1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -473067829 minus 166?\nAnswer: -473067995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.7 - 15.6. Let u = 19 + z. Which is the biggest value? (a) u (b) 0 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - z - 1 = -10, -6 = -2*t + z. Suppose -8 = -4*i, q + i = 5 + 2. Solve -2*u + q = -t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + (112 - 130) + -61.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39538?\nAnswer: 2, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32301 (base 4) to base 12\nAnswer: -669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + s + 324540 = 0, 3*s - 5*s = -5*l + 540901. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -29*u**2 + 2942*u - 20423. What is m(7)?\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -37*k**2 - 58*k + 16. Find the first derivative of m(d) wrt d.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqccqqqbcbcaqq. Give prob of picking 2 q, 1 a, and 1 c.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 23*f**3 - 2*f**2 - f + 1. Suppose -4*m - 44 + 32 = 0. Let s(l) = -l**2 - l. Let h(c) = m*s(c) + n(c). Calculate h(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64425788, -64425796, -64425804, -64425812, -64425820, -64425828?\n\"Answer: -8*r - 64425780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17165 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 2*q. What is w(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 8, i: 4}. What is prob of picking 4 i?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Let a = g + -10. Which is smaller: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2102, 5, -3751 in decreasing order.\nAnswer: 5, 4, -2102, -3751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194634365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22927494 divided by -206554?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30b4cc (base 14) to base 6.\nAnswer: 55125552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 54. Let j(i) = i**3 + 6*i**2 - 18*i. Let g be j(k). Suppose -12*s = -g*s + 160. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 12*z - 144. What is the closest to z in 5, 4, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -5 (b) 0.1 (c) 10 (d) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466725 is divided by 48.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(3\/2)*y*y)*y\/y**(1\/2))**43 assuming y is positive.\nAnswer: y**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 7 (c) -3\/7 (d) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 1184 + 1088 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 309980 divided by 44\nAnswer: 7045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h - 1. Suppose -14*o - 40 = -10*o. Let r(b) = 2*b**2 + 2*b - 2. What is o*m(u) + 6*r(u)?\nAnswer: 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/147 + (-25427)\/(-2303)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 48. Suppose q = -w + 13 + 85. Let h be 6\/(-36) - w\/(-12). Solve h = -0*n + 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + -1)) + -4)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789702132.\nAnswer: 2, 17, 151, 174299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 5*w**2 + 3*w + 1. Let k be u(-3). Let r = -16 + k. List the prime factors of 38\/6 + (-4)\/r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1104 - 987. Suppose 0 = 2*d + 3 - 11. Let n be (d\/(-12))\/((5\/w)\/(-5)). Calculate the highest common factor of 312 and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(2\/5)\/u)\/u)**(1\/39)\/(u**(-5)\/(u**(-4\/3)*u)))\/((u\/(u\/u**(-2\/7))*u)\/(u**(1\/10)\/u)*(u\/(u\/u**(-2\/3)*u))\/((u*u**(-2))\/u)) assuming u is positive.\nAnswer: u**(7451\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12 + b**2 + 16 + 7*b + 15 - 32 - b. Calculate h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.46 and -17.54.\nAnswer: -15.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 213?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - -3*sqrt(48))**2*3.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 66. Let i(y) = -y + 4. Let g be i(3). Let s = g + q. Solve 0 = -4*w + 2*w + 3*f - 4, f = -s*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284415 - 0.76574?\nAnswer: 2284414.23426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 7*q**2 + 4*q + 30. Let r be w(-7). Let y(k) = -k**3 + 8*k - 7. Let l be y(r). Let t = 0 + 2. What is the highest common factor of t and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1.7. Let w be (-3 + 5 - 2) + 3 + -3. Sort a, 2\/15, w in descending order.\nAnswer: 2\/15, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z - z**2 + 10*z - 81 + 91 + 0*z**2. List the prime factors of f(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 29*q**2 + 8*q - 1. Let r(z) = 30*z**2 + 6*z - 1. Calculate 4*r(s) - 3*x(s).\nAnswer: 33*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 10) to base 8.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1294 and 421\/30 - (-26)\/(-130) - 4\/3.\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15*((-188790)\/28)\/93?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = l - 4*l. Let m = 5 - l. Let n(z) = 2*z**2 + 4*z - 2. What is the remainder when 25 is divided by n(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*l**2)*(-25*l + 1 + 10*l + 28*l).\nAnswer: -26*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2441 + -2441.5. Let o = -1 + 0.9. What is the nearest to o in c, -3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -760 - -2?\nAnswer: -75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = y. Let l(c) = 10*c**3 - 2*c**2 - 4*c + 9. Let g(w) = w**3 + w - 1. Let a(b) = y*l(b) + 5*g(b). Is 5 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/13)\/w*w*w)\/(w*w*w**(-6\/13)))\/(w**8)**(-2\/3) assuming w is positive.\nAnswer: w**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 41. Suppose 0 = 3*h + 2*k - 2, 2*k - 4*k - 14 = -h. Solve -o*z - z = h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356300 rounded to the nearest 1000?\nAnswer: 356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**8\/5040 - p**7\/420 - p**6\/90 - p**5\/45 + 7*p**3\/6 - 6*p. Let m(i) be the second derivative of a(i). Solve m(l) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 18*k**2 - 20*k - 38. Let x be h(-21). Let s(l) = x*l**2 - 3 - 1704*l**2 + 3. Let r(c) = -38*c**2. What is r(s(d))?\nAnswer: -38*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 8:59 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i + 2*o + 460, -3*i - 2*o = 690. Let y be 4\/((-8)\/i) - 3. Suppose 3*k - y = -k. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057465225 to 7 decimal places.\nAnswer: -0.0005747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 1, s: 1}. Give prob of sequence czs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 9 + 8)*(677*o - 526*o - 366*o)*(2 + 1 - 1) to w + x*o and give x.\nAnswer: -5590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**6 - 548973*u**4 - 5056702*u**2 wrt u.\nAnswer: -360*u**3 - 13175352*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 20 = -11*n + 3*y, -27*n + 24*n = -y + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 120*k**3 - 4*k**2 - 4*k - 8. Let x(r) = 121*r**3 - 3*r**2 - 3*r - 6. Give -3*i(g) + 4*x(g).\nAnswer: 124*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 60 = 9*g. Suppose -o + 0 = -4, -4*o = -4*l - g. Which is smaller: -3\/47 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48202.\nAnswer: 2, 7, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 51*m - 7218. What is k(113)?\nAnswer: -1455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -45. Calculate the smallest common multiple of 50 and m.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2. Suppose -3*i - 42 = -9*i. Let y(k) = i*k + 7*k - k - 5*k. Give d(y(c)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 57*k - 308. Give s(15).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13497, -47.9, -3\/2?\nAnswer: 13497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5748 is divided by 351.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**5 - g**5 + g**5 + (-5*g**3 + 2*g**3 + g**3)*(27*g - 8*g**2 - 27*g))*(-1 + 1 - 2).\nAnswer: -34*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 396*g**2 + 23*g - 80*g + 57 + 22*g + 16*g + 21*g wrt g?\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 14*l. Suppose -4*z = 4*t - 12, -6*z + t = -z - 9. Let i be 2\/((10\/z)\/10). Does 28 divide q(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 - 5*l - 39)*(-575*l - 260*l + 141*l) in the form i*l + x*l**2 + g and give x.\nAnswer: 3470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 1133422340?\nAnswer: -1133422401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t = -2*t + 11*t - 64. Let l(v) be the second derivative of v**5\/20 + v**4\/12 + v**3\/3 + v. Calculate l(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 3*z**2\/2 - 7*z + 10. Let s be k(-14). Which is greater: -50 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2205972 - 2205975.0000035. Let b = -3 - f. 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: Suppose 4*w = 5*m + 10 - 675, -3*m = -2*w - 331. Let c = 313 + w. Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -4*a. Suppose a*v - 63 = -3*v. Calculate the greatest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**6\/3 - 4*a**5\/5 + 429*a**4\/4 + 2*a**3\/3 - 3559*a + 3084. Find the third derivative of f(b) wrt b.\nAnswer: 120*b**2 - 96*b + 2574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/399, -1\/3, 6\/11, -2872?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15547*u - 23650 = 16020*u for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 10*j**2 + j + 36. Let h be s(-4). Which is greater: 1\/7753 or h?\nAnswer: 1\/7753","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 159480479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673308325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -2\/5, 0.5, 4\/53141?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21+-2216.9\nAnswer: -2195.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -31 + 90 + 8 + -9 + -5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2977.231um in kilometers?\nAnswer: 0.000002977231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((-2 + sqrt(75)*-2 + -4*(1 + sqrt(75) + sqrt(75) - sqrt(75)) + sqrt(75))**2 + sqrt(21)\/(-1*2*sqrt(7)) + 0).\nAnswer: -1915 - 599*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31.49252 millilitres?\nAnswer: 0.03149252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 245*j - 179*j + 123*j as h*j + a and give h.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -12\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {z: 1, q: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3180)\/(-1431) - 20\/720*2276\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o + 3*o**2 + 3*o + 2 - 2*o**3 + 0*o**3. Is a(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63488.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 10. Let j(q) = q**3 - 5*q**2 + 6*q - 7. What are the prime factors of j(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4743718 divided by -11486?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 5, -28, -2 in decreasing order.\nAnswer: 8, 5, -1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.763655764 to 3 decimal places.\nAnswer: 3.764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1008) + -1) - ((sqrt(1008) + sqrt(1008) + -2 + sqrt(1008))*5)**2.\nAnswer: -226901 + 3612*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - (91 - 90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2260210?\nAnswer: 2, 5, 23, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 548763, 548800, 548899, 549090, 549403, 549868, 550515?\nAnswer: 551374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 + 8*c - 7. Let k be s(7). Let h(b) = b**2 + b + 1. Let m be h(k). Find the first derivative of -m - v**3 + 3*v**2 - 3*v**2 wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32565397.\nAnswer: 32565397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 109*l**2 - 3 + 3 + 1. Is j(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*y - 8785, 2*y - 6312 = 3*c - 1041. Is -1757 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 15*u**2 + 17*u + 32. What is h(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = -n, 27*a + n = 24*a + 8. Solve -3*x + 8*x - 3 = a*u, u - 16 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 104 = -29*g + 19*g, 0 = -3*z + 60874*g - 60878*g - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 + (-101 - -170) + 18?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1563 - 3?\nAnswer: -1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 536*i**3 + 6*i**2 - 13849*i wrt i.\nAnswer: 3216*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let k(b) = 4*b**2. Let i = -11 + 7. Let y(r) = -6*r**2. Suppose -2*u = -0*u + 10. Let j(a) = i*y(a) + u*k(a). Calculate j(x(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1)*-1*6. Let i = 30 - 28. Sort i, d, 5 in descending order.\nAnswer: d, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*r - 23 = 16, 0 = -3*x + 3*r + 33. Let f be x - 13 - (-4 - 0). Solve -2 = -f*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -734 - -811. What is the highest common divisor of 66 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 542 and 9.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 115126 + 37*x**2 + 12*x + 115126.\nAnswer: 37*x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6186 at most -44842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4731?\nAnswer: 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 30*d + 20*d - 3*d**2 - 2*d**2 + d**2 - 3*d**2 + (0*d - 3*d + 5*d)*(3*d - 2*d - 3*d) - 2*d**2 - 2*d**2 + 2*d**2 - 3*d**2 - 2*d**2 + 7*d**2.\nAnswer: -11*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*c**3 - 15984*c**2 - 112628*c - 193488.\nAnswer: 4*(c + 3)*(c + 4)*(5*c - 4031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001077529882 to seven dps.\nAnswer: -0.0010775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9996216?\nAnswer: 2, 3, 37, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/127346 and 101\/58056?\nAnswer: 90160968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 740*c + 59959. Determine o(-81).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 71. Let w(t) = 8*t - 10. Let k be w(7). Let o = k + i. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424 divided by 18\nAnswer: 212\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/3, 0, 15.5, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4205 + 4205 - 156*p**5)*(2 + 1 - 2 - 2 + 2 - 1 - 1 - 1 + 0 + (3 - 2 + 0)*(3 - 4 + 0) + 3 + 1 - 3).\nAnswer: 312*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1731309 and 47\/11?\nAnswer: 19044399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112360?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1035 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 592.9 + -2.\nAnswer: 590.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-11))**23\/((o\/(o\/o**(-11\/2))*o*o)\/(o*o*o*o*o**(-3\/10))) assuming o is positive.\nAnswer: o**(1531\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*(-9)\/(-54)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 17*o**2 + 12*o**2 + 3*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -23456*p + 5. Give j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 454028841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6152804 and 0.1?\nAnswer: 6152803.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -3, 14\/5, -7.\nAnswer: -7, -3, 0.04, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdo when three letters picked without replacement from {g: 2, o: 1, d: 8, v: 7}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s + 3*n - 8, 2*s - n - 2 = 0. Suppose -3*b = 2*k - 18, 10 = k - s*b + 4*b. Solve -z = -7*x + 4*x - 2, -3*z = 3*x - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 1459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45841107.\nAnswer: 3, 13, 1175413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(325) + -2) - (0 + sqrt(325) + -1)) + (3 + -3*(5 + sqrt(325)*1))**2.\nAnswer: 360*sqrt(13) + 3068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:38 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.864 - -0.136. Let v = 0 - 0. Suppose y + 2*g + 7 = 0, -2*g = -2*y - 2 + 6. What is the nearest to y in u, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1322574 and -37\/15202?\nAnswer: 1322574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 7 = -q - 2*c, 0 = -2*c + 2. Let b be -3 - -3*(2 + q\/(-15)). Factor 2\/9*s + 2\/3*s**3 + 0 - 2\/9*s**4 - 2\/3*s**b.\nAnswer: -2*s*(s - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.1 - -17. Let p = j - -3. Let z(y) = -y**2 + y - 4. Let f be z(0). What is the second smallest value in -1, f, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 451+-76421831\nAnswer: -76421380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 16*q. Suppose -j - 2*j + 117 = q. Calculate the remainder when 115 is divided by j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2452428 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -611*-23069.\nAnswer: 14095159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 378, 2.\nAnswer: -146, 2, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -778, -760, -740, -718, -694?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1580 - 81 - 139 - 598 + 147)*(13*l**3 - 6*l**4 - 13*l**3) as r*l**2 + p*l + d*l**4 + i + h*l**3 and give d.\nAnswer: 13506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 11001011?\nAnswer: 11000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35926.86km to nanometers.\nAnswer: 35926860000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 6*x**2 + 15*x**2 - 1 - 7*x**2 as j*x + t*x**2 + o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -863179*t*y**3 + t*y**2 + 12708*t*y - 18*y**5 - 6*y**2 + 19 wrt y?\nAnswer: -5179074*t - 1080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 26455086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01914 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16197 rounded to 3 decimal places?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 - -140. Suppose 42 = -o - x*i + 14, -2*i = 0. Is 2 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 565 and 1847890.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -66, -61, -54, -45, -34?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -282+0.66000614\nAnswer: -281.33999386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7389750*l*n**3 - 25*l*n**2 + 7*l + 1754*n + 1 wrt n.\nAnswer: 44338500*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*b + 518*b + 514*b = 12, -a - 3*b + 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:26 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 7*y - 411. Let i = y - -139. Let r = 34 - 34. Solve m + i + 0 = r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqgq. What is prob of sequence qqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 887656378 to the power of 1\/2, to the nearest integer?\nAnswer: 29794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -59. Suppose 4 = m*i - 13*i. What is the third derivative of -d**i + d**6 - 20*d**3 + 20*d**3 - 4*d**6 wrt d?\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0 - 4, 0 = 3*o + 5*h + 52. List the prime factors of o\/((-6 - -2) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12875455, -25750910, -38626365, -51501820?\nAnswer: -64377275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + (-68)\/(-8))*4. Suppose -3*d - 2*p + 20 = 0, -2*d = 5*p - b + 1. Suppose -d*m = 4*a - m - 202, 4*a = -4*m + 204. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yko when three letters picked without replacement from uooyyzuuukzkzqk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(1760\/(-418)) + -4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0845659 and -10.\nAnswer: 0.845659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 1577*i**3 + 4*i - 4*i + 2*i**2 - 1557*i**3 - 9*i**2.\nAnswer: 20*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61.9 - -87.8. Let v = k + -28.9. Which is the second biggest value? (a) -13\/3 (b) v (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 {w: 2, r: 1}. Give prob of sequence rw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3599193339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -511402*l**2. Let i(r) = -11*r. Give i(m(v)).\nAnswer: 5625422*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 - s + 57 + 23*s + 45 - 12*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1838, -7345, -16522, -29369, -45886, -66073?\nAnswer: -89930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 285697956 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4748343 + 3*x**3 - 2374170 - 2374167.\nAnswer: 3*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 8. Let q be (-2930)\/(-30) - (-5)\/(-3). Suppose 5*m + 2*w - 72 = 0, m + 4*m - 4*w - q = 0. Suppose -m*f - 6 = -17*f. Give j(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*g + 69 - 399 = -18*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17375 divided by 1086?\nAnswer: -17375\/1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*r - 5 = -0*r, 4*r + 24 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-152.69.\nAnswer: 2748.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1172464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*k + 3*v, -5*k + 4*v + v = -20. Suppose 0 = k*x, 2*x = 5*i + x. Suppose i = -y + 28 - 3. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 1. Let o be a(5). Suppose 0 = 2*h - 0*h + 4*v - 60, -o*h + 144 = -4*v. What is the highest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1045 in 5, -13, 0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -796, -1588, -2380, -3172, -3964?\nAnswer: -4756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, x: 3, z: 1, j: 1}. What is prob of sequence xi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 11, -2, 3 in ascending order.\nAnswer: -4, -2, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:41 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6746395 and 740?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 67*r**2 - 12*r + 190. What is the tens digit of v(65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 8*q**2 - 6. Let t be ((-45)\/(-35))\/(-3) + 53\/(-7). Give x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142158.\nAnswer: 2, 3, 19, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 28. Determine u(11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/5*3*(-2)\/12*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**3 - z. Let h be v(1). Suppose -21 + h = -4*s. Let g = 0.8 - 0.4. Sort s, g, 0.2 in ascending order.\nAnswer: 0.2, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3639060 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 31, 1, -63, 3\/8, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 459 + 1417. Suppose -g = -2*b - n, -g + 3757 = g - 3*b. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13614.\nAnswer: 2, 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -p - 86, 0 = 5*y - 4*p + 8*p - 132. Calculate the lowest common multiple of 77 and y.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, l: 1, t: 1, v: 5, r: 3}. Give prob of sequence rrjt.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20797, -41596, -62395, -83194?\nAnswer: -103993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*u + 346 - 166 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1033071 - -721072. Let o be x\/(-2) + 2\/4. Suppose -2*m - m = o. Round m to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0 - 1\/60*p**5 + 0*p**3 + 5\/24*p**4 + 7*p**2 + 0*p. Determine m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26413, -26459, -26517, -26581, -26645?\n\"Answer: n**3 - 12*n**2 - 17*n - 26385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -25*c. Let r = 736 + -717. What is the remainder when y(-3) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 367 + -366.99999829. What is d rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-1) - (-10)\/(450\/369). Which is the closest to 0.02? (a) 2\/3 (b) j (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from tttfftftftfttttttt.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 2862.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + m**2 + 2*m + 8. Let v be q(-4). Let b be (v\/8 - -3)\/(-1). Suppose 3\/4*x**2 + 3\/8*x**5 + 0*x + 0 - 3\/8*x**b - 3\/4*x**4 = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 2*m**2 - 27*m - 74. Determine g(-6).\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Let f = 76 + -76. Let y = -1 - f. Which is the third biggest value? (a) -4 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324305 less than or equal to 324180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) 1\/3 (c) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -5, 0 = -5*r - 4*g + 3. Suppose -5*i = 2*n - 11, -r = 3*i - 6. Calculate the least common multiple of 2 and (-78)\/(-30) - n - (-47)\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 5*n, 0*j = 4*n - j - 11. Let x(q) = -6*q + 1. Let g be x(n). Calculate the common denominator of g*(-9)\/(-168)*4 and 37\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 7*d + 12. Let l be a(9). What is the units digit of (2\/5)\/(l\/(-240))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270*u - 1 - 1239*u - 1273*u + 1 + 3779*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k - 7*k - 5*k + 4*k.\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 4. Suppose 2*s - 4*s - f*y = -36, 0 = -5*y. What is the greatest common divisor of s and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3248 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -0.03589407?\nAnswer: 2.96410593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 20*s - 2. Let i(w) = 82*w - 9. Let z(p) = -4*b(p) + i(p). Let a(c) = 2*c - c - 3*c. Give a(z(r)).\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (378\/(-12) - -25)\/((-1)\/2). What is the greatest common factor of 67951 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1\/95?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9981 + -2?\nAnswer: 9979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 647909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 2870 + 2815. What is the third biggest value in -0.06, -2\/13, c, -12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 + -6 + 1 - (-51 - -11)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 245 and -17.971.\nAnswer: 227.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -3. Calculate the remainder when (k - -4)\/(3\/18) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5\/4 (c) -1 (d) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 + -13632?\nAnswer: -14033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v + 0*v**3 - 1\/336*v**8 + 0*v**6 + 4*v**2 + 0*v**4 + 0 + 1\/15*v**5 + 0*v**7. What is the third derivative of l(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*r = 4*r - 16, 20 = 5*r. Let y(g) = -4*g + 22. What are the prime factors of y(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - m + 272 = -221, -2*c = 5*m - 211. Let w = c + -80. What is the remainder when 70 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:52 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2 + 52. Suppose -3*s - 336 = -m*s. What is the highest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-2156)\/84)*1*6.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5 + (-1 - 1 + 0)*(1 - 4 + 1) - 4 + 5 - 3 + (4 + 1 + 0)*(-4 + 5 - 3))*(0 - f + 0).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 345 + -359. Which is the nearest to -0.2? (a) j (b) 1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 3*f + 3. Calculate v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 5*t - 47. Let i be x(10). What is the first derivative of 102 - k**3 - 7*k**3 - 4*k**i + k**4 wrt k?\nAnswer: 4*k**3 - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 20 = 2*n - 60 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-231) - ((-44)\/3 - -14)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -108\/11 (b) 1\/2 (c) -4 (d) 12 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 8*z + 13. Let k be n(-5). Suppose 0 = k*b - 6 - 0. Let f be (-15)\/3*-1 + 0. Sort f, b, -2 in descending order.\nAnswer: f, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(2) + (sqrt(2)*-1 - sqrt(2))) + (4*(sqrt(14)\/sqrt(2) + sqrt(7)) - sqrt(7)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*y - 1 = 7, 0 = -5*x + 3*y - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i - 1. Let k be f(1). Suppose -2*t - t + 4*z = -44, 4*t = k*z + 58. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffks when four letters picked without replacement from {s: 1, m: 4, j: 1, f: 2, k: 2}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) -1\/19 (c) -4 (d) 1\/2 (e) -133 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 965921.1 seconds in milliseconds?\nAnswer: 965921100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5790*i**4 + 3262*i**2 - 3262*i**2 + (-3*i - i + 2*i)*(-2*i**3 + 2*i**3 - 2*i**3) + i**4 - 3*i**4 + 0*i**4 + i**4 + 0*i**4 + 0*i**4.\nAnswer: 5793*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 93728 divided by -2\nAnswer: -46864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(9 - 7) - -1947 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797*n**3 + 578*n**2 - 1098*n**2 + 520*n**2.\nAnswer: 797*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 537 + -211. Suppose -3*y + 643 - 76 = 0. Suppose d = 2*z - q, -8 = z - 5*q - y. What are the prime factors of z?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 9*a**2 + 10. Let v be h(-9). Suppose v = -2*j - 2*d - 0*d, -3*j = 2*d + 13. Does j = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2. Let w(k) = -916850*k**2 + 5. What is w(v(i))?\nAnswer: -3667400*i**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47463885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 605578731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4258, 2765, -1274, -9131, -22078, -41387?\n\"Answer: -212*y**3 - y**2 - 6*y + 4477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/1 + -2 + 7 + -68. Suppose -3*o - 280 = o. Let u = w - o. What is the remainder when 30 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15191 and 50468?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = 4*h + 4*a, 5*h - 5*a = 10. Let m(w) = 162*w**2 + 1 - 37*w + 22*w + 14*w - 3. What are the prime factors of m(h)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**3\/6 + 1791*n. Let u(m) = -472*m**2. Calculate u(c(b)).\nAnswer: -472*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9923, -9941, -9961, -9983?\n\"Answer: -y**2 - 15*y - 9907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 71288806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-20)*(-435)\/522.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-9))\/(0 - 16\/(-22)). Let k = g - 5\/9. Let t be 70\/(-168) + (-4)\/(-6). Which is the nearest to -1? (a) 2\/7 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/6 - 38*q**4 + 7049*q**3\/6 - 5132*q**2 - 41522*q\/3 + 39424 = 0. Calculate q.\nAnswer: -256, -3, 2, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjzcjzjzzjcz. Give prob of picking 2 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9856*d + 473566. Determine z(48).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and 0.3.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*j - 5*y + 18, 0 = j - y + 1. Let g = j + -10. What is the units digit of 8\/g*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 218, 392.\nAnswer: -7, -5, 218, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - (-15 + 12 + 6 + -4 + -24 - -14).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9 and -43\/69.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + 18 + 63 + (-7 - -1) + 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfcdfttc. Give prob of sequence cf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {n: 3, g: 8, s: 7}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217841\/49110 + -4\/1637. Find the common denominator of ((-30)\/75)\/((117\/33)\/(-3)) and y.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 645, 3, -557 in ascending order.\nAnswer: -557, 3, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 1 - 5*a**2 + 3*a**2 - a**4 + a**2 - 3*a to the form k*a + r*a**4 + y*a**2 + z + u*a**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxqxqqx. Give prob of sequence xqx.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*i = 87*i + 591 - 99. What is the smallest value in -0.5, -1\/732, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130920339899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 9*b + 548 = m, b = -2*m + 1111. Let a = -130 + m. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3 + 11 + 2*v**2 + 2*v - 6*v - 2. Let d(i) = -i**2 + 3*i - 5. Determine 4*d(f) + 3*o(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.3774 months in decades?\nAnswer: 1.628145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**11*l)\/(l**(1\/3)\/l*l))**(-10) assuming l is positive.\nAnswer: l**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132435 or 132436?\nAnswer: 132435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (7 + -12 - 59). Solve 10*h = -22*h + q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42386503 + -7.2.\nAnswer: 42386495.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + n + 6. Let d(r) = -4*r**2 + 5*r + 31. Calculate 2*d(p) - 11*m(p).\nAnswer: 3*p**2 - p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -95*k**3 - 4*k**2 - 76. Let f(l) = 190*l**3 + 7*l**2 + 135. Determine 7*d(p) + 4*f(p).\nAnswer: 95*p**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*u - 32 = 0, -4*u - 38 = 29*z - 31*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtatjatxttatttx. Give prob of picking 1 x and 2 j.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (46\/125097)\/(3\/(-2322)). Let v = z + -2\/1813. Which is the smallest value? (a) v (b) 0.04 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = -4*k - 4, 0 = 3*m - 3*k - 12. Suppose 0 = -m*o + 39 + 45. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 99 + 11. Suppose -4*t + 6*x - 3*x + 32 = 0, -2*t + p = -3*x. Solve -2*z = -3*i + 10 - 2, -t*i + 6 = 4*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(200) + 1 + sqrt(648) + (sqrt(648) - sqrt(648)*3)))**2.\nAnswer: -400*sqrt(2) + 3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - n + 14 = 5*r, 16 = -754*r + 758*r - 4*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3885*i - 3895*i = 100 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/8)\/(2\/4). Let d(t) = 0*t + 2 + t - 7 - 4. Let h be d(8). Which is bigger: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41961, 335691, 1132955, 2685519, 5245149, 9063611, 14392671?\nAnswer: 21484095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -492, -457, -394, -291, -136, 83?\n\"Answer: 2*s**3 + 2*s**2 + 15*s - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -41. Let w(q) = -q**3 - 15*q**2 - 47*q + 59. Let b be w(-7). Put 3, c, b, 62 in increasing order.\nAnswer: b, c, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701169 is divided by 1590?\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 937882 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -2\/5 (c) 1\/2 (d) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r**2 + 172*r - 26. Calculate the remainder when k(7) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -190, -14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*c - 2, 2*c = d + 26. Let s = -427 + 392. Is d at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 + -42 + 117 - -97\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53667 is divided by 546.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - k + 163 - 1370, a - 2*k - 300 = 0. Suppose -201 = a*x - 303*x. List the prime factors of x.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 191*u**2 - 92*u**2 - 94*u**2 + 6*u + u**3 to j*u**2 + a*u + z + t*u**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, e: 1, v: 4, o: 2}. Give prob of sequence meev.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2))\/(z*z**(-3)))\/(z**(2\/7)\/(z**(-2\/3)*z)))\/((z\/z**5*z**0)\/(z**(1\/3)*(z*z**(-2\/7))\/z)) assuming z is positive.\nAnswer: z**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1772539*r + 18062. Let b(s) = -785*s - 8. Give -9031*b(a) - 4*y(a).\nAnswer: -821*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*t + 9804 = -5422 + 3822 - 1946 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -218c92 (base 13) in base 11?\nAnswer: -4a0213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4500652*c**2*p**3 - 66910925*c*p**3 wrt c?\nAnswer: 9001304*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145107961617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = -3*j, 0*m + 4 = -3*j + 4*m. Suppose -5*l = 4*q - j*l - 983, 5*q - 1238 = 3*l. List the prime factors of q.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1413131320 (base 5) to base 2\nAnswer: -1101111010000110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -99\/26083?\nAnswer: -99\/26083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13532031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q + 13*q + 17*q)*(0*q**4 + q**2 + 10*q**4 + 7*q**4 - 4*q**4 + 0*q**2 + 0*q**2 + (-2*q + 2*q**3 + 2*q)*(1 - 2*q - 1)).\nAnswer: 333*q**5 + 37*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8246 and 46438?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*t + 102. Suppose b = 2*o - 4*b - 40, 2*o - t = b. Let c be o\/5*1\/(-15). What is the third biggest value in 0.3, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -471603515 rounded to the nearest one million?\nAnswer: -472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q + 40*q + 64*q - 2862 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*r - 231260, 4*v - 64038 - 121005 = r. Does 167 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*y + 4*n - 121, -4*y + 94 = -2*n. Calculate the least common multiple of y and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1122611 at least 1122610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - 4)*(6 + -2) + 438?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3945*p + 68850. What is a(17)?\nAnswer: 1785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -372 - 15*v**3 + 2*v**2 + 3*v**3 + 394 to i*v**2 + d + o*v**3 + f*v and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (1 - (15 - 0 - 6))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = -2*q. Let i = 2 - q. Let b = 3 - i. Solve -b*k - 22 + 1 = -3*p, 5*k = 3*p - 31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/81 and -1\/66.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_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 value of 680\/12*(0 + 24\/40)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 68 = -8*i, -152*g + 2*i = -150*g - 40 - 34 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*j + 11 = -2, 0*i - i - 3*j - 31 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -13 - 1\/3*g**3 + 0*g**2 + 7*g + 1\/4*g**4. Let j be 2 - 4 - (-5)\/(10\/4). Give d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 1057 = 1045 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18)*(-252)\/420.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:54 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11470229 is divided by 712?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + -6*(((0 + sqrt(162))*-2 - (-3*sqrt(162) + sqrt(162))*1) + 4))*3)**2.\nAnswer: -11907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose 2 = a*l + 12. Let v(k) = 2*k**2 - 1. Let g(u) = -2*u**2 + 1. What is l*v(o) - 6*g(o)?\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 503 + -489. Solve 2*m + f = 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 5:17 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*a - 1053 = -1034, 5*r - 5 = 3*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 2, g: 1, v: 4, p: 1}. Give prob of sequence xv.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gaggaggzzgggaazzgggg. What is prob of sequence aaag?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 1. Let z(g) = -2*g - 12. Let a(h) = -t(h) + z(h). Let d be a(-11). Let q be 0 + -1 + (-2)\/d. Solve q = 3*k - 3 - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*l + 7550 = 390 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**4\/24 + d**3\/6 - 2300*d**2. Let c(g) = -9*g + 2. Give 2*c(w) - 6*s(w).\nAnswer: -12*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, 2, -2.4095, -4, 5, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7232.804 to the nearest one hundred.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2148 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/21 and -5\/20319.\nAnswer: 142233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1080 by -4.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*i = 6, 3*i - 10 = 6*j - j. Let v = -744 - -764. Sort j, v, -4.\nAnswer: -4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -8, 13.\nAnswer: -8, -5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 3 - (2 - 27)) + -9 + 26 + -20\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1704 - 1107. Let z = n - 412. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3573 - -3590.89. Let a = -18 + y. Let f = 0.10999935 + a. Round f to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -506.\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 3 (b) 2\/17 (c) 2 (d) -22.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1513 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-18)*11\/((-77)\/(-21))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*q**4 + 29*q**3 + 14*q**4 + 1407 - 45*q**4 + 5*q**3 + 6*q**3 wrt q.\nAnswer: 36*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63.7 - -63.6999797. What is w rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 736 divided by -41\nAnswer: -736\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1875*i + 488. What are the prime factors of t(8)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7020 and 2.\nAnswer: -14040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25339 divided by -508\nAnswer: -25339\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*w = 0, 16*m + 1 = 11*m + 4*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*g - g + 23, 3*x = g + 13. Let w be 14\/(-21) - x\/45. What is the second biggest value in w, 1, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 177*-1*(65\/15 - 5). Let x = -53 + i. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:10 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 9*i - 23. Let z be v(8). Let r(b) = -b**2. Let t(n) be the first derivative of 6*n**3 + 206. Calculate z*r(f) - t(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(5*o + 0*o + o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - h - 13, 4*h = -16 + 4. Let m(j) = 14*j - 123. Let i be m(9). Solve -y*b = -i*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9089550 divided by 60597\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(sqrt(12)\/sqrt(4) + 3) + (sqrt(1080) + -2*sqrt(1080) + sqrt(1080) + sqrt(1080))\/sqrt(10)))**2.\nAnswer: -1200*sqrt(3) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*t - 200 = 0, 3*b + 4*t - 300 = -0*t. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 9055*d + 9054.\nAnswer: (d + 1)*(d + 9054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10339 is divided by 885.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 256250.\nAnswer: 768750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*(-54)\/3240)\/((4\/(-2))\/234).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1024558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:41 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -724*j**3*p**3 - j**3*p + 2*j**2*p**3 + 7*j*p**3 - 18*p**3 wrt j?\nAnswer: -4344*j*p**3 - 6*j*p + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 + 3014*d**2 + 6022*d + 3010 = 0. What is d?\nAnswer: -1505, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 995 + -1241.5. Let u = 247 + l. Which is the nearest to 0? (a) 0.061 (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4*-13*3\/204 and -13\/5?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*d**4\/5 - 6831648*d**3\/5 - 13663224*d**2\/5 - 1821760*d - 2024176\/5 = 0. Calculate d.\nAnswer: -253022, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59012 - 429078604.\nAnswer: -429137616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*y - 71*y - 27 = 3*w, 4*w + 1 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3 + 1034042*v**2 + 47570074*v + 46536030 = 0.\nAnswer: -45, -1, 517067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7850 + -5418. Is a a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 13*c**2 + 10*c + 16. Is 14 a factor of r(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 + -161 + (28 - 1) - -23\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*s**3\/15 - 1066*s**2\/15 - 836*s\/15 + 16\/15 = 0.\nAnswer: -4, -1, 2\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/693 and -97\/2325.\nAnswer: 537075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28005622 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 7*g**2 + 2*g + 8*g**2 + 1. Let b be a(-1). What is the lowest common multiple of 8 and ((-16)\/6)\/(b\/(-6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -136*p - 11. Let c be (1 + (-3)\/6)*0. Suppose -x - 4 = c, 2*x - 17 = 5*l - 0*x. Is s(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 16 - 1 = 0. Let q(f) = -f**3 - 3*f**2 - 4*f - 6. What is the remainder when 10 is divided by q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10101000111110111011100101?\nAnswer: 10101000111110111011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 3)\/((-2)\/(-22)). Let s = i - -4. What is the units digit of 40\/s + 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/7, 1\/4, 2324, -9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0\/347)\/(11*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78990*b + 78973*b - 850 = 0 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -18\/11, 4, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-7 - (1 + (-1 - 3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 - y + 51. Let h be k(0). Suppose -h = -5*g - w + 142, 2*g + w - 79 = 0. Suppose 34*m = g*m - 9164. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/92620 and 47\/42100?\nAnswer: 463100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -39872 minus -40087358.28?\nAnswer: 40047486.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116866489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11076579.552 - 892290.932. Let q = 10183654.619697 - d. Let h = -634 - q. Round h to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/10*5\/2. Suppose -7 = 3*c - 2*c. Let i be (1 - 4)*(-6 - c). Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3694 + -3694.1. Which is the closest to 16? (a) s (b) -4\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82647 - 2a?\nAnswer: -82675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - 6 - -16) + 15 - -15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose -50 + 2 = -4*b. What is the remainder when 2 - 66\/(h\/(-1)) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5480*k + 20494 = -615186 for k.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 404, 810, 1216, 1622?\n\"Answer: 406*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24020.6 (b) 4\/7 (c) -3\/2 (d) 3 (e) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 29. Suppose -16 + 93 = l*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -65400, -55.\nAnswer: -65400, -55, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(75))*-4)**2 - (0 + 1*sqrt(75) + sqrt(75)).\nAnswer: 310*sqrt(3) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - m**2 + m + 1. Let p(f) = -2*f**2 + 2*f + 5. Let r(x) = -x**3 + x**2 - x. Let g(h) = p(h) - 3*r(h). Determine -g(v) + 5*i(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6969*n**5 + 2191*n wrt n.\nAnswer: 139380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + -4402 + 4518\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 903 + -873. Let n be 12 + -1 + o\/(-8 - 2). What is the highest common factor of 56 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1004*m**2 - 5*m - 4*m - 755*m**2 + 18*m - 9*m)*(0*m - m + 0*m) to the form r*m**3 + q*m**2 + b + y*m and give r.\nAnswer: 1759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*n - 17, 3*s + 2*s + 35 = 5*n. Let v be 3\/(-12)*2*s. Let m be (-6)\/(1\/(-8)*v). What is the highest common divisor of m and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10 - y + 1 - 4. Suppose -1 + 4 = 3*r - 3*o, 0 = -3*r + 2*o + 5. Let s be t(r). Solve 18 = s*n - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = -w + 2266, 5*y - 8989 = -4*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 5*k**2 + 2*k. Let m be x(-4). Calculate the common denominator of m*3*21\/18 and (20\/14 - -1)*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*f = -4*l - 28, 0 = 4*l + 3*f. Let v be (-10)\/l*6\/4. Let u(b) = b**2 - 5*b - 2. What is u(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 193984920 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 36, 60, 86, 114?\n\"Answer: u**2 + 19*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -32*h**6\/15 + h**3\/6 - 83*h**2 - 254*h. Differentiate g(p) wrt p.\nAnswer: -256*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 126*b + 123. Let q be o(-1). Let k(z) = -z**3 - z**2 - z + 7. Give k(q).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -2*a**6\/9 - 28*a**5\/5 - 17*a**4\/3 + 244*a**3\/9 + 12*a**2 - 160*a\/3 + 3120. Determine l so that s(l) = 0.\nAnswer: -20, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13097, -26192, -39287, -52382?\n\"Answer: -13095*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -9bb09?\nAnswer: 9bb04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4989*w**2 - 1904. Let g(x) = -1663*x**2 - 629. Let z(b) = -2*d(b) + 7*g(b). What is the derivative of z(i) wrt i?\nAnswer: -3326*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 121*s - 1441. Let n be v(12). Solve 8 = -n*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*t = 7802 + 360 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 6 - 40*m**2 - m - 7 + 14 to v*m**2 + r*m + k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -83*j**2 + 10600*j + 24705. Determine c(130).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (15 + -14)*(1 + 3) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -2*x**5\/15 + 5*x**3\/6 - 7*x**2 + x - 26. Let g(b) be the second derivative of d(b). Let h(o) = -9*o. What is h(g(n))?\nAnswer: 144*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*g = 7*g + 712, 0 = -2*g + 8. Let f be -36*(-4 - r\/8). Suppose -4*s - 130 + f = 0. Does 43 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 2. Let y(j) = -j - 3. Give 5*l(g) + 6*y(g).\nAnswer: -g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + (-14)\/4. Let y be r\/(-3) + 2\/3. Find v, given that 0*v**2 - 4*v**y + 3*v**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210, -0.2, 0.2.\nAnswer: -210, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/13)\/(y*y**26) assuming y is positive.\nAnswer: y**(-350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-22098)\/1160 + -1 + 84\/80\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a. Let b(n) be the third derivative of -4*n**5\/15 - 115*n**2. Let c(l) = 2*l**2. Let z(y) = 3*b(y) + 21*c(y). Determine z(u(g)).\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 + 3 = 0. Let y be (n\/(-3))\/(8\/(-72)). What is the units digit of -80*(-3)\/(y\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -65416.\nAnswer: -65420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2702 = 8*w + 4398. Sort -2, 16, w.\nAnswer: w, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*-1*(4*(-5 + (sqrt(931) + -1)*3))**2.\nAnswer: -270178 + 10752*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46575*u*w + 539*u - 211211*w - 71 wrt u?\nAnswer: -46575*w + 539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**17)\/s)\/s)**(10\/9) assuming s is positive.\nAnswer: s**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in 3\/2, 743\/14, 3, -2, -0.4, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 7) to base 13.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027308735 rounded to 5 dps?\nAnswer: -0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.67 and -0.54?\nAnswer: 4.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -334 (base 9) to base 13\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2448, 3, -6 in decreasing order.\nAnswer: 2448, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283*z - 778*z = -500*z - 177810 + 59174 for z.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azk when three letters picked without replacement from {q: 4, k: 1, j: 2, u: 3, z: 1, a: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -534644.471 to the nearest ten thousand.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (23681\/70)\/(-17) + (-53)\/530\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i, -2*y - 4*i + 34 = -0*i. Let f(w) = -7*w + 21. Let c be f(y). What is c rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1011323.4 to the nearest ten thousand.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*6\/35.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-40)*-1595310 + (-6 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 15*j - 8*j + 1191*j**2 + 1 + 35*j.\nAnswer: 1191*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4516324.526 to the nearest ten thousand.\nAnswer: 4520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3 - (-379)\/1. Let m be (-12)\/(-10)*(-65 - -60). What are the prime factors of (h\/m)\/((-10)\/15)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*u - 14, 2*u + 29 = 4*f - f. Suppose 0*c = c + f. Let d = c + 20. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0768644 litres in millilitres?\nAnswer: 76.8644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9855 = 22*c + 23*c. Suppose 3*t + 3*b = -b + 8, -2*t - 2*b + 6 = 0. Calculate the remainder when c is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2. Let n(p) = 3*p**2 + 39. Determine g(n(w)).\nAnswer: 9*w**4 + 234*w**2 + 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.21891 litres in millilitres?\nAnswer: 50218.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 125 = -0*a. Let g = a + 192. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.126526 hours to weeks.\nAnswer: 0.61980075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 44*t. Let z(n) = 8*n - 12. Calculate z(x(a)).\nAnswer: 352*a - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48189, -48608, -49027?\n\"Answer: -419*n - 47770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177814 and 152412?\nAnswer: 1066884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/8)\/(2\/8). Suppose 0*u + 53 = 4*r + 3*u, c*u - 60 = -5*r. Let v = 120 + -52. What is the greatest common divisor of v and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 88939760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 31851\/8?\nAnswer: 31851\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 28 = 5*j + 9, -k + 11 = 4*j. Suppose x - 98 = -5*v + 3*x, -j*x = -v + 30. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 greater than 894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1020*j - 500 wrt j?\nAnswer: 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0, -304, 26.\nAnswer: -304, 0, 26, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-256)\/(-12))\/4*3\/36*-3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - t + 7, -8 = 4*v - 2*t - 24. Suppose -3*z + 423 = c - 6*z, -3*c - v*z + 1257 = 0. What are the prime factors of c?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-345*f**2 + 676 - 676)*(-4 + 4 + 3*f).\nAnswer: -1035*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.1 from 0.4.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 12*i - 30. Let q be u(4). Let m(j) = 79*j + 57. What is the hundreds digit of m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(243) - (1*sqrt(243))**2) + 0 + (2*sqrt(243) - sqrt(243)) - ((-1 + sqrt(243))**2 + 4 - sqrt(243)*1*-2).\nAnswer: -492 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/8 - (-1)\/4. Let r be t\/15 - 26\/120. Let x = r + 53\/60. Find the common denominator of 59\/10 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 4, y: 4}. What is prob of picking 2 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, q: 1, m: 4, v: 2, e: 3}. What is prob of sequence mmeq?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-15)\/(-4)))\/(59\/(2655\/(-6))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjjszqqsjjzzwzjwq. What is prob of sequence wj?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f + 16*f = -8856. What is the highest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -13. Suppose 7*m - f - 33 = 0. Solve g - 16 = 3*q, 3*q - 24 = -g + m*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 + 1020462381.4765?\nAnswer: 1020462381.7265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2. Let i = -8 - -8. Let c(v) = 5*v + i*v - 2*v + 0*v. Give s(c(y)).\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-168)\/(-14) + -10). Solve 26*o + 3 - 3 = l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5480 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -89*w + 2. Suppose -g + 4*r + 909 = 8*r, g - 4*r = 917. Let o(i) = 40587*i - 913. Let b(y) = g*p(y) + 2*o(y). Let h(n) = -2*n. What is b(h(z))?\nAnswer: 166*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-38)*((-6)\/2)\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 9*p - 20. What is l(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 16*r**2 - 18*r + 53. Let o be i(15). Solve -11*d + o*d + 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 498971987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babababbapaaaaaaabp. Give prob of picking 2 p.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88264 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78 * 7.9.\nAnswer: 616.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 19*p**2 + 2*p - 3. Let n = -4 + 5. What is the lowest common multiple of 2\/1 + 1 - -1 and s(n)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 - o - 1. Suppose -3*m = 2 + 1. Let f be b(m). Suppose f*u + 2*a + 3 = 12, -12 = 4*a. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5018, -20068, -45152, -80270, -125422?\n\"Answer: -5017*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5 = -k + 3*n, 5*k - 26 = 2*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and (-9)\/(-15) - 1854\/(-10)?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 448399, 448394, 448381, 448360, 448331?\n\"Answer: -4*s**2 + 7*s + 448396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52.0399553571 - -186231.6600481429. Let l = 186283.2 - g. Let j = l - -0.5. What is j rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -599*0.1\nAnswer: -59.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9*f - 4*f = -32140, -3*f - 10712 = -u. Suppose 0 = d + a - u, 4*d - 25924 = -a + 16930. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(4\/2)\/(-28)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -1) + -1 + 2. Suppose n = -5*b - 23, -p*n + 2*b = 2*n - 20. Suppose 0 = 3*s + 3*t - 18, 3*t = -5*s + 110 - 90. Solve 3 = -n*y - s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Let i = 595.3 + -751. Let g = -156 - i. Put -0.02, g, x in decreasing order.\nAnswer: x, -0.02, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 2, -61, -140, -229, -322, -413, -496?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14624, -29240, -43852, -58460, -73064?\nAnswer: -87664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567.43 times 7.07?\nAnswer: 18151.7301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14713\/418 at least as big as 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14414510381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -960340034*d - 140549799.\nAnswer: -960340034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*n - 25*n + 10. Suppose -4*m - 3*d + 24 = 2*d, -18 = -3*m - d. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2. Let q(c) = -c**2 + c - 9. Let r(i) = 9*k(i) + 2*q(i). Let l(w) = w**3 + 5*w**2 - 5*w. Calculate -2*l(g) - 5*r(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.96 + -44. Let t = -1.0594 - -0.0884. Let p = t - s. Round p to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-2)*85\/1700.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-24)\/(-21))*(-4)\/(-2). Suppose 2*s + 3 = -5*g + 4*s, 0 = 3*g + 4*s + v. Let n be (g + (-4)\/(-4))*-1. Solve -o + 3*o = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**2 + 6*k - 4 - 1\/3*k**3. What is a(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (33 - 19) - 40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1730073*v**3 - 895613*v wrt v.\nAnswer: -10380438*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1197*w - 2 + 16194*w - 1988*w to d + p*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113137 divided by 4919.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 16*f**2. Let h(g) = 17*g. Determine h(b(x)).\nAnswer: 272*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6152?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 5*h - 15, 2*x - 29 = -5*h. Is (13\/x)\/(-13)*1982*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -22. Let x = v + -9. Let g be ((-1)\/3)\/(4\/(-12)). Which is the closest to g? (a) 2\/9 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/3 - 32*x**4\/3 + 160*x**3\/3 - 256*x**2\/3 = 0. What is x?\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860*b**2 + 878*b**2 - 1752*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -18673.301104857?\nAnswer: -18673.501104857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 16*y**2 + 47*y + 12. Let f(c) = -c**2 - 2*c - 2. What is -6*f(i) - l(i)?\nAnswer: -10*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039*t**2 + 2062*t**2 - 1019*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8431?\nAnswer: 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49387118*u**2 + 49387118*u**2 - 2*u - 37*u**3.\nAnswer: -37*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 20 - 8 - 14*d + 2*d**2 + 0*d**2 - 3*d**2. Let z be a(-14). Suppose 2*t = -4*u + 6, -5*t = 13 + z. Is 8 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 5*l**3 + 0*l**3)*(3 - l - 3) - 13*l**4 - 47*l**4 - 10*l**4.\nAnswer: -69*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 18*p + 13. What is c(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.061298+2\nAnswer: 2.061298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008085262 rounded to seven decimal places?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Solve y = k, -5*k = q - 1 + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(330))\/sqrt(10) + -1*sqrt(33)*3)\/(sqrt(297)\/(sqrt(66)\/sqrt(6) + sqrt(11) + sqrt(11))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 148*650.4\nAnswer: 96259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.1 (b) 0.3 (c) 2\/27 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(1*(1 + 6)). Suppose -8*r + 7*r = w - 1, r + 4*w = -2. Let f = 114 + -1256\/11. Sort y, r, f in ascending order.\nAnswer: y, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*(-10)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -105. Let m(i) = 4*i**2 + i + 2. What is the remainder when m(-3) is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-16))\/(3\/117946). Let o = 14616 - a. Let k = o - -128. What is the second biggest value in k, 3, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 139 and 12?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 0 - 14*r**2 + 8 to the form j*r**2 + a + y*r and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 > 20858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 24 = 28. Let p(w) = w**2 + 3*w - 4. Let z be p(-4). What is the nearest to z in y, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 115. Is 5 a factor of p(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -8. Let v = 356059.18 + -356059. What is the second smallest value in -2\/3, z, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22402189\/306 - 73210. Calculate the common denominator of t and 3\/136.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-1053)\/(-65))\/9)\/(6\/40) - 6. Suppose -4*q + 33 = -15. Solve -q + 0 = -m*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -10266622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 2960.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 22. What is the second derivative of -3*w**5 - z*w**5 + 34*w - 42*w wrt w?\nAnswer: -320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, o: 5, n: 1, i: 1, d: 1, c: 4}. Give prob of picking 2 i, 1 o, and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (231*u**2 - 44*u**2 + 147*u**2)*(-16*u - 2*u - u).\nAnswer: -6346*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 - 1637*q**3\/4 + 79275*q**2.\nAnswer: -q**2*(q - 175)*(q + 1812)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1851, -1848, -1843, -1836?\n\"Answer: u**2 - 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.35 rounded to 0 dps?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -21*z**2 - 4*z + 17. Let r(w) = -21*w**2 - 3*w + 17. Let t(q) = 6*l(q) - 7*r(q). Is t(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.52 - 0.08. Let h = -111 - -110.06. Let b = h + y. Sort b, -3\/7, -5 in ascending order.\nAnswer: -5, b, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*h + 4*g, 2*h - 3*g - 16 = -5*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - 2*r**2 + 3*r**2 - 1 + (r + r + 7*r + 1 + r - 1 + (1 + 2 - 1)*(-5*r + 6*r + 0*r) + 4*r - 5*r + 3*r - r + 0*r + 3*r)*(5*r - 6*r + 9*r).\nAnswer: 126*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37887.6 * 0.007.\nAnswer: -265.2132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 318412836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5461.94 and 0.3?\nAnswer: 1638.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 485 + -995519434.\nAnswer: -995518949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -243\/2*l**3 + 29\/240*l**6 + 0 + 0*l + 405\/16*l**4 - 99\/40*l**5 - 1\/420*l**7 + 88*l**2. Determine q, given that z(q) = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -499.3 to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3414210 (base 6) to base 7.\nAnswer: 1321164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 3835*q - 107190.\nAnswer: 5*(q - 794)*(q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + b - 3928 + 3*b**3 + b + b**4 - 3*b**4 + 3933 to the form a*b**4 + f*b**2 + s*b + o + r*b**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38372 and 424?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1560.\nAnswer: -1\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2815802 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21554 + 42292 = 9*f. Is -16 + 13 - (0 - f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, l: 1, a: 1, u: 3, k: 8}. What is prob of sequence al?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (206\/36)\/(2\/3). Let x = 323\/36 - j. What is the common denominator of x and -4 + -3 + 517\/44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-8 - (-3 + 4 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 23*b - 176. Let v be o(13). Differentiate -v + q - q + q + 18*q - 8*q**2 with respect to q.\nAnswer: -16*q + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9855, -39410, -88667, -157626, -246287, -354650, -482715?\n\"Answer: -9851*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2744664 is divided by 741?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsysy. Give prob of picking 2 s and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -1 - 7, 3*h = -4*i + 204. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(76) + (sqrt(76) - (-1*sqrt(76)*6 + sqrt(76))) + sqrt(76))\/sqrt(4))**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4444, 8889, 13334, 17779, 22224, 26669?\nAnswer: 31114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:50 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**31*z**(-4)*(z\/(z*(z**(-20)*z*z)\/z)*z)**(-44) assuming z is positive.\nAnswer: z**(-853)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 224, -16, 0.5, -42?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-126))\/((-46)\/207)*100\/2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 80.7 and 0.7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-2*-3)**2 + sqrt(343) + -1.\nAnswer: 7*sqrt(7) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z - 137. Calculate d(13).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -138447 = -138447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133) - ((2*sqrt(133) - sqrt(133)) + sqrt(133) + sqrt(133))*-3 - sqrt(133)) + sqrt(133) + sqrt(133))*-1)\/(-6*-2*sqrt(63)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 7. Let v be q(-11). Let p(t) = -t + 0*t + 4*t - 1 - 2*t. What is p(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-5)*10\/408*17?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v - 41. Let o be f(15). Solve -2*q = o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 38*f + 239. Let n be m(-14). What is the highest common divisor of n and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + 72 + 299\/26.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i. Let s be x(-5). Suppose -y + s = 4*y. Suppose 0 = y*b - 10 - 2. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s)*(-186*s**3 + 186*s**3 + 29*s**4).\nAnswer: 58*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_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: What is the closest to -1\/5 in 0.06, 8\/3, 1.23?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3)*(-3 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-2))\/((-6)\/(-4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120353.97 months in millennia?\nAnswer: 10.0294975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*-6 + -5. Sort -5, -1, -22, m in descending order.\nAnswer: -1, m, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 8*w**3\/3 - 15*w. Let y(v) = -3*v**2. Determine y(d(m)).\nAnswer: -768*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(12) + (sqrt(12) - sqrt(48))**2)*-2 + ((0 + sqrt(12) - sqrt(12)) + 5)**2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 12*m**2 - 8*m + 9. Let f be (-16)\/4 + 0\/(-2). Let d be ((-60)\/8 - -2)\/(2\/f). What is the remainder when 291 is divided by s(d)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -428 - 429 - 437 + 82*t + 1281 in the form o*t + i and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56, 133, 148, 71, -128, -479, -1012?\n\"Answer: -5*d**3 - d**2 + 115*d - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e6d - -6b?\nAnswer: -e02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 586710462 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2408 by 13.\nAnswer: -2408\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 156\/(-42) + 2\/(-7). Let f be 0\/(d\/12*-3). Let t = -17\/4 - -4. Which is the second biggest value? (a) f (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(-184*w + 170*w - 632*w - 746*w - 493*w) in the form q*w + k and give q.\nAnswer: -1885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6072 + 713 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -4.4. Let x(q) = q**3 - 4*q**2 + 2*q - 6. Let h be x(4). Let t = h + -1. Sort t, r, 5 in descending order.\nAnswer: 5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 24694*w - 35 - 2*w**2 + 18.\nAnswer: -2*w**2 + 24694*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1437 - -1420. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1405635105 divided by 57.\nAnswer: -24660265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7524.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -6, -16, -30, -48?\n\"Answer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) 1\/9 (c) -16013 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/2)\/(15\/(-30)). Let o(t) = 4*t**2 + 3*t + 5. Let w(p) = 0*p - 7*p**2 + 4*p**2 - 4 - 2*p. What is g*w(l) + 4*o(l)?\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmmqqqqqmqq. Give prob of picking 3 q.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -5 + 9 - (2 - 34) and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + q**2 + 11. Let a be g(0). Let m = 12 - a. List the prime factors of (4 + m)\/(2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -111032001331?\nAnswer: 111032002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 - 4 - 3) + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Suppose -10 - 41 = -v*j. Suppose -t + 37 + j = 3*y, -4*y = -4*t + 232. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*c = -12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244629 - 1212*v + 244629 + 1215*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -18 - (5 - (-25)\/5). Let j be (-28)\/6 + 2\/3. Suppose 12*k - 5 = 17*k. Put c, k, 3, j in decreasing order.\nAnswer: c, 3, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdddddddudddu. What is prob of sequence ddvd?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*20\/((-10400)\/(-598)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/(-77)*10)\/(2\/(-7)). Let i(f) = f**3 - 5*f**2 - 5*f - 2. Let y be i(6). Suppose 16*q - v*q + y = 0. Solve 3*x + q = 2*n - 2, 4*n - 13 = -x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 12*b**2 + 636*b + 122. Give n(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*c)*(-c + 0*c + 2*c) - 1 + 44*c - c**2 + 40*c - 43*c.\nAnswer: -3*c**2 + 41*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.16 (c) -1.4 (d) -1\/8 (e) 39.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 263*z + 180 = 243*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 = 3*s, a - s - 3*s - 18 = 0. Suppose -116 = -a*o + 34. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 31. Suppose -4*v - v = 0. Let a = v + z. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 17*o - 33. Determine z(15).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4078 - 58*t + 4078)*(2 - 2 + 5).\nAnswer: -290*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -366298 + 528610. What is y rounded to the nearest 1000?\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -15, 20 in decreasing order.\nAnswer: 31, 20, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115 + 4?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-10) - (-528)\/20. Calculate the common denominator of (11760\/640)\/(0 + (-30)\/(-4)) and i*2*2\/80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001000110010101 - 11111010?\nAnswer: -101001001010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10850)\/(-3875)*(-10)\/(-18). Factor -4\/3 - s*h - 2\/9*h**2.\nAnswer: -2*(h + 1)*(h + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - -67. Let w = p - 48. Suppose 0 = 2*s - 4*s + w. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1265025 and -121\/15180300.\nAnswer: 15180300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 188278.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-9 + 19 - (2 + -5 + -42)) + -5.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716637?\nAnswer: 3, 238879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532*f**3 + 504*f**3 - 1130*f**3.\nAnswer: -94*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 2*g - 848852 + 13*g**2 + 848861.\nAnswer: 13*g**2 + 2*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 14*f = -9*f - 280278. Does 42 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.841752l in millilitres?\nAnswer: 9841.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495 <= 2483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, r: 3, h: 1, f: 3, d: 1}. Give prob of sequence fef.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-135)*-3*((-105)\/(-28) - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*j - 3 = 0, 4*j - 11 = 3*t - 0. Suppose 2*s = -9 - t. Let d = s + 5. What is the closest to 0 in 5, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 6. Let q(k) = -k**6 + k**5 + 1. Let a(z) = -2*z**6 + 3*z**5 - 2*z**2 + 3. Let p(d) = f*a(d) + 3*q(d). What is the third derivative of p(l) wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 115*m - 73 = 27*m. Sort -5, m, 135, 0 in descending order.\nAnswer: 135, m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 12 = -q. Let t = q + 118\/3. Let h = 90 + -89.9. What is the second smallest value in 2, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000*w - 984*w - 118064 = 0. What is the remainder when w is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*z = -11, -5*k + 33*z = 38*z + 25. Put k, 3, 2, 0 in descending order.\nAnswer: 3, 2, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:24 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -63 + 71 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/18*3 - 2. What is the highest common factor of u and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j - 3. Let z(x) = x**3 + 2*x**2 - 3*x. Let p be z(2). Let h be (-9)\/15 - 54\/p. What is g(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 27*t**2 + 30*t + 19. Let x(w) = 5*w**2 + 6*w + 4. Let q(l) = -2*o(l) + 11*x(l). Let r be q(-1). What is the closest to -1 in -0.1, r, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -504 - -540. Calculate the highest common divisor of i and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 5*k**4\/12 + 4*k + 11. Let y(s) = 16*s**2. Determine u(y(w)).\nAnswer: 1280*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*f, -f + 10 - 19 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by ((-1)\/1)\/((-92)\/90 - -1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:58 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1686.01 - -1686. Which is smaller: 13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {o: 3, w: 15}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6*(-6)\/1. Let s be ((-117)\/(-59) - 0) + v. Let w = s + 64\/295. Which is the third biggest value? (a) w (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 2723 + 3 + -1 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -452595.1 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(72) + sqrt(72)) + -4.\nAnswer: -4 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 39*r + 198.\nAnswer: (r + 6)*(r + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 2300 - 7*i**2 - 1171 + 8*i**2 - 1129.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/4 of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 - 445. Let r = 199 + x. Which is the nearest to 0.1? (a) -13 (b) -1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, 0, 4, -5, 29 in increasing order.\nAnswer: -14, -5, 0, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4648 - 4494. Calculate the remainder when 1205 is divided by y.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -p - 34, 5*k + 0*p = -8*k - p + 3*p - 487 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 2, e: 1, u: 3}. Give prob of picking 1 u and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 140326 - 71240 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - -865. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82616, -165237, -247856, -330473?\n\"Answer: w**2 - 82624*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t + 5*p = 33*t + 45, 5*t - 2*p + 24 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 467347.671us?\nAnswer: 0.0000007727309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 2*j**7\/105 - 136*j**6\/25 + 10606*j**5\/25 - 6868*j**4\/5 + 20402*j**3\/15 - 65*j + 2. Factor l(z).\nAnswer: 4*z*(z - 101)**2*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqlnwkwn. What is prob of sequence nlnq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 154 (base 16) to base 11\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17154201 - -7.938672?\nAnswer: -17154193.061328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, n: 1, v: 2, g: 2, p: 2, o: 2}. What is prob of picking 1 v, 1 n, and 1 b?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32267, -64530, -96793, -129056, -161319, -193582?\n\"Answer: -32263*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4*w - 937146*w**3 - 434*w**4 + 937147*w**3 + 2 as t*w**4 + n*w**2 + o*w**3 + m*w + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 279*a - 284*a - 45, -5*j = 5*a + 10 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -13. Suppose -2*b - 12 = -c*b. What is the second derivative of -b*d - 3*d + d**2 + 4*d wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + d + 1 - 4 - 14*d**2 + 0 in the form j*d + c*d**2 + q and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 not equal to 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/3 + 17590*h**3\/3 - 12853832*h**2 - 167880480*h - 465485184 = 0. What is h?\nAnswer: -9, -4, 4404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -8*y**5\/5 - 6*y**4 - 2*y**3\/3 + 12*y**2 - 8*y - 13. Factor i(z).\nAnswer: -2*(z + 2)**2*(2*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 222586*i + 15 + 18 - 63 + 12 + 222584*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 34 = -18. What is the derivative of -11*l**3 - 59*l**2 - t + 59*l**2 + 2*l**3 wrt l?\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 49.000000282. What is w rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 divided by -7?\nAnswer: -760\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(637) - (1*(0 + sqrt(637)))**2)*-4.\nAnswer: -12740 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178303967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-5 - -25)) + (-14 - (-6 + -4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3\/9 + 4438074*i**2 + 39942668*i\/9 = 0.\nAnswer: -1, 0, 19971334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87271372217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 117, 110, 99?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 14*i**3 - 5*i**2 - i + 1. Let j be f(1). Let s(x) = 3*x**2 + 4*x + 4. Let r be s(-4). Calculate the greatest common divisor of r and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56957124?\nAnswer: 2, 3, 7, 678061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15835\/8 or -1978?\nAnswer: -15835\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3700, -4669, -5638, -6607?\n\"Answer: -969*m - 2731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 860569085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 4. Let a(u) = -u + 2. Let x(t) = -5*a(t) - 2*g(t). Let n(s) = 3*s - 5. Suppose r - 5 = 3*b, 0 - 6 = -4*r - 2*b. Determine r*n(v) - 5*x(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65.34 + -65.04. What is the biggest value in 0.1, r, -25.56?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 10*t**2 - 10*t - 7. Let l be g(-9). Determine p so that 10*p + p + 5*p**2 + l - 4*p = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 19. Suppose -o = w - 2. Let z be ((-3)\/15)\/(2\/(-2)). Which is the smallest value? (a) w (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2970, 11838, 26634, 47364, 74034, 106650, 145218?\nAnswer: 189744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -114*o + 1083. Let s be p(9). Let m = -2 - -3. Let u be m*-57*(-4)\/6. What is the greatest common divisor of u and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 127.125. Let x = f + 0.425. What is the third biggest value in 0.2, x, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-13))*k*k)\/k**(2\/13))\/(k\/(((k*k**15)\/k)\/k)*k*k**(-3\/7)) assuming k is positive.\nAnswer: k**(116\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -13803021 at most as big as -13803016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265618482 divided by 2.\nAnswer: -132809241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 3*k**2 + k**2)*(4 - 2*k**2 - 4) - 104*k**4 + 215*k - 215*k.\nAnswer: -112*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1291\/3 - -434. What is the common denominator of m and -31\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -370282 + 1026282. Round h to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16145 = 114*n + 208*n + 689. What is the lowest common multiple of n and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51855.\nAnswer: 3, 5, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28752 and 18?\nAnswer: 86256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 343, 636, 929?\n\"Answer: 293*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 56.02 and -3.\nAnswer: 53.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6626406838563 - 0.2.\nAnswer: -6626406838563.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -31870 smaller than 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.426 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 10:41 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 48, -1\/3, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 45870 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - (-52 - -41)) + 1\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2 + 15*k + 39. Let i(c) = -7*c**2 - 17*c - 45. Let m(n) = -5*i(n) - 6*s(n). Calculate m(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 40)*(30708\/(-27) + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = i - 30*n - 42*n, 2*i + 38*n = 33*n - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -4*o**3\/3 - o**2\/2 + 26*o. Let a(j) = -36*j + 12*j + 13*j + 9*j. Determine -9*a(u) + 2*n(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 - 558308459?\nAnswer: -558308459.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (34\/255)\/((-8)\/(-15)). What is the smallest value in h, 1\/28, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + -4 + (-6*(1 + sqrt(612)) - (-1*sqrt(612) + 2)))*-2)**2 + -5.\nAnswer: 19440*sqrt(17) + 553711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 630055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Let r be b(2). Let u(k) = k**3 + 6*k**2 + 4*k - 5. Suppose -4 = m - 0. Let v be u(m). What is the greatest common divisor of v and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 75135 = 5*k, -39*k + 42*k + 5*t - 45057 = 0. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m + 0*m)*(3 - 2 + 1) + (-119 - 431 - 124)*(-1 - 1 - 2)*(-3 + 5 - 5)*(m + 0 + 0) as k + n*m and give n.\nAnswer: -8090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**4\/20 - 13*k**3\/5 - 99*k**2\/2 - 548*k. What is r in i(r) = 0?\nAnswer: -15, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -341*s**2 + 338*s**2 + 192 + 68 - s + 35 - 4*s. Determine p(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18359*r**2 + 332029*r - 332029*r.\nAnswer: -18359*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 5.4043?\nAnswer: 3.24258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*v + 52*v - 18 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - 2*u**3 - 88*u + 58 + 178*u + 102*u**4 - 89*u - 57 in the form o*u**2 + k*u**3 + n*u + q*u**4 + s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -158 (b) 12 (c) -0.05 (d) -5 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 11. Let d(b) = -6*b - 26. Let a be d(-3). Determine j(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 7. Suppose 5*m - 57 - 103 = 0. Suppose -5*y + 5*t + 18 = -2*y, -4*t = -4*y + m. Let b be d(y). Solve 2*v - v + b = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n + 1. Let x(k) be the second derivative of k**4\/6 - 4528*k. Give x(h(r)).\nAnswer: 162*r**2 - 36*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -132.5 * 0.26\nAnswer: -34.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -77*q**2 - 31. Let n(v) = 96*v - 1. Calculate x(n(l)).\nAnswer: -709632*l**2 + 14784*l - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 12:51 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6468 divided by -4050\nAnswer: -1078\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 315 + 8342. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2810*i**2 - 2810*i**2 + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwnwwwwwwwwnwnwwnww. Give prob of sequence nnw.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -155 (base 14) to base 4\nAnswer: -10033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6481542236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1053) + sqrt(1053) - sqrt(13))*-5 + -1)**2 - (-3 + sqrt(1300)*-1*-3 + sqrt(1300)).\nAnswer: -720*sqrt(13) + 93944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30226112 divided by 448?\nAnswer: 67469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-68) - (2 + -1)\/(-1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 + 218. Let v(u) = -u**2 + 6*u + 4. Let y be v(6). Suppose 5*b = y*b + 208. What is the remainder when b is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 5*l + l + (1 - 3 + 1)*(l + 0*l + 8*l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/6 - (3 + -1). Suppose -l + 0*l = 1. Let p = 623.5 + -623. What is the closest to l in -2\/5, p, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = 63*w + 47216. Which is smaller: -456 or w?\nAnswer: -456","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3136 and 70.\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -860.1 and -3023.6799.\nAnswer: -3883.7799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(400)*-3)*5.\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(7) - (sqrt(7) - sqrt(175)*-3).\nAnswer: -17*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05741365575827 - 0.1?\nAnswer: -0.15741365575827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/2 + 5\/(-5). Let i be 24*n\/((-80)\/12). Calculate the highest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 3*j - 10. Let w be s(7). Let d be (-13)\/w + (-16)\/(-72). Let m = -2605 - -2600. Which is the nearest to -2? (a) d (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (89 + 5)*4\/8. Suppose 49*f = w*f + 1102. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 20 + 9*u + 13*u + 7*u + 14*u in the form f + t*u and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 35145883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -71, -0.3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -23*d**3 + 2*d**2 - d. Let t be c(1). Let a = 34 - t. Suppose 0 = -5*j + a - 16. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*p**2 + 3 - 5 - 3 + 5 + 8*p**3 to a*p**2 + c + w*p**3 + x*p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g. Let w(v) = 814*v + 18. Calculate j(w(k)).\nAnswer: 3256*k + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*d - 3815 - 4089 = -568*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, 1165, 3, 0, 1 in descending order.\nAnswer: 1165, 12, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from oogrgoz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 5*g**2 + 5*g + 96. Determine p(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nken when four letters picked without replacement from nekenennnye?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-315)\/(-30))\/((-9)\/24*-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (2 + -7) - (9 - 3)) + -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w - 16*w + 33 = -27*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2267*m = 4540*m - 2270*m - 25, 3*x - 95 = m for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h**2. Let p(i) be the second derivative of -343*i**4\/12 - 3*i + 3. What is 77*c(k) + 2*p(k)?\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43200 divided by -7200.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2655 and 5310?\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 minus -0.053?\nAnswer: -7.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(675) + -5 + sqrt(48)) - (sqrt(270)*-5)\/(-4*sqrt(10)*3))**2.\nAnswer: -9625*sqrt(3)\/2 + 454675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/9 - 6\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -267\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0878 - -0.0877619. Round f to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.81 - 15. Let z = -6 + 6.01. Let v = k - z. Which is the closest to -6? (a) -1 (b) v (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/12 + h**3\/6 - h**2\/2 + 21*h - 4. Suppose 0 = -2*v + 8. Let p(j) = 3*j**3 + 4*j**2 + 4*j - 3. What is v*x(m) - p(m)?\nAnswer: -3*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 9*h - 22 + (2 - 4 + 0)*(-3 + 3 + h))*(3*h - 4*h + 2*h) in the form f*h**2 + i + p*h and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 4 + (-39 + 15 - -47).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 41448061380 to the nearest one million.\nAnswer: 41448000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q**5\/3 + 128*q**4\/3 - 200*q**3\/3 - 100*q**2\/3 + 178*q\/3 - 28\/3 = 0 for q.\nAnswer: -7, -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 3 (c) -358 (d) -1 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 3, 0, 5, -2 in descending order.\nAnswer: 5, 3, 0, -2, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkqe when four letters picked without replacement from ezkkkqkkev.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2714, -8174, -16366, -27284, -40922, -57274, -76334?\nAnswer: -98096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 935732 or 935730?\nAnswer: 935730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4 + 228. Suppose r - t = -r. Calculate the highest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/3*30\/20. Let y = -576 + 1281. Suppose 5*u + 25 = 0, -3*b + 3*u + y = o*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -8733633055\nAnswer: -8733633054.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 8*y + 2. Suppose 5*q = -10, 2*j - 4*j - 2*q - 20 = 0. Let m be i(j). Solve -5*f - 4*w + 3 = -m, f - 3*w - 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60 - (-2 + (2 - -2)). Suppose -2*z = 3*m + 2*z - 94, -4*z - o = -m. Let g = 26 - 13. Calculate the remainder when m is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366527536?\nAnswer: 2, 41, 558731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43430838 divided by -1974129?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209078968 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -3*a**5\/35 + a**4\/14 + 3*a**3\/7 - 4*a\/7 - 4. Let d(k) = 0. What is k?\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1166.5696 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 4:44 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 97*-0.61\nAnswer: -59.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3473*k - 3431*k + 10342*k - 3500*k.\nAnswer: -62*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/14, 6, -30.1?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2 - 3198136*j + 3198140 = 0.\nAnswer: -799535, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.316 - -2594.\nAnswer: 2611.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79268.33ms in microseconds?\nAnswer: 79268330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -2*s - 60. Let w be 5\/(0 - s\/(-18)). Suppose g + w*g - 917 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 31 = -1. Let h = 24 - l. Calculate the remainder when h is divided by (3\/(-6))\/(5\/(-110)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 18 - 11 - 7.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6 = -6. Suppose 0 = -3*b - b + 1200. Suppose 0 = r*l - b + 120. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/77, -1\/150, 2\/3, -15\/2 in descending order.\nAnswer: 2\/3, -1\/150, -1\/77, -1, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351 and 1017?\nAnswer: 39663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -657cc?\nAnswer: -657c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8074 divided by -29?\nAnswer: 8074\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 341123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -15*g**2 - 28*g + 9. Let n(y) = 5*y**2 + 10*y - 3. What is -11*n(x) - 4*s(x)?\nAnswer: 5*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (4 - 5 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 486, 5, 1, 0, 4, -2 in increasing order.\nAnswer: -4, -2, 0, 1, 4, 5, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9979.838km to nanometers.\nAnswer: 9979838000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 919578, 1839151, 2758724, 3678297, 4597870?\nAnswer: 5517443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 5 + 4 - 5 to n*w**2 + z + p*w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87454 is divided by 343.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 130\/(-4) + (-8)\/16. Suppose -12*q = -9*q - 243. Let c = q + j. What is the highest common factor of c and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 5, 35, 22\/5 in ascending order.\nAnswer: -1\/3, 22\/5, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 2. Suppose 15 = -2*g + 11, 0 = -3*m + 5*g + 22. Let q be 2\/(-8) + 152\/(-32). Let w(f) = -f - 2. Calculate m*o(d) + q*w(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 37 = -3*b, -3*c - 2*b + 0*b = 7. Sort -4, -2, c in ascending order.\nAnswer: c, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 1, t: 2, q: 4, x: 1, b: 3}. Give prob of sequence brq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(240\/(-54)))\/((-1131)\/464)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073 a factor of 329499352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 2\/3 - 4\/3*h**2 - 2*h + 4\/3*h**3 + 2\/3*h**5.\nAnswer: 2*(h - 1)*(h + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 916 + -911. Calculate the greatest common factor of 1315 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74 - -66) + 38 + -20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 7330*x - 7309*x - 594, 92 = -j + 3*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-200)\/(-60))*8\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 1. Let m(y) be the second derivative of -1\/2*y**2 + 0 - 17*y. Calculate 4*m(o) + 4*w(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/12*11\/(22\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 9. Let d(c) = -12*c. What is b(d(h))?\nAnswer: -24*h - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 727, 718, 701, 670, 619?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1989.2526 months to millennia.\nAnswer: 0.16577105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6218.\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674, -1338, -1992, -2630, -3246, -3834?\nAnswer: -4388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2583 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3511*b**3 - 2889*b**3 - 8019*b**3.\nAnswer: -7397*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -532 - -536. Suppose 53782 - 3194 = k*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 1484 - 1746. Suppose 324*u = p*u + 17. Let h be 16 + -3*1\/(-3). What is the greatest common divisor of u and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, -8, 9, 34, 67, 108?\n\"Answer: 4*u**2 - 3*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.9 + -37. Let i = -4326 - -4326.9006. Let c = h - i. Round c to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246494 or 246493?\nAnswer: 246493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43394 - 4957*m**3 + 49126 - 1802*m**3 wrt m?\nAnswer: -20277*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 15) to base 4.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:18 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/8 and -61152.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77663880 and 3328452.\nAnswer: 232991640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2121*j + 18. Let w be m(-8). Let r = w - 441537\/26. What is the common denominator of 95\/6 and r?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.064816 and 57?\nAnswer: -3.694512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14871.\nAnswer: 3, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192085 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14547279 and 12132?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22329713459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/1*(-918)\/11781?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 79*s - 249. Determine y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011754 rounded to 6 dps?\nAnswer: -0.001175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27647959*t**2*z**2 - 40080584*t**2*z wrt z.\nAnswer: -55295918*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 4093 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 + -3) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 209*c**3\/3 + 7*c**2\/2 - 3*c + 56. What is the hundreds digit of h(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a2 + 1?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081*v**3 - 2*v**2 + 2*v**2 + 0*v**2 - 1083*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*h, 11*h = -3*j + 16*h + 2651. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 6149768. Let g(h) = 2*h. Calculate x(g(u)).\nAnswer: 8*u**2 + 6149768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1464*o + 771 - 771.\nAnswer: 1464*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -9. Suppose -3*s + 2*s - c + i = 0, -30 = -3*s + 3*c. Let j be -1*3 + (-76)\/(-19). Solve -d = -5*u - 20, j = -5*d - 2*u - s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4326, 16882, 37664, 66672, 103906, 149366, 203052?\nAnswer: 264964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 20\/7*i**3 - 4\/7*i**4 - 36\/7*i - 12\/7*i**2.\nAnswer: -4*i*(i - 3)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -2\/11, 1\/9, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 10. Let v = -10 + 12. Suppose 2*b = -v*k - b + 35, -4*k - 5*b = -65. Let i be g(k). Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119.792+1\nAnswer: 120.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = -6. Suppose 0 = -3*b + 2*u - v, -4*u = -2*u - 4. Let l = -3 - -7. Solve l*f + 2 - 6 = b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72120014 to the power of 1\/2, to the nearest integer?\nAnswer: 8492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 95.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Solve -2*y**i + y**5 + 5*y**5 + 61 - 20*y**4 - 29 + 4*y**3 + 68*y**2 - 88*y = 0 for y.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4675005659 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 117, 231, 339, 411, 417, 327?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3116 and 6386242?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12636 * 0.1.\nAnswer: -1263.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -16583\/16 and -1036 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -327, -623?\nAnswer: -623","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*x = 219*x. Let w(i) be the second derivative of -2\/27*i**3 + 0*i**2 + 2*i + x - 1\/54*i**4. Factor w(o).\nAnswer: -2*o*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3377 is divided by 261?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 0*o**3 - o**3 + 3*o**2 - 5 - 7*o**2. Let h be l(-4). What is the smallest value in -1, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 3*o**2 + 7*o + 26 + 23 + 4*o as q + l*o**2 + z*o and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q**2 + 40*q**2 + 24*q**2)*(1 + 1 + 3) + 0*q**2 - 4*q**2 + 2*q**2 as i*q**2 + h + r*q and give i.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from nnnddsmdddnnndnn?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 66, 1 in descending order.\nAnswer: 66, 1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94864 - 106*q - 83*q - 94864 + 62*q - 55*q.\nAnswer: -182*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - -0.5. Let j = 20\/93 - -14\/31. What is the closest to 0.3 in 1, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 3*l**2 + 15*l + 146. Determine k(-8).\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8 and -7260.\nAnswer: 20328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -25. Let w(p) = -4 - 4 - 2*p + 5*p**2 + 1 + p**3. Calculate w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 11. Suppose 0*n - 5*n = -z, 0 = 5*b + 3*n - 40. Solve 0 = -3*w + 2 - b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -443247015?\nAnswer: 443247016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001100426 to five decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)\/(-1*1*sqrt(12)) + 2)*-4)**2 + 4.\nAnswer: -64*sqrt(11) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670272 is divided by 1741.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 280\/(-2380) - 7714\/34. Which is greater: -2050\/9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 > 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {n: 4, o: 4, p: 6, h: 3, r: 3}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71592?\nAnswer: 2, 3, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 1\/3*j**3 - 1\/2*j**2 - 4 - 13*j. Calculate p(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1966480 = -5*f, -29*u + 32*u = 12. Round f to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 0. Suppose r + g*r = 3. Suppose -3*h + h + 32 = r*n, 32 = 5*n - 2*h. Calculate the highest common factor of n and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a - 12. Let d(j) = -15*j - 18. List the prime factors of d(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**4\/24 + 12*o**2. Let y(k) = 7*k. Determine y(w(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3737280 rounded to the nearest ten thousand?\nAnswer: -3740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 146 + -185 - (-48 + -16)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let z(l) = -3*l - 2 + 2 + 10*l. Determine z(v(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 - 69. Let v = 58.15 - q. Let x = 0 + -4. Which is greater: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1.9 (c) 9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 17. Let k be c(19). Let u be 4422\/42 + k + (-16)\/7. Calculate the greatest common factor of u and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14411*f - 8. Let g(l) = 335978046*l - 186511. Give 8*g(z) - 186511*r(z).\nAnswer: 14347*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 - 6*k + 5. Let j(y) = 5*y**2 - 5*y + 4. Let p(t) = -5*j(t) + 4*x(t). Let b be 8 + 1 - (0 + -1). Suppose b = 4*i + i. Calculate p(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3258865235 + 5.3259. Round p to 7 dps.\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*a + 8, 0 = p - 5*a - 15 - 14. Suppose -4*m = -p*d - 8, -3 + 1 = -2*m + 3*d. What is the units digit of m + (-3 - -26 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 3}. What is prob of picking 2 p and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-108) - (-31)\/124.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.23 - 0.17. Let p = v + 0.2. Which is the second smallest value? (a) p (b) -1\/3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(600)*-1)\/sqrt(12))\/(((sqrt(80)*2 - sqrt(80))*-3)\/(sqrt(1152) + (sqrt(1152) - -1*sqrt(1152)))).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x = 33. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2494, -2492, -2490, -2488, -2486?\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -119624.9551 rounded to the nearest 10?\nAnswer: -119620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*d + 430, -560 = -26*w + 31*w - 5*d. Let c = w + 398. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32049 and -32049 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, -26\/11, 4, 19, 0.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 11 (c) 1 (d) -3 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344 - 339. Suppose g*l - 2464 = 176. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4844 + 4870. Which is the nearest to -4? (a) -4 (b) o (c) -0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 75*a - 593 - 175 = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 311 - 887 + 283 + 293.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i + 3. Let k(j) = j - 10. Let g(u) = u. Let t be g(8). Let x be k(t). Let d be f(x). What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1262)\/(-34) - (4\/17)\/2. Suppose f = -0*f + l + 16, w = 2*f + 3*l. Let p = -71 - -105. Calculate the highest common factor of f and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/((v\/(v\/((v*v**(2\/7))\/v)))\/v))**(-9)\/(v\/v**(-1)*v*v*v*v\/(v*v**5*v))**(-4\/3) assuming v is positive.\nAnswer: v**(215\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 13*t**2 + 9*t + 11. Let i(u) = 14*u**2 - u - 2. Let w be i(-1). Let b be d(w). Let a = b + -81. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -799 and 270?\nAnswer: -215730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5965 by -5.\nAnswer: -1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + c + c + 98 = 0, -2*i + 45 = 5*c. Suppose 165 - 81 = 2*a + 4*f, 2*a - 4*f = 12. What is the smallest common multiple of i and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 - 6 = 0. Let q be (-6)\/(-27) + 3425\/45. Let f = 77 - q. Which is the closest to f? (a) s (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1317*c**2 + 26*c - 18*c - 8*c.\nAnswer: 1317*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 - 44485*o**2\/3 + 24763687*o\/3 - 1156068001.\nAnswer: (o - 43923)*(o - 281)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/7, -17, -122?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0292374 rounded to four decimal places?\nAnswer: -0.0292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2289500611?\nAnswer: 2289500611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (299453*a + 13 - 299455*a + 108 - 5*a**2)*(3 - 3 - 1) to the form z*a + s + q*a**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*x - 2, -5*x - 169 = 4*j - 161 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -346.1 take away -1?\nAnswer: -345.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*p = 96*p - 99*p + 1296 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.818 or -1050\/11?\nAnswer: 3.818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y - 90 = 0. Let q be y\/9 + 4\/6. Suppose -140 = -0*g - q*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2364, -5, -12 in decreasing order.\nAnswer: 0, -5, -12, -2364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, -133.04 in increasing order.\nAnswer: -133.04, -21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 14*q + 33. Let i be 4\/(-26) - 123\/(-39). Suppose 0 = -i*p - 0*p + 5*r - 33, -5*r - 63 = 3*p. What are the prime factors of h(p)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e062 (base 15) to base 2\nAnswer: 10111111010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2379\/2 + 1144. Calculate the common denominator of p and -7 - -4 - (-1)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-52)\/(-12))\/13*36. Suppose -q*m + 975 = -69. Calculate the remainder when m is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -530 greater than or equal to -530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 160?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmvmuhhhhhhhhhthh. What is prob of picking 3 h and 1 m?\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 386*z - 4678. Determine j(12).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(0 + (-110)\/(-1385)). Let t = -200 - w. Factor 32\/11 + 2\/11*p**2 + t*p.\nAnswer: 2*(p + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2790 from -28.\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -5 + (-18 - -6) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 2651 - 517 = 343 - 3073 for l.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 106057.\nAnswer: -106056.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1195484 and 1860?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from {b: 7, x: 1, s: 3, c: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13.4. Let y = -5.6 + c. Is 7 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1901005 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 629774*q**2 + 42.\nAnswer: 629774*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 - 4*s - 1. What is t(8)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v = 49*v - 90*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -120.22. Let x = 0.22 + r. Which is the second smallest value? (a) x (b) 2\/19 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7221812 times -3?\nAnswer: 2.1665436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1, -0.0531?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 1, e: 3, y: 1, f: 4, a: 2}. Give prob of sequence fa.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003225 to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*k**4 + 2*k**2 - k**3 + k**3 + 1 + 6*k**4 - 6*k**2 - k to the form u*k**4 + v*k**3 + t*k + b + f*k**2 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2)\/((12 - (-69)\/(-5)) + 4).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15)*-2)\/((-4)\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.473203 hours?\nAnswer: 1703530800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 666 + -649. Suppose 0 = 5*i - 25, -6*d + 2*d + 27 = -i. Let a = 77 + d. What is the greatest common divisor of n and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 + -14 + 2 + (-6 - -55) + 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -34, -5, 4 in increasing order.\nAnswer: -34, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 5*r + c - 165, -2*c + 426 = -29*r + 42*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/3)*n)\/n**(2\/29)*(n\/(n**(-9)*n))\/(n*n**(8\/3)))\/((n*n\/(n\/n**(-1\/5)))**(-5\/6)\/(((n\/n**(-9\/2))\/n*n)\/(n**(2\/19)\/n))) assuming n is positive.\nAnswer: n**(46259\/3306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16752665 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*j**2 + 1 - 9*j - 1 + 3*j wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 586628 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -1\/120*x**5 - 3\/2*x**3 + 13*x - 1\/24*x**4 + 0 + 0*x**2. Let o(i) be the second derivative of t(i). What is o(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358 divided by 7?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*v + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5069.\nAnswer: -5\/5069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15932 at most 15933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25445 is divided by 1465?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2331238.93599.\nAnswer: 2331234.93599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 - 1. Give q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6135 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198560*m**4 - 12*m**3 - 21822858*m**2?\nAnswer: 4765440*m - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*g**2)*(g + 5*g - 4*g) - 32*g**2 - 17*g**3 + 32*g**2 - g**3 + 5*g**3 + g**3 + (-3*g**3 + 0*g**3 + 2*g**3)*(0 + 2 - 1).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.5 + 31. Sort 4\/3, 0.1, j, 1\/3 in ascending order.\nAnswer: j, 0.1, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 154 = -56. Suppose 4*i = 3*q + 45, 0 = i - 13*q + 9*q + 5. What is the remainder when h is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - k - 2. Let a(b) = -16*b**2 - 6*b - 11. Let n(j) = 2*a(j) - 11*y(j). Determine n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428.4716ng to grams.\nAnswer: 0.0000004284716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4121026 rounded to two dps?\nAnswer: 5.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*j - j - 22*j)*(2*j + j + 6 - 6*j) + (1 - j - 1)*(1 - 1 - 2*j) + 4*j**2 - j**2 - 2*j**2 as q + n*j + x*j**2 and give x.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*y + 586 = 0, -8*y + 5*y = -3*s + 441. Calculate the remainder when s is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.9 - 6.8. Let f = 913187\/76 - 12016. Let o = f - -12\/19. Which is the smallest value? (a) 2 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.095338 - 18.1.\nAnswer: -17.004662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 11*n**2 + 12*n + 2. Let u be t(12). Suppose -u*m - 167994 = -3*f + m, -5*m = f - 56010. What is f rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(45))**2 + 1*sqrt(4)\/sqrt(2) + -4 + (sqrt(192)\/sqrt(6))**2 + -4.\nAnswer: sqrt(2) + 218\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43d192 (base 15) in base 2?\nAnswer: -1100010101011101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*x + 195*x**2 - 181*x**2 - 952*x**2 + 34*x + (1 + x - 1)*(0*x + 5*x - 3*x).\nAnswer: -936*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 16) in base 14?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -191041745 divided by 38208349?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3670, 2\/15, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/4, 4\/43, -0.1, 2\/13 in ascending order.\nAnswer: -1\/4, -0.1, 4\/43, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3434\/13 - 264. Let m = -42.2 - -42. What is the second biggest value in m, j, 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 285 + -26. Is 37 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -266*y**2 - 230*y**2 - 16*y**2 + 630 - 629 as m*y**2 + l*y + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 68. Let k(l) = -34. Let r(w) = -7*k(w) + 3*u(w). Let i be r(-10). Suppose 0 = -5*m - 2*g - 2*g + 25, -3*g + 20 = 5*m. Solve 0 = s + m - i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c + 2*c - 6*c + 81*c**2 - 338*c**2 - 194*c**3 wrt c.\nAnswer: -1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 101*i**2 + 816*i + 420. Determine m(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a = -14*a + 324 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 19. Let h = -27 + 16. Let d be k(h). Let r(t) = -d*t**2 + 7*t**2 + 12*t**2 + 7*t**2. Let a(o) = -4*o. Calculate r(a(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 13 = -5*q. Let n be (q\/(-16))\/(1\/4). Suppose 17 + n = 2*y + 5*s, y = 5*s + 25. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = u. Is (-4)\/8 + (-179)\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -29 in increasing order.\nAnswer: -29, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.87227ml in litres?\nAnswer: 0.06087227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -286 + 286 + 22*k as a*k + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g + 8. Let o(n) = -5 + n + 0*n + 2 + n. Let k(a) = 4*c(a) + 11*o(a). Let d(h) = -h - 1. Calculate 5*d(u) - 5*k(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 2 a when four letters picked without replacement from {t: 1, o: 3, r: 3, g: 1, a: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 34.3, 3\/8, -2\/9, 2, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67353944.\nAnswer: 2, 7, 461, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 96*t**2 - 195*t - 76. What is x(98)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163712916 + 163712923.9999963. Let i = -8 + f. Round i to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -3\/37, -10\/7?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 q when three letters picked without replacement from kkqklqfkkggqkf?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -121*g**3 + 2*g**2 - 2*g. What is u(1)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 3*j**2 + 2*j**2. Suppose -4*k = 3*i - 46, -24 = -3*k + 4*i - i. Let x(g) = 10 - g - k. Give b(x(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 17*x**3 - x**2 - 4*x + 4. Let w be m(2). Let t = -128 + w. Let h be (1\/2)\/((-6)\/(-36)). Solve -h*a - b = t, -a + b = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 117.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -59*m - 5. Let w(z) = -25*z - 1. Let r(y) = -415*y - 16. Let u(s) = -2*r(s) + 34*w(s). Determine -11*u(c) + 4*x(c).\nAnswer: -16*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/5 + 2799*i\/5 + 16686\/5 = 0. What is i?\nAnswer: -927, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/3294 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**12\/r*r**(-10)*r\/(r**(-1\/4)*r)*r**(1\/6)*r*r*r assuming r is positive.\nAnswer: r**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 226*f + 5629. Determine y(-25).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1044.5437244 + 5585.\nAnswer: 4540.4562756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 13*s**2 + 13*s + 97. Let t be l(11). Which is the nearest to -0.04? (a) 5 (b) 2\/5 (c) t (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(6\/13)\/(l\/(l\/((l\/(l*(l\/l**22)\/l*l))\/l))) assuming l is positive.\nAnswer: l**(-254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20302323032 (base 4) to base 10.\nAnswer: 2305742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -38. What is the nearest to 0.2 in -3, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -472 in -6\/11, -5, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxtso. What is prob of picking 1 x and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -377, -573, -775?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10951 bigger than 0.7767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 8, -0.5, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from {z: 3, j: 3, i: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)\/(h*(h*h**(4\/3)*h)\/h))\/(h*h*h**(-5)*h*h*h**(-1\/3))*h**(2\/29)*h\/(h*h*(((h**(1\/2)*h)\/h)\/h)\/h)*(h**(-1))**34 assuming h is positive.\nAnswer: h**(-22721\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 2.4. Let s = v - -6.7. Let o = 8.4 - s. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 4471.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiqiaaqaiiqaiaqq. What is prob of picking 2 a?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j + 8. Give x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 281419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 20 = -184. Calculate the common denominator of 21\/(-28)*s\/(-78) and (-558)\/(-198) + 6\/4*1.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184*u**2 + 0*u - 678*u**6 + 0*u + 737*u**6 wrt u.\nAnswer: 7080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - 1 + 9*y - 67*y - 17*y in the form z + r*y and give r.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 1. Let f be n(5). Let c be (f\/(-4) - -2)\/((-30)\/40). Solve d + 5*o = -9, -2*d + 0*o - 10 = c*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*27\/18*(-12)\/90?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 622 - 588. Let p = -15 - -14.7. Which is the third smallest value? (a) p (b) w (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2755 and -27\/30077.\nAnswer: 4361165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 6) to base 15.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1654033*n**4 - n**3 - 4*n - 41805683 wrt n?\nAnswer: 6616132*n**3 - 3*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 14. Calculate y(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = n, -2*w - 2*n + 12 = -0*n. Calculate the highest common divisor of w and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:01 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14*u**2 + 14*u + 5. Calculate the remainder when 348 is divided by p(-3).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (1 - (4 - 2)). Suppose 0 = -16*t - 91 + 427. Let p be ((-27)\/t*(-6)\/(-9))\/(-3). Which is greater: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-1\/4))*j)\/j**(-16))\/(j**8\/((j\/j**(-10))\/j)) assuming j is positive.\nAnswer: j**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -46, 39, 198, 455, 834?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/8*((-14472)\/(-720))\/201.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5420328?\nAnswer: 2, 3, 449, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9*105\/1134*(-12)\/(-4))\/(2\/20)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -419, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -3.\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 6:06 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.389 + 17.7274788141.\nAnswer: 17.3384788141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37963648 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + 2*l**2 + l - 3. Suppose 5*r = -3*y + 22, -2*r - 5*y + 19 = -5. Let b(v) = -4*v**3 + 3*v**2 + v - 4. Calculate r*b(i) - 3*s(i).\nAnswer: i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 307 + -439. Let j = -111 - w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -437 - 0.687\nAnswer: -437.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 650\/1724283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -141640.75554 rounded to the nearest 100?\nAnswer: -141600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833536, 1667011, 2500486, 3333961, 4167436, 5000911?\nAnswer: 5834386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s + 12 - 2*s + s**2 + s. Let a be m(-9). Find the second derivative of 4*i**3 - a*i**3 - i + 3*i wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3215, 9, 2\/41, -0.3, -6 in decreasing order.\nAnswer: 3215, 9, 2\/41, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, -44, 2, -5.1?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 127.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73837902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78472 and 138.\nAnswer: 10829136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(((-12)\/(-8))\/((-9)\/(-12))). Solve n = -4*w - 11 - 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t = -26*t - 108 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hha when three letters picked without replacement from {y: 3, a: 4, h: 2, i: 8}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 + 9*d + 3*d**2 + 6 - 5*d**2. Let v be f(-9). Let w = 28 + 2. What is the highest common factor of v and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(4\/17)*v**(-39)*v**(-37\/3)\/(v*v**22*v) assuming v is positive.\nAnswer: v**(-3803\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21*t + 88. Suppose l - s + 13 = 2, 0 = 2*l + s + 31. What is the hundreds digit of h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/4704 and 19\/87808.\nAnswer: 263424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-55)\/(-10))\/((-19)\/((-44840)\/177))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/2, -0.11, 2\/7 in descending order.\nAnswer: 2, 3\/2, 2\/7, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-90027)\/14)\/3*2*-1. Suppose -4*j - 2*m = -17136, 0 = j - 5*m + 4*m - x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f + 5, 2*f + 8 = -o. Suppose 0 = 4*u + 5*h + 12, 5*u + 0 - 2 = -o*h. Suppose -p + 9 = u*p. Solve -p*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l. Let r(k) = 60622*k. Calculate r(b(w)).\nAnswer: 181866*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 - x - 12. Let f be r(-3). Let v be ((-2)\/4)\/((-4)\/56). Suppose v = -3*h + 250. Calculate the highest common divisor of h and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (217\/(-35) - -6)\/((-3)\/(-105))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/11 - 2\/11. Let o = -0.5 + 0.3. Let l = -0.2 - o. Which is the nearest to n? (a) 2 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*c + 2, -4*c = -b + 18. Let n(j) = -6*j - 2. Let d be n(b). Let u = d - -76. Calculate the remainder when u is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 5*x = 71, -7*x = -21872 + 21879 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*j - 160 = 7*c, 0 = 3*j. Let k = c + 180. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83423 is divided by 668?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 3:47 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 141224468 divided by 22\nAnswer: 6419294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56141, -56123, -56095, -56051, -55985, -55891, -55763, -55595?\nAnswer: -55381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10.95. Let k = f + -0.35. What is the closest to -1 in 2, -1\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (-2655)\/40 - (-9)\/24.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-22)\/6 - 3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 2*o + 54. Let r(d) = d**2 - d - 52. Let k(p) = -4*l(p) - 3*r(p). Calculate the smallest common multiple of 34 and k(-6).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = d, -4 = 2*p + d - 5*d. Suppose 0 = -2*j + p*j + j. Suppose -x - 4 = -0, -4*x = 2*g + 14. Which is the smallest value? (a) 4 (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*m + 19, -33 + 43 = 5*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8176 = 113*g - 405*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jomy when four letters picked without replacement from jmlmommy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -11, 60, -2, -4\/707?\nAnswer: -4\/707","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-5) + (-301)\/(-35). What is the remainder when c\/(-20) + 422\/5 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38364 (base 10) in base 11?\nAnswer: 26907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/z**(-1\/3))\/z)*z**2\/z)**(-14)\/(z**(-2)\/(z**(-3\/5)*z)*(z*z\/z**(-5\/6))\/z**(-4)) assuming z is positive.\nAnswer: z**(-413\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + (1 - 3) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -442 - -76557?\nAnswer: 76115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12309596 = 3*o + 13911247. Let t(l) = -17240281*l**3 + l - 1. Let g be t(1). Let i = g - o. Round i to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.067, -3, 0, 5, -0.05 in decreasing order.\nAnswer: 5, 0.067, 0, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000978533551 rounded to six decimal places?\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y + 1\/240*y**6 + 0*y**3 + 1\/24*y**5 - 40*y**2 - 1\/8*y**4 + 1. Find f, given that r(f) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 6:33 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)\/(-2) - -2. Let x(r) = 2*r**2 + 22*r + 66. Let n be x(-7). Calculate the highest common factor of t and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eweewe. What is prob of sequence ee?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 22*p**2 - 17)*((-4*p - 2*p + 5*p)*(-2 + 0 + 1) + 4*p + p - 7*p + (3 + 0 - 4)*(-4*p + p + 0*p)) - p**3 - 2*p**2 + 2*p**2.\nAnswer: 43*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.54 + 1.04. Let h be (-18)\/24 - (-10)\/16. Put -0.3, 5, h, r in ascending order.\nAnswer: r, -0.3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 1:16 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 2. Suppose -5*b + 492 + 313 = -5*a, 2*a + 648 = i*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21631?\nAnswer: 97, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4080036 to the nearest integer?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**3 - x**2 + 8*x + 4. Let y(v) = 28*v**3 - 4*v**2 + 22*v + 11. Give 11*s(a) - 4*y(a).\nAnswer: -13*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 367, 1255, 2987, 5845, 10111?\nAnswer: 16067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673.4654ml to litres.\nAnswer: 0.6734654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 16*b + 36*b - 1189 = -104 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-3 - (-3 - -1)). Find the common denominator of 3\/8 and t\/56 - 141\/(-70).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 0 (b) 910 (c) 7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3096 - 3096.3. Which is the third smallest value? (a) 6\/7 (b) 2\/1519 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - -71 - (13 + 37).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 2\/15, -1481, -8?\nAnswer: -1481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**2 + 43*h**3 + 7*h**3 + 29*h**4 - 23*h - 14*h**4 - 7*h = 0.\nAnswer: -3, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j - 3. Let f = -5.13 - -0.13. Let p = -35\/2 + 18. What is the third smallest value in f, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 378922256080 rounded to the nearest one million?\nAnswer: 378922000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n. Let t(p) = -6*p**3 - 2*p**2 - 3*p - 2. Let k = -10 + 12. Let f(u) = u**2 - u + 1. Let x(y) = k*f(y) + t(y). Determine -5*d(r) + x(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 17. Let s = t - -7. Let z = s - 3. What is the third biggest value in z, 4, -4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 1, b: 2, m: 2, j: 1}. What is prob of picking 2 b and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/4)\/(0 + (1 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/4 - 1\/(-4). Let i(z) be the third derivative of -z**5\/60 - z**4\/2 - 3*z**3\/2 + 2466*z**2 + z - 2. Calculate i(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*l - 1123 + 304 = 0. Let u(s) = -4*s**3 + 3*s**2 + s - 2. What is u(l)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5938898591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -132028*k. Let i(x) = -42*x + 7. What is m(i(h))?\nAnswer: 5545176*h - 924196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/385 and 41\/770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99.199 - -0.799. Let l = -97 - d. What is the biggest value in 2, 0.2, l, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*q = 10, -96 = 4*q - 88 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3 + 6. Suppose -s*h - 14 = 2*h + 2*d, h + 4*d - 8 = 0. Let g(i) = 391*i - 10. Let r(o) = 147*o - 3. Let w(f) = 3*g(f) - 8*r(f). Calculate w(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604435 is divided by 423.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 28*w - 1 = 0, -5*w = -j + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 1 - (-90)\/35. What is the closest to -2\/3 in 0.2, t, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -540 + 1103. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 536\nAnswer: 3\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -0.2, 3\/2, 1, -47571, -8 in decreasing order.\nAnswer: 3\/2, 1, 1\/8, -0.2, -8, -47571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173\/679 - 3\/97. Suppose -z - z = 2*z. Which is the closest to 2\/5? (a) 0.4 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 10*z - 8. Let j be (0 + -2)*2 - (-16 - -20). What is o(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + a + 259, 4*i - 3*a + 20 = 367. Let x = -58 + i. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/7 and 29\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4 - 483*l**3 + 10437*l**2 - 31917*l - 42840 = 0. What is l?\nAnswer: -1, 5, 21, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*m**2 + 323*m**2 + 13 - 93*m**2 - 133*m**2.\nAnswer: -m**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -0.3.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15416 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 285.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -3\/2*d**2 + 1 + 0*d. Let j(v) = v - 3. Let x be j(5). Give h(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/14)\/(-3*(-4)\/24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21221\/6 + -3547. Calculate the common denominator of p and 25\/2*(-629)\/8880.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 + 60. Suppose -28*h + 2160 + 1417 = -343. Let n = j + h. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1 - v**3 - 3423*v + 10281*v - v**2 - 3431*v - 3428*v. Let x(m) = 7*m**3 + 3*m**2 + 3*m + 3. Calculate -3*s(w) - x(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v - 8 = -24*v. Suppose -2*w + 25 = r + 2, v*r + 64 = 5*w. Let f = 53 - 31. Calculate the remainder when f is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 34*w**2 + 184*w - 59. Is i(-27) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 34, 86, 170, 292, 458, 674, 946?\n\"Answer: d**3 + 7*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150 + 12*s**2 - 5*s**2 - 6*s**2)*(1 - 9 - 5 + 1).\nAnswer: -12*s**2 + 1800","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 1\/2, 884\/63, 6\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsxfxx. What is prob of sequence xss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**3 - 63*x. Let d(j) = -14*j**3 + 128*j. What is -4*d(y) - 7*m(y)?\nAnswer: 7*y**3 - 71*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 239*n**3 - 1711*n**2 - 2701*n - 1230.\nAnswer: (n - 246)*(n + 1)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8433 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 199171161 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2357 (base 10) to base 7.\nAnswer: 6605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 148\/48 - (-1 - -4). Let i = 0 - 4. Sort i, x, -3\/2 in increasing order.\nAnswer: i, -3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360, 1361, 1396, 1483, 1640?\nAnswer: 1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2592 or 2627?\nAnswer: 2592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 84*n - 239. Calculate h(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (46\/20 + -2)\/(6532\/(-345) + 15 - -4)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -37*m**4\/8 + 79*m**3\/6 - 25*m**2. What is the derivative of l(t) wrt t?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 19 = -s - 5, -b + 5*s = 28 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-13)*(-80)\/(-16)*(-6)\/(-45)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 7 + 187*b**2 + 26 - 14.\nAnswer: 187*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 51.\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (309 - 9075)*(2 - (-16)\/(-6)) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2209410 divided by -1670\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or 3\/7?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - f - 7. Let w(p) = -p - 5. Let g be w(-5). Let k be q(g). Let l(c) = c**3 + 8*c**2 - 6*c + 13. What is the hundreds digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 259380.\nAnswer: 518760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 3*p + 99069*y - 10 = 99065*y, 5*p = -9*y - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 408*o**4 - o**3 - 3*o**2 - 4319 wrt o?\nAnswer: 1632*o**3 - 3*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/6394864 and 125\/42.\nAnswer: 19184592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/22 in 0.2, -2\/17, 27\/7, -0.2, -17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9612974l?\nAnswer: 961.2974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5502, 10988, 16474?\n\"Answer: 5486*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 10*n**2 + 8*n - 4. Let y be a(-9). Let t(m) = -m + 3. Let z be t(5). Let i be 15\/3*z\/(-5). Solve 18 = -y*r - i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7567?\nAnswer: 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1338786\/23 > -58209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 122.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/34 > -3\/1612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 697824\nAnswer: 5\/697824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 812490 and 6570.\nAnswer: 2437470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1085*l + 11950. Let g be m(11). Solve g*c + 24*c + 234 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or 2.64?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10110110001110001011 (base 2) to base 13\nAnswer: 20195a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 - -91.0844. What is g rounded to 3 decimal places?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 + 6*d. Let a be f(6). Suppose a = 3*b + b. Solve -3*k - k + 20 = b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012112100000 (base 3) in base 7?\nAnswer: -5304531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 45.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1711\/40123?\nAnswer: -1711\/40123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.3. Let u be 2\/(-24) + 44\/(-48). What is the second smallest value in h, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 124499.78 and 0.16204.\nAnswer: 124499.94204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 less than -1343.078142377?\nAnswer: -1341.578142377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 - -0.13?\nAnswer: -166.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 10:46 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10074481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99462439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i - 8. Suppose 0 = 4*b - 48 + 8. Calculate the remainder when b is divided by c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 7, b: 3, l: 7, a: 2}. Give prob of sequence tt.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -179a + -1409?\nAnswer: -2ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/3 - 257514115*y\/3 + 171676070.\nAnswer: 5*(y - 51502821)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 260 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*h - 121 = 167, -5*p + 2*h = -276. Suppose 2*q + 54 - p = 0. Let m(u) = -4*u + 4*u - u**2 + 3*u - q. What is m(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78121 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5 = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 8*k**2 + 18*k - 23. Let p be o(-10). Sort p, 141, 2 in increasing order.\nAnswer: p, 2, 141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -230*u + 468*u - 234*u + 5, -3*u - 87 = 24*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65091883543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -94 + 108*p + 89 + 117*p - 334*p + 105*p. Let u(y) = 6 - y - y + 5*y. Calculate 3*u(x) + 4*v(x).\nAnswer: -7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153870 divided by -5.\nAnswer: 30774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 3*r - 1. Let y(p) = -4*p**3 - 38*p**2 + 87*p - 3. Let x(d) = 6*l(d) - 2*y(d). Find a, given that x(a) = 0.\nAnswer: 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 3:35 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*v - 39037 = -33535 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -2*k + 28*k. Suppose 5*u = k*n + 1548265 + 221725, 2949996 = -5*n + 2*u. Round n to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 - -186.5. What is the third biggest value in v, -4, 2, 97?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320836.\nAnswer: 2, 3, 7, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(110)\/sqrt(44))\/(sqrt(45)\/sqrt(36)).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) -1072 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 3799490573*m - 3799490573*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 4. Let m = b - -11. Suppose -66 - 242 = -m*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75971\/5 - -15195. Factor -i*s**3 - 6*s**2 + 0 + 16\/5*s.\nAnswer: -2*s*(s + 8)*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Solve r*u - u - 2*c + 2 = 0, 4*u = -4*c - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 355*l**4 - 4792*l. Let x(h) = 2*h**2. Calculate x(p(q)).\nAnswer: 36295200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 13*u**2 + 38*u - 35. Let s be x(15). What is the greatest common factor of s and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*z = 183*z - 2*j - 92, 3*j + 208 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 3:34 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 6237\/1409?\nAnswer: 6237\/1409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/288135 and 43\/5055.\nAnswer: 288135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/84 and -2 - (-12)\/7 - 99\/630?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1374217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**4\/5 + 3196*l**3 + 46323164*l**2\/5 + 26443369572*l\/5 + 52701574392\/5 = 0.\nAnswer: -1041, -2, 6079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, r: 7, k: 5}. Give prob of picking 2 r and 1 t.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - f**2 + 2*f**2 + 0*f**2 - 5*f**2 + 4*f**2 + 3 - 3 - 2*f**2 + (f - f + 2*f)*(3 - 2*f - 3) - 4*f**2 + 3*f**2 + 2*f**2 - 3*f**2 + f**2 - 2*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24295 is divided by 1212?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.142 - 0.142. Let w be (-16)\/32 - 2\/(-8). Which is the third smallest value? (a) 1 (b) 0.4 (c) w (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23083850 to the nearest one hundred thousand.\nAnswer: 23100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 3*f**2 - 3*f - 1. Let c be d(-1). Let b be (3\/(-3))\/(-2) - (1 - c). Suppose 0*m**3 - 4\/3*m - b - m**2 + 1\/6*m**4 = 0. What is m?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - 39.8. Let k = 90.331 + n. Let s = k + -0.031. Which is the second smallest value? (a) s (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2, -x - 3*x - h = -19. Let d = -197 - -3741\/19. Let a = -7 + 3. What is the second biggest value in x, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*r + 24. Suppose -5*i - t + 10 = 0, -2*i + 8*t - 10*t = -r. Solve -5*n + 18 = -q - 0, -i*q - 2*n = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 5 + 2*l**2 + 4 - 1. Give r(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 928*y**2 - 4*y.\nAnswer: 4*y*(232*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1186653174.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 96 = -24*k, 0 = 4*j + 5*k - 4*k + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -165\/344?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -10, 4\/3, -0.5, 18\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 6996?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 14) in base 9?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1274 greater than or equal to -1273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -13*w**8\/112 - 5*w**5\/12 + 15*w**2 + 29. Let v(n) be the second derivative of z(n). Find the third derivative of v(f) wrt f.\nAnswer: -2340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400723.7 minus 8?\nAnswer: -400731.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3 (c) -3.7 (d) -2\/3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16838608.00818 - 16838867. Let n = r - -259. Round n to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-6)*4\/5*1440\/384?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 25*u**2 - u - 1. Let w be a(-1). Suppose 5*p = -5*p + 2*p. Let z be (p - 9*-1) + 16\/(-4). Solve 0*d - w = -z*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81951.3*-5.\nAnswer: 409756.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111101110001010 (base 2) to base 15.\nAnswer: 66b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + -5 + (7 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8.2. Let a = -27 - -40. Let d be (-76)\/a - (-26)\/(-169). What is the nearest to d in 1, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40830*i**3 + 97517.\nAnswer: 122490*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 18. Let a be 5 - (1 + 3) - -5. Solve 5*v = l*v + a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 294 - 325 = -4*f, -3*f = 2*h - 1248. Let c = -2 - -8. What is the hundreds digit of (h\/(-6))\/((-3)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 60. Let c be s(-20). Is 9652\/4 + (c - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:56 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*g + 19, -3*l = 2*l - 3*g. Solve 5*h + 5*w + 9 + 11 = 0, 2 = -l*h - w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10 + ((-167391)\/315)\/(1604\/(-30)) and ((-918)\/(-360))\/((-24)\/(-50)).\nAnswer: 6416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22250000 rounded to the nearest one hundred thousand?\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2948251 + -820974. Let a = v - -2399225. Round a to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/30 - w**4\/4 - 2*w**3\/3 + 12*w**2. Let d(b) = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*m + 30 - 6 = 0, 3*p - 18 = m. Suppose 3 = 2*b + 13. Let x = b + p. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - i = -0*g - 65, 0 = i + 1. Let b(h) = -h**2 + 2. Let q be b(-5). Let c = q - g. What is the greatest common divisor of c and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.147? (a) -0.11 (b) -1 (c) -33 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*t - 29950*h**3 + 25*h*t + 6*h + 186*t wrt h.\nAnswer: 6*h*t - 179700*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.116388265 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516 = 281*l - 6750 + 803 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8561*a**2 - 24 - a**4 + 8561*a**2 - 7*a**3 as s*a + r*a**3 + p*a**2 + w*a**4 + l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6893*h**5 - 2*h**2 - 1612*h?\nAnswer: 137860*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1772 = -4*v, -z - 4*v + 1812 = 3*z. Let h be (-10)\/55 + z\/44. Solve 2*r + 4*k - h = 0, r - 2*k + 7 = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 19 = 2*m, a + 4*m + 3 + 14 = 0. Let t = -165.9 + 156. Let u = -10 - t. Is a != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -544 - -548. Solve 4*t - 2*t + r = 2*w, w = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1236 from -6.8.\nAnswer: -1242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943, -3794, -8555, -15226, -23807, -34298?\nAnswer: -46699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420878.\nAnswer: 2, 1210439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a150ab1 + 1?\nAnswer: a150ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (56\/10)\/((-10)\/(-25)). Let t = 21 - y. Suppose 2*l - t*l = -45. Solve -3*o + 0*o = -l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-36)\/(-9) - (1 + -118). Calculate the greatest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*y**3 - 8*y**2 + 819*y wrt y.\nAnswer: -390*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - 15?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiziiiiiiiiiiiz. What is prob of picking 3 i and 1 z?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-74)*(-7)\/(-14). Let p = -181 - -180. Are p and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -5)\/2 - -12185. Let k = d + -19187. Round k to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135*o + 401*o = -21504 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 + 345*g**3 + 112941*g**2 + 11905263*g.\nAnswer: g*(g + 267)**2*(g + 501)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001406718 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puk when three letters picked without replacement from kppukpupkpu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1426 = 2*c + c, 1431 = 3*c + 3*u. Suppose 2362 = 5*z + c. Let s = z - 4133\/11. Put s, -2, 3 in increasing order.\nAnswer: -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.3 + -48.3. Let q = c - -43.00023. What is q rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1424 and 6598?\nAnswer: 4697776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 657\/5, 1\/2, -2\/3, 10 in decreasing order.\nAnswer: 657\/5, 10, 1\/2, 1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 + 4*f**4 - 5*f**4)*(-251 + 410 + 475).\nAnswer: 1268*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 76, 126, 182, 244, 312?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(21)\/sqrt(7))**2*3.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6075 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-7 - -10)) + -9 + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = -0. Let t be 55\/15 + v\/3. Suppose -t*m - 9 = 0, -3*z + m = -4*m - 12. Which is the closest to -0.1? (a) -3 (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 318424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1523870 - 50826*f - 1523870)*(2*f**2 - 2*f + 2*f).\nAnswer: -101652*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 4*x - 3. Suppose 4*q - q = -9. Let v be y(q). Suppose v = -n + 7 - 0. Solve 0*a + 2*a = -2*r + 16, -2*r = -a - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-18)*-1 - (-400)\/6. Suppose -2*c + 4 = -3*c. Let q = s + c. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -1\/13 (c) -23.5 (d) 3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11*k*k**(-1))\/((k**(2\/33)*k)\/(((((k\/k**(-2\/3))\/k)\/k)\/k)\/k)) assuming k is positive.\nAnswer: k**(251\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 567612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssoosssssss. Give prob of sequence os.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-6 + 6 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/255 and -7.86 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/5 + 576*n**4\/5 - 45224*n**3\/5 + 529212*n**2\/5 - 220022*n\/5 - 2927964\/5 = 0. Calculate n.\nAnswer: -2, 3, 13, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3 - 7. Suppose 0 = 3*c + 2*c, c = -3*r + 15. Suppose r = 2*j + 5*g - 7, 0 = -4*j - 4*g. Sort k, j, 0 in decreasing order.\nAnswer: 0, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jui when three letters picked without replacement from bccuzji?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c**(-4)\/c)\/((c*c**(-2\/9)*c*c)\/c**(-1\/2)) assuming c is positive.\nAnswer: c**(-185\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 52*o - 20. Let m be g(-17). Is (-1)\/2*1\/(m\/14358) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 8.7. Let d = -3.3 - m. Let i = 0.5 - -0.5. Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*u + 12*u + 35. Solve -5*c = -2*c - u*b + 17, 19 = -5*c - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*w + 20. Solve -o + 5*o = 3*j + 26, 0 = -j + w*o - 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 6 + 6, 2*r - 7 = -i. Sort r, 1\/3, 0.\nAnswer: 0, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 23, 3 in decreasing order.\nAnswer: 23, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1362375 - -746?\nAnswer: 1363343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 9:01 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 201889*q**3 + 5*q**2 - 4*q**2 + 100935*q**3 + 100938*q**3.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) -9\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/4)\/((-2)\/6). Let i(v) = -5*v + 2. Let l(d) = -16*d + 5. Let c(t) = 7*i(t) - 2*l(t). What is the smallest common multiple of 6 and c(j)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10834 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 12, 2, 5, -4.\nAnswer: -6, -4, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -0.09?\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {f: 4, o: 1, g: 3, p: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/95418 and -1\/2356.\nAnswer: 190836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.314856 centuries?\nAnswer: 0.4314856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ndnnnndnnn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 4*z**2 - 5*z + 4. Let a be g(-5). Suppose k = -5*m + 33, -a*k + k + 29 = 5*m. Suppose -m = -r - 3, 0 = 3*c - 2*r - 10. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-12675)*-39*(-10)\/(-4))\/(2\/94)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8)*4\/(1 - 2). Is -3\/14 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 24 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = -r - 0*g, 0 = 2*r - 3*g - 4. Let j be (-6)\/10 - r\/5. Let p be (429\/6)\/(j\/(-2)). Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -89 (b) 1.2 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -181*(-4 - -5)\/(-1). Is z bigger than 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50a42 (base 11) in base 16?\nAnswer: -122dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177065 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40994824*r**3*w**2 - 12093511*r**3*w - r**2*w**3 + 2*r*w + r wrt w?\nAnswer: -81989648*r**3 - 6*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/4 + 1335*c**4\/4 - 4242*c**3 + 12960*c**2 = 0. Calculate c.\nAnswer: 0, 5, 8, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0 + (-1 - 5 + 4)*(-z - 4*z + 4*z) + 33 - 33 - 8*z)*(2 + 8 - 2 + (-3 + 2 + 3)*(0 + 1 + 1)).\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 316*t - 9369. Let h be k(30). Let p = 3 - 3. Suppose r - 6*r + 185 = p. Calculate the highest common factor of h and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -133*c**3 + 3856*c**2 - 33*c + 1794. Give y(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(500)*2)**2 + sqrt(500) + 0 - (sqrt(500)*6 + -1))*1.\nAnswer: -150*sqrt(5) + 6003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1\/(f*f\/((f*f*f**(-2\/7)\/f)\/f))*((f*f**(1\/14))\/f)\/(f*f**(-2\/17)\/f*f) assuming f is positive.\nAnswer: f**(-499\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*j)*(-34*j + 1056*j + 201*j + (-j + 4*j - 2*j)*(3 + 1 - 2) + 0*j - j + 2*j).\nAnswer: -3678*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (116908\/33)\/2*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 915542399.\nAnswer: 915542404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 2*u**2 + 9*u - 52. Let h be d(4). Which is greater: 1367\/5 or h?\nAnswer: 1367\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**6\/15 + o**4\/2 - 2*o**3\/3 - 4*o + 1. Let t(p) be the first derivative of y(p). Factor t(g).\nAnswer: -2*g*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 7:21 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22008 = 2*h - 4*q, -q + 4*q + 43994 = -4*h. Let y be (-4)\/(-74) + h\/(-1850). Solve y*t = -2*t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:54 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 530 = 3*j - 522, 2*y - 2*j - 16 = 0. Sort 0, y, -49.\nAnswer: -49, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136524 divided by -14\nAnswer: 68262\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Let g be (25 + -1 + t)*1. Let u = 36 - g. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/((-4)\/(-18)). Let z be 16\/u*(-1)\/12. What is the third biggest value in z, -2\/17, 0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1939953 = 153*p + 1931691 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and -2204.\nAnswer: -68324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n - 3*d = 117, 3*d = -n - 47. Let v be (n\/(-14))\/(4\/8). Suppose -v*p - 11 + 51 = 0. Solve 4*g = 4*b + 4, -p*b + 6*b = -g + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/77316 and 19\/85?\nAnswer: 386580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1318236518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 1. Let q(t) = -t. Let y(u) = -u + 9. Let r be y(8). Let v(h) = r*z(h) + q(h). What are the prime factors of v(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aaa81 (base 11) to base 7.\nAnswer: -1240305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3674752 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*x = 1, -c + 5*x = 3*c - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1522\/1137 + -2\/379. Suppose -b - 3 = -0. What is the second smallest value in d, b, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41 + 23*d - 13 + 65*d + 29 wrt d.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88667 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -320\/7 + 46. Let f = 69\/50 + 3\/25. Which is the third biggest value? (a) f (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6\/11))\/(f*f**7))\/(((f**(2\/21)*f)\/f)\/(f**(1\/3)*f)) assuming f is positive.\nAnswer: f**(-1457\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27731510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*g + 2 = -0*g, 11 = 3*z - g. Suppose 0*t = z*t, -4*v = -4*t - 16. Let y(i) = -i**2 + 5*i + 1. What is the units digit of y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 142\/(-14) - (-1)\/7. Let v = u - -10. Sort 2, -2, v in ascending order.\nAnswer: -2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-2) + 954\/53. Let a be (-6)\/(-21) - (-908)\/7. Calculate the greatest common divisor of x and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqeq when four letters picked without replacement from {k: 1, q: 10, e: 8}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*f + 48 + 58 = 0, 0 = 4*q + f - 219. Suppose j + 6 + 20 = 0. Let s = 48 + j. Calculate the highest common factor of s and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*w = -1 - 0, -3*r - 11 = 5*w. What is the least common multiple of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {o: 1, c: 1, i: 6, l: 2, j: 4, h: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*f = 4*v - 4, 13 = 4*f - v. Suppose f*c + 94 = -1766. Round c to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54410 and 10740.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 10*p**2 + p + 5. Let w be s(10). What is the highest common divisor of w and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2651 - -1?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/2 + 1705*h\/2 - 6788 = 0 for h.\nAnswer: 8, 1697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*v + 80, 4*v - p - 70 = -3*p. Calculate the remainder when 46 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -335\/237 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - j - 4. Let m(v) = -44*v**2 + 44*v + 40. Determine -m(s) - 10*x(s).\nAnswer: 24*s**2 - 34*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1118006, 1, -1, 3, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h + 4*a - 4, h - 5 = -5*a. Suppose -4*f + h*p - p = -531, 0 = 3*p + 3. What is the greatest common divisor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7)*h**(1\/3) assuming h is positive.\nAnswer: h**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -22. Let x = 3 + d. Solve x*v - 4 = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, 15, 2\/5 in ascending order.\nAnswer: -6, 2\/5, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 516*y - 2. Let b be g(2). Suppose -b = -3*o + 4*m, -5*o + 1697 + 48 = -m. Suppose 5*l - o = 920. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249836337?\nAnswer: 3, 27759593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 445261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7942, -15965, -24068, -32293, -40682?\n\"Answer: -7*q**3 + 2*q**2 - 7980*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 10*l + 2. Let n be g(-10). Let r(p) = -p**3 + p. Determine r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-3.5137640509\nAnswer: -1.5137640509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 3. Let u be c(-9). Let f be 2 + -3 + -2 + u. Let o(t) = -t**3 + 3*t**2 + t - 1. Determine o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.11 + -0.11. Let v = a - 51. Is 0.1 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 1)*(4*j**4 - 4*j**4 - j**4) + 0*j**3 + 2*j**4 + 0*j**3 + 2*j**4 + 4*j**4 - 5*j**4 - 76 + 76 + 3*j**4)*(-2 + 1 + 2 - 2*j).\nAnswer: -14*j**5 + 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 + -140?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (25 + -6) - (-60 + 60)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 2*n**2 + 45*n + 0*n**2 - 14 + 31*n to the form v + y*n**2 + i*n and give i.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309730 is divided by 90?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 17587 in increasing order.\nAnswer: -8, 2, 17587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-7))*x*(x\/x**(-5\/2))\/x)\/(x*x**(-3)*x*x\/(x**(-3\/8)\/x)) assuming x is positive.\nAnswer: x**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(1872) + 3)**2*6.\nAnswer: 5184*sqrt(13) + 68688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*w**(7\/6)\/w)\/((w\/(w**(-1)\/w))\/w**(1\/8)) assuming w is positive.\nAnswer: w**(-373\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171817?\nAnswer: 19, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15183, 5295, -21547, -73821, -160005, -288577?\n\"Answer: -1413*y**3 + y**2 + 16595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 8597390 and 8597423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*y - 11 = -w, 2*y = -3*w + 26. Suppose 2*z + 0 - 6 = 0. Suppose w - 6 = z*r. Solve r*u - 2*b - 7 = -u, 2 = -2*u - 2*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -1 + -3 + sqrt(539) + -1*sqrt(539)*3 - 5*(-3 + 0 + sqrt(539)))*5)**2.\nAnswer: -23100*sqrt(11) + 488125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pulu when four letters picked without replacement from uspvnlup.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*o + 7150 - 65568, 0 = 4*k - o - 58394. What is k rounded to the nearest 100?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550.54 rounded to the nearest integer?\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.808542479 + -0.74682293. Let i = 24.938289451 + j. Let z = i + -25. What is z rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (8 + 39) - (-15 - ((-15 - 13) + 10)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/56752028 and -61\/8.\nAnswer: 113504056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27467.92 kilometers in meters?\nAnswer: 27467920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8777624, 17555250, 26332876, 35110502?\n\"Answer: 8777626*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 58. What are the prime factors of w(7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 2*h**2 + 1 + 22*h**3 - 2*h - 5*h**3 + h**3. List the prime factors of y(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-12)*8\/(-3). Suppose -4*n + 20 = -3*m, -u*n - m - 10 = -7*n. Suppose -z + 51 = n*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*s - 23 = 0, -2*p + 0*s = -3*s - 7. Suppose -p*k - 72 + 192 = 0. Calculate the greatest common divisor of k and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 0.894.\nAnswer: 2.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1227 and 49\/9276?\nAnswer: 3793884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:04 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -12, -5, 2?\n\"Answer: 7*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 2*c)*(452 - 452 + 29*c).\nAnswer: 58*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (1 + -6)) + -3 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/1)\/(15\/(-15)*-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 7*o**2 + 2*o - 14. Let r be y(7). Suppose 5*b - 7*b = r. Suppose b = 2*j - 20 - 4. Solve -j = -i + 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6846, -12452, -18060, -23670, -29282?\nAnswer: -34896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {p: 3, z: 2, g: 4, u: 6, v: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 64. What is the remainder when o is divided by 327\/15 - 2\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6572 - -0.3072. What is s rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.057 and 54107?\nAnswer: 54106.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -17. What is the second smallest value in -0.4, -6\/7, s?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135805390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1663*n + 132 + 132 - 392 - 1662*n + 128.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 1024, -2, -5, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 28 + -21 + 183*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2342857*t + 1. Let h be q(-7). What is h rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 2*q - 1. Suppose 0 - 1 = x. Let z be t(x). Let w be (0 + 0 - 2) + 4. Solve 0 = -w*j + j + 4*f + 5, z = 3*j + 4*f + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j. Let s(q) = -3*q - q**2 - 7 + j*q - 5*q. Let f be s(-7). Solve -l - 2 + f = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 + 0*q**2 + 3*q**2 + 5*q**3 - 8*q**2. Let w(j) = -2*j**3 + 4*j**2. Let r(v) = 4*p(v) + 9*w(v). Let f be r(1). Does f = 13\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 2 = 3*v - 3*o, -2*v - 3*o = -2. Suppose h + i - 19 = -5, v*i = 2*h - 22. What is the highest common factor of 26 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -74 + 24*t + 153 - 82 as f*t + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 998 + -425. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s. Let z(u) = -30*u. Let w = -50 + 85. Let a(g) = w*t(g) - 6*z(g). Let y(x) = -2*x. Give y(a(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6216, -5, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1920\/432 + (-4)\/(-1)*-1\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -116, 13338, 5, 0 in ascending order.\nAnswer: -116, -5, 0, 1, 5, 13338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 0 + -1 + -2 + 49 + (-28 - 29)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -1a?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyyy when four letters picked without replacement from {n: 4, u: 4, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (29\/13282)\/(2\/8). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1804*r**2 - 12*r - 6. Let n(z) = 541198*z**2 - 3596*z - 1798. Determine 3*n(l) - 899*s(l).\nAnswer: 1798*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2112 divided by 24\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-4) + (-4)\/(-38) + (17600\/(-2375))\/2. Let i be 91*1 + 0\/1. Is i >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*a - 89, -4*v = -2*a - v + 29. Let w = a - 7. Let i = 59 - 35. Calculate the highest common divisor of i and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1929632 nanograms in kilograms?\nAnswer: 0.0000000000001929632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*i**2 + i**2 + 12*i**2.\nAnswer: -68*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + -32. Let i = 132 + g. Sort 3, -67, i in descending order.\nAnswer: i, 3, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7233 - -72257\/10. Calculate the common denominator of a and -7\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + x + 4 + 2, f - 4*x + 12 = 0. Let u be -6*((-38)\/f - 2). Let v = 134\/3 + u. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.94 - -32. Put y, 4, 1\/2, -2\/3 in descending order.\nAnswer: 4, 1\/2, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 0.689680543667\nAnswer: -15.689680543667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3450.99 - 3451. Which is the smallest value? (a) 1 (b) -1\/2 (c) -2\/145 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93734 is divided by 1338?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c + 0*c - 3*c)*(3 + 2 - 3) - c - 2*c + c)*(25*c**4 + 327*c**2 - 327*c**2).\nAnswer: -150*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26346451387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 8:34 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 - 84*w + 5292 = 0. What is w?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 4*x + x + x - 2*x + 2*x + (x + 1 - 1)*(1 + 2 - 4) + 5*x - 4*x + x - x - x + 0*x + 0*x + 0*x - 2*x + 5*x + 2*x - 6*x)*(4*x**2 - 7*x - x + 5*x).\nAnswer: -20*x**3 + 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 7*a - 1. Let j be h(-8). Let o(t) = -t**2 - 11*t + 6. Let g(m) = 3*m**2 + 23*m - 12. Let n(q) = 2*g(q) + 5*o(q). Calculate n(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 733 + 1470 - 737 - 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118530 + 27839. Let m = -5479309 + l. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdnrjrjnnjndjdrdnrjn. Give prob of picking 1 j, 1 d, and 1 n.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*d + 191*d = -459. What is the lowest common multiple of 204 and d?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - -2. Suppose -41 = 4*p - 49. Suppose -233 = -p*k - 5*l - 77, -212 = -3*k - 2*l. Calculate the remainder when k is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17) + 5)*-6.\nAnswer: -30 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.4023 + -0.4023. Sort -1, 87, o in descending order.\nAnswer: 87, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 5*x + 1. Determine f(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1614737\/145470 + 2\/14547. Calculate the common denominator of b and 5\/((-25)\/20) - 29\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -15. Suppose -h = -o - 8. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224130889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2621)\/3*(3 + -30)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m + 56*m - 1899463 = 53*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*w - 2314 = 172*w + 166*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -35. Let v be (-2)\/20*2 + (-19)\/q. What are the prime factors of 3 + (-3)\/12*v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19741*x**4 + 2*x**2 + x - 666 wrt x?\nAnswer: 473784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2921 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 115. Let y(f) = 63*f - 24. Let g be y(2). What is the greatest common factor of w and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24857747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -29*p**5\/10 + p**3\/6 - 4*p - 15. Suppose 4*f + 13 = -5*m, -f - 2*f = 6. Is 16 a factor of o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716*v - 4*f + 998 = -711*v, v + 2*f - 208 = 0. Calculate the remainder when v is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -1, -11, -25, -43?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/22152 and 81\/208?\nAnswer: 44304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5269 + 0.1269. Which is the smallest value? (a) 0.1 (b) 6\/59 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:25 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 10*n - 20 = 0. What is the units digit of (-2 + 18 - 2)\/((-2)\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(39\/26*(-2)\/27). Let y be (-4)\/(-5 + j\/(-3)). Suppose 0 = -y*c - 5*x + 390, -103 + 823 = 4*c - 5*x. List the prime factors of c.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4368 and 624?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*6*-1)\/(sqrt(1089)*-2*-3)*-1.\nAnswer: 3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 6 - 6)*(3*n + n - 2*n) + 0*n + 0*n - 2*n**4.\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - o**3 + o**3 + 5*o**3 - 6*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (4 + (-6 - 8) + 5)) + 3 + -1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:02 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 24 + 24 - 3*t + 4*t. Let h be 1 + -2 + 0 + 1. Let u be i(h). Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 4, 10\/49, 4\/5, -2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13*h - 741. Let a be q(-57). Solve 0 = -5*y - 5, -4*p - y + 6 + 13 = a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o + 6. Let w(h) = 7*h - 5. Let z(d) = 2*i(d) + 3*w(d). Determine z(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 9*y - 9. Let h be o(7). Suppose 2318*g + 2376 = 2327*g. Suppose -39 + g = h*b. Is 44 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*g - 8*g**2 - 8*g + 50*g wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i + 2*i - 6*i. Let c(o) = 3*o. Calculate c(j(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 171, 544, 1223, 2298, 3859, 5996, 8799?\nAnswer: 12358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 12*d**2 + 3*d**2 - 2*d**2 + 0*d + 0*d + (0*d + 0*d + 2*d)*(3 + 2*d - 3) + 3*d**2 + 2*d**2 - d**2 to j*d**2 + o*d + p and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + 4. Suppose o = 3, -4*t + 7*t - j*o - 663 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-20))\/(4002\/(-23345))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-232)\/14*(-1792)\/1536\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-127)\/(-635))\/(2\/6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12\/5)*m**(-11))\/(m*((m\/(m\/m**(7\/6)))\/m)\/m*m\/(m**(-7\/4)*m)) assuming m is positive.\nAnswer: m**(-919\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-704)\/(-6) + 32\/48 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2277, 4558, 6839, 9120, 11401, 13682?\nAnswer: 15963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -38*h**3 - 11*h**2 + 11*h + 11. Suppose 80 = -a + 76, -4*a + 6 = 2*m. Let u(s) = -13*s**3 - 4*s**2 + 4*s + 4. Determine m*u(p) - 4*t(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 70 = -h. Let u be (-4)\/18 - h\/9. Let g be (-2)\/u - 7\/60. Which is the third biggest value? (a) g (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 408631.5 decades?\nAnswer: 4086315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 39, 0.5, -4?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2861*f**4 - 18*f**3 + 241565*f**2 wrt f?\nAnswer: 68664*f - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -35, 41, -0.5, 2\/5, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65.41 - -0.2.\nAnswer: -65.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1 (c) -2\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 429142433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -249900 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -5*n**4\/6 + 194*n. Let k(r) be the first derivative of 16*r**3\/3 + 30. Determine k(h(w)).\nAnswer: 1600*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/56 - (-70)\/(-16). Let y = 0 - 0.4. What is the nearest to 0.1 in y, b, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36818, 34403, 31988, 29573?\nAnswer: 27158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -190*i**2. Let n(m) = 27*m. Give n(u(b)).\nAnswer: -5130*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9679\/922 - -1\/461. Let f = 10 - b. Suppose -4*k = 2*n - 6, -n + 5*k - 9 = -5*n. Is n < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c. Sort 6, 4, c in descending order.\nAnswer: 6, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -186*w**3 + 48*w**2 + 24*w - 48. Let i(h) = 2*h**2 + h - 2. Calculate -72*i(c) + 3*p(c).\nAnswer: -558*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s + 0*s)*(-2 + 2 - 3)*(0*s**2 + 0*s**2 + s**3).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*o = -65, -4*m - 4*o + 0*o = -80. Calculate the remainder when m is divided by 16 + (-8)\/(-4)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 3*i**5 - i**4\/4 + 43*i**3\/3 - 98. Find the third derivative of g(h) wrt h.\nAnswer: 360*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*g - 34225 = 0, -16*i + 21*i - 34265 = -3*g. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 1:57 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 88*w + 821. Determine t(30).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*-18*(-1)\/12\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121 less than or equal to 2122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2077 or -2078?\nAnswer: -2078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = q - 5, -4*q + 16 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5607344 divided by 2.\nAnswer: -2803672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5) - (-36289204)\/(-140). Let i = 127208 + b. Round i to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3098 divided by 1.\nAnswer: -3098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*y = -1364, -4*y = 4*k - 1017 - 343. What is the greatest common factor of 256 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 8.14253.\nAnswer: 9.14253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 4 + 2009*h**3 - 17 - 2012*h**3 - 1 to the form u*h**3 + w*h + n + l*h**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.991 + -0.009. Let g = q + 8.05. What is the closest to 0.1 in 0.2, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2064, 8243, 18542, 32961, 51500, 74159?\n\"Answer: 2060*o**2 - o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/3)\/(1\/(-20)). What are the prime factors of u*(-3 + (-12)\/(-16))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*r)\/(r*(((r*r*r**(-6))\/r*r)\/r)\/r)*r**(4\/9)*r**0 assuming r is positive.\nAnswer: r**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, j: 15}. What is prob of picking 1 n and 3 j?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 9. Let i be 38\/(-6) + 5\/15. Let a = d + i. Solve 0 = -2*h - a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 10 = 2*a. Suppose -2*o = 3*o - a*n - 275, 0 = -5*n - 10. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 6*y + 5*y + 8*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.378 and -5?\nAnswer: -6.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 14180 and 14181 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (-2 + sqrt(832)*-5)**2) + ((sqrt(104) + sqrt(104)*-1)*1 - sqrt(104))\/sqrt(8).\nAnswer: -20804 - 153*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose q*l = -l. Suppose a = 5 - l. Solve 0 = a*m + 14 + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/2)\/v)\/v**(-1\/3)*(v*v*(v\/v**(-1\/6))\/v*v)\/(v*v*(v**(2\/3)\/v)\/v*v))\/((v**(2\/5))**1*((v**(-4\/7)*v)\/v)\/v**(-4\/11)) assuming v is positive.\nAnswer: v**(2473\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 45\/(1\/2*3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*d = 43651, 4*m - 43631 = -14*d + 13*d. What are the prime factors of m?\nAnswer: 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(7\/3))\/s**(-2\/49))**(-12) assuming s is positive.\nAnswer: s**(-1984\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 3*h**2 + 55 - 6*h**2 - 60 - 2*h - h**4 in the form s*h**4 + z*h**3 + g*h**2 + x + c*h and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455 - -3068\/7. Let k = 965\/28 + j. What is the common denominator of -86\/21 and k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**(-6\/29)*j**4\/j**4)**(-20\/11) assuming j is positive.\nAnswer: j**(80\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10aa2 (base 15) to base 8\nAnswer: 147443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 117*c**3 + 744*c**2.\nAnswer: 3*c**2*(c + 8)*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.3, -3\/4, 935 in descending order.\nAnswer: 935, 2\/3, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4369 is divided by 61.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1306*f**2 - 72*f + 3. Let b(m) = 871*m**2 + 45*m - 2. Determine -5*a(d) - 8*b(d).\nAnswer: -438*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -157, -274, -419?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -e867?\nAnswer: e86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 509506*d**2 + 1765070*d wrt d.\nAnswer: 1019012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -6.8. Let g = t - 0.3. Put 0.1, -1\/7, g in descending order.\nAnswer: 0.1, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -2*v - n, -3*v - 100 = 7*n - 12*n. Let u be ((-9)\/(-7))\/(120\/v + 4). Factor -57\/8*l + 63\/8*l**2 + u + 3\/8*l**4 - 27\/8*l**3.\nAnswer: 3*(l - 6)*(l - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*i**5 + 3\/5 - 6\/5*i**3 + 6\/5*i**2 - 9\/5*i**4 + 9\/5*i.\nAnswer: -3*(i - 1)*(i + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -7, -4, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3\/3 + 5*p**2\/2 + 5*p - 2. Let s be r(-6). What is the greatest common divisor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 0.48 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134.468 + 135. Let n = m + -0.232. Let a = 0.12 + 4.88. Put n, 0.04, a in decreasing order.\nAnswer: a, n, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/120 + g**5\/60 - 10*g**3\/3 - 8*g**2. Let x be w(0). What are the prime factors of -8*(-5)\/(x\/(-7))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -9146*f**5\/3 - 27446*f**4\/3 - 9170*f**3\/3 + 27430*f**2\/3 + 18316*f\/3 + 16\/3 = 0.\nAnswer: -2, -1, -4\/4573, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3279 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Let w = 79158 + -79157.94. Put w, -1\/9, k, 1 in decreasing order.\nAnswer: k, 1, w, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 0.4 (c) -23 (d) 0.3 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(2\/9)))**(1\/14))**(-18\/11) assuming u is positive.\nAnswer: u**(2\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -3*k. Let i be 3\/k + (-49)\/(-35). Let 2\/9*s**i + 0 + 2\/9*s = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s + 5. Let z be b(0). Suppose 1694 = 3*w - 5*r + 489, z*w = -2*r + 1967. What are the prime factors of w?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m - 5*m)*(-3*m + 0*m + 0*m) + (-m + 0*m + 2*m)*(366 - 366 + 8*m).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129453336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 5:28 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.26 (c) 0 (d) -8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x, 2*g - 12 = -2*x. Calculate the remainder when (-76)\/g*(-6)\/4 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from yyyyiqiqyiqiqiy.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 313414 + 0?\nAnswer: 313414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1 + 0)*(-39 + 14070\/360).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -0.4, -0.57, 3, 0.3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.8 + 8. What is the closest to t in -2\/13, 5, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.01 - 0.01. Which is the biggest value? (a) -1\/3 (b) -1\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j = 454 + 2996 - 615 for j.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, h: 2}. What is prob of sequence hnh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63202571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 212*t**2 + 5*t + 5. Let o be s(-1). Suppose o = r + 9*b - 6*b, -5*r = -2*b - 1060. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/1 + 5 + -8. Suppose 2*t + 2 = -0, -q*x + 7 = 5*t. Let h be (-30)\/36 + (-1)\/x. Sort h, -5, -4 in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7561\/8 + -3779\/4. Which is the third smallest value? (a) v (b) 76 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**6\/75 - 3*z**5\/50 - 28*z + 1. Factor x(g).\nAnswer: 2*g**3*(g - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 11) to base 12.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8019\/7 - 21817\/21. Find k, given that 560*k + g + 1715\/3*k**3 + 980*k**2 = 0.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p = 2163*p - 37315 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 4*u + 2*u + (3 - 4 + 3)*(2 - 2 - u) + 4*u + u - 3*u - u + u - 2*u to o*u + p and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 4, d: 3}. Give prob of sequence ed.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516247 (base 8) to base 16.\nAnswer: 29ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0*f + 13 - 10*f + 7*f + 6*f. Is 13 a factor of h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/3 - 2002*w\/3 - 67828 = 0.\nAnswer: -93, 1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18960883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 13.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19757 = 256*i - 5643 + 1592 for i.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/(-663))\/((-7)\/(2275\/(-2175)))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*j = 916 - 232 + 1604 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 24 = 6*z. Suppose z = 5*c - 8. Suppose 0 = -c*n + 18 - 78. Does n = -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35044*c**5 + 2*c**3 + c**2 + 272891*c.\nAnswer: -700880*c**3 + 12*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (38 - 46).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -13*s - 84 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*2*sqrt(490))\/(4*sqrt(10)*2))\/(sqrt(63)*3 - sqrt(252)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4424 * 454\nAnswer: -2008496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f - 4*m, -f - m + 1 = 5. What is the remainder when (3 - 16\/f) + -2 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/16965)\/(5\/75*-3)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.47331*-13\nAnswer: 6.15303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90015627 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/5 + 2\/(-5). Suppose -m = -4*c + 4, m - 4 = -4*c - 0. Let x be m\/(-1)*(-1)\/(-2). Sort x, d, 2.\nAnswer: d, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -15.\nAnswer: -49\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -403, 1\/6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.2. Let l = 0.7 + -0.4. Let n = d + l. Is n < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*l**2 - 2*k**3 + 21*k**2*l**2*t - 2*k**2*l + 26*k**2*t wrt l?\nAnswer: -2*k**3 + 42*k**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2561620 (base 8) to base 9\nAnswer: 1306806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 11. Solve 5*i + 4*f - 11 = -0, 0 = 4*i + 2*f - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148524?\nAnswer: 2, 3, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 17. Suppose 0*s - 40 = -2*s. Let u be (-3 - (-13)\/4)\/(5\/s). Is u greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let l(i) = 2*i**2 + 16*i + 9. Let f(p) = p**2 + 8*p + 4. Let a(q) = -5*f(q) + 2*l(q). Let r be a(-8). Let t(k) = 8*k + 1. Give r*t(u) + 9*w(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**2*v**3 + 24*r**2*v**2 - 28*r**2*v + 237*r**2 + 10*r*v**3 + r*v**2 + 136*r - 68*v**3 wrt r?\nAnswer: -4*v**3 + 48*v**2 - 56*v + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from zxoouozxzzozozozo.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 3. Let m be o(0). Suppose -m*l = -5 - 1. What are the prime factors of (l + 2)*(-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17 = -3*d. Let r(f) = -6*f**2 + 20*f - 23. Suppose -q + 3*w = 9, -2*w - 3*w + 29 = -4*q. Let k(o) = -2*o**2 + 7*o - 8. Give d*k(v) + q*r(v).\nAnswer: 2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5105423 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 319*x = 314*x - 9, 14*i = -2*x - 162 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(-2\/81)\/(h**3\/(h\/(h**6\/h))))**43 assuming h is positive.\nAnswer: h**(-24467\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 12. Let b be f(-11). Suppose 5*r = 4*r - b. Which is greater: -2\/125 or r?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -4, 0, -3 in increasing order.\nAnswer: -4, -3, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + z + 0*z - z + 0*z + 2*z + (-5 + 5 + 2)*(0*z - z + 3*z) as k*z + c and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -657401233 - -3?\nAnswer: -657401230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (5 - 5 - 1)) + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u**4 - 35*u**3 + 612. Let i(q) = -35*q**4 + 105*q**3 - 1837. Let a(s) = 19*f(s) + 6*i(s). Differentiate a(v) wrt v.\nAnswer: -4*v**3 - 105*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o*o**(-9))\/o*o*o)))\/o**(2\/29) assuming o is positive.\nAnswer: o**(-205\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3228756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 31*z**4\/12 + 3*z**3\/2 + z**2\/2 + 3*z - 17. What are the prime factors of f(-4)?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 7200.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, -122, 1\/24, 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-450)\/100*(-288)\/(-54)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (12 - (-3 + (1 - -2) + 12 - -50)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 18 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(2\/19)\/(l**15\/l**(3\/10)) assuming l is positive.\nAnswer: l**(-2753\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2629 (base 11) to base 7.\nAnswer: 12653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10836 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 19*v - 3*q = -2, q = 4*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v + 10. Let b be a(-12). Suppose 3*y - t - 3*t = b, 4*y - 3*t - 180 = 0. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 4300 = -2084. What is the least common multiple of r and 228?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9771224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -a25 (base 11) in base 12?\nAnswer: -871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 4*z + z)*(0 + 2 - 1) + z - 1 + 1.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 25 = 2*c, 0*c + 3*c + 4*i = 20. Let h(y) be the second derivative of 0*y**4 + 1\/6*y**3 + 4*y + y**2 + c + 1\/20*y**5. Calculate h(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-408)\/(-36) - 13)*24\/(-10). Suppose 0 = -o*j - n + 209, -n + 65 = j - 5*n. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 24 + 38 - ((2 - 9) + -2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**2 + 0*q**5 + 8*q**3 - 68\/7*q**7 + 0*q**4 + 0*q**6 + 0*q - 69. Find the third derivative of z(t) wrt t.\nAnswer: -8160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5)*a)\/((a\/a**(1\/5))\/a))\/(a\/a**1*a\/(a\/a**(-5))) assuming a is positive.\nAnswer: a**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -316 + 544 - 4*x + x + 2*x in the form i + p*x and give i.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-6)\/72*-8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9242 + 9242.16. Which is the fourth biggest value? (a) -10 (b) k (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1695*y + 13270 - 99715 = 0 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -671157411 - 1?\nAnswer: -671157412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*o**2*q**3 - 10*o**2*q**2 + o**2*q + 38*o + 2*q**6 wrt q?\nAnswer: 654*o**2 + 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 324755706 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75\/((-22)\/(-2772)*21) and 2175.\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v + 1. Let m(q) = -11*q**2 - 6*q + 4. Determine -m(k) + 6*t(k).\nAnswer: 5*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 159947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2687, 16313, 29939, 43565, 57191?\nAnswer: 70817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3324 + -44420?\nAnswer: -41041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjwwwwwwwwwjwjw. Give prob of picking 2 j.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -656 (base 13) to base 10.\nAnswer: -1085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75513 greater than or equal to 0.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19791 - 19791 - 7*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2912549.01 to the nearest 10000.\nAnswer: -2910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64001.29ms to seconds.\nAnswer: 64.00129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 30121?\nAnswer: -18072.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -6.8.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/((d\/(d*d*d**(-2\/7)*d))\/d)*d**(-4\/5)*d\/((d*d**(-4)*d)\/d)*d)\/((d**(-3\/7)*d**(-2\/13))\/((d**(-1\/2)\/d)\/(d\/d**6))) assuming d is positive.\nAnswer: d**(29111\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-11\/3)*l)**(3\/38)*l**(-2\/9)*l**(1\/7) assuming l is positive.\nAnswer: l**(-158\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + z + 4*i = -4, -226*z - 235*z - 2*i - 94 = -465*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3416\/3843)\/(2\/36)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o - 6. Let p be -1 - (-3 + 1) - 30\/3. What is the remainder when y(-5) is divided by (p\/6)\/(6\/(-48))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) + 4*sqrt(95) + sqrt(95))*-5 + sqrt(95) + sqrt(95) + (sqrt(95)*-2*-3 - sqrt(95)))\/(sqrt(360)\/sqrt(8) + sqrt(720)*-3))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -3 - -2)\/(-6 + 7) + 156. Calculate the greatest common factor of o and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.4, 4, 0.2, 3 in ascending order.\nAnswer: 0, 0.2, 1.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 15. Let n be x(9). Suppose n*i + i - 200 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 37. Let r = -27.9926 + y. What is r rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/12 + 2*g**2. Let k be o(-1). What are the prime factors of (10\/4)\/((-1)\/k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + (-1)\/(-2). Suppose x = -2*d - 0*d - 2*i - 10, -d + 10 = -4*i. Let g be (-3)\/(-2)*d\/(-3). Let w(o) = 8*o**3 - o**2 + 2*o - 1. Calculate w(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:17 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*o - 15*o**2 + 39*o**2 + 13*o + o**3 - 56 + 10.\nAnswer: (o - 1)*(o + 2)*(o + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*i, -4*j - 37 + 5 = 4*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i. Let g(s) = 7*s. Let u(v) = 17*g(v) - 6*n(v). Let c(l) be the second derivative of 80*l**3\/3 - l**2 + 149*l - 18. What is u(c(k))?\nAnswer: -160*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 6*x**2 + 2*x + 8. Let w be k(-6). Let s be (13 - 3)\/((-2)\/w). Suppose 0 = -18*h + 12*h + 480. Calculate the highest common divisor of s and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 36 = p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -4, 2, -6, 42 in ascending order.\nAnswer: -6, -4, 2, 30, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214315430 (base 6) to base 11.\nAnswer: -21a0898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 34833, 1 in ascending order.\nAnswer: 1, 2, 3, 34833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11419 equal to -18482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3 + 174*w**2 - 1017*w + 1512 = 0.\nAnswer: 3, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u**2 + 5*u - 3. Is d(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9}. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**3 - b**3 - 54*b**3.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:05 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 20*o**2 - 19*o + 8. Let d be p(19). Suppose -3*u = 2*y + u - 34, 0 = -3*u + 15. Solve -3 = -d*v + y*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*v**2 + 0*v.\nAnswer: -4*v**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-1\/10)*f*f))\/f**(-1\/6))**(-47))**(-3\/26) assuming f is positive.\nAnswer: f**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*n**5 + 227685*n**4 - 86424876*n**3 - 1347501072*n**2 - 4658405280*n - 550371600 = 0 for n.\nAnswer: -10, -5, -6\/49, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 150.4 or -2?\nAnswer: 150.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 83 - 17 = 3*j, -2*l = 0. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**3 - 21*b**2 - 6*b + 2. Let o(g) = 5*g**3 - 19*g**2 - 6*g + 2. Let l(z) = 6*h(z) - 7*o(z). What is l(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551 - 27 = 58*i + 118 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3 + 4*d**2 + 48*d = 0. What is d?\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64105488 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.8 - 23.7853. What is w rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-14) + (-4)\/(-14). Let x(i) = -q - i + 5 - 2. Let j(u) = 1. Let w = 1 + -2. Calculate w*x(b) + 4*j(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 22*m - 20. Let f be y(1). Suppose -70*t + 32*t - 18 + 12*t**f + 35*t - 3*t**3 = 0. Calculate t.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a factor of 16624215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 322\/(-8) + (2 - (-7)\/(-4)). Let w = -35 - s. Solve 3*n = w*l + 1, 0*l = -2*n + l - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-21))\/((-10)\/210) + 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -12. What is the highest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*l + 565 = 35*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140041409?\nAnswer: 10691, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 28*d**3\/3 - 51*d**2\/2 + 17*d. Let b(s) = 11*s - 10. Let v(a) = 11*b(a) - 2*q(a). Find the first derivative of v(w) wrt w.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -57, -134, -241, -378?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 - 4. Let y be g(-3). Let a = 897 + -897. Solve 3*k - 20 = -y*d, 2*k + d - 5*d + 16 = a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 211 + 203 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 0 + 0. Let n(u) = 3*u + 0*u + u - 2*u. Determine m(n(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*k - 237 = -3*k, 0 = 5*k. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0*a**4 - 21*a + 0 - 1\/12*a**5 - 3*a**2 - 2\/3*a**3 + 1\/120*a**6. Let i(o) be the first derivative of y(o). What is i(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(65)\/sqrt(5) + sqrt(13)) - (sqrt(13) + (sqrt(13) - 3*(sqrt(39)\/sqrt(3))**2 - sqrt(13))).\nAnswer: -3*sqrt(13) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 79 + 1 + -2 is divided by (34\/(-102)*(-6)\/(-5))\/((-15)\/750).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -1068, -1614, -2164, -2718, -3276?\nAnswer: -3838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -423 - -1369. List the prime factors of j.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -19\/4. Let k = -0.24 + -4.76. Which is the nearest to d? (a) 1 (b) k (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/15 - 26\/165. Let l = 483.7 + -484. Which is the nearest to l? (a) -1\/6 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -248, -799 in ascending order.\nAnswer: -799, -248, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((8\/(-32))\/((-4)\/24))\/(402\/8). Sort 0.02, 1\/2, z in ascending order.\nAnswer: 0.02, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 10. Let b(k) = -60*k - 160. Let n(h) = -b(h) + 16*z(h). Let j(l) = 23*l**2 + 5*l - 5*l. What is n(j(u))?\nAnswer: -92*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) -0.4 (c) -6.11 (d) 0.5 (e) 0.2 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12)*-3 - -1. Factor 3*h**g - 2*h**5 - 3*h**5 - 2*h**3 + 4*h**5.\nAnswer: -h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-5))\/((-5)\/(-25)). Let j(g) = 0 - 5 - g - l + 2. What is the units digit of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*j**2*x**2 - 2*h*j*x + 49*h*x**2 - 12*j**2 - 3*j + 2*x**2 wrt h?\nAnswer: -2*j**2*x**2 - 2*j*x + 49*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y - 14468 = -10772 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -99557d + 3?\nAnswer: -99557a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + (-1 - 8) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3135 + 7528. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = -9. Let s be (-28)\/(-126) + 20\/m. Let w(z) = -15*z - 3. What is the remainder when 76 is divided by w(s)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-34)\/8)*3\/6\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203402\/17 + -484505179\/40494. What is the common denominator of r and -31\/3573?\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-68)\/4 - -37). Let s be ((-5)\/4)\/(2\/(-8)). Which is the nearest to -2\/9? (a) n (b) s (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 - -2.3. Let l = i - 3.5038. What is l rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-87464)\/(-28) + 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70b - 153b?\nAnswer: -204a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.94 and -6949.\nAnswer: 69073.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21580.\nAnswer: 2, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 0*j + 2*j)*(88 + 110*j - 88) - 4 - 3*j**2 + 4 as r + m*j**2 + y*j and give m.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d + 0*d + (6*d - 2*d - 2*d + (-5 + 3 + 3)*(-1 - d + 1) - 4*d + d + 5*d)*(0 + 4 - 3) + 1743*d - 3347 + 3347.\nAnswer: 1747*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 10*y + 27. Let w be p(4). Find the first derivative of -23*o**w + 23*o**3 - 22*o**4 - 26 + 3*o**4 wrt o.\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46180, -43730, -37082, -24136, -2792?\nAnswer: 29050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -15 (b) 2 (c) -3\/7 (d) 4 (e) -0.25162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1)*u*u*u**8*u*u)\/(u**(-1\/7)*u*u**(-5)\/u) assuming u is positive.\nAnswer: u**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 e when four letters picked without replacement from pedpeeeeeedeee.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32581, 32704, 32827, 32950, 33073?\nAnswer: 33196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 18. Let j(n) be the second derivative of 0*n**3 + 2*n - 1\/2*n**2 + 1\/10*n**h + 0*n**4 + 0. What is the first derivative of j(m) wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 + 6*a + 40. What is the hundreds digit of w(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 874186125 and 0.3.\nAnswer: 874186125.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -6.06?\nAnswer: -0.2424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 34*k - 91. Let q be b(31). Let z(c) = -9*c**3 - 2*c**2 + 2. Let d(v) = 143*v**3 + 33*v**2 - 33. Determine q*d(y) + 33*z(y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = p + 2 - 6, 4*p = 2*g + 16. Let f = 0 - g. Find the second derivative of 0*k**3 + k**4 + 2*k + f*k**3 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16342290?\nAnswer: 2, 3, 5, 60527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 12. Let d be (-2)\/6 + (-13)\/(-3). Suppose p = -d*a + 30 + 6. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s = 11*s + 224. Let b = 2 - 0. Suppose 4*p - b*p = 112. Calculate the greatest common factor of p and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.3 (b) -0.1 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4 - 4 - 15*j**2 - 19*j**2 + 27*j**2. Let x(m) be the first derivative of -m**3 - 1. What is x(s(a))?\nAnswer: -147*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*d + 9918 = 16808 - 10320 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 18*q**2 - 25*q - 46. Let s be c(-19). Suppose 5*y - s = -43. Solve 3*r - x + 5 = r, -x + 17 = -y*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.89 - -37.11. Let q = t - 37.99999969. What is q rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 3:20 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5353 and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*g + 2*i - 6865 = 61*g, 0 = g - 5*i - 1400. Which is smaller: g or 1374?\nAnswer: 1374","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/70 - 16\/35. Let p = -42\/5 + 472\/55. What is the nearest to 0 in p, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198755\/18 + 11047. Calculate the common denominator of f and -1 - (-12)\/3 - 258\/27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -7701246?\nAnswer: 3850623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/13)*s**(3\/2))**(-14\/13))**(3\/17) assuming s is positive.\nAnswer: s**(-1323\/2873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (183\/(-9) - -5)\/(1\/(-3)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.026 - 528.026. Let c = -529 - f. Let n = -0.73 + -0.17. What is the second biggest value in c, n, 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981779 a multiple of 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1021401 - 12?\nAnswer: 1021345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/5)\/(180\/150960*34*(-8)\/(-6))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28efbc (base 16) to base 10\nAnswer: 2682812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5 - 6*f**4 + 3547*f**3 - 67372*f**2 - 145404*f - 74480 = 0. What is f?\nAnswer: -70, -1, 28, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkdgagaje. Give prob of picking 2 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y. Let r(w) be the third derivative of 15*w**4\/8 + 85*w**3\/6 + 4123*w**2. Determine r(c(q)).\nAnswer: -45*q + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 6 + k - 1)*(0*k**4 + 7*k**4 - 3*k**4) + (-2 + 3 + 1)*(8*k**5 - 27*k**5 - k**5 + (4*k**4 - k**4 - 4*k**4)*(-3*k + 3*k - 2*k)).\nAnswer: -32*k**5 - 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, 41504 in increasing order.\nAnswer: -5, -4, 0, 41504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + 4 + sqrt(2057) + -3)**2.\nAnswer: 176*sqrt(17) + 2121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9449, -9446, -9441, -9434?\n\"Answer: f**2 - 9450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348 + 1013. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**2 - 8*i**2 + 10*i - 10*i.\nAnswer: -31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*s = 2602*s + 82730 + 33208 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 22*d**3 + 2*d**2 + 3*d - 4. Is g(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 658 - 630 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6325, -1\/3, 0.026?\nAnswer: -6325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3200 + 20?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 285.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12522, 12027, 10658, 7977, 3546?\nAnswer: -3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 746304.6 millilitres?\nAnswer: 746.3046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 39*i**3 + 522*i**2 - 1536*i + 1056.\nAnswer: -3*(i - 4)**2*(i - 1)*(i + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1273 + 1393. What is the least common multiple of 25 and b?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 107644 + 107644.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 530 = 5*b, o = -3*o + 3*b + 1008. Let h = -243 + o. Calculate the greatest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5581776 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3392*y - 30427. Give z(9).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*n + 251 = -147, -514 = -5*l + 3*n. Calculate the remainder when l is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 2, 287, -44, -1 in ascending order.\nAnswer: -44, -1, 0.21, 2, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-19)\/((-100)\/1500*(3 - 0)) is divided by 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a - 198 = 0. Let z(k) = 27*k + 680. Let r be z(-20). Let h = a - r. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -572*o**3 - o + 1059?\nAnswer: -3432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.14701 months in millennia?\nAnswer: 0.0064289175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*l - 28 = -6*o, 8 = 3*o + l. Suppose -2*y = -3*d + y + 15, -20 = -o*d + 3*y. Let h = -3 + d. Solve 2*v - n - 16 = h*n, 3 = v + n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 2*a**2 - 18*a + 22. Suppose -u = -15*u + 112. Is s(u) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 139242, 141940, 144638?\n\"Answer: 2698*a + 136544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 10*w**2 + 2*w + 4. Suppose y = -0*y + 15. Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -584 (base 13) to base 12.\nAnswer: -675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**3 - 2*c**2 + 3*c - 1. What is the tens digit of t(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 4. Let w be ((-1)\/h)\/(2\/6). Which is smaller: -1\/14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 787192?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2627943, -5255715, -7883487, -10511259?\n\"Answer: -2627772*o - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:51 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7 + 3 + 20*w to the form j*w + f and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379b (base 12) in base 3?\nAnswer: -1101002202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvfffqfvfk. What is prob of picking 1 f and 1 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2014998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11\/6, -1.\nAnswer: -11\/6, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o**(-2\/3)*o)\/o*o)\/o)\/o)\/(o**6\/o))\/(o\/o**(-1\/4))**(-8\/3) assuming o is positive.\nAnswer: o**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t**3 + 24437742*t**2 - 16588986869760*t + 11059313718624 = 0.\nAnswer: 2\/3, 1357652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 + -17.2. Let l = 53.80000257 - g. What is l rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3378604 is divided by 1126150?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4\/5 + 9912*p**3\/5 + 6100704*p**2\/5 - 49292408*p\/5 + 18540588 = 0.\nAnswer: -1243, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.398*3137\nAnswer: 7522.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-2*k + k + 0*k) - 7*k + 4*k + 12*k + (k - 2*k + 0*k)*(-2 + 0 + 4) - 2 - 2*k + 2 in the form q + f*k and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -23*u - 484. What is the remainder when 1162 is divided by k(-22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**3 + 2*v**2 - 1. Give s(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29298 - 703151\/24. Sort -149, -2\/21, i in ascending order.\nAnswer: -149, -2\/21, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.13 - 0.13. Let p = s - 6.6. Let t = 0.6002 + p. Round t to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from {i: 12, f: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*c - 1649 = 679 + 1639 - 271 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 99859*v**2 + 898812*v.\nAnswer: -v*(v - 9)*(v + 99868)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.91. Are -1 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.71596 centuries to decades.\nAnswer: 97.1596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*a - 13387135*a**3 - 767*a + 13387134*a**3 + 364*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 30*a + 85 + 46 = -229 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - u)*(-1 + 1 + 2*u)*(0 + 0 + 7).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/72*24\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143997090.\nAnswer: 2, 3, 5, 103, 46601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*l*y - 3950278*c**3*y**3 + 3*c**2*l*y**3 - 14877641*c*l*y**2 wrt y?\nAnswer: -23701668*c**3 + 18*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from ccjcccjckcckckc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:25 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.1, 0.347, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/18*(-27)\/(-90) and (39\/(-4))\/(235\/47)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 28 = -27*u + 29*u, -x - 35 = -3*u. What is the remainder when (-56)\/(-42)*909\/u is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*i - 4)*(3*i**2 - 5*i**2 + 4*i**2 + i**2 + 0*i**2 + 0*i**2 + (-i**2 - 2*i**2 + 0*i**2)*(4 + 3 - 4)).\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4257 + -1586. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38262*b**4 - 163*b**2 + 54*b + 2.\nAnswer: 918288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 + 52*a**3*m - 38*a**3*u + a**2*m + 4*a*m*u + 5*a*m - m*u - 6*u wrt a?\nAnswer: -24*a + 312*m - 228*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.048 - 0.048. Suppose -3 = 3*q, 4*q - 6 = -f + 3*q. Let t = 7 - f. Which is the nearest to t? (a) -4 (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61922*a**2*w - 1381*a**2 - 2 wrt w.\nAnswer: -61922*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3457 (b) -8 (c) 5 (d) -22 (e) 3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 3\/4 (b) 24 (c) -265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 8*j - 115. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 6*c**2 - 5*c - 4. Is g(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -195*v - 1825*v - 1936 + 3994 + 53*v wrt v?\nAnswer: -1967","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/((-793)\/260 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61073 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 146*t - 1024. What is y(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 13. What is the units digit of (-2)\/k - (-248)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23857 + 23890. Solve -p*t + 161 = -10*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41993\/5 at most as big as 8399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 10) in base 3?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -141727*b**2 - 719*b - 15367. Let n(o) = 30370*o**2 + 153*o + 3293. Let z(p) = -47*n(p) - 10*v(p). What is the second derivative of z(g) wrt g?\nAnswer: -20240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n - 369893755 - 18*n + 5*n**2 + 369893755 + 0*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3210)\/(-2889))\/(24\/(-162)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*v - 7 = 0, -18*a + 3*v + 14 = -20*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -37\/8?\nAnswer: -37\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8063125 and 160923?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + 3*y**2 + 4*y. Suppose -2*v - 13 = -24*c + 23*c, -2*c + 3*v + 20 = 0. Let h(p) = p**2. What is c*j(k) - 4*h(k)?\nAnswer: 2*k**3 - k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 819 - 559. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.8 - 7. Let y be 11\/13 + -2 - -1. Which is the second smallest value? (a) y (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-114)\/(-2))\/(-1))\/(6\/(-40)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/68400 and 187\/1072800?\nAnswer: 20383200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, -14, -0.295, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2989*i**2 + 491362 - 491362 as v + b*i + x*i**2 and give x.\nAnswer: 2989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212289*l**2 + 31*l + 1178?\nAnswer: -424578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99 or 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 19*q - 3938. Determine c(73).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-15)\/(-5))*(-3)\/225.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.941 + 0.059. Which is the nearest to m? (a) 1 (b) 3\/8 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9609089, -9609053, -9609015, -9608975, -9608933, -9608889?\n\"Answer: u**2 + 33*u - 9609123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 112?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-1)\/((-12)\/8). Let d = 6.4 + -6. Let h = d + -0.5. Which is the nearest to h? (a) -4 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 980016 and 576480.\nAnswer: 9800160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.275728988 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1914, 3786, 5590, 7308, 8922?\nAnswer: 10414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6612 and 1218.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 102?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 6*r - 4. Let b be m(-3). Suppose b*v - 40 + 10 = 0. What is the third derivative of 2*w**2 + w**4 - 5*w**2 + w**4 - v*w**4 wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from fwfwwwywywmwwwycmws?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -0.16?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11462\/7289 or 1?\nAnswer: 11462\/7289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 681866 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 21, -10298 in decreasing order.\nAnswer: 21, 0.6, -10298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.20152417 to three decimal places.\nAnswer: 2.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -9\/586 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**5\/20 + 4*q**4\/3 - 41*q**2\/2 - 23*q + 15. Let n(a) be the first derivative of d(a). Differentiate n(l) wrt l.\nAnswer: -3*l**2 + 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1 + 10 + -1. Let v be (-4)\/k + (-278)\/(-3). Suppose b = -3*b + v. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858*p**5 + 60069*p**4 - 1264464*p**3 + 7460697*p**2 - 13270728*p + 138384 = 0. Calculate p.\nAnswer: 3\/286, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/17608 and 21\/37417?\nAnswer: 299336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**3 - 209*g**2 + 5*g - 6. Let y(v) = 6*v**3 + 208*v**2 - 4*v + 5. Give -4*a(h) - 5*y(h).\nAnswer: -2*h**3 - 204*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(242) - sqrt(242)) + 0)**2 + sqrt(10)\/(sqrt(30)\/sqrt(6)*-1)*-6.\nAnswer: 6*sqrt(2) + 34848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 116*b - 48 = -j - 213*b + 327*b, 3*b - b - 4 = 0 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -8 - 37. Let h(k) = k**3 + 4*k**2 - 3*k + 8. Let x(b) = -b**3 - 4*b**2 + 2*b - 7. Let s(p) = g*h(p) + 6*x(p). What is s(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 820 from -19.\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 14.5. Let d = -2.05 + 0.05. Let w = 1.8 + d. Which is the closest to -1? (a) w (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1997 + -1830. What is the remainder when 472 is divided by z?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -37, 232, -17 in ascending order.\nAnswer: -37, -17, 16, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425) + 3 + -1*(sqrt(1700) + -1))**2.\nAnswer: -60*sqrt(17) + 461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*q + 10*q**2 - 5*q**2 + 5*q**2 - 200*q + 271*q in the form g*q + w*q**2 + u and give g.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.3. What is the second smallest value in -3, p, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*h**2 + 354*h**2 - 273*h**4 + 487*h**4 wrt h?\nAnswer: 5136*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 5, -4, -21, -52, -103, -180, -289?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**5 - 19*v**3 + 20*v + 1. Let n(r) = -2*r**5 + 10*r**3 - 10*r - 1. Let q(g) = 4*i(g) + 7*n(g). Find the second derivative of q(o) wrt o.\nAnswer: 40*o**3 - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -25, -29, -49, -91, -161, -265?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4.83, -6, -0.2, 2\/19?\nAnswer: -4.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84))\/sqrt(12) - sqrt(7) - (sqrt(7) + 0 + sqrt(252))**2)*-2.\nAnswer: 4*sqrt(7) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15684 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*b = 36, -b + 52 = 3*o + 4*b. Solve -3*l - 4*y + o = 0, -2*l - 25 = 3*l - 3*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 + 31*i**2 - 3*i + 212. Let l be n(-11). Put -2, -4, -31, 1, l in decreasing order.\nAnswer: l, 1, -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 6*o + 3. Let p = 711 + -1379. Let k = p - -663. Give a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-559)\/(-39) + -1)*(-4)\/50. What is the biggest value in 2, -2, -3\/2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 + -0.86?\nAnswer: 133.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.22631 rounded to three dps?\nAnswer: -1.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/90 - 968942\/48555?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1938 and 676770?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 - 4*w + 5. Let p(n) = 3*n**2 - 3*n + 4. What is 2*b(i) - 3*p(i)?\nAnswer: -i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33309 divided by -11\nAnswer: 33309\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*k - 412 = 0, 4 + 4 = -4*k. Find the common denominator of -83\/20 and (1\/(-3))\/(c\/(-629)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 265965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*d*v + 77*d + 156*v - 5 wrt d?\nAnswer: 7*v + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 372, 4, 5, 0, -4 in decreasing order.\nAnswer: 372, 5, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1)*8\/252.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365815*r + 93972 = -366579*r for r.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 6*z**2 - 13. Let n(c) = -c**3 + 6*c**2 - c - 12. Let l(x) = -6*n(x) + 5*p(x). Calculate the remainder when 33 is divided by l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-29)\/58*1\/(-2). Let d = -12 - -8. Let t = d + 4.2. What is the nearest to u in -3, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let r(i) = 5841*i - 26160. Determine x(r(p)).\nAnswer: -11682*p + 52320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3024 - 3*s - 1510 - 13*s**2 + 2*s - 1514 + 26*s**2.\nAnswer: 13*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1202 - 1202 - 5*v**2 to i + c*v**2 + j*v and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -108*j**2 - 15*j + 1. Let r(o) = -5*o**2. Determine u(r(c)).\nAnswer: -2700*c**4 + 75*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = r, -5*q = -2*r - q - 16. Sort 4, -1, r in ascending order.\nAnswer: -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i + 6*i - 10*i**3 + i**3. Suppose 19 = o - 4*q, -6*o + 59 = -3*q + 50. Give h(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226\/45 - -24\/5. Let s be (8\/14)\/((-38)\/14 - -3). What is the third smallest value in k, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(1 - 1 - 2) + 1 - 6 - 3)*(-63*b + 3*b**5 + 63*b).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Let y(o) = j*o - 5*o + 3*o. Let n(b) = -3*b. Determine n(y(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 785*i + 790*i + 20940 = 0, 5*i - 20940 = 5*g. Which is greater: g or -4190?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + a)*(2*a**2 - a**2 + 0*a**2) - 3 - 8*a**3 + 3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from cqccquqqqccqccc?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 1252 + 666. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 2 a when four letters picked without replacement from awaadwiwawwiaalaww.\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/302966 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39332243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -167131*d*p**2*x - 269*d*p*x**2 - 3*p**2*x - 3*p**2 - 20*p*x**2 - 4*p + 119*x**2 wrt d?\nAnswer: -167131*p**2*x - 269*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124.9 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 6. Let b be n(-6). Suppose -5*w - 17 = -4*u + 2*u, -3*w - 10 = -u. Is u at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13971294 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -5335575?\nAnswer: 5335575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 - r**2. Let v be l(1). What is the units digit of (-1)\/v - (-52)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 14*z**2 + 9*z + 21. Let k be u(-14). Let o be 7\/(k\/(-6))*60. What is the greatest common factor of o and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*h + 412 = 182*h + 45 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 - 112*m - 192 = 0.\nAnswer: -4, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.35 * 8\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f**3 + 2*f**2 + 3*f - 4. Let a be s(1). List the prime factors of (-2)\/(-6) + ((-272)\/a)\/(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -1 + (sqrt(11) + (sqrt(11)*-2 - sqrt(11)))*-3.\nAnswer: -1 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 - 1. Let t be (-15)\/(-9)*(1 + 2) - 0. Suppose 2*l - 1 = -t. Give m(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6*(-32 - -42). Suppose 3*m + y*v - 21215 = m, -3*m = -5*v - 31785. Round m to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -312102 and 0.5?\nAnswer: -156051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 129*-13.87\nAnswer: -1789.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q = 57*q + 8792. Let a = q - -7569. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -37?\nAnswer: 17\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y - 24. Let x be w(6). Suppose -5*p + 108 = 38. What is the remainder when (-2)\/6 + 652\/x is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 11. Let m(c) = c - 5. Give m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 55*a - 30. Give m(4).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 113178?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -1 - 1904\/204.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -17*l**7\/42 - 11*l**5\/10 - 481*l**3\/6 + 1172*l. Find the second derivative of r(a) wrt a.\nAnswer: -340*a**3 - 132*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.8 - -6. Which is the nearest to 4\/3? (a) -0.4 (b) h (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15762559*i**5 + 114*i**2 + 2249*i + 3 wrt i.\nAnswer: 945753540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59444899?\nAnswer: 59444899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31135317 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from ttooootooto?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.25*-158.665\nAnswer: -39.66625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2220 + -2149. Calculate the remainder when 780 is divided by c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)*i*(i**(-1\/3)\/i*i)\/i*i\/((i*i**(-1\/2))\/i)*(i**5\/i)\/i*i*((i*i**1)\/i)\/i**(-2\/3)*(i\/(i*i**(1\/4)))**(5\/12) assuming i is positive.\nAnswer: i**(347\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*2)\/(-2))\/(2\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiutouxtuxuiuox. What is prob of picking 1 i and 1 t?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 20 + -6 - 47?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336613 is divided by 33453.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*j**6 + j**4 - 168*j**2 - 1 wrt j?\nAnswer: 19800*j**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2381.\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**5 - 4*x**2 + 12*x. Let f(q) = 5*q**5 - 3*q**2 + 13*q. Let b(d) = -4*f(d) + 3*g(d). Find the second derivative of b(y) wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 24. Let i be l(-12). Suppose -6*f = -10*f + i. Suppose p = f*p + a - 7, -12 = -3*p + 2*a. Solve p = -d + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304374412.\nAnswer: 2, 76093603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1665997, -3332007, -4998017?\nAnswer: -6664027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, y: 1, a: 3, x: 6, p: 2, g: 2}. Give prob of sequence xyqx.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 29*k = 27*k - 37295, 0 = 3*l + k - 111871. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(1862))\/sqrt(2) + -2*sqrt(38)\/sqrt(2) + (5*sqrt(152)\/sqrt(4))\/(2*sqrt(72)))**2 + 5 + 0.\nAnswer: 158059\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 919338 and 210?\nAnswer: 4596690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*g + 422*g - 150*g - 1 - 148*g + 1.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 5468710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.084\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32040 and 91500?\nAnswer: 48861000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34859?\nAnswer: 11, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 657*j - 2*j**2 - 657*j + j**2. Let n(d) = 0*d - 3 + 0*d + d**2 - 3*d. Let s(r) = -2*r**2 + 4*r + 4. Let c(q) = -4*n(q) - 3*s(q). Determine b(c(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2 - 2*y + 2. Calculate the smallest common multiple of k(1) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 10*z**3\/3 + z**2\/2 + z - 3. Let q be k(-1). Let u = 18 - q. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 331 = -220. Suppose -3*d + 5*w = -z, 35 = 5*d + 2*w - 7*w. Solve -3*y - 9 = -d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 0.1 (c) 0.2471 (d) -5 (e) -5\/6 (f) -1 (g) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-4)*84020\/(-50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2063 - -4283. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0, -1\/5, 1, -0.13 in increasing order.\nAnswer: -1\/5, -0.13, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115695*z**3 + 87*z**2 + 27*z + 2 wrt z.\nAnswer: 694170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001317089533 rounded to five decimal places?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0265 - -881966?\nAnswer: 881966.0265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1891\/34486 - 8\/401. Let m(v) = 2*v - 17. Let a be m(8). Which is bigger: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217057877 a multiple of 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -464406, -1857484, -4179264, -7429746?\n\"Answer: -464351*m**2 - 25*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.6 - 49.8. What is the smallest value in 0.1, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(24)\/(-1*sqrt(3)))*5)**2 + -6*sqrt(192)*1 + sqrt(192).\nAnswer: -40*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 3*i**3 - 682*i + 225*i + 226*i + 231*i + 185 to the form h*i**3 + l*i**2 + y*i + j and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 262*v**3 - v**2 - 81. Let w(n) = 169*n**3 - n**2 - 53. Calculate 5*a(f) - 8*w(f).\nAnswer: -42*f**3 + 3*f**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45269?\nAnswer: 7, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 25*r - 4731. Give v(187).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 2045124?\nAnswer: 47037852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929515391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*h - 1333, 2*c + h = 2*h + 888. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*m - 99*m + 38*m + 30*m.\nAnswer: -112*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**2 + 3*t - 8. Let b = 781 - 780. Let f(c) be the third derivative of c**5\/60 - c**4\/24 + c**3\/6 + 2*c**2. What is b*l(h) + 5*f(h)?\nAnswer: -h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 452 + -453. Is o bigger than 2\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 22. Let h = m + 5.9. Let i = 8\/21 - -23\/105. Which is the nearest to -2\/5? (a) 0.1 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - 2*r + 5. Let i(o) = 2*o**2 + 2*o - 4. What is -5*i(u) - 4*j(u)?\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1596 - 35599445*w + 35599445*w + 752*w**3 wrt w.\nAnswer: 2256*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7442089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 3. Suppose 5*m + 4*u = -22, 3*u + 11 = -5*m - 8. What is c(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/20)\/((-1)\/10). Let n(k) = -5*k - 2*k + k**3 + s + 10*k - 4*k**2. Calculate the remainder when n(3) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.06, 7, 0.6, 0.3, 1, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from xsxvyxllx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 + 48*u - 2. Let z be n(-8). Let k be z - (6\/9 + 11\/(-3)). Solve -m + 2*i = -2, 4*m + 0*i = i + k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (1\/(-1))\/(-1). Let j be (-1)\/(w - 0)*3. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(4 - 3 + 1) - 3 + 2 + 0 + 3 - 2 - 5)*(0 + 0 + 3*c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j - 7*j + j - 15. Calculate the remainder when v(-11) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0057*2.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16346923 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 0.0582 (c) 38\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2324*h**3 + 696*h**3 + 1218*h**3.\nAnswer: 4238*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(6816\/18048*47).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -3*v**4\/4 - 11*v**3 + 171*v**2 - 648*v + 1701. Suppose i(r) = 0. Calculate r.\nAnswer: -18, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**5 + 5*z**3 - 4*z - 2 wrt z.\nAnswer: 20*z**3 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7. Let u(l) = l + 6. Let j(x) = -6*k(x) - 7*u(x). Let c be j(2). Let h = c + 44. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 22*x + 25. Suppose 3*y - y = -42. What is the remainder when 37\/4 + 2\/(-8) is divided by t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-99)\/(-12))*(-3)\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48110 is divided by 23234.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6 + 0 = 18. Let t(s) = -s**3 - 6*s**2 + 3*s + 30. Calculate t(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*y = -284, 0 = -j + 2*y + 129 + 14. Let t = 108 - 95. What is the remainder when j is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {t: 1, l: 3, i: 3, d: 2, z: 1, v: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psspvw. Give prob of sequence wpv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -20*h**2. Let f(x) be the first derivative of x**2 + 11. Calculate j(f(o)).\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*l**3 - 166*l**2 + 166*l**2 + 0 + 0 - l**3 + (0 - 1 + 0)*(2*l**3 - 6*l**3 + 2*l**3))*(1 + l**2 - 1).\nAnswer: 31*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(1*3*((sqrt(700) - (0 + -1 + sqrt(700))) + -4))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 431242924 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - 210. Let n(l) = -l**3 + 12*l**2 + 1 + 3*l**3 + 4 - l. Let c be n(z). What is the greatest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*q = 8, -r - 2*q - 2*q = -4. Suppose -4*c + r = -0. Let l be 15\/(-20) - c\/4. Sort l, -4, -2 in increasing order.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 0)*(-11)\/77. What is the nearest to 2\/7 in -4\/3, t, -4, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9171 is divided by 4413?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 86 = -2*g - 5*b, -46 = -3*g + 5*b. What is the remainder when 42 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -22*d - 67. Let t(q) = -21*q - 62. Give 5*m(b) - 6*t(b).\nAnswer: 16*b + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - y. Let b(a) = 3*a - 7. Let q be b(7). Let o be (-7)\/(q\/4) + 1. Calculate z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -23*c - 3. Let g(l) = 33*l + 792. Let t be g(-24). Give k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86*i**3\/7 + 599*i**2\/7 + 1011*i\/7 - 36\/7.\nAnswer: (i + 3)*(i + 4)*(86*i - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 19390000 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 2*h - 1. Let s(m) = 3*m + 93 - 93 + 3*m**2 - m**2. Let g(q) = -3*n(q) - 2*s(q). Find the first derivative of g(k) wrt k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let r(d) = 14*d - 6*d + 294 + 0*d + 110 - 4*d. Determine s(r(j)).\nAnswer: -32*j**2 - 6464*j - 326432","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-12) + 0)\/((-22)\/(-88)). Suppose -3*c - 37 = -5*y, 3*y - 3*c - 23 = -c. Solve y*p + d - 15 = 0, i*p + 0*d = -5*d - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**4 - 5*a**3 - 4 + 4 + 11*a - 12*a as s*a**2 + q*a**3 + h + v*a**4 + u*a and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115.9148 + -0.0852. Let m = k - -115.8. Let f = 1 + -0.5. Sort -5, -2, m, f in increasing order.\nAnswer: -5, -2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2412*l + 40997 = 5745*l - 48730 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369934718?\nAnswer: 2, 31, 41, 269, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 36. Suppose -4*c - c = l*c. Suppose 3*b + 2 - 5 = 0. Put b, 3, c in decreasing order.\nAnswer: 3, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 123\/(-12)) + (-3)\/12. Suppose n*w + 20 = 26*w. Determine v so that 0 + 3\/2*v + 3\/2*v**w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 0*t + 22 = 5*t, 0 = -4*s + 5*t - 28 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -1141?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146386784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3\/12 + 1. Factor l(m).\nAnswer: -m**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77756.2136616 and -0.005.\nAnswer: 77756.2086616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-10))\/(10485\/34950)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 3:31 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310 - -312. Let c(f) = -f - 2. Let b be c(-5). Suppose 4143 = r*d + d - 4*h, -b*h = d - 1394. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1574874 divided by 524958\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -407 divided by 11\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/((v*v*v**17)\/v))\/v)\/v**(-13)*(v*v\/v**5*v)**(-36) assuming v is positive.\nAnswer: v**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 6*b + 2. Suppose 11*q - 20 = q. Let x be q\/17 - 1320\/(-340). Calculate h(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 2, 4, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1586 and 16.\nAnswer: 12688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44023, 88116, 132211, 176308?\nAnswer: 220407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*f**4 - 2 + 0*f**4 - 2*f**4 + 7 wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -4 (c) 403.41 (d) 0.8 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**1*o**(-6)*(o**(1\/2)*o)**(-18)*(((o*o\/((((o*o**(-3))\/o)\/o)\/o*o)*o)\/o)\/(o**(-1\/5)\/o*o))\/(o\/o**7*o**(1\/3)) assuming o is positive.\nAnswer: o**(-287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2990*o + 71777. Determine d(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 869436*x - 510710120.\nAnswer: -4*(x - 216770)*(x - 589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i - 1. Let z be 38\/34 + -19*98\/15827. Let l(o) = o. Determine z*d(g) + 4*l(g).\nAnswer: -6*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1834625, -1834615, -1834601, -1834583?\n\"Answer: 2*i**2 + 4*i - 1834631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4214461 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17768 and 1514.\nAnswer: 13450376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 123?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 266, 275, 284, 293?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 20 = 14*p. What is the second derivative of -23*c + p*c**2 + 42*c - 24*c wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2, -50746, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 - -2)) + -33 + 45?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 2. Suppose -l - 6 + 24 = -3*r, -2*r = 4*l + 26. Let m(x) = -3*x + 6. Let q(c) = r*z(c) - 2*m(c). What are the prime factors of q(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1\/2 (c) 1569\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 11:20 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.381146 milligrams?\nAnswer: 0.000000006381146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, -4, 0 in increasing order.\nAnswer: -4, -1, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1771 and 2619470.\nAnswer: 28814170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:40 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94\/3*k - 44\/3*k**2 + 2\/3*k**3 - 16.\nAnswer: 2*(k - 24)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + p)*(-2*p + 0*p + 3*p + (-302 - 288 - 319)*(p - 2 + 2)).\nAnswer: 908*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c. Let s(j) = -2*j**2 + 1. Let d(i) = -8*i**2 + 5. Let z(t) = d(t) - 5*s(t). Calculate q(z(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -23*h**3 + h. Calculate n(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13686708 is divided by 96.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 862 - (-4 + -7 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -6, -1 in decreasing order.\nAnswer: 8, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -14347 not equal to -14346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (46\/(-3) + 3)*(-20 - 4). What is the third derivative of -295*j**4 - y*j**4 + 585*j**4 - 4*j**3 - 175*j**2 wrt j?\nAnswer: -144*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 - 4*g**2 + 121 - 16*g**2 as r*g + m*g**2 + h and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -6, -1, 22, -0.44, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11*l**2 + 57*l + 76. What is a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63.7 + 62.215. What is c rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243683, -243763, -243821, -243857, -243871, -243863?\nAnswer: -243833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2129 + -1905. Calculate the remainder when g is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -270?\nAnswer: 270.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -56. Suppose 0 = -x + 3*u - 2, -5*x - u - 26 = 0. What is the nearest to m in -2\/5, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 17*q**2 - 74*q + 96. Let z be h(-25). What is the highest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.491 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 359994039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - (3 + 2 + -4). Let k(a) = a**3 - 9*a**2 + 20*a - 9. What is the remainder when 129 is divided by k(h)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -180321 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-45)\/(-12))\/((-1)\/(-208)). Suppose 3*n = n + 10. Suppose -5*x + n*s = -0*s - o, -782 = -5*x + 4*s. List the prime factors of x.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**4\/18 - 2*a**3\/9 - 2*a**2 + 172. Factor n(u).\nAnswer: 2*u*(u - 6)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*(-5)\/(50\/(-5)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (63\/448)\/((-201)\/(-536)). Let -o*g**3 + 0 + 3\/4*g**2 + 0*g = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 7*s - 9*s. Let a = s - 50. Let y = -66 + 106. What is the highest common factor of y and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/60 + 5*m**4\/24 - 7*m**3\/3 + 1106*m**2. Determine g(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3092130 and 71\/1935.\nAnswer: 3092130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 109*r**3 - 47*r**2 - 2*r - 6. List the prime factors of n(5).\nAnswer: 2, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g - 29*g - 8*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a factor of 3778348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 216\/47 - 1249\/282. What is the closest to 2 in 13, 4\/3, 25, m?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 96006 - 18*f - 57*f - 95992 as g + t*f and give t.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuuz when four letters picked without replacement from uzuzuuuz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**25)\/((i*i\/(i**(5\/11)\/i*i)*i)\/i) assuming i is positive.\nAnswer: i**(269\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 3) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4, 3*c + 111 = -4*n - 43. What is the common denominator of 4556\/(-6460) - 6\/15 and (c\/7 - 0) + -1?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/7632 and 49\/6996?\nAnswer: 83952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d + 88 = 48*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 79*r**2 + 8*r + 1. Let t(s) = -53*s**2 - 5*s - 1. Let y(p) = -5*h(p) - 8*t(p). Let z be y(4). Suppose z = k - 12. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 2*v - 3. Let a be j(1). Solve a*w + 5*b = -w + 21, 5*w + 35 = 3*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-1)*x)*x)**26*(x\/(x\/(x*x*x**(-1\/2))))\/x**(-4) assuming x is positive.\nAnswer: x**(167\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - f - 4. Let l be w(-3). Suppose 22 = -136*z + 138*z + 4*s, 4*z + 5*s = 35. Solve -4*p - 2 = -4*d + 6, z*d - l = -3*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = 5*a - 32, t = -4*a + 28. Let y = -14 + t. Is y equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11099 divide 1063028923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 10*t - 8. Let m(d) = 12*d**3 - 2*d**2 + 2*d - 1. Let x be m(1). Let r be z(x). Let s be 16\/(-6)*6\/(-4). Put s, r, 5 in ascending order.\nAnswer: r, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 2*o**2)*(0*o - 4*o + o)*(0 + 0 + 4*o).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 6*f**2 - 7*f - 6. Let y = 2045 + -2049. Give x(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.684608kg to nanograms.\nAnswer: 9684608000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5117 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 0, 30, 84, 168, 288?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124732?\nAnswer: 2, 31183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 154060.8091 to the nearest one hundred.\nAnswer: 154100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 18*o**3 - o**4 + 3 + 10*o**3 - 29*o**3 - 6*o**2 to the form x*o**3 + t*o**4 + r*o + l + u*o**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1332*-0.3\nAnswer: 399.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 204b4 + -1436?\nAnswer: 1b07a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -260 + 222 - 39*h + 17 in the form c*h + l and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/32*3\/(-15))\/(((-1620)\/168)\/27)\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 40, 60, 80?\n\"Answer: 20*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520 is divided by 297?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1764 or -1771?\nAnswer: -1771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-28 + 2 + (-304 - -320)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -101*r**3 + r**2 + r - 2. Does 27 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 107*s + 3006, 2*d - 21 + 85 = 6*d - 0*d - 3*s + s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/4*-8 + 4\/2. What is the smallest common multiple of 4 and y\/(-12)*(24 - 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 846 divided by 6\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**7\/56 + z**6\/40 - 3*z**5\/80 - z**4\/16 - 52*z. Let s(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {s: 1, r: 1, a: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -895 divided by 15929\nAnswer: -895\/15929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 220*j**2 + 2504*j - 5920.\nAnswer: 4*(j - 2)*(j + 20)*(j + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 4*y = -32, 5*h + 4*y = 80. What are the prime factors of ((-3)\/1)\/(h\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000716153 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 67. Suppose 0 = 2*p - k*p + 12. Suppose -3*a + 6 = -0*a - 5*m, 6 = p*a - 4*m. Solve -a*h + 24 = -5*n, -6*h = -2*h - n - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -445*y**9\/252 + 13*y**5\/60 - 9*y**3\/2 - 2*y**2 + 113*y. What is the third derivative of p(x) wrt x?\nAnswer: -106800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4404*y - 1497*y - 1599*y - 1494*y + 903 wrt y.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.0399, 3, 56, -0.5?\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -175a - -7?\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3758248 to three dps.\nAnswer: -0.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-4 - ((15 - 22) + 22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 57.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) -5 (b) -0.5 (c) 3\/5 (d) -3\/2 (e) -24 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u - 1. Let f(j) = 8*j**2 - 6*j - 6. Calculate 5*f(q) - 30*s(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1. Let l(m) = m + 6. Let j(u) = 6*i(u) - l(u). Let g(x) = -518 + 518 - 14*x**2. Give j(g(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46949724, 46949734, 46949744?\nAnswer: 46949754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2) + 6 - (3 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -0.12. Let g = k - 0.07. Which is the closest to g? (a) -1\/11 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 65*i - 19. Let d be 1*2\/(-1)*(-17)\/(-34). Let r(y) = y. Let m(l) = d*t(l) + 5*r(l). Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1395, 1396, 1387, 1362, 1315, 1240, 1131?\n\"Answer: -p**3 + p**2 + 5*p + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31976000 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142 and 3 + 228\/(-36)*3\/(-1).\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 14*q. Suppose q = 3*v + v. Suppose 9*w - 14*w = v. Solve w*j + 5*j + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 0.4 (b) 6\/25 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 41. Let c(z) = 127*z + 106. Let j be c(-1). What is k(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14497 and 8911?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v + v + 3*v + 4 - v**2 + 8*v. Determine c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 6*v. Let f be p(6). Suppose f*x = -2*x + 12. Suppose 7*y - 23 = x*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, a: 2}. What is prob of picking 2 b?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 7*d - d + 10*d**3 - d.\nAnswer: 10*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -14 (b) -4\/5 (c) 2\/7 (d) 24\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q - 131. Let k be f(-14). Suppose -13*m + 17*m - k = -a, 0 = 4*m. Calculate the highest common divisor of 736 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145965288 divided by 2606523.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -340*d**3 + 234937*d**2 + 2068*d + 3452. What is b(691)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564070232 to the power of 1\/3, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -6685, -3, 13, -2, -9 in decreasing order.\nAnswer: 13, 0, -2, -3, -4, -9, -6685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 291.8 * -0.0244\nAnswer: -7.11992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 31630.998 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.3 + 18.5. Which is the second smallest value? (a) -0.4 (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*i**2 + 33*i**2 - 83*i**2 + 77*i**2 + 2*i**3.\nAnswer: 2*i**3 + 346*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 35 - 33 = -4*y, -8713*z + 8710*z - 39 = 3*y for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = -4*p, 6 = 3*p - 2*y + 1. Calculate the remainder when 19 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(2*h**2 + h**2 - 4*h**2)*(1349*h + 887*h - 364*h) in the form b*h**3 + o*h**2 + m*h + j and give b.\nAnswer: 1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 15*v + 39. Suppose -j = -4*h + 104, -2*j + 3*j = -4. Suppose -z - 2 = 0, -u - 3*z - h = z. Let c be l(u). Solve c*d = 4*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 1, e: 4}. Give prob of picking 2 d and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -2*b + 104. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -444.602598 rounded to the nearest ten?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*k = -8 - 6, 0 = -5*x - 4*k - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-4)*32\/20. Suppose 0 = -3*n + i + 11. Suppose g + 72 = n*g. Find the common denominator of -38\/9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 376.8?\nAnswer: 188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1422467\/108 or 13172?\nAnswer: 1422467\/108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/8 of a millennium?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.346727 millilitres to litres.\nAnswer: 0.007346727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -5 (b) 7\/9 (c) -3 (d) 0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081842 (base 12) in base 14?\nAnswer: 5c19d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*30\/8*(-48)\/1368*19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/20 + 2*g**4\/3 + g**3\/3 - 12*g**2 - 34*g. What is the remainder when 64 is divided by i(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(648) + sqrt(98) + -4*sqrt(98) + sqrt(98) - (sqrt(24)*-2*1 - sqrt(24))\/(3*sqrt(24)\/sqrt(2) - sqrt(12)).\nAnswer: 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6*p + 3714. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 43153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15108644 + 78.\nAnswer: -15108566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 + 33 - (-2 - 3)) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(2\/11)\/v))**(-8\/5)\/(v**(2\/11)\/v*v**(-4)))**(-1\/8))**(18\/11) assuming v is positive.\nAnswer: v**(-189\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*j = 3*m + 496*j - 79, 0 = 3*m + 5*j - 109. Let r(c) be the first derivative of 54*c + 99\/2*c**2 + 15\/4*c**4 - m*c**3 - 11. Solve r(y) = 0 for y.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3115257 is divided by 324?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34848515 is divided by 14001.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 5:04 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -34 - (-11 + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 11:43 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = a - 2*j, -3*j - 129 = -2*a + 51. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.264 to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-2)\/(-18))\/((-2)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = 7*v. Let u = -78.49 + 78. Let o = 0.01 - u. Which is the closest to v? (a) -1\/7 (b) o (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 280 = 2*g, 4*g - 2*u + 574 = -3*u. Let j = -88 - g. Calculate the least common multiple of 25 and j.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 5*z. Suppose -16 = -4*d - j, -d - j = j + 3. Suppose 3*y = -l + 11, 4*y + 5*l = y - d. Let o(a) = a**2 - 6*a. Give y*u(f) + 4*o(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + (-9)\/2. Let b(j) = -134*j**2 + 4 - 7*j - 3 + 3*j + 133*j**2 - 3*j. Determine b(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*l - 8187, 2*u + 3*u + 5*l - 13645 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 + 1010?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*l**3 - 7*l**3 - 3*l**2 + 2*l**2 + 5*l - 5*l in the form r*l + i + n*l**3 + p*l**2 and give n.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67466264 a multiple of 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.227 - -0.773. Let u = 0.3 - 0.5. Let p = -2.06 - -0.06. Which is the nearest to x? (a) u (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1070394*h - 3. Let g(o) = -2*o. What is n(g(x))?\nAnswer: 2140788*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 172 = 164. Solve 3*b - 5 = z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/109 (b) -2 (c) 0.4 (d) 2 (e) -4.63 (f) 4 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than 1\/5874560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22880 + -20?\nAnswer: -228a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 101 = 4*m, 3*m - 6 = 2*a + 75. Let v(r) = r + 9. What is the remainder when m is divided by v(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -c - 50. What is the remainder when c is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zurz when four letters picked without replacement from {r: 4, u: 8, n: 3, z: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000062084 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 4 - 3 + 5. Suppose -2*c = -3*c + 3*x + 43, 5*c + 4*x - 234 = 0. Calculate the remainder when c is divided by j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28357225736+-0.5\nAnswer: -28357225736.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050178 rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80854383811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/((-4)\/(4\/(-2))). Let q be ((-5)\/d + 1)*12. Solve -b = -q*b - 2*h - 23, -3*b - 5*h - 29 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.483 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 4\/3 - 1\/3*k**2.\nAnswer: -(k - 2)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 76063885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 7. Let i be a(12). Suppose -x - i - 1 = 0. Let v = x - -32. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1963778, 1963766, 1963746, 1963718, 1963682?\nAnswer: 1963638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 1, r: 4, d: 1, l: 3}. What is prob of sequence uu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/((4\/2)\/(-1)) + 1. Is 25 + (v\/4 - 0\/(-2)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 12*u. Let t be (35 - (u - 3))*(-5 + 6). Suppose 12 = 2*f - t. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence won when three letters picked without replacement from now?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:43 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1972186 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 11. Let w = -1868 - -2689. Suppose 407 = t*y - w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220*f**4 - 128*f**2 wrt f?\nAnswer: 5280*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 14. Suppose -4*q + 5*o - 51 = -7*q, 0 = 3*o. Let n = q - z. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 60. Let x = 21 - a. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 1, b: 6, g: 2}. Give prob of picking 1 n, 1 a, and 2 g.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5465 + 827. Let b = -773 + i. Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9312 + -9312.2. Which is the biggest value? (a) f (b) 1 (c) -1 (d) 0.06 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 40 + 128 = 0. What is the highest common divisor of u and 1040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 19, 53, 119, 229, 395, 629?\n\"Answer: 2*i**3 - 2*i**2 + 6*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/739278 and 49\/4824.\nAnswer: 2957112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70591, -70612, -70633?\nAnswer: -70654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-12))\/(1\/((320\/(-15))\/8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58522 is divided by 415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5197 plus 0.2075?\nAnswer: 1.7272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3069 + 1935 = 126*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11001?\nAnswer: 3, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 7*w**2 - 2*w - 3. Give t(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 129. Determine y(-29).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**6\/2160 - x**5\/180 + 6*x**3 - 5. Let g(t) be the third derivative of w(t). Factor g(n).\nAnswer: n*(n - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11451 - 23893 + 11643)*(2*d**4 - d**4 + 5*d**4 + (0*d**4 + 2*d**4 - 3*d**4)*(2 + 2 - 2)).\nAnswer: -3196*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -37587?\nAnswer: -37587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwhwhhhh. Give prob of picking 1 h and 3 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810561930?\nAnswer: 2, 3, 5, 619, 43649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -31\/12*x**4 - 1\/3*x**3 - 39\/2*x**2 + 102*x - 1. What is the second derivative of b(c) wrt c?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkkxxxxxkkxkkkxxxkk. What is prob of sequence kxkx?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 173, 88?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1.9, 0.2208, 5, -3\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2 - 14. Suppose -v + 346 = -3*s, 5*s = 4*v + l*s - 1334. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29486297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -56 - 52 + 108 + n. Let p(l) = 201*l. What is p(z(v))?\nAnswer: 201*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57282434 is divided by 1689.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 175, 373, 603, 871, 1183?\n\"Answer: d**3 + 10*d**2 + 161*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 908995 - -2706005. Round z to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffnnfffff. What is prob of picking 2 f?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**2 - 12*d - 14. Calculate the remainder when i(6) is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (7 - -1) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5075569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499782852?\nAnswer: 2, 7, 89277959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004340737796 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = -5*z - 4, -4*z + 7 = -h. Let j be 1*(5 - (-605)\/(-120)). Does j = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4\/2 - 15*n**3 + 305*n**2\/2 + 165*n = 0. What is n?\nAnswer: -11, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose c*k + t = 25, -5*k + 9 = -4*t - 21. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 39, -8, -4, 2, 132 in ascending order.\nAnswer: -8, -5, -4, 2, 39, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 - 7*j**5\/60 + j**4\/24 - 2*j**3\/3 - 2*j**2. Let g be f(7). Suppose -w - 130 = -g*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 + 6*h. Let t(r) = -r**3 - 8*r**2 - r + 4. Calculate the remainder when t(-8) is divided by q(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20340465 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*6\/126*(-9)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 420377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0 (c) -2\/3 (d) -3 (e) -1\/4 (f) -0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 11*b - 297. Suppose -272 = -b*q + 10*q. What is the highest common factor of q and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 48216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521 = 7*h - 137. Solve -15*l + 19 - h = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 x when four letters picked without replacement from xhxftdhexxhfheh.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:36 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 - 4*u**2 + 7*u - 6. Let i be p(-6). Suppose 3*m - i = 2*f, f + 462 = -3*m + 144. Let j be 51\/f + 2\/20*2. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-3)*(-25830)\/(-420))\/(-2))\/((-1)\/(-4))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 - 3*r**3 - 93*r**2 + 3*r + 90 = 0. What is r?\nAnswer: -5, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4783528)\/(-3315) + (-1)\/3. Let l = 1443 - y. Let x = 4\/65 + l. What is the closest to -2\/5 in x, -1\/2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63837 or 1.28?\nAnswer: -63837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -8\/11, 19, 0.2, -2\/11, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*j - 99*j + 9 - 10 = 2*a, 0 = 3*j - 5*a - 7 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10479364 and -89\/315877972.\nAnswer: 2211145804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (48\/64)\/(170215\/(-170220) - -1)?\nAnswer: 3, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(405) + 0 - sqrt(405)) + sqrt(405)) + (0 + sqrt(405))*-4 + 4 - (0 + 2 + -3 + sqrt(405) + 4))**2.\nAnswer: -108*sqrt(5) + 14581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 l, and 1 b when three letters picked without replacement from vlvbxmx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 81*j - 1440. Determine n(96).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/32 + -1 - 22\/20 and 107\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 - -63. Let o = 88 + z. Let d = 0.7 + -0.2. Which is the closest to o? (a) d (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.89 - -0.8. Let g = x - 0.11. Let p = -0.1 - g. Which is the second biggest value? (a) p (b) 2\/5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (746 - 1)\/((-20)\/40). Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5ca66 - -2?\nAnswer: -5ca64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3776 = 4*f - 4605, 2*f - 4229 = -3*x. Is -0.1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 3. Let l be h(9). Let f be 4\/6 - 4\/l. Suppose -2*m - f = 1. Is m < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10 - r - 2*r + r. Suppose 0 = 12*o - 13*o - 10. Does 7 divide w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251734567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttxxtxttt. Give prob of sequence xt.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 5136.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:32 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5916861 and 9?\nAnswer: 5916861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 80. Solve -96*m**2 - 12*m - 32*m**4 + 52*m**3 - 8*m + g*m**5 - 172*m**3 = 0 for m.\nAnswer: -1, -1\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 7*g - 6. Let l be q(6). Let p = 1167 - 1163. Solve p - l = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 12 = 3*x, -3*r = 5*x - 2*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*l + 10. Suppose l + 5 = w. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66475.8mm in centimeters?\nAnswer: 6647.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 16 - ((7 - 10) + -6 + -13)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -5) + (49\/(-28)*8 - -17134) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/5)\/(12\/2220). Suppose 2*o = d + 33. Suppose -l + o = -9. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**2\/2 + 8*p + 7. Let h be y(4). Suppose -3*o - d + 923 = -2*d, 3*d = -h*o + 1222. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 1. Let i(q) = q**2 - q - 9. Let k(d) = i(d) + 2*u(d). Let b be k(7). Let o = b + -16. Put 0, -3, o in ascending order.\nAnswer: -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 20545000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 36*t**2 + 185*t - 150.\nAnswer: (t - 30)*(t - 5)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 2. Let k = 1 - 9. Let a(v) = -v**3 - 9*v**2 - 11*v - 8. Calculate the remainder when a(k) is divided by o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 65*w - 69*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55815102 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3971294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5*-761327\nAnswer: 3806635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 55*b. Let f be c(55). Put f, -3, -135, 3 in descending order.\nAnswer: 3, f, -3, -135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -3 (b) 0.17 (c) -0.1 (d) 440 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l - 30. Let s(w) = -9*w + 14. Let x(t) = 6*k(t) + 13*s(t). What is x(1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/45122 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, g: 3}. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v = -5*k, 2*v + 6 = k. Sort -3, k, -5, 0 in increasing order.\nAnswer: -5, k, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*n**2 + 7*n**2 - 8*n**2 - 11*n**6 wrt n?\nAnswer: -1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**3 + o**2 - 15*o - 12. Is t(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -137*w + 32. List the prime factors of c(-2).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.19, 87 in increasing order.\nAnswer: -2, -0.19, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {z: 6, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29\/(-116) + -2 + (-20)\/(-8). Let s(j) be the third derivative of -1\/20*j**5 + 10*j**2 + 0 + 3\/2*j**3 + 0*j + o*j**4. Factor s(v).\nAnswer: -3*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2050, 3678, 5296, 6898, 8478, 10030, 11548?\n\"Answer: -l**3 + l**2 + 1632*l + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/(c*c**(-19)*c))\/c*c)\/c)\/c)\/c*(c*c*c*c**(-13\/2)*c)\/c)\/(c\/(c*c*c**(2\/5)*c)*c**(-2\/27)*c) assuming c is positive.\nAnswer: c**(3503\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biib when four letters picked without replacement from ikbiibbibik?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -116? (a) -2\/5 (b) -51 (c) 3\/11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1417854, 2835711, 4253572, 5671437, 7089306, 8507179, 9925056?\nAnswer: 11342937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3 - 3. Let x be f\/2*2 - 1. Which is greater: 1\/7 or x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7 (base 12) to base 9.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 674577.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101 + -17?\nAnswer: -16.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f - 60421*f**3 + 63725*f**3 + 17*f.\nAnswer: 3304*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -10. Let x = -22 + w. Let n = -40.2 + x. Put 0.4, n, 2 in decreasing order.\nAnswer: 2, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1462, 5995, 13630, 24373, 38230, 55207, 75310?\nAnswer: 98545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000655153 rounded to seven dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/14*2\/3. Let z = 21\/2 - 10. Which is the nearest to 1? (a) z (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*0*1\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 16*m - 9. Let o be d(-15). Let x(z) = -3*z**2 + 18*z - 7. Let b be x(o). What is the tens digit of (-2)\/b + (5 - (-3576)\/28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596326837.\nAnswer: 7, 29, 7863679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91358 (base 13) to base 9.\nAnswer: -435365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(39)\/sqrt(3)*-1 - sqrt(91)\/(sqrt(7)*-1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + 11187686?\nAnswer: 11187686.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d = 14*d - 3332. Calculate the highest common factor of d and 371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -170, -184, -198, -212, -226?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 70308563 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -1\/6*d**2 - 13\/3*d - 169\/6 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.261 + -66.739. Is -0.04 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7925379 divided by -3.\nAnswer: -2641793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:23 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 20, -17, -31 in ascending order.\nAnswer: -31, -17, 20, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c - 34. Let t(b) = 2*b + 2. Let m(g) = -20*g - 24. Let p(q) = -m(q) - 12*t(q). What is p(f(r))?\nAnswer: 12*r + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66560 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 - 4*r**3 + 4*r**3)*(126 - 69 - 99*r - 74*r - 58) as v*r + l + i*r**3 + x*r**2 + s*r**4 and give s.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -97511216?\nAnswer: -97511215.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867000 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 9)\/(-11 - -14). Let a(c) be the second derivative of c**5\/10 - c**4\/6 - c**3\/6 - c**2\/2 + 3*c. Give a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.872199t in kilograms?\nAnswer: 8872.199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4549217817 - 14.1.\nAnswer: -4549217831.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4 - 1\/2*g + 1\/4*g**2 = 0. Calculate g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = g + 64, -84*a - 1704 + 284 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 - 0.09. Which is the nearest to p? (a) 2\/23 (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 3*y**2 + 3*y**2 + ((0*y**2 + 0*y**2 - 2*y**2)*(-6*y**2 + 4*y**2 + 3*y**2) + 4*y**4 + 7*y**3 - 7*y**3)*(5*y - y - 2*y).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -241.63334 - -98.27\nAnswer: -143.36334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/128*918\/(-2295)?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d + 5*d + 8*d**2 + (d - d + d)*(-d - 2*d + 5*d)*(-22 - 25 - 28).\nAnswer: -142*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 4*p - 171. What is q(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3968 and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 646645 (base 7) to base 11.\nAnswer: 77854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -167, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 15 + 17 + (-6 - -1) - 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -175. What is the second smallest value in t, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125312 + -104211?\nAnswer: 21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.9. Let b = 17 - 17.4. Let h = -3 + -2. Put h, b, x in ascending order.\nAnswer: h, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3 + 7540190*j**2 + 816*j - 2965 wrt j?\nAnswer: -6*j + 15080380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 12*q**2 + 30*q + 29. Let o be l(-14). Let z(b) = o - 197*b - b**2 + 190*b + 0*b**2. Give z(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -104, -377, -920, -1823, -3176, -5069?\n\"Answer: -15*i**3 + 12*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0 + 0*f**5 + 0*f**4 + 1\/10*f**6 + 2*f - 1\/2*f**2 + 0*f**3. Differentiate h(g) wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 - 1022*b**2 + 29696*b + 30720 = 0. What is b?\nAnswer: -1, 32, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2338 (b) 0.02 (c) -1 (d) 1\/10 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2984 = -443*b + 10072 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.13976 times -605?\nAnswer: -1294.5548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 18. Suppose -n*l - 109 = 5*o - 294, -2*o - 58 = -l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(490)*-1) - (sqrt(1539) + -3 + sqrt(1539) + sqrt(1539) + sqrt(1539) + 2))**2 + 5.\nAnswer: -506*sqrt(19)\/7 + 1216465\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0821 + 198.8821. Let r = -198 + v. Which is the closest to 2? (a) 4 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -745.19, 1\/2, 3\/5, -1\/72 in descending order.\nAnswer: 3\/5, 1\/2, -1\/72, -745.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**(2\/3))\/i*i)**(-50)*(i*i*(i*i**(1\/3))\/i*i)\/(i\/(i\/(i**6*i*i))*i))\/(i**(1\/4)*i\/i**4*(i**1\/i)**(1\/70)) assuming i is positive.\nAnswer: i**(-835\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {m: 3, p: 6, z: 3, o: 2, u: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = -5*p, -4*n = 2*p - 9*n + 23. Calculate the remainder when 3 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + 16. Find the third derivative of 303*t**2 - 305*t**2 + 3 + 52*t - k*t**3 - 3 wrt t.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1957352402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -162*z + 12227. Determine g(76).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -0.4 (b) 5 (c) 2\/11 (d) -12.1 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 29 = -3*k - k, 2*k + 22 = 4*f. Let p be -1 - ((-78)\/12 + (-1)\/(-2)). Which is the nearest to k? (a) -1\/4 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/20 + 13*q**4\/4 - 87*q**3\/2 + 405*q**2\/2 + 101*q + 1. Solve s(v) = 0.\nAnswer: -45, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 506\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10578537*y*z**6 - y*z**5 - 1506*y*z**2 + 4*y*z + 19*y - z**2 wrt z.\nAnswer: -1269424440*y*z**3 - 60*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.024 - 25.024. Let q be 1*1\/(-1) - -1. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.1. Let i be (7 - -2 - 0)\/(-1). Let k be (-8)\/(-44) + i\/(-11). Is o >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3, 1, -1856 in descending order.\nAnswer: 3, 2, 1, -5, -1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i + 10. Suppose 0 = 4*s - 57 + i. Calculate the highest common factor of s and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12016 is divided by 4125.\nAnswer: 3766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:30 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxvvfvxvv. Give prob of sequence vf.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050490477 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328 - 336. What is the closest to -1 in n, -1.4, -5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.143 - -20.243. Is 0.3876 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o - 11*o + 4 + o**3 + 2*o - o**2. Determine d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:26 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/30 - 8*r**2 - 3*r. Let t(q) = -101*q. Calculate f(t(h)).\nAnswer: -20402*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1104701723640 + -56\nAnswer: -1104701723696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030207 to seven dps.\nAnswer: -0.0000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1046 + -9410\/9. Which is the third biggest value? (a) m (b) -2\/11 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38833 - -65689. Let p = 26856.45994 - r. Let j = p - 0.46. What is j rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -27*m. Suppose 0 = -6*l - 5*l + 6347. Let r(i) = -3*i + 2*i + 577 - l. Calculate r(s(b)).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 118019 times 0.03\nAnswer: 3540.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((27 + 5 + 5)*(-2 + 7 - 2) + 0 - 20 - 5)*(2 + o**3 - 2).\nAnswer: 86*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4\/18*(-132)\/((-528)\/70)?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064296591?\nAnswer: 3, 8171, 41669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307330293 a multiple of 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-54))\/(1\/(-9)). Let l be (-9 + 9)\/(s + -4 + 1). Let u be ((l + -2)*21)\/(-2). What is the greatest common factor of u and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2385*i + 3448*i + 8852*i to t*i + w and give t.\nAnswer: 14685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257330 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -13 - 3) + 3. Let b be (1 - 0)\/(6\/n). Let c(w) = -w - 3 + 3*w + b*w. Give c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58102686*o + 1200*o**3 + 58102686*o.\nAnswer: 1200*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvaa when four letters picked without replacement from avprrrwrrv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 - 2*j - j + j + j.\nAnswer: -j - 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 4*v**4 - 5*v**4)*(-98 + 85 + 87)*(5 + 7 + 0) - 3*v**4 + 2*v**4 + 2*v**4 + 0*v + 2*v**4 + 0*v + (3*v**3 - v**3 + 0*v**3)*(-5*v - v + 4*v).\nAnswer: -6217*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -39*a**3 - 17*a**2 + 17*a + 7. Is p(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -263.\nAnswer: 4\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -16865 = -16868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3082 and 1273.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8611102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160530049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 219822750 divided by 85?\nAnswer: 2586150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -26*d - 12. Let v be c(-2). Suppose 4*h = 4*o - 27 - 1, 3*h - 4*o + 18 = 0. Does 8 divide (v\/h)\/(2\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.99 - -0.89. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 39*q**2 - 36*q - 81. Give z(40).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4710*l**2 - 6989*l**2 + 4328*l**2)*(3*l**2 - l**2 + 0*l**2).\nAnswer: 4098*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*b - 747*b + 237*b - 1442 = -287*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 127c - 0?\nAnswer: 127c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.463 + -258.463. Let g = w + 258.0116. What is g rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Suppose -u*q = 7 - 5. Let v = q + 3. Calculate the greatest common factor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78591000 rounded to the nearest 100000?\nAnswer: 78600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.491\nAnswer: 0.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084.1 rounded to the nearest ten?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67.2 or -214.7?\nAnswer: -67.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001476252354 rounded to 7 dps?\nAnswer: -0.0001476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 4615*z**8\/56 + z**5\/20 - z**4\/2 - 70*z**3\/3 - 39*z + 67. Find the third derivative of b(u) wrt u.\nAnswer: 553800*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 140*p**2 + 429*p.\nAnswer: -p*(p - 3)*(p + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 82 = -4*h, -2*h - 56 = -19*k + 17*k. Solve k = -26*l + 16*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24, 103974, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -98. Suppose 0*t - 6 = -s*t. Let c = 47 + -18. Solve -c = -4*l + t*y, 0*l + y = -4*l + 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**4 + 1345332*b**3 - 21*b**2 - 9417306*b + 8071992 = 0.\nAnswer: -448444, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 8:18 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-811*t + 432*t + 262*t)*(-2 + 4 - 4).\nAnswer: 234*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*a + 32*a = -19*a - 4399956. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*o**3 - 3414 + 6779 - 3365 - 22*o**2 in the form d*o**3 + t + b*o + r*o**2 and give d.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20545, -20433, -20321, -20209?\nAnswer: -20097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**9\/3024 + d**6\/90 - d**3\/3 - 7*d. Let o(s) be the second derivative of q(s). What is the third derivative of o(t) wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssopppsopsppp. What is prob of picking 2 o?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*(-19)\/((-304)\/32)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 59*z**2 + 127*z - 619. Calculate k(57).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15006 divided by 41?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*u - 10, 0 = 2*p + u + 2*u - 13. What is the nearest to -1 in p, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103536 and 2970189.\nAnswer: 47523024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 39, 66, 97, 132, 171?\n\"Answer: 2*f**2 + 17*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 6*t - 24. Suppose 76 = 2*r - 10. Let q = r + -54. Calculate the remainder when f(q) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -11. Let z(h) = -2*h + k*h + 2*h**2 - h. What are the prime factors of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/3 + -80*(-1014)\/9 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20982089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1215 and 1065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3754, -7509, -11264, -15019, -18774, -22529?\n\"Answer: -3755*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*r**2 - 15647145*r - 1117653.\nAnswer: -3*(r + 372551)*(14*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-8 + 12 + 3 + -13 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 13. What is u(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 720*d - 716*d - r, -2*d = 4*r + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 5\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 7*x**2 - x - 5. Let o be l(-7). Let z(n) = -4*n + 2*n - 2 + 2 - 5 + n**o. What is the units digit of z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 482.48 + -493. Let q = m - -5.4. Let h = -0.12 - q. Which is the second smallest value? (a) h (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 - 3645\/910)\/((-1)\/(-120)) and -63\/5.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + w + 8 = -w, 5*f - 4*w - 17 = 0. Suppose f = -3*z - 8. Is 22*(2\/z + 48\/18) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 2. Let w be b(2). Suppose -d + 2*v + 8 = 0, 0 = w*d - 3*v - 2*v - 19. Calculate the lowest common multiple of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x - 22*x + 42*x - 62*x**3.\nAnswer: -62*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9880921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 1 - 11 + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*4*(5*sqrt(68)\/sqrt(4) + sqrt(34)\/(sqrt(2) - (sqrt(2) - ((sqrt(18) - sqrt(2)) + sqrt(2)))) + sqrt(17)))**2 + 5.\nAnswer: -490955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 407 - 409.77. Let x = 0.23 - p. Let u = x + -3.1. What is the nearest to u in -4, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-16))**(-41)\/(w**9*w*w\/(w\/(w\/w**23))*w) assuming w is positive.\nAnswer: w**585","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:30 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175266379*v**4 + 9834*v**2 - 5296?\nAnswer: 4206393096*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 185*s**2 - 19570*s + 39840.\nAnswer: 5*(s - 83)*(s - 2)*(s + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n + 17*n + 513. Suppose -n*u = -174*u + 15. Solve -2*q + 1 = u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 135082952297.\nAnswer: -135082952301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 824 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/384 and -3\/64?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9009 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(14) - sqrt(56)\/sqrt(4))*-6)\/(sqrt(126)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1978390429.\nAnswer: -1978390431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/(-45) + 161\/(-5). Let d be (-3)\/2*220\/u. Calculate the highest common divisor of 110 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-120)\/(-42)*(-14)\/(-4). Suppose -g + 13 = -x, 3*g = -0*g + x + 33. What is the highest common divisor of q and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let c(w) = w**3 - 7*w**2 + 5*w + 9. Let f be c(6). Let l(n) = -z*n + 7*n - f*n. Let u(v) = -17*v. What is u(l(r))?\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -1\/2*b**2 + 31 + 0*b. Let i(t) = -14*t. What is i(q(u))?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109766*u**2 - 54887*u**2 - 54891*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5 - 21*k**4\/2 + 231*k**3 + 1371*k**2\/2 - 2751*k + 1176 = 0.\nAnswer: -7, 1\/2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5) + (9 - 7 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 13. Let a be 24\/15*(-5)\/(-2). Suppose -b = b - 2*m + 16, -8 = a*m. Let r be d(b). Put r, 0, -5 in decreasing order.\nAnswer: 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1258 and 523106?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -11*t**5 + 112*t**4 - 284*t**3 + 48*t**2 = 0?\nAnswer: 0, 2\/11, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 5*s**2 + s - 4. Let k be d(5). Let f be k\/((-6)\/(-3 - -1)). Let n = 11\/3 - 19\/6. Which is the closest to -1? (a) n (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 21. Let k be n(-5). Sort 7, k, 2 in decreasing order.\nAnswer: 7, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-290918\nAnswer: 145459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 - 3163*v + 3*v**3 + 3165*v - 73*v**2 - 3*v**3 to the form z*v**2 + y*v + f*v**3 + k and give z.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404410 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.21364 rounded to zero dps?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 9. Let u be z(-5). Suppose 3*i + 8 = -7, -u*p - i + 7 = 0. Suppose 3 = -3*h, 2*t + 5*h - p*h = -2. Solve -k = 4 - t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -6, -5 in descending order.\nAnswer: 2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b + 9 = 0. Let g(q) = 5*q + 1. Let p(r) = r. Let k(c) = -c**3 - 13*c**2 + 16*c + 29. Let w be k(-14). Calculate b*p(v) + w*g(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/315)\/(11\/3)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24929\/3360 + 3\/1120. Let f = -11753 + 21895. Let y = f + -202889\/20. What is the common denominator of w and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36423?\nAnswer: 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 29 = -4*t, 0 = 2*t - 170656*s + 170653*s - 3 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:24 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 4*h + 2. Let s be u(-4). Suppose 2*n - 2*r + 0*r - 62 = 0, 5*n = -4*r + 137. Let l = 32 - n. Solve l*o + 31 = 4*p, -s*o + 2 = p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 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 k(r) = 19*r - 3. Suppose 3*f - 5*f = -4. Let o be k(f). Let w(b) = -50*b. Let p(n) = 3*n. Let q(m) = o*p(m) + 2*w(m). Let t(c) = -2*c**2. Determine t(q(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/((-2)\/3). Suppose -2*u - 3*s + a = 10, 3 = -s. Is 8 a factor of 18 - 0 - (u - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*l + 3, -15 = h + 7*l - 3*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211061540 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + i**2 + i. Does 12 divide z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(1872) + 1)*5 + 1.\nAnswer: -120*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 17 = -7. Let s = x - -6. Solve s = d - b - 8, 16 = 5*d - 3*b + 6*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2378 = 52*k + 330*k - 296 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/4)\/((-7)\/(-14)). Solve o*n = -3*c + 25, 0*n - n = -2*c + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - (-4 - (-21 - 5)) - -56) + 10?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/3)\/b*b\/(b*b\/((b\/(b\/(b*b**7)))\/b)))\/(b**6\/(b\/b**18)))**44 assuming b is positive.\nAnswer: b**(-2200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 4*l - 1. Let x be s(3). Let f = 11 + -8. Suppose -x*y = -f*y. Solve -2*r + 4 = -y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38.39 + 38.69. What is the closest to 5\/7 in a, 2\/7, 4, -44?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 133*v**4 - 262*v**4 + 139*v**4 with respect to v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 49 - 70 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bduufdg. What is prob of sequence ddgf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 31, 62, 121, 220?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2848832 and 41408?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21 of a week in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -570 - -574. Suppose 4*v + 0*v - 3*r = 31, 0 = -2*r - 10. Suppose -s - t*q - 11 = -q, q = v*s - 21. Solve -2*m - 2*m = s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7516*m + 41076 - 30370 + 229213 = -301233 for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52972259, -52972258, -52972257, -52972256?\nAnswer: -52972255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 21. Suppose -z = -5*y + 15 + l, z = -y + 14. What is the highest common divisor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 13*w**2 - 24*w - 126. Calculate l(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 289.4.\nAnswer: 289.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 - 205.3. Let j = w + 8.30000137. Round j to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 5*u + 4. Let v be y(-5). Suppose -v*k - 13 - 35 = 0. Let n = k + 29. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 + 175. Is (-30)\/(-2)*336\/n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -21*d**3\/5 + 952689*d**2\/5 - 22036698*d\/5 = 0.\nAnswer: 0, 162\/7, 45343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a = -21*a - 1168 - 534 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 1443*u**2 + 3615*u = 0.\nAnswer: -1205\/481, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*b + b. Suppose -2*l - 420 = 4*l. Let g = 92 + l. 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: How many minutes are there between 12:48 PM and 10:04 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (82\/(-1435))\/((-55)\/385)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 1\/3, 0.3, 27\/31, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 468*j - 7*j**4 - 26*j**3 + 499*j - 1499*j - 1194*j + 123*j**3 wrt j.\nAnswer: -84*j**2 + 582*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 12, -2, -10, 2, -57 in decreasing order.\nAnswer: 12, 2, 0, -2, -5, -10, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 6*k - 31. Let m = -27 + k. Suppose 0 = 2*y - m, -5*l + 5*y = 6 - 11. Solve 9 = v + l*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2041*t + 173 + 55 + 2038*t - 31 to the form q + s*t and give q.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3952449 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**4)**1)**2)**(-2\/29) assuming k is positive.\nAnswer: k**(12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.18 + 0.18. Let x = -8.1 - q. Suppose -4*n - 5*l = 4, 8 = -2*l - 0*l. Which is the nearest to -8? (a) x (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -111510, -111513, -111518, -111525, -111534, -111545, -111558?\n\"Answer: -q**2 - 111509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -15. Let s(y) = -3*y**2 - y. Let i be s(t). Let w be i\/8 - 27\/(-12). Sort 4, 3, w in increasing order.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -53 + -2 + -15\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -c - 2*c + 474, -o = 0. Suppose -2*j + 50 - c = 0. Let p be j\/4*(-16)\/24. What is the greatest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/29? (a) -374.5 (b) 10\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - g. Let o be y(-1). Let m = -10 + o. Let b = -5 - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/198)\/((-1)\/(-4)). Which is the smallest value? (a) u (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**4 + 2 + 14*w**4 + 0*w**4 + 3*w**3 - 453*w**2 - w - 2*w**3 - 8*w**4 as q*w**2 + a*w**4 + h*w + t + p*w**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 6. Suppose 25 + 65 = 5*i. Suppose 3*y + i = h. Is -5 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/19)*h)\/h)**(3\/20) assuming h is positive.\nAnswer: h**(9\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13139605 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -1\/6, 1.815, 4, -9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2 - 22, -3*v + 163 = -f. Let s = v - -62. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 + 20 = 0, 14 = 3*f - 2*w. Let b(n) = -n**2 + 10*n - 4. Let c be b(9). Suppose -36 = f*i - c*i. What is the remainder when 35 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -212?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -6 + -2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 13\/((-10270)\/4720) + (-14863)\/(-246085)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. Suppose -u*w = -2*v, -6 = -4*v - 2*w + 18. Suppose 0*r - 3*r + 2*j = -71, 3*r + 2*j = 91. Solve 0 = v*m - 4*a - r - 14, 5*a = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.073 + -0.437. Let k = 0.41 + n. Which is the nearest to k? (a) 7 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 5*p**2 - 4*p + 18. Let j be l(3). Calculate the highest common divisor of j and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 2. Let i be o(3). Let m(d) = d**3 - 10*d**2 - 9*d - 12. Calculate the smallest common multiple of m(i) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -30. Suppose 0*r + 4*r - d = 0. Suppose -29 = -r*n + 2*n + 5*z, 2*n - z - 22 = 0. What is the remainder when 33 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 2*u**3 - 2*u**3 + (-352*u + 352*u + 100*u**3)*(14*u - 22*u + 13*u).\nAnswer: 501*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/9 (b) 70 (c) -0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(-3)*8. Suppose 12 = -r*b + 48. What is the remainder when 15 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*b + 30*b + 492. Let w = b + -111. Find the common denominator of 22\/4 - 27\/w and 77\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 plus 45.833?\nAnswer: 13.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -315a12?\nAnswer: 315a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-32)\/36 - (5 - 1) and -24\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 47*p**3 - 8*p**2 + 8*p - 11. Suppose 7*g = 33 + 9. Is k(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -47 in increasing order.\nAnswer: -47, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876081*i + 18 = 876078*i - 5*z, -3*z - 18 = 9*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-8 - -11) - 90\/(-14)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c. Let n(g) be the first derivative of -3*g**2\/2 - 6. Determine n(z(l)).\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v + 3487 = 51*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 535 - -140.8664971.\nAnswer: 675.8664971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g + 4 = 4*z, 0 = -2*z + 5*g + 12. Let k be 10\/z*(-48)\/8. Suppose 3*c - 4 = 2. Solve 0 = c*q + 3*q + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000321022 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 9. Let b = 16 - p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 6*q**2 - 9*q + 22. What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -939 by -1.\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 206.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -39 in decreasing order.\nAnswer: 5, -7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/7 + 24*b**2\/7 + 82*b\/7 + 60\/7 = 0.\nAnswer: -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658548?\nAnswer: 2, 3, 11, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -125 - 25. Is (25\/r)\/5*4311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1415, 0, -5, 53 in descending order.\nAnswer: 1415, 53, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44558 and -1.1.\nAnswer: 49013.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*(-3 - -1). Let w be o - -1*(3 - 2). Let b be (-46)\/(-10) - 10\/(-25). Solve w*m = -b*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-90)*-3)\/(38\/95)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 107020 (base 10) to base 6\nAnswer: 2143244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 270 - 294.5. Let f = 24.49287 + t. Round f to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Let l(b) = b**g - 2*b**2 - 3*b - 2 + 3*b + 2*b. List the prime factors of l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*m**5 - 9594*m**3 - 704*m**2 + 74*m wrt m.\nAnswer: -1440*m**2 - 57564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 230492.98 rounded to the nearest 1000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-4*w + 0*w - w + (2 - 2 - 2)*(4*w + 2*w - 4*w) + 2 - 2 + 2*w)*(-4 + 2 - 3).\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18073470, 18073474, 18073480, 18073488?\n\"Answer: n**2 + n + 18073468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 2656*c + 37968.\nAnswer: -4*(c - 14)*(c + 678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2753 * -4274.6.\nAnswer: -11767973.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256850 a multiple of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4\/20 - 4*o**3\/15 - o**2\/10 + 4*o\/5 - 34. Find q, given that c(q) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + o - 29*o**3 + o**2 - 15*o**3. Let i be h(1). Let k be 3\/(i\/6)*-60. What is the highest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 0 + 2*g - 2 - 4 - 2. Suppose 3*h + 0 = -2*b + 3, 39 = 5*b - 3*h. Let t be l(b). Solve f + 6 = -u, t = u - f + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-221 - -223)*(2 + -5). Let z(y) = 10*y**2. Let k(h) = h**3 - h**2 - h + 5. Let u be k(0). Let g(s) = 11*s**2. Calculate d*z(n) + u*g(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 1088780377.\nAnswer: 1088780376.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 2*j**4)*(24*j - 8*j + 64*j) - 3*j**5 + 3*j**5 + j**5.\nAnswer: 161*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/54)\/(3\/(3 - -15)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (-64)\/8 + 11. What is the nearest to z in -3, 17, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 5:26 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 18*c + 61. Let k be v(-17). What is the highest common divisor of 234 and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -1 + (-1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 1048576*d**4 - 1036288*d**3 - 12252*d**2 - 36*d = 0.\nAnswer: -3\/512, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -521?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose -9*x = -7*x - 206. Calculate the remainder when x is divided by 33 - -2*(3 - d).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 4348057568 + 4348057568.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 6. Let r be x(-6). Suppose r = 2*n - 0*n. Suppose -8*k**3 + 16\/3*k**2 - 2\/3*k**5 + 4*k**4 + n*k + 0 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324604.\nAnswer: 2, 7, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 37450*l - 1010441. Determine z(27).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140 + 140 - 20*y)*(-2*y + 25*y + 24*y - y**3).\nAnswer: 20*y**4 - 940*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/12 - 195*s**4\/4 - 22815*s**3\/2 - 1427*s**2. Determine u, given that m(u) = 0.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mps when three letters picked without replacement from spuuxmgsgsu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16371250 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -45*u + 2370. Calculate v(55).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*b - t - 0, -t + 13 = 2*b. Solve 0 = -v + 4*y + 13, 1 = 4*v - b*y + 5*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.089 from -11582.782.\nAnswer: -11582.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + 47*n - 63. Let w be g(-13). Which is the nearest to 3\/7? (a) w (b) 5 (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 11, 5, -3\/4, -13456, 0.5, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(((-57)\/30)\/19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*c + 320 = 170*c - 293*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let q(x) = -113*x + 7. Give b(q(y)).\nAnswer: -113*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24*y - 22. Give z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -3, -1\/3, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 2*r**4 - 3*r**3)*(3 - 3 + 2*r) - r**3 + r**3 + 2*r**5 + (r**5 - 4*r**5 - 5*r**5)*(-4 + 2 + 0).\nAnswer: 22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29536 and 31453994.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*k**2 - 58*k**2 + 4*k**4 + (-3*k**2 - 2*k**2 + 3*k**2)*(2*k**2 + 0*k**2 - k**2))*(2403 - 1031 + 2857 - 760 + 2580).\nAnswer: 12098*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkyyfffykfkfykmy. Give prob of picking 1 m and 2 k.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 9. Let h = 11 + -16. Let m be 0*(-2 + h\/(-2)). Suppose m = 5*a + 25, -f - f - 30 = 4*a. Give u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 68 - (-1 - (-2)\/4)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 1\/2*s**3 + 8*s + 0 + 15\/2*s**2. Let m be i(-6). Which is the closest to -3? (a) 4\/3 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w + 3648 = 46*w. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188055.\nAnswer: 3, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 41115\/62183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 6:37 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -48.3. Put r, 5, -4.6 in descending order.\nAnswer: 5, r, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + b = -2*g + 130, 4*b = -8. Let d = g + -42. Find the common denominator of (1\/d)\/((-22)\/12) and 41\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - -3 - (1161 + -1233)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/3, 1, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/7)\/d**(2\/9))**(-44))**(-7) assuming d is positive.\nAnswer: d**(968\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 1261.\nAnswer: 151320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 12*z + 3*z**2 - 9*z - 12*z + 44*z.\nAnswer: -2*z**2 + 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -1, -0.1, -3\/20, 2\/35 in increasing order.\nAnswer: -1, -3\/20, -0.1, 2\/35, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*o - 377*o + 1142*o - 359*o.\nAnswer: 35*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 + -128. Suppose 62*h - x*h + 420 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 16963*i - 16954*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-77))\/((-5)\/(-175)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -2*s**7\/21 - 13*s**5\/5 + s**4 + 11*s**3\/2 + 1153*s. What is the third derivative of n(a) wrt a?\nAnswer: -240*a**2 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**5 + 13728*w**4 - 82080*w**3 - 493688*w**2 + 1178724*w - 616680 = 0.\nAnswer: -5, 1, 9, 3426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2057 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640285453.\nAnswer: 640285453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 9 = 5*q + 29, 4*g - 5*q - 17 = 0. Suppose -g*c + 13 = 2*o, o = 3*c - c - 4. Suppose -k - 5 = -o*k + 2*d, -5*k + 25 = -d. Solve 4*t - k = 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -1, -1\/3, -1\/11, 7\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/191, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**3 - 15289223*k**2 + 15289223*k**2.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16944 and 672?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/14)\/((-126)\/(-441)). Let m(d) = -d**2 - 14*d. Let r be m(-14). Solve 0 = -4*p + 6*p - j*v + 12, r = -4*p - 2*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -85*y**3 + 3*y**2 + 7*y - 53. What is the hundreds digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15)*5 - -3. Let n(q) = -3 + 7*q - q - 2*q - q**2. What is n(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g*g**(-3))\/(g**(-4)*g**(-5)) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-24)\/(-16) + 6\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 7367*n**7\/210 - 3571*n**5\/30 - 45*n**2 - 49*n. Find the third derivative of c(r) wrt r.\nAnswer: 176808*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32 + -1 - 4\/(20\/25). Suppose 2*q = p - 12. Solve -q*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300) + sqrt(6300)*2 + sqrt(6300) + (sqrt(378)*1 + sqrt(378))\/sqrt(6))**2 + 0.\nAnswer: 111132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 + 274. Let c(w) be the first derivative of w**4\/4 + 5*w**3\/3 + 4*w + 1. Let r be c(y). Sort -1, r, 5 in increasing order.\nAnswer: -1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-585)*(-10)\/6 + 1136\/52?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13989 is divided by 159.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 1704634 + 1704876 = -k, -3*w + 35 = 5*k for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(16\/30)\/(238\/(-51))*-1?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.7978 times -0.1\nAnswer: 0.07978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 7 - (-68 - -56).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 407581915 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -421?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9980.345 - 9963. What is s rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 1. Suppose 0 = 3*l + 2*l + 4*q + 45, -2*l - 3*q = 25. Let r be k(l). Let m be (r - 5)\/(2\/64). What is the greatest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1, 0.3, -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4395, -3313, -1489, 1077, 4385, 8435?\n\"Answer: 371*r**2 - 31*r - 4735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -18*o - 443. Calculate the remainder when f(-36) is divided by 111.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4062719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643617 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17961 and 90?\nAnswer: 538830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6\/11, 0.6, -2, 3\/7, 17?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 190*j - 228*j - 927*j - 3 in the form z*j + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 63 = 5*p, w + 12 = 4*w. Which is bigger: p or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-5))\/(6\/40*(-22)\/1683*-51).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 22*n + 10. Let u be w(-7). Let z = -6 - u. Suppose -51 + z = 3*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.07377 or 1\/47?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -103*s - 10*s**2 + 103*s. Let p(a) = 4*a**2. Calculate p(g(w)).\nAnswer: 400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*t - 41*f**2*t + f**2 + 95*f*t - 2*f - 10*t wrt f.\nAnswer: 6*f*t - 82*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80)*2)\/(sqrt(256)*2*4).\nAnswer: 3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = n + m - 57, 0 = -n + 4*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:25 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01244646 to 5 decimal places.\nAnswer: -0.01245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55, 182, 393, 694, 1091, 1590, 2197, 2918?\n\"Answer: a**3 + 36*a**2 + 12*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*h - 2, -3*u + 5 = 5*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.96 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 + -180. Find the common denominator of (-14 + w)*2\/4 and 105\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((816\/168)\/(-17)*(-70)\/(-20))\/((-1)\/(-64))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -2\/3 (b) 3\/34 (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1))**(8\/9)*((q*((q\/(q\/(q**(-9)*q)*q*q)*q)\/q)\/q*q)\/q)\/(q*q**(-9)))**(6\/17) assuming q is positive.\nAnswer: q**(-4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:58 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*i + 5*i + 35. Let c be (-7 - 504\/(-60)) + i. Factor 0 - 1\/5*t**2 + c*t.\nAnswer: -t*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, v: 5, w: 3, e: 1, s: 1}. Give prob of sequence vs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225 + 227. Solve c*m = 3*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 38 = 18*f - 3*i, 4*f + 4*i - 36 = 0. Solve f*h + 101 - 76 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/102*(-12138)\/(-96390).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = 3*x - 4, 2*i = -4*x + 18. Let y(u) = -u + 94. What is the remainder when y(19) is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000104435 rounded to 6 dps?\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 4544 - 4541 - 4535 + 4*g + 13620.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-60)\/279)*8. Let v = 2044\/11 + k. Which is the third biggest value? (a) -4 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 53*y - 99. Let h be s(3). What is the greatest common divisor of h and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 118, 233, 348, 463, 578?\n\"Answer: 115*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 4066489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 68928?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o + 24. Let m be t(13). Let j = 242 - m. Let h = 0.2 - 0.2. Which is the closest to -3? (a) j (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:07 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.4 (c) -12679 (d) 61\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 139*r**3 - r**2 + 1. Let d be z(1). Let c = d + -96. Let j = -24 + c. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*r - 40, 21 = 4*r - i + 2*i. Let t be 1512\/243 + r\/(-18). What is the highest common factor of 294 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -920\/365019 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 - -135. Solve -5*q = j*z + 15, 0*q - 3*z - 11 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 746b2 (base 15) to base 3.\nAnswer: 200202201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265277 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-405)\/10*102\/(-459)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + 7. Let a = 73\/4 - 135\/8. What is the common denominator of ((-22)\/v)\/((-8)\/(-50)) and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98777330?\nAnswer: 2, 5, 71, 139123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, x: 10}. Give prob of picking 3 x and 1 q.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-2730)*14)\/((-14)\/(-21))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 87?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + (-5 - (-9 + 23))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 58 + 8 = 0. Let z = x + -34. Let k be 3 - z\/((-4)\/10). Which is the closest to -6? (a) -2\/5 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 37*t + 2. Let s be z(4). Let d be 53\/(3\/(4 + -1)). Suppose 3*g - 47 = -0*g - p, -4*p = 3*g - d. What is the greatest common factor of g and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(6048) + sqrt(6048)*-1 - (sqrt(42) - (sqrt(84)*1)\/sqrt(2)))\/((-4*(sqrt(84)\/sqrt(2) + sqrt(42)))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16530*-2.8.\nAnswer: 46284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5104033.\nAnswer: 11, 464003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 6)*(5 - 1 - 3)*(-406 + 154 - 86)*(i - 2*i + 2*i + (3*i + 2*i - 3*i)*(2 + 1 - 4)).\nAnswer: 2366*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52281147 to 2 decimal places.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/6 - 29*k. Let i(m) = -m**2 + 1. Let z = 0 + -1. Let g(c) = 6*c**2 + 6. Let w(o) = z*g(o) + 6*i(o). Calculate w(r(f)).\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {x: 1, t: 8, u: 8, w: 1}?\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w. Let o be y(-1). Let n = -396 + 401. Suppose 3*j - 156 = -o*x, 2*j + 129 = n*j - 5*x. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 30*v + 3855. Calculate l(-79).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*o - 9 = 0, -2*o + 6 = 8*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 12\/1403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:50 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.765239m to micrometers.\nAnswer: 5765239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, -1014, -1532, -2050?\nAnswer: -2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0307 - 0.1307. What is the closest to n in -10, 2\/5, -1, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfvh when four letters picked without replacement from vfffvhfvvvfhfff?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*k - 5 = 0, 5*k + 97 - 82 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 250 = -2*m + 4*m, -368 = -3*m + 5*s. What is the highest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.06 (b) -0.18 (c) 2 (d) -22\/13 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 26*o - 27*o = -8, -2 = -h + 5*o. Let i be 0 + 1 - (0 + -1). What is the first derivative of 63 - 9*j**h - 2*j**i - 70 wrt j?\nAnswer: -22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 2962*w - 10 + 4543*w.\nAnswer: 7505*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -97, -219, -353, -505, -681, -887?\n\"Answer: -t**3 - 115*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 207.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, -1, 3, 4, 14, 4402 in decreasing order.\nAnswer: 4402, 14, 4, 3, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/13)*i\/(((i*i*i**(-3)*i)\/i)\/i*i)*((i*i**(-2\/7)\/i)\/i)**10)**(1\/27))**(-1\/22) assuming i is positive.\nAnswer: i**(17\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 131 = 3*i. Find the common denominator of -33\/4 and i\/(-22) - (5 - 6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 53*u**3 - u + 1. Let v(y) = -y**2 - 6*y + 8. Let x be v(-7). Let f be z(x). Suppose -f = 4*a - 185. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3 = -a, -2*t = 11*a - 15*a - 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f**(-12)*f)**(-31)\/((((f*f**(1\/3)\/f*f*f)\/f)\/f)**(-34))**(2\/99) assuming f is positive.\nAnswer: f**(64517\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26529958 divided by 182\nAnswer: 145769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 12. Let v be d(8). Solve v*h = -4*y + 3*y - 15, 3*h = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6567745 and 1510?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t + 4. Suppose 3*v - 4*w + 9*w = 15, 0 = 5*v + 2*w - 44. What is the least common multiple of j(-3) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35510720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -0.02, -0.2, 8\/7, 2.3, -3 in descending order.\nAnswer: 2.3, 1.5, 8\/7, -0.02, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72736 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**3\/9 - 46835*h**2\/9 + 267388*h\/9 + 26740\/3.\nAnswer: (h - 6685)*(h - 6)*(7*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89094 and 925907.\nAnswer: 172218702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 40, 69, 118, 193?\n\"Answer: x**3 + x**2 + 5*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 3:43 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/20 and (-9)\/(-540)*5*33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -799340, -799435, -799530, -799625, -799720, -799815?\n\"Answer: -95*y - 799245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140945408 by 1101136.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/75)\/(8\/(-90)*(-375)\/600)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w**2 - 3*w - 14. Give n(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18105691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -194*u + 22560. Determine q(100).\nAnswer: 3160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11624177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091899638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Suppose o = 2*p - p. Suppose p*a + 9 = 47. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 589 - 896. Let n = -312 - x. Sort -2\/15, n, 0 in decreasing order.\nAnswer: 0, -2\/15, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 63464ca?\nAnswer: 6346501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 11 + (-4 - (-5 - (4 + 5))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*f**3*o + 170*f**3 wrt o.\nAnswer: -30*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 7. Let s be q(9). Suppose -4*h = -4 - 4. Find the second derivative of v**2 - 8*v + h*v - s*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2986?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -550, -1234, -2190, -3418, -4918?\nAnswer: -6690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18)*(-6)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -49 + 1 + (21 + -19)\/(0 - 2). Let r be 286\/(-6) - (-14)\/21. Do z and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 7*o - 3*o)*(-11 + 12 + 9) to the form a*o + k and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -496, 27823?\nAnswer: -496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 13*b**2 + 2*b - 18. Give t(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**5 + 26*r**4 + 28*r**3 + 10*r**2.\nAnswer: 2*r**2*(r + 1)**2*(4*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/45)\/((-3)\/40*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16407\/10 - -1635. What is the common denominator of s and 83\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 223 - 2214221?\nAnswer: -2213665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, 2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 774423463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14\/13))**(-3\/35)*(v\/(v**(-43)\/v))\/(v*v\/((v**(-2\/11)\/v)\/v)*v) assuming v is positive.\nAnswer: v**(28536\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -4*g**3\/3 - 4*g**2 + 5. Factor c(n).\nAnswer: -4*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 + 213. Let z be m\/5*50\/(-10)*-2. Calculate the greatest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g + 49*g = 2*y - 15336, 5*y = -g + 38361. Does 76 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2802, 12213, 28164, 50655?\nAnswer: 79686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u + 0*u**5 - 2\/3*u**3 - 41\/2*u**2 + 0*u**4 + 1\/15*u**6 + 7. Differentiate s(d) wrt d.\nAnswer: 8*d**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 7*k**2 + 3*k - 18. Calculate p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 369, 546, 715?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/14)\/((-3)\/(-42)). Suppose d = g + 8, -5*g + 17 = 4*d - l*g. What is the smallest common multiple of 6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 a when three letters picked without replacement from qkoha.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -41, -66, -111, -182, -285, -426?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97904 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1399838 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2*h + h)*(-24 - 24 + 50)*(2 + 1 - 2)*(-6 + 1 + 3) to the form x + u*h and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-5*w**4 - 6*w**4 - 3*w**4) + (-3*w**3 + 4*w**3 - 2*w**3)*(-3*w + 2*w + 3*w)*(-9 - 16 + 14).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d376 + bd0?\nAnswer: -c696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -36, 1, 4, -12, -2, 6 in descending order.\nAnswer: 6, 5, 4, 1, -2, -12, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2447 - -4537. What is the least common multiple of d and 12?\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**3*r*w**3 - b**3*r*w**2 - 365*b*r*w**2 + 86*r*w**3 wrt w.\nAnswer: 24*b**3*r + 516*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69935*a**5 + a**2 + a - 1813?\nAnswer: 4196100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257757, 515166, 772571, 1029972, 1287369?\nAnswer: 1544762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g - 1. Let u(j) = -19*j - 3 + 2 + 30*j. Let y(q) = 4*o(q) - 3*u(q). What is the remainder when 28 is divided by y(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/15 + (-36)\/(-10). Suppose 0*k = -k + q. Suppose -3*b + 21 = 3*a, k*b - 4*a = -5*a + 31. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-71560)\/(-24)*(-6 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -5. Are 2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 17660?\nAnswer: -17664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -92, -4, 39 in ascending order.\nAnswer: -92, -4, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(-9*(-70)\/900)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snonnoosoodndsdsods. What is prob of picking 1 d and 3 n?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 43 - 49 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8356 + 12934. Is z a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2339 - 2363 = -12*f. Let g(k) = -k**2 - 2*k - 1. Let d be g(-3). Which is the nearest to f? (a) -5 (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + (-42 - -75 - 12)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, and 2 j when four letters picked without replacement from {f: 1, c: 4, v: 3, t: 3, w: 2, j: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:51 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-1)\/9)\/((-19275)\/4626)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -263, -1, 6 in decreasing order.\nAnswer: 6, 1, -1, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/5*(-5)\/2. Suppose 2*g - 6*g + l = -c, 0 = -c - 2*g + 2. Let z(d) = -d**2 + 5*d - 5. Let a be z(5). Sort -0.5, c, a.\nAnswer: a, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349639 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/4*(-8)\/27*259. Let v = c - 984908\/4671. Let x = -54667\/23874 + v. What is the common denominator of x and 52\/5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11)\/(q*q**(-9)\/q))\/(q**(-2\/7))**(2\/3) assuming q is positive.\nAnswer: q**(2165\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/4)\/u*u)**(-49)\/(u*((u**8*u)\/u*u)\/u)**40 assuming u is positive.\nAnswer: u**(-1195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/20 - 5*d**4\/6 - d**3\/2 - 27*d**2\/2 - 140*d. Let s be j(-10). Solve n = -0*n + s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 1261442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 197 in ascending order.\nAnswer: -5, -3, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 38 - 34. Suppose 0 = -w*l - 261 + 257. Is 10 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.126 - -0.195. Let x = -0.221 - f. Let h = x - -0.59. Which is the second biggest value? (a) h (b) 0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.552 at least as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.5. Let i = -235\/124 + 20\/31. Which is the nearest to o? (a) 3\/4 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43358 and 303126.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 4. Let u be l(-2). Suppose -5*i - 5*b + 30 = 0, 7*i - u*i = 4*b + 21. Let r = -11 - -20. Calculate the remainder when r is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5\/4)\/g*g*g**(2\/7))\/(g*g\/(g*g**(-5))*g*g**(-1\/3)))\/(((g\/((g**1*g)\/g*g))\/g)**(-29)\/(g**1)**(28\/5)) assuming g is positive.\nAnswer: g**(-24793\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crrr when four letters picked without replacement from rcrr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001110000100 (base 2) in base 3?\nAnswer: 2112122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*k - 1647*k - 538*k + 42*k - 2 to the form g*k + u and give g.\nAnswer: -2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20888*n + 12160*n - 18967*n.\nAnswer: -27695*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g - 13*g = -250. Solve 9*u - 4 - g = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -139, -83, -1, 107, 241?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/2)*w)\/w**(3\/8)*(w**(2\/3))**(5\/14))**48)**(-18\/13) assuming w is positive.\nAnswer: w**(-8244\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*n + 0*n**3 + 2\/7*n**4 + 0 - 6\/7*n**2 = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -8, -3, 4\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 165030, 330036, 495002, 659928, 824814, 989660, 1154466?\n\"Answer: -20*a**2 + 165066*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 82.\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6718 by -2.\nAnswer: 3359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**5\/60 - k**4\/24 - k**3 + 2*k**2 + 4. Let m(n) be the second derivative of g(n). What is m(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + t + 1, 5*t = 2*a + t. Let i be -1*(-6 + 13 + -9). Solve i*j = -k + a*k - 4, 4*k - 5*j = 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/12 - 5*j**3\/6 + 7*j**2\/2 - 7*j + 9. Let b(q) be the first derivative of m(q). Determine b(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:54 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/326 and 49\/3260.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n - 478 = 239*n + 55*n + 3449 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (285012\/(-243))\/(-26) - 45?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l + 54*l = -1270. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 9. Let d be s(-5). Suppose -5*i + 7*i - d = 0. Let w be ((-2)\/(-5))\/(3\/(-5)). Which is the smallest value? (a) i (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31031431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*54\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/9 + 10*w**2\/9 = 0. Calculate w.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -3)\/((-2)\/(-82)). Let w = 48 + f. Solve -6 = -3*t - y, 0 = t + 5*y - 23 + w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -31?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, t: 2, c: 1, a: 2, x: 6}. What is prob of sequence tait?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 - (139 + 255 + -443).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501655923?\nAnswer: 3, 557, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from {d: 8, z: 7, a: 3}?\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41074277?\nAnswer: 2917, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*x, 27*z - 28*z = 5*x + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 162 and 0.3.\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 61 = -7. Let c = q + 53. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124142123123 - -1?\nAnswer: 124142123124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (1 + (-4)\/2). Suppose 75 = c*z - 801. Is z + -4 + (3 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:02 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g*g\/(g\/g**(-4\/3)))\/(g**(14\/5)\/(g\/g**(-3\/2))) assuming g is positive.\nAnswer: g**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 3 - 262798507*l.\nAnswer: -262798507*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163037630?\nAnswer: 2, 5, 7, 571, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 2*v - 3. Suppose -g = 3*c + 1, -3*c + 7*c - g = 8. Let m(q) = q**3 - q**2 - q - 1. What is c*z(r) - 2*m(r)?\nAnswer: -2*r**3 + r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l - 3 = 0. What is the least common multiple of 10\/(-6)*(-16)\/(480\/126) and 19 + -7 - (l + 0)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 3*u - 13. Let w(d) = -1. Let c(y) = -2*y**2 - 11*y + 5. Let z(j) = -c(j) - 4*w(j). Let o be z(-5). Give l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.806999 decades in years?\nAnswer: 8.06999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37.84+0.88543\nAnswer: -36.95457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 544 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -109*3*(-4)\/6. Let u = s + -85. Round u to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 - 2*a - 2. Let d(f) = -f**3 - 76*f**2 - 70*f - 10. Let s(w) = d(w) - 5*l(w). Factor s(o).\nAnswer: 4*o*(o - 15)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 619780 and 26524?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12563396 is divided by 2079?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 13. Suppose -p*y = -4*y. Let f be (9\/(-51))\/((-9)\/6). Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7926659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2301, -9153, -20579, -36585, -57177, -82361, -112143, -146529?\n\"Answer: -z**3 - 2281*z**2 - 2*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*n - 5*p, 17 = 4*n - 75*p + 74*p. Which is the nearest to 26\/5? (a) n (b) -2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t - 1. Let j be a(1). Is 195\/10*2\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 22*f**3 + 2*f**4 - 57*f**3 + 4*f**2 + 29*f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30339413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, u: 13, e: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(189\/420)\/((-6)\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 32556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*2100\/(-1323) - (-10)\/(-6)) + (-18)\/63.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3469294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67582, 67573, 67564?\nAnswer: 67555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 - 605*b**3 - 19720*b**2 - 84100*b = 0 for b.\nAnswer: -58, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(37\/((-21460)\/(-87)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(sqrt(11) - (sqrt(11) + -1))**2*1 + 5 + -3 + (3*sqrt(11))**2*-2.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 3, -43009 in descending order.\nAnswer: 5, 3, -4, -43009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.005 + -4.005. What is the biggest value in 0, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -16. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18256057 is divided by 450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-342))\/((6512\/666)\/88).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, a: 1, l: 2, x: 3, z: 5}. What is prob of picking 1 x, 1 w, 1 z, and 1 a?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/(-4) - (-3)\/(-18)*4 and -11\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*10 - (-6)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(360\/28))\/((-50)\/75)*-2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 10*n**2 + 5. Let c be (-6)\/(-2) - (0 - 7). Let h be o(c). Find the third derivative of s**5 + 0*s**2 + 4*s**2 - h*s**5 - 2*s**2 wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110110 - -111110?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577462 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1739, -3483, -5227, -6971, -8715?\n\"Answer: -1744*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 + 6 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c - 255 + 590 + 5*c**2 - 250 = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 3) to base 10.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - 1. Let l be t(1). Let u be l\/3*12\/(-40). Which is the second biggest value? (a) 0.2 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*q - 5*q + 20, -3*q - 4*l + 19 = 0. Suppose 5*h - q = 5. Suppose 23 = h*o + 7. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - 1. Let p be (-4)\/(-1)*1\/g. Sort 4, -2, 3\/4, p in descending order.\nAnswer: 4, 3\/4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:14 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 7*y + 15 + y**3 - 5 - 7*y**2. Let v be t(8). Suppose 0 = -4*n + v*c + 4, 4*c - 16 = -4*n + 3*c. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8943 = -s, s = -9 + 14. Let d = g - 955. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15909, -15925, -15941, -15957?\nAnswer: -15973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-770 - -769)\/((-14)\/(-910))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(146*q - 243 + 243).\nAnswer: 292*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*a + 10*a + 7*a + 12*a)*(-2*a**2 + 4*a**2 + 0*a**2) as z*a + v + n*a**3 + m*a**2 and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 6235 + 6235. Let h(r) be the first derivative of r**2 - 1. Give m(h(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**7\/2520 - b**6\/120 - b**5\/60 + 5*b**4\/24 - b**3\/2 - 38*b**2. Let v(t) be the second derivative of f(t). Determine v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199\/42 + 29\/6. Let m = -132 + 2510\/19. Let z be (-9)\/(-2) + -3 - 2. Put m, i, z in ascending order.\nAnswer: z, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*((-1)\/4)\/((-80)\/(-5600)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -94a2c + -d?\nAnswer: -94a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10022 (base 3) to base 15.\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - g - 2*g + 247 = 0, -353 = -3*y - g. What is the second derivative of -y*j**3 + 31*j**4 + 118*j**3 + 149*j - 12*j**4 wrt j?\nAnswer: 228*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194009 * 0.257.\nAnswer: 49860.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7348843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 9*z**2 + 117*z - 25. Give l(16).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a - 74 - 2*a**2 + 3*a**2 + 78. Let j be 0 + 1 - (0 + -2). Let u be (2 - 0)\/((-2)\/j). Calculate i(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*z = -x - 0*x - 20, -z - 4 = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 3, 32, 77, 144, 239?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*m - 1941, m - 140*f - 477 = -143*f. What is the smallest common multiple of 135 and m?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.3 - -7. Put -3, 0.3, v in decreasing order.\nAnswer: 0.3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 338\/78 + -8 + 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a + -14122?\nAnswer: -14103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 403 - -3240234?\nAnswer: 3241142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2 and 1 + (-90)\/11 - -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 10*z - 2. Let r = 15 - 9. Let j = 1 + r. Is 13 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -3 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*x + 12*x + 9*x**3 - 10*x as n*x**2 + p*x**3 + t + m*x and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {m: 3, h: 9}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147075 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + i + 1. Let a be j(2). Let o be (-258)\/(-12) - a\/2. Solve 0 = -0*q + q + 5*s - o, 0 = -2*q + s - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5) + 5\/25. Suppose -417 = -f*g - 3*g. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -310300.6877 - -622.3677. Let w = -309680.3200017 - b. Let t = -2 - w. Round t to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 3*h**2 - 2*h + 2. Let w be b(-2). Solve -3*v = -v - w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790 = -5*h + 3*y - 220, 0 = 3*h - 3*y - 342. Let l be 3 + (-1)\/((-1)\/h). What is the first derivative of -l + 114 - 4*g + 4*g - 14*g**2 wrt g?\nAnswer: -28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 72*k**2 + 88*k - 736. Calculate a(73).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 2, b: 1}. What is prob of picking 2 u and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + 0*k**5 + 71*k - 72*k - 5*k**5 + 22*k**5 + 5*k**5 + (3 - 2 - 2)*(-k**5 - k**5 + 0*k**5).\nAnswer: 25*k**5 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {n: 7, m: 1, y: 6, s: 5}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - -0.8. Let k = h + -3.9. Let d = 0.9 + k. Sort 4, d, 2\/5 in descending order.\nAnswer: 4, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -399*k + 43. What is y(-3)?\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*c + 5 = 0, 3*c - 9 = -4*i + 8. Suppose 2*p + 4*o - 51 = 83, -i*o = 5*p - 351. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92136301?\nAnswer: 19, 4849279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12480 is divided by 12440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(3*q - 3*q - q) + q - 1 + 1 + 5*q - 4*q - 3*q - 5*q + 3*q + 0*q + 54*q - 8 - 2 + 9)*(-q - q**3 + q).\nAnswer: -49*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0*x**2 + 53*x - 53*x - x**2. Give m(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 16*j + 3. Let c be d(16). Solve -h + 4*x = 2*h - c, -3*x = -2*h + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 + 6558\/(-252) + 2\/(-14) and 49\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7369 - -1.905. Round d to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*a - 277520 = -293800 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60769041?\nAnswer: 3, 811, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4.6 (b) -687 (c) 1\/5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*c = -158, 2*c = 9*n - 11*n + 150. What is the remainder when n is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 82*i**3 + i**2 - i. What is u(1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 22 = p. Calculate the highest common factor of p and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = p - 23*d + 26*d, -5*d - 745 = -5*p. Suppose 0 = r - 106 - p. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47425.59 * 4.5\nAnswer: -213415.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 90 = -4*w, -2*b + 16*w = 17*w - 38. Calculate the remainder when 481 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 4*d**5\/15 - d**4\/8 + d**3\/3 + 7*d**2. Let i be w(1). Let h = i + -7. Calculate the highest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.0368 to 1 dp.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10980? (a) 2\/291 (b) -4 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33997.35 millennia in centuries?\nAnswer: 339973.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2220 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-3)\/(-9)*-5. Let v be (-114)\/(-304)*(0 + (-1)\/(-3)). Which is the fourth biggest value? (a) 5 (b) i (c) 0.1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/10*321259\/2. Let j = -16058 - s. What is the common denominator of j and 6\/(-21) + 459\/112?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22965807*j**2*w**4 + 2*j**2*w**2 - 4*j**2*w + 250*j**2 + 2*j*w**2 - w**4 - 657*w**2 wrt w?\nAnswer: -551179368*j**2*w - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 76*v - 774. What is the remainder when u(-26) is divided by 134?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993514267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2394*m**2 - 2*m - 16. Let l be h(-3). Is (l\/102)\/(2\/(-9)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5727, -0.2, -5 in ascending order.\nAnswer: -5, -0.2, 5727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -40. Suppose -c + 0*c + b = 0. Solve 0*f + c = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, e: 2, n: 1}. What is prob of picking 1 e, 1 r, and 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2*s - 2*s + (4*s**3 - s**3 - s**3)*(-2 + 0 + 4) + (1 - 1 - 4*s)*(-4*s**2 + 4*s - 4*s) + s**3 + s**2 - s**2.\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 5*t**4\/3 - 22*t**3\/3 + 4*t**2 + 25*t. What is i in l(i) = 0?\nAnswer: 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**3 - 16*i**2 + 3*i - 26. Give f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(2*(-4)\/8). Let f be (a + 1)\/(1\/(-2)). Suppose f*z - 2*c - 28 = 0, -z + 0*z + 20 = -3*c. Calculate the remainder when 43 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 342\/(-525) - (-20)\/35. Sort 1, w, 0 in increasing order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 2\/7, -614, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/12 + n**3\/3 - 5*n**2\/2 - 93*n - 1. Give b(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4556 (base 12) to base 2\nAnswer: -1111000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 12*r - 8*r - 480, -471 = -2*w - r. Calculate the highest common divisor of w and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:57 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/586 and -2\/293?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.22 - 90.42. Let k = 25\/3 + -8. Sort k, z, -3, 1.\nAnswer: -3, z, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -84*x**2 - 7*x + 168*x**2 - 85*x**2. Suppose -z + 0*z - 6 = 0. Let q(g) = -g**2 - 8*g. Determine z*u(t) + 5*q(t).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -24*s**3 - 5*s**2 + 19*s - 4. Let d(p) = -p**3 + p**2 - 3*p. Let h(m) = -5*d(m) - j(m). Let x(t) = t - 1. Determine -h(c) - 4*x(c).\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(832) - (1 + sqrt(832)))**2 - (-1 + sqrt(832) + 1).\nAnswer: -8*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i. Suppose l - 2*l + 3 = i. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173606032 + 173605952.000041. Let m = 129 - 209. Let t = m - j. Round t to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -6 - -3 - (-19 + 0)) + 5 + -5\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16 - 7 - 2*r**2 + 24.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 9758112?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*p - 20*p - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31622, -63759, -96402, -129551, -163206, -197367, -232034?\nAnswer: -267207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1332*g - 3*h - 2 = 1328*g, 0 = 4*h - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 12 - (2 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o + 396. Calculate y(2).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*b**3 + 115*b**3 + 44*b**3 + (-1 - 1 + 3)*(0 + b**3 + 0) to the form f*b**3 + q*b**2 + s + p*b and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 6:00 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + y - 4 + 2*y - 5*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -69*r + 5583. Let c be d(81). Let m(h) = -8*h - 1. Let i(a) = -a. Calculate c*m(l) + 51*i(l).\nAnswer: -3*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1346755679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 6*p**2 - 4*p + 2. Suppose 12 + 19 = 5*v - 2*h, -3*v = h - 12. Is n(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462357799 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1878 and 115\/354.\nAnswer: 110802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 d, and 1 q when four letters picked without replacement from {d: 3, r: 2, o: 4, q: 1, n: 4}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(12)\/sqrt(6))**2 + (sqrt(14)\/sqrt(7) - sqrt(2)) + -5 - (sqrt(98) + sqrt(98)*2 + 0 - -4*(1 + sqrt(98) - sqrt(98)))**2.\nAnswer: -831 - 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 410.\nAnswer: -1\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182476428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**7\/14 - 32*c**6\/15 + c**4\/6 - 809*c**3\/2 + 6*c + 152. What is the second derivative of b(r) wrt r?\nAnswer: 60*r**3 - 768*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8330 and -83\/63.\nAnswer: 74970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f + 3*t + 9, -2*f = 4*t + 10. Let z be 5*(f + 6\/(-15)). Suppose 3*c = z*s - 15, -2*s + s = -2*c - 6. Put s, -4, 0.3 in ascending order.\nAnswer: -4, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2.56107, 4.\nAnswer: -1\/2, 2.56107, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31.4 in 0.051, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -10. Let r = 5 - 1. Solve -p = -2*p + r*u - t, 0 = 4*u - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/5*(56 - -3).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4881921164 - 2*o**2 - 4881921164 + 284*o**3.\nAnswer: 284*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 89 = -5*j, 231 = -5*j + 8*h + 302 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*a - 2*a + 10, 10 = -2*a + 3*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*p + 10416 = -63*p - 83*p + 38*p for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420386342 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: (3360\/(-256))\/(-105) + 0\/(-2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-1)*(-23894)\/(-80872)?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*t - 7*w + 11*w, -3*w = -15. Calculate the smallest common multiple of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.95809 + 0.04191. Which is the nearest to 0? (a) -19 (b) 0.2 (c) -1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 788 - 782. Solve j*k + 8 = 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.003 - -0.003. Let o = -475\/11 + 43. Let m be (3\/15)\/(16\/(-30)). Sort v, m, o, -3\/2 in decreasing order.\nAnswer: o, m, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110430124 (base 5) to base 4\nAnswer: -1311331130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**40)**(-25\/2) assuming s is positive.\nAnswer: s**(-500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4989827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2\/3 + 4*k + 112\/3 = 0 for k.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -62, -4, -8\/5, -153?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 569.77 to the nearest integer.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 92. Let r be 1 - 10\/(-4)*n\/60. What is the biggest value in r, 12, 0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71396*b - 23795*b - 23796*b - 23808*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - z)*(0 + 0 + 4) + 114*z + 168*z - 107*z + (-1 - 2 + 4)*(-2*z + z + 3*z) + 2*z + 2*z - 2*z.\nAnswer: 175*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:16 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*(-96)\/24 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than or equal to 1\/536173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/22 + (-4)\/(-88)*-114.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c**5 - 20*c**4 - 265*c**3 + 190*c**2 + 500*c - 440 = 0. Calculate c.\nAnswer: -2, 1, 11\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-624)\/(-728))\/((-18)\/(-56))*(-65)\/(-10)*-3?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g. Let i = -248 + 248. Suppose -4*z + 22 = 2. Let t(u) = i*u - z*u + 4*u. Give t(h(m)).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/8 + 5\/24. Which is the closest to -1\/2? (a) s (b) -1\/8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2 - 6*g. Let z(m) = 4*m**2 + m**2 + m - 4*m**2. Let h = 19 + -13. Let x(c) = h*z(c) + a(c). Let j(r) = -2*r. What is x(j(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.52 - 0.5. Let c = 5.02 - z. Let x = 4 - c. Which is bigger: -0.07 or x?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-3\/7)))\/o)\/(o*o*o*o**(-1)*o*o*o))\/((o**1\/o)\/(o**(-5)\/o*o)) assuming o is positive.\nAnswer: o**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2448*n - 2444*n + 63, -4*h - 4 = 0 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:39 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5090 + 4990 = -27*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 1 - 8*w - w**2 + w. What is the units digit of p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 7*y**2 - 7*y + 2. Let z be r(-6). Suppose -c - 2*q + 7 = 0, 4*c + 2 = 3*q + z. Suppose c*a - 16 = -a. Solve -a*l + 4 = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/7)\/(a\/a**(-3)))\/(a*a**1)**(-3\/11))\/((a\/a**(2\/3))\/a**(-7)*(a**1)**(-37)) assuming a is positive.\nAnswer: a**(5956\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 42*x - 49*x + 12 - 17.\nAnswer: -91*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1297, -6309, -19905, -46375, -90009, -155097, -245929, -366795?\n\"Answer: -715*j**3 - 2*j**2 - j - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467493330 rounded to the nearest 100000?\nAnswer: 2467500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 436 (base 8) to base 10\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = 32*s - 4*p - 647, 15*p - 20*p = s - 17 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5934296 divided by 4.\nAnswer: 1483574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:17 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 2*w**2 + 2*w - 1. Let x be n(2). Calculate the common denominator of (3\/(-2))\/(x\/42) and -10\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 2. Let z(c) = 2*c - 1. Determine 4*t(s) + 7*z(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**5 - g**4 + g**2 + 1. Let y(s) = -28*s**5 - 3*s**4 + 3*s**2 + s + 3. Let c(n) = 3*m(n) - y(n). Find the second derivative of c(w) wrt w.\nAnswer: 500*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 4, h: 3, z: 2, v: 1}. What is prob of picking 1 q and 1 v?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 7*d**2 - 7*d - 6. Let g be l(-6). Let c(s) = s - 5. Determine c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*z**5 - 964*z**4 + 5808*z**3 + 8622*z**2 - 39231*z + 486 = 0. Calculate z.\nAnswer: -9, -3, 2\/161, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147 = 199*j - 2236 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.56, 9, -1\/4, 3\/5, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*d - 3*n, -6*n - 16 = 4*d - 2*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1666, -1465, -1262, -1057?\n\"Answer: y**2 + 198*y - 1865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4597*x**4 - 7*x**3 - x**2 - 11066*x + 9 wrt x.\nAnswer: -55164*x**2 - 42*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 1675716.\nAnswer: 16757160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10890 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753 + 992 = 2*n + 3*m, -2*m = 4*n - 3494. Suppose -2*t = -182 - 1566. Let h(f) = -n*f + t*f + f**2. Let g(b) = -10*b. Determine h(g(d)).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.72701723 to two dps.\nAnswer: 17.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*x**2 + 19334 - 19334 - 2202*x + 2202*x.\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -14 (c) 2\/173 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 6*m - 3. Let z be t(7). Suppose 3*b = -1 + 4, 0 = 3*v + z*b - 136. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, l: 1, m: 2, u: 1}. What is prob of sequence ddmd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*c = c - 296, -4*q + c + 234 = 0. Suppose 0 = 3*x - q + 16. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*k**2*v - k*v**3 - 26*v**3 + 2 with respect to k.\nAnswer: 50*k*v - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -116\/19?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 20 = 4*b, 6 = k + b. Factor 50\/7*u**3 + 16\/7*u**k + 2\/7*u**5 + 8*u + 16\/7 + 76\/7*u**2.\nAnswer: 2*(u + 1)**2*(u + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.5, 22\/7, -0.5, -280.\nAnswer: -280, -0.5, 0.4, 0.5, 22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127855256?\nAnswer: 2, 19, 109, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92397 = 2255*n + 15797 + 24851 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 4*k - 36. Calculate y(-10).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-636)\/(-840))\/(9\/(-36))*42\/12.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5393*n. Let f(g) = -3*g**2 + 67. What is f(i(j))?\nAnswer: -87253347*j**2 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0*w + 2*w - w) + (-4 + 2 + 3 + (0 - 1 + 3)*(3 + 1 - 3))*(1 + 3*w - 1).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -4*sqrt(19)*-3 + sqrt(19) - -1*sqrt(1216) - (6*(sqrt(95) + (sqrt(95) - sqrt(95)*1)))\/(sqrt(60)\/sqrt(3)))**2 + -5.\nAnswer: 6854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3. Let s = 9.93 - -0.07. Let r = s - 9. Which is the second biggest value? (a) o (b) 3\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01670600305 to 6 dps.\nAnswer: -0.016706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 5) + 7 + (-1 - -1). Suppose -3121 = c*j - 16479. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 9*n + 11. Let b be g(10). List the prime factors of b - -4 - 0\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27 - 0 - (60 - 49). Is f at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**3 - 56663*p**2 - 1417751*p wrt p.\nAnswer: 48*p - 113326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -20*o + 160. Determine x(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 - 72244*d + 216768 = 0.\nAnswer: -18064, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(29*z**3 - 6*z**4 - 29*z**3)*(2 - 2*z - 2).\nAnswer: -24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -12*z + 44*z - 0*z. Solve 0 = 4*y - 3*r - 14, -z = -3*y - 5*r - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 3*g**8\/14 + g**6\/15 - g**4\/6 + 5*g**3\/3 + 80*g. What is the third derivative of d(y) wrt y?\nAnswer: 1440*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3395a9 (base 13) in base 9?\nAnswer: -2258860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 0*y + 2*y + (-3*y - 2*y + 0*y)*(-6 + 0 - 4).\nAnswer: 55*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 14441755?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x - 1 + 1 + x**2 - 3. Let c be v(8). Suppose -6*j + c*j = 0. Solve 3*r = 3*t - 9, -4 = -t - j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 3*i - 2. Let d(q) = -3*q**2 - 4*q - 4. Let h be d(-2). Let x(p) = -p**2 - 8*p - 1. Let t be x(h). What is the units digit of w(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98669193?\nAnswer: 3, 7, 671219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mit when three letters picked without replacement from mqtia?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2385695 - -33.\nAnswer: 35.2385695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(-11*o + 145*o - 25*o) - 170*o + 6839 - 6839 in the form k + z*o and give z.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/24)\/(90\/(-80)))\/(6\/(-513))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -444 or -3543\/8?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 100*j**3.\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3163629, 3163717, 3163807, 3163899, 3163993, 3164089, 3164187?\nAnswer: 3164287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 27. Let t(k) = -161*k**2. Calculate q(t(s)).\nAnswer: -322*s**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5768717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/3 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 236*j - 5860. Determine b(30).\nAnswer: -2380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Suppose 2*t - 6 = -l, 4*l - 5*t + 2 = 26. Suppose 0 = 3*m - l*m. Let a(j) = j + j + m*j - j. Give s(a(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c*(c\/((c**(-2\/55)\/c)\/c*c))\/c)*c*c)\/(c\/c**(-2\/17)*c))\/((c*(c*c*c*c**4*c)\/c)\/c*c)**(-7))**36 assuming c is positive.\nAnswer: c**(1879776\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 2:11 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624035 divided by 7.\nAnswer: -624035\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.3. Let i = -240 - -534.5. Let j = -294 + i. Which is the nearest to 0? (a) 3\/4 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 937.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 1, c: 4, r: 8, f: 1, h: 1}. Give prob of sequence hrrc.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 158*k**3 + 3308*k**2 + 5928*k - 51984 = 0.\nAnswer: -38, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from nznnznnnxzxnnnn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n + 2*n**3 + 7*n**2 + 0 - 3 - 4*n**3 - 1. Let i be a(-5). Suppose 2*d + 14 = i. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 14) to base 3.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*b + 226*b + 8*b**2 - 3*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 10*b - 185. Suppose -b + 46 = -4*s. List the prime factors of 188\/5 + ((-6)\/(-15))\/s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 4 - 1663*c**2 - 4 + 2 - 198*c**2. Let a be t(6). What is a rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*b - 24136 - 19753 - 8687 = -187*b for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*s - 8 = 0, -5*s + 0*s = j + 20. Solve -c - 2*m - 5 + 1 = j, 0 = -c + m + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 79. Let t = 58 - h. Put -1\/2, t, -5, -1 in ascending order.\nAnswer: -5, -1, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 2*m**2 + m + 1. Let h be (-4)\/8 + (-10)\/(-4). Determine d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*p = -2*p + 137, 5*d = -p + 704. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -191*h*i**4 - 10*h*i**3 + 12426*h wrt i.\nAnswer: -764*h*i**3 - 30*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + -5 + -1 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/((-15)\/(-10)))\/19. Which is the second biggest value? (a) 0.05 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655390362?\nAnswer: 2, 23, 809, 44483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 305508 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3442 = -36*r - 3910 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let r(q) = -47*q**2. Determine y(r(x)).\nAnswer: -4418*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 7116095.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96493*u**5 + 65045*u**2.\nAnswer: -5789580*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 3*d**2 - 571*d - 497. Give u(26).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 334 + -331.826. Let n = y - 0.174. Which is the closest to 4\/3? (a) n (b) -1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/280)\/(762\/18 + -42)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1048 - 1128. Suppose 5*b = -3*s + 498, -3*s + 0*b + 498 = -b. Let r = s + l. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 10. Let j = 3 - o. Let t(r) = r**3 + 6*r**2 + 3*r - 6. Calculate t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12362387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 + -116. Let j = 594\/7 + -6143\/70. Find the common denominator of 136\/(-12)*(-27)\/q and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242223?\nAnswer: 3, 263, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*g - 0*z, -3*g - 3*z = 9. Suppose 10 - g = 4*j. Let -8*a**4 + a**3 - a**4 + 2*a**3 + j*a**2 + 4*a**2 = 0. Calculate a.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02406988 to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - f**3 + f**3)*(0 + f**2 + 0*f**2 + 2).\nAnswer: 4*f**5 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = 4*u + 5*j, 2*j + 5 = u. Let -6*k - 4*k**u + 5*k + 5*k = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = -0. Let g = 3 + -13. Let q be g\/35 - (1 - 1). Does t = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51731535 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from pjjaw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2041*z**3 + 649*z**2 + 7*z wrt z?\nAnswer: -12246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/5 + 3194*z**4\/5 + 679896*z**3 + 240909390*z**2 - 241589925*z = 0.\nAnswer: -1065, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5548 (b) 0.1 (c) 0.3 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Let b = k - -4. Suppose 5*a = -b*x + 2, 2*a + 2*a - 3*x - 20 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -165*u + 36. Let j(m) = -42*m + 11. Let p(z) = -4*h(z) + 15*j(z). Let v(g) = -g + 2*g - 4*g + 0*g - 2. Determine 2*p(q) + 21*v(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360575504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*f = 873 + 165. Which is the fourth smallest value? (a) -1\/321 (b) f (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(0 + (-6)\/15). Let v be -1589 - u\/(6\/(-3)). Let m = -6413\/4 - v. Which is bigger: m or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352869742 to the nearest integer?\nAnswer: 18785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**3\/3 - 110*p + 2. Suppose 8 = -12*s + 16*s. Let w(x) = -70*x + 2*x**2 + 70*x + 8*x**s. Give d(w(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 4. Suppose 5*a - 11099990 = -5*q, 2*q - 4580414 = j*a - 140408. Round q to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -308\/13 + 1909\/91. Calculate the common denominator of (-154)\/(-46)*12\/(-108) and u.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.3 (c) 1\/6 (d) 0.2 (e) -95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*y - 241, -3*y + 159 = 2*v - 0*v. Let z(n) = n**3 + n**2 + 2*n - 68. Let s be z(0). Let j = v + s. Solve -j*t + t = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 177\/8 (b) -0.1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 11. Let s = -26563952.5 - -26563941.49999972. Let r = s - j. What is r rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 83 = 3. Let m(u) = 5*u**2 + 1. Let c be m(1). Suppose -3*k = -c*k + 30. Calculate the highest common factor of g and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 36*y**2 + 38*y - 115. Calculate a(35).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, i: 1, c: 2, a: 7, e: 4}. What is prob of sequence eei?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (7 - -13)) + (2 - -5) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.98.\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -143 + 134 + -98 - -31.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, r: 2}. Give prob of picking 2 o and 1 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3449*f**3 + 2*f - 126212 wrt f.\nAnswer: -10347*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0587205118 rounded to 4 decimal places?\nAnswer: -0.0587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 89.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**15*d*d\/(((d*d*((((d*d**(-2\/17))\/d)\/d)\/d)\/d)\/d*d)\/d)*d*d*(d*d*d**(1\/9))\/(d\/(d**(1\/6)*d)) assuming d is positive.\nAnswer: d**(7159\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1508 is divided by 115?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqqbbbbbbxqbbqq. What is prob of sequence xb?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 3. Let m(p) = -2*p - 2. Let c(b) = 3*m(b) - 2*n(b). Let f(w) = -5360*w**2 + 2681*w**2 - 13 + 2681*w**2. What is f(c(y))?\nAnswer: 8*y**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 701 - 701. Let c = -200\/203 - -12\/29. What is the nearest to q in -5, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(12) + 6*sqrt(60)\/sqrt(5)))\/(3*sqrt(24)\/sqrt(54)).\nAnswer: -42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -298267 - -524188. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.16 (b) 3\/5 (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -91 + (-70870)\/(-1330) - (-2)\/(-7)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -150 and -543?\nAnswer: 81450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3130348 divided by -782587\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 - 4*l + 2. Let y be f(5). Calculate the remainder when 112 is divided by (-14)\/y - (-40 + 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.2 (c) -291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -443240120?\nAnswer: 443240120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -63237504?\nAnswer: -63237502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 27*i - 13. Let t be x(13). Let u be ((-5130)\/19)\/((-3)\/1200). Suppose 27*q - 33*q - u = t. What is q rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(96) - sqrt(96))\/sqrt(8) - (sqrt(588) - sqrt(588)*1))\/(2*sqrt(324)*-6) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2 + 7452*i + 6941538 = 0.\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.016 and -381?\nAnswer: 381.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (16 - 4\/(-4)). Suppose 0 = s*r - 110 - 130. Calculate the lowest common multiple of 90 and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 4.6 (b) -2.2 (c) -110 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/21 in -3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010448471 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 310116.4 millilitres?\nAnswer: 310.1164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81777375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 times 1.933\nAnswer: 0.46392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -57*o**3 - 727*o**2 + 181*o - 4. Determine b(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*b**2 + 5*b**3 + 17*b**2)*(-327*b - 121*b - 6711 + 6711).\nAnswer: -2240*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-66) - (-1364)\/2057. Put 5\/2, -1\/6, -2, h in ascending order.\nAnswer: -2, -1\/6, h, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 1d6c?\nAnswer: -1d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -53*b + 9*b. Solve 8*d - 5 = b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb1 (base 13) in base 12?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -199*n**5\/20 - 275*n**2\/2 + 296*n. Find the first derivative of l(q) wrt q.\nAnswer: -597*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011100001101 (base 2) to base 5\nAnswer: 422333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37678091.\nAnswer: 11, 3425281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) - (-16)\/3. Suppose -10 - 20 = -c*n. Let m be (-3 - -4)*(n + -1). Let o(a) = -a + 2. Calculate o(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3 = 3*u + 1, -5*n = -4*u + 5. Suppose -3*c - 70 = 2*c + 2*j, 4*j + 20 = 0. Let g be -2*3\/c*10. Solve 0 = -u*b - g*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 41*u**2 + 85*u - 62. Let x be j(-43). Which is the nearest to x? (a) -2 (b) -1\/7 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8589024881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + o - 1. Let p(r) = 8*r**2 - 3*r + 14. Let k(z) = p(z) + 4*q(z). Let i(w) be the first derivative of k(w). What is i(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280 divided by 4.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -1\/3*x**3 - 6*x - 6 + 2*x**2. What is q(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14081 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 0) + 6 + 8. Suppose 0*w - b*w = -101004. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -46863*k - 562352. Give b(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 0*z**2 - 4*z**2. Let q(c) = -c**2 + 0*c**2 + 0*c**2. Give q(x(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -504.2413 + 504.7. Let g = i + -0.447. Round g to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 2*d**2 - 5*d - 4. Calculate m(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -127\/9, -2\/5, 6, -1 in increasing order.\nAnswer: -127\/9, -1, -2\/5, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 21, 0.08, 0?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1086, -1150, -1268, -1440?\n\"Answer: -27*r**2 + 17*r - 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4\/3 - 132140*x**3\/3 - 83894404*x**2 - 123667708516*x\/3 - 123416157440\/3 = 0.\nAnswer: -31040, -997, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27361108 is divided by 91?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, -473118\/25 in decreasing order.\nAnswer: 0.4, -2, -473118\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6550767 is divided by 6550735.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*t**2 + 77681*t - 204327?\nAnswer: -28*t + 77681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 + 45*a - 2. Let j(q) = -2*q**2 - 23*q + 1. Let r(f) = -5*j(f) - 2*y(f). Let d be r(-13). What is the greatest common factor of 96 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*i = -1560*i - 77630 for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3564743568 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149 and 1232528?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 3*g + 117*g**2 + 0*g + 147*g**2 - 270*g**2 + 95 to n*g**2 + w*g**3 + d*g + a and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36112 and 133792?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2091 and 1968?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 6. Let l(z) = -2*z**2 + 7. Let g(c) = -2*l(c) - 3*p(c). Let v(h) be the first derivative of g(h). What is v(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 42, 77, 168, 333, 590, 957, 1452?\nAnswer: 2093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -3, 2\/11, -5 in descending order.\nAnswer: 2\/11, 0.09, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 2 f when four letters picked without replacement from {f: 2, e: 10, j: 3, o: 1, r: 3}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100112211202 (base 3) to base 9.\nAnswer: -315752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7935 + 3935 - 7*k + 3961 to the form g*k + z and give z.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(21\/(-6) - -2). Let p be (-1)\/((w\/(-3))\/8). Let t = p - 0. Sort t, -1, 0 in ascending order.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + c - 23. Let h = -439 - -439. Give o(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 + u. Let n be b(1). Let o(q) be the first derivative of -q**3\/3 - 7*q**2\/2 + q - 19. What is the remainder when 50 is divided by o(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3986206 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 27*b**5\/20 - b**2 + 2*b. Let y(s) be the first derivative of 2*s**3\/3 - 2. Determine y(i(x)).\nAnswer: 13122*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l - 3*l + 3*l + (4 + 0 - 2)*(-5*l - 4*l + 2*l + (0*l - 6*l + 4*l)*(3 + 0 - 1) + 3*l + l - l).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1 (c) -20 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 8:38 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 (base 6) in base 5?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 4*k + k**3 - 3*k)*(-1 - 2*k**2 + 1).\nAnswer: -2*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -1\/86 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + j + 0*j)*(29 - 10 + 7) in the form w*j + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 5.39\nAnswer: -10.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 962*q - 13521 = 15840 + 35093 for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 1217, 2751, 4899, 7661, 11037, 15027?\nAnswer: 19631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35880427 * -0.2.\nAnswer: 0.071760854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*q**3 + 1207 - 237*q**3 - 1207.\nAnswer: -141*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -8.67 (c) -1\/244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Suppose 0 = c - d*c + 3. Suppose -t = -0*t - 4, -94 = -c*z - t. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7819, 13167, 18515, 23863, 29211?\nAnswer: 34559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/5, -1, -727, 5\/17.\nAnswer: -727, -1, -1\/5, 5\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 552 = 4*b + 2*j, -3*b + 421 = -4*j. Suppose -g - 5*v = -10*v - 65, 3*g - 3*v = b. What is the greatest common factor of g and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 12*p**2 + 34*p - 9. Let y be z(9). Let h be (-3)\/(3 + y\/(-15)). Solve w + 2*f = f - 7, -32 = h*w + 4*f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(1215) + sqrt(1215))\/(((sqrt(6) + sqrt(6)*-4 + sqrt(6))*-5)\/sqrt(2)).\nAnswer: -27*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 2*t**2 + 185*t - 1093. What is y(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1837.79 and -296064064.\nAnswer: -296062226.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 29 - 24. Suppose -2*p - 264 = 52. Let k be 21\/(-6) - -5 - (-245)\/p. Is k <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -40677 in increasing order.\nAnswer: -40677, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -16) + (-4)\/(8\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 10:04 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 38*z**2 + 48*z + 739. Let k be m(-39). Which is greater: k or 2718\/7?\nAnswer: 2718\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffy when three letters picked without replacement from {v: 2, y: 3, f: 3, q: 2, e: 1, u: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*j + 3*j + 41, -20 = 4*j. Let q = -49 - -46. Put 0, q, b in descending order.\nAnswer: b, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 47 = -b, -50 = -b - 2*f - 15. Let n = -183 - -183. Suppose -2*s + 18 + 51 = -r, n = s - 3*r - b. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 4 - 30 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4906*u + 269. Let p(t) = -4905*t - 202. Give -3*m(f) - 4*p(f).\nAnswer: 4902*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(44)\/sqrt(4)) - sqrt(3)) + (0 + sqrt(300))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-30))\/(13\/(-39)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6*m**(-2\/11))\/(((m\/(m*m*m**1))\/m)\/m)**38)\/((m\/(m\/(m\/(m\/(m*m**2)))))**(4\/43))**8 assuming m is positive.\nAnswer: m**(73592\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(363) - (sqrt(363) + (sqrt(363)*-2 - sqrt(363))) - sqrt(363)).\nAnswer: sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -185 (c) -3 (d) 1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*a + 3*a, -5*b - a = 8. Let u = b + 30. Calculate the remainder when 111 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 minutes before 1:28 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(4)\/sqrt(2)*-4*6*-1 + 3*(3*sqrt(36))\/(sqrt(20)\/(-2*sqrt(10))))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -1 (b) -3\/68 (c) -1\/4 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110011001 - -1?\nAnswer: -10010110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108203 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114920*o = 114921*o - 5*d - 59, 42 = 5*o - 2*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Let n = 13 + -13. Let s be ((-12)\/80)\/((-12)\/10). Put k, s, n in descending order.\nAnswer: k, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (9 - -15) - (1 - -28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*i + 31, 7*i - 2*i = 3*t - 19. Let k = 43 - t. Find x such that 7*x - 2*x**5 + 10*x**4 + 10*x**4 - 18*x**3 - 20*x**2 - k*x**3 + 43*x = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d66 (base 16) in base 13?\nAnswer: 173b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76107011*v**2 - 7258937 wrt v.\nAnswer: 152214022*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n + 465*n**2 - 459*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c**2 + 89*c + 1. Let d be f(-9). Let h(r) = -d*r**2 + 66 - 66 + 12*r**2. Let s(x) = -48*x - 2. Determine s(h(u)).\nAnswer: -96*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2219542 = -2*h - 4080458. What is h rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616515355?\nAnswer: 5, 241, 511631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1376 and 82.\nAnswer: 56416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52244430 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -554495\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 728 = 4*h. Suppose 5*f = 3*c + 228, 3*c + h = -2*f - 137. Let v = -71 - c. What is the highest common factor of 45 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 2, d: 1, o: 3}. Give prob of sequence fo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34408 and 4664584.\nAnswer: 872277208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528570 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -34*g + 82. Let k(y) = 49*y - 125. Let t(n) = -18*k(n) - 26*x(n). Determine t(-50).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f - 53*f = t - 40, 5*f - 5*t = -50 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8044 (base 9) to base 11\nAnswer: 4459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4093167, 8186334, 12279501, 16372668, 20465835, 24559002?\n\"Answer: 4093167*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 5, 0.\nAnswer: -7, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160494, 642232, 1445130, 2569188, 4014406, 5780784, 7868322?\nAnswer: 10277020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22684 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4670 - -6471. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3229?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-5))\/((-16)\/32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:48 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21377 + 6*p - 7477 - 13901.\nAnswer: 6*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*p**2 + 23470*g**2*p + 526*g*p**3 + 9*p**3 wrt p.\nAnswer: -6*g**2 + 3156*g*p + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 7*i + 2. Let n = -19 + 32. Let w(y) = -2*y**2 + 15*y - 5. Let s(c) = n*l(c) + 6*w(c). Let d be 2*(21\/6 + -5). Give s(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3327518?\nAnswer: 2, 29, 103, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2540507347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.37 - -0.23. Let k = -1.4 - s. What is the smallest value in k, 0.3, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384226563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121582 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -2*d**6\/15 + 121*d**4\/12 - 19*d**2\/2 - 236*d. Differentiate z(i) with respect to i.\nAnswer: -16*i**3 + 242*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 14*t - 15*t + 230, 20 = 4*t. Let k = 238 - y. Calculate the remainder when 38 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485701 is divided by 6460.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 9. Let d be p(-7). Suppose -3*r + 194 = a, 4*r - 221 - 56 = -d*a. Calculate the remainder when r is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680*c + 1099*c - 519*c - 157*c + 1149*c - 117*c.\nAnswer: 2135*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7\/20 (b) 2\/127 (c) 3 (d) -0.3 (e) 2\/19 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1931*j = 2192*j - 6786 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1951.\nAnswer: -3\/1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -477, -478, -479, -480, -481, -482?\n\"Answer: -n - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3081*i + 3078*i - 1.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.038 - -4.998. Let h = t + 0.04. Which is the second biggest value? (a) 0.4 (b) h (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -685 - -4111\/6. Let j(s) be the second derivative of -4\/3*s**2 + 11*s + v*s**4 + 0 + 0*s**3 - 1\/30*s**5. Factor j(h).\nAnswer: -2*(h - 2)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12571 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6151594 is divided by 6151584.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 w, and 1 q when four letters picked without replacement from bwqoqsoosooso.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aldaaaaaadaaata. What is prob of sequence tal?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116731300 a multiple of 1850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 675393414?\nAnswer: 675393414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/20)\/((-3)\/2)*60. Suppose 4*t - x - z = 0, 2*x = -6 + 10. Solve o + 4*u = -u + t, u = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -847542.3502 to the nearest one thousand.\nAnswer: -848000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 42. Let z = r - 29.084. Let f = z - -0.0738. Round f to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 9309.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:16 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 55.77, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*n + 48. Let y be ((-32)\/n)\/((10\/3)\/5). Let r(w) = -w**2 + 4*w + 1. Give r(y).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-4*p - 1 + 1) + (39 - 29 + 40)*(-4*p + 3*p + 3*p).\nAnswer: 92*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -28*j**4 - 4*j**3 + 4*j**2 - 23. Let b(n) = n**4 - n**3 + n**2 - 1. Let v(k) = -4*b(k) + f(k). Differentiate v(y) wrt y.\nAnswer: -128*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 56664?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52236798?\nAnswer: 2, 3, 31, 280843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16139420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 133481575 to the power of 1\/3, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/9 + 58*a\/9 + 6424\/9 = 0.\nAnswer: -44, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1219, -2431, -3631, -4813, -5971?\nAnswer: -7099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = 0, 3*a = -4*x + 11 - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101661561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 1.4. Let b = -0.24 - k. Let t = -0.36 + b. Put 2, t, -1\/11 in descending order.\nAnswer: 2, -1\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:26 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -5*t - 53. What is the third derivative of -7*m**4 + 4*m**2 - 13*m**t - 2*m**2 + m**3 wrt m?\nAnswer: -168*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 686462 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20304 + 20361.8. Put -5\/3, a, 5 in descending order.\nAnswer: a, 5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlqj when four letters picked without replacement from qdddjljjdqq?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s + 113*s - 49*s - 47*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b**2 - 11*b + 21. Let k = 417 + -407. What are the prime factors of f(k)?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16a2067 - -2?\nAnswer: 16a2069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, -27, -1 in descending order.\nAnswer: -1, -2, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4430, 4428, 4440, 4478, 4554?\n\"Answer: 2*p**3 - 5*p**2 - p + 4434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2. Let k be (-2)\/(-12) - (-4)\/(-24). Let v(m) = k*m**2 + 3*m**2 - m**2. Calculate s(v(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = u + 10, 32 - 7 = 5*z - 4*u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-1))\/(9 + -11). Is -2 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*r + 3 = 0, -5*r - 23 = -5*p - 3*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 - 55192032*i + 190385024768064 = 0 for i.\nAnswer: 6899004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-9)\/5) + (-400)\/(-30). Is c < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/((-1)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61 and 289481.\nAnswer: 17658341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.9 + 7294?\nAnswer: 7274.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**6*(r**(1\/6))**(-4\/5) assuming r is positive.\nAnswer: r**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i + 268*i**3 + 244*i**3 + 208*i**3 + 835*i**2 + 3*i wrt i?\nAnswer: 4320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/12 - i**2\/2 + 7*i - 316. Let j(k) = 2*k**2 + 7*k - 2. Calculate -j(r) + 3*n(r).\nAnswer: r**2 - 7*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1382.88 + 1383. Which is the second biggest value? (a) 11 (b) f (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 20 = -3496*q + 3495*q, 0 = 4*q + 4*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 9:47 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2625194068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1221762 or 1221761?\nAnswer: 1221762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 5*w - 351. Calculate the least common multiple of 102 and q(-15).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5324075 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -51*p - 558. Let z(g) = -52*g - 556. Let l(s) = 4*y(s) - 5*z(s). What is the derivative of l(x) wrt x?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 2. Let s be g(3). Does 4 divide s + 1*(-3 + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.458 + 1.458. Which is greater: 202\/3 or v?\nAnswer: 202\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1001001110100011010110101?\nAnswer: -1001001110100011010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35806)\/(-6))\/(9\/(-5)). Let f = q + 3315. What is the common denominator of 53\/9 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 125 - (2 - -67)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.7 (b) -1\/5 (c) 5 (d) 1.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*t + 22. Calculate the highest common factor of 49 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/332 and -51\/8144.\nAnswer: 675952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 213030 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {r: 1, u: 2, e: 2, d: 3, c: 1, w: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411 - (-5 - (-3 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 - -180. Calculate the highest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3\/1)\/(63 + -80).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-3 - (16 + -68 + -20))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/(-196)*(-27)\/198?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 76 + 44. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 8) to base 5\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -177, -380, -679, -1080, -1589, -2212, -2955?\nAnswer: -3824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95332716007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/48)\/(((-265)\/(-250) - 1)\/((-6)\/(-5)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 3*i**2 - 2*i + 4. Let p be (15\/6)\/(5\/4). Let l be r(p). Let s = 24 + l. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m - 12. Let c be k(5). Let p = c + -25. Solve p + 12 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.53663nm to meters.\nAnswer: 0.00000000953663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/6 - g. Let q be (61\/(-244))\/((-1)\/120). Let c(h) = 10*h**2 - 2 - 11*h**2 + 2 + q*h**2. What is b(c(u))?\nAnswer: 1682*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841532 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 172553005.\nAnswer: -51765901.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -110435051 (base 7) in base 5?\nAnswer: -3201231101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*j**2*r**3 + j**2*r**2 - 3*j**2 + 15 with respect to r.\nAnswer: -399*j**2*r**2 + 2*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65082, -65030, -64978, -64926, -64874, -64822?\nAnswer: -64770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -599 in -0.8, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6285504143 = -117*r - 734907143. What is r rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {m: 7, c: 1, l: 4, h: 1, j: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1285100 by 9050.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 21. Let p be m(0). Let b be (-7)\/p*-3*3. Solve 3*x = -2*c + 7 - 22, 2*x - c = -b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200456 (base 8) to base 2.\nAnswer: -10000000100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*(sqrt(80) - (sqrt(80) - (2*(sqrt(80) + 1) + sqrt(80) - sqrt(80))**2)) + -4*((sqrt(80)*-1 + -5)**2 - sqrt(80))).\nAnswer: -1524 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1921549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/33*15\/((-540)\/528)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 - 179 + 438 + 135 + 136 - 2*c + 0*c.\nAnswer: -2*c + 358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*z - 5*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 50514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2136473151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14682493 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6112806 to the power of 1\/2, to the nearest integer?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*y - 3*y. Let b(x) = 118*x - 14. Let k be b(y). What is the highest common factor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1003, -999, -993, -985, -975?\n\"Answer: l**2 + l - 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0 + (1 + 4 - 6)*(-1 - 3 + 3) + 3 - 2 - 3)*(4*d - 38*d + 3*d) to the form z + u*d and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - s + 3, 29 = -3*y - 0*y - s. Let z(i) = -2*i**2 - 3*i - 1. Let x(d) = 5*d**2 + 8*d + 3. Let r(o) = y*z(o) - 3*x(o). Calculate r(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/240 + 341*h**4\/24 - 204*h**2 + 2. Let l(y) be the second derivative of w(y). Let a(b) = 4*b. Determine l(a(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -46, -101, -176, -271?\n\"Answer: -10*g**2 - 5*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**3)**(-31)\/(b**1\/(b\/b**11)) assuming b is positive.\nAnswer: b**(-166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61285 divided by -103.\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*g - 3*y, 3*g - 25 = -5*y + 19. Let p be 3*-1*g\/(-297). Let s = -3.5 + 3. Put 1\/2, p, s in decreasing order.\nAnswer: 1\/2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 446 = 119. Differentiate 20 - p + 13*z + 12*z - 128 with respect to z.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 5495171185953.\nAnswer: 5495171185952.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - h**3 + 4*h - h**2 + 2*h**2 + (2*h - 1 + 10*h - 4*h)*(2*h**2 - h**2 + 7*h**2).\nAnswer: 63*h**3 - 7*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 16*z - 192.\nAnswer: -(z + 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 2650?\nAnswer: -10600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 c when four letters picked without replacement from {c: 12, w: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wux when three letters picked without replacement from {y: 2, u: 3, b: 3, x: 1, v: 2, w: 7}.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199095621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405117573 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3186991 - 15829499\/5. Factor -6\/5*n**3 + i + 468\/5*n**2 - 12168\/5*n.\nAnswer: -6*(n - 26)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/(-63) + 1610\/392*-12?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-4) + 30\/16. Let s = -2.31 + -48.69. Let j = 56 + s. What is the second biggest value in j, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15070575?\nAnswer: 3, 5, 13, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/55 in -2\/7, 0.01, -1.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/7 - 34*w**2\/7 - 160*w\/7 - 128\/7 = 0. Calculate w.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 16*b**2 + 3*b - 14. Let v be a(8). What is the hundreds digit of (v\/(-2))\/5*-298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1663?\nAnswer: -6652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067948 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 250 + 202 = -6*u, -u = 4*o - 3*u - 80 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -769 - -785. Solve 7*s - r = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1636467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 87. Let w be (-54)\/(-7) + 10\/g. Suppose -4*x = -3*f - 0*x + 3, w = f + x. Solve 0 = -f*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*j + 74, 3*m - 1126 = -2*m - 4*j - 1218 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Let f be (-6)\/12 + (-1)\/(6\/9). What is the smallest common multiple of ((-3)\/g)\/(f\/10) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 12*v + 11. Suppose 10*o + 145 = 175. Let w(f) = -f**2 - 11*f - 12. Let d(g) = o*h(g) + 4*w(g). Find m, given that d(m) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pispsisssssip. Give prob of sequence ss.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1816 divide 34956965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:21 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1305 and 3375.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = u - 106 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66\/44 + 133\/2.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*b + 69 = 0, 0*f + 49 = 3*f + b. Let r be (-9)\/6 - (-18)\/4. Suppose -r*a = 2*a. Solve a + f = -3*h - 5*z, 4*h - 2*z = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.009 and 443862568.436.\nAnswer: 443862568.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421 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: Let v = -53 - -55. Let f(x) = 2 + 9*x**3 + 5*x**v - 27*x + x**3 + 21*x. Does 5 divide f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468620 divided by 123?\nAnswer: -11940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 2*o**3 + o**3)*(-7*o**2 - 22*o + 22*o).\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m + 4. Let k(u) = u**3 - 10*u**2 + 25*u + 2. Let t be k(5). Give f(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 2 - 3 - 2 + m**2. Let g be n(-2). Solve g*p = 5*y - 15, 2*p + 2*p + 6 = 2*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -21. Suppose 3*z - 2 = -n, -q*n - z = -3*n - 10. Solve 1 = -k - n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -284 + 434. Suppose -2*w - 8 + t = 0. Suppose -4*j - 7*p = -12*p - 119, 4*p - 56 = -j. Calculate the remainder when w is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -387 and -1.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 3:47 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - j = 15 - 26, 4*j = -5*l. Let c be 272 + l\/4*8. What is the greatest common factor of c and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15 and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Let k be (-1)\/10*2 - 567\/(-135). Put k, -3, y in descending order.\nAnswer: k, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -4)*1*18. Suppose 0 = 2*q - q + 2*g + 7, -b = -q + 3*g. Suppose -q*n - 3 + 6 = 0. Let d(z) = 2*z**2 - 1. Give d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.309 - -2.309. Which is the biggest value? (a) 0.1 (b) s (c) -4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 1364.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -2\/69 (b) -11 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) - (-2 + sqrt(28))).\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/7)\/t**(1\/52)*t**(-5\/4)*t\/(t\/(t**(-22)\/t*t)))**(-9\/7) assuming t is positive.\nAnswer: t**(39285\/1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31cb6 (base 16) to base 2\nAnswer: 110001110010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 570 - 543. Let r be (9 - s\/9) + -6. Is 3\/149 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/24890 and -41\/10238305.\nAnswer: 389055590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + ((sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432)*-1 + sqrt(432))) - sqrt(432))) + -2)**2 - (0 + sqrt(432) + (-3*sqrt(432)*2)**2)).\nAnswer: -15540 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*s**2 - 3634300*s - 11741856.\nAnswer: 2*(s - 139784)*(13*s + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 227815854 a multiple of 2219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82 or -13917?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6225\/(-45))\/(110\/66)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87757.18 millilitres in litres?\nAnswer: 87.75718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 plus 1.03858392?\nAnswer: 4.33858392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1863826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + -2 + 3) - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = -4*u + 1764. Suppose a + u = 7*a. Let d = 47 - a. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320750451 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7787.109 rounded to the nearest 100?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 74. Suppose 5*d = -7 - 8. Let r be ((-1)\/d)\/((-2)\/(-12)). Which is the second biggest value? (a) 3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-165)\/(-40) - 4 - ((-47229)\/(-56) + 7). Is -849 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63891323\/480 + -133107. Calculate the common denominator of l and -157\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(2*d - 4*d - 3*d) + 5*d - 5*d - 2*d + (2*d - 3 + 3)*(3 + 3 - 5 + (3 - 4 - 1)*(2 - 1 + 1)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 6:54 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i - 16*i - 84*i)*(i**2 + 7*i**2 - i**2).\nAnswer: -616*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5448011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21343133 (base 5) to base 3\nAnswer: 100100122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9920.1 + -9920. Which is the nearest to n? (a) -40.8 (b) 2\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**4\/4 + 17*g**3\/3 - 13*g**2\/2 - 43*g + 19. Let s be q(16). Solve -3*c + c + i - 2 = 0, -19 = c - s*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*l**3)*(-2*l - l + l)*(-3*l - 4*l + 4*l).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(847) - sqrt(7)))**2 - -6*(sqrt(52) - sqrt(13)).\nAnswer: 13\/100 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/441416 and -11\/441416.\nAnswer: 441416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -3*k - 526. Let g(n) = n - 1. Let w be 4\/6*3\/(-2). What is w*o(i) + 3*g(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*y**3 - 597*y**2 + 2*y + 188813?\nAnswer: -138*y**2 - 1194*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145841283 divided by -2859633?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.671 to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 16. Let w be l(6). Suppose -n + 18 = -4. Suppose w*g + 0*g = n. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/9 (b) 0.236432 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 972655645 and -101.6.\nAnswer: 972655543.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Let o(h) = h**2 - 1 + 4 - 3*h + 0 + 0. Give o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/30 - u**4\/6 + 6*u. Find the third derivative of v(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from yqmtymrz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s = -32 - 108 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 48.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/44748 and 41\/136532?\nAnswer: 138853044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukbtktbtbwkbtw. Give prob of sequence kww.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 7. Let i(q) = -4*q + 8. Let r(t) = 5*i(t) - 6*v(t). Suppose -10 = 2*g + 3*g. What is the units digit of r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 6533679.\nAnswer: -2613471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 1\/165*b**6 - 2\/33*b**3 + 5\/1848*b**8 + 0 + 3*b**2 - 1\/33*b**5 + 0*b - 3\/44*b**4 + 4\/385*b**7. Suppose m(a) = 0. What is a?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 5)*1.\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33\/40 - 6\/5. Let f be (5\/15)\/(2\/6). Which is the nearest to -0.4? (a) f (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.9 (b) -4\/19 (c) -0.2 (d) -298 (e) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2737.96 - -2738. Put 0.3, 2\/3, 7, c in decreasing order.\nAnswer: 7, 2\/3, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*a + 20, 1 = 3*b - 2*b + a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + v**2 - 4*v**2 + (-5 + 3 + 1)*(v**2 + 4*v**2 - 4*v**2) + 5*v**2 - 12*v**2 + 5*v**2 + (-5*v + 4*v - v)*(6*v + 2*v - 3*v).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -i + 20694, 10*m = 5*m - 2*i + 34489. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10802 and 22?\nAnswer: 10802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(2\/63)\/w*w)**(-5\/2)*(w\/w**(-11\/5))**(2\/45) assuming w is positive.\nAnswer: w**(-864\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(198) + 2*sqrt(198)))\/(sqrt(132)\/(1*sqrt(12)*1)).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -311*f**3 + 3*f**2 + 3. Let a(s) = 2175*s**3 - 20*s**2 - 20. What is -3*a(q) - 20*d(q)?\nAnswer: -305*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/6928195 and -93\/154820?\nAnswer: 27712780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwyyiy. What is prob of sequence diwy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 823*z + 819*z - 1644*z + 1762 + (-5 + 4 + 2)*(-3*z - z + 2*z).\nAnswer: -4*z + 1762","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10349, 41546, 93607, 166532, 260321?\nAnswer: 374974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*s**5 + 105*c*s + 53*s**6 - 5*s**2 wrt s.\nAnswer: 60*c*s**2 + 6360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143854?\nAnswer: 2, 17, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/(-55))\/((-2)\/(-110)). Let v = 74 + n. Calculate the remainder when 58 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Suppose 0 = -10*s + 154 + 146. Suppose -150 = -12*k - s. Calculate the greatest common factor of k and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12) - (-10)\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 135 = -4*x, 5*x - 2*z - 153 - 19 = 0. Calculate the remainder when 189 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 224*n + 232. Let a be m(5). Is 43 a factor of a\/14 + (-5)\/(140\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*j**2 + 2\/5*j + 0 + 2\/5*j**3.\nAnswer: 2*j*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -21. Calculate the remainder when u is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 216 = -m. Are -22 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2230 = -2*i - 2*c, 0*i + 5*i = 3*c + 5535. List the prime factors of i.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 2, m: 1, g: 1}. What is prob of picking 1 x and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavvvvvvaav. What is prob of picking 1 v and 1 a?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -115474*g. Let f(i) = 2*i. Give m(f(z)).\nAnswer: -230948*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 7 = 1. Let p(l) = 15*l**2 - 3*l - 2. Let s be p(a). Let v = s + 37. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 2. Let s be t(0). Let r(c) = -3 + 3 + 7*c**2 + c**3 - c - s. What are the prime factors of r(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 4\/9 (c) 2\/3 (d) 6880\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - -69. Let k = 107 - i. Suppose k = -5*n + 3739 - 1129. What is n rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8976 and 34067?\nAnswer: 27798672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020565?\nAnswer: 5, 7, 13, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6 - 2*y + 7 - y**2 + 16*y**3 - y**2 - 15*y**3. Determine k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28537.978 and 4.\nAnswer: -114151.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 30*m**2 + 2 + 13*m**2 - 2 in the form l + f*m + s*m**2 and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-694)\/(-25) - 10446\/(-43525).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - 1b8?\nAnswer: -19f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -4*-1*1. Let h(l) be the third derivative of l**5\/60 - l**4\/6 + l**3\/6 - l**2. What is the units digit of h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 245328 and 8608?\nAnswer: 490656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 1. Let b be t(1). Let r be ((-40)\/24)\/(15\/(-18)). Let w(s) = -2*s - s + b*s - r*s. Let p(d) = 3*d**2. What is p(w(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkphkkfhffhphf. Give prob of sequence fffp.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2924*v**2 - 17392*v + 945. Calculate g(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z + 32. Let n be h(8). Suppose -6*i = -4*k - 4*i + 752, -n = 4*i. What are the prime factors of k?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -47, 4, 6, 5, 355 in decreasing order.\nAnswer: 355, 23, 6, 5, 4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 4*w + 2. Suppose q - 10 = -5. Suppose -5*b + 41 = -q*l + 6, -4*b - l = -8. Let x be o(b). Solve 3*g = -2*g + x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2 + 3*x**2 - 5 - 11 - 5*x - 11*x. Let b(q) = 3*q**2 - 15*q - 14. Let l(p) = 4*b(p) - 5*v(p). Let u(f) = -f**2 + 7*f + 5. What is 6*l(y) - 17*u(y)?\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - 12)\/((-4)\/16*-6). Which is the nearest to 5? (a) -1\/11 (b) -1.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -23. Let u(s) = -19*s + 8. Calculate the remainder when u(-1) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924, -914, -904, -894?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - r + 12, -3*x + 36 = r - 0*r. Let b be (3 - 0)*(5 - x\/3). Find the third derivative of 28*n**3 - 7*n**2 - 85*n**b + 38*n**3 wrt n.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 54*b - 968. What is w(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 5*u**9\/504 - u**5\/60 + 2*u**2. Find the third derivative of x(g) wrt g.\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 2 - 4 + 7 - 4 + 6. Let s(g) = g**3 + 3*g**2 - 4*g - 5. Let v be s(-4). What is p(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(176) - sqrt(176)))**2 + 3*(2 + sqrt(176)).\nAnswer: 36*sqrt(11) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + ((-2 + (sqrt(3) - ((1 + sqrt(3))**2 + sqrt(3)))*-6)*-4 - (sqrt(300) + (sqrt(300)*1 + -2 - sqrt(300))**2 + -4))).\nAnswer: -58*sqrt(3) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1161 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (190\/(-16))\/((-22)\/176) and 323.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 u when three letters picked without replacement from {x: 4, t: 1, u: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/112 and (-601)\/80 + (-22)\/((-572)\/182).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2 - 2)*(0*o + 6*o - 4*o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 + 7*z. Give c(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppjg when four letters picked without replacement from {j: 1, p: 1, f: 2, g: 1, t: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 2*j. Let i(k) = k + 8. Let d be i(-4). Suppose 3*t = d*t. Let y be 0\/(-2) - (-1 - t). Let s(a) = -a. Determine y*z(p) + 4*s(p).\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2345295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r - 6. Let l(w) be the second derivative of w**3\/3 - w**2 + w. Let p(t) = 2*f(t) + l(t). Let a(x) = x. What is a(p(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/15 - (-10)\/25. Suppose -6 = -5*h + 2*h. What is the greatest common divisor of h and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 2 + 2 + (3 + 2*b - 3)*(-2 + 1 + 2))*(-20376 - 561*b**3 + 20376) in the form o*b**3 + r + y*b**4 + x*b**2 + z*b and give y.\nAnswer: -2244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 120\/65 - (15 - 10)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 divided by -232?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + c = -31, 0*c = -o - 6*c. Calculate the highest common divisor of o and 372.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 4*a**4\/3 - a**3\/2 + 2*a**2 + 6*a. Let j = 28 + 55. Calculate the remainder when j is divided by s(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124113.2 rounded to the nearest one thousand?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -6\/5 + 33\/5*u**2 - 21\/5*u + 66\/5*u**3 - 72\/5*u**4 = 0.\nAnswer: -1\/2, -1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5 - 9. Let o(d) = d**3 + 7*d**2 + d + 7. Let t be o(m). Which is the nearest to -0.2? (a) t (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(7\/(-21)*-6))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.3. Let o be -126 - -130 - 1*3. What is the nearest to o in -2, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9688 and 83\/2768.\nAnswer: 19376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = t. Sort 3, -3, t.\nAnswer: -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3163, -3176, -3189?\n\"Answer: -13*s - 3150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9265 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-318)\/(-9)*1*36\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - a**2 - 3*a + (a - 2*a + 3*a)*(3 + a - 3) - 436 + 469 + 41*a**2 - 14*a**2.\nAnswer: 28*a**2 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-18 + 5 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5) - (-2 + sqrt(5)))*5)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = f, 0 = 3*y - 6*f + 5*f - 3. Let s(u) = u**3 - u. Give s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 8*l**2 + 8*l - 3. Let i be r(7). Suppose 0 = -i*s + 2*s + 10. What is the remainder when 9 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 3*f - 13. Let y be b(-6). Let m = 58 + y. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.199 in 4, 2, 0.1, 5, 1\/44?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -989473 by -272.\nAnswer: 989473\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -11*c - 118. Suppose -j - 4*x - 2 = -1, 4*x = -4*j + 8. What is the hundreds digit of c - (-80)\/(-30)*j\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.53249*2\nAnswer: 1.06498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 64.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 3*c, -3*c = -2*l + 17 - 19. Which is smaller: c or -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - q**2 - 5*q + 2. Let x(t) = -3*t - 3. Let v be x(-2). Let p = v - -6. Suppose -6 = -5*f + p. What is r(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/110 and 39\/121?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 875 and 882770?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 521*n + 36144. Give p(62).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.437 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 102 + 130 = 0. Solve b - 3*p - i = -p, 3*p = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 x when three letters picked without replacement from xxdaee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/120 + p**5\/3 + 9*p**4\/8 + 5*p**3\/2 + 8*p**2. Is o(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8918, -0.4, 5, 1.\nAnswer: -0.8918, -0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.90044 rounded to 2 decimal places?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000323387 rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*j, -1 = -5*t + 10*t - 4*j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.144 + -0.011. Let z = y + -0.823. Round z to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*p = 26*p + 234 - 3989 + 545 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681 - 7205 = 248*z + 684*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*h**2*s**3 + 3*h**2 + 5*h*s**3 - 2*s**3 - 11696*s wrt h?\nAnswer: -108*h*s**3 + 6*h + 5*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 179*j - 3. Let p(s) = -s - 1. What is -p(o) + t(o)?\nAnswer: 180*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 13394 + 4946. List the prime factors of b.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 2*r + 24, -2*s - 2*r = r + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 31*j - 6. Suppose -2*t = -j*t + 96. Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -0.1. Is -1\/5 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-13)\/(3 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/8330 and 119\/66.\nAnswer: 274890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 10, -8, 2, 1\/2, 1959\/5, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -219 - 60*i + 27\/2*i**2 - i**3. Let s(b) = 0. What is b?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 24\/11, -1\/11, -9, -5\/6, 0, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105547 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: Let a(i) = 5*i**2. Let z(s) be the second derivative of 0 - 22*s + 0*s**2 + 5\/6*s**3. What is a(z(o))?\nAnswer: 125*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 369\/15 + 2*(-15)\/50 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1043 + -1025. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and (5 - 4)*-7 - 2881\/(-67)?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 155*p + 59*p + 163*p - 23 + 165*p - 4 - 541*p.\nAnswer: p - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007749666 rounded to six decimal places?\nAnswer: 0.000775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-10 + (-2 - -12) - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 103257?\nAnswer: -103264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qai when three letters picked without replacement from {q: 3, e: 5, z: 1, a: 3, i: 5, k: 1}?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, c: 7, q: 7}. What is prob of sequence cq?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218592 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5\/2, 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -16.5. Let l = f - 6. Let y = l + -11. Round y to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-1)\/66)\/(12\/(-48))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -8. Let s(g) = 2*g + 18. Let c be s(m). What is the tens digit of 2 + (c - -120) + (-2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*j**4 - 24*j**2 + 28*j**2 + 2*j + 42*j**2 - 34*j**4 - 8*j**5 + 3*j**5 + 97 wrt j?\nAnswer: -300*j**2 - 624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 8*x**2 + 19*x - 75. Calculate i(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.6732 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 11:18 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 275?\nAnswer: -1\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 3014.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -218*g**2 + 1927*g + 1365. Differentiate d(w) with respect to w.\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*s + 24 = -3, 0 = 5*t - 4*s - 34. Solve -b = -3*q - 3, b + t = -5*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 68, 114, 176, 260, 372, 518?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -3*x - 16. Calculate the remainder when 64 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - u + 11*u - 7*u - 1576*u**3.\nAnswer: -1576*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11867\/5434 + 1\/494. What is the common denominator of w and 63\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (1 + 1 + sqrt(11))) + 2 + sqrt(1331).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 388\/(-2910) + 2\/25*(-590)\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 4*z - 1. Let i(n) = -143*n**3 - 35*n**2 + 41*n + 2. Let g(l) = -i(l) - 2*x(l). Let d(a) = -9*a**3 - 2*a**2 + 2*a. Calculate 33*d(b) + 2*g(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 + 5*p**3 + 2524*p - 1252*p - 1272*p - 9.\nAnswer: -5*p**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + -712764055.\nAnswer: -712764061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 14) in base 10?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 154\nAnswer: 2618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.497435 millilitres?\nAnswer: 0.001497435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 11:02 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17414.\nAnswer: 2, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 11 = 4*z. Let x(p) = 2*p**2 - 3*p**2 - z*p**2 + 0*p**2. Let n(h) = 3*h**2. Give n(x(v)).\nAnswer: 363*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*t**3 + 64\/3 + 16*t + 4*t**2.\nAnswer: (t + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 + 6.11. Let b = -15 + h. Let k = b + 9.00000039. Round k to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.976 to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -5 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 6*f + 10. Let z = 31\/5 + -284\/45. Which is the nearest to f? (a) z (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120.1 - -125.228. Let g = h + -5. Round g to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-4)*a**7)\/((a*a**(-4)\/a)\/a**(-3\/5)) assuming a is positive.\nAnswer: a**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 - 4*x - 5. Suppose 865*d - 860*d = 135. Suppose -c - d = 2*w - 30, 4*w = c + 21. What is l(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.261 + 0.039. Let f = -0.5 - -0.3. Let s = 0.3 - f. Which is the smallest value? (a) s (b) j (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 104 = 64 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -1\/88 in ascending order.\nAnswer: -3, -2, -1\/88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1162 divided by -1.\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 148*s - 609. Let a be i(-4). Let p(k) = k**2 - 1. Let q(f) = -2*f**3 - 6*f**2 + 2*f + 2. Calculate a*q(b) - 4*p(b).\nAnswer: 2*b**3 + 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -u - 161, 0 = -3*i + 5*u - 9*u + 92. Suppose -i*g + 1800 = -29*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + 18 + -24 + 13 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -400384 divided by -68?\nAnswer: 5888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 2\/7 (c) -1\/36 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k + 8. Let a be r(-7). Let o = 4 + -8. Let p be ((-270)\/o)\/(6\/8). What is the highest common divisor of p and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let u(c) = -c. Let z = 3 - 4. Let w(n) = 5*n + 2*n - 8*n. Let m(v) = z*w(v) + 3*u(v). Give m(i(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 3:18 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10850.972 rounded to the nearest 10?\nAnswer: -10850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:22 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 9*q**2 + 22 - 8*q**4 + 6*q**4 + 2*q - 5*q**3 - 1 - 11*q**2 to f*q**3 + g*q**2 + j*q**4 + w + m*q and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:43 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5467435 and 0.06?\nAnswer: 328046.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 54*p**2 - 288*p - 384 = 0. What is p?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3434 + -3429. Which is the nearest to -1\/10? (a) r (b) 4 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047266402 to five decimal places.\nAnswer: -0.04727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1014)\/(-4))\/((-3)\/(-2832)*12). Suppose a = 4*x + 3*b, 10217 = 3*x - 5*b - 4754. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21369, -42736, -64103, -85470?\nAnswer: -106837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-561)\/(-27) - 10\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 8*z**2 + 5*z - 8. Let w be p(-7). Suppose w = 2*l + l. Solve 2 = 2*j, 0 = -4*o + j + l - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 12 + 13. Let p(j) = -j**2 + 5*j - 5. Let w be p(5). Sort g, w, -3 in ascending order.\nAnswer: w, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/4 - 9489*c**2\/4 - 269763*c\/2 + 577530 = 0. Calculate c.\nAnswer: -3105, -62, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42210 divided by -6?\nAnswer: -7035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 1. Let u(l) = -5*l**3 + 6*l**2 - 6*l + 5. Let n(a) = 3*d(a) + u(a). Find x such that n(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 60398568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42490, 42488, 42486, 42484?\n\"Answer: -2*s + 42492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2.6. Let n = -12.1 + 28.4. Let u = n - 16. Which is the closest to -2? (a) 3 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30997420.\nAnswer: 2, 5, 59, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9882 - -0.0118. Let s = -3511\/10 - -351. Put w, 0.3, 2, s in decreasing order.\nAnswer: w, 2, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**5 + 828*w**4 - 826*w**3 = 0.\nAnswer: 0, 1, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5328702 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 396?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-378)\/(-63).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5 + 30*l**4 + 10*l**3 - 100*l**2 - 135*l - 50 = 0. What is l?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 5*n + 6. Let p be l(6). Suppose p = -2*x + 10. Suppose a - 2*a - x = d, -d + 10 = -2*a. Solve d*q + 15 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -387\/13?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a factor of 9313408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1122103?\nAnswer: -1122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -82317.9?\nAnswer: -24695.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 7*o**2 + 2. Let y be p(7). Let v(h) = 4*h**2 - 3*h + 3. What is the remainder when v(y) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 50*m**2 - 51*m**2 + 4*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 3*i. Suppose i*c = 4*c - 22. What is the units digit of (0 + -2 - 0) + c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*n + 28 = 5*q - 149*n, 0 = -3*q + n + 22 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q - 6*q)*(1 + 0 + 0)*(-2 + 0 - 2)*(6*q - 6*q + 3*q**2 + (-6*q - 4*q + 5*q)*(-4*q + 2*q + 4*q)).\nAnswer: -224*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.35 + 225.35. Let x = z - 217. Which is the closest to 4\/19? (a) 3 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiceielceeivirlicele. Give prob of picking 1 l, 1 r, and 1 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 129. Suppose -v - 377 = -5*p + 2*v, 0 = -p + 2*v + r. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3*1683\/(-7854))\/((-1)\/329).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -w - 2*h, -2*w + 4*h = -8. Let s(n) = -n**2 + 88 + 74 + w*n**2 - n. Does 27 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18560 take away 59?\nAnswer: -18619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.015 in -0.5, 7, -6\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 7*j**5\/240 - j**4\/48 - 9*j**2. Determine q, given that s(q) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537907 = -48*m - 217171. Calculate the greatest common divisor of 52 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from bzmmkxk.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/3 + 2*p**4 + 19*p**3\/3 - 20*p**2\/3 - 12*p + 32\/3 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllllllllllvvvllllll. Give prob of sequence vvv.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gag when three letters picked without replacement from {a: 1, u: 4, g: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 4 = 24*w. Suppose w*h - 12 = -2*h. What is the derivative of 147*p - 4*p**h - 5 - 147*p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.594 times -0.39?\nAnswer: 0.23166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010331 (base 4) in base 15?\nAnswer: 147a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 11*f**2 - 7*f - 73. Let s(w) = w**3 - 10*w**2 + 10*w + 71. Let k(d) = 5*p(d) + 4*s(d). What is k(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5 = 2*b - 1, 0 = 2*b + s + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18774089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-2\/11))\/(m*m*(m**(11\/3)*m*m)\/m) assuming m is positive.\nAnswer: m**(-127\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (520*o - 266*o + 108*o**2 - 257*o)*(o**3 + 0 + 0).\nAnswer: 108*o**5 - 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, o: 5, v: 5}. What is prob of sequence uoo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 290201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 47820 divided by 9564\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32255152?\nAnswer: 2, 2015947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t + 6. Let c(b) = 1. Give a(i) - 5*c(i).\nAnswer: -6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4640 and 211584.\nAnswer: 1057920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y + 32*y**2 + 7*y - 5*y**3 + 5*y**3 + 2 + y**4 - 6*y**3 + 4*y**3 as w*y**2 + h*y**4 + g*y**3 + v*y + r and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*g - 6 = 0, 0*g - 4 = 4*g. Suppose 2*f - 8 = 4*s, f = 4*f - s - 12. Solve 0 = -4*j + f*w - 4, -4*j - 3*w = 26 - o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 75. Suppose 0 = -p + 2, -n + 6*n = -3*p + 26. Let t(d) = -10*d + 5. Let g(v) = -9*v + 4. Determine m*g(h) + n*t(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15817132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-40) - (3 - 60\/(-16)). Let l(y) = -9*y**2 + 9*y + 2. Let u(x) = -4*x**2 + 4*x + 1. Give n*l(t) + 13*u(t).\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**3 + 0*h**3 + 0*h**3)*(0 + 0 + 3*h) + (0 - h**4 + 0)*(3 - 2 - 2) to n*h + l*h**4 + y*h**3 + j*h**2 + a and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*o**3 - 95*o**3 - 92*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -143, -288, -523, -878, -1383?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1610 and 1\/130.\nAnswer: 20930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = 31*m + 318 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 8*m - 4. Let p be w(10). What are the prime factors of (-53)\/(-4) + 6\/p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let s be v(1). Sort s, -0.2, -0.5 in ascending order.\nAnswer: -0.5, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hadaaldgllhb. What is prob of sequence bhl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 3)*(-4 + 6 - 4) + 249 + 41 + 229)*(0*r**3 + 0*r**3 + 3*r**3).\nAnswer: 1539*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {j: 1, s: 1, z: 1, t: 2, k: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4635 - 4636.2207. Let b = 1.47106 + h. Let k = b - 0.25. What is k rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35256*a**2 - 4*a**3 - 35256*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 33. Let d(u) = -40 + o + u. Let w be d(6). Solve -w*k + 15 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112022011 + -12?\nAnswer: 112021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.239 - -24.239. Which is the third smallest value? (a) -5 (b) 3 (c) 0 (d) 4\/7 (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a - 14. Let m be h(-13). Let c = m - 61. Suppose 2*l = c*l - 3299. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-81)\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 - 33606*x**2 - 335908*x - 806064 = 0.\nAnswer: -16793, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11922*c**2*n**3 - 22*c**2*n**2 + c**2*n - 434*c*n**3 - 84257*n**2 + 4 wrt n?\nAnswer: 71532*c**2 - 2604*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11923070077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 720*n**2 + 54*n + 2.\nAnswer: 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8 = 2*u, -2*u + 3*k - 1514 = -1524 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nusisajnu. What is prob of sequence ij?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 10962*s - 10959.\nAnswer: -3*(s + 1)*(s + 3653)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60888467 * -1.\nAnswer: 60888467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.06 - 16. Let a be (-15)\/(-9 - -4)*(2 - 3). Put -0.5, a, -0.2, s in increasing order.\nAnswer: a, -0.5, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(114)*2)\/sqrt(6) - (sqrt(19) + (-2 + sqrt(2299) - sqrt(19))))**2.\nAnswer: -36*sqrt(19) + 1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.9813 - 12.9766. Let c = z - 15. What is c rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(3\/20)*(f**(-2\/9)*f)**(1\/31))**(-1\/7) assuming f is positive.\nAnswer: f**(487\/97650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 2*f**2 + 4*f - 7. Give x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -9*x**4\/16 + 5*x**3\/2 - 3*x**2\/8 - 9*x\/2 + 22. Factor b(t).\nAnswer: -3*(t - 3)*(t - 1)*(3*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550 and 11770.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/13 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10210, -13105, -16000?\n\"Answer: -2895*m - 7315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 47, 0.5, -37, 0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 1904*u**2 - 60496*u + 113344.\nAnswer: 4*(u - 28)*(u - 2)*(u + 506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 3*o**2)*(-10 + 57*o + 6*o**2 - 51*o - 10*o**2).\nAnswer: 12*o**4 - 18*o**3 + 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -96, -351, -776, -1371, -2136?\n\"Answer: -85*w**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - ((-84 - -50) + 59)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 8*i + 8. Let u be f(11). What is the common denominator of 62\/21 and (-153)\/u + -3 + -3?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + g**2 + g - 1. Let o(r) = r**3 + 2*r**2 - 2*r + 2. Let s be o(-4). Let d be s\/(-55) - 3\/(-5). Give f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 + 6 - (2 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. Let a be (2 + -4)\/(2\/(-14)) + 0. What is the greatest common divisor of t and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 49 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*u + 33, -3*v - 36 = 4*u - 17 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079781 rounded to 6 dps?\nAnswer: 0.000798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10488*0.38.\nAnswer: 3985.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 122, -0.4.\nAnswer: -2, -0.4, 2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-91)\/35 - -3) + (-143)\/(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 14815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 36 = 2*j. Let f be -1*(-1)\/3*j. Suppose k + m = 47, f = m - 2*m. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + -120122134?\nAnswer: -120122234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(192) + (sqrt(192) - (3*sqrt(192) + sqrt(192))) + sqrt(192)))\/(sqrt(36)\/(sqrt(36)\/sqrt(6))*-1) + -3.\nAnswer: -7 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-12))\/5*(-16)\/(-70)*-7.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 2\/21*y**7 + 0*y**3 - 1 + 0*y + y**4 - 7*y**2 + 7\/15*y**5 - 3\/5*y**6. Factor i(q).\nAnswer: 4*q*(q - 3)*(q - 1)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000260368 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -353 - -341. Is v > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0*b**2 + 0 - 4*b - 1\/6*b**3. Let x(q) = -q**2. What is f(x(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/19297460 and 47\/28.\nAnswer: 19297460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230 + -163. Suppose 7*y = 95 - h. Solve -3*z - 6 - 16 = y*m, -m - 12 = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as -0.027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Suppose 3*r + o*w - 119 = 0, 3*r = 2*r - 2*w + 41. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242 - 10?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*i = -12, 3*i - 8*i = -25. Is 9 a factor of (b\/6)\/((-5)\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(2*sqrt(7)) + sqrt(245)*-4 + ((sqrt(5) - (1 + sqrt(5) - sqrt(5)))**2*1 - 2*sqrt(5)*-5) + 2.\nAnswer: -39*sqrt(5)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9)*(-27)\/(-6). Let j(f) = f**3 + 5*f**2 + 4*f + 2. Let o be j(-4). Let g be 0 + 8\/o + -4. Solve -7 = p*w - 2*b, w - 5*b = -g*b + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 33. Let u = c - -56. Let j = 15 + 28. What is the remainder when j is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100244541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7815, -7902, -7989, -8076, -8163, -8250?\nAnswer: -8337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 5*a + 4. Let f(w) = w + 13. Let g be f(-7). Let o be m(g). Let c = 1 + 4. Solve 4*x + o = -c*h, -4*h - 6 + 29 = -3*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 30 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -48*u - 2. Let s be v(-11). Suppose 5*r = -2*p + 379, -s = -5*r - p - 144. What are the prime factors of r?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5592*r - 648677. Calculate s(-116).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + -2 + 0 - (sqrt(1300) + (5 + -1*sqrt(1300))**2).\nAnswer: -1327 + 98*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1609816*h - 175651 wrt h.\nAnswer: -1609816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 1 i when three letters picked without replacement from ridqkkqod.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8463378 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*x + 1)*(2*x + x + 0*x) - 9*x + 9*x - 8*x**2 as k*x + i*x**2 + j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17290578.\nAnswer: 2, 3, 1433, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13175 is divided by 277?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86284)\/88)\/(-53)*-2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2943 = -66*u + 1202*u - 12031 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 6:04 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 1.08. Let w = 0.2 - j. What is w rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 - 14643*g + 14646 = 0. What is g?\nAnswer: -4882, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199 - -505. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5405227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 3:29 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18029410?\nAnswer: 2, 5, 7, 181, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -73, -79, -85?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16342, -32798, -49252, -65704, -82154, -98602, -115048?\nAnswer: -131492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7 + 1.3. Suppose -3*y = 2*y + 15. Which is the biggest value? (a) f (b) 1\/8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(4\/(-21) + 3\/(-21))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 9. Calculate the remainder when (35\/2 + x)*2 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.9 and 24804063.\nAnswer: -121539908.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.138 (b) 2\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -104 and -84 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 10*j**2 + 11*j + 8. Let h = 19 - 8. Let x be f(h). What is the tens digit of (x\/3)\/((-8)\/(-192))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.6830365 and 199?\nAnswer: 201.6830365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x - 8*x - 14*x + 33*x - 11*x - 3. Let g(k) = 2*k. Calculate g(y(z)).\nAnswer: -14*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 5*p. Suppose 3*c - 23 = -8. Let w be l(c). Suppose -r = -w*i + 3*i - 260, 438 = 5*i - 3*r. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6393\/38102 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.02 + 10.0195. Round w to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26025 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g**2 - g - 4. Let u(j) = -j**3 - 18*j**2 + 21*j + 33. Let s be u(-19). What is r(s)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -103, 385 in descending order.\nAnswer: 385, 8, 3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 30*s**2 - 102*s - 532. Determine w(-27).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-4)\/((-8)\/6). Suppose 5*z - 36 - 12 = -i, 0 = c*i - 5*z - 184. Suppose -n - 85 = -5*q + 4*n, 0 = 4*q - 2*n - i. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 716045 by -277.\nAnswer: -2585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/2323187682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 6\/55 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 25 = 2*p - 382, 0 = -3*p + u + 534. Let k = 114 - p. Let b be 3*(-3)\/k*1. Do -1 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/17, -2\/7, -0.9, -2\/5?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13831*l - 82 + 215 - 133)*(-2 + 1 - 1) to the form p*l + o and give p.\nAnswer: 27662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, -33, 3\/7 in decreasing order.\nAnswer: 3\/7, -0.1, -0.5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o + 6*h + 273618, o - 54698 = -2*h. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b6 + 1?\nAnswer: -4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19023 by -2.\nAnswer: -19023\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145076 is divided by 36202?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 37*o - 180 - 67.\nAnswer: -37*o - 362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-531 + 531 - 69*a)*(3*a - a - 4*a) + a - a - 2*a**2.\nAnswer: 136*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/7704 and -67\/432?\nAnswer: 46224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*b + 478*b - 1290 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**5\/20 + 3*a**2. Let n(b) = -31*b. What is n(v(o))?\nAnswer: 93*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 109 = -44. Suppose 0 = -0*y - y + 4, 344 = 4*m - 2*y. Let s be (-18)\/(-27) - m\/6. Which is bigger: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (48\/(-2))\/(-4). Solve 2*r + z*r = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -386 - -409. Calculate the remainder when (0 + 99\/6)*(-24)\/(-6) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -165257 - -1335?\nAnswer: -163722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15268\/55 + (-8)\/2. Let x = -27357\/100 + p. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Let u = 1 + o. Suppose 1 = c - u. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47434*b**4 + 36675*b.\nAnswer: 569208*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15172 + -15171.6. Which is the closest to y? (a) -0.2 (b) 244 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*r + 8585*r**2 - 731*r**5 + 2977*r - 53*r**5 - 8585*r**2 wrt r.\nAnswer: -15680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -2\/11777, 1577 in descending order.\nAnswer: 1577, 3\/2, -2\/11777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5 + sqrt(75))*-3*-6*-2*4)**2.\nAnswer: -1036800*sqrt(3) + 2073605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 54*u - 17 - 863 = 0, -4*o = -u - 5717 + 5749 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**2 - 6*s - 6. Let d(g) = -g**2 + g + 1. Let b(k) = -6*d(k) - u(k). Let w(f) = 34*f**2. What is w(b(h))?\nAnswer: 136*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4578637*o*t - 48676912*o wrt t.\nAnswer: 4578637*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5039725175 - -20420966306799\/4052. Let s = d - 3\/1013. Find the common denominator of -19\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -230?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/(f\/(f*f**1*f*f)))\/f)\/f)**(2\/71)*(f**0)**(17\/4))\/((f\/(f**(-2)\/f)*f**(-2))\/(f**(2\/3)*f**(-2\/5)*f)) assuming f is positive.\nAnswer: f**(-691\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/2, 0.297, 11, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3\/3 + 4*i**2 + 126*i - 143. What is the lowest common multiple of q(-7) and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*p - 8245 = -885 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 + 34443*a**2\/2 + 137798*a + 206706.\nAnswer: -(a - 34451)*(a + 2)*(a + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64524.03 millilitres in litres?\nAnswer: 64.52403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 4*p - 1. Let u be (-9)\/(-1)*(-30)\/(-90). Calculate q(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -27, 2, 21?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/5 (b) 224\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2.70247 (b) -4 (c) 0.1 (d) 25 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71806, -71778, -71752, -71728, -71706, -71686?\nAnswer: -71668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 63 = -49 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 6*m - 22, -3*k + 7 = -2*m + 21. Which is the third smallest value? (a) -5\/13 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569362492 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -2 (c) -159 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3047, 11, 1 in decreasing order.\nAnswer: 3047, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h - 31. Let j be l(9). Let c(a) = -8*a**2 - 5*a - 3. Let q(f) = 7*f**2 + 4*f + 2. Calculate j*q(d) + 4*c(d).\nAnswer: 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d - 1 + 96*d - 3 - 1.\nAnswer: 80*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169874 + 305397. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 2*y**2 + y. Let b be t(3). Let w(v) = v**2 + 6*v - 4. What is w(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -64 - (-128 + 228)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49\/12 + -4 + 5\/20. Which is bigger: 0.0336 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -101012?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 1, 4, 11, 5 in descending order.\nAnswer: 11, 5, 4, 1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 2*s**2 + 1. Let m = -151 + 149. Let q(a) = a**3 + 5*a**2 + 6*a - 1. Let v be q(m). Give g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1150, -1148, -1148, -1150, -1154, -1160, -1168?\n\"Answer: -r**2 + 5*r - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + -117. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -1. Suppose 4*p = -5*a + 11, -2*a - 6 = 2*p - 3*p. Suppose p*y - 16 = 20. Calculate the remainder when x is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*65\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 17. Let c be 27\/(-180)*16\/(-6). What is the second biggest value in 2, -1, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47297a - 4?\nAnswer: -472983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 - 6 = 0. Let c(y) = -3*y - 7. Let i(t) = 2*t + 3. Let w(d) = -4*c(d) - 9*i(d). Let n(q) = -7*q + 1. Determine a*w(v) + 4*n(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + (-114)\/(-24). Let m be (-20)\/u*(1 + -2). Let j be (m\/(-6))\/((-4)\/6). Is j bigger than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = 0, -4 - 5 = c - 2*p. Let a(r) = r + 16. What is the remainder when 17 is divided by a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + x. Let i(z) = -2*z**3 + 8*z. Let l(m) = -13*m + 79. Let n be l(6). Give n*i(a) - 8*f(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.079 + 33.079. Let n = -33.0000003 + c. Round n to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29)\/6 + ((-1)\/6)\/((-1)\/(-1)). Let z(h) = -33*h - 7. Let k(d) = 50*d + 10. Determine j*k(x) - 7*z(x).\nAnswer: -19*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 244605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g + 0 + 57\/56*g**8 + 0*g**3 + 0*g**5 + 0*g**2 + 0*g**6 + 0*g**7 + 17\/4*g**4. Find the third derivative of z(t) wrt t.\nAnswer: 6840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*u - 70*u = -87*u - 2779140. Is u <= -21379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d**2 - 10578*d. Let c(m) = -3*m**2 - 2645*m. Let u(z) = 9*c(z) - 2*i(z). Let l(h) = h. Calculate l(u(k)).\nAnswer: -k**2 - 2649*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3768 - 3647. Let x(i) = -i**3 - 3*i**2 + 3*i - 2. Let w be x(-6). What is the highest common divisor of w and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3673619362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1007487 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -631*q**5\/20 - 13*q**4\/12 + 23*q**3\/3 + 24*q**2 + 85*q. Let j be m(-18). Round j to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -1, -591, 3.\nAnswer: -591, -1, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 11*b + 11. Let a be h(-10). What are the prime factors of (a - 3) + 16\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*x**3 - 35 - 12 + 14 + 10 + 12.\nAnswer: -77*x**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 22*d**2. Let s(a) be the first derivative of 61*a**3\/3 - 1040. What is h(s(k))?\nAnswer: 81862*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*s**4 - 18*s**3 - 279 wrt s?\nAnswer: 12*s**3 - 54*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1413 - -1532. What is the least common multiple of j and 21?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + 2*(-1 + sqrt(1216)) + 0)**2 - (-5 + (sqrt(1216) - sqrt(1216)*-1)**2 + 2 + 2)).\nAnswer: -6 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1702*t + 41823 - 6081 = 0 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + 1*(sqrt(3872) + sqrt(3872) + 2) + -4)**2.\nAnswer: 176*sqrt(2) + 15489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 b when four letters picked without replacement from {p: 4, z: 4, m: 2, x: 1, b: 3}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*s**2*x - 2*s**2*z**3 - s*x*z + 2*z**3 wrt z?\nAnswer: -6*s**2*z**2 - s*x + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23939, -47878, -71817, -95756?\n\"Answer: -23939*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19515, 39042, 58571, 78102, 97635, 117170?\n\"Answer: a**2 + 19524*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/24 + 35\/105. Which is smaller: o or 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxlxcyasa. Give prob of sequence lasy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/29 greater than or equal to -143679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9508804 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 - 3 + 1 - x**2 + (x - 2*x - x)*(4*x - 3*x + x) + x**2 - x + x + 18*x**2 + 13*x**2 + 28*x**2.\nAnswer: 59*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8276600 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-22)*(-16)\/(-60))\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)\/s)**(-4\/9)\/(s*s\/s**(-1))**(3\/4)*(s*s\/(s*s*s**(-2\/5))*s**7)**(-2\/3) assuming s is positive.\nAnswer: s**(-431\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -263 + 261 + (9 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/7 + 3*p**3\/7 - 18*p**2\/7 - 32*p\/7 + 96\/7 = 0. What is p?\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 - 4*p. What is the units digit of n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135232 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/12 + 23*o. Let v(a) = -a**2 + 11*a - 8. Let c be v(10). Let d(m) = 3*m**2 - c + 0 + 2. Determine d(i(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/12*(2502\/(-360) - -7)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 643276 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from {m: 9, j: 4, k: 1, s: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 64, 210, 486, 934, 1596?\n\"Answer: 7*v**3 + 2*v**2 + 3*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29727034.\nAnswer: 2, 14863517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c73b (base 13) to base 7.\nAnswer: -143313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3 take away -366543879?\nAnswer: 366543892.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**2 + 99*g + 1 + 1 - 97*g to the form j*g**2 + x*g + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1343 + -472?\nAnswer: -1825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 13*t + 1. Let m(s) = -s**2 + 6*s - 2. Let n be m(5). Let k(w) = w**3 - 4*w - 1. Let i be k(n). What are the prime factors of f(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 210, 188, 144, 72, -34, -180, -372, -616?\n\"Answer: -d**3 - 5*d**2 + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 2. Let j be s(-2). Suppose -2*h - 2*l - 12 = 2*h, -2*l + j = -4*h. Let w be h\/(-1) + 0\/4. Solve 0*i - w = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -0*m - m - 2*y, m - 3*y = 55. What is the greatest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 580678?\nAnswer: 580678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639*a**3 + 0 + 71231*a - 5 + 5 - 71228*a.\nAnswer: -639*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*a - 104, 0 = 3*a - 5*g - 72 + 1. What is the highest common divisor of a and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 - 1362*b + 154587 = 0. Calculate b.\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*n + 29. Let p = 47 - 45. Let b be (1 - p - 0)\/(10\/(-80)). What is the greatest common factor of b and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**2))\/x*x\/((x\/((x*x**(3\/2))\/x))\/x*x)*(x\/x**(-1\/3))**(-16)*(x*x**(3\/2)*x*x*x**0*x)\/(x**(1\/4)*x\/x**4) assuming x is positive.\nAnswer: x**(-127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 15732?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 588\/70 - -6 - 2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m - 23. Let r(k) = -k - 6. Let p(x) = -3*c(x) + 11*r(x). Suppose 5*z + 20 = 0, -z = -3*h - 0*h + 13. Let u be ((-21)\/h)\/(-1*1). Give p(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 4*h - 9. Let q be k(-7). Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2297*s**2 - 1. Let w be n(1). Let a = -1467 - w. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*h = -87*h + 76*h - 1320 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a - 93. Let i be v(-14). Suppose 0*o - 2*o = -14. Suppose -2*r + i*w + 87 = 0, -2*r - o*w + 57 = -2*w. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 49*t - 3728. Calculate l(70).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 73 (c) -2\/11 (d) -1 (e) -25 (f) 4 (g) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -24, -15, 14, 69, 156, 281, 450?\n\"Answer: j**3 + j**2 - 15*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1641*i + 1299669. Give u(-792).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/(-4) - 5)*4\/6. Let t be 2 + (1 - 4)\/(36\/(-264)). Let k be (8\/t)\/((-1)\/(-12)). Solve -k*x + 8 = -d*r, 5*x - 5*r = 3 + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 2*x**2 - x. Let z be c(-1). Let i be z\/2*(-3)\/(-6). Let t(u) = u + 4. Calculate t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*t - 14 = 0, 5*d + 0*t - 20 = -2*t. Let r be (2\/d)\/((-5)\/(-90)). What is the greatest common divisor of r and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i + 164*i - 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*((c*((c*(c**(1\/3)*c)\/c)\/c)\/c)\/c)\/c))*c)**(-15\/8)\/(c\/c**(1\/8)*(c\/c**(3\/5))\/c))**(1\/6))**(-30) assuming c is positive.\nAnswer: c**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404.1235 millennia to months.\nAnswer: 4849482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20 + 4 + 12)*-154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -157 - -152 - ((1 - 4) + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i**3 + 58 - 111*i**3 - 35 - 36 + 13.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 12:45 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*-12*33\/154*(-2)\/4\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+0.060953712013924\nAnswer: -0.439046287986076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76439349 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibiiibibbibiibiiii. Give prob of sequence iibi.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {f: 1, y: 1, i: 1, k: 2, w: 2, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46263 is divided by 1596.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34106, 34133, 34160, 34187, 34214?\n\"Answer: 27*q + 34079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 9855\nAnswer: 1\/3285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -3*g + 5*y - 29, g = -y + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 + 27524*i**2 + 110084*i + 110080 = 0.\nAnswer: -27520, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -46. Suppose -4*z + 4*h + 191 = 5*h, l*h + 211 = 4*z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.07, 95\/2, -3.9, 0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1970*r**2. Let c(n) = -47*n + 24. Let y(d) = 87*d - 44. Let t(j) = 11*c(j) + 6*y(j). Calculate q(t(z)).\nAnswer: 49250*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 6*m**2 + 19*m - 39. Let v be i(4). Solve -x - 2 = -j, v*j + 5 = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*q + 35507, -r - 2443*q - 35513 = -2440*q. What is r rounded to the nearest one hundred?\nAnswer: -35500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + 141*s - 19. Let c be t(28). Solve c = 24*y - 15*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 4*i**2 + 371 + 2*i**2.\nAnswer: -i**2 + 371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a - 2. Let p be z(-1). Let d(j) = 2*j - 12. Let v be d(p). Suppose 0 = 4*f + 4, -5*l - 2 = -2*f - v. Solve 4*o - 3 - 1 = l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209 - 267. Let z = -690 - -631.6. Let h = d - z. Sort 0.02, 0, h, 3.\nAnswer: 0, 0.02, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -13*p**3 + 24*p**2 + 23*p - 40. Let j(l) = 3*l**3 - 6*l**2 - 6*l + 10. Let v(q) = -2*a(q) - 9*j(q). Let n be v(7). Sort n, 2, 3 in increasing order.\nAnswer: n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, u: 4, p: 3}. What is prob of picking 2 c and 1 u?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 192*i**2 + 1023*i + 1218 = 0. Calculate i.\nAnswer: -1, 7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(96\/(-12))*-2*((-261)\/(-126))\/(-29).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 6*b**2 - b + 8. Let h = -7 - -13. Let g be t(h). Let r(i) be the first derivative of i**4\/2 - 2*i**3\/3 - i**2\/2 - i - 42. Determine r(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, j: 1, s: 1, v: 1}. What is prob of sequence ns?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + (-13 - -3) - -2 - (-13 - (-31 + 23))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87839690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15262046 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - t**4 - 9*t + t + 6*t + 5*t**2 as a + o*t**4 + q*t**2 + z*t + u*t**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/26 - -2)*12\/(-57)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/13 - 222*a**2\/13 + 2388*a\/13 - 3872\/13 = 0. What is a?\nAnswer: -121, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(8\/4))\/((-4)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 + -0.25. Let a = i - -0.126. Round a to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 1587177?\nAnswer: 6348708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 414 - 410. Let q = 4 + -4.4. Which is the closest to k? (a) 5 (b) -6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/7)*t\/(t**(-8)\/t)*(t\/t**5)\/(t\/(t**(2\/21)*t)) assuming t is positive.\nAnswer: t**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -220.44 and 18.\nAnswer: -202.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 279, 233, 187, 141?\n\"Answer: -46*k + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8822994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = n + 4*g, 0 = 12*n + 13*g - 14*g - 42 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 14*x**2 - 45*x - 19. Let c be p(-10). Solve -c*s = -21*s - 70 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959113277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 5*n**2 + 3*n - 1. Let s be 2\/(1 + (-2)\/4). Let m be z(s). Let d = m - 27. Which is bigger: d or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -3\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.091, -5\/6, 2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 938612 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35418 (base 15) in base 3?\nAnswer: 22121202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10264 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}